%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG053+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:35:57 EDT 2023

% Result   : Theorem 27.46s 4.38s
% Output   : Proof 245.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG053+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 03:23:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.60  ________       _____
% 0.19/0.60  ___  __ \_________(_)________________________________
% 0.19/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60  
% 0.19/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60  (2023-06-19)
% 0.19/0.60  
% 0.19/0.60  (c) Philipp Rümmer, 2009-2023
% 0.19/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60                Amanda Stjerna.
% 0.19/0.60  Free software under BSD-3-Clause.
% 0.19/0.60  
% 0.19/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60  
% 0.19/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.62  Running up to 7 provers in parallel.
% 0.69/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.69/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.69/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.69/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.69/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.69/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.69/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 10.20/2.10  Prover 1: Preprocessing ...
% 10.20/2.10  Prover 4: Preprocessing ...
% 10.50/2.12  Prover 2: Preprocessing ...
% 10.50/2.12  Prover 6: Preprocessing ...
% 10.50/2.13  Prover 5: Preprocessing ...
% 10.50/2.13  Prover 3: Preprocessing ...
% 10.50/2.13  Prover 0: Preprocessing ...
% 18.78/3.22  Prover 4: Constructing countermodel ...
% 18.78/3.22  Prover 1: Constructing countermodel ...
% 18.78/3.25  Prover 3: Constructing countermodel ...
% 18.78/3.27  Prover 2: Constructing countermodel ...
% 19.72/3.37  Prover 0: Constructing countermodel ...
% 19.72/3.40  Prover 6: Constructing countermodel ...
% 26.26/4.25  Prover 5: Constructing countermodel ...
% 27.46/4.37  Prover 6: proved (3739ms)
% 27.46/4.37  
% 27.46/4.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.46/4.38  
% 27.46/4.38  Prover 2: stopped
% 27.46/4.38  Prover 5: stopped
% 27.46/4.38  Prover 3: stopped
% 27.46/4.40  Prover 0: stopped
% 27.46/4.40  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 27.46/4.40  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 27.46/4.40  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 27.46/4.40  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 27.46/4.40  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 32.22/4.97  Prover 13: Preprocessing ...
% 32.22/4.97  Prover 8: Preprocessing ...
% 32.22/4.98  Prover 7: Preprocessing ...
% 32.22/5.00  Prover 10: Preprocessing ...
% 32.22/5.01  Prover 11: Preprocessing ...
% 34.14/5.19  Prover 8: Constructing countermodel ...
% 35.11/5.33  Prover 13: Constructing countermodel ...
% 35.11/5.33  Prover 7: Constructing countermodel ...
% 35.11/5.34  Prover 11: Constructing countermodel ...
% 35.51/5.37  Prover 10: Constructing countermodel ...
% 69.42/9.69  Prover 13: stopped
% 69.42/9.71  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 70.83/9.92  Prover 16: Preprocessing ...
% 73.91/10.27  Prover 16: Constructing countermodel ...
% 114.12/15.50  Prover 16: stopped
% 114.12/15.52  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 116.32/15.74  Prover 19: Preprocessing ...
% 118.06/15.97  Prover 1: stopped
% 118.60/16.03  Prover 19: Constructing countermodel ...
% 140.66/19.25  Prover 19: stopped
% 181.64/26.93  Prover 7: stopped
% 186.14/27.95  Prover 4: stopped
% 223.70/39.67  Prover 8: stopped
% 224.64/40.09  Prover 11: stopped
% 228.63/43.89  Prover 10: Found proof (size 7897347)
% 228.63/43.89  Prover 10: proved (39507ms)
% 228.63/43.89  
% 228.63/43.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 228.63/43.89  
% 231.54/44.76  % SZS output start Proof for theBenchmark
% 231.73/44.86  Assumptions after simplification:
% 231.73/44.86  ---------------------------------
% 231.73/44.86  
% 231.73/44.86    (ax1)
% 231.89/44.92    $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ? [v1: $i] : 
% 231.89/44.92    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 231.89/44.92      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 231.89/44.92    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 231.89/44.92    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 231.89/44.92    [v23: $i] :  ? [v24: $i] : (op1(e14, e14) = v24 & op1(e14, e13) = v23 &
% 231.89/44.92      op1(e14, e12) = v22 & op1(e14, e11) = v21 & op1(e14, e10) = v20 & op1(e13,
% 231.89/44.92        e14) = v19 & op1(e13, e13) = v18 & op1(e13, e12) = v17 & op1(e13, e11) =
% 231.89/44.92      v16 & op1(e13, e10) = v15 & op1(e12, e14) = v14 & op1(e12, e13) = v13 &
% 231.89/44.92      op1(e12, e12) = v12 & op1(e12, e11) = v11 & op1(e12, e10) = v10 & op1(e11,
% 231.89/44.92        e14) = v9 & op1(e11, e13) = v8 & op1(e11, e12) = v7 & op1(e11, e11) = v6 &
% 231.89/44.92      op1(e11, e10) = v5 & op1(e10, e14) = v4 & op1(e10, e13) = v3 & op1(e10, e12)
% 231.89/44.92      = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & $i(v24) & $i(v23) & $i(v22)
% 231.89/44.92      & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 231.89/44.92      $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 231.89/44.92      $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e14 |
% 231.89/44.92        v24 = e13 | v24 = e12 | v24 = e11 | v24 = e10) & (v23 = e14 | v23 = e13 |
% 231.89/44.92        v23 = e12 | v23 = e11 | v23 = e10) & (v22 = e14 | v22 = e13 | v22 = e12 |
% 231.89/44.92        v22 = e11 | v22 = e10) & (v21 = e14 | v21 = e13 | v21 = e12 | v21 = e11 |
% 231.89/44.92        v21 = e10) & (v20 = e14 | v20 = e13 | v20 = e12 | v20 = e11 | v20 = e10) &
% 231.89/44.92      (v19 = e14 | v19 = e13 | v19 = e12 | v19 = e11 | v19 = e10) & (v18 = e14 |
% 231.89/44.92        v18 = e13 | v18 = e12 | v18 = e11 | v18 = e10) & (v17 = e14 | v17 = e13 |
% 231.89/44.92        v17 = e12 | v17 = e11 | v17 = e10) & (v16 = e14 | v16 = e13 | v16 = e12 |
% 231.89/44.92        v16 = e11 | v16 = e10) & (v15 = e14 | v15 = e13 | v15 = e12 | v15 = e11 |
% 231.89/44.92        v15 = e10) & (v14 = e14 | v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) &
% 231.89/44.92      (v13 = e14 | v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e14 |
% 231.89/44.92        v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e14 | v11 = e13 |
% 231.89/44.92        v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e14 | v10 = e13 | v10 = e12 |
% 231.89/44.92        v10 = e11 | v10 = e10) & (v9 = e14 | v9 = e13 | v9 = e12 | v9 = e11 | v9 =
% 231.89/44.92        e10) & (v8 = e14 | v8 = e13 | v8 = e12 | v8 = e11 | v8 = e10) & (v7 = e14
% 231.89/44.92        | v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) & (v6 = e14 | v6 = e13 | v6 =
% 231.89/44.92        e12 | v6 = e11 | v6 = e10) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e11 |
% 231.89/44.92        v5 = e10) & (v4 = e14 | v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 =
% 231.89/44.92        e14 | v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e14 | v2 = e13 |
% 231.89/44.92        v2 = e12 | v2 = e11 | v2 = e10) & (v1 = e14 | v1 = e13 | v1 = e12 | v1 =
% 231.89/44.92        e11 | v1 = e10) & (v0 = e14 | v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 231.89/44.92  
% 231.89/44.92    (ax10)
% 231.89/44.92     ~ (e24 = e23) &  ~ (e24 = e22) &  ~ (e24 = e21) &  ~ (e24 = e20) &  ~ (e23 =
% 231.89/44.92      e22) &  ~ (e23 = e21) &  ~ (e23 = e20) &  ~ (e22 = e21) &  ~ (e22 = e20) & 
% 231.89/44.92    ~ (e21 = e20) & $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 231.89/44.92  
% 231.89/44.92    (ax12)
% 231.89/44.94    $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ? [v1: $i] : 
% 231.89/44.94    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 231.89/44.94      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 231.89/44.94    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 231.89/44.94    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 231.89/44.94    [v23: $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ?
% 231.89/44.94    [v28: $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 231.89/44.94    [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i] :  ?
% 231.89/44.94    [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42: $i] :  ?
% 231.89/44.94    [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ? [v47: $i] :  ?
% 231.89/44.94    [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i] :  ? [v52: $i] :  ?
% 231.89/44.94    [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56: $i] :  ? [v57: $i] :  ?
% 231.89/44.94    [v58: $i] :  ? [v59: $i] : ((v58 = e14 &  ~ (v59 = e13) &  ~ (v49 = v48) &
% 231.89/44.94        op1(v48, e14) = v59 & op1(v48, e13) = e14 & op1(e14, e13) = v48 & op1(e13,
% 231.89/44.94          e14) = v49 & $i(v59) & $i(v49) & $i(v48)) | (v56 = e14 &  ~ (v57 = e12)
% 231.89/44.94        &  ~ (v39 = v38) & op1(v38, e14) = v57 & op1(v38, e12) = e14 & op1(e14,
% 231.89/44.94          e12) = v38 & op1(e12, e14) = v39 & $i(v57) & $i(v39) & $i(v38)) | (v54 =
% 231.89/44.94        e14 &  ~ (v55 = e11) &  ~ (v27 = v26) & op1(v26, e14) = v55 & op1(v26,
% 231.89/44.94          e11) = e14 & op1(e14, e11) = v26 & op1(e11, e14) = v27 & $i(v55) &
% 231.89/44.94        $i(v27) & $i(v26)) | (v52 = e14 &  ~ (v53 = e10) &  ~ (v13 = v12) &
% 231.89/44.94        op1(v12, e14) = v53 & op1(v12, e10) = e14 & op1(e14, e10) = v12 & op1(e10,
% 231.89/44.94          e14) = v13 & $i(v53) & $i(v13) & $i(v12)) | (v50 = e13 &  ~ (v51 = e14)
% 231.89/44.94        &  ~ (v49 = v48) & op1(v49, e14) = e13 & op1(v49, e13) = v51 & op1(e14,
% 231.89/44.94          e13) = v48 & op1(e13, e14) = v49 & $i(v51) & $i(v49) & $i(v48)) | (v46 =
% 231.89/44.94        e13 &  ~ (v47 = e12) &  ~ (v35 = v34) & op1(v34, e13) = v47 & op1(v34,
% 231.89/44.94          e12) = e13 & op1(e13, e12) = v34 & op1(e12, e13) = v35 & $i(v47) &
% 231.89/44.94        $i(v35) & $i(v34)) | (v44 = e13 &  ~ (v45 = e11) &  ~ (v23 = v22) &
% 231.89/44.94        op1(v22, e13) = v45 & op1(v22, e11) = e13 & op1(e13, e11) = v22 & op1(e11,
% 231.89/44.94          e13) = v23 & $i(v45) & $i(v23) & $i(v22)) | (v42 = e13 &  ~ (v43 = e10)
% 231.89/44.94        &  ~ (v9 = v8) & op1(v8, e13) = v43 & op1(v8, e10) = e13 & op1(e13, e10) =
% 231.89/44.94        v8 & op1(e10, e13) = v9 & $i(v43) & $i(v9) & $i(v8)) | (v40 = e12 &  ~
% 231.89/44.94        (v41 = e14) &  ~ (v39 = v38) & op1(v39, e14) = e12 & op1(v39, e12) = v41 &
% 231.89/44.94        op1(e14, e12) = v38 & op1(e12, e14) = v39 & $i(v41) & $i(v39) & $i(v38)) |
% 231.89/44.94      (v36 = e12 &  ~ (v37 = e13) &  ~ (v35 = v34) & op1(v35, e13) = e12 &
% 231.89/44.94        op1(v35, e12) = v37 & op1(e13, e12) = v34 & op1(e12, e13) = v35 & $i(v37)
% 231.89/44.94        & $i(v35) & $i(v34)) | (v32 = e12 &  ~ (v33 = e11) &  ~ (v19 = v18) &
% 231.89/44.94        op1(v18, e12) = v33 & op1(v18, e11) = e12 & op1(e12, e11) = v18 & op1(e11,
% 231.89/44.94          e12) = v19 & $i(v33) & $i(v19) & $i(v18)) | (v30 = e12 &  ~ (v31 = e10)
% 231.89/44.94        &  ~ (v5 = v4) & op1(v4, e12) = v31 & op1(v4, e10) = e12 & op1(e12, e10) =
% 231.89/44.94        v4 & op1(e10, e12) = v5 & $i(v31) & $i(v5) & $i(v4)) | (v28 = e11 &  ~
% 231.89/44.94        (v29 = e14) &  ~ (v27 = v26) & op1(v27, e14) = e11 & op1(v27, e11) = v29 &
% 231.89/44.94        op1(e14, e11) = v26 & op1(e11, e14) = v27 & $i(v29) & $i(v27) & $i(v26)) |
% 231.89/44.94      (v24 = e11 &  ~ (v25 = e13) &  ~ (v23 = v22) & op1(v23, e13) = e11 &
% 231.89/44.94        op1(v23, e11) = v25 & op1(e13, e11) = v22 & op1(e11, e13) = v23 & $i(v25)
% 231.89/44.94        & $i(v23) & $i(v22)) | (v20 = e11 &  ~ (v21 = e12) &  ~ (v19 = v18) &
% 231.89/44.94        op1(v19, e12) = e11 & op1(v19, e11) = v21 & op1(e12, e11) = v18 & op1(e11,
% 231.89/44.94          e12) = v19 & $i(v21) & $i(v19) & $i(v18)) | (v16 = e11 &  ~ (v17 = e10)
% 231.89/44.94        &  ~ (v1 = v0) & op1(v0, e11) = v17 & op1(v0, e10) = e11 & op1(e11, e10) =
% 231.89/44.94        v0 & op1(e10, e11) = v1 & $i(v17) & $i(v1) & $i(v0)) | (v14 = e10 &  ~
% 231.89/44.94        (v15 = e14) &  ~ (v13 = v12) & op1(v13, e14) = e10 & op1(v13, e10) = v15 &
% 231.89/44.94        op1(e14, e10) = v12 & op1(e10, e14) = v13 & $i(v15) & $i(v13) & $i(v12)) |
% 231.89/44.94      (v10 = e10 &  ~ (v11 = e13) &  ~ (v9 = v8) & op1(v9, e13) = e10 & op1(v9,
% 231.89/44.94          e10) = v11 & op1(e13, e10) = v8 & op1(e10, e13) = v9 & $i(v11) & $i(v9)
% 231.89/44.94        & $i(v8)) | (v6 = e10 &  ~ (v7 = e12) &  ~ (v5 = v4) & op1(v5, e12) = e10
% 231.89/44.94        & op1(v5, e10) = v7 & op1(e12, e10) = v4 & op1(e10, e12) = v5 & $i(v7) &
% 231.89/44.94        $i(v5) & $i(v4)) | (v2 = e10 &  ~ (v3 = e11) &  ~ (v1 = v0) & op1(v1, e11)
% 231.89/44.94        = e10 & op1(v1, e10) = v3 & op1(e11, e10) = v0 & op1(e10, e11) = v1 &
% 231.89/44.94        $i(v3) & $i(v1) & $i(v0)))
% 231.89/44.94  
% 231.89/44.94    (ax13)
% 232.14/44.96    $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.14/44.96    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.14/44.96      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.14/44.96    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.14/44.96    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.14/44.96    [v23: $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ?
% 232.14/44.96    [v28: $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 232.14/44.96    [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i] :  ?
% 232.14/44.96    [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42: $i] :  ?
% 232.14/44.96    [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ? [v47: $i] :  ?
% 232.14/44.96    [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i] :  ? [v52: $i] :  ?
% 232.14/44.96    [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56: $i] :  ? [v57: $i] :  ?
% 232.14/44.96    [v58: $i] :  ? [v59: $i] : ((v58 = e24 &  ~ (v59 = e23) &  ~ (v49 = v48) &
% 232.14/44.96        op2(v48, e24) = v59 & op2(v48, e23) = e24 & op2(e24, e23) = v48 & op2(e23,
% 232.14/44.96          e24) = v49 & $i(v59) & $i(v49) & $i(v48)) | (v56 = e24 &  ~ (v57 = e22)
% 232.14/44.96        &  ~ (v39 = v38) & op2(v38, e24) = v57 & op2(v38, e22) = e24 & op2(e24,
% 232.14/44.96          e22) = v38 & op2(e22, e24) = v39 & $i(v57) & $i(v39) & $i(v38)) | (v54 =
% 232.14/44.96        e24 &  ~ (v55 = e21) &  ~ (v27 = v26) & op2(v26, e24) = v55 & op2(v26,
% 232.14/44.96          e21) = e24 & op2(e24, e21) = v26 & op2(e21, e24) = v27 & $i(v55) &
% 232.14/44.96        $i(v27) & $i(v26)) | (v52 = e24 &  ~ (v53 = e20) &  ~ (v13 = v12) &
% 232.14/44.96        op2(v12, e24) = v53 & op2(v12, e20) = e24 & op2(e24, e20) = v12 & op2(e20,
% 232.14/44.96          e24) = v13 & $i(v53) & $i(v13) & $i(v12)) | (v50 = e23 &  ~ (v51 = e24)
% 232.14/44.96        &  ~ (v49 = v48) & op2(v49, e24) = e23 & op2(v49, e23) = v51 & op2(e24,
% 232.14/44.96          e23) = v48 & op2(e23, e24) = v49 & $i(v51) & $i(v49) & $i(v48)) | (v46 =
% 232.14/44.96        e23 &  ~ (v47 = e22) &  ~ (v35 = v34) & op2(v34, e23) = v47 & op2(v34,
% 232.14/44.96          e22) = e23 & op2(e23, e22) = v34 & op2(e22, e23) = v35 & $i(v47) &
% 232.14/44.96        $i(v35) & $i(v34)) | (v44 = e23 &  ~ (v45 = e21) &  ~ (v23 = v22) &
% 232.14/44.96        op2(v22, e23) = v45 & op2(v22, e21) = e23 & op2(e23, e21) = v22 & op2(e21,
% 232.14/44.96          e23) = v23 & $i(v45) & $i(v23) & $i(v22)) | (v42 = e23 &  ~ (v43 = e20)
% 232.14/44.96        &  ~ (v9 = v8) & op2(v8, e23) = v43 & op2(v8, e20) = e23 & op2(e23, e20) =
% 232.14/44.96        v8 & op2(e20, e23) = v9 & $i(v43) & $i(v9) & $i(v8)) | (v40 = e22 &  ~
% 232.14/44.96        (v41 = e24) &  ~ (v39 = v38) & op2(v39, e24) = e22 & op2(v39, e22) = v41 &
% 232.14/44.96        op2(e24, e22) = v38 & op2(e22, e24) = v39 & $i(v41) & $i(v39) & $i(v38)) |
% 232.14/44.96      (v36 = e22 &  ~ (v37 = e23) &  ~ (v35 = v34) & op2(v35, e23) = e22 &
% 232.14/44.96        op2(v35, e22) = v37 & op2(e23, e22) = v34 & op2(e22, e23) = v35 & $i(v37)
% 232.14/44.96        & $i(v35) & $i(v34)) | (v32 = e22 &  ~ (v33 = e21) &  ~ (v19 = v18) &
% 232.14/44.96        op2(v18, e22) = v33 & op2(v18, e21) = e22 & op2(e22, e21) = v18 & op2(e21,
% 232.14/44.96          e22) = v19 & $i(v33) & $i(v19) & $i(v18)) | (v30 = e22 &  ~ (v31 = e20)
% 232.14/44.96        &  ~ (v5 = v4) & op2(v4, e22) = v31 & op2(v4, e20) = e22 & op2(e22, e20) =
% 232.14/44.96        v4 & op2(e20, e22) = v5 & $i(v31) & $i(v5) & $i(v4)) | (v28 = e21 &  ~
% 232.14/44.96        (v29 = e24) &  ~ (v27 = v26) & op2(v27, e24) = e21 & op2(v27, e21) = v29 &
% 232.14/44.96        op2(e24, e21) = v26 & op2(e21, e24) = v27 & $i(v29) & $i(v27) & $i(v26)) |
% 232.14/44.96      (v24 = e21 &  ~ (v25 = e23) &  ~ (v23 = v22) & op2(v23, e23) = e21 &
% 232.14/44.96        op2(v23, e21) = v25 & op2(e23, e21) = v22 & op2(e21, e23) = v23 & $i(v25)
% 232.14/44.96        & $i(v23) & $i(v22)) | (v20 = e21 &  ~ (v21 = e22) &  ~ (v19 = v18) &
% 232.14/44.96        op2(v19, e22) = e21 & op2(v19, e21) = v21 & op2(e22, e21) = v18 & op2(e21,
% 232.14/44.96          e22) = v19 & $i(v21) & $i(v19) & $i(v18)) | (v16 = e21 &  ~ (v17 = e20)
% 232.14/44.96        &  ~ (v1 = v0) & op2(v0, e21) = v17 & op2(v0, e20) = e21 & op2(e21, e20) =
% 232.14/44.96        v0 & op2(e20, e21) = v1 & $i(v17) & $i(v1) & $i(v0)) | (v14 = e20 &  ~
% 232.14/44.96        (v15 = e24) &  ~ (v13 = v12) & op2(v13, e24) = e20 & op2(v13, e20) = v15 &
% 232.14/44.96        op2(e24, e20) = v12 & op2(e20, e24) = v13 & $i(v15) & $i(v13) & $i(v12)) |
% 232.14/44.96      (v10 = e20 &  ~ (v11 = e23) &  ~ (v9 = v8) & op2(v9, e23) = e20 & op2(v9,
% 232.14/44.96          e20) = v11 & op2(e23, e20) = v8 & op2(e20, e23) = v9 & $i(v11) & $i(v9)
% 232.14/44.96        & $i(v8)) | (v6 = e20 &  ~ (v7 = e22) &  ~ (v5 = v4) & op2(v5, e22) = e20
% 232.14/44.96        & op2(v5, e20) = v7 & op2(e22, e20) = v4 & op2(e20, e22) = v5 & $i(v7) &
% 232.14/44.96        $i(v5) & $i(v4)) | (v2 = e20 &  ~ (v3 = e21) &  ~ (v1 = v0) & op2(v1, e21)
% 232.14/44.96        = e20 & op2(v1, e20) = v3 & op2(e21, e20) = v0 & op2(e20, e21) = v1 &
% 232.14/44.96        $i(v3) & $i(v1) & $i(v0)))
% 232.14/44.96  
% 232.14/44.96    (ax14)
% 232.14/44.96    op1(e14, e13) = e12 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13,
% 232.14/44.96      e11) = e14 & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 232.14/44.96  
% 232.14/44.96    (ax15)
% 232.14/44.96    op2(e24, e23) = e22 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23,
% 232.14/44.96      e21) = e24 & $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 232.14/44.96  
% 232.14/44.96    (ax16)
% 232.14/44.96    $i(e20) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ?
% 232.14/44.96    [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h1(e14) = v2 & h1(e13) = e20 & h1(e12)
% 232.14/44.96      = v3 & h1(e11) = v1 & h1(e10) = v0 & op2(v2, e20) = v3 & op2(e20, v3) = v0 &
% 232.14/44.96      op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.14/44.96  
% 232.14/44.96    (ax17)
% 232.14/44.97    $i(e21) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ?
% 232.14/44.97    [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h2(e14) = v2 & h2(e13) = e21 & h2(e12)
% 232.14/44.97      = v3 & h2(e11) = v1 & h2(e10) = v0 & op2(v2, e21) = v3 & op2(e21, v3) = v0 &
% 232.14/44.97      op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.14/44.97  
% 232.14/44.97    (ax18)
% 232.14/44.97    $i(e22) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ?
% 232.14/44.97    [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h3(e14) = v2 & h3(e13) = e22 & h3(e12)
% 232.14/44.97      = v3 & h3(e11) = v1 & h3(e10) = v0 & op2(v2, e22) = v3 & op2(e22, v3) = v0 &
% 232.14/44.97      op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.14/44.97  
% 232.14/44.97    (ax19)
% 232.14/44.97    $i(e23) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ?
% 232.14/44.97    [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h4(e14) = v2 & h4(e13) = e23 & h4(e12)
% 232.14/44.97      = v3 & h4(e11) = v1 & h4(e10) = v0 & op2(v2, e23) = v3 & op2(e23, v3) = v0 &
% 232.14/44.97      op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.14/44.97  
% 232.14/44.97    (ax2)
% 232.25/44.97    op1(unit1, e14) = e14 & op1(unit1, e13) = e13 & op1(unit1, e12) = e12 &
% 232.25/44.97    op1(unit1, e11) = e11 & op1(unit1, e10) = e10 & op1(e14, unit1) = e14 &
% 232.25/44.97    op1(e13, unit1) = e13 & op1(e12, unit1) = e12 & op1(e11, unit1) = e11 &
% 232.25/44.97    op1(e10, unit1) = e10 & $i(unit1) & $i(e14) & $i(e13) & $i(e12) & $i(e11) &
% 232.25/44.97    $i(e10) & (unit1 = e14 | unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 =
% 232.25/44.97      e10)
% 232.25/44.97  
% 232.25/44.97    (ax20)
% 232.25/44.97    $i(e24) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ?
% 232.25/44.97    [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h5(e14) = v2 & h5(e13) = e24 & h5(e12)
% 232.25/44.97      = v3 & h5(e11) = v1 & h5(e10) = v0 & op2(v2, e24) = v3 & op2(e24, v3) = v0 &
% 232.25/44.97      op2(e24, v1) = v2 & op2(e24, e24) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.25/44.97  
% 232.25/44.97    (ax3)
% 232.25/45.01    $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.25/45.01    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.25/45.01      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.25/45.01    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.25/45.01    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.25/45.01    [v23: $i] :  ? [v24: $i] : (((v24 = e14 & op1(e14, e14) = e14) | (v23 = e14 &
% 232.25/45.01          op1(e14, e13) = e14) | (v20 = e14 & op1(e14, e12) = e14) | (v15 = e14 &
% 232.25/45.01          op1(e14, e11) = e14) | (v8 = e14 & op1(e14, e10) = e14)) & ((v24 = e14 &
% 232.25/45.01          op1(e14, e14) = e14) | (v22 = e14 & op1(e13, e14) = e14) | (v18 = e14 &
% 232.25/45.01          op1(e12, e14) = e14) | (v12 = e14 & op1(e11, e14) = e14) | (v4 = e14 &
% 232.25/45.01          op1(e10, e14) = e14)) & ((v24 = e13 & op1(e14, e14) = e13) | (v23 = e13
% 232.25/45.01          & op1(e14, e13) = e13) | (v20 = e13 & op1(e14, e12) = e13) | (v15 = e13
% 232.25/45.01          & op1(e14, e11) = e13) | (v8 = e13 & op1(e14, e10) = e13)) & ((v24 = e13
% 232.25/45.01          & op1(e14, e14) = e13) | (v22 = e13 & op1(e13, e14) = e13) | (v18 = e13
% 232.25/45.01          & op1(e12, e14) = e13) | (v12 = e13 & op1(e11, e14) = e13) | (v4 = e13 &
% 232.25/45.01          op1(e10, e14) = e13)) & ((v24 = e12 & op1(e14, e14) = e12) | (v23 = e12
% 232.25/45.01          & op1(e14, e13) = e12) | (v20 = e12 & op1(e14, e12) = e12) | (v15 = e12
% 232.25/45.01          & op1(e14, e11) = e12) | (v8 = e12 & op1(e14, e10) = e12)) & ((v24 = e12
% 232.25/45.01          & op1(e14, e14) = e12) | (v22 = e12 & op1(e13, e14) = e12) | (v18 = e12
% 232.25/45.01          & op1(e12, e14) = e12) | (v12 = e12 & op1(e11, e14) = e12) | (v4 = e12 &
% 232.25/45.01          op1(e10, e14) = e12)) & ((v24 = e11 & op1(e14, e14) = e11) | (v23 = e11
% 232.25/45.01          & op1(e14, e13) = e11) | (v20 = e11 & op1(e14, e12) = e11) | (v15 = e11
% 232.25/45.01          & op1(e14, e11) = e11) | (v8 = e11 & op1(e14, e10) = e11)) & ((v24 = e11
% 232.25/45.01          & op1(e14, e14) = e11) | (v22 = e11 & op1(e13, e14) = e11) | (v18 = e11
% 232.25/45.01          & op1(e12, e14) = e11) | (v12 = e11 & op1(e11, e14) = e11) | (v4 = e11 &
% 232.25/45.01          op1(e10, e14) = e11)) & ((v24 = e10 & op1(e14, e14) = e10) | (v23 = e10
% 232.25/45.01          & op1(e14, e13) = e10) | (v20 = e10 & op1(e14, e12) = e10) | (v15 = e10
% 232.25/45.01          & op1(e14, e11) = e10) | (v8 = e10 & op1(e14, e10) = e10)) & ((v24 = e10
% 232.25/45.01          & op1(e14, e14) = e10) | (v22 = e10 & op1(e13, e14) = e10) | (v18 = e10
% 232.25/45.01          & op1(e12, e14) = e10) | (v12 = e10 & op1(e11, e14) = e10) | (v4 = e10 &
% 232.25/45.01          op1(e10, e14) = e10)) & ((v23 = e14 & op1(e14, e13) = e14) | (v21 = e14
% 232.25/45.01          & op1(e13, e13) = e14) | (v17 = e14 & op1(e12, e13) = e14) | (v11 = e14
% 232.25/45.01          & op1(e11, e13) = e14) | (v3 = e14 & op1(e10, e13) = e14)) & ((v23 = e13
% 232.25/45.01          & op1(e14, e13) = e13) | (v21 = e13 & op1(e13, e13) = e13) | (v17 = e13
% 232.25/45.01          & op1(e12, e13) = e13) | (v11 = e13 & op1(e11, e13) = e13) | (v3 = e13 &
% 232.25/45.01          op1(e10, e13) = e13)) & ((v23 = e12 & op1(e14, e13) = e12) | (v21 = e12
% 232.25/45.01          & op1(e13, e13) = e12) | (v17 = e12 & op1(e12, e13) = e12) | (v11 = e12
% 232.25/45.01          & op1(e11, e13) = e12) | (v3 = e12 & op1(e10, e13) = e12)) & ((v23 = e11
% 232.25/45.01          & op1(e14, e13) = e11) | (v21 = e11 & op1(e13, e13) = e11) | (v17 = e11
% 232.25/45.01          & op1(e12, e13) = e11) | (v11 = e11 & op1(e11, e13) = e11) | (v3 = e11 &
% 232.25/45.01          op1(e10, e13) = e11)) & ((v23 = e10 & op1(e14, e13) = e10) | (v21 = e10
% 232.25/45.01          & op1(e13, e13) = e10) | (v17 = e10 & op1(e12, e13) = e10) | (v11 = e10
% 232.25/45.01          & op1(e11, e13) = e10) | (v3 = e10 & op1(e10, e13) = e10)) & ((v22 = e14
% 232.25/45.01          & op1(e13, e14) = e14) | (v21 = e14 & op1(e13, e13) = e14) | (v19 = e14
% 232.25/45.01          & op1(e13, e12) = e14) | (v14 = e14 & op1(e13, e11) = e14) | (v7 = e14 &
% 232.25/45.01          op1(e13, e10) = e14)) & ((v22 = e13 & op1(e13, e14) = e13) | (v21 = e13
% 232.25/45.01          & op1(e13, e13) = e13) | (v19 = e13 & op1(e13, e12) = e13) | (v14 = e13
% 232.25/45.01          & op1(e13, e11) = e13) | (v7 = e13 & op1(e13, e10) = e13)) & ((v22 = e12
% 232.25/45.01          & op1(e13, e14) = e12) | (v21 = e12 & op1(e13, e13) = e12) | (v19 = e12
% 232.25/45.01          & op1(e13, e12) = e12) | (v14 = e12 & op1(e13, e11) = e12) | (v7 = e12 &
% 232.25/45.01          op1(e13, e10) = e12)) & ((v22 = e11 & op1(e13, e14) = e11) | (v21 = e11
% 232.25/45.01          & op1(e13, e13) = e11) | (v19 = e11 & op1(e13, e12) = e11) | (v14 = e11
% 232.25/45.01          & op1(e13, e11) = e11) | (v7 = e11 & op1(e13, e10) = e11)) & ((v22 = e10
% 232.25/45.01          & op1(e13, e14) = e10) | (v21 = e10 & op1(e13, e13) = e10) | (v19 = e10
% 232.25/45.01          & op1(e13, e12) = e10) | (v14 = e10 & op1(e13, e11) = e10) | (v7 = e10 &
% 232.25/45.01          op1(e13, e10) = e10)) & ((v20 = e14 & op1(e14, e12) = e14) | (v19 = e14
% 232.25/45.01          & op1(e13, e12) = e14) | (v16 = e14 & op1(e12, e12) = e14) | (v10 = e14
% 232.25/45.01          & op1(e11, e12) = e14) | (v2 = e14 & op1(e10, e12) = e14)) & ((v20 = e13
% 232.25/45.01          & op1(e14, e12) = e13) | (v19 = e13 & op1(e13, e12) = e13) | (v16 = e13
% 232.25/45.01          & op1(e12, e12) = e13) | (v10 = e13 & op1(e11, e12) = e13) | (v2 = e13 &
% 232.25/45.01          op1(e10, e12) = e13)) & ((v20 = e12 & op1(e14, e12) = e12) | (v19 = e12
% 232.25/45.01          & op1(e13, e12) = e12) | (v16 = e12 & op1(e12, e12) = e12) | (v10 = e12
% 232.25/45.01          & op1(e11, e12) = e12) | (v2 = e12 & op1(e10, e12) = e12)) & ((v20 = e11
% 232.25/45.01          & op1(e14, e12) = e11) | (v19 = e11 & op1(e13, e12) = e11) | (v16 = e11
% 232.25/45.01          & op1(e12, e12) = e11) | (v10 = e11 & op1(e11, e12) = e11) | (v2 = e11 &
% 232.25/45.01          op1(e10, e12) = e11)) & ((v20 = e10 & op1(e14, e12) = e10) | (v19 = e10
% 232.25/45.01          & op1(e13, e12) = e10) | (v16 = e10 & op1(e12, e12) = e10) | (v10 = e10
% 232.25/45.01          & op1(e11, e12) = e10) | (v2 = e10 & op1(e10, e12) = e10)) & ((v18 = e14
% 232.25/45.01          & op1(e12, e14) = e14) | (v17 = e14 & op1(e12, e13) = e14) | (v16 = e14
% 232.25/45.01          & op1(e12, e12) = e14) | (v13 = e14 & op1(e12, e11) = e14) | (v6 = e14 &
% 232.25/45.01          op1(e12, e10) = e14)) & ((v18 = e13 & op1(e12, e14) = e13) | (v17 = e13
% 232.25/45.01          & op1(e12, e13) = e13) | (v16 = e13 & op1(e12, e12) = e13) | (v13 = e13
% 232.25/45.01          & op1(e12, e11) = e13) | (v6 = e13 & op1(e12, e10) = e13)) & ((v18 = e12
% 232.25/45.01          & op1(e12, e14) = e12) | (v17 = e12 & op1(e12, e13) = e12) | (v16 = e12
% 232.25/45.01          & op1(e12, e12) = e12) | (v13 = e12 & op1(e12, e11) = e12) | (v6 = e12 &
% 232.25/45.01          op1(e12, e10) = e12)) & ((v18 = e11 & op1(e12, e14) = e11) | (v17 = e11
% 232.25/45.01          & op1(e12, e13) = e11) | (v16 = e11 & op1(e12, e12) = e11) | (v13 = e11
% 232.25/45.01          & op1(e12, e11) = e11) | (v6 = e11 & op1(e12, e10) = e11)) & ((v18 = e10
% 232.25/45.01          & op1(e12, e14) = e10) | (v17 = e10 & op1(e12, e13) = e10) | (v16 = e10
% 232.25/45.01          & op1(e12, e12) = e10) | (v13 = e10 & op1(e12, e11) = e10) | (v6 = e10 &
% 232.25/45.01          op1(e12, e10) = e10)) & ((v15 = e14 & op1(e14, e11) = e14) | (v14 = e14
% 232.25/45.01          & op1(e13, e11) = e14) | (v13 = e14 & op1(e12, e11) = e14) | (v9 = e14 &
% 232.25/45.01          op1(e11, e11) = e14) | (v1 = e14 & op1(e10, e11) = e14)) & ((v15 = e13 &
% 232.25/45.01          op1(e14, e11) = e13) | (v14 = e13 & op1(e13, e11) = e13) | (v13 = e13 &
% 232.25/45.01          op1(e12, e11) = e13) | (v9 = e13 & op1(e11, e11) = e13) | (v1 = e13 &
% 232.25/45.01          op1(e10, e11) = e13)) & ((v15 = e12 & op1(e14, e11) = e12) | (v14 = e12
% 232.25/45.01          & op1(e13, e11) = e12) | (v13 = e12 & op1(e12, e11) = e12) | (v9 = e12 &
% 232.25/45.01          op1(e11, e11) = e12) | (v1 = e12 & op1(e10, e11) = e12)) & ((v15 = e11 &
% 232.25/45.01          op1(e14, e11) = e11) | (v14 = e11 & op1(e13, e11) = e11) | (v13 = e11 &
% 232.25/45.01          op1(e12, e11) = e11) | (v9 = e11 & op1(e11, e11) = e11) | (v1 = e11 &
% 232.25/45.01          op1(e10, e11) = e11)) & ((v15 = e10 & op1(e14, e11) = e10) | (v14 = e10
% 232.25/45.01          & op1(e13, e11) = e10) | (v13 = e10 & op1(e12, e11) = e10) | (v9 = e10 &
% 232.25/45.01          op1(e11, e11) = e10) | (v1 = e10 & op1(e10, e11) = e10)) & ((v12 = e14 &
% 232.25/45.01          op1(e11, e14) = e14) | (v11 = e14 & op1(e11, e13) = e14) | (v10 = e14 &
% 232.25/45.01          op1(e11, e12) = e14) | (v9 = e14 & op1(e11, e11) = e14) | (v5 = e14 &
% 232.25/45.01          op1(e11, e10) = e14)) & ((v12 = e13 & op1(e11, e14) = e13) | (v11 = e13
% 232.25/45.01          & op1(e11, e13) = e13) | (v10 = e13 & op1(e11, e12) = e13) | (v9 = e13 &
% 232.25/45.01          op1(e11, e11) = e13) | (v5 = e13 & op1(e11, e10) = e13)) & ((v12 = e12 &
% 232.25/45.01          op1(e11, e14) = e12) | (v11 = e12 & op1(e11, e13) = e12) | (v10 = e12 &
% 232.25/45.01          op1(e11, e12) = e12) | (v9 = e12 & op1(e11, e11) = e12) | (v5 = e12 &
% 232.25/45.01          op1(e11, e10) = e12)) & ((v12 = e11 & op1(e11, e14) = e11) | (v11 = e11
% 232.25/45.01          & op1(e11, e13) = e11) | (v10 = e11 & op1(e11, e12) = e11) | (v9 = e11 &
% 232.25/45.01          op1(e11, e11) = e11) | (v5 = e11 & op1(e11, e10) = e11)) & ((v12 = e10 &
% 232.25/45.01          op1(e11, e14) = e10) | (v11 = e10 & op1(e11, e13) = e10) | (v10 = e10 &
% 232.25/45.01          op1(e11, e12) = e10) | (v9 = e10 & op1(e11, e11) = e10) | (v5 = e10 &
% 232.25/45.01          op1(e11, e10) = e10)) & ((v8 = e14 & op1(e14, e10) = e14) | (v7 = e14 &
% 232.25/45.01          op1(e13, e10) = e14) | (v6 = e14 & op1(e12, e10) = e14) | (v5 = e14 &
% 232.25/45.01          op1(e11, e10) = e14) | (v0 = e14 & op1(e10, e10) = e14)) & ((v8 = e13 &
% 232.25/45.01          op1(e14, e10) = e13) | (v7 = e13 & op1(e13, e10) = e13) | (v6 = e13 &
% 232.25/45.01          op1(e12, e10) = e13) | (v5 = e13 & op1(e11, e10) = e13) | (v0 = e13 &
% 232.25/45.01          op1(e10, e10) = e13)) & ((v8 = e12 & op1(e14, e10) = e12) | (v7 = e12 &
% 232.25/45.01          op1(e13, e10) = e12) | (v6 = e12 & op1(e12, e10) = e12) | (v5 = e12 &
% 232.25/45.01          op1(e11, e10) = e12) | (v0 = e12 & op1(e10, e10) = e12)) & ((v8 = e11 &
% 232.25/45.01          op1(e14, e10) = e11) | (v7 = e11 & op1(e13, e10) = e11) | (v6 = e11 &
% 232.25/45.01          op1(e12, e10) = e11) | (v5 = e11 & op1(e11, e10) = e11) | (v0 = e11 &
% 232.25/45.01          op1(e10, e10) = e11)) & ((v4 = e14 & op1(e10, e14) = e14) | (v3 = e14 &
% 232.25/45.01          op1(e10, e13) = e14) | (v2 = e14 & op1(e10, e12) = e14) | (v1 = e14 &
% 232.25/45.01          op1(e10, e11) = e14) | (v0 = e14 & op1(e10, e10) = e14)) & ((v4 = e13 &
% 232.25/45.01          op1(e10, e14) = e13) | (v3 = e13 & op1(e10, e13) = e13) | (v2 = e13 &
% 232.25/45.01          op1(e10, e12) = e13) | (v1 = e13 & op1(e10, e11) = e13) | (v0 = e13 &
% 232.25/45.01          op1(e10, e10) = e13)) & ((v4 = e12 & op1(e10, e14) = e12) | (v3 = e12 &
% 232.25/45.01          op1(e10, e13) = e12) | (v2 = e12 & op1(e10, e12) = e12) | (v1 = e12 &
% 232.25/45.01          op1(e10, e11) = e12) | (v0 = e12 & op1(e10, e10) = e12)) & ((v4 = e11 &
% 232.25/45.01          op1(e10, e14) = e11) | (v3 = e11 & op1(e10, e13) = e11) | (v2 = e11 &
% 232.25/45.01          op1(e10, e12) = e11) | (v1 = e11 & op1(e10, e11) = e11) | (v0 = e11 &
% 232.25/45.01          op1(e10, e10) = e11)) & ((v0 = e10 & op1(e10, e10) = e10) | (((v8 = e10
% 232.25/45.01              & op1(e14, e10) = e10) | (v7 = e10 & op1(e13, e10) = e10) | (v6 =
% 232.25/45.01              e10 & op1(e12, e10) = e10) | (v5 = e10 & op1(e11, e10) = e10)) &
% 232.25/45.01          ((v4 = e10 & op1(e10, e14) = e10) | (v3 = e10 & op1(e10, e13) = e10) |
% 232.25/45.01            (v2 = e10 & op1(e10, e12) = e10) | (v1 = e10 & op1(e10, e11) =
% 232.25/45.01              e10)))))
% 232.25/45.01  
% 232.25/45.01    (ax4)
% 232.25/45.02    $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.25/45.02    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.25/45.02      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.25/45.02    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.25/45.02    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.25/45.02    [v23: $i] :  ? [v24: $i] : (op2(e24, e24) = v24 & op2(e24, e23) = v23 &
% 232.25/45.02      op2(e24, e22) = v22 & op2(e24, e21) = v21 & op2(e24, e20) = v20 & op2(e23,
% 232.25/45.02        e24) = v19 & op2(e23, e23) = v18 & op2(e23, e22) = v17 & op2(e23, e21) =
% 232.25/45.02      v16 & op2(e23, e20) = v15 & op2(e22, e24) = v14 & op2(e22, e23) = v13 &
% 232.25/45.02      op2(e22, e22) = v12 & op2(e22, e21) = v11 & op2(e22, e20) = v10 & op2(e21,
% 232.25/45.02        e24) = v9 & op2(e21, e23) = v8 & op2(e21, e22) = v7 & op2(e21, e21) = v6 &
% 232.25/45.02      op2(e21, e20) = v5 & op2(e20, e24) = v4 & op2(e20, e23) = v3 & op2(e20, e22)
% 232.25/45.02      = v2 & op2(e20, e21) = v1 & op2(e20, e20) = v0 & $i(v24) & $i(v23) & $i(v22)
% 232.25/45.02      & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 232.25/45.02      $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 232.25/45.02      $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e24 |
% 232.25/45.02        v24 = e23 | v24 = e22 | v24 = e21 | v24 = e20) & (v23 = e24 | v23 = e23 |
% 232.25/45.02        v23 = e22 | v23 = e21 | v23 = e20) & (v22 = e24 | v22 = e23 | v22 = e22 |
% 232.25/45.02        v22 = e21 | v22 = e20) & (v21 = e24 | v21 = e23 | v21 = e22 | v21 = e21 |
% 232.25/45.02        v21 = e20) & (v20 = e24 | v20 = e23 | v20 = e22 | v20 = e21 | v20 = e20) &
% 232.25/45.02      (v19 = e24 | v19 = e23 | v19 = e22 | v19 = e21 | v19 = e20) & (v18 = e24 |
% 232.25/45.02        v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v17 = e24 | v17 = e23 |
% 232.25/45.02        v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e24 | v16 = e23 | v16 = e22 |
% 232.25/45.02        v16 = e21 | v16 = e20) & (v15 = e24 | v15 = e23 | v15 = e22 | v15 = e21 |
% 232.25/45.02        v15 = e20) & (v14 = e24 | v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) &
% 232.25/45.02      (v13 = e24 | v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e24 |
% 232.25/45.02        v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e24 | v11 = e23 |
% 232.25/45.02        v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e24 | v10 = e23 | v10 = e22 |
% 232.25/45.02        v10 = e21 | v10 = e20) & (v9 = e24 | v9 = e23 | v9 = e22 | v9 = e21 | v9 =
% 232.25/45.02        e20) & (v8 = e24 | v8 = e23 | v8 = e22 | v8 = e21 | v8 = e20) & (v7 = e24
% 232.25/45.02        | v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) & (v6 = e24 | v6 = e23 | v6 =
% 232.25/45.02        e22 | v6 = e21 | v6 = e20) & (v5 = e24 | v5 = e23 | v5 = e22 | v5 = e21 |
% 232.25/45.02        v5 = e20) & (v4 = e24 | v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 =
% 232.25/45.02        e24 | v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e24 | v2 = e23 |
% 232.25/45.02        v2 = e22 | v2 = e21 | v2 = e20) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 =
% 232.25/45.02        e21 | v1 = e20) & (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 232.25/45.02  
% 232.52/45.02    (ax5)
% 232.52/45.02    op2(unit2, e24) = e24 & op2(unit2, e23) = e23 & op2(unit2, e22) = e22 &
% 232.52/45.02    op2(unit2, e21) = e21 & op2(unit2, e20) = e20 & op2(e24, unit2) = e24 &
% 232.52/45.02    op2(e23, unit2) = e23 & op2(e22, unit2) = e22 & op2(e21, unit2) = e21 &
% 232.52/45.02    op2(e20, unit2) = e20 & $i(unit2) & $i(e24) & $i(e23) & $i(e22) & $i(e21) &
% 232.52/45.02    $i(e20) & (unit2 = e24 | unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 =
% 232.52/45.02      e20)
% 232.52/45.02  
% 232.52/45.02    (ax6)
% 232.52/45.05    $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.52/45.05    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.52/45.05      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.52/45.05    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.52/45.05    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.52/45.05    [v23: $i] :  ? [v24: $i] : (((v24 = e24 & op2(e24, e24) = e24) | (v23 = e24 &
% 232.52/45.05          op2(e24, e23) = e24) | (v20 = e24 & op2(e24, e22) = e24) | (v15 = e24 &
% 232.52/45.05          op2(e24, e21) = e24) | (v8 = e24 & op2(e24, e20) = e24)) & ((v24 = e24 &
% 232.52/45.05          op2(e24, e24) = e24) | (v22 = e24 & op2(e23, e24) = e24) | (v18 = e24 &
% 232.52/45.05          op2(e22, e24) = e24) | (v12 = e24 & op2(e21, e24) = e24) | (v4 = e24 &
% 232.52/45.05          op2(e20, e24) = e24)) & ((v24 = e23 & op2(e24, e24) = e23) | (v23 = e23
% 232.52/45.05          & op2(e24, e23) = e23) | (v20 = e23 & op2(e24, e22) = e23) | (v15 = e23
% 232.52/45.05          & op2(e24, e21) = e23) | (v8 = e23 & op2(e24, e20) = e23)) & ((v24 = e23
% 232.52/45.05          & op2(e24, e24) = e23) | (v22 = e23 & op2(e23, e24) = e23) | (v18 = e23
% 232.52/45.05          & op2(e22, e24) = e23) | (v12 = e23 & op2(e21, e24) = e23) | (v4 = e23 &
% 232.52/45.05          op2(e20, e24) = e23)) & ((v24 = e22 & op2(e24, e24) = e22) | (v23 = e22
% 232.52/45.05          & op2(e24, e23) = e22) | (v20 = e22 & op2(e24, e22) = e22) | (v15 = e22
% 232.52/45.05          & op2(e24, e21) = e22) | (v8 = e22 & op2(e24, e20) = e22)) & ((v24 = e22
% 232.52/45.05          & op2(e24, e24) = e22) | (v22 = e22 & op2(e23, e24) = e22) | (v18 = e22
% 232.52/45.05          & op2(e22, e24) = e22) | (v12 = e22 & op2(e21, e24) = e22) | (v4 = e22 &
% 232.52/45.05          op2(e20, e24) = e22)) & ((v24 = e21 & op2(e24, e24) = e21) | (v23 = e21
% 232.52/45.05          & op2(e24, e23) = e21) | (v20 = e21 & op2(e24, e22) = e21) | (v15 = e21
% 232.52/45.05          & op2(e24, e21) = e21) | (v8 = e21 & op2(e24, e20) = e21)) & ((v24 = e21
% 232.52/45.05          & op2(e24, e24) = e21) | (v22 = e21 & op2(e23, e24) = e21) | (v18 = e21
% 232.52/45.05          & op2(e22, e24) = e21) | (v12 = e21 & op2(e21, e24) = e21) | (v4 = e21 &
% 232.52/45.05          op2(e20, e24) = e21)) & ((v24 = e20 & op2(e24, e24) = e20) | (v23 = e20
% 232.52/45.05          & op2(e24, e23) = e20) | (v20 = e20 & op2(e24, e22) = e20) | (v15 = e20
% 232.52/45.05          & op2(e24, e21) = e20) | (v8 = e20 & op2(e24, e20) = e20)) & ((v24 = e20
% 232.52/45.05          & op2(e24, e24) = e20) | (v22 = e20 & op2(e23, e24) = e20) | (v18 = e20
% 232.52/45.05          & op2(e22, e24) = e20) | (v12 = e20 & op2(e21, e24) = e20) | (v4 = e20 &
% 232.52/45.05          op2(e20, e24) = e20)) & ((v23 = e24 & op2(e24, e23) = e24) | (v21 = e24
% 232.52/45.05          & op2(e23, e23) = e24) | (v17 = e24 & op2(e22, e23) = e24) | (v11 = e24
% 232.52/45.05          & op2(e21, e23) = e24) | (v3 = e24 & op2(e20, e23) = e24)) & ((v23 = e23
% 232.52/45.05          & op2(e24, e23) = e23) | (v21 = e23 & op2(e23, e23) = e23) | (v17 = e23
% 232.52/45.05          & op2(e22, e23) = e23) | (v11 = e23 & op2(e21, e23) = e23) | (v3 = e23 &
% 232.52/45.05          op2(e20, e23) = e23)) & ((v23 = e22 & op2(e24, e23) = e22) | (v21 = e22
% 232.52/45.05          & op2(e23, e23) = e22) | (v17 = e22 & op2(e22, e23) = e22) | (v11 = e22
% 232.52/45.05          & op2(e21, e23) = e22) | (v3 = e22 & op2(e20, e23) = e22)) & ((v23 = e21
% 232.52/45.05          & op2(e24, e23) = e21) | (v21 = e21 & op2(e23, e23) = e21) | (v17 = e21
% 232.52/45.05          & op2(e22, e23) = e21) | (v11 = e21 & op2(e21, e23) = e21) | (v3 = e21 &
% 232.52/45.05          op2(e20, e23) = e21)) & ((v23 = e20 & op2(e24, e23) = e20) | (v21 = e20
% 232.52/45.05          & op2(e23, e23) = e20) | (v17 = e20 & op2(e22, e23) = e20) | (v11 = e20
% 232.52/45.05          & op2(e21, e23) = e20) | (v3 = e20 & op2(e20, e23) = e20)) & ((v22 = e24
% 232.52/45.05          & op2(e23, e24) = e24) | (v21 = e24 & op2(e23, e23) = e24) | (v19 = e24
% 232.52/45.05          & op2(e23, e22) = e24) | (v14 = e24 & op2(e23, e21) = e24) | (v7 = e24 &
% 232.52/45.05          op2(e23, e20) = e24)) & ((v22 = e23 & op2(e23, e24) = e23) | (v21 = e23
% 232.52/45.05          & op2(e23, e23) = e23) | (v19 = e23 & op2(e23, e22) = e23) | (v14 = e23
% 232.52/45.05          & op2(e23, e21) = e23) | (v7 = e23 & op2(e23, e20) = e23)) & ((v22 = e22
% 232.52/45.05          & op2(e23, e24) = e22) | (v21 = e22 & op2(e23, e23) = e22) | (v19 = e22
% 232.52/45.05          & op2(e23, e22) = e22) | (v14 = e22 & op2(e23, e21) = e22) | (v7 = e22 &
% 232.52/45.05          op2(e23, e20) = e22)) & ((v22 = e21 & op2(e23, e24) = e21) | (v21 = e21
% 232.52/45.05          & op2(e23, e23) = e21) | (v19 = e21 & op2(e23, e22) = e21) | (v14 = e21
% 232.52/45.05          & op2(e23, e21) = e21) | (v7 = e21 & op2(e23, e20) = e21)) & ((v22 = e20
% 232.52/45.05          & op2(e23, e24) = e20) | (v21 = e20 & op2(e23, e23) = e20) | (v19 = e20
% 232.52/45.05          & op2(e23, e22) = e20) | (v14 = e20 & op2(e23, e21) = e20) | (v7 = e20 &
% 232.52/45.05          op2(e23, e20) = e20)) & ((v20 = e24 & op2(e24, e22) = e24) | (v19 = e24
% 232.52/45.05          & op2(e23, e22) = e24) | (v16 = e24 & op2(e22, e22) = e24) | (v10 = e24
% 232.52/45.05          & op2(e21, e22) = e24) | (v2 = e24 & op2(e20, e22) = e24)) & ((v20 = e23
% 232.52/45.05          & op2(e24, e22) = e23) | (v19 = e23 & op2(e23, e22) = e23) | (v16 = e23
% 232.52/45.05          & op2(e22, e22) = e23) | (v10 = e23 & op2(e21, e22) = e23) | (v2 = e23 &
% 232.52/45.05          op2(e20, e22) = e23)) & ((v20 = e22 & op2(e24, e22) = e22) | (v19 = e22
% 232.52/45.05          & op2(e23, e22) = e22) | (v16 = e22 & op2(e22, e22) = e22) | (v10 = e22
% 232.52/45.05          & op2(e21, e22) = e22) | (v2 = e22 & op2(e20, e22) = e22)) & ((v20 = e21
% 232.52/45.05          & op2(e24, e22) = e21) | (v19 = e21 & op2(e23, e22) = e21) | (v16 = e21
% 232.52/45.05          & op2(e22, e22) = e21) | (v10 = e21 & op2(e21, e22) = e21) | (v2 = e21 &
% 232.52/45.05          op2(e20, e22) = e21)) & ((v20 = e20 & op2(e24, e22) = e20) | (v19 = e20
% 232.52/45.05          & op2(e23, e22) = e20) | (v16 = e20 & op2(e22, e22) = e20) | (v10 = e20
% 232.52/45.05          & op2(e21, e22) = e20) | (v2 = e20 & op2(e20, e22) = e20)) & ((v18 = e24
% 232.52/45.05          & op2(e22, e24) = e24) | (v17 = e24 & op2(e22, e23) = e24) | (v16 = e24
% 232.52/45.05          & op2(e22, e22) = e24) | (v13 = e24 & op2(e22, e21) = e24) | (v6 = e24 &
% 232.52/45.05          op2(e22, e20) = e24)) & ((v18 = e23 & op2(e22, e24) = e23) | (v17 = e23
% 232.52/45.05          & op2(e22, e23) = e23) | (v16 = e23 & op2(e22, e22) = e23) | (v13 = e23
% 232.52/45.05          & op2(e22, e21) = e23) | (v6 = e23 & op2(e22, e20) = e23)) & ((v18 = e22
% 232.52/45.05          & op2(e22, e24) = e22) | (v17 = e22 & op2(e22, e23) = e22) | (v16 = e22
% 232.52/45.05          & op2(e22, e22) = e22) | (v13 = e22 & op2(e22, e21) = e22) | (v6 = e22 &
% 232.52/45.05          op2(e22, e20) = e22)) & ((v18 = e21 & op2(e22, e24) = e21) | (v17 = e21
% 232.52/45.05          & op2(e22, e23) = e21) | (v16 = e21 & op2(e22, e22) = e21) | (v13 = e21
% 232.52/45.05          & op2(e22, e21) = e21) | (v6 = e21 & op2(e22, e20) = e21)) & ((v18 = e20
% 232.52/45.05          & op2(e22, e24) = e20) | (v17 = e20 & op2(e22, e23) = e20) | (v16 = e20
% 232.52/45.05          & op2(e22, e22) = e20) | (v13 = e20 & op2(e22, e21) = e20) | (v6 = e20 &
% 232.52/45.05          op2(e22, e20) = e20)) & ((v15 = e24 & op2(e24, e21) = e24) | (v14 = e24
% 232.52/45.05          & op2(e23, e21) = e24) | (v13 = e24 & op2(e22, e21) = e24) | (v9 = e24 &
% 232.52/45.05          op2(e21, e21) = e24) | (v1 = e24 & op2(e20, e21) = e24)) & ((v15 = e23 &
% 232.52/45.05          op2(e24, e21) = e23) | (v14 = e23 & op2(e23, e21) = e23) | (v13 = e23 &
% 232.52/45.05          op2(e22, e21) = e23) | (v9 = e23 & op2(e21, e21) = e23) | (v1 = e23 &
% 232.52/45.05          op2(e20, e21) = e23)) & ((v15 = e22 & op2(e24, e21) = e22) | (v14 = e22
% 232.52/45.05          & op2(e23, e21) = e22) | (v13 = e22 & op2(e22, e21) = e22) | (v9 = e22 &
% 232.52/45.05          op2(e21, e21) = e22) | (v1 = e22 & op2(e20, e21) = e22)) & ((v15 = e21 &
% 232.52/45.05          op2(e24, e21) = e21) | (v14 = e21 & op2(e23, e21) = e21) | (v13 = e21 &
% 232.52/45.05          op2(e22, e21) = e21) | (v9 = e21 & op2(e21, e21) = e21) | (v1 = e21 &
% 232.52/45.05          op2(e20, e21) = e21)) & ((v15 = e20 & op2(e24, e21) = e20) | (v14 = e20
% 232.52/45.05          & op2(e23, e21) = e20) | (v13 = e20 & op2(e22, e21) = e20) | (v9 = e20 &
% 232.52/45.05          op2(e21, e21) = e20) | (v1 = e20 & op2(e20, e21) = e20)) & ((v12 = e24 &
% 232.52/45.05          op2(e21, e24) = e24) | (v11 = e24 & op2(e21, e23) = e24) | (v10 = e24 &
% 232.52/45.05          op2(e21, e22) = e24) | (v9 = e24 & op2(e21, e21) = e24) | (v5 = e24 &
% 232.52/45.05          op2(e21, e20) = e24)) & ((v12 = e23 & op2(e21, e24) = e23) | (v11 = e23
% 232.52/45.05          & op2(e21, e23) = e23) | (v10 = e23 & op2(e21, e22) = e23) | (v9 = e23 &
% 232.52/45.05          op2(e21, e21) = e23) | (v5 = e23 & op2(e21, e20) = e23)) & ((v12 = e22 &
% 232.52/45.05          op2(e21, e24) = e22) | (v11 = e22 & op2(e21, e23) = e22) | (v10 = e22 &
% 232.52/45.05          op2(e21, e22) = e22) | (v9 = e22 & op2(e21, e21) = e22) | (v5 = e22 &
% 232.52/45.05          op2(e21, e20) = e22)) & ((v12 = e21 & op2(e21, e24) = e21) | (v11 = e21
% 232.52/45.05          & op2(e21, e23) = e21) | (v10 = e21 & op2(e21, e22) = e21) | (v9 = e21 &
% 232.52/45.05          op2(e21, e21) = e21) | (v5 = e21 & op2(e21, e20) = e21)) & ((v12 = e20 &
% 232.52/45.05          op2(e21, e24) = e20) | (v11 = e20 & op2(e21, e23) = e20) | (v10 = e20 &
% 232.52/45.05          op2(e21, e22) = e20) | (v9 = e20 & op2(e21, e21) = e20) | (v5 = e20 &
% 232.52/45.05          op2(e21, e20) = e20)) & ((v8 = e24 & op2(e24, e20) = e24) | (v7 = e24 &
% 232.52/45.05          op2(e23, e20) = e24) | (v6 = e24 & op2(e22, e20) = e24) | (v5 = e24 &
% 232.52/45.05          op2(e21, e20) = e24) | (v0 = e24 & op2(e20, e20) = e24)) & ((v8 = e23 &
% 232.52/45.05          op2(e24, e20) = e23) | (v7 = e23 & op2(e23, e20) = e23) | (v6 = e23 &
% 232.52/45.05          op2(e22, e20) = e23) | (v5 = e23 & op2(e21, e20) = e23) | (v0 = e23 &
% 232.52/45.05          op2(e20, e20) = e23)) & ((v8 = e22 & op2(e24, e20) = e22) | (v7 = e22 &
% 232.52/45.05          op2(e23, e20) = e22) | (v6 = e22 & op2(e22, e20) = e22) | (v5 = e22 &
% 232.52/45.05          op2(e21, e20) = e22) | (v0 = e22 & op2(e20, e20) = e22)) & ((v8 = e21 &
% 232.52/45.05          op2(e24, e20) = e21) | (v7 = e21 & op2(e23, e20) = e21) | (v6 = e21 &
% 232.52/45.05          op2(e22, e20) = e21) | (v5 = e21 & op2(e21, e20) = e21) | (v0 = e21 &
% 232.52/45.05          op2(e20, e20) = e21)) & ((v4 = e24 & op2(e20, e24) = e24) | (v3 = e24 &
% 232.52/45.05          op2(e20, e23) = e24) | (v2 = e24 & op2(e20, e22) = e24) | (v1 = e24 &
% 232.52/45.05          op2(e20, e21) = e24) | (v0 = e24 & op2(e20, e20) = e24)) & ((v4 = e23 &
% 232.52/45.05          op2(e20, e24) = e23) | (v3 = e23 & op2(e20, e23) = e23) | (v2 = e23 &
% 232.52/45.05          op2(e20, e22) = e23) | (v1 = e23 & op2(e20, e21) = e23) | (v0 = e23 &
% 232.52/45.05          op2(e20, e20) = e23)) & ((v4 = e22 & op2(e20, e24) = e22) | (v3 = e22 &
% 232.52/45.05          op2(e20, e23) = e22) | (v2 = e22 & op2(e20, e22) = e22) | (v1 = e22 &
% 232.52/45.05          op2(e20, e21) = e22) | (v0 = e22 & op2(e20, e20) = e22)) & ((v4 = e21 &
% 232.52/45.05          op2(e20, e24) = e21) | (v3 = e21 & op2(e20, e23) = e21) | (v2 = e21 &
% 232.52/45.05          op2(e20, e22) = e21) | (v1 = e21 & op2(e20, e21) = e21) | (v0 = e21 &
% 232.52/45.05          op2(e20, e20) = e21)) & ((v0 = e20 & op2(e20, e20) = e20) | (((v8 = e20
% 232.52/45.05              & op2(e24, e20) = e20) | (v7 = e20 & op2(e23, e20) = e20) | (v6 =
% 232.52/45.05              e20 & op2(e22, e20) = e20) | (v5 = e20 & op2(e21, e20) = e20)) &
% 232.52/45.06          ((v4 = e20 & op2(e20, e24) = e20) | (v3 = e20 & op2(e20, e23) = e20) |
% 232.52/45.06            (v2 = e20 & op2(e20, e22) = e20) | (v1 = e20 & op2(e20, e21) =
% 232.52/45.06              e20)))))
% 232.52/45.06  
% 232.52/45.06    (ax7)
% 232.52/45.06    $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.52/45.06    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.52/45.06      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.52/45.06    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.52/45.06    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.52/45.06    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 232.52/45.06       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 232.52/45.06        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 232.52/45.06      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 232.52/45.06        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 232.52/45.06      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 232.52/45.06        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 232.52/45.06      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 232.52/45.06        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 232.52/45.06      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 232.52/45.06        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 232.52/45.06      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 232.52/45.06        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 232.52/45.06      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 232.52/45.06        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 232.52/45.06      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 232.52/45.06        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 232.52/45.06      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 232.52/45.06      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 232.52/45.06      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 232.52/45.06      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 232.52/45.06      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 232.52/45.06      op1(e14, e14) = v24 & op1(e14, e13) = v19 & op1(e14, e12) = v14 & op1(e14,
% 232.52/45.06        e11) = v9 & op1(e14, e10) = v4 & op1(e13, e14) = v23 & op1(e13, e13) = v18
% 232.52/45.06      & op1(e13, e12) = v13 & op1(e13, e11) = v8 & op1(e13, e10) = v3 & op1(e12,
% 232.52/45.06        e14) = v22 & op1(e12, e13) = v17 & op1(e12, e12) = v12 & op1(e12, e11) =
% 232.52/45.06      v7 & op1(e12, e10) = v2 & op1(e11, e14) = v21 & op1(e11, e13) = v16 &
% 232.52/45.06      op1(e11, e12) = v11 & op1(e11, e11) = v6 & op1(e11, e10) = v1 & op1(e10,
% 232.52/45.06        e14) = v20 & op1(e10, e13) = v15 & op1(e10, e12) = v10 & op1(e10, e11) =
% 232.52/45.06      v5 & op1(e10, e10) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 232.52/45.06      $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 232.52/45.06      $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 232.52/45.06      $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.52/45.06  
% 232.52/45.06    (ax8)
% 232.52/45.07    $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20) &  ? [v0: $i] :  ? [v1: $i] : 
% 232.52/45.07    ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7:
% 232.52/45.07      $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i]
% 232.52/45.07    :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : 
% 232.52/45.07    ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 232.52/45.07    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 232.52/45.07       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 232.52/45.07        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 232.52/45.07      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 232.52/45.07        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 232.52/45.07      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 232.52/45.07        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 232.52/45.07      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 232.52/45.07        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 232.52/45.07      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 232.52/45.07        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 232.52/45.07      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 232.52/45.07        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 232.52/45.07      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 232.52/45.07        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 232.52/45.07      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 232.52/45.07        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 232.52/45.07      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 232.52/45.07      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 232.52/45.07      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 232.52/45.07      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 232.52/45.07      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 232.52/45.07      op2(e24, e24) = v24 & op2(e24, e23) = v19 & op2(e24, e22) = v14 & op2(e24,
% 232.52/45.07        e21) = v9 & op2(e24, e20) = v4 & op2(e23, e24) = v23 & op2(e23, e23) = v18
% 232.52/45.07      & op2(e23, e22) = v13 & op2(e23, e21) = v8 & op2(e23, e20) = v3 & op2(e22,
% 232.52/45.07        e24) = v22 & op2(e22, e23) = v17 & op2(e22, e22) = v12 & op2(e22, e21) =
% 232.52/45.07      v7 & op2(e22, e20) = v2 & op2(e21, e24) = v21 & op2(e21, e23) = v16 &
% 232.52/45.07      op2(e21, e22) = v11 & op2(e21, e21) = v6 & op2(e21, e20) = v1 & op2(e20,
% 232.52/45.07        e24) = v20 & op2(e20, e23) = v15 & op2(e20, e22) = v10 & op2(e20, e21) =
% 232.52/45.07      v5 & op2(e20, e20) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 232.52/45.07      $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 232.52/45.07      $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 232.52/45.07      $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 232.52/45.07  
% 232.52/45.07    (ax9)
% 232.52/45.07     ~ (e14 = e13) &  ~ (e14 = e12) &  ~ (e14 = e11) &  ~ (e14 = e10) &  ~ (e13 =
% 232.52/45.07      e12) &  ~ (e13 = e11) &  ~ (e13 = e10) &  ~ (e12 = e11) &  ~ (e12 = e10) & 
% 232.52/45.07    ~ (e11 = e10) & $i(e14) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 232.52/45.07  
% 232.52/45.07    (co1)
% 232.75/45.14    $i(e24) & $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e14) & $i(e13) & $i(e12)
% 232.75/45.14    & $i(e11) & $i(e10) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : 
% 232.75/45.14    ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9:
% 232.75/45.14      $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 232.75/45.14      $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 232.75/45.14      $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ? [v24:
% 232.75/45.14      $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28: $i] :  ? [v29:
% 232.75/45.14      $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ? [v33: $i] :  ? [v34:
% 232.75/45.14      $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i] :  ? [v38: $i] :  ? [v39:
% 232.75/45.14      $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42: $i] :  ? [v43: $i] :  ? [v44:
% 232.75/45.14      $i] :  ? [v45: $i] :  ? [v46: $i] :  ? [v47: $i] :  ? [v48: $i] :  ? [v49:
% 232.75/45.14      $i] :  ? [v50: $i] :  ? [v51: $i] :  ? [v52: $i] :  ? [v53: $i] :  ? [v54:
% 232.75/45.14      $i] :  ? [v55: $i] :  ? [v56: $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59:
% 232.75/45.14      $i] :  ? [v60: $i] :  ? [v61: $i] :  ? [v62: $i] :  ? [v63: $i] :  ? [v64:
% 232.75/45.14      $i] :  ? [v65: $i] :  ? [v66: $i] :  ? [v67: $i] :  ? [v68: $i] :  ? [v69:
% 232.75/45.14      $i] :  ? [v70: $i] :  ? [v71: $i] :  ? [v72: $i] :  ? [v73: $i] :  ? [v74:
% 232.75/45.14      $i] :  ? [v75: $i] :  ? [v76: $i] :  ? [v77: $i] :  ? [v78: $i] :  ? [v79:
% 232.75/45.14      $i] :  ? [v80: $i] :  ? [v81: $i] :  ? [v82: $i] :  ? [v83: $i] :  ? [v84:
% 232.75/45.14      $i] :  ? [v85: $i] :  ? [v86: $i] :  ? [v87: $i] :  ? [v88: $i] :  ? [v89:
% 232.75/45.14      $i] :  ? [v90: $i] :  ? [v91: $i] :  ? [v92: $i] :  ? [v93: $i] :  ? [v94:
% 232.75/45.14      $i] :  ? [v95: $i] :  ? [v96: $i] :  ? [v97: $i] :  ? [v98: $i] :  ? [v99:
% 232.75/45.14      $i] :  ? [v100: $i] :  ? [v101: $i] :  ? [v102: $i] :  ? [v103: $i] :  ?
% 232.75/45.14    [v104: $i] :  ? [v105: $i] :  ? [v106: $i] :  ? [v107: $i] :  ? [v108: $i] : 
% 232.75/45.14    ? [v109: $i] :  ? [v110: $i] :  ? [v111: $i] :  ? [v112: $i] :  ? [v113: $i] :
% 232.75/45.14     ? [v114: $i] :  ? [v115: $i] :  ? [v116: $i] :  ? [v117: $i] :  ? [v118: $i]
% 232.75/45.14    :  ? [v119: $i] :  ? [v120: $i] :  ? [v121: $i] :  ? [v122: $i] :  ? [v123:
% 232.75/45.14      $i] :  ? [v124: $i] :  ? [v125: $i] :  ? [v126: $i] :  ? [v127: $i] :  ?
% 232.75/45.14    [v128: $i] :  ? [v129: $i] :  ? [v130: $i] :  ? [v131: $i] :  ? [v132: $i] : 
% 232.75/45.14    ? [v133: $i] :  ? [v134: $i] :  ? [v135: $i] :  ? [v136: $i] :  ? [v137: $i] :
% 232.75/45.14     ? [v138: $i] :  ? [v139: $i] :  ? [v140: $i] :  ? [v141: $i] :  ? [v142: $i]
% 232.75/45.14    :  ? [v143: $i] :  ? [v144: $i] :  ? [v145: $i] :  ? [v146: $i] :  ? [v147:
% 232.75/45.14      $i] :  ? [v148: $i] :  ? [v149: $i] :  ? [v150: $i] :  ? [v151: $i] :  ?
% 232.75/45.14    [v152: $i] :  ? [v153: $i] :  ? [v154: $i] :  ? [v155: $i] :  ? [v156: $i] : 
% 232.75/45.14    ? [v157: $i] :  ? [v158: $i] :  ? [v159: $i] :  ? [v160: $i] :  ? [v161: $i] :
% 232.75/45.14     ? [v162: $i] :  ? [v163: $i] :  ? [v164: $i] :  ? [v165: $i] :  ? [v166: $i]
% 232.75/45.14    :  ? [v167: $i] :  ? [v168: $i] :  ? [v169: $i] :  ? [v170: $i] :  ? [v171:
% 232.75/45.14      $i] :  ? [v172: $i] :  ? [v173: $i] :  ? [v174: $i] :  ? [v175: $i] :  ?
% 232.75/45.14    [v176: $i] :  ? [v177: $i] :  ? [v178: $i] :  ? [v179: $i] :  ? [v180: $i] : 
% 232.75/45.14    ? [v181: $i] :  ? [v182: $i] :  ? [v183: $i] :  ? [v184: $i] :  ? [v185: $i] :
% 232.75/45.14     ? [v186: $i] :  ? [v187: $i] :  ? [v188: $i] :  ? [v189: $i] :  ? [v190: $i]
% 232.75/45.14    :  ? [v191: $i] :  ? [v192: $i] :  ? [v193: $i] :  ? [v194: $i] :  ? [v195:
% 232.75/45.14      $i] :  ? [v196: $i] :  ? [v197: $i] :  ? [v198: $i] :  ? [v199: $i] :  ?
% 232.75/45.14    [v200: $i] :  ? [v201: $i] :  ? [v202: $i] :  ? [v203: $i] :  ? [v204: $i] : 
% 232.75/45.14    ? [v205: $i] :  ? [v206: $i] :  ? [v207: $i] :  ? [v208: $i] :  ? [v209: $i] :
% 232.75/45.14     ? [v210: $i] :  ? [v211: $i] :  ? [v212: $i] :  ? [v213: $i] :  ? [v214: $i]
% 232.75/45.14    :  ? [v215: $i] :  ? [v216: $i] :  ? [v217: $i] :  ? [v218: $i] :  ? [v219:
% 232.75/45.14      $i] :  ? [v220: $i] :  ? [v221: $i] :  ? [v222: $i] :  ? [v223: $i] :  ?
% 232.75/45.14    [v224: $i] :  ? [v225: $i] :  ? [v226: $i] :  ? [v227: $i] :  ? [v228: $i] : 
% 232.75/45.14    ? [v229: $i] :  ? [v230: $i] :  ? [v231: $i] :  ? [v232: $i] :  ? [v233: $i] :
% 232.75/45.14     ? [v234: $i] :  ? [v235: $i] :  ? [v236: $i] :  ? [v237: $i] :  ? [v238: $i]
% 232.75/45.14    :  ? [v239: $i] :  ? [v240: $i] :  ? [v241: $i] :  ? [v242: $i] :  ? [v243:
% 232.75/45.14      $i] :  ? [v244: $i] :  ? [v245: $i] :  ? [v246: $i] :  ? [v247: $i] :  ?
% 232.75/45.14    [v248: $i] :  ? [v249: $i] :  ? [v250: $i] :  ? [v251: $i] :  ? [v252: $i] : 
% 232.75/45.14    ? [v253: $i] :  ? [v254: $i] :  ? [v255: $i] :  ? [v256: $i] :  ? [v257: $i] :
% 232.75/45.14     ? [v258: $i] :  ? [v259: $i] :  ? [v260: $i] :  ? [v261: $i] :  ? [v262: $i]
% 232.75/45.14    :  ? [v263: $i] :  ? [v264: $i] :  ? [v265: $i] :  ? [v266: $i] :  ? [v267:
% 232.75/45.14      $i] :  ? [v268: $i] :  ? [v269: $i] :  ? [v270: $i] :  ? [v271: $i] :  ?
% 232.75/45.14    [v272: $i] :  ? [v273: $i] :  ? [v274: $i] :  ? [v275: $i] :  ? [v276: $i] : 
% 232.75/45.14    ? [v277: $i] :  ? [v278: $i] :  ? [v279: $i] :  ? [v280: $i] :  ? [v281: $i] :
% 232.75/45.14     ? [v282: $i] :  ? [v283: $i] :  ? [v284: $i] :  ? [v285: $i] :  ? [v286: $i]
% 232.75/45.14    :  ? [v287: $i] :  ? [v288: $i] :  ? [v289: $i] :  ? [v290: $i] :  ? [v291:
% 232.75/45.14      $i] :  ? [v292: $i] :  ? [v293: $i] :  ? [v294: $i] :  ? [v295: $i] :  ?
% 232.75/45.14    [v296: $i] :  ? [v297: $i] :  ? [v298: $i] :  ? [v299: $i] : ((( ~ (v299 =
% 232.75/45.14            v298) & h5(v77) = v298 & h5(e14) = v258 & op2(v258, v258) = v299 &
% 232.75/45.14          op1(e14, e14) = v77 & $i(v299) & $i(v298) & $i(v258) & $i(v77)) | ( ~
% 232.75/45.14          (v297 = v296) & h5(v74) = v296 & h5(e14) = v258 & h5(e13) = v255 &
% 232.75/45.14          op2(v258, v255) = v297 & op1(e14, e13) = v74 & $i(v297) & $i(v296) &
% 232.75/45.14          $i(v258) & $i(v255) & $i(v74)) | ( ~ (v295 = v294) & h5(v71) = v294 &
% 232.75/45.14          h5(e14) = v258 & h5(e12) = v252 & op2(v258, v252) = v295 & op1(e14, e12)
% 232.75/45.14          = v71 & $i(v295) & $i(v294) & $i(v258) & $i(v252) & $i(v71)) | ( ~ (v293
% 232.75/45.14            = v292) & h5(v68) = v292 & h5(e14) = v258 & h5(e11) = v249 & op2(v258,
% 232.75/45.14            v249) = v293 & op1(e14, e11) = v68 & $i(v293) & $i(v292) & $i(v258) &
% 232.75/45.14          $i(v249) & $i(v68)) | ( ~ (v291 = v290) & h5(v65) = v290 & h5(e14) =
% 232.75/45.14          v258 & h5(e10) = v246 & op2(v258, v246) = v291 & op1(e14, e10) = v65 &
% 232.75/45.14          $i(v291) & $i(v290) & $i(v258) & $i(v246) & $i(v65)) | ( ~ (v289 = v288)
% 232.75/45.14          & h5(v62) = v288 & h5(e14) = v258 & h5(e13) = v255 & op2(v255, v258) =
% 232.75/45.14          v289 & op1(e13, e14) = v62 & $i(v289) & $i(v288) & $i(v258) & $i(v255) &
% 232.75/45.14          $i(v62)) | ( ~ (v287 = v286) & h5(v59) = v286 & h5(e13) = v255 &
% 232.75/45.14          op2(v255, v255) = v287 & op1(e13, e13) = v59 & $i(v287) & $i(v286) &
% 232.75/45.14          $i(v255) & $i(v59)) | ( ~ (v285 = v284) & h5(v56) = v284 & h5(e13) =
% 232.75/45.14          v255 & h5(e12) = v252 & op2(v255, v252) = v285 & op1(e13, e12) = v56 &
% 232.75/45.14          $i(v285) & $i(v284) & $i(v255) & $i(v252) & $i(v56)) | ( ~ (v283 = v282)
% 232.75/45.14          & h5(v53) = v282 & h5(e13) = v255 & h5(e11) = v249 & op2(v255, v249) =
% 232.75/45.14          v283 & op1(e13, e11) = v53 & $i(v283) & $i(v282) & $i(v255) & $i(v249) &
% 232.75/45.14          $i(v53)) | ( ~ (v281 = v280) & h5(v50) = v280 & h5(e13) = v255 & h5(e10)
% 232.75/45.14          = v246 & op2(v255, v246) = v281 & op1(e13, e10) = v50 & $i(v281) &
% 232.75/45.14          $i(v280) & $i(v255) & $i(v246) & $i(v50)) | ( ~ (v279 = v278) & h5(v47)
% 232.75/45.14          = v278 & h5(e14) = v258 & h5(e12) = v252 & op2(v252, v258) = v279 &
% 232.75/45.14          op1(e12, e14) = v47 & $i(v279) & $i(v278) & $i(v258) & $i(v252) &
% 232.75/45.14          $i(v47)) | ( ~ (v277 = v276) & h5(v44) = v276 & h5(e13) = v255 & h5(e12)
% 232.75/45.14          = v252 & op2(v252, v255) = v277 & op1(e12, e13) = v44 & $i(v277) &
% 232.75/45.14          $i(v276) & $i(v255) & $i(v252) & $i(v44)) | ( ~ (v275 = v274) & h5(v41)
% 232.75/45.14          = v274 & h5(e12) = v252 & op2(v252, v252) = v275 & op1(e12, e12) = v41 &
% 232.75/45.14          $i(v275) & $i(v274) & $i(v252) & $i(v41)) | ( ~ (v273 = v272) & h5(v38)
% 232.75/45.14          = v272 & h5(e12) = v252 & h5(e11) = v249 & op2(v252, v249) = v273 &
% 232.75/45.14          op1(e12, e11) = v38 & $i(v273) & $i(v272) & $i(v252) & $i(v249) &
% 232.75/45.14          $i(v38)) | ( ~ (v271 = v270) & h5(v35) = v270 & h5(e12) = v252 & h5(e10)
% 232.75/45.14          = v246 & op2(v252, v246) = v271 & op1(e12, e10) = v35 & $i(v271) &
% 232.75/45.14          $i(v270) & $i(v252) & $i(v246) & $i(v35)) | ( ~ (v269 = v268) & h5(v32)
% 232.75/45.14          = v268 & h5(e14) = v258 & h5(e11) = v249 & op2(v249, v258) = v269 &
% 232.75/45.14          op1(e11, e14) = v32 & $i(v269) & $i(v268) & $i(v258) & $i(v249) &
% 232.75/45.14          $i(v32)) | ( ~ (v267 = v266) & h5(v29) = v266 & h5(e13) = v255 & h5(e11)
% 232.75/45.14          = v249 & op2(v249, v255) = v267 & op1(e11, e13) = v29 & $i(v267) &
% 232.75/45.14          $i(v266) & $i(v255) & $i(v249) & $i(v29)) | ( ~ (v265 = v264) & h5(v26)
% 232.75/45.14          = v264 & h5(e12) = v252 & h5(e11) = v249 & op2(v249, v252) = v265 &
% 232.75/45.14          op1(e11, e12) = v26 & $i(v265) & $i(v264) & $i(v252) & $i(v249) &
% 232.75/45.14          $i(v26)) | ( ~ (v263 = v262) & h5(v23) = v262 & h5(e11) = v249 &
% 232.75/45.14          op2(v249, v249) = v263 & op1(e11, e11) = v23 & $i(v263) & $i(v262) &
% 232.75/45.14          $i(v249) & $i(v23)) | ( ~ (v258 = e24) &  ~ (v255 = e24) &  ~ (v252 =
% 232.75/45.14            e24) &  ~ (v249 = e24) &  ~ (v246 = e24) & h5(e14) = v258 & h5(e13) =
% 232.75/45.14          v255 & h5(e12) = v252 & h5(e11) = v249 & h5(e10) = v246 & $i(v258) &
% 232.75/45.14          $i(v255) & $i(v252) & $i(v249) & $i(v246)) | ( ~ (v258 = e23) &  ~ (v255
% 232.75/45.14            = e23) &  ~ (v252 = e23) &  ~ (v249 = e23) &  ~ (v246 = e23) & h5(e14)
% 232.75/45.14          = v258 & h5(e13) = v255 & h5(e12) = v252 & h5(e11) = v249 & h5(e10) =
% 232.75/45.14          v246 & $i(v258) & $i(v255) & $i(v252) & $i(v249) & $i(v246)) | ( ~ (v258
% 232.75/45.14            = e22) &  ~ (v255 = e22) &  ~ (v252 = e22) &  ~ (v249 = e22) &  ~
% 232.75/45.14          (v246 = e22) & h5(e14) = v258 & h5(e13) = v255 & h5(e12) = v252 &
% 232.75/45.14          h5(e11) = v249 & h5(e10) = v246 & $i(v258) & $i(v255) & $i(v252) &
% 232.75/45.14          $i(v249) & $i(v246)) | ( ~ (v258 = e21) &  ~ (v255 = e21) &  ~ (v252 =
% 232.75/45.14            e21) &  ~ (v249 = e21) &  ~ (v246 = e21) & h5(e14) = v258 & h5(e13) =
% 232.75/45.14          v255 & h5(e12) = v252 & h5(e11) = v249 & h5(e10) = v246 & $i(v258) &
% 232.75/45.14          $i(v255) & $i(v252) & $i(v249) & $i(v246)) | ( ~ (v258 = e20) &  ~ (v255
% 232.75/45.14            = e20) &  ~ (v252 = e20) &  ~ (v249 = e20) &  ~ (v246 = e20) & h5(e14)
% 232.75/45.14          = v258 & h5(e13) = v255 & h5(e12) = v252 & h5(e11) = v249 & h5(e10) =
% 232.75/45.14          v246 & $i(v258) & $i(v255) & $i(v252) & $i(v249) & $i(v246)) | (h5(e10)
% 232.75/45.14          = v246 & $i(v246) & (( ~ (v261 = v260) & h5(v20) = v260 & h5(e11) = v249
% 232.75/45.14              & op2(v249, v246) = v261 & op1(e11, e10) = v20 & $i(v261) & $i(v260)
% 232.75/45.14              & $i(v249) & $i(v20)) | ( ~ (v259 = v257) & h5(v16) = v257 & h5(e14)
% 232.75/45.14              = v258 & op2(v246, v258) = v259 & op1(e10, e14) = v16 & $i(v259) &
% 232.75/45.14              $i(v258) & $i(v257) & $i(v16)) | ( ~ (v256 = v254) & h5(v12) = v254
% 232.75/45.14              & h5(e13) = v255 & op2(v246, v255) = v256 & op1(e10, e13) = v12 &
% 232.75/45.14              $i(v256) & $i(v255) & $i(v254) & $i(v12)) | ( ~ (v253 = v251) &
% 232.75/45.14              h5(v8) = v251 & h5(e12) = v252 & op2(v246, v252) = v253 & op1(e10,
% 232.75/45.14                e12) = v8 & $i(v253) & $i(v252) & $i(v251) & $i(v8)) | ( ~ (v250 =
% 232.75/45.14                v248) & h5(v4) = v248 & h5(e11) = v249 & op2(v246, v249) = v250 &
% 232.75/45.14              op1(e10, e11) = v4 & $i(v250) & $i(v249) & $i(v248) & $i(v4)) | ( ~
% 232.75/45.14              (v247 = v245) & h5(v0) = v245 & op2(v246, v246) = v247 & op1(e10,
% 232.75/45.14                e10) = v0 & $i(v247) & $i(v245) & $i(v0))))) & (( ~ (v244 = v243)
% 232.75/45.14          & h4(v77) = v243 & h4(e14) = v203 & op2(v203, v203) = v244 & op1(e14,
% 232.75/45.14            e14) = v77 & $i(v244) & $i(v243) & $i(v203) & $i(v77)) | ( ~ (v242 =
% 232.75/45.14            v241) & h4(v74) = v241 & h4(e14) = v203 & h4(e13) = v200 & op2(v203,
% 232.75/45.14            v200) = v242 & op1(e14, e13) = v74 & $i(v242) & $i(v241) & $i(v203) &
% 232.75/45.14          $i(v200) & $i(v74)) | ( ~ (v240 = v239) & h4(v71) = v239 & h4(e14) =
% 232.75/45.14          v203 & h4(e12) = v197 & op2(v203, v197) = v240 & op1(e14, e12) = v71 &
% 232.75/45.14          $i(v240) & $i(v239) & $i(v203) & $i(v197) & $i(v71)) | ( ~ (v238 = v237)
% 232.75/45.14          & h4(v68) = v237 & h4(e14) = v203 & h4(e11) = v194 & op2(v203, v194) =
% 232.75/45.14          v238 & op1(e14, e11) = v68 & $i(v238) & $i(v237) & $i(v203) & $i(v194) &
% 232.75/45.14          $i(v68)) | ( ~ (v236 = v235) & h4(v65) = v235 & h4(e14) = v203 & h4(e10)
% 232.75/45.14          = v191 & op2(v203, v191) = v236 & op1(e14, e10) = v65 & $i(v236) &
% 232.75/45.14          $i(v235) & $i(v203) & $i(v191) & $i(v65)) | ( ~ (v234 = v233) & h4(v62)
% 232.75/45.14          = v233 & h4(e14) = v203 & h4(e13) = v200 & op2(v200, v203) = v234 &
% 232.75/45.14          op1(e13, e14) = v62 & $i(v234) & $i(v233) & $i(v203) & $i(v200) &
% 232.75/45.14          $i(v62)) | ( ~ (v232 = v231) & h4(v59) = v231 & h4(e13) = v200 &
% 232.75/45.14          op2(v200, v200) = v232 & op1(e13, e13) = v59 & $i(v232) & $i(v231) &
% 232.75/45.14          $i(v200) & $i(v59)) | ( ~ (v230 = v229) & h4(v56) = v229 & h4(e13) =
% 232.75/45.14          v200 & h4(e12) = v197 & op2(v200, v197) = v230 & op1(e13, e12) = v56 &
% 232.75/45.14          $i(v230) & $i(v229) & $i(v200) & $i(v197) & $i(v56)) | ( ~ (v228 = v227)
% 232.75/45.14          & h4(v53) = v227 & h4(e13) = v200 & h4(e11) = v194 & op2(v200, v194) =
% 232.75/45.14          v228 & op1(e13, e11) = v53 & $i(v228) & $i(v227) & $i(v200) & $i(v194) &
% 232.75/45.14          $i(v53)) | ( ~ (v226 = v225) & h4(v50) = v225 & h4(e13) = v200 & h4(e10)
% 232.75/45.14          = v191 & op2(v200, v191) = v226 & op1(e13, e10) = v50 & $i(v226) &
% 232.75/45.14          $i(v225) & $i(v200) & $i(v191) & $i(v50)) | ( ~ (v224 = v223) & h4(v47)
% 232.75/45.14          = v223 & h4(e14) = v203 & h4(e12) = v197 & op2(v197, v203) = v224 &
% 232.75/45.14          op1(e12, e14) = v47 & $i(v224) & $i(v223) & $i(v203) & $i(v197) &
% 232.75/45.14          $i(v47)) | ( ~ (v222 = v221) & h4(v44) = v221 & h4(e13) = v200 & h4(e12)
% 232.75/45.14          = v197 & op2(v197, v200) = v222 & op1(e12, e13) = v44 & $i(v222) &
% 232.75/45.14          $i(v221) & $i(v200) & $i(v197) & $i(v44)) | ( ~ (v220 = v219) & h4(v41)
% 232.75/45.14          = v219 & h4(e12) = v197 & op2(v197, v197) = v220 & op1(e12, e12) = v41 &
% 232.75/45.14          $i(v220) & $i(v219) & $i(v197) & $i(v41)) | ( ~ (v218 = v217) & h4(v38)
% 232.75/45.14          = v217 & h4(e12) = v197 & h4(e11) = v194 & op2(v197, v194) = v218 &
% 232.75/45.14          op1(e12, e11) = v38 & $i(v218) & $i(v217) & $i(v197) & $i(v194) &
% 232.75/45.14          $i(v38)) | ( ~ (v216 = v215) & h4(v35) = v215 & h4(e12) = v197 & h4(e10)
% 232.75/45.14          = v191 & op2(v197, v191) = v216 & op1(e12, e10) = v35 & $i(v216) &
% 232.75/45.14          $i(v215) & $i(v197) & $i(v191) & $i(v35)) | ( ~ (v214 = v213) & h4(v32)
% 232.75/45.14          = v213 & h4(e14) = v203 & h4(e11) = v194 & op2(v194, v203) = v214 &
% 232.75/45.14          op1(e11, e14) = v32 & $i(v214) & $i(v213) & $i(v203) & $i(v194) &
% 232.75/45.14          $i(v32)) | ( ~ (v212 = v211) & h4(v29) = v211 & h4(e13) = v200 & h4(e11)
% 232.75/45.14          = v194 & op2(v194, v200) = v212 & op1(e11, e13) = v29 & $i(v212) &
% 232.75/45.14          $i(v211) & $i(v200) & $i(v194) & $i(v29)) | ( ~ (v210 = v209) & h4(v26)
% 232.75/45.14          = v209 & h4(e12) = v197 & h4(e11) = v194 & op2(v194, v197) = v210 &
% 232.75/45.14          op1(e11, e12) = v26 & $i(v210) & $i(v209) & $i(v197) & $i(v194) &
% 232.75/45.14          $i(v26)) | ( ~ (v208 = v207) & h4(v23) = v207 & h4(e11) = v194 &
% 232.75/45.14          op2(v194, v194) = v208 & op1(e11, e11) = v23 & $i(v208) & $i(v207) &
% 232.75/45.14          $i(v194) & $i(v23)) | ( ~ (v203 = e24) &  ~ (v200 = e24) &  ~ (v197 =
% 232.75/45.14            e24) &  ~ (v194 = e24) &  ~ (v191 = e24) & h4(e14) = v203 & h4(e13) =
% 232.75/45.14          v200 & h4(e12) = v197 & h4(e11) = v194 & h4(e10) = v191 & $i(v203) &
% 232.75/45.14          $i(v200) & $i(v197) & $i(v194) & $i(v191)) | ( ~ (v203 = e23) &  ~ (v200
% 232.75/45.14            = e23) &  ~ (v197 = e23) &  ~ (v194 = e23) &  ~ (v191 = e23) & h4(e14)
% 232.75/45.14          = v203 & h4(e13) = v200 & h4(e12) = v197 & h4(e11) = v194 & h4(e10) =
% 232.75/45.14          v191 & $i(v203) & $i(v200) & $i(v197) & $i(v194) & $i(v191)) | ( ~ (v203
% 232.75/45.14            = e22) &  ~ (v200 = e22) &  ~ (v197 = e22) &  ~ (v194 = e22) &  ~
% 232.75/45.14          (v191 = e22) & h4(e14) = v203 & h4(e13) = v200 & h4(e12) = v197 &
% 232.75/45.14          h4(e11) = v194 & h4(e10) = v191 & $i(v203) & $i(v200) & $i(v197) &
% 232.75/45.14          $i(v194) & $i(v191)) | ( ~ (v203 = e21) &  ~ (v200 = e21) &  ~ (v197 =
% 232.75/45.14            e21) &  ~ (v194 = e21) &  ~ (v191 = e21) & h4(e14) = v203 & h4(e13) =
% 232.75/45.14          v200 & h4(e12) = v197 & h4(e11) = v194 & h4(e10) = v191 & $i(v203) &
% 232.75/45.14          $i(v200) & $i(v197) & $i(v194) & $i(v191)) | ( ~ (v203 = e20) &  ~ (v200
% 232.75/45.14            = e20) &  ~ (v197 = e20) &  ~ (v194 = e20) &  ~ (v191 = e20) & h4(e14)
% 232.75/45.14          = v203 & h4(e13) = v200 & h4(e12) = v197 & h4(e11) = v194 & h4(e10) =
% 232.75/45.14          v191 & $i(v203) & $i(v200) & $i(v197) & $i(v194) & $i(v191)) | (h4(e10)
% 232.75/45.14          = v191 & $i(v191) & (( ~ (v206 = v205) & h4(v20) = v205 & h4(e11) = v194
% 232.75/45.14              & op2(v194, v191) = v206 & op1(e11, e10) = v20 & $i(v206) & $i(v205)
% 232.75/45.14              & $i(v194) & $i(v20)) | ( ~ (v204 = v202) & h4(v16) = v202 & h4(e14)
% 232.75/45.14              = v203 & op2(v191, v203) = v204 & op1(e10, e14) = v16 & $i(v204) &
% 232.75/45.14              $i(v203) & $i(v202) & $i(v16)) | ( ~ (v201 = v199) & h4(v12) = v199
% 232.75/45.14              & h4(e13) = v200 & op2(v191, v200) = v201 & op1(e10, e13) = v12 &
% 232.75/45.14              $i(v201) & $i(v200) & $i(v199) & $i(v12)) | ( ~ (v198 = v196) &
% 232.75/45.14              h4(v8) = v196 & h4(e12) = v197 & op2(v191, v197) = v198 & op1(e10,
% 232.75/45.14                e12) = v8 & $i(v198) & $i(v197) & $i(v196) & $i(v8)) | ( ~ (v195 =
% 232.75/45.14                v193) & h4(v4) = v193 & h4(e11) = v194 & op2(v191, v194) = v195 &
% 232.75/45.14              op1(e10, e11) = v4 & $i(v195) & $i(v194) & $i(v193) & $i(v4)) | ( ~
% 232.75/45.14              (v192 = v190) & h4(v0) = v190 & op2(v191, v191) = v192 & op1(e10,
% 232.75/45.14                e10) = v0 & $i(v192) & $i(v190) & $i(v0))))) & (( ~ (v189 = v188)
% 232.75/45.14          & h3(v77) = v188 & h3(e14) = v148 & op2(v148, v148) = v189 & op1(e14,
% 232.75/45.14            e14) = v77 & $i(v189) & $i(v188) & $i(v148) & $i(v77)) | ( ~ (v187 =
% 232.75/45.14            v186) & h3(v74) = v186 & h3(e14) = v148 & h3(e13) = v145 & op2(v148,
% 232.75/45.14            v145) = v187 & op1(e14, e13) = v74 & $i(v187) & $i(v186) & $i(v148) &
% 232.75/45.14          $i(v145) & $i(v74)) | ( ~ (v185 = v184) & h3(v71) = v184 & h3(e14) =
% 232.75/45.14          v148 & h3(e12) = v142 & op2(v148, v142) = v185 & op1(e14, e12) = v71 &
% 232.75/45.14          $i(v185) & $i(v184) & $i(v148) & $i(v142) & $i(v71)) | ( ~ (v183 = v182)
% 232.75/45.14          & h3(v68) = v182 & h3(e14) = v148 & h3(e11) = v139 & op2(v148, v139) =
% 232.75/45.14          v183 & op1(e14, e11) = v68 & $i(v183) & $i(v182) & $i(v148) & $i(v139) &
% 232.75/45.14          $i(v68)) | ( ~ (v181 = v180) & h3(v65) = v180 & h3(e14) = v148 & h3(e10)
% 232.75/45.14          = v136 & op2(v148, v136) = v181 & op1(e14, e10) = v65 & $i(v181) &
% 232.75/45.14          $i(v180) & $i(v148) & $i(v136) & $i(v65)) | ( ~ (v179 = v178) & h3(v62)
% 232.75/45.14          = v178 & h3(e14) = v148 & h3(e13) = v145 & op2(v145, v148) = v179 &
% 232.75/45.14          op1(e13, e14) = v62 & $i(v179) & $i(v178) & $i(v148) & $i(v145) &
% 232.75/45.14          $i(v62)) | ( ~ (v177 = v176) & h3(v59) = v176 & h3(e13) = v145 &
% 232.75/45.14          op2(v145, v145) = v177 & op1(e13, e13) = v59 & $i(v177) & $i(v176) &
% 232.75/45.14          $i(v145) & $i(v59)) | ( ~ (v175 = v174) & h3(v56) = v174 & h3(e13) =
% 232.75/45.14          v145 & h3(e12) = v142 & op2(v145, v142) = v175 & op1(e13, e12) = v56 &
% 232.75/45.14          $i(v175) & $i(v174) & $i(v145) & $i(v142) & $i(v56)) | ( ~ (v173 = v172)
% 232.75/45.14          & h3(v53) = v172 & h3(e13) = v145 & h3(e11) = v139 & op2(v145, v139) =
% 232.75/45.14          v173 & op1(e13, e11) = v53 & $i(v173) & $i(v172) & $i(v145) & $i(v139) &
% 232.75/45.14          $i(v53)) | ( ~ (v171 = v170) & h3(v50) = v170 & h3(e13) = v145 & h3(e10)
% 232.75/45.14          = v136 & op2(v145, v136) = v171 & op1(e13, e10) = v50 & $i(v171) &
% 232.75/45.14          $i(v170) & $i(v145) & $i(v136) & $i(v50)) | ( ~ (v169 = v168) & h3(v47)
% 232.75/45.14          = v168 & h3(e14) = v148 & h3(e12) = v142 & op2(v142, v148) = v169 &
% 232.75/45.14          op1(e12, e14) = v47 & $i(v169) & $i(v168) & $i(v148) & $i(v142) &
% 232.75/45.14          $i(v47)) | ( ~ (v167 = v166) & h3(v44) = v166 & h3(e13) = v145 & h3(e12)
% 232.75/45.14          = v142 & op2(v142, v145) = v167 & op1(e12, e13) = v44 & $i(v167) &
% 232.75/45.14          $i(v166) & $i(v145) & $i(v142) & $i(v44)) | ( ~ (v165 = v164) & h3(v41)
% 232.75/45.14          = v164 & h3(e12) = v142 & op2(v142, v142) = v165 & op1(e12, e12) = v41 &
% 232.75/45.14          $i(v165) & $i(v164) & $i(v142) & $i(v41)) | ( ~ (v163 = v162) & h3(v38)
% 232.75/45.14          = v162 & h3(e12) = v142 & h3(e11) = v139 & op2(v142, v139) = v163 &
% 232.75/45.14          op1(e12, e11) = v38 & $i(v163) & $i(v162) & $i(v142) & $i(v139) &
% 232.75/45.14          $i(v38)) | ( ~ (v161 = v160) & h3(v35) = v160 & h3(e12) = v142 & h3(e10)
% 232.75/45.14          = v136 & op2(v142, v136) = v161 & op1(e12, e10) = v35 & $i(v161) &
% 232.75/45.14          $i(v160) & $i(v142) & $i(v136) & $i(v35)) | ( ~ (v159 = v158) & h3(v32)
% 232.75/45.14          = v158 & h3(e14) = v148 & h3(e11) = v139 & op2(v139, v148) = v159 &
% 232.75/45.14          op1(e11, e14) = v32 & $i(v159) & $i(v158) & $i(v148) & $i(v139) &
% 232.75/45.14          $i(v32)) | ( ~ (v157 = v156) & h3(v29) = v156 & h3(e13) = v145 & h3(e11)
% 232.75/45.14          = v139 & op2(v139, v145) = v157 & op1(e11, e13) = v29 & $i(v157) &
% 232.75/45.14          $i(v156) & $i(v145) & $i(v139) & $i(v29)) | ( ~ (v155 = v154) & h3(v26)
% 232.75/45.14          = v154 & h3(e12) = v142 & h3(e11) = v139 & op2(v139, v142) = v155 &
% 232.75/45.14          op1(e11, e12) = v26 & $i(v155) & $i(v154) & $i(v142) & $i(v139) &
% 232.75/45.14          $i(v26)) | ( ~ (v153 = v152) & h3(v23) = v152 & h3(e11) = v139 &
% 232.75/45.14          op2(v139, v139) = v153 & op1(e11, e11) = v23 & $i(v153) & $i(v152) &
% 232.75/45.14          $i(v139) & $i(v23)) | ( ~ (v148 = e24) &  ~ (v145 = e24) &  ~ (v142 =
% 232.75/45.14            e24) &  ~ (v139 = e24) &  ~ (v136 = e24) & h3(e14) = v148 & h3(e13) =
% 232.75/45.14          v145 & h3(e12) = v142 & h3(e11) = v139 & h3(e10) = v136 & $i(v148) &
% 232.75/45.14          $i(v145) & $i(v142) & $i(v139) & $i(v136)) | ( ~ (v148 = e23) &  ~ (v145
% 232.75/45.14            = e23) &  ~ (v142 = e23) &  ~ (v139 = e23) &  ~ (v136 = e23) & h3(e14)
% 232.75/45.14          = v148 & h3(e13) = v145 & h3(e12) = v142 & h3(e11) = v139 & h3(e10) =
% 232.75/45.14          v136 & $i(v148) & $i(v145) & $i(v142) & $i(v139) & $i(v136)) | ( ~ (v148
% 232.75/45.14            = e22) &  ~ (v145 = e22) &  ~ (v142 = e22) &  ~ (v139 = e22) &  ~
% 232.75/45.14          (v136 = e22) & h3(e14) = v148 & h3(e13) = v145 & h3(e12) = v142 &
% 232.75/45.14          h3(e11) = v139 & h3(e10) = v136 & $i(v148) & $i(v145) & $i(v142) &
% 232.75/45.14          $i(v139) & $i(v136)) | ( ~ (v148 = e21) &  ~ (v145 = e21) &  ~ (v142 =
% 232.75/45.14            e21) &  ~ (v139 = e21) &  ~ (v136 = e21) & h3(e14) = v148 & h3(e13) =
% 232.75/45.14          v145 & h3(e12) = v142 & h3(e11) = v139 & h3(e10) = v136 & $i(v148) &
% 232.75/45.14          $i(v145) & $i(v142) & $i(v139) & $i(v136)) | ( ~ (v148 = e20) &  ~ (v145
% 232.75/45.14            = e20) &  ~ (v142 = e20) &  ~ (v139 = e20) &  ~ (v136 = e20) & h3(e14)
% 232.75/45.14          = v148 & h3(e13) = v145 & h3(e12) = v142 & h3(e11) = v139 & h3(e10) =
% 232.75/45.14          v136 & $i(v148) & $i(v145) & $i(v142) & $i(v139) & $i(v136)) | (h3(e10)
% 232.75/45.14          = v136 & $i(v136) & (( ~ (v151 = v150) & h3(v20) = v150 & h3(e11) = v139
% 232.75/45.14              & op2(v139, v136) = v151 & op1(e11, e10) = v20 & $i(v151) & $i(v150)
% 232.75/45.14              & $i(v139) & $i(v20)) | ( ~ (v149 = v147) & h3(v16) = v147 & h3(e14)
% 232.75/45.14              = v148 & op2(v136, v148) = v149 & op1(e10, e14) = v16 & $i(v149) &
% 232.75/45.14              $i(v148) & $i(v147) & $i(v16)) | ( ~ (v146 = v144) & h3(v12) = v144
% 232.75/45.14              & h3(e13) = v145 & op2(v136, v145) = v146 & op1(e10, e13) = v12 &
% 232.75/45.14              $i(v146) & $i(v145) & $i(v144) & $i(v12)) | ( ~ (v143 = v141) &
% 232.75/45.14              h3(v8) = v141 & h3(e12) = v142 & op2(v136, v142) = v143 & op1(e10,
% 232.75/45.14                e12) = v8 & $i(v143) & $i(v142) & $i(v141) & $i(v8)) | ( ~ (v140 =
% 232.75/45.14                v138) & h3(v4) = v138 & h3(e11) = v139 & op2(v136, v139) = v140 &
% 232.75/45.14              op1(e10, e11) = v4 & $i(v140) & $i(v139) & $i(v138) & $i(v4)) | ( ~
% 232.75/45.14              (v137 = v135) & h3(v0) = v135 & op2(v136, v136) = v137 & op1(e10,
% 232.75/45.14                e10) = v0 & $i(v137) & $i(v135) & $i(v0))))) & (( ~ (v134 = v133)
% 232.75/45.14          & h2(v77) = v133 & h2(e14) = v93 & op2(v93, v93) = v134 & op1(e14, e14)
% 232.75/45.14          = v77 & $i(v134) & $i(v133) & $i(v93) & $i(v77)) | ( ~ (v132 = v131) &
% 232.75/45.14          h2(v74) = v131 & h2(e14) = v93 & h2(e13) = v90 & op2(v93, v90) = v132 &
% 232.75/45.14          op1(e14, e13) = v74 & $i(v132) & $i(v131) & $i(v93) & $i(v90) & $i(v74))
% 232.75/45.14        | ( ~ (v130 = v129) & h2(v71) = v129 & h2(e14) = v93 & h2(e12) = v87 &
% 232.75/45.14          op2(v93, v87) = v130 & op1(e14, e12) = v71 & $i(v130) & $i(v129) &
% 232.75/45.14          $i(v93) & $i(v87) & $i(v71)) | ( ~ (v128 = v127) & h2(v68) = v127 &
% 232.75/45.14          h2(e14) = v93 & h2(e11) = v84 & op2(v93, v84) = v128 & op1(e14, e11) =
% 232.75/45.14          v68 & $i(v128) & $i(v127) & $i(v93) & $i(v84) & $i(v68)) | ( ~ (v126 =
% 232.75/45.14            v125) & h2(v65) = v125 & h2(e14) = v93 & h2(e10) = v81 & op2(v93, v81)
% 232.75/45.14          = v126 & op1(e14, e10) = v65 & $i(v126) & $i(v125) & $i(v93) & $i(v81) &
% 232.75/45.14          $i(v65)) | ( ~ (v124 = v123) & h2(v62) = v123 & h2(e14) = v93 & h2(e13)
% 232.75/45.14          = v90 & op2(v90, v93) = v124 & op1(e13, e14) = v62 & $i(v124) & $i(v123)
% 232.75/45.14          & $i(v93) & $i(v90) & $i(v62)) | ( ~ (v122 = v121) & h2(v59) = v121 &
% 232.75/45.14          h2(e13) = v90 & op2(v90, v90) = v122 & op1(e13, e13) = v59 & $i(v122) &
% 232.75/45.14          $i(v121) & $i(v90) & $i(v59)) | ( ~ (v120 = v119) & h2(v56) = v119 &
% 232.75/45.14          h2(e13) = v90 & h2(e12) = v87 & op2(v90, v87) = v120 & op1(e13, e12) =
% 232.75/45.14          v56 & $i(v120) & $i(v119) & $i(v90) & $i(v87) & $i(v56)) | ( ~ (v118 =
% 232.75/45.14            v117) & h2(v53) = v117 & h2(e13) = v90 & h2(e11) = v84 & op2(v90, v84)
% 232.75/45.14          = v118 & op1(e13, e11) = v53 & $i(v118) & $i(v117) & $i(v90) & $i(v84) &
% 232.75/45.14          $i(v53)) | ( ~ (v116 = v115) & h2(v50) = v115 & h2(e13) = v90 & h2(e10)
% 232.75/45.14          = v81 & op2(v90, v81) = v116 & op1(e13, e10) = v50 & $i(v116) & $i(v115)
% 232.75/45.14          & $i(v90) & $i(v81) & $i(v50)) | ( ~ (v114 = v113) & h2(v47) = v113 &
% 232.75/45.14          h2(e14) = v93 & h2(e12) = v87 & op2(v87, v93) = v114 & op1(e12, e14) =
% 232.75/45.14          v47 & $i(v114) & $i(v113) & $i(v93) & $i(v87) & $i(v47)) | ( ~ (v112 =
% 232.75/45.14            v111) & h2(v44) = v111 & h2(e13) = v90 & h2(e12) = v87 & op2(v87, v90)
% 232.75/45.14          = v112 & op1(e12, e13) = v44 & $i(v112) & $i(v111) & $i(v90) & $i(v87) &
% 232.75/45.14          $i(v44)) | ( ~ (v110 = v109) & h2(v41) = v109 & h2(e12) = v87 & op2(v87,
% 232.75/45.14            v87) = v110 & op1(e12, e12) = v41 & $i(v110) & $i(v109) & $i(v87) &
% 232.75/45.14          $i(v41)) | ( ~ (v108 = v107) & h2(v38) = v107 & h2(e12) = v87 & h2(e11)
% 232.75/45.14          = v84 & op2(v87, v84) = v108 & op1(e12, e11) = v38 & $i(v108) & $i(v107)
% 232.75/45.14          & $i(v87) & $i(v84) & $i(v38)) | ( ~ (v106 = v105) & h2(v35) = v105 &
% 232.75/45.14          h2(e12) = v87 & h2(e10) = v81 & op2(v87, v81) = v106 & op1(e12, e10) =
% 232.75/45.14          v35 & $i(v106) & $i(v105) & $i(v87) & $i(v81) & $i(v35)) | ( ~ (v104 =
% 232.75/45.14            v103) & h2(v32) = v103 & h2(e14) = v93 & h2(e11) = v84 & op2(v84, v93)
% 232.75/45.14          = v104 & op1(e11, e14) = v32 & $i(v104) & $i(v103) & $i(v93) & $i(v84) &
% 232.75/45.14          $i(v32)) | ( ~ (v102 = v101) & h2(v29) = v101 & h2(e13) = v90 & h2(e11)
% 232.75/45.14          = v84 & op2(v84, v90) = v102 & op1(e11, e13) = v29 & $i(v102) & $i(v101)
% 232.75/45.14          & $i(v90) & $i(v84) & $i(v29)) | ( ~ (v100 = v99) & h2(v26) = v99 &
% 232.75/45.14          h2(e12) = v87 & h2(e11) = v84 & op2(v84, v87) = v100 & op1(e11, e12) =
% 232.75/45.14          v26 & $i(v100) & $i(v99) & $i(v87) & $i(v84) & $i(v26)) | ( ~ (v98 =
% 232.75/45.14            v97) & h2(v23) = v97 & h2(e11) = v84 & op2(v84, v84) = v98 & op1(e11,
% 232.75/45.14            e11) = v23 & $i(v98) & $i(v97) & $i(v84) & $i(v23)) | ( ~ (v93 = e24)
% 232.75/45.14          &  ~ (v90 = e24) &  ~ (v87 = e24) &  ~ (v84 = e24) &  ~ (v81 = e24) &
% 232.75/45.14          h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84 & h2(e10)
% 232.75/45.14          = v81 & $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~ (v93 =
% 232.75/45.14            e23) &  ~ (v90 = e23) &  ~ (v87 = e23) &  ~ (v84 = e23) &  ~ (v81 =
% 232.75/45.14            e23) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84 &
% 232.75/45.14          h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~
% 232.75/45.14          (v93 = e22) &  ~ (v90 = e22) &  ~ (v87 = e22) &  ~ (v84 = e22) &  ~ (v81
% 232.75/45.14            = e22) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84
% 232.75/45.14          & h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~
% 232.75/45.14          (v93 = e21) &  ~ (v90 = e21) &  ~ (v87 = e21) &  ~ (v84 = e21) &  ~ (v81
% 232.75/45.14            = e21) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84
% 232.75/45.14          & h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~
% 232.75/45.14          (v93 = e20) &  ~ (v90 = e20) &  ~ (v87 = e20) &  ~ (v84 = e20) &  ~ (v81
% 232.75/45.14            = e20) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84
% 232.75/45.14          & h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) |
% 232.75/45.14        (h2(e10) = v81 & $i(v81) & (( ~ (v96 = v95) & h2(v20) = v95 & h2(e11) =
% 232.75/45.14              v84 & op2(v84, v81) = v96 & op1(e11, e10) = v20 & $i(v96) & $i(v95)
% 232.75/45.14              & $i(v84) & $i(v20)) | ( ~ (v94 = v92) & h2(v16) = v92 & h2(e14) =
% 232.75/45.14              v93 & op2(v81, v93) = v94 & op1(e10, e14) = v16 & $i(v94) & $i(v93)
% 232.75/45.14              & $i(v92) & $i(v16)) | ( ~ (v91 = v89) & h2(v12) = v89 & h2(e13) =
% 232.75/45.14              v90 & op2(v81, v90) = v91 & op1(e10, e13) = v12 & $i(v91) & $i(v90)
% 232.75/45.14              & $i(v89) & $i(v12)) | ( ~ (v88 = v86) & h2(v8) = v86 & h2(e12) =
% 232.75/45.14              v87 & op2(v81, v87) = v88 & op1(e10, e12) = v8 & $i(v88) & $i(v87) &
% 232.75/45.14              $i(v86) & $i(v8)) | ( ~ (v85 = v83) & h2(v4) = v83 & h2(e11) = v84 &
% 232.75/45.14              op2(v81, v84) = v85 & op1(e10, e11) = v4 & $i(v85) & $i(v84) &
% 232.75/45.14              $i(v83) & $i(v4)) | ( ~ (v82 = v80) & h2(v0) = v80 & op2(v81, v81) =
% 232.75/45.14              v82 & op1(e10, e10) = v0 & $i(v82) & $i(v80) & $i(v0))))) & (( ~
% 232.75/45.14          (v79 = v78) & h1(v77) = v78 & h1(e14) = v18 & op2(v18, v18) = v79 &
% 232.75/45.14          op1(e14, e14) = v77 & $i(v79) & $i(v78) & $i(v77) & $i(v18)) | ( ~ (v76
% 232.75/45.14            = v75) & h1(v74) = v75 & h1(e14) = v18 & h1(e13) = v14 & op2(v18, v14)
% 232.75/45.14          = v76 & op1(e14, e13) = v74 & $i(v76) & $i(v75) & $i(v74) & $i(v18) &
% 232.75/45.14          $i(v14)) | ( ~ (v73 = v72) & h1(v71) = v72 & h1(e14) = v18 & h1(e12) =
% 232.75/45.14          v10 & op2(v18, v10) = v73 & op1(e14, e12) = v71 & $i(v73) & $i(v72) &
% 232.75/45.14          $i(v71) & $i(v18) & $i(v10)) | ( ~ (v70 = v69) & h1(v68) = v69 & h1(e14)
% 232.75/45.14          = v18 & h1(e11) = v6 & op2(v18, v6) = v70 & op1(e14, e11) = v68 &
% 232.75/45.14          $i(v70) & $i(v69) & $i(v68) & $i(v18) & $i(v6)) | ( ~ (v67 = v66) &
% 232.75/45.14          h1(v65) = v66 & h1(e14) = v18 & h1(e10) = v2 & op2(v18, v2) = v67 &
% 232.75/45.14          op1(e14, e10) = v65 & $i(v67) & $i(v66) & $i(v65) & $i(v18) & $i(v2)) |
% 232.75/45.14        ( ~ (v64 = v63) & h1(v62) = v63 & h1(e14) = v18 & h1(e13) = v14 & op2(v14,
% 232.75/45.14            v18) = v64 & op1(e13, e14) = v62 & $i(v64) & $i(v63) & $i(v62) &
% 232.75/45.14          $i(v18) & $i(v14)) | ( ~ (v61 = v60) & h1(v59) = v60 & h1(e13) = v14 &
% 232.75/45.14          op2(v14, v14) = v61 & op1(e13, e13) = v59 & $i(v61) & $i(v60) & $i(v59)
% 232.75/45.14          & $i(v14)) | ( ~ (v58 = v57) & h1(v56) = v57 & h1(e13) = v14 & h1(e12) =
% 232.75/45.14          v10 & op2(v14, v10) = v58 & op1(e13, e12) = v56 & $i(v58) & $i(v57) &
% 232.75/45.14          $i(v56) & $i(v14) & $i(v10)) | ( ~ (v55 = v54) & h1(v53) = v54 & h1(e13)
% 232.75/45.14          = v14 & h1(e11) = v6 & op2(v14, v6) = v55 & op1(e13, e11) = v53 &
% 232.75/45.14          $i(v55) & $i(v54) & $i(v53) & $i(v14) & $i(v6)) | ( ~ (v52 = v51) &
% 232.75/45.14          h1(v50) = v51 & h1(e13) = v14 & h1(e10) = v2 & op2(v14, v2) = v52 &
% 232.75/45.14          op1(e13, e10) = v50 & $i(v52) & $i(v51) & $i(v50) & $i(v14) & $i(v2)) |
% 232.75/45.14        ( ~ (v49 = v48) & h1(v47) = v48 & h1(e14) = v18 & h1(e12) = v10 & op2(v10,
% 232.75/45.14            v18) = v49 & op1(e12, e14) = v47 & $i(v49) & $i(v48) & $i(v47) &
% 232.75/45.14          $i(v18) & $i(v10)) | ( ~ (v46 = v45) & h1(v44) = v45 & h1(e13) = v14 &
% 232.75/45.14          h1(e12) = v10 & op2(v10, v14) = v46 & op1(e12, e13) = v44 & $i(v46) &
% 232.75/45.14          $i(v45) & $i(v44) & $i(v14) & $i(v10)) | ( ~ (v43 = v42) & h1(v41) = v42
% 232.75/45.14          & h1(e12) = v10 & op2(v10, v10) = v43 & op1(e12, e12) = v41 & $i(v43) &
% 232.75/45.14          $i(v42) & $i(v41) & $i(v10)) | ( ~ (v40 = v39) & h1(v38) = v39 & h1(e12)
% 232.75/45.14          = v10 & h1(e11) = v6 & op2(v10, v6) = v40 & op1(e12, e11) = v38 &
% 232.75/45.14          $i(v40) & $i(v39) & $i(v38) & $i(v10) & $i(v6)) | ( ~ (v37 = v36) &
% 232.75/45.14          h1(v35) = v36 & h1(e12) = v10 & h1(e10) = v2 & op2(v10, v2) = v37 &
% 232.75/45.14          op1(e12, e10) = v35 & $i(v37) & $i(v36) & $i(v35) & $i(v10) & $i(v2)) |
% 232.75/45.14        ( ~ (v34 = v33) & h1(v32) = v33 & h1(e14) = v18 & h1(e11) = v6 & op2(v6,
% 232.75/45.14            v18) = v34 & op1(e11, e14) = v32 & $i(v34) & $i(v33) & $i(v32) &
% 232.75/45.14          $i(v18) & $i(v6)) | ( ~ (v31 = v30) & h1(v29) = v30 & h1(e13) = v14 &
% 232.75/45.14          h1(e11) = v6 & op2(v6, v14) = v31 & op1(e11, e13) = v29 & $i(v31) &
% 232.75/45.14          $i(v30) & $i(v29) & $i(v14) & $i(v6)) | ( ~ (v28 = v27) & h1(v26) = v27
% 232.75/45.14          & h1(e12) = v10 & h1(e11) = v6 & op2(v6, v10) = v28 & op1(e11, e12) =
% 232.75/45.14          v26 & $i(v28) & $i(v27) & $i(v26) & $i(v10) & $i(v6)) | ( ~ (v25 = v24)
% 232.75/45.14          & h1(v23) = v24 & h1(e11) = v6 & op2(v6, v6) = v25 & op1(e11, e11) = v23
% 232.75/45.14          & $i(v25) & $i(v24) & $i(v23) & $i(v6)) | ( ~ (v18 = e24) &  ~ (v14 =
% 232.75/45.14            e24) &  ~ (v10 = e24) &  ~ (v6 = e24) &  ~ (v2 = e24) & h1(e14) = v18
% 232.75/45.14          & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18)
% 232.75/45.14          & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e23) &  ~ (v14 =
% 232.75/45.14            e23) &  ~ (v10 = e23) &  ~ (v6 = e23) &  ~ (v2 = e23) & h1(e14) = v18
% 232.75/45.14          & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18)
% 232.75/45.14          & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e22) &  ~ (v14 =
% 232.75/45.14            e22) &  ~ (v10 = e22) &  ~ (v6 = e22) &  ~ (v2 = e22) & h1(e14) = v18
% 232.75/45.14          & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18)
% 232.75/45.14          & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e21) &  ~ (v14 =
% 232.75/45.14            e21) &  ~ (v10 = e21) &  ~ (v6 = e21) &  ~ (v2 = e21) & h1(e14) = v18
% 232.75/45.14          & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18)
% 232.75/45.14          & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e20) &  ~ (v14 =
% 232.75/45.14            e20) &  ~ (v10 = e20) &  ~ (v6 = e20) &  ~ (v2 = e20) & h1(e14) = v18
% 232.75/45.14          & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18)
% 232.75/45.14          & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | (h1(e10) = v2 & $i(v2) & (( ~
% 232.75/45.14              (v22 = v21) & h1(v20) = v21 & h1(e11) = v6 & op2(v6, v2) = v22 &
% 232.75/45.14              op1(e11, e10) = v20 & $i(v22) & $i(v21) & $i(v20) & $i(v6)) | ( ~
% 232.75/45.14              (v19 = v17) & h1(v16) = v17 & h1(e14) = v18 & op2(v2, v18) = v19 &
% 232.75/45.14              op1(e10, e14) = v16 & $i(v19) & $i(v18) & $i(v17) & $i(v16)) | ( ~
% 232.75/45.14              (v15 = v13) & h1(v12) = v13 & h1(e13) = v14 & op2(v2, v14) = v15 &
% 232.75/45.14              op1(e10, e13) = v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12)) | ( ~
% 232.75/45.14              (v11 = v9) & h1(v8) = v9 & h1(e12) = v10 & op2(v2, v10) = v11 &
% 232.75/45.14              op1(e10, e12) = v8 & $i(v11) & $i(v10) & $i(v9) & $i(v8)) | ( ~ (v7
% 232.75/45.14                = v5) & h1(v4) = v5 & h1(e11) = v6 & op2(v2, v6) = v7 & op1(e10,
% 232.75/45.14                e11) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4)) | ( ~ (v3 = v1) &
% 232.75/45.14              h1(v0) = v1 & op2(v2, v2) = v3 & op1(e10, e10) = v0 & $i(v3) &
% 232.75/45.14              $i(v1) & $i(v0))))))
% 232.75/45.14  
% 232.75/45.14    (function-axioms)
% 232.75/45.14     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op2(v3,
% 232.75/45.14          v2) = v1) |  ~ (op2(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 232.75/45.14      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op1(v3, v2) = v1) |  ~ (op1(v3, v2) =
% 232.75/45.14        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h5(v2) =
% 232.75/45.14        v1) |  ~ (h5(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 232.75/45.14      v0 |  ~ (h4(v2) = v1) |  ~ (h4(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 232.75/45.14    [v2: $i] : (v1 = v0 |  ~ (h3(v2) = v1) |  ~ (h3(v2) = v0)) &  ! [v0: $i] :  !
% 232.75/45.14    [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h2(v2) = v1) |  ~ (h2(v2) = v0)) &  !
% 232.75/45.14    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h1(v2) = v1) |  ~
% 232.75/45.14      (h1(v2) = v0))
% 232.75/45.14  
% 232.75/45.14  Further assumptions not needed in the proof:
% 232.75/45.14  --------------------------------------------
% 232.75/45.14  ax11
% 232.75/45.14  
% 232.75/45.14  Those formulas are unsatisfiable:
% 232.75/45.14  ---------------------------------
% 232.75/45.14  
% 232.75/45.14  Begin of proof
% 233.05/45.15  | 
% 233.05/45.15  | ALPHA: (ax1) implies:
% 233.05/45.15  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.05/45.15  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 233.05/45.15  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 233.05/45.15  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 233.05/45.15  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 233.05/45.15  |        [v24: $i] : (op1(e14, e14) = v24 & op1(e14, e13) = v23 & op1(e14, e12)
% 233.05/45.15  |          = v22 & op1(e14, e11) = v21 & op1(e14, e10) = v20 & op1(e13, e14) =
% 233.05/45.15  |          v19 & op1(e13, e13) = v18 & op1(e13, e12) = v17 & op1(e13, e11) = v16
% 233.05/45.15  |          & op1(e13, e10) = v15 & op1(e12, e14) = v14 & op1(e12, e13) = v13 &
% 233.05/45.15  |          op1(e12, e12) = v12 & op1(e12, e11) = v11 & op1(e12, e10) = v10 &
% 233.05/45.15  |          op1(e11, e14) = v9 & op1(e11, e13) = v8 & op1(e11, e12) = v7 &
% 233.05/45.15  |          op1(e11, e11) = v6 & op1(e11, e10) = v5 & op1(e10, e14) = v4 &
% 233.05/45.15  |          op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 233.05/45.15  |          op1(e10, e10) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 233.05/45.15  |          & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 233.05/45.15  |          & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 233.05/45.15  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e14 |
% 233.05/45.15  |            v24 = e13 | v24 = e12 | v24 = e11 | v24 = e10) & (v23 = e14 | v23 =
% 233.05/45.15  |            e13 | v23 = e12 | v23 = e11 | v23 = e10) & (v22 = e14 | v22 = e13 |
% 233.05/45.15  |            v22 = e12 | v22 = e11 | v22 = e10) & (v21 = e14 | v21 = e13 | v21 =
% 233.05/45.15  |            e12 | v21 = e11 | v21 = e10) & (v20 = e14 | v20 = e13 | v20 = e12 |
% 233.05/45.15  |            v20 = e11 | v20 = e10) & (v19 = e14 | v19 = e13 | v19 = e12 | v19 =
% 233.05/45.15  |            e11 | v19 = e10) & (v18 = e14 | v18 = e13 | v18 = e12 | v18 = e11 |
% 233.05/45.15  |            v18 = e10) & (v17 = e14 | v17 = e13 | v17 = e12 | v17 = e11 | v17 =
% 233.05/45.15  |            e10) & (v16 = e14 | v16 = e13 | v16 = e12 | v16 = e11 | v16 = e10)
% 233.05/45.15  |          & (v15 = e14 | v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14
% 233.05/45.15  |            = e14 | v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) & (v13 = e14
% 233.05/45.15  |            | v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e14 | v12
% 233.05/45.15  |            = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e14 | v11 = e13
% 233.05/45.15  |            | v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e14 | v10 = e13 | v10
% 233.05/45.15  |            = e12 | v10 = e11 | v10 = e10) & (v9 = e14 | v9 = e13 | v9 = e12 |
% 233.05/45.15  |            v9 = e11 | v9 = e10) & (v8 = e14 | v8 = e13 | v8 = e12 | v8 = e11 |
% 233.05/45.15  |            v8 = e10) & (v7 = e14 | v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 233.05/45.15  |          & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e14
% 233.05/45.15  |            | v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v4 = e14 | v4 = e13
% 233.05/45.15  |            | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e14 | v3 = e13 | v3 = e12
% 233.05/45.15  |            | v3 = e11 | v3 = e10) & (v2 = e14 | v2 = e13 | v2 = e12 | v2 = e11
% 233.05/45.15  |            | v2 = e10) & (v1 = e14 | v1 = e13 | v1 = e12 | v1 = e11 | v1 =
% 233.05/45.15  |            e10) & (v0 = e14 | v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 233.05/45.15  | 
% 233.05/45.15  | ALPHA: (ax2) implies:
% 233.05/45.15  |   (2)  op1(e10, unit1) = e10
% 233.05/45.15  |   (3)  op1(e11, unit1) = e11
% 233.05/45.15  |   (4)  op1(e12, unit1) = e12
% 233.05/45.15  |   (5)  op1(e13, unit1) = e13
% 233.05/45.15  |   (6)  op1(e14, unit1) = e14
% 233.05/45.15  |   (7)  op1(unit1, e11) = e11
% 233.05/45.15  |   (8)  op1(unit1, e12) = e12
% 233.05/45.15  |   (9)  op1(unit1, e13) = e13
% 233.05/45.15  |   (10)  op1(unit1, e14) = e14
% 233.05/45.16  |   (11)  unit1 = e14 | unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 233.05/45.16  | 
% 233.05/45.16  | ALPHA: (ax3) implies:
% 233.17/45.17  |   (12)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.17  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.17  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.17  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.17  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.17  |         :  ? [v24: $i] : (((v24 = e14 & op1(e14, e14) = e14) | (v23 = e14 &
% 233.17/45.17  |               op1(e14, e13) = e14) | (v20 = e14 & op1(e14, e12) = e14) | (v15
% 233.17/45.17  |               = e14 & op1(e14, e11) = e14) | (v8 = e14 & op1(e14, e10) = e14))
% 233.17/45.17  |           & ((v24 = e14 & op1(e14, e14) = e14) | (v22 = e14 & op1(e13, e14) =
% 233.17/45.17  |               e14) | (v18 = e14 & op1(e12, e14) = e14) | (v12 = e14 & op1(e11,
% 233.17/45.17  |                 e14) = e14) | (v4 = e14 & op1(e10, e14) = e14)) & ((v24 = e13
% 233.17/45.17  |               & op1(e14, e14) = e13) | (v23 = e13 & op1(e14, e13) = e13) |
% 233.17/45.17  |             (v20 = e13 & op1(e14, e12) = e13) | (v15 = e13 & op1(e14, e11) =
% 233.17/45.17  |               e13) | (v8 = e13 & op1(e14, e10) = e13)) & ((v24 = e13 &
% 233.17/45.17  |               op1(e14, e14) = e13) | (v22 = e13 & op1(e13, e14) = e13) | (v18
% 233.17/45.17  |               = e13 & op1(e12, e14) = e13) | (v12 = e13 & op1(e11, e14) = e13)
% 233.17/45.17  |             | (v4 = e13 & op1(e10, e14) = e13)) & ((v24 = e12 & op1(e14, e14)
% 233.17/45.17  |               = e12) | (v23 = e12 & op1(e14, e13) = e12) | (v20 = e12 &
% 233.17/45.17  |               op1(e14, e12) = e12) | (v15 = e12 & op1(e14, e11) = e12) | (v8 =
% 233.17/45.17  |               e12 & op1(e14, e10) = e12)) & ((v24 = e12 & op1(e14, e14) = e12)
% 233.17/45.17  |             | (v22 = e12 & op1(e13, e14) = e12) | (v18 = e12 & op1(e12, e14) =
% 233.17/45.17  |               e12) | (v12 = e12 & op1(e11, e14) = e12) | (v4 = e12 & op1(e10,
% 233.17/45.17  |                 e14) = e12)) & ((v24 = e11 & op1(e14, e14) = e11) | (v23 = e11
% 233.17/45.17  |               & op1(e14, e13) = e11) | (v20 = e11 & op1(e14, e12) = e11) |
% 233.17/45.17  |             (v15 = e11 & op1(e14, e11) = e11) | (v8 = e11 & op1(e14, e10) =
% 233.17/45.17  |               e11)) & ((v24 = e11 & op1(e14, e14) = e11) | (v22 = e11 &
% 233.17/45.17  |               op1(e13, e14) = e11) | (v18 = e11 & op1(e12, e14) = e11) | (v12
% 233.17/45.17  |               = e11 & op1(e11, e14) = e11) | (v4 = e11 & op1(e10, e14) = e11))
% 233.17/45.17  |           & ((v24 = e10 & op1(e14, e14) = e10) | (v23 = e10 & op1(e14, e13) =
% 233.17/45.17  |               e10) | (v20 = e10 & op1(e14, e12) = e10) | (v15 = e10 & op1(e14,
% 233.17/45.17  |                 e11) = e10) | (v8 = e10 & op1(e14, e10) = e10)) & ((v24 = e10
% 233.17/45.17  |               & op1(e14, e14) = e10) | (v22 = e10 & op1(e13, e14) = e10) |
% 233.17/45.17  |             (v18 = e10 & op1(e12, e14) = e10) | (v12 = e10 & op1(e11, e14) =
% 233.17/45.17  |               e10) | (v4 = e10 & op1(e10, e14) = e10)) & ((v23 = e14 &
% 233.17/45.17  |               op1(e14, e13) = e14) | (v21 = e14 & op1(e13, e13) = e14) | (v17
% 233.17/45.17  |               = e14 & op1(e12, e13) = e14) | (v11 = e14 & op1(e11, e13) = e14)
% 233.17/45.17  |             | (v3 = e14 & op1(e10, e13) = e14)) & ((v23 = e13 & op1(e14, e13)
% 233.17/45.17  |               = e13) | (v21 = e13 & op1(e13, e13) = e13) | (v17 = e13 &
% 233.17/45.17  |               op1(e12, e13) = e13) | (v11 = e13 & op1(e11, e13) = e13) | (v3 =
% 233.17/45.17  |               e13 & op1(e10, e13) = e13)) & ((v23 = e12 & op1(e14, e13) = e12)
% 233.17/45.17  |             | (v21 = e12 & op1(e13, e13) = e12) | (v17 = e12 & op1(e12, e13) =
% 233.17/45.17  |               e12) | (v11 = e12 & op1(e11, e13) = e12) | (v3 = e12 & op1(e10,
% 233.17/45.17  |                 e13) = e12)) & ((v23 = e11 & op1(e14, e13) = e11) | (v21 = e11
% 233.17/45.17  |               & op1(e13, e13) = e11) | (v17 = e11 & op1(e12, e13) = e11) |
% 233.17/45.17  |             (v11 = e11 & op1(e11, e13) = e11) | (v3 = e11 & op1(e10, e13) =
% 233.17/45.17  |               e11)) & ((v23 = e10 & op1(e14, e13) = e10) | (v21 = e10 &
% 233.17/45.17  |               op1(e13, e13) = e10) | (v17 = e10 & op1(e12, e13) = e10) | (v11
% 233.17/45.17  |               = e10 & op1(e11, e13) = e10) | (v3 = e10 & op1(e10, e13) = e10))
% 233.17/45.17  |           & ((v22 = e14 & op1(e13, e14) = e14) | (v21 = e14 & op1(e13, e13) =
% 233.17/45.17  |               e14) | (v19 = e14 & op1(e13, e12) = e14) | (v14 = e14 & op1(e13,
% 233.17/45.17  |                 e11) = e14) | (v7 = e14 & op1(e13, e10) = e14)) & ((v22 = e13
% 233.17/45.17  |               & op1(e13, e14) = e13) | (v21 = e13 & op1(e13, e13) = e13) |
% 233.17/45.17  |             (v19 = e13 & op1(e13, e12) = e13) | (v14 = e13 & op1(e13, e11) =
% 233.17/45.17  |               e13) | (v7 = e13 & op1(e13, e10) = e13)) & ((v22 = e12 &
% 233.17/45.17  |               op1(e13, e14) = e12) | (v21 = e12 & op1(e13, e13) = e12) | (v19
% 233.17/45.17  |               = e12 & op1(e13, e12) = e12) | (v14 = e12 & op1(e13, e11) = e12)
% 233.17/45.17  |             | (v7 = e12 & op1(e13, e10) = e12)) & ((v22 = e11 & op1(e13, e14)
% 233.17/45.17  |               = e11) | (v21 = e11 & op1(e13, e13) = e11) | (v19 = e11 &
% 233.17/45.17  |               op1(e13, e12) = e11) | (v14 = e11 & op1(e13, e11) = e11) | (v7 =
% 233.17/45.17  |               e11 & op1(e13, e10) = e11)) & ((v22 = e10 & op1(e13, e14) = e10)
% 233.17/45.17  |             | (v21 = e10 & op1(e13, e13) = e10) | (v19 = e10 & op1(e13, e12) =
% 233.17/45.17  |               e10) | (v14 = e10 & op1(e13, e11) = e10) | (v7 = e10 & op1(e13,
% 233.17/45.17  |                 e10) = e10)) & ((v20 = e14 & op1(e14, e12) = e14) | (v19 = e14
% 233.17/45.17  |               & op1(e13, e12) = e14) | (v16 = e14 & op1(e12, e12) = e14) |
% 233.17/45.17  |             (v10 = e14 & op1(e11, e12) = e14) | (v2 = e14 & op1(e10, e12) =
% 233.17/45.17  |               e14)) & ((v20 = e13 & op1(e14, e12) = e13) | (v19 = e13 &
% 233.17/45.17  |               op1(e13, e12) = e13) | (v16 = e13 & op1(e12, e12) = e13) | (v10
% 233.17/45.17  |               = e13 & op1(e11, e12) = e13) | (v2 = e13 & op1(e10, e12) = e13))
% 233.17/45.17  |           & ((v20 = e12 & op1(e14, e12) = e12) | (v19 = e12 & op1(e13, e12) =
% 233.17/45.17  |               e12) | (v16 = e12 & op1(e12, e12) = e12) | (v10 = e12 & op1(e11,
% 233.17/45.17  |                 e12) = e12) | (v2 = e12 & op1(e10, e12) = e12)) & ((v20 = e11
% 233.17/45.17  |               & op1(e14, e12) = e11) | (v19 = e11 & op1(e13, e12) = e11) |
% 233.17/45.17  |             (v16 = e11 & op1(e12, e12) = e11) | (v10 = e11 & op1(e11, e12) =
% 233.17/45.17  |               e11) | (v2 = e11 & op1(e10, e12) = e11)) & ((v20 = e10 &
% 233.17/45.17  |               op1(e14, e12) = e10) | (v19 = e10 & op1(e13, e12) = e10) | (v16
% 233.17/45.17  |               = e10 & op1(e12, e12) = e10) | (v10 = e10 & op1(e11, e12) = e10)
% 233.17/45.17  |             | (v2 = e10 & op1(e10, e12) = e10)) & ((v18 = e14 & op1(e12, e14)
% 233.17/45.17  |               = e14) | (v17 = e14 & op1(e12, e13) = e14) | (v16 = e14 &
% 233.17/45.17  |               op1(e12, e12) = e14) | (v13 = e14 & op1(e12, e11) = e14) | (v6 =
% 233.17/45.17  |               e14 & op1(e12, e10) = e14)) & ((v18 = e13 & op1(e12, e14) = e13)
% 233.17/45.17  |             | (v17 = e13 & op1(e12, e13) = e13) | (v16 = e13 & op1(e12, e12) =
% 233.17/45.17  |               e13) | (v13 = e13 & op1(e12, e11) = e13) | (v6 = e13 & op1(e12,
% 233.17/45.17  |                 e10) = e13)) & ((v18 = e12 & op1(e12, e14) = e12) | (v17 = e12
% 233.17/45.17  |               & op1(e12, e13) = e12) | (v16 = e12 & op1(e12, e12) = e12) |
% 233.17/45.17  |             (v13 = e12 & op1(e12, e11) = e12) | (v6 = e12 & op1(e12, e10) =
% 233.17/45.17  |               e12)) & ((v18 = e11 & op1(e12, e14) = e11) | (v17 = e11 &
% 233.17/45.17  |               op1(e12, e13) = e11) | (v16 = e11 & op1(e12, e12) = e11) | (v13
% 233.17/45.17  |               = e11 & op1(e12, e11) = e11) | (v6 = e11 & op1(e12, e10) = e11))
% 233.17/45.17  |           & ((v18 = e10 & op1(e12, e14) = e10) | (v17 = e10 & op1(e12, e13) =
% 233.17/45.17  |               e10) | (v16 = e10 & op1(e12, e12) = e10) | (v13 = e10 & op1(e12,
% 233.17/45.17  |                 e11) = e10) | (v6 = e10 & op1(e12, e10) = e10)) & ((v15 = e14
% 233.17/45.17  |               & op1(e14, e11) = e14) | (v14 = e14 & op1(e13, e11) = e14) |
% 233.17/45.17  |             (v13 = e14 & op1(e12, e11) = e14) | (v9 = e14 & op1(e11, e11) =
% 233.17/45.17  |               e14) | (v1 = e14 & op1(e10, e11) = e14)) & ((v15 = e13 &
% 233.17/45.17  |               op1(e14, e11) = e13) | (v14 = e13 & op1(e13, e11) = e13) | (v13
% 233.17/45.17  |               = e13 & op1(e12, e11) = e13) | (v9 = e13 & op1(e11, e11) = e13)
% 233.17/45.17  |             | (v1 = e13 & op1(e10, e11) = e13)) & ((v15 = e12 & op1(e14, e11)
% 233.17/45.17  |               = e12) | (v14 = e12 & op1(e13, e11) = e12) | (v13 = e12 &
% 233.17/45.17  |               op1(e12, e11) = e12) | (v9 = e12 & op1(e11, e11) = e12) | (v1 =
% 233.17/45.17  |               e12 & op1(e10, e11) = e12)) & ((v15 = e11 & op1(e14, e11) = e11)
% 233.17/45.17  |             | (v14 = e11 & op1(e13, e11) = e11) | (v13 = e11 & op1(e12, e11) =
% 233.17/45.17  |               e11) | (v9 = e11 & op1(e11, e11) = e11) | (v1 = e11 & op1(e10,
% 233.17/45.17  |                 e11) = e11)) & ((v15 = e10 & op1(e14, e11) = e10) | (v14 = e10
% 233.17/45.17  |               & op1(e13, e11) = e10) | (v13 = e10 & op1(e12, e11) = e10) | (v9
% 233.17/45.17  |               = e10 & op1(e11, e11) = e10) | (v1 = e10 & op1(e10, e11) = e10))
% 233.17/45.17  |           & ((v12 = e14 & op1(e11, e14) = e14) | (v11 = e14 & op1(e11, e13) =
% 233.17/45.17  |               e14) | (v10 = e14 & op1(e11, e12) = e14) | (v9 = e14 & op1(e11,
% 233.17/45.17  |                 e11) = e14) | (v5 = e14 & op1(e11, e10) = e14)) & ((v12 = e13
% 233.17/45.17  |               & op1(e11, e14) = e13) | (v11 = e13 & op1(e11, e13) = e13) |
% 233.17/45.17  |             (v10 = e13 & op1(e11, e12) = e13) | (v9 = e13 & op1(e11, e11) =
% 233.17/45.17  |               e13) | (v5 = e13 & op1(e11, e10) = e13)) & ((v12 = e12 &
% 233.17/45.17  |               op1(e11, e14) = e12) | (v11 = e12 & op1(e11, e13) = e12) | (v10
% 233.17/45.17  |               = e12 & op1(e11, e12) = e12) | (v9 = e12 & op1(e11, e11) = e12)
% 233.17/45.17  |             | (v5 = e12 & op1(e11, e10) = e12)) & ((v12 = e11 & op1(e11, e14)
% 233.17/45.17  |               = e11) | (v11 = e11 & op1(e11, e13) = e11) | (v10 = e11 &
% 233.17/45.17  |               op1(e11, e12) = e11) | (v9 = e11 & op1(e11, e11) = e11) | (v5 =
% 233.17/45.17  |               e11 & op1(e11, e10) = e11)) & ((v12 = e10 & op1(e11, e14) = e10)
% 233.17/45.17  |             | (v11 = e10 & op1(e11, e13) = e10) | (v10 = e10 & op1(e11, e12) =
% 233.17/45.17  |               e10) | (v9 = e10 & op1(e11, e11) = e10) | (v5 = e10 & op1(e11,
% 233.17/45.17  |                 e10) = e10)) & ((v8 = e14 & op1(e14, e10) = e14) | (v7 = e14 &
% 233.17/45.17  |               op1(e13, e10) = e14) | (v6 = e14 & op1(e12, e10) = e14) | (v5 =
% 233.17/45.17  |               e14 & op1(e11, e10) = e14) | (v0 = e14 & op1(e10, e10) = e14)) &
% 233.17/45.17  |           ((v8 = e13 & op1(e14, e10) = e13) | (v7 = e13 & op1(e13, e10) = e13)
% 233.17/45.17  |             | (v6 = e13 & op1(e12, e10) = e13) | (v5 = e13 & op1(e11, e10) =
% 233.17/45.17  |               e13) | (v0 = e13 & op1(e10, e10) = e13)) & ((v8 = e12 & op1(e14,
% 233.17/45.17  |                 e10) = e12) | (v7 = e12 & op1(e13, e10) = e12) | (v6 = e12 &
% 233.17/45.17  |               op1(e12, e10) = e12) | (v5 = e12 & op1(e11, e10) = e12) | (v0 =
% 233.17/45.17  |               e12 & op1(e10, e10) = e12)) & ((v8 = e11 & op1(e14, e10) = e11)
% 233.17/45.17  |             | (v7 = e11 & op1(e13, e10) = e11) | (v6 = e11 & op1(e12, e10) =
% 233.17/45.17  |               e11) | (v5 = e11 & op1(e11, e10) = e11) | (v0 = e11 & op1(e10,
% 233.17/45.17  |                 e10) = e11)) & ((v4 = e14 & op1(e10, e14) = e14) | (v3 = e14 &
% 233.17/45.17  |               op1(e10, e13) = e14) | (v2 = e14 & op1(e10, e12) = e14) | (v1 =
% 233.17/45.17  |               e14 & op1(e10, e11) = e14) | (v0 = e14 & op1(e10, e10) = e14)) &
% 233.17/45.17  |           ((v4 = e13 & op1(e10, e14) = e13) | (v3 = e13 & op1(e10, e13) = e13)
% 233.17/45.17  |             | (v2 = e13 & op1(e10, e12) = e13) | (v1 = e13 & op1(e10, e11) =
% 233.17/45.17  |               e13) | (v0 = e13 & op1(e10, e10) = e13)) & ((v4 = e12 & op1(e10,
% 233.17/45.17  |                 e14) = e12) | (v3 = e12 & op1(e10, e13) = e12) | (v2 = e12 &
% 233.17/45.17  |               op1(e10, e12) = e12) | (v1 = e12 & op1(e10, e11) = e12) | (v0 =
% 233.17/45.17  |               e12 & op1(e10, e10) = e12)) & ((v4 = e11 & op1(e10, e14) = e11)
% 233.17/45.17  |             | (v3 = e11 & op1(e10, e13) = e11) | (v2 = e11 & op1(e10, e12) =
% 233.17/45.17  |               e11) | (v1 = e11 & op1(e10, e11) = e11) | (v0 = e11 & op1(e10,
% 233.17/45.17  |                 e10) = e11)) & ((v0 = e10 & op1(e10, e10) = e10) | (((v8 = e10
% 233.17/45.17  |                   & op1(e14, e10) = e10) | (v7 = e10 & op1(e13, e10) = e10) |
% 233.17/45.17  |                 (v6 = e10 & op1(e12, e10) = e10) | (v5 = e10 & op1(e11, e10) =
% 233.17/45.17  |                   e10)) & ((v4 = e10 & op1(e10, e14) = e10) | (v3 = e10 &
% 233.17/45.17  |                   op1(e10, e13) = e10) | (v2 = e10 & op1(e10, e12) = e10) |
% 233.17/45.17  |                 (v1 = e10 & op1(e10, e11) = e10)))))
% 233.17/45.17  | 
% 233.17/45.17  | ALPHA: (ax4) implies:
% 233.17/45.18  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.18  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.18  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.18  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.18  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.18  |         :  ? [v24: $i] : (op2(e24, e24) = v24 & op2(e24, e23) = v23 & op2(e24,
% 233.17/45.18  |             e22) = v22 & op2(e24, e21) = v21 & op2(e24, e20) = v20 & op2(e23,
% 233.17/45.18  |             e24) = v19 & op2(e23, e23) = v18 & op2(e23, e22) = v17 & op2(e23,
% 233.17/45.18  |             e21) = v16 & op2(e23, e20) = v15 & op2(e22, e24) = v14 & op2(e22,
% 233.17/45.18  |             e23) = v13 & op2(e22, e22) = v12 & op2(e22, e21) = v11 & op2(e22,
% 233.17/45.18  |             e20) = v10 & op2(e21, e24) = v9 & op2(e21, e23) = v8 & op2(e21,
% 233.17/45.18  |             e22) = v7 & op2(e21, e21) = v6 & op2(e21, e20) = v5 & op2(e20,
% 233.17/45.18  |             e24) = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20,
% 233.17/45.18  |             e21) = v1 & op2(e20, e20) = v0 & $i(v24) & $i(v23) & $i(v22) &
% 233.17/45.18  |           $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15)
% 233.17/45.18  |           & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 233.17/45.18  |           & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 233.17/45.18  |           $i(v0) & (v24 = e24 | v24 = e23 | v24 = e22 | v24 = e21 | v24 = e20)
% 233.17/45.18  |           & (v23 = e24 | v23 = e23 | v23 = e22 | v23 = e21 | v23 = e20) & (v22
% 233.17/45.18  |             = e24 | v22 = e23 | v22 = e22 | v22 = e21 | v22 = e20) & (v21 =
% 233.17/45.18  |             e24 | v21 = e23 | v21 = e22 | v21 = e21 | v21 = e20) & (v20 = e24
% 233.17/45.18  |             | v20 = e23 | v20 = e22 | v20 = e21 | v20 = e20) & (v19 = e24 |
% 233.17/45.18  |             v19 = e23 | v19 = e22 | v19 = e21 | v19 = e20) & (v18 = e24 | v18
% 233.17/45.18  |             = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v17 = e24 | v17 =
% 233.17/45.18  |             e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e24 | v16 = e23
% 233.17/45.18  |             | v16 = e22 | v16 = e21 | v16 = e20) & (v15 = e24 | v15 = e23 |
% 233.17/45.18  |             v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e24 | v14 = e23 | v14
% 233.17/45.18  |             = e22 | v14 = e21 | v14 = e20) & (v13 = e24 | v13 = e23 | v13 =
% 233.17/45.18  |             e22 | v13 = e21 | v13 = e20) & (v12 = e24 | v12 = e23 | v12 = e22
% 233.17/45.18  |             | v12 = e21 | v12 = e20) & (v11 = e24 | v11 = e23 | v11 = e22 |
% 233.17/45.18  |             v11 = e21 | v11 = e20) & (v10 = e24 | v10 = e23 | v10 = e22 | v10
% 233.17/45.18  |             = e21 | v10 = e20) & (v9 = e24 | v9 = e23 | v9 = e22 | v9 = e21 |
% 233.17/45.18  |             v9 = e20) & (v8 = e24 | v8 = e23 | v8 = e22 | v8 = e21 | v8 = e20)
% 233.17/45.18  |           & (v7 = e24 | v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) & (v6 = e24
% 233.17/45.18  |             | v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e24 | v5 =
% 233.17/45.18  |             e23 | v5 = e22 | v5 = e21 | v5 = e20) & (v4 = e24 | v4 = e23 | v4
% 233.17/45.18  |             = e22 | v4 = e21 | v4 = e20) & (v3 = e24 | v3 = e23 | v3 = e22 |
% 233.17/45.18  |             v3 = e21 | v3 = e20) & (v2 = e24 | v2 = e23 | v2 = e22 | v2 = e21
% 233.17/45.18  |             | v2 = e20) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 = e21 | v1 =
% 233.17/45.18  |             e20) & (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 233.17/45.18  | 
% 233.17/45.18  | ALPHA: (ax5) implies:
% 233.17/45.18  |   (14)  op2(e20, unit2) = e20
% 233.17/45.18  |   (15)  op2(e21, unit2) = e21
% 233.17/45.18  |   (16)  op2(e22, unit2) = e22
% 233.17/45.18  |   (17)  op2(e23, unit2) = e23
% 233.17/45.18  |   (18)  op2(e24, unit2) = e24
% 233.17/45.18  |   (19)  op2(unit2, e20) = e20
% 233.17/45.18  |   (20)  op2(unit2, e21) = e21
% 233.17/45.18  |   (21)  op2(unit2, e22) = e22
% 233.17/45.18  |   (22)  op2(unit2, e23) = e23
% 233.17/45.18  |   (23)  op2(unit2, e24) = e24
% 233.17/45.18  |   (24)  unit2 = e24 | unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 233.17/45.18  | 
% 233.17/45.18  | ALPHA: (ax6) implies:
% 233.17/45.20  |   (25)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.20  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.20  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.20  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.20  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.20  |         :  ? [v24: $i] : (((v24 = e24 & op2(e24, e24) = e24) | (v23 = e24 &
% 233.17/45.20  |               op2(e24, e23) = e24) | (v20 = e24 & op2(e24, e22) = e24) | (v15
% 233.17/45.20  |               = e24 & op2(e24, e21) = e24) | (v8 = e24 & op2(e24, e20) = e24))
% 233.17/45.20  |           & ((v24 = e24 & op2(e24, e24) = e24) | (v22 = e24 & op2(e23, e24) =
% 233.17/45.20  |               e24) | (v18 = e24 & op2(e22, e24) = e24) | (v12 = e24 & op2(e21,
% 233.17/45.20  |                 e24) = e24) | (v4 = e24 & op2(e20, e24) = e24)) & ((v24 = e23
% 233.17/45.20  |               & op2(e24, e24) = e23) | (v23 = e23 & op2(e24, e23) = e23) |
% 233.17/45.20  |             (v20 = e23 & op2(e24, e22) = e23) | (v15 = e23 & op2(e24, e21) =
% 233.17/45.20  |               e23) | (v8 = e23 & op2(e24, e20) = e23)) & ((v24 = e23 &
% 233.17/45.20  |               op2(e24, e24) = e23) | (v22 = e23 & op2(e23, e24) = e23) | (v18
% 233.17/45.20  |               = e23 & op2(e22, e24) = e23) | (v12 = e23 & op2(e21, e24) = e23)
% 233.17/45.20  |             | (v4 = e23 & op2(e20, e24) = e23)) & ((v24 = e22 & op2(e24, e24)
% 233.17/45.20  |               = e22) | (v23 = e22 & op2(e24, e23) = e22) | (v20 = e22 &
% 233.17/45.20  |               op2(e24, e22) = e22) | (v15 = e22 & op2(e24, e21) = e22) | (v8 =
% 233.17/45.20  |               e22 & op2(e24, e20) = e22)) & ((v24 = e22 & op2(e24, e24) = e22)
% 233.17/45.20  |             | (v22 = e22 & op2(e23, e24) = e22) | (v18 = e22 & op2(e22, e24) =
% 233.17/45.20  |               e22) | (v12 = e22 & op2(e21, e24) = e22) | (v4 = e22 & op2(e20,
% 233.17/45.20  |                 e24) = e22)) & ((v24 = e21 & op2(e24, e24) = e21) | (v23 = e21
% 233.17/45.20  |               & op2(e24, e23) = e21) | (v20 = e21 & op2(e24, e22) = e21) |
% 233.17/45.20  |             (v15 = e21 & op2(e24, e21) = e21) | (v8 = e21 & op2(e24, e20) =
% 233.17/45.20  |               e21)) & ((v24 = e21 & op2(e24, e24) = e21) | (v22 = e21 &
% 233.17/45.20  |               op2(e23, e24) = e21) | (v18 = e21 & op2(e22, e24) = e21) | (v12
% 233.17/45.20  |               = e21 & op2(e21, e24) = e21) | (v4 = e21 & op2(e20, e24) = e21))
% 233.17/45.20  |           & ((v24 = e20 & op2(e24, e24) = e20) | (v23 = e20 & op2(e24, e23) =
% 233.17/45.20  |               e20) | (v20 = e20 & op2(e24, e22) = e20) | (v15 = e20 & op2(e24,
% 233.17/45.20  |                 e21) = e20) | (v8 = e20 & op2(e24, e20) = e20)) & ((v24 = e20
% 233.17/45.20  |               & op2(e24, e24) = e20) | (v22 = e20 & op2(e23, e24) = e20) |
% 233.17/45.20  |             (v18 = e20 & op2(e22, e24) = e20) | (v12 = e20 & op2(e21, e24) =
% 233.17/45.20  |               e20) | (v4 = e20 & op2(e20, e24) = e20)) & ((v23 = e24 &
% 233.17/45.20  |               op2(e24, e23) = e24) | (v21 = e24 & op2(e23, e23) = e24) | (v17
% 233.17/45.20  |               = e24 & op2(e22, e23) = e24) | (v11 = e24 & op2(e21, e23) = e24)
% 233.17/45.20  |             | (v3 = e24 & op2(e20, e23) = e24)) & ((v23 = e23 & op2(e24, e23)
% 233.17/45.20  |               = e23) | (v21 = e23 & op2(e23, e23) = e23) | (v17 = e23 &
% 233.17/45.20  |               op2(e22, e23) = e23) | (v11 = e23 & op2(e21, e23) = e23) | (v3 =
% 233.17/45.20  |               e23 & op2(e20, e23) = e23)) & ((v23 = e22 & op2(e24, e23) = e22)
% 233.17/45.20  |             | (v21 = e22 & op2(e23, e23) = e22) | (v17 = e22 & op2(e22, e23) =
% 233.17/45.20  |               e22) | (v11 = e22 & op2(e21, e23) = e22) | (v3 = e22 & op2(e20,
% 233.17/45.20  |                 e23) = e22)) & ((v23 = e21 & op2(e24, e23) = e21) | (v21 = e21
% 233.17/45.20  |               & op2(e23, e23) = e21) | (v17 = e21 & op2(e22, e23) = e21) |
% 233.17/45.20  |             (v11 = e21 & op2(e21, e23) = e21) | (v3 = e21 & op2(e20, e23) =
% 233.17/45.20  |               e21)) & ((v23 = e20 & op2(e24, e23) = e20) | (v21 = e20 &
% 233.17/45.20  |               op2(e23, e23) = e20) | (v17 = e20 & op2(e22, e23) = e20) | (v11
% 233.17/45.20  |               = e20 & op2(e21, e23) = e20) | (v3 = e20 & op2(e20, e23) = e20))
% 233.17/45.20  |           & ((v22 = e24 & op2(e23, e24) = e24) | (v21 = e24 & op2(e23, e23) =
% 233.17/45.20  |               e24) | (v19 = e24 & op2(e23, e22) = e24) | (v14 = e24 & op2(e23,
% 233.17/45.20  |                 e21) = e24) | (v7 = e24 & op2(e23, e20) = e24)) & ((v22 = e23
% 233.17/45.20  |               & op2(e23, e24) = e23) | (v21 = e23 & op2(e23, e23) = e23) |
% 233.17/45.20  |             (v19 = e23 & op2(e23, e22) = e23) | (v14 = e23 & op2(e23, e21) =
% 233.17/45.20  |               e23) | (v7 = e23 & op2(e23, e20) = e23)) & ((v22 = e22 &
% 233.17/45.20  |               op2(e23, e24) = e22) | (v21 = e22 & op2(e23, e23) = e22) | (v19
% 233.17/45.20  |               = e22 & op2(e23, e22) = e22) | (v14 = e22 & op2(e23, e21) = e22)
% 233.17/45.20  |             | (v7 = e22 & op2(e23, e20) = e22)) & ((v22 = e21 & op2(e23, e24)
% 233.17/45.20  |               = e21) | (v21 = e21 & op2(e23, e23) = e21) | (v19 = e21 &
% 233.17/45.20  |               op2(e23, e22) = e21) | (v14 = e21 & op2(e23, e21) = e21) | (v7 =
% 233.17/45.20  |               e21 & op2(e23, e20) = e21)) & ((v22 = e20 & op2(e23, e24) = e20)
% 233.17/45.20  |             | (v21 = e20 & op2(e23, e23) = e20) | (v19 = e20 & op2(e23, e22) =
% 233.17/45.20  |               e20) | (v14 = e20 & op2(e23, e21) = e20) | (v7 = e20 & op2(e23,
% 233.17/45.20  |                 e20) = e20)) & ((v20 = e24 & op2(e24, e22) = e24) | (v19 = e24
% 233.17/45.20  |               & op2(e23, e22) = e24) | (v16 = e24 & op2(e22, e22) = e24) |
% 233.17/45.20  |             (v10 = e24 & op2(e21, e22) = e24) | (v2 = e24 & op2(e20, e22) =
% 233.17/45.20  |               e24)) & ((v20 = e23 & op2(e24, e22) = e23) | (v19 = e23 &
% 233.17/45.20  |               op2(e23, e22) = e23) | (v16 = e23 & op2(e22, e22) = e23) | (v10
% 233.17/45.20  |               = e23 & op2(e21, e22) = e23) | (v2 = e23 & op2(e20, e22) = e23))
% 233.17/45.20  |           & ((v20 = e22 & op2(e24, e22) = e22) | (v19 = e22 & op2(e23, e22) =
% 233.17/45.20  |               e22) | (v16 = e22 & op2(e22, e22) = e22) | (v10 = e22 & op2(e21,
% 233.17/45.20  |                 e22) = e22) | (v2 = e22 & op2(e20, e22) = e22)) & ((v20 = e21
% 233.17/45.20  |               & op2(e24, e22) = e21) | (v19 = e21 & op2(e23, e22) = e21) |
% 233.17/45.20  |             (v16 = e21 & op2(e22, e22) = e21) | (v10 = e21 & op2(e21, e22) =
% 233.17/45.20  |               e21) | (v2 = e21 & op2(e20, e22) = e21)) & ((v20 = e20 &
% 233.17/45.20  |               op2(e24, e22) = e20) | (v19 = e20 & op2(e23, e22) = e20) | (v16
% 233.17/45.20  |               = e20 & op2(e22, e22) = e20) | (v10 = e20 & op2(e21, e22) = e20)
% 233.17/45.20  |             | (v2 = e20 & op2(e20, e22) = e20)) & ((v18 = e24 & op2(e22, e24)
% 233.17/45.20  |               = e24) | (v17 = e24 & op2(e22, e23) = e24) | (v16 = e24 &
% 233.17/45.20  |               op2(e22, e22) = e24) | (v13 = e24 & op2(e22, e21) = e24) | (v6 =
% 233.17/45.20  |               e24 & op2(e22, e20) = e24)) & ((v18 = e23 & op2(e22, e24) = e23)
% 233.17/45.20  |             | (v17 = e23 & op2(e22, e23) = e23) | (v16 = e23 & op2(e22, e22) =
% 233.17/45.20  |               e23) | (v13 = e23 & op2(e22, e21) = e23) | (v6 = e23 & op2(e22,
% 233.17/45.20  |                 e20) = e23)) & ((v18 = e22 & op2(e22, e24) = e22) | (v17 = e22
% 233.17/45.20  |               & op2(e22, e23) = e22) | (v16 = e22 & op2(e22, e22) = e22) |
% 233.17/45.20  |             (v13 = e22 & op2(e22, e21) = e22) | (v6 = e22 & op2(e22, e20) =
% 233.17/45.20  |               e22)) & ((v18 = e21 & op2(e22, e24) = e21) | (v17 = e21 &
% 233.17/45.20  |               op2(e22, e23) = e21) | (v16 = e21 & op2(e22, e22) = e21) | (v13
% 233.17/45.20  |               = e21 & op2(e22, e21) = e21) | (v6 = e21 & op2(e22, e20) = e21))
% 233.17/45.20  |           & ((v18 = e20 & op2(e22, e24) = e20) | (v17 = e20 & op2(e22, e23) =
% 233.17/45.20  |               e20) | (v16 = e20 & op2(e22, e22) = e20) | (v13 = e20 & op2(e22,
% 233.17/45.20  |                 e21) = e20) | (v6 = e20 & op2(e22, e20) = e20)) & ((v15 = e24
% 233.17/45.20  |               & op2(e24, e21) = e24) | (v14 = e24 & op2(e23, e21) = e24) |
% 233.17/45.20  |             (v13 = e24 & op2(e22, e21) = e24) | (v9 = e24 & op2(e21, e21) =
% 233.17/45.20  |               e24) | (v1 = e24 & op2(e20, e21) = e24)) & ((v15 = e23 &
% 233.17/45.20  |               op2(e24, e21) = e23) | (v14 = e23 & op2(e23, e21) = e23) | (v13
% 233.17/45.20  |               = e23 & op2(e22, e21) = e23) | (v9 = e23 & op2(e21, e21) = e23)
% 233.17/45.20  |             | (v1 = e23 & op2(e20, e21) = e23)) & ((v15 = e22 & op2(e24, e21)
% 233.17/45.20  |               = e22) | (v14 = e22 & op2(e23, e21) = e22) | (v13 = e22 &
% 233.17/45.20  |               op2(e22, e21) = e22) | (v9 = e22 & op2(e21, e21) = e22) | (v1 =
% 233.17/45.20  |               e22 & op2(e20, e21) = e22)) & ((v15 = e21 & op2(e24, e21) = e21)
% 233.17/45.20  |             | (v14 = e21 & op2(e23, e21) = e21) | (v13 = e21 & op2(e22, e21) =
% 233.17/45.20  |               e21) | (v9 = e21 & op2(e21, e21) = e21) | (v1 = e21 & op2(e20,
% 233.17/45.20  |                 e21) = e21)) & ((v15 = e20 & op2(e24, e21) = e20) | (v14 = e20
% 233.17/45.20  |               & op2(e23, e21) = e20) | (v13 = e20 & op2(e22, e21) = e20) | (v9
% 233.17/45.20  |               = e20 & op2(e21, e21) = e20) | (v1 = e20 & op2(e20, e21) = e20))
% 233.17/45.20  |           & ((v12 = e24 & op2(e21, e24) = e24) | (v11 = e24 & op2(e21, e23) =
% 233.17/45.20  |               e24) | (v10 = e24 & op2(e21, e22) = e24) | (v9 = e24 & op2(e21,
% 233.17/45.20  |                 e21) = e24) | (v5 = e24 & op2(e21, e20) = e24)) & ((v12 = e23
% 233.17/45.20  |               & op2(e21, e24) = e23) | (v11 = e23 & op2(e21, e23) = e23) |
% 233.17/45.20  |             (v10 = e23 & op2(e21, e22) = e23) | (v9 = e23 & op2(e21, e21) =
% 233.17/45.20  |               e23) | (v5 = e23 & op2(e21, e20) = e23)) & ((v12 = e22 &
% 233.17/45.20  |               op2(e21, e24) = e22) | (v11 = e22 & op2(e21, e23) = e22) | (v10
% 233.17/45.20  |               = e22 & op2(e21, e22) = e22) | (v9 = e22 & op2(e21, e21) = e22)
% 233.17/45.20  |             | (v5 = e22 & op2(e21, e20) = e22)) & ((v12 = e21 & op2(e21, e24)
% 233.17/45.20  |               = e21) | (v11 = e21 & op2(e21, e23) = e21) | (v10 = e21 &
% 233.17/45.20  |               op2(e21, e22) = e21) | (v9 = e21 & op2(e21, e21) = e21) | (v5 =
% 233.17/45.20  |               e21 & op2(e21, e20) = e21)) & ((v12 = e20 & op2(e21, e24) = e20)
% 233.17/45.20  |             | (v11 = e20 & op2(e21, e23) = e20) | (v10 = e20 & op2(e21, e22) =
% 233.17/45.20  |               e20) | (v9 = e20 & op2(e21, e21) = e20) | (v5 = e20 & op2(e21,
% 233.17/45.20  |                 e20) = e20)) & ((v8 = e24 & op2(e24, e20) = e24) | (v7 = e24 &
% 233.17/45.20  |               op2(e23, e20) = e24) | (v6 = e24 & op2(e22, e20) = e24) | (v5 =
% 233.17/45.20  |               e24 & op2(e21, e20) = e24) | (v0 = e24 & op2(e20, e20) = e24)) &
% 233.17/45.20  |           ((v8 = e23 & op2(e24, e20) = e23) | (v7 = e23 & op2(e23, e20) = e23)
% 233.17/45.20  |             | (v6 = e23 & op2(e22, e20) = e23) | (v5 = e23 & op2(e21, e20) =
% 233.17/45.20  |               e23) | (v0 = e23 & op2(e20, e20) = e23)) & ((v8 = e22 & op2(e24,
% 233.17/45.20  |                 e20) = e22) | (v7 = e22 & op2(e23, e20) = e22) | (v6 = e22 &
% 233.17/45.20  |               op2(e22, e20) = e22) | (v5 = e22 & op2(e21, e20) = e22) | (v0 =
% 233.17/45.20  |               e22 & op2(e20, e20) = e22)) & ((v8 = e21 & op2(e24, e20) = e21)
% 233.17/45.20  |             | (v7 = e21 & op2(e23, e20) = e21) | (v6 = e21 & op2(e22, e20) =
% 233.17/45.20  |               e21) | (v5 = e21 & op2(e21, e20) = e21) | (v0 = e21 & op2(e20,
% 233.17/45.20  |                 e20) = e21)) & ((v4 = e24 & op2(e20, e24) = e24) | (v3 = e24 &
% 233.17/45.20  |               op2(e20, e23) = e24) | (v2 = e24 & op2(e20, e22) = e24) | (v1 =
% 233.17/45.20  |               e24 & op2(e20, e21) = e24) | (v0 = e24 & op2(e20, e20) = e24)) &
% 233.17/45.20  |           ((v4 = e23 & op2(e20, e24) = e23) | (v3 = e23 & op2(e20, e23) = e23)
% 233.17/45.20  |             | (v2 = e23 & op2(e20, e22) = e23) | (v1 = e23 & op2(e20, e21) =
% 233.17/45.20  |               e23) | (v0 = e23 & op2(e20, e20) = e23)) & ((v4 = e22 & op2(e20,
% 233.17/45.20  |                 e24) = e22) | (v3 = e22 & op2(e20, e23) = e22) | (v2 = e22 &
% 233.17/45.20  |               op2(e20, e22) = e22) | (v1 = e22 & op2(e20, e21) = e22) | (v0 =
% 233.17/45.20  |               e22 & op2(e20, e20) = e22)) & ((v4 = e21 & op2(e20, e24) = e21)
% 233.17/45.20  |             | (v3 = e21 & op2(e20, e23) = e21) | (v2 = e21 & op2(e20, e22) =
% 233.17/45.20  |               e21) | (v1 = e21 & op2(e20, e21) = e21) | (v0 = e21 & op2(e20,
% 233.17/45.20  |                 e20) = e21)) & ((v0 = e20 & op2(e20, e20) = e20) | (((v8 = e20
% 233.17/45.20  |                   & op2(e24, e20) = e20) | (v7 = e20 & op2(e23, e20) = e20) |
% 233.17/45.20  |                 (v6 = e20 & op2(e22, e20) = e20) | (v5 = e20 & op2(e21, e20) =
% 233.17/45.20  |                   e20)) & ((v4 = e20 & op2(e20, e24) = e20) | (v3 = e20 &
% 233.17/45.20  |                   op2(e20, e23) = e20) | (v2 = e20 & op2(e20, e22) = e20) |
% 233.17/45.20  |                 (v1 = e20 & op2(e20, e21) = e20)))))
% 233.17/45.20  | 
% 233.17/45.20  | ALPHA: (ax7) implies:
% 233.17/45.21  |   (26)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.21  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.21  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.21  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.21  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.21  |         :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) & 
% 233.17/45.21  |           ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~
% 233.17/45.21  |           (v24 = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~
% 233.17/45.21  |           (v23 = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~
% 233.17/45.21  |           (v22 = v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~
% 233.17/45.21  |           (v22 = v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~
% 233.17/45.21  |           (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~
% 233.17/45.21  |           (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~
% 233.17/45.21  |           (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~
% 233.17/45.21  |           (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~
% 233.17/45.21  |           (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~
% 233.17/45.21  |           (v17 = v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~
% 233.17/45.21  |           (v17 = v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~
% 233.17/45.21  |           (v16 = v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~
% 233.17/45.21  |           (v14 = v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~
% 233.17/45.21  |           (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~
% 233.17/45.21  |           (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~
% 233.17/45.21  |           (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~
% 233.17/45.21  |           (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9
% 233.17/45.21  |             = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4)
% 233.17/45.21  |           &  ~ (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7
% 233.17/45.21  |             = v6) &  ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1)
% 233.17/45.21  |           &  ~ (v5 = v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4
% 233.17/45.21  |             = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1)
% 233.17/45.21  |           &  ~ (v2 = v0) &  ~ (v1 = v0) & op1(e14, e14) = v24 & op1(e14, e13)
% 233.17/45.21  |           = v19 & op1(e14, e12) = v14 & op1(e14, e11) = v9 & op1(e14, e10) =
% 233.17/45.21  |           v4 & op1(e13, e14) = v23 & op1(e13, e13) = v18 & op1(e13, e12) = v13
% 233.17/45.21  |           & op1(e13, e11) = v8 & op1(e13, e10) = v3 & op1(e12, e14) = v22 &
% 233.17/45.21  |           op1(e12, e13) = v17 & op1(e12, e12) = v12 & op1(e12, e11) = v7 &
% 233.17/45.21  |           op1(e12, e10) = v2 & op1(e11, e14) = v21 & op1(e11, e13) = v16 &
% 233.17/45.21  |           op1(e11, e12) = v11 & op1(e11, e11) = v6 & op1(e11, e10) = v1 &
% 233.17/45.21  |           op1(e10, e14) = v20 & op1(e10, e13) = v15 & op1(e10, e12) = v10 &
% 233.17/45.21  |           op1(e10, e11) = v5 & op1(e10, e10) = v0 & $i(v24) & $i(v23) &
% 233.17/45.21  |           $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)
% 233.17/45.21  |           & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 233.17/45.21  |           & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 233.17/45.21  |           $i(v1) & $i(v0))
% 233.17/45.21  | 
% 233.17/45.21  | ALPHA: (ax8) implies:
% 233.17/45.21  |   (27)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.21  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.21  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.21  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.21  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.21  |         :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) & 
% 233.17/45.21  |           ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~
% 233.17/45.21  |           (v24 = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~
% 233.17/45.21  |           (v23 = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~
% 233.17/45.21  |           (v22 = v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~
% 233.17/45.21  |           (v22 = v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~
% 233.17/45.21  |           (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~
% 233.17/45.21  |           (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~
% 233.17/45.21  |           (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~
% 233.17/45.21  |           (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~
% 233.17/45.21  |           (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~
% 233.17/45.21  |           (v17 = v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~
% 233.17/45.21  |           (v17 = v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~
% 233.17/45.21  |           (v16 = v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~
% 233.17/45.21  |           (v14 = v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~
% 233.17/45.21  |           (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~
% 233.17/45.21  |           (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~
% 233.17/45.21  |           (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~
% 233.17/45.21  |           (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9
% 233.17/45.21  |             = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4)
% 233.17/45.21  |           &  ~ (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7
% 233.17/45.21  |             = v6) &  ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1)
% 233.17/45.21  |           &  ~ (v5 = v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4
% 233.17/45.21  |             = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1)
% 233.17/45.21  |           &  ~ (v2 = v0) &  ~ (v1 = v0) & op2(e24, e24) = v24 & op2(e24, e23)
% 233.17/45.21  |           = v19 & op2(e24, e22) = v14 & op2(e24, e21) = v9 & op2(e24, e20) =
% 233.17/45.21  |           v4 & op2(e23, e24) = v23 & op2(e23, e23) = v18 & op2(e23, e22) = v13
% 233.17/45.21  |           & op2(e23, e21) = v8 & op2(e23, e20) = v3 & op2(e22, e24) = v22 &
% 233.17/45.21  |           op2(e22, e23) = v17 & op2(e22, e22) = v12 & op2(e22, e21) = v7 &
% 233.17/45.21  |           op2(e22, e20) = v2 & op2(e21, e24) = v21 & op2(e21, e23) = v16 &
% 233.17/45.21  |           op2(e21, e22) = v11 & op2(e21, e21) = v6 & op2(e21, e20) = v1 &
% 233.17/45.21  |           op2(e20, e24) = v20 & op2(e20, e23) = v15 & op2(e20, e22) = v10 &
% 233.17/45.21  |           op2(e20, e21) = v5 & op2(e20, e20) = v0 & $i(v24) & $i(v23) &
% 233.17/45.21  |           $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)
% 233.17/45.21  |           & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 233.17/45.21  |           & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 233.17/45.21  |           $i(v1) & $i(v0))
% 233.17/45.21  | 
% 233.17/45.21  | ALPHA: (ax9) implies:
% 233.17/45.21  |   (28)   ~ (e12 = e10)
% 233.17/45.21  |   (29)   ~ (e13 = e10)
% 233.17/45.21  |   (30)   ~ (e13 = e11)
% 233.17/45.21  |   (31)   ~ (e13 = e12)
% 233.17/45.21  |   (32)   ~ (e14 = e12)
% 233.17/45.21  |   (33)   ~ (e14 = e13)
% 233.17/45.21  | 
% 233.17/45.21  | ALPHA: (ax10) implies:
% 233.17/45.21  |   (34)   ~ (e22 = e20)
% 233.17/45.21  |   (35)   ~ (e23 = e20)
% 233.17/45.21  |   (36)   ~ (e23 = e21)
% 233.17/45.21  |   (37)   ~ (e23 = e22)
% 233.17/45.21  |   (38)   ~ (e24 = e22)
% 233.17/45.21  |   (39)   ~ (e24 = e23)
% 233.17/45.21  | 
% 233.17/45.21  | ALPHA: (ax12) implies:
% 233.17/45.22  |   (40)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.17/45.22  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.17/45.22  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.17/45.22  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.17/45.22  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.17/45.22  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 233.17/45.22  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 233.17/45.22  |         [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i]
% 233.17/45.22  |         :  ? [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42:
% 233.17/45.22  |           $i] :  ? [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ?
% 233.17/45.22  |         [v47: $i] :  ? [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i]
% 233.17/45.22  |         :  ? [v52: $i] :  ? [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56:
% 233.17/45.22  |           $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59: $i] : ((v58 = e14 &  ~
% 233.17/45.22  |             (v59 = e13) &  ~ (v49 = v48) & op1(v48, e14) = v59 & op1(v48, e13)
% 233.17/45.22  |             = e14 & op1(e14, e13) = v48 & op1(e13, e14) = v49 & $i(v59) &
% 233.17/45.22  |             $i(v49) & $i(v48)) | (v56 = e14 &  ~ (v57 = e12) &  ~ (v39 = v38)
% 233.17/45.22  |             & op1(v38, e14) = v57 & op1(v38, e12) = e14 & op1(e14, e12) = v38
% 233.17/45.22  |             & op1(e12, e14) = v39 & $i(v57) & $i(v39) & $i(v38)) | (v54 = e14
% 233.17/45.22  |             &  ~ (v55 = e11) &  ~ (v27 = v26) & op1(v26, e14) = v55 & op1(v26,
% 233.17/45.22  |               e11) = e14 & op1(e14, e11) = v26 & op1(e11, e14) = v27 & $i(v55)
% 233.17/45.22  |             & $i(v27) & $i(v26)) | (v52 = e14 &  ~ (v53 = e10) &  ~ (v13 =
% 233.17/45.22  |               v12) & op1(v12, e14) = v53 & op1(v12, e10) = e14 & op1(e14, e10)
% 233.17/45.22  |             = v12 & op1(e10, e14) = v13 & $i(v53) & $i(v13) & $i(v12)) | (v50
% 233.17/45.22  |             = e13 &  ~ (v51 = e14) &  ~ (v49 = v48) & op1(v49, e14) = e13 &
% 233.17/45.22  |             op1(v49, e13) = v51 & op1(e14, e13) = v48 & op1(e13, e14) = v49 &
% 233.17/45.22  |             $i(v51) & $i(v49) & $i(v48)) | (v46 = e13 &  ~ (v47 = e12) &  ~
% 233.17/45.22  |             (v35 = v34) & op1(v34, e13) = v47 & op1(v34, e12) = e13 & op1(e13,
% 233.17/45.22  |               e12) = v34 & op1(e12, e13) = v35 & $i(v47) & $i(v35) & $i(v34))
% 233.17/45.22  |           | (v44 = e13 &  ~ (v45 = e11) &  ~ (v23 = v22) & op1(v22, e13) = v45
% 233.17/45.22  |             & op1(v22, e11) = e13 & op1(e13, e11) = v22 & op1(e11, e13) = v23
% 233.17/45.22  |             & $i(v45) & $i(v23) & $i(v22)) | (v42 = e13 &  ~ (v43 = e10) &  ~
% 233.17/45.22  |             (v9 = v8) & op1(v8, e13) = v43 & op1(v8, e10) = e13 & op1(e13,
% 233.17/45.22  |               e10) = v8 & op1(e10, e13) = v9 & $i(v43) & $i(v9) & $i(v8)) |
% 233.17/45.22  |           (v40 = e12 &  ~ (v41 = e14) &  ~ (v39 = v38) & op1(v39, e14) = e12 &
% 233.17/45.22  |             op1(v39, e12) = v41 & op1(e14, e12) = v38 & op1(e12, e14) = v39 &
% 233.17/45.22  |             $i(v41) & $i(v39) & $i(v38)) | (v36 = e12 &  ~ (v37 = e13) &  ~
% 233.17/45.22  |             (v35 = v34) & op1(v35, e13) = e12 & op1(v35, e12) = v37 & op1(e13,
% 233.17/45.22  |               e12) = v34 & op1(e12, e13) = v35 & $i(v37) & $i(v35) & $i(v34))
% 233.17/45.22  |           | (v32 = e12 &  ~ (v33 = e11) &  ~ (v19 = v18) & op1(v18, e12) = v33
% 233.17/45.22  |             & op1(v18, e11) = e12 & op1(e12, e11) = v18 & op1(e11, e12) = v19
% 233.17/45.22  |             & $i(v33) & $i(v19) & $i(v18)) | (v30 = e12 &  ~ (v31 = e10) &  ~
% 233.17/45.22  |             (v5 = v4) & op1(v4, e12) = v31 & op1(v4, e10) = e12 & op1(e12,
% 233.17/45.22  |               e10) = v4 & op1(e10, e12) = v5 & $i(v31) & $i(v5) & $i(v4)) |
% 233.17/45.22  |           (v28 = e11 &  ~ (v29 = e14) &  ~ (v27 = v26) & op1(v27, e14) = e11 &
% 233.17/45.22  |             op1(v27, e11) = v29 & op1(e14, e11) = v26 & op1(e11, e14) = v27 &
% 233.17/45.22  |             $i(v29) & $i(v27) & $i(v26)) | (v24 = e11 &  ~ (v25 = e13) &  ~
% 233.17/45.22  |             (v23 = v22) & op1(v23, e13) = e11 & op1(v23, e11) = v25 & op1(e13,
% 233.17/45.22  |               e11) = v22 & op1(e11, e13) = v23 & $i(v25) & $i(v23) & $i(v22))
% 233.17/45.22  |           | (v20 = e11 &  ~ (v21 = e12) &  ~ (v19 = v18) & op1(v19, e12) = e11
% 233.17/45.22  |             & op1(v19, e11) = v21 & op1(e12, e11) = v18 & op1(e11, e12) = v19
% 233.17/45.22  |             & $i(v21) & $i(v19) & $i(v18)) | (v16 = e11 &  ~ (v17 = e10) &  ~
% 233.17/45.22  |             (v1 = v0) & op1(v0, e11) = v17 & op1(v0, e10) = e11 & op1(e11,
% 233.17/45.22  |               e10) = v0 & op1(e10, e11) = v1 & $i(v17) & $i(v1) & $i(v0)) |
% 233.17/45.22  |           (v14 = e10 &  ~ (v15 = e14) &  ~ (v13 = v12) & op1(v13, e14) = e10 &
% 233.17/45.22  |             op1(v13, e10) = v15 & op1(e14, e10) = v12 & op1(e10, e14) = v13 &
% 233.17/45.22  |             $i(v15) & $i(v13) & $i(v12)) | (v10 = e10 &  ~ (v11 = e13) &  ~
% 233.17/45.22  |             (v9 = v8) & op1(v9, e13) = e10 & op1(v9, e10) = v11 & op1(e13,
% 233.17/45.22  |               e10) = v8 & op1(e10, e13) = v9 & $i(v11) & $i(v9) & $i(v8)) |
% 233.17/45.22  |           (v6 = e10 &  ~ (v7 = e12) &  ~ (v5 = v4) & op1(v5, e12) = e10 &
% 233.17/45.22  |             op1(v5, e10) = v7 & op1(e12, e10) = v4 & op1(e10, e12) = v5 &
% 233.17/45.22  |             $i(v7) & $i(v5) & $i(v4)) | (v2 = e10 &  ~ (v3 = e11) &  ~ (v1 =
% 233.17/45.22  |               v0) & op1(v1, e11) = e10 & op1(v1, e10) = v3 & op1(e11, e10) =
% 233.17/45.22  |             v0 & op1(e10, e11) = v1 & $i(v3) & $i(v1) & $i(v0)))
% 233.17/45.22  | 
% 233.17/45.22  | ALPHA: (ax13) implies:
% 233.38/45.23  |   (41)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.38/45.23  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.38/45.23  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.38/45.23  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.38/45.23  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.38/45.23  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 233.38/45.23  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 233.38/45.23  |         [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i]
% 233.38/45.23  |         :  ? [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42:
% 233.38/45.23  |           $i] :  ? [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ?
% 233.38/45.23  |         [v47: $i] :  ? [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i]
% 233.38/45.23  |         :  ? [v52: $i] :  ? [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56:
% 233.38/45.23  |           $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59: $i] : ((v58 = e24 &  ~
% 233.38/45.23  |             (v59 = e23) &  ~ (v49 = v48) & op2(v48, e24) = v59 & op2(v48, e23)
% 233.38/45.23  |             = e24 & op2(e24, e23) = v48 & op2(e23, e24) = v49 & $i(v59) &
% 233.38/45.23  |             $i(v49) & $i(v48)) | (v56 = e24 &  ~ (v57 = e22) &  ~ (v39 = v38)
% 233.38/45.23  |             & op2(v38, e24) = v57 & op2(v38, e22) = e24 & op2(e24, e22) = v38
% 233.38/45.23  |             & op2(e22, e24) = v39 & $i(v57) & $i(v39) & $i(v38)) | (v54 = e24
% 233.38/45.23  |             &  ~ (v55 = e21) &  ~ (v27 = v26) & op2(v26, e24) = v55 & op2(v26,
% 233.38/45.23  |               e21) = e24 & op2(e24, e21) = v26 & op2(e21, e24) = v27 & $i(v55)
% 233.38/45.23  |             & $i(v27) & $i(v26)) | (v52 = e24 &  ~ (v53 = e20) &  ~ (v13 =
% 233.38/45.23  |               v12) & op2(v12, e24) = v53 & op2(v12, e20) = e24 & op2(e24, e20)
% 233.38/45.23  |             = v12 & op2(e20, e24) = v13 & $i(v53) & $i(v13) & $i(v12)) | (v50
% 233.38/45.23  |             = e23 &  ~ (v51 = e24) &  ~ (v49 = v48) & op2(v49, e24) = e23 &
% 233.38/45.23  |             op2(v49, e23) = v51 & op2(e24, e23) = v48 & op2(e23, e24) = v49 &
% 233.38/45.23  |             $i(v51) & $i(v49) & $i(v48)) | (v46 = e23 &  ~ (v47 = e22) &  ~
% 233.38/45.23  |             (v35 = v34) & op2(v34, e23) = v47 & op2(v34, e22) = e23 & op2(e23,
% 233.38/45.23  |               e22) = v34 & op2(e22, e23) = v35 & $i(v47) & $i(v35) & $i(v34))
% 233.38/45.23  |           | (v44 = e23 &  ~ (v45 = e21) &  ~ (v23 = v22) & op2(v22, e23) = v45
% 233.38/45.23  |             & op2(v22, e21) = e23 & op2(e23, e21) = v22 & op2(e21, e23) = v23
% 233.38/45.23  |             & $i(v45) & $i(v23) & $i(v22)) | (v42 = e23 &  ~ (v43 = e20) &  ~
% 233.38/45.23  |             (v9 = v8) & op2(v8, e23) = v43 & op2(v8, e20) = e23 & op2(e23,
% 233.38/45.23  |               e20) = v8 & op2(e20, e23) = v9 & $i(v43) & $i(v9) & $i(v8)) |
% 233.38/45.23  |           (v40 = e22 &  ~ (v41 = e24) &  ~ (v39 = v38) & op2(v39, e24) = e22 &
% 233.38/45.23  |             op2(v39, e22) = v41 & op2(e24, e22) = v38 & op2(e22, e24) = v39 &
% 233.38/45.23  |             $i(v41) & $i(v39) & $i(v38)) | (v36 = e22 &  ~ (v37 = e23) &  ~
% 233.38/45.23  |             (v35 = v34) & op2(v35, e23) = e22 & op2(v35, e22) = v37 & op2(e23,
% 233.38/45.23  |               e22) = v34 & op2(e22, e23) = v35 & $i(v37) & $i(v35) & $i(v34))
% 233.38/45.23  |           | (v32 = e22 &  ~ (v33 = e21) &  ~ (v19 = v18) & op2(v18, e22) = v33
% 233.38/45.23  |             & op2(v18, e21) = e22 & op2(e22, e21) = v18 & op2(e21, e22) = v19
% 233.38/45.23  |             & $i(v33) & $i(v19) & $i(v18)) | (v30 = e22 &  ~ (v31 = e20) &  ~
% 233.38/45.23  |             (v5 = v4) & op2(v4, e22) = v31 & op2(v4, e20) = e22 & op2(e22,
% 233.38/45.23  |               e20) = v4 & op2(e20, e22) = v5 & $i(v31) & $i(v5) & $i(v4)) |
% 233.38/45.23  |           (v28 = e21 &  ~ (v29 = e24) &  ~ (v27 = v26) & op2(v27, e24) = e21 &
% 233.38/45.23  |             op2(v27, e21) = v29 & op2(e24, e21) = v26 & op2(e21, e24) = v27 &
% 233.38/45.23  |             $i(v29) & $i(v27) & $i(v26)) | (v24 = e21 &  ~ (v25 = e23) &  ~
% 233.38/45.23  |             (v23 = v22) & op2(v23, e23) = e21 & op2(v23, e21) = v25 & op2(e23,
% 233.38/45.23  |               e21) = v22 & op2(e21, e23) = v23 & $i(v25) & $i(v23) & $i(v22))
% 233.38/45.23  |           | (v20 = e21 &  ~ (v21 = e22) &  ~ (v19 = v18) & op2(v19, e22) = e21
% 233.38/45.23  |             & op2(v19, e21) = v21 & op2(e22, e21) = v18 & op2(e21, e22) = v19
% 233.38/45.23  |             & $i(v21) & $i(v19) & $i(v18)) | (v16 = e21 &  ~ (v17 = e20) &  ~
% 233.38/45.23  |             (v1 = v0) & op2(v0, e21) = v17 & op2(v0, e20) = e21 & op2(e21,
% 233.38/45.23  |               e20) = v0 & op2(e20, e21) = v1 & $i(v17) & $i(v1) & $i(v0)) |
% 233.38/45.23  |           (v14 = e20 &  ~ (v15 = e24) &  ~ (v13 = v12) & op2(v13, e24) = e20 &
% 233.38/45.23  |             op2(v13, e20) = v15 & op2(e24, e20) = v12 & op2(e20, e24) = v13 &
% 233.38/45.23  |             $i(v15) & $i(v13) & $i(v12)) | (v10 = e20 &  ~ (v11 = e23) &  ~
% 233.38/45.23  |             (v9 = v8) & op2(v9, e23) = e20 & op2(v9, e20) = v11 & op2(e23,
% 233.38/45.23  |               e20) = v8 & op2(e20, e23) = v9 & $i(v11) & $i(v9) & $i(v8)) |
% 233.38/45.23  |           (v6 = e20 &  ~ (v7 = e22) &  ~ (v5 = v4) & op2(v5, e22) = e20 &
% 233.38/45.23  |             op2(v5, e20) = v7 & op2(e22, e20) = v4 & op2(e20, e22) = v5 &
% 233.38/45.23  |             $i(v7) & $i(v5) & $i(v4)) | (v2 = e20 &  ~ (v3 = e21) &  ~ (v1 =
% 233.38/45.23  |               v0) & op2(v1, e21) = e20 & op2(v1, e20) = v3 & op2(e21, e20) =
% 233.38/45.23  |             v0 & op2(e20, e21) = v1 & $i(v3) & $i(v1) & $i(v0)))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax14) implies:
% 233.38/45.23  |   (42)  op1(e13, e11) = e14
% 233.38/45.23  |   (43)  op1(e13, e12) = e10
% 233.38/45.23  |   (44)  op1(e13, e13) = e11
% 233.38/45.23  |   (45)  op1(e14, e13) = e12
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax15) implies:
% 233.38/45.23  |   (46)  op2(e23, e21) = e24
% 233.38/45.23  |   (47)  op2(e23, e22) = e20
% 233.38/45.23  |   (48)  op2(e23, e23) = e21
% 233.38/45.23  |   (49)  op2(e24, e23) = e22
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax16) implies:
% 233.38/45.23  |   (50)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h1(e14) = v2
% 233.38/45.23  |           & h1(e13) = e20 & h1(e12) = v3 & h1(e11) = v1 & h1(e10) = v0 &
% 233.38/45.23  |           op2(v2, e20) = v3 & op2(e20, v3) = v0 & op2(e20, v1) = v2 & op2(e20,
% 233.38/45.23  |             e20) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax17) implies:
% 233.38/45.23  |   (51)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h2(e14) = v2
% 233.38/45.23  |           & h2(e13) = e21 & h2(e12) = v3 & h2(e11) = v1 & h2(e10) = v0 &
% 233.38/45.23  |           op2(v2, e21) = v3 & op2(e21, v3) = v0 & op2(e21, v1) = v2 & op2(e21,
% 233.38/45.23  |             e21) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax18) implies:
% 233.38/45.23  |   (52)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h3(e14) = v2
% 233.38/45.23  |           & h3(e13) = e22 & h3(e12) = v3 & h3(e11) = v1 & h3(e10) = v0 &
% 233.38/45.23  |           op2(v2, e22) = v3 & op2(e22, v3) = v0 & op2(e22, v1) = v2 & op2(e22,
% 233.38/45.23  |             e22) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax19) implies:
% 233.38/45.23  |   (53)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h4(e14) = v2
% 233.38/45.23  |           & h4(e13) = e23 & h4(e12) = v3 & h4(e11) = v1 & h4(e10) = v0 &
% 233.38/45.23  |           op2(v2, e23) = v3 & op2(e23, v3) = v0 & op2(e23, v1) = v2 & op2(e23,
% 233.38/45.23  |             e23) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (ax20) implies:
% 233.38/45.23  |   (54)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (h5(e14) = v2
% 233.38/45.23  |           & h5(e13) = e24 & h5(e12) = v3 & h5(e11) = v1 & h5(e10) = v0 &
% 233.38/45.23  |           op2(v2, e24) = v3 & op2(e24, v3) = v0 & op2(e24, v1) = v2 & op2(e24,
% 233.38/45.23  |             e24) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.38/45.23  | 
% 233.38/45.23  | ALPHA: (co1) implies:
% 233.48/45.29  |   (55)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 233.48/45.29  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 233.48/45.29  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 233.48/45.29  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 233.48/45.29  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 233.48/45.29  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 233.48/45.29  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 233.48/45.29  |         [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i]
% 233.48/45.29  |         :  ? [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42:
% 233.48/45.29  |           $i] :  ? [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ?
% 233.48/45.29  |         [v47: $i] :  ? [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i]
% 233.48/45.29  |         :  ? [v52: $i] :  ? [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56:
% 233.48/45.29  |           $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59: $i] :  ? [v60: $i] :  ?
% 233.48/45.29  |         [v61: $i] :  ? [v62: $i] :  ? [v63: $i] :  ? [v64: $i] :  ? [v65: $i]
% 233.48/45.29  |         :  ? [v66: $i] :  ? [v67: $i] :  ? [v68: $i] :  ? [v69: $i] :  ? [v70:
% 233.48/45.29  |           $i] :  ? [v71: $i] :  ? [v72: $i] :  ? [v73: $i] :  ? [v74: $i] :  ?
% 233.48/45.29  |         [v75: $i] :  ? [v76: $i] :  ? [v77: $i] :  ? [v78: $i] :  ? [v79: $i]
% 233.48/45.29  |         :  ? [v80: $i] :  ? [v81: $i] :  ? [v82: $i] :  ? [v83: $i] :  ? [v84:
% 233.48/45.29  |           $i] :  ? [v85: $i] :  ? [v86: $i] :  ? [v87: $i] :  ? [v88: $i] :  ?
% 233.48/45.29  |         [v89: $i] :  ? [v90: $i] :  ? [v91: $i] :  ? [v92: $i] :  ? [v93: $i]
% 233.48/45.29  |         :  ? [v94: $i] :  ? [v95: $i] :  ? [v96: $i] :  ? [v97: $i] :  ? [v98:
% 233.48/45.29  |           $i] :  ? [v99: $i] :  ? [v100: $i] :  ? [v101: $i] :  ? [v102: $i] :
% 233.48/45.29  |          ? [v103: $i] :  ? [v104: $i] :  ? [v105: $i] :  ? [v106: $i] :  ?
% 233.48/45.29  |         [v107: $i] :  ? [v108: $i] :  ? [v109: $i] :  ? [v110: $i] :  ? [v111:
% 233.48/45.29  |           $i] :  ? [v112: $i] :  ? [v113: $i] :  ? [v114: $i] :  ? [v115: $i]
% 233.48/45.29  |         :  ? [v116: $i] :  ? [v117: $i] :  ? [v118: $i] :  ? [v119: $i] :  ?
% 233.48/45.29  |         [v120: $i] :  ? [v121: $i] :  ? [v122: $i] :  ? [v123: $i] :  ? [v124:
% 233.48/45.29  |           $i] :  ? [v125: $i] :  ? [v126: $i] :  ? [v127: $i] :  ? [v128: $i]
% 233.48/45.29  |         :  ? [v129: $i] :  ? [v130: $i] :  ? [v131: $i] :  ? [v132: $i] :  ?
% 233.48/45.29  |         [v133: $i] :  ? [v134: $i] :  ? [v135: $i] :  ? [v136: $i] :  ? [v137:
% 233.48/45.29  |           $i] :  ? [v138: $i] :  ? [v139: $i] :  ? [v140: $i] :  ? [v141: $i]
% 233.48/45.29  |         :  ? [v142: $i] :  ? [v143: $i] :  ? [v144: $i] :  ? [v145: $i] :  ?
% 233.48/45.29  |         [v146: $i] :  ? [v147: $i] :  ? [v148: $i] :  ? [v149: $i] :  ? [v150:
% 233.48/45.29  |           $i] :  ? [v151: $i] :  ? [v152: $i] :  ? [v153: $i] :  ? [v154: $i]
% 233.48/45.29  |         :  ? [v155: $i] :  ? [v156: $i] :  ? [v157: $i] :  ? [v158: $i] :  ?
% 233.48/45.29  |         [v159: $i] :  ? [v160: $i] :  ? [v161: $i] :  ? [v162: $i] :  ? [v163:
% 233.48/45.29  |           $i] :  ? [v164: $i] :  ? [v165: $i] :  ? [v166: $i] :  ? [v167: $i]
% 233.48/45.29  |         :  ? [v168: $i] :  ? [v169: $i] :  ? [v170: $i] :  ? [v171: $i] :  ?
% 233.48/45.29  |         [v172: $i] :  ? [v173: $i] :  ? [v174: $i] :  ? [v175: $i] :  ? [v176:
% 233.48/45.29  |           $i] :  ? [v177: $i] :  ? [v178: $i] :  ? [v179: $i] :  ? [v180: $i]
% 233.48/45.29  |         :  ? [v181: $i] :  ? [v182: $i] :  ? [v183: $i] :  ? [v184: $i] :  ?
% 233.48/45.29  |         [v185: $i] :  ? [v186: $i] :  ? [v187: $i] :  ? [v188: $i] :  ? [v189:
% 233.48/45.29  |           $i] :  ? [v190: $i] :  ? [v191: $i] :  ? [v192: $i] :  ? [v193: $i]
% 233.48/45.29  |         :  ? [v194: $i] :  ? [v195: $i] :  ? [v196: $i] :  ? [v197: $i] :  ?
% 233.48/45.29  |         [v198: $i] :  ? [v199: $i] :  ? [v200: $i] :  ? [v201: $i] :  ? [v202:
% 233.48/45.29  |           $i] :  ? [v203: $i] :  ? [v204: $i] :  ? [v205: $i] :  ? [v206: $i]
% 233.48/45.29  |         :  ? [v207: $i] :  ? [v208: $i] :  ? [v209: $i] :  ? [v210: $i] :  ?
% 233.48/45.29  |         [v211: $i] :  ? [v212: $i] :  ? [v213: $i] :  ? [v214: $i] :  ? [v215:
% 233.48/45.29  |           $i] :  ? [v216: $i] :  ? [v217: $i] :  ? [v218: $i] :  ? [v219: $i]
% 233.48/45.29  |         :  ? [v220: $i] :  ? [v221: $i] :  ? [v222: $i] :  ? [v223: $i] :  ?
% 233.48/45.29  |         [v224: $i] :  ? [v225: $i] :  ? [v226: $i] :  ? [v227: $i] :  ? [v228:
% 233.48/45.29  |           $i] :  ? [v229: $i] :  ? [v230: $i] :  ? [v231: $i] :  ? [v232: $i]
% 233.48/45.29  |         :  ? [v233: $i] :  ? [v234: $i] :  ? [v235: $i] :  ? [v236: $i] :  ?
% 233.48/45.29  |         [v237: $i] :  ? [v238: $i] :  ? [v239: $i] :  ? [v240: $i] :  ? [v241:
% 233.48/45.29  |           $i] :  ? [v242: $i] :  ? [v243: $i] :  ? [v244: $i] :  ? [v245: $i]
% 233.48/45.29  |         :  ? [v246: $i] :  ? [v247: $i] :  ? [v248: $i] :  ? [v249: $i] :  ?
% 233.48/45.29  |         [v250: $i] :  ? [v251: $i] :  ? [v252: $i] :  ? [v253: $i] :  ? [v254:
% 233.48/45.29  |           $i] :  ? [v255: $i] :  ? [v256: $i] :  ? [v257: $i] :  ? [v258: $i]
% 233.48/45.29  |         :  ? [v259: $i] :  ? [v260: $i] :  ? [v261: $i] :  ? [v262: $i] :  ?
% 233.48/45.29  |         [v263: $i] :  ? [v264: $i] :  ? [v265: $i] :  ? [v266: $i] :  ? [v267:
% 233.48/45.29  |           $i] :  ? [v268: $i] :  ? [v269: $i] :  ? [v270: $i] :  ? [v271: $i]
% 233.48/45.29  |         :  ? [v272: $i] :  ? [v273: $i] :  ? [v274: $i] :  ? [v275: $i] :  ?
% 233.48/45.29  |         [v276: $i] :  ? [v277: $i] :  ? [v278: $i] :  ? [v279: $i] :  ? [v280:
% 233.48/45.29  |           $i] :  ? [v281: $i] :  ? [v282: $i] :  ? [v283: $i] :  ? [v284: $i]
% 233.48/45.29  |         :  ? [v285: $i] :  ? [v286: $i] :  ? [v287: $i] :  ? [v288: $i] :  ?
% 233.48/45.29  |         [v289: $i] :  ? [v290: $i] :  ? [v291: $i] :  ? [v292: $i] :  ? [v293:
% 233.48/45.29  |           $i] :  ? [v294: $i] :  ? [v295: $i] :  ? [v296: $i] :  ? [v297: $i]
% 233.48/45.29  |         :  ? [v298: $i] :  ? [v299: $i] : ((( ~ (v299 = v298) & h5(v77) = v298
% 233.48/45.29  |               & h5(e14) = v258 & op2(v258, v258) = v299 & op1(e14, e14) = v77
% 233.48/45.29  |               & $i(v299) & $i(v298) & $i(v258) & $i(v77)) | ( ~ (v297 = v296)
% 233.48/45.29  |               & h5(v74) = v296 & h5(e14) = v258 & h5(e13) = v255 & op2(v258,
% 233.48/45.29  |                 v255) = v297 & op1(e14, e13) = v74 & $i(v297) & $i(v296) &
% 233.48/45.29  |               $i(v258) & $i(v255) & $i(v74)) | ( ~ (v295 = v294) & h5(v71) =
% 233.48/45.29  |               v294 & h5(e14) = v258 & h5(e12) = v252 & op2(v258, v252) = v295
% 233.48/45.29  |               & op1(e14, e12) = v71 & $i(v295) & $i(v294) & $i(v258) &
% 233.48/45.29  |               $i(v252) & $i(v71)) | ( ~ (v293 = v292) & h5(v68) = v292 &
% 233.48/45.29  |               h5(e14) = v258 & h5(e11) = v249 & op2(v258, v249) = v293 &
% 233.48/45.29  |               op1(e14, e11) = v68 & $i(v293) & $i(v292) & $i(v258) & $i(v249)
% 233.48/45.29  |               & $i(v68)) | ( ~ (v291 = v290) & h5(v65) = v290 & h5(e14) = v258
% 233.48/45.29  |               & h5(e10) = v246 & op2(v258, v246) = v291 & op1(e14, e10) = v65
% 233.48/45.29  |               & $i(v291) & $i(v290) & $i(v258) & $i(v246) & $i(v65)) | ( ~
% 233.48/45.29  |               (v289 = v288) & h5(v62) = v288 & h5(e14) = v258 & h5(e13) = v255
% 233.48/45.29  |               & op2(v255, v258) = v289 & op1(e13, e14) = v62 & $i(v289) &
% 233.48/45.29  |               $i(v288) & $i(v258) & $i(v255) & $i(v62)) | ( ~ (v287 = v286) &
% 233.48/45.29  |               h5(v59) = v286 & h5(e13) = v255 & op2(v255, v255) = v287 &
% 233.48/45.29  |               op1(e13, e13) = v59 & $i(v287) & $i(v286) & $i(v255) & $i(v59))
% 233.48/45.29  |             | ( ~ (v285 = v284) & h5(v56) = v284 & h5(e13) = v255 & h5(e12) =
% 233.48/45.29  |               v252 & op2(v255, v252) = v285 & op1(e13, e12) = v56 & $i(v285) &
% 233.48/45.29  |               $i(v284) & $i(v255) & $i(v252) & $i(v56)) | ( ~ (v283 = v282) &
% 233.48/45.29  |               h5(v53) = v282 & h5(e13) = v255 & h5(e11) = v249 & op2(v255,
% 233.48/45.29  |                 v249) = v283 & op1(e13, e11) = v53 & $i(v283) & $i(v282) &
% 233.48/45.29  |               $i(v255) & $i(v249) & $i(v53)) | ( ~ (v281 = v280) & h5(v50) =
% 233.48/45.29  |               v280 & h5(e13) = v255 & h5(e10) = v246 & op2(v255, v246) = v281
% 233.48/45.29  |               & op1(e13, e10) = v50 & $i(v281) & $i(v280) & $i(v255) &
% 233.48/45.29  |               $i(v246) & $i(v50)) | ( ~ (v279 = v278) & h5(v47) = v278 &
% 233.48/45.29  |               h5(e14) = v258 & h5(e12) = v252 & op2(v252, v258) = v279 &
% 233.48/45.29  |               op1(e12, e14) = v47 & $i(v279) & $i(v278) & $i(v258) & $i(v252)
% 233.48/45.29  |               & $i(v47)) | ( ~ (v277 = v276) & h5(v44) = v276 & h5(e13) = v255
% 233.48/45.29  |               & h5(e12) = v252 & op2(v252, v255) = v277 & op1(e12, e13) = v44
% 233.48/45.29  |               & $i(v277) & $i(v276) & $i(v255) & $i(v252) & $i(v44)) | ( ~
% 233.48/45.29  |               (v275 = v274) & h5(v41) = v274 & h5(e12) = v252 & op2(v252,
% 233.48/45.29  |                 v252) = v275 & op1(e12, e12) = v41 & $i(v275) & $i(v274) &
% 233.48/45.29  |               $i(v252) & $i(v41)) | ( ~ (v273 = v272) & h5(v38) = v272 &
% 233.48/45.29  |               h5(e12) = v252 & h5(e11) = v249 & op2(v252, v249) = v273 &
% 233.48/45.29  |               op1(e12, e11) = v38 & $i(v273) & $i(v272) & $i(v252) & $i(v249)
% 233.48/45.29  |               & $i(v38)) | ( ~ (v271 = v270) & h5(v35) = v270 & h5(e12) = v252
% 233.48/45.29  |               & h5(e10) = v246 & op2(v252, v246) = v271 & op1(e12, e10) = v35
% 233.48/45.29  |               & $i(v271) & $i(v270) & $i(v252) & $i(v246) & $i(v35)) | ( ~
% 233.48/45.29  |               (v269 = v268) & h5(v32) = v268 & h5(e14) = v258 & h5(e11) = v249
% 233.48/45.29  |               & op2(v249, v258) = v269 & op1(e11, e14) = v32 & $i(v269) &
% 233.48/45.29  |               $i(v268) & $i(v258) & $i(v249) & $i(v32)) | ( ~ (v267 = v266) &
% 233.48/45.29  |               h5(v29) = v266 & h5(e13) = v255 & h5(e11) = v249 & op2(v249,
% 233.48/45.29  |                 v255) = v267 & op1(e11, e13) = v29 & $i(v267) & $i(v266) &
% 233.48/45.29  |               $i(v255) & $i(v249) & $i(v29)) | ( ~ (v265 = v264) & h5(v26) =
% 233.48/45.29  |               v264 & h5(e12) = v252 & h5(e11) = v249 & op2(v249, v252) = v265
% 233.48/45.29  |               & op1(e11, e12) = v26 & $i(v265) & $i(v264) & $i(v252) &
% 233.48/45.29  |               $i(v249) & $i(v26)) | ( ~ (v263 = v262) & h5(v23) = v262 &
% 233.48/45.29  |               h5(e11) = v249 & op2(v249, v249) = v263 & op1(e11, e11) = v23 &
% 233.48/45.29  |               $i(v263) & $i(v262) & $i(v249) & $i(v23)) | ( ~ (v258 = e24) & 
% 233.48/45.29  |               ~ (v255 = e24) &  ~ (v252 = e24) &  ~ (v249 = e24) &  ~ (v246 =
% 233.48/45.29  |                 e24) & h5(e14) = v258 & h5(e13) = v255 & h5(e12) = v252 &
% 233.48/45.29  |               h5(e11) = v249 & h5(e10) = v246 & $i(v258) & $i(v255) & $i(v252)
% 233.48/45.29  |               & $i(v249) & $i(v246)) | ( ~ (v258 = e23) &  ~ (v255 = e23) &  ~
% 233.48/45.29  |               (v252 = e23) &  ~ (v249 = e23) &  ~ (v246 = e23) & h5(e14) =
% 233.48/45.29  |               v258 & h5(e13) = v255 & h5(e12) = v252 & h5(e11) = v249 &
% 233.48/45.29  |               h5(e10) = v246 & $i(v258) & $i(v255) & $i(v252) & $i(v249) &
% 233.48/45.29  |               $i(v246)) | ( ~ (v258 = e22) &  ~ (v255 = e22) &  ~ (v252 = e22)
% 233.48/45.29  |               &  ~ (v249 = e22) &  ~ (v246 = e22) & h5(e14) = v258 & h5(e13) =
% 233.48/45.29  |               v255 & h5(e12) = v252 & h5(e11) = v249 & h5(e10) = v246 &
% 233.48/45.29  |               $i(v258) & $i(v255) & $i(v252) & $i(v249) & $i(v246)) | ( ~
% 233.48/45.29  |               (v258 = e21) &  ~ (v255 = e21) &  ~ (v252 = e21) &  ~ (v249 =
% 233.48/45.29  |                 e21) &  ~ (v246 = e21) & h5(e14) = v258 & h5(e13) = v255 &
% 233.48/45.29  |               h5(e12) = v252 & h5(e11) = v249 & h5(e10) = v246 & $i(v258) &
% 233.48/45.29  |               $i(v255) & $i(v252) & $i(v249) & $i(v246)) | ( ~ (v258 = e20) & 
% 233.48/45.29  |               ~ (v255 = e20) &  ~ (v252 = e20) &  ~ (v249 = e20) &  ~ (v246 =
% 233.48/45.29  |                 e20) & h5(e14) = v258 & h5(e13) = v255 & h5(e12) = v252 &
% 233.48/45.29  |               h5(e11) = v249 & h5(e10) = v246 & $i(v258) & $i(v255) & $i(v252)
% 233.48/45.29  |               & $i(v249) & $i(v246)) | (h5(e10) = v246 & $i(v246) & (( ~ (v261
% 233.48/45.29  |                     = v260) & h5(v20) = v260 & h5(e11) = v249 & op2(v249,
% 233.48/45.29  |                     v246) = v261 & op1(e11, e10) = v20 & $i(v261) & $i(v260) &
% 233.48/45.29  |                   $i(v249) & $i(v20)) | ( ~ (v259 = v257) & h5(v16) = v257 &
% 233.48/45.29  |                   h5(e14) = v258 & op2(v246, v258) = v259 & op1(e10, e14) =
% 233.48/45.29  |                   v16 & $i(v259) & $i(v258) & $i(v257) & $i(v16)) | ( ~ (v256
% 233.48/45.29  |                     = v254) & h5(v12) = v254 & h5(e13) = v255 & op2(v246,
% 233.48/45.29  |                     v255) = v256 & op1(e10, e13) = v12 & $i(v256) & $i(v255) &
% 233.48/45.29  |                   $i(v254) & $i(v12)) | ( ~ (v253 = v251) & h5(v8) = v251 &
% 233.48/45.29  |                   h5(e12) = v252 & op2(v246, v252) = v253 & op1(e10, e12) = v8
% 233.48/45.29  |                   & $i(v253) & $i(v252) & $i(v251) & $i(v8)) | ( ~ (v250 =
% 233.48/45.29  |                     v248) & h5(v4) = v248 & h5(e11) = v249 & op2(v246, v249) =
% 233.48/45.29  |                   v250 & op1(e10, e11) = v4 & $i(v250) & $i(v249) & $i(v248) &
% 233.48/45.29  |                   $i(v4)) | ( ~ (v247 = v245) & h5(v0) = v245 & op2(v246,
% 233.48/45.29  |                     v246) = v247 & op1(e10, e10) = v0 & $i(v247) & $i(v245) &
% 233.48/45.29  |                   $i(v0))))) & (( ~ (v244 = v243) & h4(v77) = v243 & h4(e14) =
% 233.48/45.29  |               v203 & op2(v203, v203) = v244 & op1(e14, e14) = v77 & $i(v244) &
% 233.48/45.29  |               $i(v243) & $i(v203) & $i(v77)) | ( ~ (v242 = v241) & h4(v74) =
% 233.48/45.29  |               v241 & h4(e14) = v203 & h4(e13) = v200 & op2(v203, v200) = v242
% 233.48/45.29  |               & op1(e14, e13) = v74 & $i(v242) & $i(v241) & $i(v203) &
% 233.48/45.29  |               $i(v200) & $i(v74)) | ( ~ (v240 = v239) & h4(v71) = v239 &
% 233.48/45.29  |               h4(e14) = v203 & h4(e12) = v197 & op2(v203, v197) = v240 &
% 233.48/45.29  |               op1(e14, e12) = v71 & $i(v240) & $i(v239) & $i(v203) & $i(v197)
% 233.48/45.29  |               & $i(v71)) | ( ~ (v238 = v237) & h4(v68) = v237 & h4(e14) = v203
% 233.48/45.29  |               & h4(e11) = v194 & op2(v203, v194) = v238 & op1(e14, e11) = v68
% 233.48/45.29  |               & $i(v238) & $i(v237) & $i(v203) & $i(v194) & $i(v68)) | ( ~
% 233.48/45.29  |               (v236 = v235) & h4(v65) = v235 & h4(e14) = v203 & h4(e10) = v191
% 233.48/45.29  |               & op2(v203, v191) = v236 & op1(e14, e10) = v65 & $i(v236) &
% 233.48/45.29  |               $i(v235) & $i(v203) & $i(v191) & $i(v65)) | ( ~ (v234 = v233) &
% 233.48/45.29  |               h4(v62) = v233 & h4(e14) = v203 & h4(e13) = v200 & op2(v200,
% 233.48/45.29  |                 v203) = v234 & op1(e13, e14) = v62 & $i(v234) & $i(v233) &
% 233.48/45.29  |               $i(v203) & $i(v200) & $i(v62)) | ( ~ (v232 = v231) & h4(v59) =
% 233.48/45.29  |               v231 & h4(e13) = v200 & op2(v200, v200) = v232 & op1(e13, e13) =
% 233.48/45.29  |               v59 & $i(v232) & $i(v231) & $i(v200) & $i(v59)) | ( ~ (v230 =
% 233.48/45.29  |                 v229) & h4(v56) = v229 & h4(e13) = v200 & h4(e12) = v197 &
% 233.48/45.29  |               op2(v200, v197) = v230 & op1(e13, e12) = v56 & $i(v230) &
% 233.48/45.29  |               $i(v229) & $i(v200) & $i(v197) & $i(v56)) | ( ~ (v228 = v227) &
% 233.48/45.29  |               h4(v53) = v227 & h4(e13) = v200 & h4(e11) = v194 & op2(v200,
% 233.48/45.29  |                 v194) = v228 & op1(e13, e11) = v53 & $i(v228) & $i(v227) &
% 233.48/45.29  |               $i(v200) & $i(v194) & $i(v53)) | ( ~ (v226 = v225) & h4(v50) =
% 233.48/45.29  |               v225 & h4(e13) = v200 & h4(e10) = v191 & op2(v200, v191) = v226
% 233.48/45.29  |               & op1(e13, e10) = v50 & $i(v226) & $i(v225) & $i(v200) &
% 233.48/45.29  |               $i(v191) & $i(v50)) | ( ~ (v224 = v223) & h4(v47) = v223 &
% 233.48/45.29  |               h4(e14) = v203 & h4(e12) = v197 & op2(v197, v203) = v224 &
% 233.48/45.29  |               op1(e12, e14) = v47 & $i(v224) & $i(v223) & $i(v203) & $i(v197)
% 233.48/45.29  |               & $i(v47)) | ( ~ (v222 = v221) & h4(v44) = v221 & h4(e13) = v200
% 233.48/45.29  |               & h4(e12) = v197 & op2(v197, v200) = v222 & op1(e12, e13) = v44
% 233.48/45.29  |               & $i(v222) & $i(v221) & $i(v200) & $i(v197) & $i(v44)) | ( ~
% 233.48/45.29  |               (v220 = v219) & h4(v41) = v219 & h4(e12) = v197 & op2(v197,
% 233.48/45.29  |                 v197) = v220 & op1(e12, e12) = v41 & $i(v220) & $i(v219) &
% 233.48/45.29  |               $i(v197) & $i(v41)) | ( ~ (v218 = v217) & h4(v38) = v217 &
% 233.48/45.29  |               h4(e12) = v197 & h4(e11) = v194 & op2(v197, v194) = v218 &
% 233.48/45.29  |               op1(e12, e11) = v38 & $i(v218) & $i(v217) & $i(v197) & $i(v194)
% 233.48/45.29  |               & $i(v38)) | ( ~ (v216 = v215) & h4(v35) = v215 & h4(e12) = v197
% 233.48/45.29  |               & h4(e10) = v191 & op2(v197, v191) = v216 & op1(e12, e10) = v35
% 233.48/45.29  |               & $i(v216) & $i(v215) & $i(v197) & $i(v191) & $i(v35)) | ( ~
% 233.48/45.29  |               (v214 = v213) & h4(v32) = v213 & h4(e14) = v203 & h4(e11) = v194
% 233.48/45.29  |               & op2(v194, v203) = v214 & op1(e11, e14) = v32 & $i(v214) &
% 233.48/45.29  |               $i(v213) & $i(v203) & $i(v194) & $i(v32)) | ( ~ (v212 = v211) &
% 233.48/45.29  |               h4(v29) = v211 & h4(e13) = v200 & h4(e11) = v194 & op2(v194,
% 233.48/45.29  |                 v200) = v212 & op1(e11, e13) = v29 & $i(v212) & $i(v211) &
% 233.48/45.29  |               $i(v200) & $i(v194) & $i(v29)) | ( ~ (v210 = v209) & h4(v26) =
% 233.48/45.29  |               v209 & h4(e12) = v197 & h4(e11) = v194 & op2(v194, v197) = v210
% 233.48/45.29  |               & op1(e11, e12) = v26 & $i(v210) & $i(v209) & $i(v197) &
% 233.48/45.29  |               $i(v194) & $i(v26)) | ( ~ (v208 = v207) & h4(v23) = v207 &
% 233.48/45.29  |               h4(e11) = v194 & op2(v194, v194) = v208 & op1(e11, e11) = v23 &
% 233.48/45.29  |               $i(v208) & $i(v207) & $i(v194) & $i(v23)) | ( ~ (v203 = e24) & 
% 233.48/45.29  |               ~ (v200 = e24) &  ~ (v197 = e24) &  ~ (v194 = e24) &  ~ (v191 =
% 233.48/45.29  |                 e24) & h4(e14) = v203 & h4(e13) = v200 & h4(e12) = v197 &
% 233.48/45.29  |               h4(e11) = v194 & h4(e10) = v191 & $i(v203) & $i(v200) & $i(v197)
% 233.48/45.29  |               & $i(v194) & $i(v191)) | ( ~ (v203 = e23) &  ~ (v200 = e23) &  ~
% 233.48/45.29  |               (v197 = e23) &  ~ (v194 = e23) &  ~ (v191 = e23) & h4(e14) =
% 233.48/45.29  |               v203 & h4(e13) = v200 & h4(e12) = v197 & h4(e11) = v194 &
% 233.48/45.29  |               h4(e10) = v191 & $i(v203) & $i(v200) & $i(v197) & $i(v194) &
% 233.48/45.29  |               $i(v191)) | ( ~ (v203 = e22) &  ~ (v200 = e22) &  ~ (v197 = e22)
% 233.48/45.29  |               &  ~ (v194 = e22) &  ~ (v191 = e22) & h4(e14) = v203 & h4(e13) =
% 233.48/45.29  |               v200 & h4(e12) = v197 & h4(e11) = v194 & h4(e10) = v191 &
% 233.48/45.29  |               $i(v203) & $i(v200) & $i(v197) & $i(v194) & $i(v191)) | ( ~
% 233.48/45.29  |               (v203 = e21) &  ~ (v200 = e21) &  ~ (v197 = e21) &  ~ (v194 =
% 233.48/45.29  |                 e21) &  ~ (v191 = e21) & h4(e14) = v203 & h4(e13) = v200 &
% 233.48/45.29  |               h4(e12) = v197 & h4(e11) = v194 & h4(e10) = v191 & $i(v203) &
% 233.48/45.29  |               $i(v200) & $i(v197) & $i(v194) & $i(v191)) | ( ~ (v203 = e20) & 
% 233.48/45.29  |               ~ (v200 = e20) &  ~ (v197 = e20) &  ~ (v194 = e20) &  ~ (v191 =
% 233.48/45.29  |                 e20) & h4(e14) = v203 & h4(e13) = v200 & h4(e12) = v197 &
% 233.48/45.29  |               h4(e11) = v194 & h4(e10) = v191 & $i(v203) & $i(v200) & $i(v197)
% 233.48/45.29  |               & $i(v194) & $i(v191)) | (h4(e10) = v191 & $i(v191) & (( ~ (v206
% 233.48/45.29  |                     = v205) & h4(v20) = v205 & h4(e11) = v194 & op2(v194,
% 233.48/45.29  |                     v191) = v206 & op1(e11, e10) = v20 & $i(v206) & $i(v205) &
% 233.48/45.29  |                   $i(v194) & $i(v20)) | ( ~ (v204 = v202) & h4(v16) = v202 &
% 233.48/45.29  |                   h4(e14) = v203 & op2(v191, v203) = v204 & op1(e10, e14) =
% 233.48/45.29  |                   v16 & $i(v204) & $i(v203) & $i(v202) & $i(v16)) | ( ~ (v201
% 233.48/45.29  |                     = v199) & h4(v12) = v199 & h4(e13) = v200 & op2(v191,
% 233.48/45.29  |                     v200) = v201 & op1(e10, e13) = v12 & $i(v201) & $i(v200) &
% 233.48/45.29  |                   $i(v199) & $i(v12)) | ( ~ (v198 = v196) & h4(v8) = v196 &
% 233.48/45.29  |                   h4(e12) = v197 & op2(v191, v197) = v198 & op1(e10, e12) = v8
% 233.48/45.29  |                   & $i(v198) & $i(v197) & $i(v196) & $i(v8)) | ( ~ (v195 =
% 233.48/45.29  |                     v193) & h4(v4) = v193 & h4(e11) = v194 & op2(v191, v194) =
% 233.48/45.29  |                   v195 & op1(e10, e11) = v4 & $i(v195) & $i(v194) & $i(v193) &
% 233.48/45.29  |                   $i(v4)) | ( ~ (v192 = v190) & h4(v0) = v190 & op2(v191,
% 233.48/45.29  |                     v191) = v192 & op1(e10, e10) = v0 & $i(v192) & $i(v190) &
% 233.48/45.29  |                   $i(v0))))) & (( ~ (v189 = v188) & h3(v77) = v188 & h3(e14) =
% 233.48/45.29  |               v148 & op2(v148, v148) = v189 & op1(e14, e14) = v77 & $i(v189) &
% 233.48/45.29  |               $i(v188) & $i(v148) & $i(v77)) | ( ~ (v187 = v186) & h3(v74) =
% 233.48/45.29  |               v186 & h3(e14) = v148 & h3(e13) = v145 & op2(v148, v145) = v187
% 233.48/45.29  |               & op1(e14, e13) = v74 & $i(v187) & $i(v186) & $i(v148) &
% 233.48/45.29  |               $i(v145) & $i(v74)) | ( ~ (v185 = v184) & h3(v71) = v184 &
% 233.48/45.29  |               h3(e14) = v148 & h3(e12) = v142 & op2(v148, v142) = v185 &
% 233.48/45.29  |               op1(e14, e12) = v71 & $i(v185) & $i(v184) & $i(v148) & $i(v142)
% 233.48/45.29  |               & $i(v71)) | ( ~ (v183 = v182) & h3(v68) = v182 & h3(e14) = v148
% 233.48/45.29  |               & h3(e11) = v139 & op2(v148, v139) = v183 & op1(e14, e11) = v68
% 233.48/45.29  |               & $i(v183) & $i(v182) & $i(v148) & $i(v139) & $i(v68)) | ( ~
% 233.48/45.29  |               (v181 = v180) & h3(v65) = v180 & h3(e14) = v148 & h3(e10) = v136
% 233.48/45.29  |               & op2(v148, v136) = v181 & op1(e14, e10) = v65 & $i(v181) &
% 233.48/45.29  |               $i(v180) & $i(v148) & $i(v136) & $i(v65)) | ( ~ (v179 = v178) &
% 233.48/45.29  |               h3(v62) = v178 & h3(e14) = v148 & h3(e13) = v145 & op2(v145,
% 233.48/45.29  |                 v148) = v179 & op1(e13, e14) = v62 & $i(v179) & $i(v178) &
% 233.48/45.29  |               $i(v148) & $i(v145) & $i(v62)) | ( ~ (v177 = v176) & h3(v59) =
% 233.48/45.29  |               v176 & h3(e13) = v145 & op2(v145, v145) = v177 & op1(e13, e13) =
% 233.48/45.29  |               v59 & $i(v177) & $i(v176) & $i(v145) & $i(v59)) | ( ~ (v175 =
% 233.48/45.29  |                 v174) & h3(v56) = v174 & h3(e13) = v145 & h3(e12) = v142 &
% 233.48/45.29  |               op2(v145, v142) = v175 & op1(e13, e12) = v56 & $i(v175) &
% 233.48/45.29  |               $i(v174) & $i(v145) & $i(v142) & $i(v56)) | ( ~ (v173 = v172) &
% 233.48/45.29  |               h3(v53) = v172 & h3(e13) = v145 & h3(e11) = v139 & op2(v145,
% 233.48/45.29  |                 v139) = v173 & op1(e13, e11) = v53 & $i(v173) & $i(v172) &
% 233.48/45.29  |               $i(v145) & $i(v139) & $i(v53)) | ( ~ (v171 = v170) & h3(v50) =
% 233.48/45.29  |               v170 & h3(e13) = v145 & h3(e10) = v136 & op2(v145, v136) = v171
% 233.48/45.29  |               & op1(e13, e10) = v50 & $i(v171) & $i(v170) & $i(v145) &
% 233.48/45.29  |               $i(v136) & $i(v50)) | ( ~ (v169 = v168) & h3(v47) = v168 &
% 233.48/45.29  |               h3(e14) = v148 & h3(e12) = v142 & op2(v142, v148) = v169 &
% 233.48/45.29  |               op1(e12, e14) = v47 & $i(v169) & $i(v168) & $i(v148) & $i(v142)
% 233.48/45.29  |               & $i(v47)) | ( ~ (v167 = v166) & h3(v44) = v166 & h3(e13) = v145
% 233.48/45.29  |               & h3(e12) = v142 & op2(v142, v145) = v167 & op1(e12, e13) = v44
% 233.48/45.29  |               & $i(v167) & $i(v166) & $i(v145) & $i(v142) & $i(v44)) | ( ~
% 233.48/45.29  |               (v165 = v164) & h3(v41) = v164 & h3(e12) = v142 & op2(v142,
% 233.48/45.29  |                 v142) = v165 & op1(e12, e12) = v41 & $i(v165) & $i(v164) &
% 233.48/45.29  |               $i(v142) & $i(v41)) | ( ~ (v163 = v162) & h3(v38) = v162 &
% 233.48/45.29  |               h3(e12) = v142 & h3(e11) = v139 & op2(v142, v139) = v163 &
% 233.48/45.29  |               op1(e12, e11) = v38 & $i(v163) & $i(v162) & $i(v142) & $i(v139)
% 233.48/45.29  |               & $i(v38)) | ( ~ (v161 = v160) & h3(v35) = v160 & h3(e12) = v142
% 233.48/45.29  |               & h3(e10) = v136 & op2(v142, v136) = v161 & op1(e12, e10) = v35
% 233.48/45.29  |               & $i(v161) & $i(v160) & $i(v142) & $i(v136) & $i(v35)) | ( ~
% 233.48/45.29  |               (v159 = v158) & h3(v32) = v158 & h3(e14) = v148 & h3(e11) = v139
% 233.48/45.29  |               & op2(v139, v148) = v159 & op1(e11, e14) = v32 & $i(v159) &
% 233.48/45.29  |               $i(v158) & $i(v148) & $i(v139) & $i(v32)) | ( ~ (v157 = v156) &
% 233.48/45.29  |               h3(v29) = v156 & h3(e13) = v145 & h3(e11) = v139 & op2(v139,
% 233.48/45.29  |                 v145) = v157 & op1(e11, e13) = v29 & $i(v157) & $i(v156) &
% 233.48/45.29  |               $i(v145) & $i(v139) & $i(v29)) | ( ~ (v155 = v154) & h3(v26) =
% 233.48/45.29  |               v154 & h3(e12) = v142 & h3(e11) = v139 & op2(v139, v142) = v155
% 233.48/45.29  |               & op1(e11, e12) = v26 & $i(v155) & $i(v154) & $i(v142) &
% 233.48/45.29  |               $i(v139) & $i(v26)) | ( ~ (v153 = v152) & h3(v23) = v152 &
% 233.48/45.29  |               h3(e11) = v139 & op2(v139, v139) = v153 & op1(e11, e11) = v23 &
% 233.48/45.29  |               $i(v153) & $i(v152) & $i(v139) & $i(v23)) | ( ~ (v148 = e24) & 
% 233.48/45.29  |               ~ (v145 = e24) &  ~ (v142 = e24) &  ~ (v139 = e24) &  ~ (v136 =
% 233.48/45.29  |                 e24) & h3(e14) = v148 & h3(e13) = v145 & h3(e12) = v142 &
% 233.48/45.29  |               h3(e11) = v139 & h3(e10) = v136 & $i(v148) & $i(v145) & $i(v142)
% 233.48/45.29  |               & $i(v139) & $i(v136)) | ( ~ (v148 = e23) &  ~ (v145 = e23) &  ~
% 233.48/45.29  |               (v142 = e23) &  ~ (v139 = e23) &  ~ (v136 = e23) & h3(e14) =
% 233.48/45.29  |               v148 & h3(e13) = v145 & h3(e12) = v142 & h3(e11) = v139 &
% 233.48/45.29  |               h3(e10) = v136 & $i(v148) & $i(v145) & $i(v142) & $i(v139) &
% 233.48/45.29  |               $i(v136)) | ( ~ (v148 = e22) &  ~ (v145 = e22) &  ~ (v142 = e22)
% 233.48/45.29  |               &  ~ (v139 = e22) &  ~ (v136 = e22) & h3(e14) = v148 & h3(e13) =
% 233.48/45.29  |               v145 & h3(e12) = v142 & h3(e11) = v139 & h3(e10) = v136 &
% 233.48/45.29  |               $i(v148) & $i(v145) & $i(v142) & $i(v139) & $i(v136)) | ( ~
% 233.48/45.29  |               (v148 = e21) &  ~ (v145 = e21) &  ~ (v142 = e21) &  ~ (v139 =
% 233.48/45.29  |                 e21) &  ~ (v136 = e21) & h3(e14) = v148 & h3(e13) = v145 &
% 233.48/45.29  |               h3(e12) = v142 & h3(e11) = v139 & h3(e10) = v136 & $i(v148) &
% 233.48/45.29  |               $i(v145) & $i(v142) & $i(v139) & $i(v136)) | ( ~ (v148 = e20) & 
% 233.48/45.29  |               ~ (v145 = e20) &  ~ (v142 = e20) &  ~ (v139 = e20) &  ~ (v136 =
% 233.48/45.29  |                 e20) & h3(e14) = v148 & h3(e13) = v145 & h3(e12) = v142 &
% 233.48/45.29  |               h3(e11) = v139 & h3(e10) = v136 & $i(v148) & $i(v145) & $i(v142)
% 233.48/45.29  |               & $i(v139) & $i(v136)) | (h3(e10) = v136 & $i(v136) & (( ~ (v151
% 233.48/45.29  |                     = v150) & h3(v20) = v150 & h3(e11) = v139 & op2(v139,
% 233.48/45.29  |                     v136) = v151 & op1(e11, e10) = v20 & $i(v151) & $i(v150) &
% 233.48/45.29  |                   $i(v139) & $i(v20)) | ( ~ (v149 = v147) & h3(v16) = v147 &
% 233.48/45.29  |                   h3(e14) = v148 & op2(v136, v148) = v149 & op1(e10, e14) =
% 233.48/45.29  |                   v16 & $i(v149) & $i(v148) & $i(v147) & $i(v16)) | ( ~ (v146
% 233.48/45.29  |                     = v144) & h3(v12) = v144 & h3(e13) = v145 & op2(v136,
% 233.48/45.29  |                     v145) = v146 & op1(e10, e13) = v12 & $i(v146) & $i(v145) &
% 233.48/45.29  |                   $i(v144) & $i(v12)) | ( ~ (v143 = v141) & h3(v8) = v141 &
% 233.48/45.29  |                   h3(e12) = v142 & op2(v136, v142) = v143 & op1(e10, e12) = v8
% 233.48/45.29  |                   & $i(v143) & $i(v142) & $i(v141) & $i(v8)) | ( ~ (v140 =
% 233.48/45.29  |                     v138) & h3(v4) = v138 & h3(e11) = v139 & op2(v136, v139) =
% 233.48/45.29  |                   v140 & op1(e10, e11) = v4 & $i(v140) & $i(v139) & $i(v138) &
% 233.48/45.29  |                   $i(v4)) | ( ~ (v137 = v135) & h3(v0) = v135 & op2(v136,
% 233.48/45.29  |                     v136) = v137 & op1(e10, e10) = v0 & $i(v137) & $i(v135) &
% 233.48/45.29  |                   $i(v0))))) & (( ~ (v134 = v133) & h2(v77) = v133 & h2(e14) =
% 233.48/45.29  |               v93 & op2(v93, v93) = v134 & op1(e14, e14) = v77 & $i(v134) &
% 233.48/45.29  |               $i(v133) & $i(v93) & $i(v77)) | ( ~ (v132 = v131) & h2(v74) =
% 233.48/45.29  |               v131 & h2(e14) = v93 & h2(e13) = v90 & op2(v93, v90) = v132 &
% 233.48/45.29  |               op1(e14, e13) = v74 & $i(v132) & $i(v131) & $i(v93) & $i(v90) &
% 233.48/45.29  |               $i(v74)) | ( ~ (v130 = v129) & h2(v71) = v129 & h2(e14) = v93 &
% 233.48/45.29  |               h2(e12) = v87 & op2(v93, v87) = v130 & op1(e14, e12) = v71 &
% 233.48/45.29  |               $i(v130) & $i(v129) & $i(v93) & $i(v87) & $i(v71)) | ( ~ (v128 =
% 233.48/45.29  |                 v127) & h2(v68) = v127 & h2(e14) = v93 & h2(e11) = v84 &
% 233.48/45.29  |               op2(v93, v84) = v128 & op1(e14, e11) = v68 & $i(v128) & $i(v127)
% 233.48/45.29  |               & $i(v93) & $i(v84) & $i(v68)) | ( ~ (v126 = v125) & h2(v65) =
% 233.48/45.29  |               v125 & h2(e14) = v93 & h2(e10) = v81 & op2(v93, v81) = v126 &
% 233.48/45.29  |               op1(e14, e10) = v65 & $i(v126) & $i(v125) & $i(v93) & $i(v81) &
% 233.48/45.29  |               $i(v65)) | ( ~ (v124 = v123) & h2(v62) = v123 & h2(e14) = v93 &
% 233.48/45.29  |               h2(e13) = v90 & op2(v90, v93) = v124 & op1(e13, e14) = v62 &
% 233.48/45.29  |               $i(v124) & $i(v123) & $i(v93) & $i(v90) & $i(v62)) | ( ~ (v122 =
% 233.48/45.29  |                 v121) & h2(v59) = v121 & h2(e13) = v90 & op2(v90, v90) = v122
% 233.48/45.29  |               & op1(e13, e13) = v59 & $i(v122) & $i(v121) & $i(v90) & $i(v59))
% 233.48/45.29  |             | ( ~ (v120 = v119) & h2(v56) = v119 & h2(e13) = v90 & h2(e12) =
% 233.48/45.29  |               v87 & op2(v90, v87) = v120 & op1(e13, e12) = v56 & $i(v120) &
% 233.48/45.29  |               $i(v119) & $i(v90) & $i(v87) & $i(v56)) | ( ~ (v118 = v117) &
% 233.48/45.29  |               h2(v53) = v117 & h2(e13) = v90 & h2(e11) = v84 & op2(v90, v84) =
% 233.48/45.29  |               v118 & op1(e13, e11) = v53 & $i(v118) & $i(v117) & $i(v90) &
% 233.48/45.29  |               $i(v84) & $i(v53)) | ( ~ (v116 = v115) & h2(v50) = v115 &
% 233.48/45.29  |               h2(e13) = v90 & h2(e10) = v81 & op2(v90, v81) = v116 & op1(e13,
% 233.48/45.29  |                 e10) = v50 & $i(v116) & $i(v115) & $i(v90) & $i(v81) &
% 233.48/45.29  |               $i(v50)) | ( ~ (v114 = v113) & h2(v47) = v113 & h2(e14) = v93 &
% 233.48/45.29  |               h2(e12) = v87 & op2(v87, v93) = v114 & op1(e12, e14) = v47 &
% 233.48/45.29  |               $i(v114) & $i(v113) & $i(v93) & $i(v87) & $i(v47)) | ( ~ (v112 =
% 233.48/45.29  |                 v111) & h2(v44) = v111 & h2(e13) = v90 & h2(e12) = v87 &
% 233.48/45.29  |               op2(v87, v90) = v112 & op1(e12, e13) = v44 & $i(v112) & $i(v111)
% 233.48/45.29  |               & $i(v90) & $i(v87) & $i(v44)) | ( ~ (v110 = v109) & h2(v41) =
% 233.48/45.29  |               v109 & h2(e12) = v87 & op2(v87, v87) = v110 & op1(e12, e12) =
% 233.48/45.29  |               v41 & $i(v110) & $i(v109) & $i(v87) & $i(v41)) | ( ~ (v108 =
% 233.48/45.29  |                 v107) & h2(v38) = v107 & h2(e12) = v87 & h2(e11) = v84 &
% 233.48/45.29  |               op2(v87, v84) = v108 & op1(e12, e11) = v38 & $i(v108) & $i(v107)
% 233.48/45.29  |               & $i(v87) & $i(v84) & $i(v38)) | ( ~ (v106 = v105) & h2(v35) =
% 233.48/45.29  |               v105 & h2(e12) = v87 & h2(e10) = v81 & op2(v87, v81) = v106 &
% 233.48/45.29  |               op1(e12, e10) = v35 & $i(v106) & $i(v105) & $i(v87) & $i(v81) &
% 233.48/45.29  |               $i(v35)) | ( ~ (v104 = v103) & h2(v32) = v103 & h2(e14) = v93 &
% 233.48/45.29  |               h2(e11) = v84 & op2(v84, v93) = v104 & op1(e11, e14) = v32 &
% 233.48/45.29  |               $i(v104) & $i(v103) & $i(v93) & $i(v84) & $i(v32)) | ( ~ (v102 =
% 233.48/45.29  |                 v101) & h2(v29) = v101 & h2(e13) = v90 & h2(e11) = v84 &
% 233.48/45.29  |               op2(v84, v90) = v102 & op1(e11, e13) = v29 & $i(v102) & $i(v101)
% 233.48/45.29  |               & $i(v90) & $i(v84) & $i(v29)) | ( ~ (v100 = v99) & h2(v26) =
% 233.48/45.29  |               v99 & h2(e12) = v87 & h2(e11) = v84 & op2(v84, v87) = v100 &
% 233.48/45.29  |               op1(e11, e12) = v26 & $i(v100) & $i(v99) & $i(v87) & $i(v84) &
% 233.48/45.29  |               $i(v26)) | ( ~ (v98 = v97) & h2(v23) = v97 & h2(e11) = v84 &
% 233.48/45.29  |               op2(v84, v84) = v98 & op1(e11, e11) = v23 & $i(v98) & $i(v97) &
% 233.48/45.29  |               $i(v84) & $i(v23)) | ( ~ (v93 = e24) &  ~ (v90 = e24) &  ~ (v87
% 233.48/45.29  |                 = e24) &  ~ (v84 = e24) &  ~ (v81 = e24) & h2(e14) = v93 &
% 233.48/45.29  |               h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84 & h2(e10) = v81 &
% 233.48/45.29  |               $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~ (v93 =
% 233.48/45.29  |                 e23) &  ~ (v90 = e23) &  ~ (v87 = e23) &  ~ (v84 = e23) &  ~
% 233.48/45.29  |               (v81 = e23) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 &
% 233.48/45.29  |               h2(e11) = v84 & h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) &
% 233.48/45.29  |               $i(v84) & $i(v81)) | ( ~ (v93 = e22) &  ~ (v90 = e22) &  ~ (v87
% 233.48/45.29  |                 = e22) &  ~ (v84 = e22) &  ~ (v81 = e22) & h2(e14) = v93 &
% 233.48/45.29  |               h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84 & h2(e10) = v81 &
% 233.48/45.29  |               $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | ( ~ (v93 =
% 233.48/45.29  |                 e21) &  ~ (v90 = e21) &  ~ (v87 = e21) &  ~ (v84 = e21) &  ~
% 233.48/45.29  |               (v81 = e21) & h2(e14) = v93 & h2(e13) = v90 & h2(e12) = v87 &
% 233.48/45.29  |               h2(e11) = v84 & h2(e10) = v81 & $i(v93) & $i(v90) & $i(v87) &
% 233.48/45.29  |               $i(v84) & $i(v81)) | ( ~ (v93 = e20) &  ~ (v90 = e20) &  ~ (v87
% 233.48/45.29  |                 = e20) &  ~ (v84 = e20) &  ~ (v81 = e20) & h2(e14) = v93 &
% 233.48/45.29  |               h2(e13) = v90 & h2(e12) = v87 & h2(e11) = v84 & h2(e10) = v81 &
% 233.48/45.29  |               $i(v93) & $i(v90) & $i(v87) & $i(v84) & $i(v81)) | (h2(e10) =
% 233.48/45.29  |               v81 & $i(v81) & (( ~ (v96 = v95) & h2(v20) = v95 & h2(e11) = v84
% 233.48/45.29  |                   & op2(v84, v81) = v96 & op1(e11, e10) = v20 & $i(v96) &
% 233.48/45.29  |                   $i(v95) & $i(v84) & $i(v20)) | ( ~ (v94 = v92) & h2(v16) =
% 233.48/45.29  |                   v92 & h2(e14) = v93 & op2(v81, v93) = v94 & op1(e10, e14) =
% 233.48/45.29  |                   v16 & $i(v94) & $i(v93) & $i(v92) & $i(v16)) | ( ~ (v91 =
% 233.48/45.29  |                     v89) & h2(v12) = v89 & h2(e13) = v90 & op2(v81, v90) = v91
% 233.48/45.29  |                   & op1(e10, e13) = v12 & $i(v91) & $i(v90) & $i(v89) &
% 233.48/45.29  |                   $i(v12)) | ( ~ (v88 = v86) & h2(v8) = v86 & h2(e12) = v87 &
% 233.48/45.29  |                   op2(v81, v87) = v88 & op1(e10, e12) = v8 & $i(v88) & $i(v87)
% 233.48/45.29  |                   & $i(v86) & $i(v8)) | ( ~ (v85 = v83) & h2(v4) = v83 &
% 233.48/45.29  |                   h2(e11) = v84 & op2(v81, v84) = v85 & op1(e10, e11) = v4 &
% 233.48/45.29  |                   $i(v85) & $i(v84) & $i(v83) & $i(v4)) | ( ~ (v82 = v80) &
% 233.48/45.29  |                   h2(v0) = v80 & op2(v81, v81) = v82 & op1(e10, e10) = v0 &
% 233.48/45.29  |                   $i(v82) & $i(v80) & $i(v0))))) & (( ~ (v79 = v78) & h1(v77)
% 233.48/45.29  |               = v78 & h1(e14) = v18 & op2(v18, v18) = v79 & op1(e14, e14) =
% 233.48/45.29  |               v77 & $i(v79) & $i(v78) & $i(v77) & $i(v18)) | ( ~ (v76 = v75) &
% 233.48/45.29  |               h1(v74) = v75 & h1(e14) = v18 & h1(e13) = v14 & op2(v18, v14) =
% 233.48/45.29  |               v76 & op1(e14, e13) = v74 & $i(v76) & $i(v75) & $i(v74) &
% 233.48/45.29  |               $i(v18) & $i(v14)) | ( ~ (v73 = v72) & h1(v71) = v72 & h1(e14) =
% 233.48/45.29  |               v18 & h1(e12) = v10 & op2(v18, v10) = v73 & op1(e14, e12) = v71
% 233.48/45.29  |               & $i(v73) & $i(v72) & $i(v71) & $i(v18) & $i(v10)) | ( ~ (v70 =
% 233.48/45.29  |                 v69) & h1(v68) = v69 & h1(e14) = v18 & h1(e11) = v6 & op2(v18,
% 233.48/45.29  |                 v6) = v70 & op1(e14, e11) = v68 & $i(v70) & $i(v69) & $i(v68)
% 233.48/45.29  |               & $i(v18) & $i(v6)) | ( ~ (v67 = v66) & h1(v65) = v66 & h1(e14)
% 233.48/45.29  |               = v18 & h1(e10) = v2 & op2(v18, v2) = v67 & op1(e14, e10) = v65
% 233.48/45.29  |               & $i(v67) & $i(v66) & $i(v65) & $i(v18) & $i(v2)) | ( ~ (v64 =
% 233.48/45.29  |                 v63) & h1(v62) = v63 & h1(e14) = v18 & h1(e13) = v14 &
% 233.48/45.29  |               op2(v14, v18) = v64 & op1(e13, e14) = v62 & $i(v64) & $i(v63) &
% 233.48/45.29  |               $i(v62) & $i(v18) & $i(v14)) | ( ~ (v61 = v60) & h1(v59) = v60 &
% 233.48/45.29  |               h1(e13) = v14 & op2(v14, v14) = v61 & op1(e13, e13) = v59 &
% 233.48/45.29  |               $i(v61) & $i(v60) & $i(v59) & $i(v14)) | ( ~ (v58 = v57) &
% 233.48/45.29  |               h1(v56) = v57 & h1(e13) = v14 & h1(e12) = v10 & op2(v14, v10) =
% 233.48/45.29  |               v58 & op1(e13, e12) = v56 & $i(v58) & $i(v57) & $i(v56) &
% 233.48/45.29  |               $i(v14) & $i(v10)) | ( ~ (v55 = v54) & h1(v53) = v54 & h1(e13) =
% 233.48/45.29  |               v14 & h1(e11) = v6 & op2(v14, v6) = v55 & op1(e13, e11) = v53 &
% 233.48/45.29  |               $i(v55) & $i(v54) & $i(v53) & $i(v14) & $i(v6)) | ( ~ (v52 =
% 233.48/45.29  |                 v51) & h1(v50) = v51 & h1(e13) = v14 & h1(e10) = v2 & op2(v14,
% 233.48/45.29  |                 v2) = v52 & op1(e13, e10) = v50 & $i(v52) & $i(v51) & $i(v50)
% 233.48/45.29  |               & $i(v14) & $i(v2)) | ( ~ (v49 = v48) & h1(v47) = v48 & h1(e14)
% 233.48/45.29  |               = v18 & h1(e12) = v10 & op2(v10, v18) = v49 & op1(e12, e14) =
% 233.48/45.29  |               v47 & $i(v49) & $i(v48) & $i(v47) & $i(v18) & $i(v10)) | ( ~
% 233.48/45.29  |               (v46 = v45) & h1(v44) = v45 & h1(e13) = v14 & h1(e12) = v10 &
% 233.48/45.29  |               op2(v10, v14) = v46 & op1(e12, e13) = v44 & $i(v46) & $i(v45) &
% 233.48/45.29  |               $i(v44) & $i(v14) & $i(v10)) | ( ~ (v43 = v42) & h1(v41) = v42 &
% 233.48/45.29  |               h1(e12) = v10 & op2(v10, v10) = v43 & op1(e12, e12) = v41 &
% 233.48/45.29  |               $i(v43) & $i(v42) & $i(v41) & $i(v10)) | ( ~ (v40 = v39) &
% 233.48/45.29  |               h1(v38) = v39 & h1(e12) = v10 & h1(e11) = v6 & op2(v10, v6) =
% 233.48/45.29  |               v40 & op1(e12, e11) = v38 & $i(v40) & $i(v39) & $i(v38) &
% 233.48/45.29  |               $i(v10) & $i(v6)) | ( ~ (v37 = v36) & h1(v35) = v36 & h1(e12) =
% 233.48/45.29  |               v10 & h1(e10) = v2 & op2(v10, v2) = v37 & op1(e12, e10) = v35 &
% 233.48/45.29  |               $i(v37) & $i(v36) & $i(v35) & $i(v10) & $i(v2)) | ( ~ (v34 =
% 233.48/45.29  |                 v33) & h1(v32) = v33 & h1(e14) = v18 & h1(e11) = v6 & op2(v6,
% 233.48/45.29  |                 v18) = v34 & op1(e11, e14) = v32 & $i(v34) & $i(v33) & $i(v32)
% 233.48/45.29  |               & $i(v18) & $i(v6)) | ( ~ (v31 = v30) & h1(v29) = v30 & h1(e13)
% 233.48/45.29  |               = v14 & h1(e11) = v6 & op2(v6, v14) = v31 & op1(e11, e13) = v29
% 233.48/45.29  |               & $i(v31) & $i(v30) & $i(v29) & $i(v14) & $i(v6)) | ( ~ (v28 =
% 233.48/45.29  |                 v27) & h1(v26) = v27 & h1(e12) = v10 & h1(e11) = v6 & op2(v6,
% 233.48/45.29  |                 v10) = v28 & op1(e11, e12) = v26 & $i(v28) & $i(v27) & $i(v26)
% 233.48/45.29  |               & $i(v10) & $i(v6)) | ( ~ (v25 = v24) & h1(v23) = v24 & h1(e11)
% 233.48/45.29  |               = v6 & op2(v6, v6) = v25 & op1(e11, e11) = v23 & $i(v25) &
% 233.48/45.29  |               $i(v24) & $i(v23) & $i(v6)) | ( ~ (v18 = e24) &  ~ (v14 = e24) &
% 233.48/45.29  |                ~ (v10 = e24) &  ~ (v6 = e24) &  ~ (v2 = e24) & h1(e14) = v18 &
% 233.48/45.29  |               h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 &
% 233.48/45.29  |               $i(v18) & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e23)
% 233.48/45.29  |               &  ~ (v14 = e23) &  ~ (v10 = e23) &  ~ (v6 = e23) &  ~ (v2 =
% 233.48/45.29  |                 e23) & h1(e14) = v18 & h1(e13) = v14 & h1(e12) = v10 & h1(e11)
% 233.48/45.29  |               = v6 & h1(e10) = v2 & $i(v18) & $i(v14) & $i(v10) & $i(v6) &
% 233.48/45.29  |               $i(v2)) | ( ~ (v18 = e22) &  ~ (v14 = e22) &  ~ (v10 = e22) &  ~
% 233.48/45.29  |               (v6 = e22) &  ~ (v2 = e22) & h1(e14) = v18 & h1(e13) = v14 &
% 233.48/45.29  |               h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & $i(v18) & $i(v14)
% 233.48/45.29  |               & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e21) &  ~ (v14 = e21)
% 233.48/45.29  |               &  ~ (v10 = e21) &  ~ (v6 = e21) &  ~ (v2 = e21) & h1(e14) = v18
% 233.48/45.29  |               & h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 &
% 233.48/45.29  |               $i(v18) & $i(v14) & $i(v10) & $i(v6) & $i(v2)) | ( ~ (v18 = e20)
% 233.48/45.29  |               &  ~ (v14 = e20) &  ~ (v10 = e20) &  ~ (v6 = e20) &  ~ (v2 =
% 233.48/45.29  |                 e20) & h1(e14) = v18 & h1(e13) = v14 & h1(e12) = v10 & h1(e11)
% 233.48/45.29  |               = v6 & h1(e10) = v2 & $i(v18) & $i(v14) & $i(v10) & $i(v6) &
% 233.48/45.29  |               $i(v2)) | (h1(e10) = v2 & $i(v2) & (( ~ (v22 = v21) & h1(v20) =
% 233.48/45.29  |                   v21 & h1(e11) = v6 & op2(v6, v2) = v22 & op1(e11, e10) = v20
% 233.48/45.29  |                   & $i(v22) & $i(v21) & $i(v20) & $i(v6)) | ( ~ (v19 = v17) &
% 233.48/45.29  |                   h1(v16) = v17 & h1(e14) = v18 & op2(v2, v18) = v19 &
% 233.48/45.29  |                   op1(e10, e14) = v16 & $i(v19) & $i(v18) & $i(v17) & $i(v16))
% 233.48/45.29  |                 | ( ~ (v15 = v13) & h1(v12) = v13 & h1(e13) = v14 & op2(v2,
% 233.48/45.29  |                     v14) = v15 & op1(e10, e13) = v12 & $i(v15) & $i(v14) &
% 233.48/45.29  |                   $i(v13) & $i(v12)) | ( ~ (v11 = v9) & h1(v8) = v9 & h1(e12)
% 233.48/45.29  |                   = v10 & op2(v2, v10) = v11 & op1(e10, e12) = v8 & $i(v11) &
% 233.48/45.29  |                   $i(v10) & $i(v9) & $i(v8)) | ( ~ (v7 = v5) & h1(v4) = v5 &
% 233.48/45.29  |                   h1(e11) = v6 & op2(v2, v6) = v7 & op1(e10, e11) = v4 &
% 233.48/45.29  |                   $i(v7) & $i(v6) & $i(v5) & $i(v4)) | ( ~ (v3 = v1) & h1(v0)
% 233.48/45.29  |                   = v1 & op2(v2, v2) = v3 & op1(e10, e10) = v0 & $i(v3) &
% 233.48/45.29  |                   $i(v1) & $i(v0))))))
% 233.48/45.29  | 
% 233.48/45.29  | ALPHA: (function-axioms) implies:
% 233.48/45.29  |   (56)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h1(v2) = v1)
% 233.48/45.29  |           |  ~ (h1(v2) = v0))
% 233.48/45.29  |   (57)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h2(v2) = v1)
% 233.48/45.29  |           |  ~ (h2(v2) = v0))
% 233.48/45.29  |   (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h3(v2) = v1)
% 233.48/45.29  |           |  ~ (h3(v2) = v0))
% 233.48/45.29  |   (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h4(v2) = v1)
% 233.48/45.29  |           |  ~ (h4(v2) = v0))
% 233.48/45.29  |   (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 233.48/45.29  |           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 233.48/45.29  |   (61)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 233.48/45.29  |           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (52) with fresh symbols all_4_0, all_4_1, all_4_2,
% 233.48/45.30  |        all_4_3 gives:
% 233.48/45.30  |   (62)  h3(e14) = all_4_1 & h3(e13) = e22 & h3(e12) = all_4_0 & h3(e11) =
% 233.48/45.30  |         all_4_2 & h3(e10) = all_4_3 & op2(all_4_1, e22) = all_4_0 & op2(e22,
% 233.48/45.30  |           all_4_0) = all_4_3 & op2(e22, all_4_2) = all_4_1 & op2(e22, e22) =
% 233.48/45.30  |         all_4_2 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3)
% 233.48/45.30  | 
% 233.48/45.30  | ALPHA: (62) implies:
% 233.48/45.30  |   (63)  op2(e22, e22) = all_4_2
% 233.48/45.30  |   (64)  op2(e22, all_4_2) = all_4_1
% 233.48/45.30  |   (65)  op2(e22, all_4_0) = all_4_3
% 233.48/45.30  |   (66)  op2(all_4_1, e22) = all_4_0
% 233.48/45.30  |   (67)  h3(e10) = all_4_3
% 233.48/45.30  |   (68)  h3(e11) = all_4_2
% 233.48/45.30  |   (69)  h3(e12) = all_4_0
% 233.48/45.30  |   (70)  h3(e13) = e22
% 233.48/45.30  |   (71)  h3(e14) = all_4_1
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (51) with fresh symbols all_6_0, all_6_1, all_6_2,
% 233.48/45.30  |        all_6_3 gives:
% 233.48/45.30  |   (72)  h2(e14) = all_6_1 & h2(e13) = e21 & h2(e12) = all_6_0 & h2(e11) =
% 233.48/45.30  |         all_6_2 & h2(e10) = all_6_3 & op2(all_6_1, e21) = all_6_0 & op2(e21,
% 233.48/45.30  |           all_6_0) = all_6_3 & op2(e21, all_6_2) = all_6_1 & op2(e21, e21) =
% 233.48/45.30  |         all_6_2 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & $i(all_6_3)
% 233.48/45.30  | 
% 233.48/45.30  | ALPHA: (72) implies:
% 233.48/45.30  |   (73)  op2(e21, e21) = all_6_2
% 233.48/45.30  |   (74)  op2(e21, all_6_2) = all_6_1
% 233.48/45.30  |   (75)  op2(e21, all_6_0) = all_6_3
% 233.48/45.30  |   (76)  op2(all_6_1, e21) = all_6_0
% 233.48/45.30  |   (77)  h2(e10) = all_6_3
% 233.48/45.30  |   (78)  h2(e11) = all_6_2
% 233.48/45.30  |   (79)  h2(e12) = all_6_0
% 233.48/45.30  |   (80)  h2(e13) = e21
% 233.48/45.30  |   (81)  h2(e14) = all_6_1
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (50) with fresh symbols all_8_0, all_8_1, all_8_2,
% 233.48/45.30  |        all_8_3 gives:
% 233.48/45.30  |   (82)  h1(e14) = all_8_1 & h1(e13) = e20 & h1(e12) = all_8_0 & h1(e11) =
% 233.48/45.30  |         all_8_2 & h1(e10) = all_8_3 & op2(all_8_1, e20) = all_8_0 & op2(e20,
% 233.48/45.30  |           all_8_0) = all_8_3 & op2(e20, all_8_2) = all_8_1 & op2(e20, e20) =
% 233.48/45.30  |         all_8_2 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3)
% 233.48/45.30  | 
% 233.48/45.30  | ALPHA: (82) implies:
% 233.48/45.30  |   (83)  op2(e20, e20) = all_8_2
% 233.48/45.30  |   (84)  op2(e20, all_8_2) = all_8_1
% 233.48/45.30  |   (85)  op2(e20, all_8_0) = all_8_3
% 233.48/45.30  |   (86)  op2(all_8_1, e20) = all_8_0
% 233.48/45.30  |   (87)  h1(e10) = all_8_3
% 233.48/45.30  |   (88)  h1(e11) = all_8_2
% 233.48/45.30  |   (89)  h1(e12) = all_8_0
% 233.48/45.30  |   (90)  h1(e13) = e20
% 233.48/45.30  |   (91)  h1(e14) = all_8_1
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (53) with fresh symbols all_10_0, all_10_1, all_10_2,
% 233.48/45.30  |        all_10_3 gives:
% 233.48/45.30  |   (92)  h4(e14) = all_10_1 & h4(e13) = e23 & h4(e12) = all_10_0 & h4(e11) =
% 233.48/45.30  |         all_10_2 & h4(e10) = all_10_3 & op2(all_10_1, e23) = all_10_0 &
% 233.48/45.30  |         op2(e23, all_10_0) = all_10_3 & op2(e23, all_10_2) = all_10_1 &
% 233.48/45.30  |         op2(e23, e23) = all_10_2 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2)
% 233.48/45.30  |         & $i(all_10_3)
% 233.48/45.30  | 
% 233.48/45.30  | ALPHA: (92) implies:
% 233.48/45.30  |   (93)  op2(e23, e23) = all_10_2
% 233.48/45.30  |   (94)  op2(e23, all_10_2) = all_10_1
% 233.48/45.30  |   (95)  op2(e23, all_10_0) = all_10_3
% 233.48/45.30  |   (96)  op2(all_10_1, e23) = all_10_0
% 233.48/45.30  |   (97)  h4(e10) = all_10_3
% 233.48/45.30  |   (98)  h4(e11) = all_10_2
% 233.48/45.30  |   (99)  h4(e12) = all_10_0
% 233.48/45.30  |   (100)  h4(e13) = e23
% 233.48/45.30  |   (101)  h4(e14) = all_10_1
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (54) with fresh symbols all_12_0, all_12_1, all_12_2,
% 233.48/45.30  |        all_12_3 gives:
% 233.48/45.30  |   (102)  h5(e14) = all_12_1 & h5(e13) = e24 & h5(e12) = all_12_0 & h5(e11) =
% 233.48/45.30  |          all_12_2 & h5(e10) = all_12_3 & op2(all_12_1, e24) = all_12_0 &
% 233.48/45.30  |          op2(e24, all_12_0) = all_12_3 & op2(e24, all_12_2) = all_12_1 &
% 233.48/45.30  |          op2(e24, e24) = all_12_2 & $i(all_12_0) & $i(all_12_1) & $i(all_12_2)
% 233.48/45.30  |          & $i(all_12_3)
% 233.48/45.30  | 
% 233.48/45.30  | ALPHA: (102) implies:
% 233.48/45.30  |   (103)  op2(e24, e24) = all_12_2
% 233.48/45.30  |   (104)  op2(e24, all_12_2) = all_12_1
% 233.48/45.30  |   (105)  op2(all_12_1, e24) = all_12_0
% 233.48/45.30  | 
% 233.48/45.30  | DELTA: instantiating (26) with fresh symbols all_14_0, all_14_1, all_14_2,
% 233.48/45.30  |        all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 233.48/45.30  |        all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15,
% 233.48/45.30  |        all_14_16, all_14_17, all_14_18, all_14_19, all_14_20, all_14_21,
% 233.48/45.30  |        all_14_22, all_14_23, all_14_24 gives:
% 233.48/45.31  |   (106)   ~ (all_14_0 = all_14_1) &  ~ (all_14_0 = all_14_2) &  ~ (all_14_0 =
% 233.48/45.31  |            all_14_3) &  ~ (all_14_0 = all_14_4) &  ~ (all_14_0 = all_14_5) & 
% 233.48/45.31  |          ~ (all_14_0 = all_14_10) &  ~ (all_14_0 = all_14_15) &  ~ (all_14_0 =
% 233.48/45.31  |            all_14_20) &  ~ (all_14_1 = all_14_2) &  ~ (all_14_1 = all_14_3) & 
% 233.48/45.31  |          ~ (all_14_1 = all_14_4) &  ~ (all_14_1 = all_14_6) &  ~ (all_14_1 =
% 233.48/45.31  |            all_14_11) &  ~ (all_14_1 = all_14_16) &  ~ (all_14_1 = all_14_21)
% 233.48/45.31  |          &  ~ (all_14_2 = all_14_3) &  ~ (all_14_2 = all_14_4) &  ~ (all_14_2
% 233.48/45.31  |            = all_14_7) &  ~ (all_14_2 = all_14_12) &  ~ (all_14_2 = all_14_17)
% 233.48/45.31  |          &  ~ (all_14_2 = all_14_22) &  ~ (all_14_3 = all_14_4) &  ~ (all_14_3
% 233.48/45.31  |            = all_14_8) &  ~ (all_14_3 = all_14_13) &  ~ (all_14_3 = all_14_18)
% 233.48/45.31  |          &  ~ (all_14_3 = all_14_23) &  ~ (all_14_4 = all_14_9) &  ~ (all_14_4
% 233.48/45.31  |            = all_14_14) &  ~ (all_14_4 = all_14_19) &  ~ (all_14_4 =
% 233.48/45.31  |            all_14_24) &  ~ (all_14_5 = all_14_6) &  ~ (all_14_5 = all_14_7) & 
% 233.48/45.31  |          ~ (all_14_5 = all_14_8) &  ~ (all_14_5 = all_14_9) &  ~ (all_14_5 =
% 233.48/45.31  |            all_14_10) &  ~ (all_14_5 = all_14_15) &  ~ (all_14_5 = all_14_20)
% 233.48/45.31  |          &  ~ (all_14_6 = all_14_7) &  ~ (all_14_6 = all_14_8) &  ~ (all_14_6
% 233.48/45.31  |            = all_14_9) &  ~ (all_14_6 = all_14_11) &  ~ (all_14_6 = all_14_16)
% 233.48/45.31  |          &  ~ (all_14_6 = all_14_21) &  ~ (all_14_7 = all_14_8) &  ~ (all_14_7
% 233.48/45.31  |            = all_14_9) &  ~ (all_14_7 = all_14_12) &  ~ (all_14_7 = all_14_17)
% 233.48/45.31  |          &  ~ (all_14_7 = all_14_22) &  ~ (all_14_8 = all_14_9) &  ~ (all_14_8
% 233.48/45.31  |            = all_14_13) &  ~ (all_14_8 = all_14_18) &  ~ (all_14_8 =
% 233.48/45.31  |            all_14_23) &  ~ (all_14_9 = all_14_14) &  ~ (all_14_9 = all_14_19)
% 233.48/45.31  |          &  ~ (all_14_9 = all_14_24) &  ~ (all_14_10 = all_14_11) &  ~
% 233.48/45.31  |          (all_14_10 = all_14_12) &  ~ (all_14_10 = all_14_13) &  ~ (all_14_10
% 233.48/45.31  |            = all_14_14) &  ~ (all_14_10 = all_14_15) &  ~ (all_14_10 =
% 233.48/45.31  |            all_14_20) &  ~ (all_14_11 = all_14_12) &  ~ (all_14_11 =
% 233.48/45.31  |            all_14_13) &  ~ (all_14_11 = all_14_14) &  ~ (all_14_11 =
% 233.48/45.31  |            all_14_16) &  ~ (all_14_11 = all_14_21) &  ~ (all_14_12 =
% 233.48/45.31  |            all_14_13) &  ~ (all_14_12 = all_14_14) &  ~ (all_14_12 =
% 233.48/45.31  |            all_14_17) &  ~ (all_14_12 = all_14_22) &  ~ (all_14_13 =
% 233.48/45.31  |            all_14_14) &  ~ (all_14_13 = all_14_18) &  ~ (all_14_13 =
% 233.48/45.31  |            all_14_23) &  ~ (all_14_14 = all_14_19) &  ~ (all_14_14 =
% 233.48/45.31  |            all_14_24) &  ~ (all_14_15 = all_14_16) &  ~ (all_14_15 =
% 233.48/45.31  |            all_14_17) &  ~ (all_14_15 = all_14_18) &  ~ (all_14_15 =
% 233.48/45.31  |            all_14_19) &  ~ (all_14_15 = all_14_20) &  ~ (all_14_16 =
% 233.48/45.31  |            all_14_17) &  ~ (all_14_16 = all_14_18) &  ~ (all_14_16 =
% 233.48/45.31  |            all_14_19) &  ~ (all_14_16 = all_14_21) &  ~ (all_14_17 =
% 233.48/45.31  |            all_14_18) &  ~ (all_14_17 = all_14_19) &  ~ (all_14_17 =
% 233.48/45.31  |            all_14_22) &  ~ (all_14_18 = all_14_19) &  ~ (all_14_18 =
% 233.48/45.31  |            all_14_23) &  ~ (all_14_19 = all_14_24) &  ~ (all_14_20 =
% 233.48/45.31  |            all_14_21) &  ~ (all_14_20 = all_14_22) &  ~ (all_14_20 =
% 233.48/45.31  |            all_14_23) &  ~ (all_14_20 = all_14_24) &  ~ (all_14_21 =
% 233.48/45.31  |            all_14_22) &  ~ (all_14_21 = all_14_23) &  ~ (all_14_21 =
% 233.48/45.31  |            all_14_24) &  ~ (all_14_22 = all_14_23) &  ~ (all_14_22 =
% 233.48/45.31  |            all_14_24) &  ~ (all_14_23 = all_14_24) & op1(e14, e14) = all_14_0
% 233.48/45.31  |          & op1(e14, e13) = all_14_5 & op1(e14, e12) = all_14_10 & op1(e14,
% 233.48/45.31  |            e11) = all_14_15 & op1(e14, e10) = all_14_20 & op1(e13, e14) =
% 233.48/45.31  |          all_14_1 & op1(e13, e13) = all_14_6 & op1(e13, e12) = all_14_11 &
% 233.48/45.31  |          op1(e13, e11) = all_14_16 & op1(e13, e10) = all_14_21 & op1(e12, e14)
% 233.48/45.31  |          = all_14_2 & op1(e12, e13) = all_14_7 & op1(e12, e12) = all_14_12 &
% 233.48/45.31  |          op1(e12, e11) = all_14_17 & op1(e12, e10) = all_14_22 & op1(e11, e14)
% 233.48/45.31  |          = all_14_3 & op1(e11, e13) = all_14_8 & op1(e11, e12) = all_14_13 &
% 233.48/45.31  |          op1(e11, e11) = all_14_18 & op1(e11, e10) = all_14_23 & op1(e10, e14)
% 233.48/45.31  |          = all_14_4 & op1(e10, e13) = all_14_9 & op1(e10, e12) = all_14_14 &
% 233.48/45.31  |          op1(e10, e11) = all_14_19 & op1(e10, e10) = all_14_24 & $i(all_14_0)
% 233.48/45.31  |          & $i(all_14_1) & $i(all_14_2) & $i(all_14_3) & $i(all_14_4) &
% 233.48/45.31  |          $i(all_14_5) & $i(all_14_6) & $i(all_14_7) & $i(all_14_8) &
% 233.48/45.31  |          $i(all_14_9) & $i(all_14_10) & $i(all_14_11) & $i(all_14_12) &
% 233.48/45.31  |          $i(all_14_13) & $i(all_14_14) & $i(all_14_15) & $i(all_14_16) &
% 233.48/45.31  |          $i(all_14_17) & $i(all_14_18) & $i(all_14_19) & $i(all_14_20) &
% 233.48/45.31  |          $i(all_14_21) & $i(all_14_22) & $i(all_14_23) & $i(all_14_24)
% 233.48/45.31  | 
% 233.48/45.31  | ALPHA: (106) implies:
% 233.48/45.31  |   (107)   ~ (all_14_23 = all_14_24)
% 233.48/45.31  |   (108)   ~ (all_14_22 = all_14_24)
% 233.48/45.31  |   (109)   ~ (all_14_22 = all_14_23)
% 233.48/45.31  |   (110)   ~ (all_14_21 = all_14_24)
% 233.48/45.31  |   (111)   ~ (all_14_21 = all_14_23)
% 233.48/45.31  |   (112)   ~ (all_14_21 = all_14_22)
% 233.48/45.31  |   (113)   ~ (all_14_20 = all_14_24)
% 233.48/45.31  |   (114)   ~ (all_14_20 = all_14_22)
% 233.48/45.31  |   (115)   ~ (all_14_20 = all_14_21)
% 233.48/45.31  |   (116)   ~ (all_14_19 = all_14_24)
% 233.48/45.31  |   (117)   ~ (all_14_18 = all_14_23)
% 233.48/45.31  |   (118)   ~ (all_14_18 = all_14_19)
% 233.48/45.31  |   (119)   ~ (all_14_17 = all_14_22)
% 233.48/45.31  |   (120)   ~ (all_14_17 = all_14_19)
% 233.48/45.31  |   (121)   ~ (all_14_17 = all_14_18)
% 233.48/45.31  |   (122)   ~ (all_14_16 = all_14_21)
% 233.48/45.31  |   (123)   ~ (all_14_16 = all_14_19)
% 233.48/45.31  |   (124)   ~ (all_14_16 = all_14_18)
% 233.48/45.31  |   (125)   ~ (all_14_16 = all_14_17)
% 233.48/45.31  |   (126)   ~ (all_14_15 = all_14_20)
% 233.48/45.31  |   (127)   ~ (all_14_15 = all_14_19)
% 233.48/45.31  |   (128)   ~ (all_14_15 = all_14_18)
% 233.48/45.31  |   (129)   ~ (all_14_15 = all_14_17)
% 233.48/45.31  |   (130)   ~ (all_14_15 = all_14_16)
% 233.48/45.31  |   (131)   ~ (all_14_14 = all_14_19)
% 233.48/45.31  |   (132)   ~ (all_14_13 = all_14_23)
% 233.48/45.31  |   (133)   ~ (all_14_13 = all_14_18)
% 233.48/45.31  |   (134)   ~ (all_14_13 = all_14_14)
% 233.48/45.31  |   (135)   ~ (all_14_12 = all_14_22)
% 233.48/45.31  |   (136)   ~ (all_14_12 = all_14_17)
% 233.48/45.31  |   (137)   ~ (all_14_12 = all_14_14)
% 233.48/45.31  |   (138)   ~ (all_14_12 = all_14_13)
% 233.48/45.31  |   (139)   ~ (all_14_11 = all_14_21)
% 233.48/45.31  |   (140)   ~ (all_14_11 = all_14_16)
% 233.48/45.31  |   (141)   ~ (all_14_11 = all_14_14)
% 233.48/45.31  |   (142)   ~ (all_14_11 = all_14_13)
% 233.48/45.31  |   (143)   ~ (all_14_11 = all_14_12)
% 233.48/45.31  |   (144)   ~ (all_14_10 = all_14_20)
% 233.48/45.31  |   (145)   ~ (all_14_10 = all_14_15)
% 233.48/45.31  |   (146)   ~ (all_14_10 = all_14_14)
% 233.48/45.31  |   (147)   ~ (all_14_10 = all_14_13)
% 233.48/45.31  |   (148)   ~ (all_14_10 = all_14_12)
% 233.48/45.31  |   (149)   ~ (all_14_10 = all_14_11)
% 233.48/45.31  |   (150)   ~ (all_14_9 = all_14_24)
% 233.48/45.31  |   (151)   ~ (all_14_9 = all_14_19)
% 233.48/45.31  |   (152)   ~ (all_14_9 = all_14_14)
% 233.48/45.31  |   (153)   ~ (all_14_8 = all_14_23)
% 233.48/45.31  |   (154)   ~ (all_14_8 = all_14_18)
% 233.48/45.31  |   (155)   ~ (all_14_8 = all_14_13)
% 233.48/45.31  |   (156)   ~ (all_14_8 = all_14_9)
% 233.48/45.31  |   (157)   ~ (all_14_7 = all_14_22)
% 233.48/45.31  |   (158)   ~ (all_14_7 = all_14_17)
% 233.48/45.31  |   (159)   ~ (all_14_7 = all_14_12)
% 233.48/45.31  |   (160)   ~ (all_14_7 = all_14_9)
% 233.48/45.31  |   (161)   ~ (all_14_7 = all_14_8)
% 233.48/45.31  |   (162)   ~ (all_14_6 = all_14_21)
% 233.48/45.31  |   (163)   ~ (all_14_6 = all_14_16)
% 233.48/45.31  |   (164)   ~ (all_14_6 = all_14_11)
% 233.48/45.31  |   (165)   ~ (all_14_6 = all_14_9)
% 233.48/45.31  |   (166)   ~ (all_14_6 = all_14_8)
% 233.48/45.31  |   (167)   ~ (all_14_6 = all_14_7)
% 233.48/45.31  |   (168)   ~ (all_14_5 = all_14_20)
% 233.48/45.31  |   (169)   ~ (all_14_5 = all_14_15)
% 233.48/45.31  |   (170)   ~ (all_14_5 = all_14_10)
% 233.48/45.31  |   (171)   ~ (all_14_5 = all_14_9)
% 233.48/45.31  |   (172)   ~ (all_14_5 = all_14_8)
% 233.48/45.31  |   (173)   ~ (all_14_5 = all_14_7)
% 233.48/45.31  |   (174)   ~ (all_14_5 = all_14_6)
% 233.48/45.31  |   (175)   ~ (all_14_4 = all_14_24)
% 233.48/45.31  |   (176)   ~ (all_14_4 = all_14_19)
% 233.48/45.31  |   (177)   ~ (all_14_4 = all_14_9)
% 233.48/45.31  |   (178)   ~ (all_14_3 = all_14_23)
% 233.48/45.31  |   (179)   ~ (all_14_3 = all_14_18)
% 233.48/45.31  |   (180)   ~ (all_14_3 = all_14_13)
% 233.48/45.31  |   (181)   ~ (all_14_3 = all_14_8)
% 233.48/45.31  |   (182)   ~ (all_14_3 = all_14_4)
% 233.48/45.31  |   (183)   ~ (all_14_2 = all_14_22)
% 233.48/45.31  |   (184)   ~ (all_14_2 = all_14_17)
% 233.48/45.31  |   (185)   ~ (all_14_2 = all_14_12)
% 233.48/45.31  |   (186)   ~ (all_14_2 = all_14_7)
% 233.48/45.31  |   (187)   ~ (all_14_2 = all_14_4)
% 233.48/45.31  |   (188)   ~ (all_14_2 = all_14_3)
% 233.48/45.31  |   (189)   ~ (all_14_1 = all_14_21)
% 233.48/45.31  |   (190)   ~ (all_14_1 = all_14_16)
% 233.48/45.32  |   (191)   ~ (all_14_1 = all_14_11)
% 233.48/45.32  |   (192)   ~ (all_14_1 = all_14_6)
% 233.48/45.32  |   (193)   ~ (all_14_1 = all_14_4)
% 233.48/45.32  |   (194)   ~ (all_14_1 = all_14_3)
% 233.48/45.32  |   (195)   ~ (all_14_1 = all_14_2)
% 233.48/45.32  |   (196)   ~ (all_14_0 = all_14_20)
% 233.48/45.32  |   (197)   ~ (all_14_0 = all_14_15)
% 233.48/45.32  |   (198)   ~ (all_14_0 = all_14_10)
% 233.48/45.32  |   (199)   ~ (all_14_0 = all_14_4)
% 233.48/45.32  |   (200)   ~ (all_14_0 = all_14_3)
% 233.48/45.32  |   (201)   ~ (all_14_0 = all_14_2)
% 233.48/45.32  |   (202)   ~ (all_14_0 = all_14_1)
% 233.48/45.32  |   (203)  op1(e10, e10) = all_14_24
% 233.48/45.32  |   (204)  op1(e10, e11) = all_14_19
% 233.48/45.32  |   (205)  op1(e10, e12) = all_14_14
% 233.48/45.32  |   (206)  op1(e10, e13) = all_14_9
% 233.48/45.32  |   (207)  op1(e10, e14) = all_14_4
% 233.48/45.32  |   (208)  op1(e11, e10) = all_14_23
% 233.48/45.32  |   (209)  op1(e11, e11) = all_14_18
% 233.48/45.32  |   (210)  op1(e11, e12) = all_14_13
% 233.48/45.32  |   (211)  op1(e11, e13) = all_14_8
% 233.48/45.32  |   (212)  op1(e11, e14) = all_14_3
% 233.48/45.32  |   (213)  op1(e12, e10) = all_14_22
% 233.48/45.32  |   (214)  op1(e12, e11) = all_14_17
% 233.48/45.32  |   (215)  op1(e12, e12) = all_14_12
% 233.48/45.32  |   (216)  op1(e12, e13) = all_14_7
% 233.48/45.32  |   (217)  op1(e12, e14) = all_14_2
% 233.48/45.32  |   (218)  op1(e13, e10) = all_14_21
% 233.48/45.32  |   (219)  op1(e13, e11) = all_14_16
% 233.48/45.32  |   (220)  op1(e13, e12) = all_14_11
% 233.48/45.32  |   (221)  op1(e13, e13) = all_14_6
% 233.48/45.32  |   (222)  op1(e13, e14) = all_14_1
% 233.48/45.32  |   (223)  op1(e14, e10) = all_14_20
% 233.48/45.32  |   (224)  op1(e14, e11) = all_14_15
% 233.48/45.32  |   (225)  op1(e14, e12) = all_14_10
% 233.48/45.32  |   (226)  op1(e14, e13) = all_14_5
% 233.48/45.32  |   (227)  op1(e14, e14) = all_14_0
% 233.48/45.32  | 
% 233.48/45.32  | DELTA: instantiating (27) with fresh symbols all_16_0, all_16_1, all_16_2,
% 233.48/45.32  |        all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 233.48/45.32  |        all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15,
% 233.48/45.32  |        all_16_16, all_16_17, all_16_18, all_16_19, all_16_20, all_16_21,
% 233.48/45.32  |        all_16_22, all_16_23, all_16_24 gives:
% 233.79/45.32  |   (228)   ~ (all_16_0 = all_16_1) &  ~ (all_16_0 = all_16_2) &  ~ (all_16_0 =
% 233.79/45.32  |            all_16_3) &  ~ (all_16_0 = all_16_4) &  ~ (all_16_0 = all_16_5) & 
% 233.79/45.32  |          ~ (all_16_0 = all_16_10) &  ~ (all_16_0 = all_16_15) &  ~ (all_16_0 =
% 233.79/45.32  |            all_16_20) &  ~ (all_16_1 = all_16_2) &  ~ (all_16_1 = all_16_3) & 
% 233.79/45.32  |          ~ (all_16_1 = all_16_4) &  ~ (all_16_1 = all_16_6) &  ~ (all_16_1 =
% 233.79/45.32  |            all_16_11) &  ~ (all_16_1 = all_16_16) &  ~ (all_16_1 = all_16_21)
% 233.79/45.32  |          &  ~ (all_16_2 = all_16_3) &  ~ (all_16_2 = all_16_4) &  ~ (all_16_2
% 233.79/45.32  |            = all_16_7) &  ~ (all_16_2 = all_16_12) &  ~ (all_16_2 = all_16_17)
% 233.79/45.32  |          &  ~ (all_16_2 = all_16_22) &  ~ (all_16_3 = all_16_4) &  ~ (all_16_3
% 233.79/45.32  |            = all_16_8) &  ~ (all_16_3 = all_16_13) &  ~ (all_16_3 = all_16_18)
% 233.79/45.32  |          &  ~ (all_16_3 = all_16_23) &  ~ (all_16_4 = all_16_9) &  ~ (all_16_4
% 233.79/45.32  |            = all_16_14) &  ~ (all_16_4 = all_16_19) &  ~ (all_16_4 =
% 233.79/45.32  |            all_16_24) &  ~ (all_16_5 = all_16_6) &  ~ (all_16_5 = all_16_7) & 
% 233.79/45.32  |          ~ (all_16_5 = all_16_8) &  ~ (all_16_5 = all_16_9) &  ~ (all_16_5 =
% 233.79/45.32  |            all_16_10) &  ~ (all_16_5 = all_16_15) &  ~ (all_16_5 = all_16_20)
% 233.79/45.32  |          &  ~ (all_16_6 = all_16_7) &  ~ (all_16_6 = all_16_8) &  ~ (all_16_6
% 233.79/45.32  |            = all_16_9) &  ~ (all_16_6 = all_16_11) &  ~ (all_16_6 = all_16_16)
% 233.79/45.32  |          &  ~ (all_16_6 = all_16_21) &  ~ (all_16_7 = all_16_8) &  ~ (all_16_7
% 233.79/45.32  |            = all_16_9) &  ~ (all_16_7 = all_16_12) &  ~ (all_16_7 = all_16_17)
% 233.79/45.32  |          &  ~ (all_16_7 = all_16_22) &  ~ (all_16_8 = all_16_9) &  ~ (all_16_8
% 233.79/45.32  |            = all_16_13) &  ~ (all_16_8 = all_16_18) &  ~ (all_16_8 =
% 233.79/45.32  |            all_16_23) &  ~ (all_16_9 = all_16_14) &  ~ (all_16_9 = all_16_19)
% 233.79/45.32  |          &  ~ (all_16_9 = all_16_24) &  ~ (all_16_10 = all_16_11) &  ~
% 233.79/45.32  |          (all_16_10 = all_16_12) &  ~ (all_16_10 = all_16_13) &  ~ (all_16_10
% 233.79/45.32  |            = all_16_14) &  ~ (all_16_10 = all_16_15) &  ~ (all_16_10 =
% 233.79/45.32  |            all_16_20) &  ~ (all_16_11 = all_16_12) &  ~ (all_16_11 =
% 233.79/45.32  |            all_16_13) &  ~ (all_16_11 = all_16_14) &  ~ (all_16_11 =
% 233.79/45.32  |            all_16_16) &  ~ (all_16_11 = all_16_21) &  ~ (all_16_12 =
% 233.79/45.32  |            all_16_13) &  ~ (all_16_12 = all_16_14) &  ~ (all_16_12 =
% 233.79/45.32  |            all_16_17) &  ~ (all_16_12 = all_16_22) &  ~ (all_16_13 =
% 233.79/45.32  |            all_16_14) &  ~ (all_16_13 = all_16_18) &  ~ (all_16_13 =
% 233.79/45.32  |            all_16_23) &  ~ (all_16_14 = all_16_19) &  ~ (all_16_14 =
% 233.79/45.32  |            all_16_24) &  ~ (all_16_15 = all_16_16) &  ~ (all_16_15 =
% 233.79/45.32  |            all_16_17) &  ~ (all_16_15 = all_16_18) &  ~ (all_16_15 =
% 233.79/45.32  |            all_16_19) &  ~ (all_16_15 = all_16_20) &  ~ (all_16_16 =
% 233.79/45.32  |            all_16_17) &  ~ (all_16_16 = all_16_18) &  ~ (all_16_16 =
% 233.79/45.32  |            all_16_19) &  ~ (all_16_16 = all_16_21) &  ~ (all_16_17 =
% 233.79/45.32  |            all_16_18) &  ~ (all_16_17 = all_16_19) &  ~ (all_16_17 =
% 233.79/45.32  |            all_16_22) &  ~ (all_16_18 = all_16_19) &  ~ (all_16_18 =
% 233.79/45.32  |            all_16_23) &  ~ (all_16_19 = all_16_24) &  ~ (all_16_20 =
% 233.79/45.32  |            all_16_21) &  ~ (all_16_20 = all_16_22) &  ~ (all_16_20 =
% 233.79/45.32  |            all_16_23) &  ~ (all_16_20 = all_16_24) &  ~ (all_16_21 =
% 233.79/45.32  |            all_16_22) &  ~ (all_16_21 = all_16_23) &  ~ (all_16_21 =
% 233.79/45.32  |            all_16_24) &  ~ (all_16_22 = all_16_23) &  ~ (all_16_22 =
% 233.79/45.32  |            all_16_24) &  ~ (all_16_23 = all_16_24) & op2(e24, e24) = all_16_0
% 233.79/45.32  |          & op2(e24, e23) = all_16_5 & op2(e24, e22) = all_16_10 & op2(e24,
% 233.79/45.32  |            e21) = all_16_15 & op2(e24, e20) = all_16_20 & op2(e23, e24) =
% 233.79/45.32  |          all_16_1 & op2(e23, e23) = all_16_6 & op2(e23, e22) = all_16_11 &
% 233.79/45.32  |          op2(e23, e21) = all_16_16 & op2(e23, e20) = all_16_21 & op2(e22, e24)
% 233.79/45.32  |          = all_16_2 & op2(e22, e23) = all_16_7 & op2(e22, e22) = all_16_12 &
% 233.79/45.32  |          op2(e22, e21) = all_16_17 & op2(e22, e20) = all_16_22 & op2(e21, e24)
% 233.79/45.32  |          = all_16_3 & op2(e21, e23) = all_16_8 & op2(e21, e22) = all_16_13 &
% 233.79/45.32  |          op2(e21, e21) = all_16_18 & op2(e21, e20) = all_16_23 & op2(e20, e24)
% 233.79/45.32  |          = all_16_4 & op2(e20, e23) = all_16_9 & op2(e20, e22) = all_16_14 &
% 233.79/45.32  |          op2(e20, e21) = all_16_19 & op2(e20, e20) = all_16_24 & $i(all_16_0)
% 233.79/45.32  |          & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) & $i(all_16_4) &
% 233.79/45.32  |          $i(all_16_5) & $i(all_16_6) & $i(all_16_7) & $i(all_16_8) &
% 233.79/45.32  |          $i(all_16_9) & $i(all_16_10) & $i(all_16_11) & $i(all_16_12) &
% 233.79/45.32  |          $i(all_16_13) & $i(all_16_14) & $i(all_16_15) & $i(all_16_16) &
% 233.79/45.32  |          $i(all_16_17) & $i(all_16_18) & $i(all_16_19) & $i(all_16_20) &
% 233.79/45.32  |          $i(all_16_21) & $i(all_16_22) & $i(all_16_23) & $i(all_16_24)
% 233.79/45.32  | 
% 233.79/45.32  | ALPHA: (228) implies:
% 233.79/45.32  |   (229)   ~ (all_16_23 = all_16_24)
% 233.79/45.32  |   (230)   ~ (all_16_22 = all_16_24)
% 233.79/45.32  |   (231)   ~ (all_16_22 = all_16_23)
% 233.79/45.32  |   (232)   ~ (all_16_21 = all_16_24)
% 233.79/45.32  |   (233)   ~ (all_16_21 = all_16_23)
% 233.79/45.32  |   (234)   ~ (all_16_21 = all_16_22)
% 233.79/45.32  |   (235)   ~ (all_16_20 = all_16_24)
% 233.79/45.32  |   (236)   ~ (all_16_20 = all_16_23)
% 233.79/45.32  |   (237)   ~ (all_16_20 = all_16_22)
% 233.79/45.32  |   (238)   ~ (all_16_20 = all_16_21)
% 233.79/45.32  |   (239)   ~ (all_16_19 = all_16_24)
% 233.79/45.32  |   (240)   ~ (all_16_18 = all_16_23)
% 233.79/45.32  |   (241)   ~ (all_16_18 = all_16_19)
% 233.79/45.32  |   (242)   ~ (all_16_17 = all_16_22)
% 233.79/45.32  |   (243)   ~ (all_16_17 = all_16_19)
% 233.79/45.32  |   (244)   ~ (all_16_17 = all_16_18)
% 233.79/45.32  |   (245)   ~ (all_16_16 = all_16_21)
% 233.79/45.32  |   (246)   ~ (all_16_16 = all_16_19)
% 233.79/45.32  |   (247)   ~ (all_16_16 = all_16_18)
% 233.79/45.32  |   (248)   ~ (all_16_16 = all_16_17)
% 233.79/45.32  |   (249)   ~ (all_16_15 = all_16_20)
% 233.79/45.32  |   (250)   ~ (all_16_15 = all_16_19)
% 233.79/45.32  |   (251)   ~ (all_16_15 = all_16_18)
% 233.79/45.32  |   (252)   ~ (all_16_15 = all_16_17)
% 233.79/45.32  |   (253)   ~ (all_16_15 = all_16_16)
% 233.79/45.33  |   (254)   ~ (all_16_14 = all_16_24)
% 233.79/45.33  |   (255)   ~ (all_16_13 = all_16_23)
% 233.79/45.33  |   (256)   ~ (all_16_13 = all_16_18)
% 233.79/45.33  |   (257)   ~ (all_16_13 = all_16_14)
% 233.79/45.33  |   (258)   ~ (all_16_12 = all_16_22)
% 233.79/45.33  |   (259)   ~ (all_16_12 = all_16_17)
% 233.79/45.33  |   (260)   ~ (all_16_12 = all_16_14)
% 233.79/45.33  |   (261)   ~ (all_16_12 = all_16_13)
% 233.79/45.33  |   (262)   ~ (all_16_11 = all_16_21)
% 233.79/45.33  |   (263)   ~ (all_16_11 = all_16_16)
% 233.79/45.33  |   (264)   ~ (all_16_11 = all_16_14)
% 233.79/45.33  |   (265)   ~ (all_16_11 = all_16_13)
% 233.79/45.33  |   (266)   ~ (all_16_11 = all_16_12)
% 233.79/45.33  |   (267)   ~ (all_16_10 = all_16_20)
% 233.79/45.33  |   (268)   ~ (all_16_10 = all_16_15)
% 233.79/45.33  |   (269)   ~ (all_16_10 = all_16_14)
% 233.79/45.33  |   (270)   ~ (all_16_10 = all_16_13)
% 233.79/45.33  |   (271)   ~ (all_16_10 = all_16_12)
% 233.79/45.33  |   (272)   ~ (all_16_10 = all_16_11)
% 233.79/45.33  |   (273)   ~ (all_16_9 = all_16_24)
% 233.79/45.33  |   (274)   ~ (all_16_9 = all_16_19)
% 233.79/45.33  |   (275)   ~ (all_16_9 = all_16_14)
% 233.79/45.33  |   (276)   ~ (all_16_8 = all_16_23)
% 233.79/45.33  |   (277)   ~ (all_16_8 = all_16_18)
% 233.79/45.33  |   (278)   ~ (all_16_8 = all_16_13)
% 233.79/45.33  |   (279)   ~ (all_16_8 = all_16_9)
% 233.79/45.33  |   (280)   ~ (all_16_7 = all_16_22)
% 233.79/45.33  |   (281)   ~ (all_16_7 = all_16_17)
% 233.79/45.33  |   (282)   ~ (all_16_7 = all_16_12)
% 233.79/45.33  |   (283)   ~ (all_16_7 = all_16_9)
% 233.79/45.33  |   (284)   ~ (all_16_7 = all_16_8)
% 233.79/45.33  |   (285)   ~ (all_16_6 = all_16_21)
% 233.79/45.33  |   (286)   ~ (all_16_6 = all_16_16)
% 233.79/45.33  |   (287)   ~ (all_16_6 = all_16_11)
% 233.79/45.33  |   (288)   ~ (all_16_6 = all_16_9)
% 233.79/45.33  |   (289)   ~ (all_16_6 = all_16_8)
% 233.79/45.33  |   (290)   ~ (all_16_6 = all_16_7)
% 233.79/45.33  |   (291)   ~ (all_16_5 = all_16_20)
% 233.79/45.33  |   (292)   ~ (all_16_5 = all_16_15)
% 233.79/45.33  |   (293)   ~ (all_16_5 = all_16_10)
% 233.79/45.33  |   (294)   ~ (all_16_5 = all_16_9)
% 233.79/45.33  |   (295)   ~ (all_16_5 = all_16_8)
% 233.79/45.33  |   (296)   ~ (all_16_5 = all_16_7)
% 233.79/45.33  |   (297)   ~ (all_16_5 = all_16_6)
% 233.79/45.33  |   (298)   ~ (all_16_4 = all_16_24)
% 233.79/45.33  |   (299)   ~ (all_16_4 = all_16_19)
% 233.79/45.33  |   (300)   ~ (all_16_4 = all_16_14)
% 233.79/45.33  |   (301)   ~ (all_16_4 = all_16_9)
% 233.79/45.33  |   (302)   ~ (all_16_3 = all_16_23)
% 233.79/45.33  |   (303)   ~ (all_16_3 = all_16_18)
% 233.79/45.33  |   (304)   ~ (all_16_3 = all_16_13)
% 233.79/45.33  |   (305)   ~ (all_16_3 = all_16_8)
% 233.79/45.33  |   (306)   ~ (all_16_3 = all_16_4)
% 233.79/45.33  |   (307)   ~ (all_16_2 = all_16_22)
% 233.79/45.33  |   (308)   ~ (all_16_2 = all_16_17)
% 233.79/45.33  |   (309)   ~ (all_16_2 = all_16_12)
% 233.79/45.33  |   (310)   ~ (all_16_2 = all_16_7)
% 233.79/45.33  |   (311)   ~ (all_16_2 = all_16_4)
% 233.79/45.33  |   (312)   ~ (all_16_2 = all_16_3)
% 233.79/45.33  |   (313)   ~ (all_16_1 = all_16_21)
% 233.79/45.33  |   (314)   ~ (all_16_1 = all_16_16)
% 233.79/45.33  |   (315)   ~ (all_16_1 = all_16_11)
% 233.79/45.33  |   (316)   ~ (all_16_1 = all_16_6)
% 233.79/45.33  |   (317)   ~ (all_16_1 = all_16_4)
% 233.79/45.33  |   (318)   ~ (all_16_1 = all_16_3)
% 233.79/45.33  |   (319)   ~ (all_16_1 = all_16_2)
% 233.79/45.33  |   (320)   ~ (all_16_0 = all_16_20)
% 233.79/45.33  |   (321)   ~ (all_16_0 = all_16_15)
% 233.79/45.33  |   (322)   ~ (all_16_0 = all_16_10)
% 233.79/45.33  |   (323)   ~ (all_16_0 = all_16_5)
% 233.79/45.33  |   (324)   ~ (all_16_0 = all_16_4)
% 233.79/45.33  |   (325)   ~ (all_16_0 = all_16_3)
% 233.79/45.33  |   (326)   ~ (all_16_0 = all_16_2)
% 233.79/45.33  |   (327)   ~ (all_16_0 = all_16_1)
% 233.79/45.33  |   (328)  op2(e20, e20) = all_16_24
% 233.79/45.33  |   (329)  op2(e20, e21) = all_16_19
% 233.79/45.33  |   (330)  op2(e20, e22) = all_16_14
% 233.79/45.33  |   (331)  op2(e20, e23) = all_16_9
% 233.79/45.33  |   (332)  op2(e20, e24) = all_16_4
% 233.79/45.33  |   (333)  op2(e21, e20) = all_16_23
% 233.79/45.33  |   (334)  op2(e21, e21) = all_16_18
% 233.79/45.33  |   (335)  op2(e21, e22) = all_16_13
% 233.79/45.33  |   (336)  op2(e21, e23) = all_16_8
% 233.79/45.33  |   (337)  op2(e21, e24) = all_16_3
% 233.79/45.33  |   (338)  op2(e22, e20) = all_16_22
% 233.79/45.33  |   (339)  op2(e22, e21) = all_16_17
% 233.79/45.33  |   (340)  op2(e22, e22) = all_16_12
% 233.79/45.33  |   (341)  op2(e22, e23) = all_16_7
% 233.79/45.33  |   (342)  op2(e22, e24) = all_16_2
% 233.79/45.33  |   (343)  op2(e23, e20) = all_16_21
% 233.79/45.33  |   (344)  op2(e23, e21) = all_16_16
% 233.79/45.33  |   (345)  op2(e23, e22) = all_16_11
% 233.79/45.33  |   (346)  op2(e23, e23) = all_16_6
% 233.79/45.33  |   (347)  op2(e23, e24) = all_16_1
% 233.79/45.33  |   (348)  op2(e24, e20) = all_16_20
% 233.79/45.33  |   (349)  op2(e24, e21) = all_16_15
% 233.79/45.33  |   (350)  op2(e24, e22) = all_16_10
% 233.79/45.33  |   (351)  op2(e24, e23) = all_16_5
% 233.79/45.33  |   (352)  op2(e24, e24) = all_16_0
% 233.79/45.33  | 
% 233.79/45.33  | DELTA: instantiating (1) with fresh symbols all_18_0, all_18_1, all_18_2,
% 233.79/45.33  |        all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 233.79/45.33  |        all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15,
% 233.79/45.33  |        all_18_16, all_18_17, all_18_18, all_18_19, all_18_20, all_18_21,
% 233.79/45.33  |        all_18_22, all_18_23, all_18_24 gives:
% 233.79/45.34  |   (353)  op1(e14, e14) = all_18_0 & op1(e14, e13) = all_18_1 & op1(e14, e12) =
% 233.79/45.34  |          all_18_2 & op1(e14, e11) = all_18_3 & op1(e14, e10) = all_18_4 &
% 233.79/45.34  |          op1(e13, e14) = all_18_5 & op1(e13, e13) = all_18_6 & op1(e13, e12) =
% 233.79/45.34  |          all_18_7 & op1(e13, e11) = all_18_8 & op1(e13, e10) = all_18_9 &
% 233.79/45.34  |          op1(e12, e14) = all_18_10 & op1(e12, e13) = all_18_11 & op1(e12, e12)
% 233.79/45.34  |          = all_18_12 & op1(e12, e11) = all_18_13 & op1(e12, e10) = all_18_14 &
% 233.79/45.34  |          op1(e11, e14) = all_18_15 & op1(e11, e13) = all_18_16 & op1(e11, e12)
% 233.79/45.34  |          = all_18_17 & op1(e11, e11) = all_18_18 & op1(e11, e10) = all_18_19 &
% 233.79/45.34  |          op1(e10, e14) = all_18_20 & op1(e10, e13) = all_18_21 & op1(e10, e12)
% 233.79/45.34  |          = all_18_22 & op1(e10, e11) = all_18_23 & op1(e10, e10) = all_18_24 &
% 233.79/45.34  |          $i(all_18_0) & $i(all_18_1) & $i(all_18_2) & $i(all_18_3) &
% 233.79/45.34  |          $i(all_18_4) & $i(all_18_5) & $i(all_18_6) & $i(all_18_7) &
% 233.79/45.34  |          $i(all_18_8) & $i(all_18_9) & $i(all_18_10) & $i(all_18_11) &
% 233.79/45.34  |          $i(all_18_12) & $i(all_18_13) & $i(all_18_14) & $i(all_18_15) &
% 233.79/45.34  |          $i(all_18_16) & $i(all_18_17) & $i(all_18_18) & $i(all_18_19) &
% 233.79/45.34  |          $i(all_18_20) & $i(all_18_21) & $i(all_18_22) & $i(all_18_23) &
% 233.79/45.34  |          $i(all_18_24) & (all_18_0 = e14 | all_18_0 = e13 | all_18_0 = e12 |
% 233.79/45.34  |            all_18_0 = e11 | all_18_0 = e10) & (all_18_1 = e14 | all_18_1 = e13
% 233.79/45.34  |            | all_18_1 = e12 | all_18_1 = e11 | all_18_1 = e10) & (all_18_2 =
% 233.79/45.34  |            e14 | all_18_2 = e13 | all_18_2 = e12 | all_18_2 = e11 | all_18_2 =
% 233.79/45.34  |            e10) & (all_18_3 = e14 | all_18_3 = e13 | all_18_3 = e12 | all_18_3
% 233.79/45.34  |            = e11 | all_18_3 = e10) & (all_18_4 = e14 | all_18_4 = e13 |
% 233.79/45.34  |            all_18_4 = e12 | all_18_4 = e11 | all_18_4 = e10) & (all_18_5 = e14
% 233.79/45.34  |            | all_18_5 = e13 | all_18_5 = e12 | all_18_5 = e11 | all_18_5 =
% 233.79/45.34  |            e10) & (all_18_6 = e14 | all_18_6 = e13 | all_18_6 = e12 | all_18_6
% 233.79/45.34  |            = e11 | all_18_6 = e10) & (all_18_7 = e14 | all_18_7 = e13 |
% 233.79/45.34  |            all_18_7 = e12 | all_18_7 = e11 | all_18_7 = e10) & (all_18_8 = e14
% 233.79/45.34  |            | all_18_8 = e13 | all_18_8 = e12 | all_18_8 = e11 | all_18_8 =
% 233.79/45.34  |            e10) & (all_18_9 = e14 | all_18_9 = e13 | all_18_9 = e12 | all_18_9
% 233.79/45.34  |            = e11 | all_18_9 = e10) & (all_18_10 = e14 | all_18_10 = e13 |
% 233.79/45.34  |            all_18_10 = e12 | all_18_10 = e11 | all_18_10 = e10) & (all_18_11 =
% 233.79/45.34  |            e14 | all_18_11 = e13 | all_18_11 = e12 | all_18_11 = e11 |
% 233.79/45.34  |            all_18_11 = e10) & (all_18_12 = e14 | all_18_12 = e13 | all_18_12 =
% 233.79/45.34  |            e12 | all_18_12 = e11 | all_18_12 = e10) & (all_18_13 = e14 |
% 233.79/45.34  |            all_18_13 = e13 | all_18_13 = e12 | all_18_13 = e11 | all_18_13 =
% 233.79/45.34  |            e10) & (all_18_14 = e14 | all_18_14 = e13 | all_18_14 = e12 |
% 233.79/45.34  |            all_18_14 = e11 | all_18_14 = e10) & (all_18_15 = e14 | all_18_15 =
% 233.79/45.34  |            e13 | all_18_15 = e12 | all_18_15 = e11 | all_18_15 = e10) &
% 233.79/45.34  |          (all_18_16 = e14 | all_18_16 = e13 | all_18_16 = e12 | all_18_16 =
% 233.79/45.34  |            e11 | all_18_16 = e10) & (all_18_17 = e14 | all_18_17 = e13 |
% 233.79/45.34  |            all_18_17 = e12 | all_18_17 = e11 | all_18_17 = e10) & (all_18_18 =
% 233.79/45.34  |            e14 | all_18_18 = e13 | all_18_18 = e12 | all_18_18 = e11 |
% 233.79/45.34  |            all_18_18 = e10) & (all_18_19 = e14 | all_18_19 = e13 | all_18_19 =
% 233.79/45.34  |            e12 | all_18_19 = e11 | all_18_19 = e10) & (all_18_20 = e14 |
% 233.79/45.34  |            all_18_20 = e13 | all_18_20 = e12 | all_18_20 = e11 | all_18_20 =
% 233.79/45.34  |            e10) & (all_18_21 = e14 | all_18_21 = e13 | all_18_21 = e12 |
% 233.79/45.34  |            all_18_21 = e11 | all_18_21 = e10) & (all_18_22 = e14 | all_18_22 =
% 233.79/45.34  |            e13 | all_18_22 = e12 | all_18_22 = e11 | all_18_22 = e10) &
% 233.79/45.34  |          (all_18_23 = e14 | all_18_23 = e13 | all_18_23 = e12 | all_18_23 =
% 233.79/45.34  |            e11 | all_18_23 = e10) & (all_18_24 = e14 | all_18_24 = e13 |
% 233.79/45.34  |            all_18_24 = e12 | all_18_24 = e11 | all_18_24 = e10)
% 233.79/45.34  | 
% 233.79/45.34  | ALPHA: (353) implies:
% 233.79/45.34  |   (354)  op1(e10, e10) = all_18_24
% 233.79/45.34  |   (355)  op1(e10, e11) = all_18_23
% 233.79/45.34  |   (356)  op1(e10, e12) = all_18_22
% 233.79/45.34  |   (357)  op1(e10, e13) = all_18_21
% 233.79/45.34  |   (358)  op1(e10, e14) = all_18_20
% 233.79/45.34  |   (359)  op1(e11, e10) = all_18_19
% 233.79/45.34  |   (360)  op1(e11, e11) = all_18_18
% 233.79/45.34  |   (361)  op1(e11, e12) = all_18_17
% 233.79/45.34  |   (362)  op1(e11, e13) = all_18_16
% 233.79/45.34  |   (363)  op1(e11, e14) = all_18_15
% 233.79/45.34  |   (364)  op1(e12, e10) = all_18_14
% 233.79/45.34  |   (365)  op1(e12, e11) = all_18_13
% 233.79/45.34  |   (366)  op1(e12, e12) = all_18_12
% 233.79/45.34  |   (367)  op1(e12, e13) = all_18_11
% 233.79/45.34  |   (368)  op1(e12, e14) = all_18_10
% 233.79/45.34  |   (369)  op1(e13, e10) = all_18_9
% 233.79/45.34  |   (370)  op1(e13, e11) = all_18_8
% 233.79/45.34  |   (371)  op1(e13, e12) = all_18_7
% 233.79/45.34  |   (372)  op1(e13, e13) = all_18_6
% 233.79/45.34  |   (373)  op1(e13, e14) = all_18_5
% 233.79/45.34  |   (374)  op1(e14, e10) = all_18_4
% 233.79/45.34  |   (375)  op1(e14, e11) = all_18_3
% 233.79/45.34  |   (376)  op1(e14, e12) = all_18_2
% 233.79/45.34  |   (377)  op1(e14, e13) = all_18_1
% 233.79/45.34  |   (378)  op1(e14, e14) = all_18_0
% 233.79/45.34  |   (379)  all_18_23 = e14 | all_18_23 = e13 | all_18_23 = e12 | all_18_23 = e11
% 233.79/45.34  |          | all_18_23 = e10
% 233.79/45.34  |   (380)  all_18_21 = e14 | all_18_21 = e13 | all_18_21 = e12 | all_18_21 = e11
% 233.79/45.34  |          | all_18_21 = e10
% 233.79/45.34  |   (381)  all_18_18 = e14 | all_18_18 = e13 | all_18_18 = e12 | all_18_18 = e11
% 233.79/45.34  |          | all_18_18 = e10
% 233.79/45.34  |   (382)  all_18_16 = e14 | all_18_16 = e13 | all_18_16 = e12 | all_18_16 = e11
% 233.79/45.34  |          | all_18_16 = e10
% 233.79/45.34  |   (383)  all_18_15 = e14 | all_18_15 = e13 | all_18_15 = e12 | all_18_15 = e11
% 233.79/45.34  |          | all_18_15 = e10
% 233.79/45.34  |   (384)  all_18_13 = e14 | all_18_13 = e13 | all_18_13 = e12 | all_18_13 = e11
% 233.79/45.34  |          | all_18_13 = e10
% 233.79/45.34  |   (385)  all_18_12 = e14 | all_18_12 = e13 | all_18_12 = e12 | all_18_12 = e11
% 233.79/45.34  |          | all_18_12 = e10
% 233.79/45.34  |   (386)  all_18_11 = e14 | all_18_11 = e13 | all_18_11 = e12 | all_18_11 = e11
% 233.79/45.34  |          | all_18_11 = e10
% 233.79/45.34  |   (387)  all_18_10 = e14 | all_18_10 = e13 | all_18_10 = e12 | all_18_10 = e11
% 233.79/45.34  |          | all_18_10 = e10
% 233.79/45.34  |   (388)  all_18_9 = e14 | all_18_9 = e13 | all_18_9 = e12 | all_18_9 = e11 |
% 233.79/45.34  |          all_18_9 = e10
% 233.79/45.34  |   (389)  all_18_5 = e14 | all_18_5 = e13 | all_18_5 = e12 | all_18_5 = e11 |
% 233.79/45.34  |          all_18_5 = e10
% 233.79/45.34  |   (390)  all_18_3 = e14 | all_18_3 = e13 | all_18_3 = e12 | all_18_3 = e11 |
% 233.79/45.34  |          all_18_3 = e10
% 233.79/45.34  |   (391)  all_18_2 = e14 | all_18_2 = e13 | all_18_2 = e12 | all_18_2 = e11 |
% 233.79/45.34  |          all_18_2 = e10
% 233.79/45.34  | 
% 233.79/45.34  | DELTA: instantiating (13) with fresh symbols all_20_0, all_20_1, all_20_2,
% 233.79/45.34  |        all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 233.79/45.34  |        all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15,
% 233.79/45.34  |        all_20_16, all_20_17, all_20_18, all_20_19, all_20_20, all_20_21,
% 233.79/45.34  |        all_20_22, all_20_23, all_20_24 gives:
% 233.79/45.35  |   (392)  op2(e24, e24) = all_20_0 & op2(e24, e23) = all_20_1 & op2(e24, e22) =
% 233.79/45.35  |          all_20_2 & op2(e24, e21) = all_20_3 & op2(e24, e20) = all_20_4 &
% 233.79/45.35  |          op2(e23, e24) = all_20_5 & op2(e23, e23) = all_20_6 & op2(e23, e22) =
% 233.79/45.35  |          all_20_7 & op2(e23, e21) = all_20_8 & op2(e23, e20) = all_20_9 &
% 233.79/45.35  |          op2(e22, e24) = all_20_10 & op2(e22, e23) = all_20_11 & op2(e22, e22)
% 233.79/45.35  |          = all_20_12 & op2(e22, e21) = all_20_13 & op2(e22, e20) = all_20_14 &
% 233.79/45.35  |          op2(e21, e24) = all_20_15 & op2(e21, e23) = all_20_16 & op2(e21, e22)
% 233.79/45.35  |          = all_20_17 & op2(e21, e21) = all_20_18 & op2(e21, e20) = all_20_19 &
% 233.79/45.35  |          op2(e20, e24) = all_20_20 & op2(e20, e23) = all_20_21 & op2(e20, e22)
% 233.79/45.35  |          = all_20_22 & op2(e20, e21) = all_20_23 & op2(e20, e20) = all_20_24 &
% 233.79/45.35  |          $i(all_20_0) & $i(all_20_1) & $i(all_20_2) & $i(all_20_3) &
% 233.79/45.35  |          $i(all_20_4) & $i(all_20_5) & $i(all_20_6) & $i(all_20_7) &
% 233.79/45.35  |          $i(all_20_8) & $i(all_20_9) & $i(all_20_10) & $i(all_20_11) &
% 233.79/45.35  |          $i(all_20_12) & $i(all_20_13) & $i(all_20_14) & $i(all_20_15) &
% 233.79/45.35  |          $i(all_20_16) & $i(all_20_17) & $i(all_20_18) & $i(all_20_19) &
% 233.79/45.35  |          $i(all_20_20) & $i(all_20_21) & $i(all_20_22) & $i(all_20_23) &
% 233.79/45.35  |          $i(all_20_24) & (all_20_0 = e24 | all_20_0 = e23 | all_20_0 = e22 |
% 233.79/45.35  |            all_20_0 = e21 | all_20_0 = e20) & (all_20_1 = e24 | all_20_1 = e23
% 233.79/45.35  |            | all_20_1 = e22 | all_20_1 = e21 | all_20_1 = e20) & (all_20_2 =
% 233.79/45.35  |            e24 | all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e21 | all_20_2 =
% 233.79/45.35  |            e20) & (all_20_3 = e24 | all_20_3 = e23 | all_20_3 = e22 | all_20_3
% 233.79/45.35  |            = e21 | all_20_3 = e20) & (all_20_4 = e24 | all_20_4 = e23 |
% 233.79/45.35  |            all_20_4 = e22 | all_20_4 = e21 | all_20_4 = e20) & (all_20_5 = e24
% 233.79/45.35  |            | all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e21 | all_20_5 =
% 233.79/45.35  |            e20) & (all_20_6 = e24 | all_20_6 = e23 | all_20_6 = e22 | all_20_6
% 233.79/45.35  |            = e21 | all_20_6 = e20) & (all_20_7 = e24 | all_20_7 = e23 |
% 233.79/45.35  |            all_20_7 = e22 | all_20_7 = e21 | all_20_7 = e20) & (all_20_8 = e24
% 233.79/45.35  |            | all_20_8 = e23 | all_20_8 = e22 | all_20_8 = e21 | all_20_8 =
% 233.79/45.35  |            e20) & (all_20_9 = e24 | all_20_9 = e23 | all_20_9 = e22 | all_20_9
% 233.79/45.35  |            = e21 | all_20_9 = e20) & (all_20_10 = e24 | all_20_10 = e23 |
% 233.79/45.35  |            all_20_10 = e22 | all_20_10 = e21 | all_20_10 = e20) & (all_20_11 =
% 233.79/45.35  |            e24 | all_20_11 = e23 | all_20_11 = e22 | all_20_11 = e21 |
% 233.79/45.35  |            all_20_11 = e20) & (all_20_12 = e24 | all_20_12 = e23 | all_20_12 =
% 233.79/45.35  |            e22 | all_20_12 = e21 | all_20_12 = e20) & (all_20_13 = e24 |
% 233.79/45.35  |            all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21 | all_20_13 =
% 233.79/45.35  |            e20) & (all_20_14 = e24 | all_20_14 = e23 | all_20_14 = e22 |
% 233.79/45.35  |            all_20_14 = e21 | all_20_14 = e20) & (all_20_15 = e24 | all_20_15 =
% 233.79/45.35  |            e23 | all_20_15 = e22 | all_20_15 = e21 | all_20_15 = e20) &
% 233.79/45.35  |          (all_20_16 = e24 | all_20_16 = e23 | all_20_16 = e22 | all_20_16 =
% 233.79/45.35  |            e21 | all_20_16 = e20) & (all_20_17 = e24 | all_20_17 = e23 |
% 233.79/45.35  |            all_20_17 = e22 | all_20_17 = e21 | all_20_17 = e20) & (all_20_18 =
% 233.79/45.35  |            e24 | all_20_18 = e23 | all_20_18 = e22 | all_20_18 = e21 |
% 233.79/45.35  |            all_20_18 = e20) & (all_20_19 = e24 | all_20_19 = e23 | all_20_19 =
% 233.79/45.35  |            e22 | all_20_19 = e21 | all_20_19 = e20) & (all_20_20 = e24 |
% 233.79/45.35  |            all_20_20 = e23 | all_20_20 = e22 | all_20_20 = e21 | all_20_20 =
% 233.79/45.35  |            e20) & (all_20_21 = e24 | all_20_21 = e23 | all_20_21 = e22 |
% 233.79/45.35  |            all_20_21 = e21 | all_20_21 = e20) & (all_20_22 = e24 | all_20_22 =
% 233.79/45.35  |            e23 | all_20_22 = e22 | all_20_22 = e21 | all_20_22 = e20) &
% 233.79/45.35  |          (all_20_23 = e24 | all_20_23 = e23 | all_20_23 = e22 | all_20_23 =
% 233.79/45.35  |            e21 | all_20_23 = e20) & (all_20_24 = e24 | all_20_24 = e23 |
% 233.79/45.35  |            all_20_24 = e22 | all_20_24 = e21 | all_20_24 = e20)
% 233.79/45.35  | 
% 233.79/45.35  | ALPHA: (392) implies:
% 233.79/45.35  |   (393)  op2(e20, e20) = all_20_24
% 233.79/45.35  |   (394)  op2(e20, e21) = all_20_23
% 233.79/45.35  |   (395)  op2(e20, e22) = all_20_22
% 233.79/45.35  |   (396)  op2(e20, e23) = all_20_21
% 233.79/45.35  |   (397)  op2(e20, e24) = all_20_20
% 233.79/45.35  |   (398)  op2(e21, e20) = all_20_19
% 233.79/45.35  |   (399)  op2(e21, e21) = all_20_18
% 233.79/45.35  |   (400)  op2(e21, e22) = all_20_17
% 233.79/45.35  |   (401)  op2(e21, e23) = all_20_16
% 233.79/45.35  |   (402)  op2(e21, e24) = all_20_15
% 233.79/45.35  |   (403)  op2(e22, e20) = all_20_14
% 233.79/45.35  |   (404)  op2(e22, e21) = all_20_13
% 233.79/45.35  |   (405)  op2(e22, e22) = all_20_12
% 233.79/45.35  |   (406)  op2(e22, e23) = all_20_11
% 233.79/45.35  |   (407)  op2(e22, e24) = all_20_10
% 233.79/45.35  |   (408)  op2(e23, e20) = all_20_9
% 233.79/45.35  |   (409)  op2(e23, e21) = all_20_8
% 233.79/45.35  |   (410)  op2(e23, e22) = all_20_7
% 233.79/45.35  |   (411)  op2(e23, e23) = all_20_6
% 233.79/45.35  |   (412)  op2(e23, e24) = all_20_5
% 233.79/45.35  |   (413)  op2(e24, e20) = all_20_4
% 233.79/45.35  |   (414)  op2(e24, e21) = all_20_3
% 233.79/45.35  |   (415)  op2(e24, e22) = all_20_2
% 233.79/45.35  |   (416)  op2(e24, e23) = all_20_1
% 233.79/45.35  |   (417)  op2(e24, e24) = all_20_0
% 233.79/45.35  |   (418)  all_20_21 = e24 | all_20_21 = e23 | all_20_21 = e22 | all_20_21 = e21
% 233.79/45.35  |          | all_20_21 = e20
% 233.79/45.35  |   (419)  all_20_18 = e24 | all_20_18 = e23 | all_20_18 = e22 | all_20_18 = e21
% 233.79/45.35  |          | all_20_18 = e20
% 233.79/45.35  |   (420)  all_20_17 = e24 | all_20_17 = e23 | all_20_17 = e22 | all_20_17 = e21
% 233.79/45.35  |          | all_20_17 = e20
% 233.79/45.35  |   (421)  all_20_16 = e24 | all_20_16 = e23 | all_20_16 = e22 | all_20_16 = e21
% 233.79/45.35  |          | all_20_16 = e20
% 233.79/45.35  |   (422)  all_20_15 = e24 | all_20_15 = e23 | all_20_15 = e22 | all_20_15 = e21
% 233.79/45.35  |          | all_20_15 = e20
% 233.79/45.35  |   (423)  all_20_14 = e24 | all_20_14 = e23 | all_20_14 = e22 | all_20_14 = e21
% 233.79/45.35  |          | all_20_14 = e20
% 233.79/45.35  |   (424)  all_20_13 = e24 | all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21
% 233.79/45.35  |          | all_20_13 = e20
% 233.79/45.35  |   (425)  all_20_12 = e24 | all_20_12 = e23 | all_20_12 = e22 | all_20_12 = e21
% 233.79/45.35  |          | all_20_12 = e20
% 233.79/45.35  |   (426)  all_20_11 = e24 | all_20_11 = e23 | all_20_11 = e22 | all_20_11 = e21
% 233.79/45.35  |          | all_20_11 = e20
% 233.79/45.35  |   (427)  all_20_9 = e24 | all_20_9 = e23 | all_20_9 = e22 | all_20_9 = e21 |
% 233.79/45.35  |          all_20_9 = e20
% 233.79/45.35  |   (428)  all_20_5 = e24 | all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e21 |
% 233.79/45.35  |          all_20_5 = e20
% 233.79/45.35  |   (429)  all_20_3 = e24 | all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e21 |
% 233.79/45.35  |          all_20_3 = e20
% 233.79/45.35  |   (430)  all_20_2 = e24 | all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e21 |
% 233.79/45.35  |          all_20_2 = e20
% 233.79/45.35  | 
% 233.79/45.35  | DELTA: instantiating (41) with fresh symbols all_22_0, all_22_1, all_22_2,
% 233.79/45.35  |        all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 233.79/45.35  |        all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15,
% 233.79/45.35  |        all_22_16, all_22_17, all_22_18, all_22_19, all_22_20, all_22_21,
% 233.79/45.35  |        all_22_22, all_22_23, all_22_24, all_22_25, all_22_26, all_22_27,
% 233.79/45.35  |        all_22_28, all_22_29, all_22_30, all_22_31, all_22_32, all_22_33,
% 233.79/45.35  |        all_22_34, all_22_35, all_22_36, all_22_37, all_22_38, all_22_39,
% 233.79/45.35  |        all_22_40, all_22_41, all_22_42, all_22_43, all_22_44, all_22_45,
% 233.79/45.35  |        all_22_46, all_22_47, all_22_48, all_22_49, all_22_50, all_22_51,
% 233.79/45.35  |        all_22_52, all_22_53, all_22_54, all_22_55, all_22_56, all_22_57,
% 233.79/45.35  |        all_22_58, all_22_59 gives:
% 233.79/45.36  |   (431)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 233.79/45.36  |            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 &
% 233.79/45.36  |            op2(e24, e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 233.79/45.36  |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 & 
% 233.79/45.36  |            ~ (all_22_2 = e22) &  ~ (all_22_20 = all_22_21) & op2(all_22_21,
% 233.79/45.36  |              e24) = all_22_2 & op2(all_22_21, e22) = e24 & op2(e24, e22) =
% 233.79/45.36  |            all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_2) &
% 233.79/45.36  |            $i(all_22_20) & $i(all_22_21)) | (all_22_5 = e24 &  ~ (all_22_4 =
% 233.79/45.36  |              e21) &  ~ (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 233.79/45.36  |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24, e21) = all_22_33 &
% 233.79/45.36  |            op2(e21, e24) = all_22_32 & $i(all_22_4) & $i(all_22_32) &
% 233.79/45.36  |            $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 233.79/45.36  |            (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 233.79/45.36  |            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20,
% 233.79/45.36  |              e24) = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47))
% 233.79/45.36  |          | (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11)
% 233.79/45.36  |            & op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 &
% 233.79/45.36  |            op2(e24, e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 233.79/45.36  |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 & 
% 233.79/45.36  |            ~ (all_22_12 = e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25,
% 233.79/45.36  |              e23) = all_22_12 & op2(all_22_25, e22) = e23 & op2(e23, e22) =
% 233.79/45.36  |            all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_12) &
% 233.79/45.36  |            $i(all_22_24) & $i(all_22_25)) | (all_22_15 = e23 &  ~ (all_22_14 =
% 233.79/45.36  |              e21) &  ~ (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 233.79/45.36  |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23, e21) = all_22_37 &
% 233.79/45.36  |            op2(e21, e23) = all_22_36 & $i(all_22_14) & $i(all_22_36) &
% 233.79/45.36  |            $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 233.79/45.36  |            (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16 &
% 233.79/45.36  |            op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 233.79/45.36  |              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51))
% 233.79/45.36  |          | (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 =
% 233.79/45.36  |              all_22_21) & op2(all_22_20, e24) = e22 & op2(all_22_20, e22) =
% 233.79/45.36  |            all_22_18 & op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 233.79/45.36  |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &
% 233.79/45.36  |             ~ (all_22_22 = e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24,
% 233.79/45.36  |              e23) = e22 & op2(all_22_24, e22) = all_22_22 & op2(e23, e22) =
% 233.79/45.36  |            all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_22) &
% 233.79/45.36  |            $i(all_22_24) & $i(all_22_25)) | (all_22_27 = e22 &  ~ (all_22_26 =
% 233.79/45.36  |              e21) &  ~ (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 233.79/45.36  |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22, e21) = all_22_41 &
% 233.79/45.36  |            op2(e21, e22) = all_22_40 & $i(all_22_26) & $i(all_22_40) &
% 233.79/45.36  |            $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 233.79/45.36  |            (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28 &
% 233.79/45.36  |            op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 233.79/45.36  |              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 233.79/45.36  |          | (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 =
% 233.79/45.36  |              all_22_33) & op2(all_22_32, e24) = e21 & op2(all_22_32, e21) =
% 233.79/45.36  |            all_22_30 & op2(e24, e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 233.79/45.36  |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &
% 233.79/45.36  |             ~ (all_22_34 = e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36,
% 233.79/45.36  |              e23) = e21 & op2(all_22_36, e21) = all_22_34 & op2(e23, e21) =
% 233.79/45.36  |            all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_34) &
% 233.79/45.36  |            $i(all_22_36) & $i(all_22_37)) | (all_22_39 = e21 &  ~ (all_22_38 =
% 233.79/45.36  |              e22) &  ~ (all_22_40 = all_22_41) & op2(all_22_40, e22) = e21 &
% 233.79/45.36  |            op2(all_22_40, e21) = all_22_38 & op2(e22, e21) = all_22_41 &
% 233.79/45.36  |            op2(e21, e22) = all_22_40 & $i(all_22_38) & $i(all_22_40) &
% 233.79/45.36  |            $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 233.79/45.36  |            (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42 &
% 233.79/45.36  |            op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 233.79/45.36  |              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59))
% 233.79/45.36  |          | (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 =
% 233.79/45.36  |              all_22_47) & op2(all_22_46, e24) = e20 & op2(all_22_46, e20) =
% 233.79/45.36  |            all_22_44 & op2(e24, e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 233.79/45.36  |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &
% 233.79/45.36  |             ~ (all_22_48 = e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50,
% 233.79/45.36  |              e23) = e20 & op2(all_22_50, e20) = all_22_48 & op2(e23, e20) =
% 233.79/45.36  |            all_22_51 & op2(e20, e23) = all_22_50 & $i(all_22_48) &
% 233.79/45.36  |            $i(all_22_50) & $i(all_22_51)) | (all_22_53 = e20 &  ~ (all_22_52 =
% 233.79/45.36  |              e22) &  ~ (all_22_54 = all_22_55) & op2(all_22_54, e22) = e20 &
% 233.79/45.36  |            op2(all_22_54, e20) = all_22_52 & op2(e22, e20) = all_22_55 &
% 233.79/45.36  |            op2(e20, e22) = all_22_54 & $i(all_22_52) & $i(all_22_54) &
% 233.79/45.36  |            $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 233.79/45.36  |            (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 233.79/45.36  |            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 &
% 233.79/45.36  |            op2(e20, e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) &
% 233.79/45.36  |            $i(all_22_59))
% 233.79/45.36  | 
% 233.79/45.36  | DELTA: instantiating (40) with fresh symbols all_23_0, all_23_1, all_23_2,
% 233.79/45.36  |        all_23_3, all_23_4, all_23_5, all_23_6, all_23_7, all_23_8, all_23_9,
% 233.79/45.36  |        all_23_10, all_23_11, all_23_12, all_23_13, all_23_14, all_23_15,
% 233.79/45.36  |        all_23_16, all_23_17, all_23_18, all_23_19, all_23_20, all_23_21,
% 233.79/45.36  |        all_23_22, all_23_23, all_23_24, all_23_25, all_23_26, all_23_27,
% 233.79/45.36  |        all_23_28, all_23_29, all_23_30, all_23_31, all_23_32, all_23_33,
% 233.79/45.36  |        all_23_34, all_23_35, all_23_36, all_23_37, all_23_38, all_23_39,
% 233.79/45.36  |        all_23_40, all_23_41, all_23_42, all_23_43, all_23_44, all_23_45,
% 233.79/45.36  |        all_23_46, all_23_47, all_23_48, all_23_49, all_23_50, all_23_51,
% 233.79/45.36  |        all_23_52, all_23_53, all_23_54, all_23_55, all_23_56, all_23_57,
% 233.79/45.36  |        all_23_58, all_23_59 gives:
% 233.79/45.36  |   (432)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 233.79/45.36  |            op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 &
% 233.79/45.36  |            op1(e14, e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 233.79/45.36  |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 & 
% 233.79/45.36  |            ~ (all_23_2 = e12) &  ~ (all_23_20 = all_23_21) & op1(all_23_21,
% 233.79/45.36  |              e14) = all_23_2 & op1(all_23_21, e12) = e14 & op1(e14, e12) =
% 233.79/45.36  |            all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_2) &
% 233.79/45.36  |            $i(all_23_20) & $i(all_23_21)) | (all_23_5 = e14 &  ~ (all_23_4 =
% 233.79/45.36  |              e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 233.79/45.36  |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) = all_23_33 &
% 233.79/45.36  |            op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 233.79/45.36  |            $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 233.79/45.36  |            (all_23_46 = all_23_47) & op1(all_23_47, e14) = all_23_6 &
% 233.79/45.36  |            op1(all_23_47, e10) = e14 & op1(e14, e10) = all_23_47 & op1(e10,
% 233.79/45.36  |              e14) = all_23_46 & $i(all_23_6) & $i(all_23_46) & $i(all_23_47))
% 233.79/45.36  |          | (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~ (all_23_10 = all_23_11)
% 233.79/45.36  |            & op1(all_23_10, e14) = e13 & op1(all_23_10, e13) = all_23_8 &
% 233.79/45.36  |            op1(e14, e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 233.79/45.36  |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) | (all_23_13 = e13 & 
% 233.79/45.36  |            ~ (all_23_12 = e12) &  ~ (all_23_24 = all_23_25) & op1(all_23_25,
% 233.79/45.36  |              e13) = all_23_12 & op1(all_23_25, e12) = e13 & op1(e13, e12) =
% 233.79/45.36  |            all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_12) &
% 233.79/45.36  |            $i(all_23_24) & $i(all_23_25)) | (all_23_15 = e13 &  ~ (all_23_14 =
% 233.79/45.36  |              e11) &  ~ (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 233.79/45.36  |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13, e11) = all_23_37 &
% 233.79/45.36  |            op1(e11, e13) = all_23_36 & $i(all_23_14) & $i(all_23_36) &
% 233.79/45.36  |            $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 233.79/45.36  |            (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 233.79/45.36  |            op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10,
% 233.79/45.36  |              e13) = all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51))
% 233.79/45.36  |          | (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 =
% 233.79/45.36  |              all_23_21) & op1(all_23_20, e14) = e12 & op1(all_23_20, e12) =
% 233.79/45.36  |            all_23_18 & op1(e14, e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 233.79/45.36  |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &
% 233.79/45.36  |             ~ (all_23_22 = e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24,
% 233.79/45.36  |              e13) = e12 & op1(all_23_24, e12) = all_23_22 & op1(e13, e12) =
% 233.79/45.36  |            all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_22) &
% 233.79/45.36  |            $i(all_23_24) & $i(all_23_25)) | (all_23_27 = e12 &  ~ (all_23_26 =
% 233.79/45.36  |              e11) &  ~ (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 233.79/45.36  |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12, e11) = all_23_41 &
% 233.79/45.36  |            op1(e11, e12) = all_23_40 & $i(all_23_26) & $i(all_23_40) &
% 233.79/45.36  |            $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 233.79/45.36  |            (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 233.79/45.36  |            op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10,
% 233.79/45.36  |              e12) = all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 233.79/45.36  |          | (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 =
% 233.79/45.36  |              all_23_33) & op1(all_23_32, e14) = e11 & op1(all_23_32, e11) =
% 233.79/45.36  |            all_23_30 & op1(e14, e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 233.79/45.36  |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &
% 233.79/45.36  |             ~ (all_23_34 = e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36,
% 233.79/45.36  |              e13) = e11 & op1(all_23_36, e11) = all_23_34 & op1(e13, e11) =
% 233.79/45.36  |            all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_34) &
% 233.79/45.36  |            $i(all_23_36) & $i(all_23_37)) | (all_23_39 = e11 &  ~ (all_23_38 =
% 233.79/45.36  |              e12) &  ~ (all_23_40 = all_23_41) & op1(all_23_40, e12) = e11 &
% 233.79/45.36  |            op1(all_23_40, e11) = all_23_38 & op1(e12, e11) = all_23_41 &
% 233.79/45.36  |            op1(e11, e12) = all_23_40 & $i(all_23_38) & $i(all_23_40) &
% 233.79/45.36  |            $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 233.79/45.36  |            (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 233.79/45.36  |            op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10,
% 233.79/45.36  |              e11) = all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59))
% 233.79/45.36  |          | (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 =
% 233.79/45.36  |              all_23_47) & op1(all_23_46, e14) = e10 & op1(all_23_46, e10) =
% 233.79/45.36  |            all_23_44 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 233.79/45.36  |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &
% 233.79/45.36  |             ~ (all_23_48 = e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50,
% 233.79/45.36  |              e13) = e10 & op1(all_23_50, e10) = all_23_48 & op1(e13, e10) =
% 233.79/45.36  |            all_23_51 & op1(e10, e13) = all_23_50 & $i(all_23_48) &
% 233.79/45.36  |            $i(all_23_50) & $i(all_23_51)) | (all_23_53 = e10 &  ~ (all_23_52 =
% 233.79/45.36  |              e12) &  ~ (all_23_54 = all_23_55) & op1(all_23_54, e12) = e10 &
% 233.79/45.36  |            op1(all_23_54, e10) = all_23_52 & op1(e12, e10) = all_23_55 &
% 233.79/45.36  |            op1(e10, e12) = all_23_54 & $i(all_23_52) & $i(all_23_54) &
% 233.79/45.36  |            $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 233.79/45.36  |            (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 233.79/45.36  |            op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 &
% 233.79/45.36  |            op1(e10, e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) &
% 233.79/45.36  |            $i(all_23_59))
% 233.79/45.36  | 
% 233.79/45.36  | DELTA: instantiating (25) with fresh symbols all_24_0, all_24_1, all_24_2,
% 233.79/45.36  |        all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 233.79/45.36  |        all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15,
% 233.79/45.36  |        all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21,
% 233.79/45.36  |        all_24_22, all_24_23, all_24_24 gives:
% 234.02/45.38  |   (433)  ((all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 234.02/45.38  |                e23) = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) |
% 234.02/45.38  |            (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 234.02/45.38  |              op2(e24, e20) = e24)) & ((all_24_0 = e24 & op2(e24, e24) = e24) |
% 234.02/45.38  |            (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_6 = e24 & op2(e22,
% 234.02/45.38  |                e24) = e24) | (all_24_12 = e24 & op2(e21, e24) = e24) |
% 234.02/45.38  |            (all_24_20 = e24 & op2(e20, e24) = e24)) & ((all_24_0 = e23 &
% 234.02/45.38  |              op2(e24, e24) = e23) | (all_24_1 = e23 & op2(e24, e23) = e23) |
% 234.02/45.38  |            (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 = e23 & op2(e24,
% 234.02/45.38  |                e21) = e23) | (all_24_16 = e23 & op2(e24, e20) = e23)) &
% 234.02/45.38  |          ((all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23,
% 234.02/45.38  |                e24) = e23) | (all_24_6 = e23 & op2(e22, e24) = e23) |
% 234.02/45.38  |            (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_20 = e23 &
% 234.02/45.38  |              op2(e20, e24) = e23)) & ((all_24_0 = e22 & op2(e24, e24) = e22) |
% 234.02/45.38  |            (all_24_1 = e22 & op2(e24, e23) = e22) | (all_24_4 = e22 & op2(e24,
% 234.02/45.38  |                e22) = e22) | (all_24_9 = e22 & op2(e24, e21) = e22) |
% 234.02/45.38  |            (all_24_16 = e22 & op2(e24, e20) = e22)) & ((all_24_0 = e22 &
% 234.02/45.38  |              op2(e24, e24) = e22) | (all_24_2 = e22 & op2(e23, e24) = e22) |
% 234.02/45.38  |            (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_12 = e22 &
% 234.02/45.38  |              op2(e21, e24) = e22) | (all_24_20 = e22 & op2(e20, e24) = e22)) &
% 234.02/45.38  |          ((all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 234.02/45.38  |                e23) = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) |
% 234.02/45.38  |            (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 234.02/45.38  |              op2(e24, e20) = e21)) & ((all_24_0 = e21 & op2(e24, e24) = e21) |
% 234.02/45.38  |            (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_6 = e21 & op2(e22,
% 234.02/45.38  |                e24) = e21) | (all_24_12 = e21 & op2(e21, e24) = e21) |
% 234.02/45.38  |            (all_24_20 = e21 & op2(e20, e24) = e21)) & ((all_24_0 = e20 &
% 234.02/45.38  |              op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23) = e20) |
% 234.02/45.38  |            (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24,
% 234.02/45.38  |                e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)) &
% 234.02/45.38  |          ((all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 234.02/45.38  |                e24) = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) |
% 234.02/45.38  |            (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 &
% 234.02/45.38  |              op2(e20, e24) = e20)) & ((all_24_1 = e24 & op2(e24, e23) = e24) |
% 234.02/45.38  |            (all_24_3 = e24 & op2(e23, e23) = e24) | (all_24_7 = e24 & op2(e22,
% 234.02/45.38  |                e23) = e24) | (all_24_13 = e24 & op2(e21, e23) = e24) |
% 234.02/45.38  |            (all_24_21 = e24 & op2(e20, e23) = e24)) & ((all_24_1 = e23 &
% 234.02/45.38  |              op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23) = e23) |
% 234.02/45.38  |            (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 234.02/45.38  |              op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)) &
% 234.02/45.38  |          ((all_24_1 = e22 & op2(e24, e23) = e22) | (all_24_3 = e22 & op2(e23,
% 234.02/45.38  |                e23) = e22) | (all_24_7 = e22 & op2(e22, e23) = e22) |
% 234.02/45.38  |            (all_24_13 = e22 & op2(e21, e23) = e22) | (all_24_21 = e22 &
% 234.02/45.38  |              op2(e20, e23) = e22)) & ((all_24_1 = e21 & op2(e24, e23) = e21) |
% 234.02/45.38  |            (all_24_3 = e21 & op2(e23, e23) = e21) | (all_24_7 = e21 & op2(e22,
% 234.02/45.38  |                e23) = e21) | (all_24_13 = e21 & op2(e21, e23) = e21) |
% 234.02/45.38  |            (all_24_21 = e21 & op2(e20, e23) = e21)) & ((all_24_1 = e20 &
% 234.02/45.38  |              op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23) = e20) |
% 234.02/45.38  |            (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 234.02/45.38  |              op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)) &
% 234.02/45.38  |          ((all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 234.02/45.38  |                e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) |
% 234.02/45.38  |            (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 234.02/45.38  |              op2(e23, e20) = e24)) & ((all_24_2 = e23 & op2(e23, e24) = e23) |
% 234.02/45.38  |            (all_24_3 = e23 & op2(e23, e23) = e23) | (all_24_5 = e23 & op2(e23,
% 234.02/45.38  |                e22) = e23) | (all_24_10 = e23 & op2(e23, e21) = e23) |
% 234.02/45.38  |            (all_24_17 = e23 & op2(e23, e20) = e23)) & ((all_24_2 = e22 &
% 234.02/45.38  |              op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23) = e22) |
% 234.02/45.38  |            (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 234.02/45.38  |              op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)) &
% 234.02/45.38  |          ((all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 234.02/45.38  |                e23) = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) |
% 234.02/45.38  |            (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 234.02/45.38  |              op2(e23, e20) = e21)) & ((all_24_2 = e20 & op2(e23, e24) = e20) |
% 234.02/45.38  |            (all_24_3 = e20 & op2(e23, e23) = e20) | (all_24_5 = e20 & op2(e23,
% 234.02/45.38  |                e22) = e20) | (all_24_10 = e20 & op2(e23, e21) = e20) |
% 234.02/45.38  |            (all_24_17 = e20 & op2(e23, e20) = e20)) & ((all_24_4 = e24 &
% 234.02/45.38  |              op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) |
% 234.02/45.38  |            (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 234.02/45.38  |              op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)) &
% 234.02/45.38  |          ((all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5 = e23 & op2(e23,
% 234.02/45.38  |                e22) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) |
% 234.02/45.38  |            (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_22 = e23 &
% 234.02/45.38  |              op2(e20, e22) = e23)) & ((all_24_4 = e22 & op2(e24, e22) = e22) |
% 234.02/45.38  |            (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_8 = e22 & op2(e22,
% 234.02/45.38  |                e22) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) |
% 234.02/45.38  |            (all_24_22 = e22 & op2(e20, e22) = e22)) & ((all_24_4 = e21 &
% 234.02/45.38  |              op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) |
% 234.02/45.38  |            (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 234.02/45.38  |              op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)) &
% 234.02/45.38  |          ((all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_5 = e20 & op2(e23,
% 234.02/45.38  |                e22) = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) |
% 234.02/45.38  |            (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_22 = e20 &
% 234.02/45.38  |              op2(e20, e22) = e20)) & ((all_24_6 = e24 & op2(e22, e24) = e24) |
% 234.02/45.38  |            (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_8 = e24 & op2(e22,
% 234.02/45.38  |                e22) = e24) | (all_24_11 = e24 & op2(e22, e21) = e24) |
% 234.02/45.38  |            (all_24_18 = e24 & op2(e22, e20) = e24)) & ((all_24_6 = e23 &
% 234.02/45.38  |              op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) |
% 234.02/45.38  |            (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 &
% 234.02/45.38  |              op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)) &
% 234.02/45.38  |          ((all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 234.02/45.38  |                e23) = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) |
% 234.02/45.38  |            (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 234.02/45.38  |              op2(e22, e20) = e22)) & ((all_24_6 = e21 & op2(e22, e24) = e21) |
% 234.02/45.38  |            (all_24_7 = e21 & op2(e22, e23) = e21) | (all_24_8 = e21 & op2(e22,
% 234.02/45.38  |                e22) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) |
% 234.02/45.38  |            (all_24_18 = e21 & op2(e22, e20) = e21)) & ((all_24_6 = e20 &
% 234.02/45.38  |              op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) |
% 234.02/45.38  |            (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 234.02/45.38  |              op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)) &
% 234.02/45.38  |          ((all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_10 = e24 & op2(e23,
% 234.02/45.38  |                e21) = e24) | (all_24_11 = e24 & op2(e22, e21) = e24) |
% 234.02/45.38  |            (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_23 = e24 &
% 234.02/45.38  |              op2(e20, e21) = e24)) & ((all_24_9 = e23 & op2(e24, e21) = e23) |
% 234.02/45.38  |            (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_11 = e23 &
% 234.02/45.38  |              op2(e22, e21) = e23) | (all_24_15 = e23 & op2(e21, e21) = e23) |
% 234.02/45.38  |            (all_24_23 = e23 & op2(e20, e21) = e23)) & ((all_24_9 = e22 &
% 234.02/45.38  |              op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23, e21) = e22) |
% 234.02/45.38  |            (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22 &
% 234.02/45.38  |              op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)) &
% 234.02/45.38  |          ((all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 234.02/45.38  |                e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) |
% 234.02/45.38  |            (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 234.02/45.38  |              op2(e20, e21) = e21)) & ((all_24_9 = e20 & op2(e24, e21) = e20) |
% 234.02/45.38  |            (all_24_10 = e20 & op2(e23, e21) = e20) | (all_24_11 = e20 &
% 234.02/45.38  |              op2(e22, e21) = e20) | (all_24_15 = e20 & op2(e21, e21) = e20) |
% 234.02/45.38  |            (all_24_23 = e20 & op2(e20, e21) = e20)) & ((all_24_12 = e24 &
% 234.02/45.38  |              op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21, e23) = e24) |
% 234.02/45.38  |            (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 &
% 234.02/45.38  |              op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)) &
% 234.02/45.38  |          ((all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 &
% 234.02/45.38  |              op2(e21, e23) = e23) | (all_24_14 = e23 & op2(e21, e22) = e23) |
% 234.02/45.38  |            (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 &
% 234.02/45.38  |              op2(e21, e20) = e23)) & ((all_24_12 = e22 & op2(e21, e24) = e22)
% 234.02/45.38  |            | (all_24_13 = e22 & op2(e21, e23) = e22) | (all_24_14 = e22 &
% 234.02/45.38  |              op2(e21, e22) = e22) | (all_24_15 = e22 & op2(e21, e21) = e22) |
% 234.02/45.38  |            (all_24_19 = e22 & op2(e21, e20) = e22)) & ((all_24_12 = e21 &
% 234.02/45.38  |              op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21, e23) = e21) |
% 234.02/45.38  |            (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 234.02/45.38  |              op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)) &
% 234.02/45.38  |          ((all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 234.02/45.38  |              op2(e21, e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) |
% 234.02/45.38  |            (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 234.02/45.38  |              op2(e21, e20) = e20)) & ((all_24_16 = e24 & op2(e24, e20) = e24)
% 234.02/45.38  |            | (all_24_17 = e24 & op2(e23, e20) = e24) | (all_24_18 = e24 &
% 234.02/45.38  |              op2(e22, e20) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24) |
% 234.02/45.38  |            (all_24_24 = e24 & op2(e20, e20) = e24)) & ((all_24_16 = e23 &
% 234.02/45.38  |              op2(e24, e20) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23) |
% 234.02/45.38  |            (all_24_18 = e23 & op2(e22, e20) = e23) | (all_24_19 = e23 &
% 234.02/45.38  |              op2(e21, e20) = e23) | (all_24_24 = e23 & op2(e20, e20) = e23)) &
% 234.02/45.38  |          ((all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 234.02/45.38  |              op2(e23, e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) |
% 234.02/45.38  |            (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 234.02/45.38  |              op2(e20, e20) = e22)) & ((all_24_16 = e21 & op2(e24, e20) = e21)
% 234.02/45.38  |            | (all_24_17 = e21 & op2(e23, e20) = e21) | (all_24_18 = e21 &
% 234.02/45.38  |              op2(e22, e20) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21) |
% 234.02/45.38  |            (all_24_24 = e21 & op2(e20, e20) = e21)) & ((all_24_20 = e24 &
% 234.02/45.38  |              op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24) |
% 234.02/45.38  |            (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 234.02/45.38  |              op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)) &
% 234.02/45.38  |          ((all_24_20 = e23 & op2(e20, e24) = e23) | (all_24_21 = e23 &
% 234.02/45.38  |              op2(e20, e23) = e23) | (all_24_22 = e23 & op2(e20, e22) = e23) |
% 234.02/45.38  |            (all_24_23 = e23 & op2(e20, e21) = e23) | (all_24_24 = e23 &
% 234.02/45.38  |              op2(e20, e20) = e23)) & ((all_24_20 = e22 & op2(e20, e24) = e22)
% 234.02/45.38  |            | (all_24_21 = e22 & op2(e20, e23) = e22) | (all_24_22 = e22 &
% 234.02/45.38  |              op2(e20, e22) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22) |
% 234.02/45.38  |            (all_24_24 = e22 & op2(e20, e20) = e22)) & ((all_24_20 = e21 &
% 234.02/45.38  |              op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20, e23) = e21) |
% 234.02/45.38  |            (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 234.02/45.38  |              op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)) &
% 234.02/45.38  |          ((all_24_24 = e20 & op2(e20, e20) = e20) | (((all_24_16 = e20 &
% 234.02/45.38  |                  op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23, e20) =
% 234.02/45.38  |                  e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 234.02/45.38  |                  e20 & op2(e21, e20) = e20)) & ((all_24_20 = e20 & op2(e20,
% 234.02/45.38  |                    e24) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20) |
% 234.02/45.38  |                (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 234.02/45.38  |                  op2(e20, e21) = e20))))
% 234.02/45.38  | 
% 234.02/45.38  | ALPHA: (433) implies:
% 234.02/45.38  |   (434)  (all_24_24 = e20 & op2(e20, e20) = e20) | (((all_24_16 = e20 &
% 234.02/45.38  |                op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23, e20) = e20)
% 234.02/45.38  |              | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 234.02/45.38  |                op2(e21, e20) = e20)) & ((all_24_20 = e20 & op2(e20, e24) =
% 234.02/45.38  |                e20) | (all_24_21 = e20 & op2(e20, e23) = e20) | (all_24_22 =
% 234.02/45.38  |                e20 & op2(e20, e22) = e20) | (all_24_23 = e20 & op2(e20, e21) =
% 234.02/45.38  |                e20)))
% 234.02/45.38  |   (435)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 234.02/45.38  |              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) |
% 234.02/45.38  |          (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20,
% 234.02/45.38  |              e20) = e21)
% 234.02/45.38  |   (436)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 234.02/45.38  |              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) |
% 234.02/45.38  |          (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20,
% 234.02/45.38  |              e20) = e22)
% 234.02/45.38  |   (437)  (all_24_20 = e23 & op2(e20, e24) = e23) | (all_24_21 = e23 & op2(e20,
% 234.02/45.38  |              e23) = e23) | (all_24_22 = e23 & op2(e20, e22) = e23) |
% 234.02/45.38  |          (all_24_23 = e23 & op2(e20, e21) = e23) | (all_24_24 = e23 & op2(e20,
% 234.02/45.38  |              e20) = e23)
% 234.02/45.38  |   (438)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 234.02/45.38  |              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) |
% 234.02/45.38  |          (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 234.02/45.38  |              e20) = e24)
% 234.02/45.38  |   (439)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 234.02/45.38  |              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) |
% 234.02/45.38  |          (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20,
% 234.02/45.38  |              e20) = e21)
% 234.02/45.38  |   (440)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 234.02/45.38  |              e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) |
% 234.02/45.38  |          (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20,
% 234.02/45.38  |              e20) = e22)
% 234.02/45.38  |   (441)  (all_24_16 = e23 & op2(e24, e20) = e23) | (all_24_17 = e23 & op2(e23,
% 234.02/45.38  |              e20) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23) |
% 234.02/45.38  |          (all_24_19 = e23 & op2(e21, e20) = e23) | (all_24_24 = e23 & op2(e20,
% 234.02/45.38  |              e20) = e23)
% 234.02/45.38  |   (442)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 234.02/45.38  |              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) |
% 234.02/45.38  |          (all_24_19 = e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20,
% 234.02/45.38  |              e20) = e24)
% 234.02/45.38  |   (443)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 234.02/45.38  |              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) |
% 234.02/45.38  |          (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21,
% 234.02/45.38  |              e20) = e20)
% 234.02/45.38  |   (444)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 234.02/45.38  |              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) |
% 234.02/45.38  |          (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21,
% 234.02/45.38  |              e20) = e21)
% 234.02/45.38  |   (445)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 234.02/45.38  |              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) |
% 234.02/45.38  |          (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21,
% 234.02/45.38  |              e20) = e22)
% 234.02/45.38  |   (446)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 & op2(e21,
% 234.02/45.38  |              e23) = e23) | (all_24_14 = e23 & op2(e21, e22) = e23) |
% 234.02/45.38  |          (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 & op2(e21,
% 234.02/45.38  |              e20) = e23)
% 234.02/45.38  |   (447)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 234.02/45.38  |              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) |
% 234.02/45.38  |          (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21,
% 234.02/45.38  |              e20) = e24)
% 234.02/45.38  |   (448)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 234.02/45.38  |              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) |
% 234.02/45.38  |          (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20,
% 234.02/45.38  |              e21) = e20)
% 234.02/45.38  |   (449)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 234.02/45.38  |              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) |
% 234.02/45.38  |          (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20,
% 234.02/45.38  |              e21) = e21)
% 234.02/45.38  |   (450)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 234.02/45.38  |              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) |
% 234.02/45.38  |          (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20,
% 234.02/45.38  |              e21) = e22)
% 234.02/45.38  |   (451)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 & op2(e23,
% 234.02/45.38  |              e21) = e23) | (all_24_11 = e23 & op2(e22, e21) = e23) |
% 234.02/45.38  |          (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20,
% 234.02/45.38  |              e21) = e23)
% 234.02/45.39  |   (452)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22,
% 234.02/45.39  |              e23) = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11
% 234.02/45.39  |            = e20 & op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) =
% 234.02/45.39  |            e20)
% 234.02/45.39  |   (453)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 234.02/45.39  |              e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11
% 234.02/45.39  |            = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) =
% 234.02/45.39  |            e21)
% 234.02/45.39  |   (454)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 234.02/45.39  |              e23) = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11
% 234.02/45.39  |            = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) =
% 234.02/45.39  |            e22)
% 234.02/45.39  |   (455)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22,
% 234.02/45.39  |              e23) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11
% 234.02/45.39  |            = e23 & op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (456)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 234.02/45.39  |              e23) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11
% 234.02/45.39  |            = e24 & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) =
% 234.02/45.39  |            e24)
% 234.02/45.39  |   (457)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 234.02/45.39  |              e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14
% 234.02/45.39  |            = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) =
% 234.02/45.39  |            e21)
% 234.02/45.39  |   (458)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 234.02/45.39  |              e22) = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14
% 234.02/45.39  |            = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) =
% 234.02/45.39  |            e22)
% 234.02/45.39  |   (459)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5 = e23 & op2(e23,
% 234.02/45.39  |              e22) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_14
% 234.02/45.39  |            = e23 & op2(e21, e22) = e23) | (all_24_22 = e23 & op2(e20, e22) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (460)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 234.02/45.39  |              e22) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14
% 234.02/45.39  |            = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) =
% 234.02/45.39  |            e24)
% 234.02/45.39  |   (461)  (all_24_2 = e20 & op2(e23, e24) = e20) | (all_24_3 = e20 & op2(e23,
% 234.02/45.39  |              e23) = e20) | (all_24_5 = e20 & op2(e23, e22) = e20) | (all_24_10
% 234.02/45.39  |            = e20 & op2(e23, e21) = e20) | (all_24_17 = e20 & op2(e23, e20) =
% 234.02/45.39  |            e20)
% 234.02/45.39  |   (462)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 234.02/45.39  |              e23) = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10
% 234.02/45.39  |            = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) =
% 234.02/45.39  |            e21)
% 234.02/45.39  |   (463)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 234.02/45.39  |              e23) = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10
% 234.02/45.39  |            = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) =
% 234.02/45.39  |            e22)
% 234.02/45.39  |   (464)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 234.02/45.39  |              e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10
% 234.02/45.39  |            = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (465)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 234.02/45.39  |              e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10
% 234.02/45.39  |            = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) =
% 234.02/45.39  |            e24)
% 234.02/45.39  |   (466)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 234.02/45.39  |              e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13
% 234.02/45.39  |            = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) =
% 234.02/45.39  |            e20)
% 234.02/45.39  |   (467)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 234.02/45.39  |              e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13
% 234.02/45.39  |            = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (468)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 234.02/45.39  |              e23) = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13
% 234.02/45.39  |            = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) =
% 234.02/45.39  |            e24)
% 234.02/45.39  |   (469)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 234.02/45.39  |              e24) = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12
% 234.02/45.39  |            = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) =
% 234.02/45.39  |            e20)
% 234.02/45.39  |   (470)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 234.02/45.39  |              e23) = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 234.02/45.39  |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) =
% 234.02/45.39  |            e20)
% 234.02/45.39  |   (471)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 234.02/45.39  |              e24) = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12
% 234.02/45.39  |            = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) =
% 234.02/45.39  |            e21)
% 234.02/45.39  |   (472)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 234.02/45.39  |              e23) = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 234.02/45.39  |            = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) =
% 234.02/45.39  |            e21)
% 234.02/45.39  |   (473)  (all_24_0 = e22 & op2(e24, e24) = e22) | (all_24_2 = e22 & op2(e23,
% 234.02/45.39  |              e24) = e22) | (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_12
% 234.02/45.39  |            = e22 & op2(e21, e24) = e22) | (all_24_20 = e22 & op2(e20, e24) =
% 234.02/45.39  |            e22)
% 234.02/45.39  |   (474)  (all_24_0 = e22 & op2(e24, e24) = e22) | (all_24_1 = e22 & op2(e24,
% 234.02/45.39  |              e23) = e22) | (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_9
% 234.02/45.39  |            = e22 & op2(e24, e21) = e22) | (all_24_16 = e22 & op2(e24, e20) =
% 234.02/45.39  |            e22)
% 234.02/45.39  |   (475)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23,
% 234.02/45.39  |              e24) = e23) | (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_12
% 234.02/45.39  |            = e23 & op2(e21, e24) = e23) | (all_24_20 = e23 & op2(e20, e24) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (476)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 & op2(e24,
% 234.02/45.39  |              e23) = e23) | (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 234.02/45.39  |            = e23 & op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) =
% 234.02/45.39  |            e23)
% 234.02/45.39  |   (477)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23,
% 234.02/45.39  |              e24) = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12
% 234.02/45.39  |            = e24 & op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) =
% 234.02/45.39  |            e24)
% 234.02/45.39  |   (478)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 234.02/45.39  |              e23) = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 234.02/45.39  |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) =
% 234.02/45.39  |            e24)
% 234.02/45.39  | 
% 234.02/45.39  | DELTA: instantiating (12) with fresh symbols all_25_0, all_25_1, all_25_2,
% 234.02/45.39  |        all_25_3, all_25_4, all_25_5, all_25_6, all_25_7, all_25_8, all_25_9,
% 234.02/45.39  |        all_25_10, all_25_11, all_25_12, all_25_13, all_25_14, all_25_15,
% 234.02/45.39  |        all_25_16, all_25_17, all_25_18, all_25_19, all_25_20, all_25_21,
% 234.02/45.39  |        all_25_22, all_25_23, all_25_24 gives:
% 234.02/45.41  |   (479)  ((all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 234.02/45.41  |                e13) = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) |
% 234.02/45.41  |            (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 234.02/45.41  |              op1(e14, e10) = e14)) & ((all_25_0 = e14 & op1(e14, e14) = e14) |
% 234.02/45.41  |            (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_6 = e14 & op1(e12,
% 234.02/45.41  |                e14) = e14) | (all_25_12 = e14 & op1(e11, e14) = e14) |
% 234.02/45.41  |            (all_25_20 = e14 & op1(e10, e14) = e14)) & ((all_25_0 = e13 &
% 234.02/45.41  |              op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14, e13) = e13) |
% 234.02/45.41  |            (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9 = e13 & op1(e14,
% 234.02/45.41  |                e11) = e13) | (all_25_16 = e13 & op1(e14, e10) = e13)) &
% 234.02/45.41  |          ((all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13,
% 234.02/45.41  |                e14) = e13) | (all_25_6 = e13 & op1(e12, e14) = e13) |
% 234.02/45.41  |            (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_20 = e13 &
% 234.02/45.41  |              op1(e10, e14) = e13)) & ((all_25_0 = e12 & op1(e14, e14) = e12) |
% 234.02/45.41  |            (all_25_1 = e12 & op1(e14, e13) = e12) | (all_25_4 = e12 & op1(e14,
% 234.02/45.41  |                e12) = e12) | (all_25_9 = e12 & op1(e14, e11) = e12) |
% 234.02/45.41  |            (all_25_16 = e12 & op1(e14, e10) = e12)) & ((all_25_0 = e12 &
% 234.02/45.41  |              op1(e14, e14) = e12) | (all_25_2 = e12 & op1(e13, e14) = e12) |
% 234.02/45.41  |            (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_12 = e12 &
% 234.02/45.41  |              op1(e11, e14) = e12) | (all_25_20 = e12 & op1(e10, e14) = e12)) &
% 234.02/45.41  |          ((all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 234.02/45.41  |                e13) = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) |
% 234.02/45.41  |            (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 234.02/45.41  |              op1(e14, e10) = e11)) & ((all_25_0 = e11 & op1(e14, e14) = e11) |
% 234.02/45.41  |            (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_6 = e11 & op1(e12,
% 234.02/45.41  |                e14) = e11) | (all_25_12 = e11 & op1(e11, e14) = e11) |
% 234.02/45.41  |            (all_25_20 = e11 & op1(e10, e14) = e11)) & ((all_25_0 = e10 &
% 234.02/45.41  |              op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13) = e10) |
% 234.02/45.41  |            (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 234.02/45.41  |                e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)) &
% 234.02/45.41  |          ((all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13,
% 234.02/45.41  |                e14) = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) |
% 234.02/45.41  |            (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 234.02/45.41  |              op1(e10, e14) = e10)) & ((all_25_1 = e14 & op1(e14, e13) = e14) |
% 234.02/45.41  |            (all_25_3 = e14 & op1(e13, e13) = e14) | (all_25_7 = e14 & op1(e12,
% 234.02/45.41  |                e13) = e14) | (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.02/45.41  |            (all_25_21 = e14 & op1(e10, e13) = e14)) & ((all_25_1 = e13 &
% 234.02/45.41  |              op1(e14, e13) = e13) | (all_25_3 = e13 & op1(e13, e13) = e13) |
% 234.02/45.41  |            (all_25_7 = e13 & op1(e12, e13) = e13) | (all_25_13 = e13 &
% 234.02/45.41  |              op1(e11, e13) = e13) | (all_25_21 = e13 & op1(e10, e13) = e13)) &
% 234.02/45.41  |          ((all_25_1 = e12 & op1(e14, e13) = e12) | (all_25_3 = e12 & op1(e13,
% 234.02/45.41  |                e13) = e12) | (all_25_7 = e12 & op1(e12, e13) = e12) |
% 234.02/45.41  |            (all_25_13 = e12 & op1(e11, e13) = e12) | (all_25_21 = e12 &
% 234.02/45.41  |              op1(e10, e13) = e12)) & ((all_25_1 = e11 & op1(e14, e13) = e11) |
% 234.02/45.41  |            (all_25_3 = e11 & op1(e13, e13) = e11) | (all_25_7 = e11 & op1(e12,
% 234.02/45.41  |                e13) = e11) | (all_25_13 = e11 & op1(e11, e13) = e11) |
% 234.02/45.41  |            (all_25_21 = e11 & op1(e10, e13) = e11)) & ((all_25_1 = e10 &
% 234.02/45.41  |              op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13) = e10) |
% 234.02/45.41  |            (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 234.02/45.41  |              op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)) &
% 234.02/45.41  |          ((all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13,
% 234.02/45.41  |                e13) = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) |
% 234.02/45.41  |            (all_25_10 = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 &
% 234.02/45.41  |              op1(e13, e10) = e14)) & ((all_25_2 = e13 & op1(e13, e14) = e13) |
% 234.02/45.41  |            (all_25_3 = e13 & op1(e13, e13) = e13) | (all_25_5 = e13 & op1(e13,
% 234.02/45.41  |                e12) = e13) | (all_25_10 = e13 & op1(e13, e11) = e13) |
% 234.02/45.41  |            (all_25_17 = e13 & op1(e13, e10) = e13)) & ((all_25_2 = e12 &
% 234.02/45.41  |              op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13) = e12) |
% 234.02/45.41  |            (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 234.02/45.41  |              op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)) &
% 234.02/45.41  |          ((all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13,
% 234.02/45.41  |                e13) = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) |
% 234.02/45.41  |            (all_25_10 = e11 & op1(e13, e11) = e11) | (all_25_17 = e11 &
% 234.02/45.41  |              op1(e13, e10) = e11)) & ((all_25_2 = e10 & op1(e13, e14) = e10) |
% 234.02/45.41  |            (all_25_3 = e10 & op1(e13, e13) = e10) | (all_25_5 = e10 & op1(e13,
% 234.02/45.41  |                e12) = e10) | (all_25_10 = e10 & op1(e13, e11) = e10) |
% 234.02/45.41  |            (all_25_17 = e10 & op1(e13, e10) = e10)) & ((all_25_4 = e14 &
% 234.02/45.41  |              op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) |
% 234.02/45.41  |            (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 234.02/45.41  |              op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)) &
% 234.02/45.41  |          ((all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13,
% 234.02/45.41  |                e12) = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) |
% 234.02/45.41  |            (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 234.02/45.41  |              op1(e10, e12) = e13)) & ((all_25_4 = e12 & op1(e14, e12) = e12) |
% 234.02/45.41  |            (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_8 = e12 & op1(e12,
% 234.02/45.41  |                e12) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) |
% 234.02/45.41  |            (all_25_22 = e12 & op1(e10, e12) = e12)) & ((all_25_4 = e11 &
% 234.02/45.41  |              op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) |
% 234.02/45.41  |            (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 234.02/45.41  |              op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)) &
% 234.02/45.41  |          ((all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_5 = e10 & op1(e13,
% 234.02/45.41  |                e12) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) |
% 234.02/45.41  |            (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_22 = e10 &
% 234.02/45.41  |              op1(e10, e12) = e10)) & ((all_25_6 = e14 & op1(e12, e14) = e14) |
% 234.02/45.41  |            (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_8 = e14 & op1(e12,
% 234.02/45.41  |                e12) = e14) | (all_25_11 = e14 & op1(e12, e11) = e14) |
% 234.02/45.41  |            (all_25_18 = e14 & op1(e12, e10) = e14)) & ((all_25_6 = e13 &
% 234.02/45.41  |              op1(e12, e14) = e13) | (all_25_7 = e13 & op1(e12, e13) = e13) |
% 234.02/45.41  |            (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_11 = e13 &
% 234.02/45.41  |              op1(e12, e11) = e13) | (all_25_18 = e13 & op1(e12, e10) = e13)) &
% 234.02/45.41  |          ((all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 234.02/45.41  |                e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) |
% 234.02/45.41  |            (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 234.02/45.41  |              op1(e12, e10) = e12)) & ((all_25_6 = e11 & op1(e12, e14) = e11) |
% 234.02/45.41  |            (all_25_7 = e11 & op1(e12, e13) = e11) | (all_25_8 = e11 & op1(e12,
% 234.02/45.41  |                e12) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) |
% 234.02/45.41  |            (all_25_18 = e11 & op1(e12, e10) = e11)) & ((all_25_6 = e10 &
% 234.02/45.41  |              op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) |
% 234.02/45.41  |            (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 234.02/45.41  |              op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)) &
% 234.02/45.41  |          ((all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_10 = e14 & op1(e13,
% 234.02/45.41  |                e11) = e14) | (all_25_11 = e14 & op1(e12, e11) = e14) |
% 234.02/45.41  |            (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_23 = e14 &
% 234.02/45.41  |              op1(e10, e11) = e14)) & ((all_25_9 = e13 & op1(e14, e11) = e13) |
% 234.02/45.41  |            (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_11 = e13 &
% 234.02/45.41  |              op1(e12, e11) = e13) | (all_25_15 = e13 & op1(e11, e11) = e13) |
% 234.02/45.41  |            (all_25_23 = e13 & op1(e10, e11) = e13)) & ((all_25_9 = e12 &
% 234.02/45.41  |              op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11) = e12) |
% 234.02/45.41  |            (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 234.02/45.41  |              op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)) &
% 234.02/45.41  |          ((all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 234.02/45.41  |                e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) |
% 234.02/45.41  |            (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 234.02/45.41  |              op1(e10, e11) = e11)) & ((all_25_9 = e10 & op1(e14, e11) = e10) |
% 234.02/45.41  |            (all_25_10 = e10 & op1(e13, e11) = e10) | (all_25_11 = e10 &
% 234.02/45.41  |              op1(e12, e11) = e10) | (all_25_15 = e10 & op1(e11, e11) = e10) |
% 234.02/45.41  |            (all_25_23 = e10 & op1(e10, e11) = e10)) & ((all_25_12 = e14 &
% 234.02/45.41  |              op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.02/45.41  |            (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 234.02/45.41  |              op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)) &
% 234.02/45.41  |          ((all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 &
% 234.02/45.41  |              op1(e11, e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) |
% 234.02/45.41  |            (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_19 = e13 &
% 234.02/45.41  |              op1(e11, e10) = e13)) & ((all_25_12 = e12 & op1(e11, e14) = e12)
% 234.02/45.41  |            | (all_25_13 = e12 & op1(e11, e13) = e12) | (all_25_14 = e12 &
% 234.02/45.41  |              op1(e11, e12) = e12) | (all_25_15 = e12 & op1(e11, e11) = e12) |
% 234.02/45.41  |            (all_25_19 = e12 & op1(e11, e10) = e12)) & ((all_25_12 = e11 &
% 234.02/45.41  |              op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11, e13) = e11) |
% 234.02/45.41  |            (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 234.02/45.41  |              op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)) &
% 234.02/45.41  |          ((all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 234.02/45.41  |              op1(e11, e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) |
% 234.02/45.41  |            (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 234.02/45.41  |              op1(e11, e10) = e10)) & ((all_25_16 = e14 & op1(e14, e10) = e14)
% 234.02/45.41  |            | (all_25_17 = e14 & op1(e13, e10) = e14) | (all_25_18 = e14 &
% 234.02/45.41  |              op1(e12, e10) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14) |
% 234.02/45.41  |            (all_25_24 = e14 & op1(e10, e10) = e14)) & ((all_25_16 = e13 &
% 234.02/45.41  |              op1(e14, e10) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13) |
% 234.02/45.41  |            (all_25_18 = e13 & op1(e12, e10) = e13) | (all_25_19 = e13 &
% 234.02/45.41  |              op1(e11, e10) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)) &
% 234.02/45.41  |          ((all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 234.02/45.41  |              op1(e13, e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) |
% 234.02/45.41  |            (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 234.02/45.41  |              op1(e10, e10) = e12)) & ((all_25_16 = e11 & op1(e14, e10) = e11)
% 234.02/45.41  |            | (all_25_17 = e11 & op1(e13, e10) = e11) | (all_25_18 = e11 &
% 234.02/45.41  |              op1(e12, e10) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11) |
% 234.02/45.41  |            (all_25_24 = e11 & op1(e10, e10) = e11)) & ((all_25_20 = e14 &
% 234.02/45.41  |              op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14) |
% 234.02/45.41  |            (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 234.02/45.41  |              op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)) &
% 234.02/45.41  |          ((all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 &
% 234.02/45.41  |              op1(e10, e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) |
% 234.02/45.41  |            (all_25_23 = e13 & op1(e10, e11) = e13) | (all_25_24 = e13 &
% 234.02/45.41  |              op1(e10, e10) = e13)) & ((all_25_20 = e12 & op1(e10, e14) = e12)
% 234.02/45.41  |            | (all_25_21 = e12 & op1(e10, e13) = e12) | (all_25_22 = e12 &
% 234.02/45.41  |              op1(e10, e12) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12) |
% 234.02/45.41  |            (all_25_24 = e12 & op1(e10, e10) = e12)) & ((all_25_20 = e11 &
% 234.02/45.41  |              op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10, e13) = e11) |
% 234.02/45.41  |            (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 234.02/45.41  |              op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)) &
% 234.02/45.41  |          ((all_25_24 = e10 & op1(e10, e10) = e10) | (((all_25_16 = e10 &
% 234.02/45.41  |                  op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13, e10) =
% 234.02/45.41  |                  e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 234.02/45.41  |                  e10 & op1(e11, e10) = e10)) & ((all_25_20 = e10 & op1(e10,
% 234.02/45.41  |                    e14) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10) |
% 234.02/45.41  |                (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 = e10 &
% 234.02/45.41  |                  op1(e10, e11) = e10))))
% 234.02/45.41  | 
% 234.02/45.41  | ALPHA: (479) implies:
% 234.02/45.41  |   (480)  (all_25_24 = e10 & op1(e10, e10) = e10) | (((all_25_16 = e10 &
% 234.02/45.41  |                op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13, e10) = e10)
% 234.02/45.41  |              | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 = e10 &
% 234.02/45.41  |                op1(e11, e10) = e10)) & ((all_25_20 = e10 & op1(e10, e14) =
% 234.02/45.41  |                e10) | (all_25_21 = e10 & op1(e10, e13) = e10) | (all_25_22 =
% 234.02/45.41  |                e10 & op1(e10, e12) = e10) | (all_25_23 = e10 & op1(e10, e11) =
% 234.02/45.41  |                e10)))
% 234.02/45.41  |   (481)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 234.02/45.41  |              e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) |
% 234.02/45.41  |          (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10,
% 234.02/45.41  |              e10) = e11)
% 234.02/45.41  |   (482)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 234.02/45.41  |              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) |
% 234.02/45.41  |          (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10,
% 234.02/45.41  |              e10) = e12)
% 234.02/45.41  |   (483)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 234.02/45.41  |              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) |
% 234.02/45.41  |          (all_25_23 = e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10,
% 234.02/45.41  |              e10) = e13)
% 234.02/45.41  |   (484)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 234.02/45.41  |              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) |
% 234.02/45.41  |          (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 234.02/45.41  |              e10) = e14)
% 234.02/45.41  |   (485)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 234.02/45.41  |              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) |
% 234.02/45.41  |          (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10,
% 234.02/45.41  |              e10) = e11)
% 234.02/45.41  |   (486)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 234.02/45.41  |              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) |
% 234.02/45.41  |          (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10,
% 234.02/45.41  |              e10) = e12)
% 234.02/45.41  |   (487)  (all_25_16 = e13 & op1(e14, e10) = e13) | (all_25_17 = e13 & op1(e13,
% 234.02/45.41  |              e10) = e13) | (all_25_18 = e13 & op1(e12, e10) = e13) |
% 234.02/45.41  |          (all_25_19 = e13 & op1(e11, e10) = e13) | (all_25_24 = e13 & op1(e10,
% 234.02/45.41  |              e10) = e13)
% 234.02/45.41  |   (488)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 234.02/45.41  |              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) |
% 234.02/45.41  |          (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10,
% 234.02/45.41  |              e10) = e14)
% 234.02/45.41  |   (489)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 234.02/45.41  |              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) |
% 234.02/45.41  |          (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11,
% 234.02/45.41  |              e10) = e10)
% 234.02/45.41  |   (490)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 234.02/45.41  |              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) |
% 234.02/45.41  |          (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11,
% 234.02/45.41  |              e10) = e11)
% 234.02/45.41  |   (491)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 234.02/45.41  |              e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) |
% 234.02/45.41  |          (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11,
% 234.02/45.41  |              e10) = e12)
% 234.02/45.41  |   (492)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 234.02/45.41  |              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) |
% 234.02/45.41  |          (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11,
% 234.02/45.41  |              e10) = e13)
% 234.02/45.41  |   (493)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 234.02/45.41  |              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) |
% 234.02/45.41  |          (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11,
% 234.02/45.41  |              e10) = e14)
% 234.02/45.42  |   (494)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 234.02/45.42  |              e11) = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) |
% 234.02/45.42  |          (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10,
% 234.02/45.42  |              e11) = e10)
% 234.02/45.42  |   (495)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 234.02/45.42  |              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) |
% 234.02/45.42  |          (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 234.02/45.42  |              e11) = e11)
% 234.02/45.42  |   (496)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 234.02/45.42  |              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) |
% 234.02/45.42  |          (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10,
% 234.02/45.42  |              e11) = e12)
% 234.02/45.42  |   (497)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13,
% 234.02/45.42  |              e11) = e13) | (all_25_11 = e13 & op1(e12, e11) = e13) |
% 234.02/45.42  |          (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10,
% 234.02/45.42  |              e11) = e13)
% 234.02/45.42  |   (498)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_10 = e14 & op1(e13,
% 234.02/45.42  |              e11) = e14) | (all_25_11 = e14 & op1(e12, e11) = e14) |
% 234.02/45.42  |          (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_23 = e14 & op1(e10,
% 234.02/45.42  |              e11) = e14)
% 234.02/45.42  |   (499)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 234.02/45.42  |              e13) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11
% 234.02/45.42  |            = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) =
% 234.02/45.42  |            e10)
% 234.02/45.42  |   (500)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 234.02/45.42  |              e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11
% 234.02/45.42  |            = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) =
% 234.02/45.42  |            e11)
% 234.02/45.42  |   (501)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 234.02/45.42  |              e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11
% 234.02/45.42  |            = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) =
% 234.02/45.42  |            e12)
% 234.02/45.42  |   (502)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7 = e13 & op1(e12,
% 234.02/45.42  |              e13) = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_11
% 234.02/45.42  |            = e13 & op1(e12, e11) = e13) | (all_25_18 = e13 & op1(e12, e10) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (503)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12,
% 234.02/45.42  |              e13) = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11
% 234.02/45.42  |            = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) =
% 234.02/45.42  |            e14)
% 234.02/45.42  |   (504)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 234.02/45.42  |              e12) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14
% 234.02/45.42  |            = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) =
% 234.02/45.42  |            e11)
% 234.02/45.42  |   (505)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13,
% 234.02/45.42  |              e12) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14
% 234.02/45.42  |            = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) =
% 234.02/45.42  |            e12)
% 234.02/45.42  |   (506)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13,
% 234.02/45.42  |              e12) = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14
% 234.02/45.42  |            = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (507)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 234.02/45.42  |              e12) = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14
% 234.02/45.42  |            = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) =
% 234.02/45.42  |            e14)
% 234.02/45.42  |   (508)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13,
% 234.02/45.42  |              e13) = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10
% 234.02/45.42  |            = e11 & op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) =
% 234.02/45.42  |            e11)
% 234.02/45.42  |   (509)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13,
% 234.02/45.42  |              e13) = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10
% 234.02/45.42  |            = e12 & op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) =
% 234.02/45.42  |            e12)
% 234.02/45.42  |   (510)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13,
% 234.02/45.42  |              e13) = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10
% 234.02/45.42  |            = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (511)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13,
% 234.02/45.42  |              e13) = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10
% 234.02/45.42  |            = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) =
% 234.02/45.42  |            e14)
% 234.02/45.42  |   (512)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 234.02/45.42  |              e13) = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13
% 234.02/45.42  |            = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) =
% 234.02/45.42  |            e10)
% 234.02/45.42  |   (513)  (all_25_1 = e12 & op1(e14, e13) = e12) | (all_25_3 = e12 & op1(e13,
% 234.02/45.42  |              e13) = e12) | (all_25_7 = e12 & op1(e12, e13) = e12) | (all_25_13
% 234.02/45.42  |            = e12 & op1(e11, e13) = e12) | (all_25_21 = e12 & op1(e10, e13) =
% 234.02/45.42  |            e12)
% 234.02/45.42  |   (514)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3 = e13 & op1(e13,
% 234.02/45.42  |              e13) = e13) | (all_25_7 = e13 & op1(e12, e13) = e13) | (all_25_13
% 234.02/45.42  |            = e13 & op1(e11, e13) = e13) | (all_25_21 = e13 & op1(e10, e13) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (515)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 234.02/45.42  |              e13) = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13
% 234.02/45.42  |            = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) =
% 234.02/45.42  |            e14)
% 234.02/45.42  |   (516)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13,
% 234.02/45.42  |              e14) = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12
% 234.02/45.42  |            = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) =
% 234.02/45.42  |            e10)
% 234.02/45.42  |   (517)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 234.02/45.42  |              e13) = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 234.02/45.42  |            = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) =
% 234.02/45.42  |            e10)
% 234.02/45.42  |   (518)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 234.02/45.42  |              e14) = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12
% 234.02/45.42  |            = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) =
% 234.02/45.42  |            e11)
% 234.02/45.42  |   (519)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 234.02/45.42  |              e13) = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 234.02/45.42  |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 234.02/45.42  |            e11)
% 234.02/45.42  |   (520)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13,
% 234.02/45.42  |              e14) = e13) | (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12
% 234.02/45.42  |            = e13 & op1(e11, e14) = e13) | (all_25_20 = e13 & op1(e10, e14) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (521)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14,
% 234.02/45.42  |              e13) = e13) | (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9
% 234.02/45.42  |            = e13 & op1(e14, e11) = e13) | (all_25_16 = e13 & op1(e14, e10) =
% 234.02/45.42  |            e13)
% 234.02/45.42  |   (522)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 234.02/45.42  |              e14) = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12
% 234.02/45.42  |            = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) =
% 234.02/45.42  |            e14)
% 234.02/45.43  |   (523)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 234.02/45.43  |              e13) = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 234.02/45.43  |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) =
% 234.02/45.43  |            e14)
% 234.02/45.43  | 
% 234.02/45.43  | DELTA: instantiating (55) with fresh symbols all_26_0, all_26_1, all_26_2,
% 234.02/45.43  |        all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 234.02/45.43  |        all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15,
% 234.02/45.43  |        all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21,
% 234.02/45.43  |        all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27,
% 234.02/45.43  |        all_26_28, all_26_29, all_26_30, all_26_31, all_26_32, all_26_33,
% 234.02/45.43  |        all_26_34, all_26_35, all_26_36, all_26_37, all_26_38, all_26_39,
% 234.02/45.43  |        all_26_40, all_26_41, all_26_42, all_26_43, all_26_44, all_26_45,
% 234.02/45.43  |        all_26_46, all_26_47, all_26_48, all_26_49, all_26_50, all_26_51,
% 234.02/45.43  |        all_26_52, all_26_53, all_26_54, all_26_55, all_26_56, all_26_57,
% 234.02/45.43  |        all_26_58, all_26_59, all_26_60, all_26_61, all_26_62, all_26_63,
% 234.02/45.43  |        all_26_64, all_26_65, all_26_66, all_26_67, all_26_68, all_26_69,
% 234.02/45.43  |        all_26_70, all_26_71, all_26_72, all_26_73, all_26_74, all_26_75,
% 234.02/45.43  |        all_26_76, all_26_77, all_26_78, all_26_79, all_26_80, all_26_81,
% 234.02/45.43  |        all_26_82, all_26_83, all_26_84, all_26_85, all_26_86, all_26_87,
% 234.02/45.43  |        all_26_88, all_26_89, all_26_90, all_26_91, all_26_92, all_26_93,
% 234.02/45.43  |        all_26_94, all_26_95, all_26_96, all_26_97, all_26_98, all_26_99,
% 234.02/45.43  |        all_26_100, all_26_101, all_26_102, all_26_103, all_26_104, all_26_105,
% 234.02/45.43  |        all_26_106, all_26_107, all_26_108, all_26_109, all_26_110, all_26_111,
% 234.02/45.43  |        all_26_112, all_26_113, all_26_114, all_26_115, all_26_116, all_26_117,
% 234.02/45.43  |        all_26_118, all_26_119, all_26_120, all_26_121, all_26_122, all_26_123,
% 234.02/45.43  |        all_26_124, all_26_125, all_26_126, all_26_127, all_26_128, all_26_129,
% 234.02/45.43  |        all_26_130, all_26_131, all_26_132, all_26_133, all_26_134, all_26_135,
% 234.02/45.43  |        all_26_136, all_26_137, all_26_138, all_26_139, all_26_140, all_26_141,
% 234.02/45.43  |        all_26_142, all_26_143, all_26_144, all_26_145, all_26_146, all_26_147,
% 234.02/45.43  |        all_26_148, all_26_149, all_26_150, all_26_151, all_26_152, all_26_153,
% 234.02/45.43  |        all_26_154, all_26_155, all_26_156, all_26_157, all_26_158, all_26_159,
% 234.02/45.43  |        all_26_160, all_26_161, all_26_162, all_26_163, all_26_164, all_26_165,
% 234.02/45.43  |        all_26_166, all_26_167, all_26_168, all_26_169, all_26_170, all_26_171,
% 234.02/45.43  |        all_26_172, all_26_173, all_26_174, all_26_175, all_26_176, all_26_177,
% 234.02/45.43  |        all_26_178, all_26_179, all_26_180, all_26_181, all_26_182, all_26_183,
% 234.02/45.43  |        all_26_184, all_26_185, all_26_186, all_26_187, all_26_188, all_26_189,
% 234.02/45.43  |        all_26_190, all_26_191, all_26_192, all_26_193, all_26_194, all_26_195,
% 234.02/45.43  |        all_26_196, all_26_197, all_26_198, all_26_199, all_26_200, all_26_201,
% 234.02/45.43  |        all_26_202, all_26_203, all_26_204, all_26_205, all_26_206, all_26_207,
% 234.02/45.43  |        all_26_208, all_26_209, all_26_210, all_26_211, all_26_212, all_26_213,
% 234.02/45.43  |        all_26_214, all_26_215, all_26_216, all_26_217, all_26_218, all_26_219,
% 234.02/45.43  |        all_26_220, all_26_221, all_26_222, all_26_223, all_26_224, all_26_225,
% 234.02/45.43  |        all_26_226, all_26_227, all_26_228, all_26_229, all_26_230, all_26_231,
% 234.02/45.43  |        all_26_232, all_26_233, all_26_234, all_26_235, all_26_236, all_26_237,
% 234.02/45.43  |        all_26_238, all_26_239, all_26_240, all_26_241, all_26_242, all_26_243,
% 234.02/45.43  |        all_26_244, all_26_245, all_26_246, all_26_247, all_26_248, all_26_249,
% 234.02/45.43  |        all_26_250, all_26_251, all_26_252, all_26_253, all_26_254, all_26_255,
% 234.02/45.43  |        all_26_256, all_26_257, all_26_258, all_26_259, all_26_260, all_26_261,
% 234.02/45.43  |        all_26_262, all_26_263, all_26_264, all_26_265, all_26_266, all_26_267,
% 234.02/45.43  |        all_26_268, all_26_269, all_26_270, all_26_271, all_26_272, all_26_273,
% 234.02/45.43  |        all_26_274, all_26_275, all_26_276, all_26_277, all_26_278, all_26_279,
% 234.02/45.43  |        all_26_280, all_26_281, all_26_282, all_26_283, all_26_284, all_26_285,
% 234.02/45.43  |        all_26_286, all_26_287, all_26_288, all_26_289, all_26_290, all_26_291,
% 234.02/45.43  |        all_26_292, all_26_293, all_26_294, all_26_295, all_26_296, all_26_297,
% 234.02/45.43  |        all_26_298, all_26_299 gives:
% 234.35/45.46  |   (524)  (( ~ (all_26_0 = all_26_1) & h5(all_26_222) = all_26_1 & h5(e14) =
% 234.35/45.46  |              all_26_41 & op2(all_26_41, all_26_41) = all_26_0 & op1(e14, e14)
% 234.35/45.46  |              = all_26_222 & $i(all_26_0) & $i(all_26_1) & $i(all_26_41) &
% 234.35/45.46  |              $i(all_26_222)) | ( ~ (all_26_2 = all_26_3) & h5(all_26_225) =
% 234.35/45.46  |              all_26_3 & h5(e14) = all_26_41 & h5(e13) = all_26_44 &
% 234.35/45.46  |              op2(all_26_41, all_26_44) = all_26_2 & op1(e14, e13) = all_26_225
% 234.35/45.46  |              & $i(all_26_2) & $i(all_26_3) & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_225)) | ( ~ (all_26_4 = all_26_5) & h5(all_26_228) =
% 234.35/45.46  |              all_26_5 & h5(e14) = all_26_41 & h5(e12) = all_26_47 &
% 234.35/45.46  |              op2(all_26_41, all_26_47) = all_26_4 & op1(e14, e12) = all_26_228
% 234.35/45.46  |              & $i(all_26_4) & $i(all_26_5) & $i(all_26_41) & $i(all_26_47) &
% 234.35/45.46  |              $i(all_26_228)) | ( ~ (all_26_6 = all_26_7) & h5(all_26_231) =
% 234.35/45.46  |              all_26_7 & h5(e14) = all_26_41 & h5(e11) = all_26_50 &
% 234.35/45.46  |              op2(all_26_41, all_26_50) = all_26_6 & op1(e14, e11) = all_26_231
% 234.35/45.46  |              & $i(all_26_6) & $i(all_26_7) & $i(all_26_41) & $i(all_26_50) &
% 234.35/45.46  |              $i(all_26_231)) | ( ~ (all_26_8 = all_26_9) & h5(all_26_234) =
% 234.35/45.46  |              all_26_9 & h5(e14) = all_26_41 & h5(e10) = all_26_53 &
% 234.35/45.46  |              op2(all_26_41, all_26_53) = all_26_8 & op1(e14, e10) = all_26_234
% 234.35/45.46  |              & $i(all_26_8) & $i(all_26_9) & $i(all_26_41) & $i(all_26_53) &
% 234.35/45.46  |              $i(all_26_234)) | ( ~ (all_26_10 = all_26_11) & h5(all_26_237) =
% 234.35/45.46  |              all_26_11 & h5(e14) = all_26_41 & h5(e13) = all_26_44 &
% 234.35/45.46  |              op2(all_26_44, all_26_41) = all_26_10 & op1(e13, e14) =
% 234.35/45.46  |              all_26_237 & $i(all_26_10) & $i(all_26_11) & $i(all_26_41) &
% 234.35/45.46  |              $i(all_26_44) & $i(all_26_237)) | ( ~ (all_26_12 = all_26_13) &
% 234.35/45.46  |              h5(all_26_240) = all_26_13 & h5(e13) = all_26_44 & op2(all_26_44,
% 234.35/45.46  |                all_26_44) = all_26_12 & op1(e13, e13) = all_26_240 &
% 234.35/45.46  |              $i(all_26_12) & $i(all_26_13) & $i(all_26_44) & $i(all_26_240)) |
% 234.35/45.46  |            ( ~ (all_26_14 = all_26_15) & h5(all_26_243) = all_26_15 & h5(e13)
% 234.35/45.46  |              = all_26_44 & h5(e12) = all_26_47 & op2(all_26_44, all_26_47) =
% 234.35/45.46  |              all_26_14 & op1(e13, e12) = all_26_243 & $i(all_26_14) &
% 234.35/45.46  |              $i(all_26_15) & $i(all_26_44) & $i(all_26_47) & $i(all_26_243)) |
% 234.35/45.46  |            ( ~ (all_26_16 = all_26_17) & h5(all_26_246) = all_26_17 & h5(e13)
% 234.35/45.46  |              = all_26_44 & h5(e11) = all_26_50 & op2(all_26_44, all_26_50) =
% 234.35/45.46  |              all_26_16 & op1(e13, e11) = all_26_246 & $i(all_26_16) &
% 234.35/45.46  |              $i(all_26_17) & $i(all_26_44) & $i(all_26_50) & $i(all_26_246)) |
% 234.35/45.46  |            ( ~ (all_26_18 = all_26_19) & h5(all_26_249) = all_26_19 & h5(e13)
% 234.35/45.46  |              = all_26_44 & h5(e10) = all_26_53 & op2(all_26_44, all_26_53) =
% 234.35/45.46  |              all_26_18 & op1(e13, e10) = all_26_249 & $i(all_26_18) &
% 234.35/45.46  |              $i(all_26_19) & $i(all_26_44) & $i(all_26_53) & $i(all_26_249)) |
% 234.35/45.46  |            ( ~ (all_26_20 = all_26_21) & h5(all_26_252) = all_26_21 & h5(e14)
% 234.35/45.46  |              = all_26_41 & h5(e12) = all_26_47 & op2(all_26_47, all_26_41) =
% 234.35/45.46  |              all_26_20 & op1(e12, e14) = all_26_252 & $i(all_26_20) &
% 234.35/45.46  |              $i(all_26_21) & $i(all_26_41) & $i(all_26_47) & $i(all_26_252)) |
% 234.35/45.46  |            ( ~ (all_26_22 = all_26_23) & h5(all_26_255) = all_26_23 & h5(e13)
% 234.35/45.46  |              = all_26_44 & h5(e12) = all_26_47 & op2(all_26_47, all_26_44) =
% 234.35/45.46  |              all_26_22 & op1(e12, e13) = all_26_255 & $i(all_26_22) &
% 234.35/45.46  |              $i(all_26_23) & $i(all_26_44) & $i(all_26_47) & $i(all_26_255)) |
% 234.35/45.46  |            ( ~ (all_26_24 = all_26_25) & h5(all_26_258) = all_26_25 & h5(e12)
% 234.35/45.46  |              = all_26_47 & op2(all_26_47, all_26_47) = all_26_24 & op1(e12,
% 234.35/45.46  |                e12) = all_26_258 & $i(all_26_24) & $i(all_26_25) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_258)) | ( ~ (all_26_26 = all_26_27) &
% 234.35/45.46  |              h5(all_26_261) = all_26_27 & h5(e12) = all_26_47 & h5(e11) =
% 234.35/45.46  |              all_26_50 & op2(all_26_47, all_26_50) = all_26_26 & op1(e12, e11)
% 234.35/45.46  |              = all_26_261 & $i(all_26_26) & $i(all_26_27) & $i(all_26_47) &
% 234.35/45.46  |              $i(all_26_50) & $i(all_26_261)) | ( ~ (all_26_28 = all_26_29) &
% 234.35/45.46  |              h5(all_26_264) = all_26_29 & h5(e12) = all_26_47 & h5(e10) =
% 234.35/45.46  |              all_26_53 & op2(all_26_47, all_26_53) = all_26_28 & op1(e12, e10)
% 234.35/45.46  |              = all_26_264 & $i(all_26_28) & $i(all_26_29) & $i(all_26_47) &
% 234.35/45.46  |              $i(all_26_53) & $i(all_26_264)) | ( ~ (all_26_30 = all_26_31) &
% 234.35/45.46  |              h5(all_26_267) = all_26_31 & h5(e14) = all_26_41 & h5(e11) =
% 234.35/45.46  |              all_26_50 & op2(all_26_50, all_26_41) = all_26_30 & op1(e11, e14)
% 234.35/45.46  |              = all_26_267 & $i(all_26_30) & $i(all_26_31) & $i(all_26_41) &
% 234.35/45.46  |              $i(all_26_50) & $i(all_26_267)) | ( ~ (all_26_32 = all_26_33) &
% 234.35/45.46  |              h5(all_26_270) = all_26_33 & h5(e13) = all_26_44 & h5(e11) =
% 234.35/45.46  |              all_26_50 & op2(all_26_50, all_26_44) = all_26_32 & op1(e11, e13)
% 234.35/45.46  |              = all_26_270 & $i(all_26_32) & $i(all_26_33) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_50) & $i(all_26_270)) | ( ~ (all_26_34 = all_26_35) &
% 234.35/45.46  |              h5(all_26_273) = all_26_35 & h5(e12) = all_26_47 & h5(e11) =
% 234.35/45.46  |              all_26_50 & op2(all_26_50, all_26_47) = all_26_34 & op1(e11, e12)
% 234.35/45.46  |              = all_26_273 & $i(all_26_34) & $i(all_26_35) & $i(all_26_47) &
% 234.35/45.46  |              $i(all_26_50) & $i(all_26_273)) | ( ~ (all_26_36 = all_26_37) &
% 234.35/45.46  |              h5(all_26_276) = all_26_37 & h5(e11) = all_26_50 & op2(all_26_50,
% 234.35/45.46  |                all_26_50) = all_26_36 & op1(e11, e11) = all_26_276 &
% 234.35/45.46  |              $i(all_26_36) & $i(all_26_37) & $i(all_26_50) & $i(all_26_276)) |
% 234.35/45.46  |            ( ~ (all_26_41 = e24) &  ~ (all_26_44 = e24) &  ~ (all_26_47 = e24)
% 234.35/45.46  |              &  ~ (all_26_50 = e24) &  ~ (all_26_53 = e24) & h5(e14) =
% 234.35/45.46  |              all_26_41 & h5(e13) = all_26_44 & h5(e12) = all_26_47 & h5(e11) =
% 234.35/45.46  |              all_26_50 & h5(e10) = all_26_53 & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_50) & $i(all_26_53)) | ( ~ (all_26_41 =
% 234.35/45.46  |                e23) &  ~ (all_26_44 = e23) &  ~ (all_26_47 = e23) &  ~
% 234.35/45.46  |              (all_26_50 = e23) &  ~ (all_26_53 = e23) & h5(e14) = all_26_41 &
% 234.35/45.46  |              h5(e13) = all_26_44 & h5(e12) = all_26_47 & h5(e11) = all_26_50 &
% 234.35/45.46  |              h5(e10) = all_26_53 & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_50) & $i(all_26_53)) | ( ~ (all_26_41 =
% 234.35/45.46  |                e22) &  ~ (all_26_44 = e22) &  ~ (all_26_47 = e22) &  ~
% 234.35/45.46  |              (all_26_50 = e22) &  ~ (all_26_53 = e22) & h5(e14) = all_26_41 &
% 234.35/45.46  |              h5(e13) = all_26_44 & h5(e12) = all_26_47 & h5(e11) = all_26_50 &
% 234.35/45.46  |              h5(e10) = all_26_53 & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_50) & $i(all_26_53)) | ( ~ (all_26_41 =
% 234.35/45.46  |                e21) &  ~ (all_26_44 = e21) &  ~ (all_26_47 = e21) &  ~
% 234.35/45.46  |              (all_26_50 = e21) &  ~ (all_26_53 = e21) & h5(e14) = all_26_41 &
% 234.35/45.46  |              h5(e13) = all_26_44 & h5(e12) = all_26_47 & h5(e11) = all_26_50 &
% 234.35/45.46  |              h5(e10) = all_26_53 & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_50) & $i(all_26_53)) | ( ~ (all_26_41 =
% 234.35/45.46  |                e20) &  ~ (all_26_44 = e20) &  ~ (all_26_47 = e20) &  ~
% 234.35/45.46  |              (all_26_50 = e20) &  ~ (all_26_53 = e20) & h5(e14) = all_26_41 &
% 234.35/45.46  |              h5(e13) = all_26_44 & h5(e12) = all_26_47 & h5(e11) = all_26_50 &
% 234.35/45.46  |              h5(e10) = all_26_53 & $i(all_26_41) & $i(all_26_44) &
% 234.35/45.46  |              $i(all_26_47) & $i(all_26_50) & $i(all_26_53)) | (h5(e10) =
% 234.35/45.46  |              all_26_53 & $i(all_26_53) & (( ~ (all_26_38 = all_26_39) &
% 234.35/45.46  |                  h5(all_26_279) = all_26_39 & h5(e11) = all_26_50 &
% 234.35/45.46  |                  op2(all_26_50, all_26_53) = all_26_38 & op1(e11, e10) =
% 234.35/45.46  |                  all_26_279 & $i(all_26_38) & $i(all_26_39) & $i(all_26_50) &
% 234.35/45.46  |                  $i(all_26_279)) | ( ~ (all_26_40 = all_26_42) &
% 234.35/45.46  |                  h5(all_26_283) = all_26_42 & h5(e14) = all_26_41 &
% 234.35/45.46  |                  op2(all_26_53, all_26_41) = all_26_40 & op1(e10, e14) =
% 234.35/45.46  |                  all_26_283 & $i(all_26_40) & $i(all_26_41) & $i(all_26_42) &
% 234.35/45.46  |                  $i(all_26_283)) | ( ~ (all_26_43 = all_26_45) &
% 234.35/45.46  |                  h5(all_26_287) = all_26_45 & h5(e13) = all_26_44 &
% 234.35/45.46  |                  op2(all_26_53, all_26_44) = all_26_43 & op1(e10, e13) =
% 234.35/45.46  |                  all_26_287 & $i(all_26_43) & $i(all_26_44) & $i(all_26_45) &
% 234.35/45.46  |                  $i(all_26_287)) | ( ~ (all_26_46 = all_26_48) &
% 234.35/45.46  |                  h5(all_26_291) = all_26_48 & h5(e12) = all_26_47 &
% 234.35/45.46  |                  op2(all_26_53, all_26_47) = all_26_46 & op1(e10, e12) =
% 234.35/45.46  |                  all_26_291 & $i(all_26_46) & $i(all_26_47) & $i(all_26_48) &
% 234.35/45.46  |                  $i(all_26_291)) | ( ~ (all_26_49 = all_26_51) &
% 234.35/45.46  |                  h5(all_26_295) = all_26_51 & h5(e11) = all_26_50 &
% 234.35/45.46  |                  op2(all_26_53, all_26_50) = all_26_49 & op1(e10, e11) =
% 234.35/45.46  |                  all_26_295 & $i(all_26_49) & $i(all_26_50) & $i(all_26_51) &
% 234.35/45.46  |                  $i(all_26_295)) | ( ~ (all_26_52 = all_26_54) &
% 234.35/45.46  |                  h5(all_26_299) = all_26_54 & op2(all_26_53, all_26_53) =
% 234.35/45.46  |                  all_26_52 & op1(e10, e10) = all_26_299 & $i(all_26_52) &
% 234.35/45.46  |                  $i(all_26_54) & $i(all_26_299))))) & (( ~ (all_26_55 =
% 234.35/45.46  |                all_26_56) & h4(all_26_222) = all_26_56 & h4(e14) = all_26_96 &
% 234.35/45.46  |              op2(all_26_96, all_26_96) = all_26_55 & op1(e14, e14) =
% 234.35/45.46  |              all_26_222 & $i(all_26_55) & $i(all_26_56) & $i(all_26_96) &
% 234.35/45.46  |              $i(all_26_222)) | ( ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 234.35/45.46  |              all_26_58 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 234.35/45.46  |              op2(all_26_96, all_26_99) = all_26_57 & op1(e14, e13) =
% 234.35/45.46  |              all_26_225 & $i(all_26_57) & $i(all_26_58) & $i(all_26_96) &
% 234.35/45.46  |              $i(all_26_99) & $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) &
% 234.35/45.46  |              h4(all_26_228) = all_26_60 & h4(e14) = all_26_96 & h4(e12) =
% 234.35/45.46  |              all_26_102 & op2(all_26_96, all_26_102) = all_26_59 & op1(e14,
% 234.35/45.46  |                e12) = all_26_228 & $i(all_26_59) & $i(all_26_60) &
% 234.35/45.46  |              $i(all_26_96) & $i(all_26_102) & $i(all_26_228)) | ( ~ (all_26_61
% 234.35/45.46  |                = all_26_62) & h4(all_26_231) = all_26_62 & h4(e14) = all_26_96
% 234.35/45.46  |              & h4(e11) = all_26_105 & op2(all_26_96, all_26_105) = all_26_61 &
% 234.35/45.46  |              op1(e14, e11) = all_26_231 & $i(all_26_61) & $i(all_26_62) &
% 234.35/45.46  |              $i(all_26_96) & $i(all_26_105) & $i(all_26_231)) | ( ~ (all_26_63
% 234.35/45.46  |                = all_26_64) & h4(all_26_234) = all_26_64 & h4(e14) = all_26_96
% 234.35/45.46  |              & h4(e10) = all_26_108 & op2(all_26_96, all_26_108) = all_26_63 &
% 234.35/45.46  |              op1(e14, e10) = all_26_234 & $i(all_26_63) & $i(all_26_64) &
% 234.35/45.46  |              $i(all_26_96) & $i(all_26_108) & $i(all_26_234)) | ( ~ (all_26_65
% 234.35/45.46  |                = all_26_66) & h4(all_26_237) = all_26_66 & h4(e14) = all_26_96
% 234.35/45.46  |              & h4(e13) = all_26_99 & op2(all_26_99, all_26_96) = all_26_65 &
% 234.35/45.46  |              op1(e13, e14) = all_26_237 & $i(all_26_65) & $i(all_26_66) &
% 234.35/45.46  |              $i(all_26_96) & $i(all_26_99) & $i(all_26_237)) | ( ~ (all_26_67
% 234.35/45.46  |                = all_26_68) & h4(all_26_240) = all_26_68 & h4(e13) = all_26_99
% 234.35/45.46  |              & op2(all_26_99, all_26_99) = all_26_67 & op1(e13, e13) =
% 234.35/45.46  |              all_26_240 & $i(all_26_67) & $i(all_26_68) & $i(all_26_99) &
% 234.35/45.46  |              $i(all_26_240)) | ( ~ (all_26_69 = all_26_70) & h4(all_26_243) =
% 234.35/45.46  |              all_26_70 & h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 234.35/45.46  |              op2(all_26_99, all_26_102) = all_26_69 & op1(e13, e12) =
% 234.35/45.46  |              all_26_243 & $i(all_26_69) & $i(all_26_70) & $i(all_26_99) &
% 234.35/45.46  |              $i(all_26_102) & $i(all_26_243)) | ( ~ (all_26_71 = all_26_72) &
% 234.35/45.46  |              h4(all_26_246) = all_26_72 & h4(e13) = all_26_99 & h4(e11) =
% 234.35/45.46  |              all_26_105 & op2(all_26_99, all_26_105) = all_26_71 & op1(e13,
% 234.35/45.46  |                e11) = all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 234.35/45.46  |              $i(all_26_99) & $i(all_26_105) & $i(all_26_246)) | ( ~ (all_26_73
% 234.35/45.46  |                = all_26_74) & h4(all_26_249) = all_26_74 & h4(e13) = all_26_99
% 234.35/45.46  |              & h4(e10) = all_26_108 & op2(all_26_99, all_26_108) = all_26_73 &
% 234.35/45.46  |              op1(e13, e10) = all_26_249 & $i(all_26_73) & $i(all_26_74) &
% 234.35/45.46  |              $i(all_26_99) & $i(all_26_108) & $i(all_26_249)) | ( ~ (all_26_75
% 234.35/45.46  |                = all_26_76) & h4(all_26_252) = all_26_76 & h4(e14) = all_26_96
% 234.35/45.46  |              & h4(e12) = all_26_102 & op2(all_26_102, all_26_96) = all_26_75 &
% 234.35/45.46  |              op1(e12, e14) = all_26_252 & $i(all_26_75) & $i(all_26_76) &
% 234.35/45.46  |              $i(all_26_96) & $i(all_26_102) & $i(all_26_252)) | ( ~ (all_26_77
% 234.35/45.46  |                = all_26_78) & h4(all_26_255) = all_26_78 & h4(e13) = all_26_99
% 234.35/45.46  |              & h4(e12) = all_26_102 & op2(all_26_102, all_26_99) = all_26_77 &
% 234.35/45.46  |              op1(e12, e13) = all_26_255 & $i(all_26_77) & $i(all_26_78) &
% 234.35/45.46  |              $i(all_26_99) & $i(all_26_102) & $i(all_26_255)) | ( ~ (all_26_79
% 234.35/45.46  |                = all_26_80) & h4(all_26_258) = all_26_80 & h4(e12) =
% 234.35/45.46  |              all_26_102 & op2(all_26_102, all_26_102) = all_26_79 & op1(e12,
% 234.35/45.46  |                e12) = all_26_258 & $i(all_26_79) & $i(all_26_80) &
% 234.35/45.46  |              $i(all_26_102) & $i(all_26_258)) | ( ~ (all_26_81 = all_26_82) &
% 234.35/45.46  |              h4(all_26_261) = all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 234.35/45.46  |              all_26_105 & op2(all_26_102, all_26_105) = all_26_81 & op1(e12,
% 234.35/45.46  |                e11) = all_26_261 & $i(all_26_81) & $i(all_26_82) &
% 234.35/45.46  |              $i(all_26_102) & $i(all_26_105) & $i(all_26_261)) | ( ~
% 234.35/45.46  |              (all_26_83 = all_26_84) & h4(all_26_264) = all_26_84 & h4(e12) =
% 234.35/45.46  |              all_26_102 & h4(e10) = all_26_108 & op2(all_26_102, all_26_108) =
% 234.35/45.46  |              all_26_83 & op1(e12, e10) = all_26_264 & $i(all_26_83) &
% 234.35/45.46  |              $i(all_26_84) & $i(all_26_102) & $i(all_26_108) & $i(all_26_264))
% 234.35/45.46  |            | ( ~ (all_26_85 = all_26_86) & h4(all_26_267) = all_26_86 &
% 234.35/45.46  |              h4(e14) = all_26_96 & h4(e11) = all_26_105 & op2(all_26_105,
% 234.35/45.46  |                all_26_96) = all_26_85 & op1(e11, e14) = all_26_267 &
% 234.35/45.46  |              $i(all_26_85) & $i(all_26_86) & $i(all_26_96) & $i(all_26_105) &
% 234.35/45.46  |              $i(all_26_267)) | ( ~ (all_26_87 = all_26_88) & h4(all_26_270) =
% 234.35/45.46  |              all_26_88 & h4(e13) = all_26_99 & h4(e11) = all_26_105 &
% 234.35/45.46  |              op2(all_26_105, all_26_99) = all_26_87 & op1(e11, e13) =
% 234.35/45.46  |              all_26_270 & $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_270)) | ( ~ (all_26_89 = all_26_90) &
% 234.35/45.46  |              h4(all_26_273) = all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 234.35/45.46  |              all_26_105 & op2(all_26_105, all_26_102) = all_26_89 & op1(e11,
% 234.35/45.46  |                e12) = all_26_273 & $i(all_26_89) & $i(all_26_90) &
% 234.35/45.46  |              $i(all_26_102) & $i(all_26_105) & $i(all_26_273)) | ( ~
% 234.35/45.46  |              (all_26_91 = all_26_92) & h4(all_26_276) = all_26_92 & h4(e11) =
% 234.35/45.46  |              all_26_105 & op2(all_26_105, all_26_105) = all_26_91 & op1(e11,
% 234.35/45.46  |                e11) = all_26_276 & $i(all_26_91) & $i(all_26_92) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_276)) | ( ~ (all_26_96 = e24) &  ~
% 234.35/45.46  |              (all_26_99 = e24) &  ~ (all_26_102 = e24) &  ~ (all_26_105 = e24)
% 234.35/45.46  |              &  ~ (all_26_108 = e24) & h4(e14) = all_26_96 & h4(e13) =
% 234.35/45.46  |              all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10)
% 234.35/45.46  |              = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e23) &  ~
% 234.35/45.46  |              (all_26_99 = e23) &  ~ (all_26_102 = e23) &  ~ (all_26_105 = e23)
% 234.35/45.46  |              &  ~ (all_26_108 = e23) & h4(e14) = all_26_96 & h4(e13) =
% 234.35/45.46  |              all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10)
% 234.35/45.46  |              = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e22) &  ~
% 234.35/45.46  |              (all_26_99 = e22) &  ~ (all_26_102 = e22) &  ~ (all_26_105 = e22)
% 234.35/45.46  |              &  ~ (all_26_108 = e22) & h4(e14) = all_26_96 & h4(e13) =
% 234.35/45.46  |              all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10)
% 234.35/45.46  |              = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e21) &  ~
% 234.35/45.46  |              (all_26_99 = e21) &  ~ (all_26_102 = e21) &  ~ (all_26_105 = e21)
% 234.35/45.46  |              &  ~ (all_26_108 = e21) & h4(e14) = all_26_96 & h4(e13) =
% 234.35/45.46  |              all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10)
% 234.35/45.46  |              = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e20) &  ~
% 234.35/45.46  |              (all_26_99 = e20) &  ~ (all_26_102 = e20) &  ~ (all_26_105 = e20)
% 234.35/45.46  |              &  ~ (all_26_108 = e20) & h4(e14) = all_26_96 & h4(e13) =
% 234.35/45.46  |              all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10)
% 234.35/45.46  |              = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 234.35/45.46  |              $i(all_26_105) & $i(all_26_108)) | (h4(e10) = all_26_108 &
% 234.35/45.46  |              $i(all_26_108) & (( ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 234.35/45.46  |                  all_26_94 & h4(e11) = all_26_105 & op2(all_26_105,
% 234.35/45.46  |                    all_26_108) = all_26_93 & op1(e11, e10) = all_26_279 &
% 234.35/45.46  |                  $i(all_26_93) & $i(all_26_94) & $i(all_26_105) &
% 234.35/45.46  |                  $i(all_26_279)) | ( ~ (all_26_95 = all_26_97) &
% 234.35/45.46  |                  h4(all_26_283) = all_26_97 & h4(e14) = all_26_96 &
% 234.35/45.46  |                  op2(all_26_108, all_26_96) = all_26_95 & op1(e10, e14) =
% 234.35/45.46  |                  all_26_283 & $i(all_26_95) & $i(all_26_96) & $i(all_26_97) &
% 234.35/45.46  |                  $i(all_26_283)) | ( ~ (all_26_98 = all_26_100) &
% 234.35/45.46  |                  h4(all_26_287) = all_26_100 & h4(e13) = all_26_99 &
% 234.35/45.46  |                  op2(all_26_108, all_26_99) = all_26_98 & op1(e10, e13) =
% 234.35/45.46  |                  all_26_287 & $i(all_26_98) & $i(all_26_99) & $i(all_26_100) &
% 234.35/45.46  |                  $i(all_26_287)) | ( ~ (all_26_101 = all_26_103) &
% 234.35/45.46  |                  h4(all_26_291) = all_26_103 & h4(e12) = all_26_102 &
% 234.35/45.46  |                  op2(all_26_108, all_26_102) = all_26_101 & op1(e10, e12) =
% 234.35/45.46  |                  all_26_291 & $i(all_26_101) & $i(all_26_102) & $i(all_26_103)
% 234.35/45.46  |                  & $i(all_26_291)) | ( ~ (all_26_104 = all_26_106) &
% 234.35/45.46  |                  h4(all_26_295) = all_26_106 & h4(e11) = all_26_105 &
% 234.35/45.46  |                  op2(all_26_108, all_26_105) = all_26_104 & op1(e10, e11) =
% 234.35/45.46  |                  all_26_295 & $i(all_26_104) & $i(all_26_105) & $i(all_26_106)
% 234.35/45.46  |                  & $i(all_26_295)) | ( ~ (all_26_107 = all_26_109) &
% 234.35/45.46  |                  h4(all_26_299) = all_26_109 & op2(all_26_108, all_26_108) =
% 234.35/45.46  |                  all_26_107 & op1(e10, e10) = all_26_299 & $i(all_26_107) &
% 234.35/45.46  |                  $i(all_26_109) & $i(all_26_299))))) & (( ~ (all_26_110 =
% 234.35/45.46  |                all_26_111) & h3(all_26_222) = all_26_111 & h3(e14) =
% 234.35/45.46  |              all_26_151 & op2(all_26_151, all_26_151) = all_26_110 & op1(e14,
% 234.35/45.46  |                e14) = all_26_222 & $i(all_26_110) & $i(all_26_111) &
% 234.35/45.46  |              $i(all_26_151) & $i(all_26_222)) | ( ~ (all_26_112 = all_26_113)
% 234.35/45.46  |              & h3(all_26_225) = all_26_113 & h3(e14) = all_26_151 & h3(e13) =
% 234.35/45.46  |              all_26_154 & op2(all_26_151, all_26_154) = all_26_112 & op1(e14,
% 234.35/45.46  |                e13) = all_26_225 & $i(all_26_112) & $i(all_26_113) &
% 234.35/45.46  |              $i(all_26_151) & $i(all_26_154) & $i(all_26_225)) | ( ~
% 234.35/45.46  |              (all_26_114 = all_26_115) & h3(all_26_228) = all_26_115 & h3(e14)
% 234.35/45.46  |              = all_26_151 & h3(e12) = all_26_157 & op2(all_26_151, all_26_157)
% 234.35/45.46  |              = all_26_114 & op1(e14, e12) = all_26_228 & $i(all_26_114) &
% 234.35/45.46  |              $i(all_26_115) & $i(all_26_151) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_228)) | ( ~ (all_26_116 = all_26_117) & h3(all_26_231)
% 234.35/45.46  |              = all_26_117 & h3(e14) = all_26_151 & h3(e11) = all_26_160 &
% 234.35/45.46  |              op2(all_26_151, all_26_160) = all_26_116 & op1(e14, e11) =
% 234.35/45.46  |              all_26_231 & $i(all_26_116) & $i(all_26_117) & $i(all_26_151) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_231)) | ( ~ (all_26_118 = all_26_119)
% 234.35/45.46  |              & h3(all_26_234) = all_26_119 & h3(e14) = all_26_151 & h3(e10) =
% 234.35/45.46  |              all_26_163 & op2(all_26_151, all_26_163) = all_26_118 & op1(e14,
% 234.35/45.46  |                e10) = all_26_234 & $i(all_26_118) & $i(all_26_119) &
% 234.35/45.46  |              $i(all_26_151) & $i(all_26_163) & $i(all_26_234)) | ( ~
% 234.35/45.46  |              (all_26_120 = all_26_121) & h3(all_26_237) = all_26_121 & h3(e14)
% 234.35/45.46  |              = all_26_151 & h3(e13) = all_26_154 & op2(all_26_154, all_26_151)
% 234.35/45.46  |              = all_26_120 & op1(e13, e14) = all_26_237 & $i(all_26_120) &
% 234.35/45.46  |              $i(all_26_121) & $i(all_26_151) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_237)) | ( ~ (all_26_122 = all_26_123) & h3(all_26_240)
% 234.35/45.46  |              = all_26_123 & h3(e13) = all_26_154 & op2(all_26_154, all_26_154)
% 234.35/45.46  |              = all_26_122 & op1(e13, e13) = all_26_240 & $i(all_26_122) &
% 234.35/45.46  |              $i(all_26_123) & $i(all_26_154) & $i(all_26_240)) | ( ~
% 234.35/45.46  |              (all_26_124 = all_26_125) & h3(all_26_243) = all_26_125 & h3(e13)
% 234.35/45.46  |              = all_26_154 & h3(e12) = all_26_157 & op2(all_26_154, all_26_157)
% 234.35/45.46  |              = all_26_124 & op1(e13, e12) = all_26_243 & $i(all_26_124) &
% 234.35/45.46  |              $i(all_26_125) & $i(all_26_154) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_243)) | ( ~ (all_26_126 = all_26_127) & h3(all_26_246)
% 234.35/45.46  |              = all_26_127 & h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 234.35/45.46  |              op2(all_26_154, all_26_160) = all_26_126 & op1(e13, e11) =
% 234.35/45.46  |              all_26_246 & $i(all_26_126) & $i(all_26_127) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_246)) | ( ~ (all_26_128 = all_26_129)
% 234.35/45.46  |              & h3(all_26_249) = all_26_129 & h3(e13) = all_26_154 & h3(e10) =
% 234.35/45.46  |              all_26_163 & op2(all_26_154, all_26_163) = all_26_128 & op1(e13,
% 234.35/45.46  |                e10) = all_26_249 & $i(all_26_128) & $i(all_26_129) &
% 234.35/45.46  |              $i(all_26_154) & $i(all_26_163) & $i(all_26_249)) | ( ~
% 234.35/45.46  |              (all_26_130 = all_26_131) & h3(all_26_252) = all_26_131 & h3(e14)
% 234.35/45.46  |              = all_26_151 & h3(e12) = all_26_157 & op2(all_26_157, all_26_151)
% 234.35/45.46  |              = all_26_130 & op1(e12, e14) = all_26_252 & $i(all_26_130) &
% 234.35/45.46  |              $i(all_26_131) & $i(all_26_151) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_252)) | ( ~ (all_26_132 = all_26_133) & h3(all_26_255)
% 234.35/45.46  |              = all_26_133 & h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 234.35/45.46  |              op2(all_26_157, all_26_154) = all_26_132 & op1(e12, e13) =
% 234.35/45.46  |              all_26_255 & $i(all_26_132) & $i(all_26_133) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_157) & $i(all_26_255)) | ( ~ (all_26_134 = all_26_135)
% 234.35/45.46  |              & h3(all_26_258) = all_26_135 & h3(e12) = all_26_157 &
% 234.35/45.46  |              op2(all_26_157, all_26_157) = all_26_134 & op1(e12, e12) =
% 234.35/45.46  |              all_26_258 & $i(all_26_134) & $i(all_26_135) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_258)) | ( ~ (all_26_136 = all_26_137) & h3(all_26_261)
% 234.35/45.46  |              = all_26_137 & h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 234.35/45.46  |              op2(all_26_157, all_26_160) = all_26_136 & op1(e12, e11) =
% 234.35/45.46  |              all_26_261 & $i(all_26_136) & $i(all_26_137) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_261)) | ( ~ (all_26_138 = all_26_139)
% 234.35/45.46  |              & h3(all_26_264) = all_26_139 & h3(e12) = all_26_157 & h3(e10) =
% 234.35/45.46  |              all_26_163 & op2(all_26_157, all_26_163) = all_26_138 & op1(e12,
% 234.35/45.46  |                e10) = all_26_264 & $i(all_26_138) & $i(all_26_139) &
% 234.35/45.46  |              $i(all_26_157) & $i(all_26_163) & $i(all_26_264)) | ( ~
% 234.35/45.46  |              (all_26_140 = all_26_141) & h3(all_26_267) = all_26_141 & h3(e14)
% 234.35/45.46  |              = all_26_151 & h3(e11) = all_26_160 & op2(all_26_160, all_26_151)
% 234.35/45.46  |              = all_26_140 & op1(e11, e14) = all_26_267 & $i(all_26_140) &
% 234.35/45.46  |              $i(all_26_141) & $i(all_26_151) & $i(all_26_160) &
% 234.35/45.46  |              $i(all_26_267)) | ( ~ (all_26_142 = all_26_143) & h3(all_26_270)
% 234.35/45.46  |              = all_26_143 & h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 234.35/45.46  |              op2(all_26_160, all_26_154) = all_26_142 & op1(e11, e13) =
% 234.35/45.46  |              all_26_270 & $i(all_26_142) & $i(all_26_143) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_270)) | ( ~ (all_26_144 = all_26_145)
% 234.35/45.46  |              & h3(all_26_273) = all_26_145 & h3(e12) = all_26_157 & h3(e11) =
% 234.35/45.46  |              all_26_160 & op2(all_26_160, all_26_157) = all_26_144 & op1(e11,
% 234.35/45.46  |                e12) = all_26_273 & $i(all_26_144) & $i(all_26_145) &
% 234.35/45.46  |              $i(all_26_157) & $i(all_26_160) & $i(all_26_273)) | ( ~
% 234.35/45.46  |              (all_26_146 = all_26_147) & h3(all_26_276) = all_26_147 & h3(e11)
% 234.35/45.46  |              = all_26_160 & op2(all_26_160, all_26_160) = all_26_146 &
% 234.35/45.46  |              op1(e11, e11) = all_26_276 & $i(all_26_146) & $i(all_26_147) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_276)) | ( ~ (all_26_151 = e24) &  ~
% 234.35/45.46  |              (all_26_154 = e24) &  ~ (all_26_157 = e24) &  ~ (all_26_160 =
% 234.35/45.46  |                e24) &  ~ (all_26_163 = e24) & h3(e14) = all_26_151 & h3(e13) =
% 234.35/45.46  |              all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 234.35/45.46  |              h3(e10) = all_26_163 & $i(all_26_151) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_157) & $i(all_26_160) & $i(all_26_163)) | ( ~
% 234.35/45.46  |              (all_26_151 = e23) &  ~ (all_26_154 = e23) &  ~ (all_26_157 =
% 234.35/45.46  |                e23) &  ~ (all_26_160 = e23) &  ~ (all_26_163 = e23) & h3(e14)
% 234.35/45.46  |              = all_26_151 & h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 234.35/45.46  |              h3(e11) = all_26_160 & h3(e10) = all_26_163 & $i(all_26_151) &
% 234.35/45.46  |              $i(all_26_154) & $i(all_26_157) & $i(all_26_160) &
% 234.35/45.46  |              $i(all_26_163)) | ( ~ (all_26_151 = e22) &  ~ (all_26_154 = e22)
% 234.35/45.46  |              &  ~ (all_26_157 = e22) &  ~ (all_26_160 = e22) &  ~ (all_26_163
% 234.35/45.46  |                = e22) & h3(e14) = all_26_151 & h3(e13) = all_26_154 & h3(e12)
% 234.35/45.46  |              = all_26_157 & h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 234.35/45.46  |              $i(all_26_151) & $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 234.35/45.46  |              & $i(all_26_163)) | ( ~ (all_26_151 = e21) &  ~ (all_26_154 =
% 234.35/45.46  |                e21) &  ~ (all_26_157 = e21) &  ~ (all_26_160 = e21) &  ~
% 234.35/45.46  |              (all_26_163 = e21) & h3(e14) = all_26_151 & h3(e13) = all_26_154
% 234.35/45.46  |              & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10) =
% 234.35/45.46  |              all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.35/45.46  |              $i(all_26_160) & $i(all_26_163)) | ( ~ (all_26_151 = e20) &  ~
% 234.35/45.46  |              (all_26_154 = e20) &  ~ (all_26_157 = e20) &  ~ (all_26_160 =
% 234.35/45.46  |                e20) &  ~ (all_26_163 = e20) & h3(e14) = all_26_151 & h3(e13) =
% 234.35/45.46  |              all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 234.35/45.46  |              h3(e10) = all_26_163 & $i(all_26_151) & $i(all_26_154) &
% 234.35/45.46  |              $i(all_26_157) & $i(all_26_160) & $i(all_26_163)) | (h3(e10) =
% 234.35/45.46  |              all_26_163 & $i(all_26_163) & (( ~ (all_26_148 = all_26_149) &
% 234.35/45.46  |                  h3(all_26_279) = all_26_149 & h3(e11) = all_26_160 &
% 234.35/45.46  |                  op2(all_26_160, all_26_163) = all_26_148 & op1(e11, e10) =
% 234.35/45.46  |                  all_26_279 & $i(all_26_148) & $i(all_26_149) & $i(all_26_160)
% 234.35/45.46  |                  & $i(all_26_279)) | ( ~ (all_26_150 = all_26_152) &
% 234.35/45.46  |                  h3(all_26_283) = all_26_152 & h3(e14) = all_26_151 &
% 234.35/45.46  |                  op2(all_26_163, all_26_151) = all_26_150 & op1(e10, e14) =
% 234.35/45.46  |                  all_26_283 & $i(all_26_150) & $i(all_26_151) & $i(all_26_152)
% 234.35/45.46  |                  & $i(all_26_283)) | ( ~ (all_26_153 = all_26_155) &
% 234.35/45.46  |                  h3(all_26_287) = all_26_155 & h3(e13) = all_26_154 &
% 234.35/45.46  |                  op2(all_26_163, all_26_154) = all_26_153 & op1(e10, e13) =
% 234.35/45.46  |                  all_26_287 & $i(all_26_153) & $i(all_26_154) & $i(all_26_155)
% 234.35/45.46  |                  & $i(all_26_287)) | ( ~ (all_26_156 = all_26_158) &
% 234.35/45.46  |                  h3(all_26_291) = all_26_158 & h3(e12) = all_26_157 &
% 234.35/45.46  |                  op2(all_26_163, all_26_157) = all_26_156 & op1(e10, e12) =
% 234.35/45.46  |                  all_26_291 & $i(all_26_156) & $i(all_26_157) & $i(all_26_158)
% 234.35/45.46  |                  & $i(all_26_291)) | ( ~ (all_26_159 = all_26_161) &
% 234.35/45.46  |                  h3(all_26_295) = all_26_161 & h3(e11) = all_26_160 &
% 234.35/45.46  |                  op2(all_26_163, all_26_160) = all_26_159 & op1(e10, e11) =
% 234.35/45.46  |                  all_26_295 & $i(all_26_159) & $i(all_26_160) & $i(all_26_161)
% 234.35/45.46  |                  & $i(all_26_295)) | ( ~ (all_26_162 = all_26_164) &
% 234.35/45.46  |                  h3(all_26_299) = all_26_164 & op2(all_26_163, all_26_163) =
% 234.35/45.46  |                  all_26_162 & op1(e10, e10) = all_26_299 & $i(all_26_162) &
% 234.35/45.46  |                  $i(all_26_164) & $i(all_26_299))))) & (( ~ (all_26_165 =
% 234.35/45.46  |                all_26_166) & h2(all_26_222) = all_26_166 & h2(e14) =
% 234.35/45.46  |              all_26_206 & op2(all_26_206, all_26_206) = all_26_165 & op1(e14,
% 234.35/45.46  |                e14) = all_26_222 & $i(all_26_165) & $i(all_26_166) &
% 234.35/45.46  |              $i(all_26_206) & $i(all_26_222)) | ( ~ (all_26_167 = all_26_168)
% 234.35/45.46  |              & h2(all_26_225) = all_26_168 & h2(e14) = all_26_206 & h2(e13) =
% 234.35/45.46  |              all_26_209 & op2(all_26_206, all_26_209) = all_26_167 & op1(e14,
% 234.35/45.46  |                e13) = all_26_225 & $i(all_26_167) & $i(all_26_168) &
% 234.35/45.46  |              $i(all_26_206) & $i(all_26_209) & $i(all_26_225)) | ( ~
% 234.35/45.46  |              (all_26_169 = all_26_170) & h2(all_26_228) = all_26_170 & h2(e14)
% 234.35/45.46  |              = all_26_206 & h2(e12) = all_26_212 & op2(all_26_206, all_26_212)
% 234.35/45.46  |              = all_26_169 & op1(e14, e12) = all_26_228 & $i(all_26_169) &
% 234.35/45.46  |              $i(all_26_170) & $i(all_26_206) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_228)) | ( ~ (all_26_171 = all_26_172) & h2(all_26_231)
% 234.35/45.46  |              = all_26_172 & h2(e14) = all_26_206 & h2(e11) = all_26_215 &
% 234.35/45.46  |              op2(all_26_206, all_26_215) = all_26_171 & op1(e14, e11) =
% 234.35/45.46  |              all_26_231 & $i(all_26_171) & $i(all_26_172) & $i(all_26_206) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_231)) | ( ~ (all_26_173 = all_26_174)
% 234.35/45.46  |              & h2(all_26_234) = all_26_174 & h2(e14) = all_26_206 & h2(e10) =
% 234.35/45.46  |              all_26_218 & op2(all_26_206, all_26_218) = all_26_173 & op1(e14,
% 234.35/45.46  |                e10) = all_26_234 & $i(all_26_173) & $i(all_26_174) &
% 234.35/45.46  |              $i(all_26_206) & $i(all_26_218) & $i(all_26_234)) | ( ~
% 234.35/45.46  |              (all_26_175 = all_26_176) & h2(all_26_237) = all_26_176 & h2(e14)
% 234.35/45.46  |              = all_26_206 & h2(e13) = all_26_209 & op2(all_26_209, all_26_206)
% 234.35/45.46  |              = all_26_175 & op1(e13, e14) = all_26_237 & $i(all_26_175) &
% 234.35/45.46  |              $i(all_26_176) & $i(all_26_206) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_237)) | ( ~ (all_26_177 = all_26_178) & h2(all_26_240)
% 234.35/45.46  |              = all_26_178 & h2(e13) = all_26_209 & op2(all_26_209, all_26_209)
% 234.35/45.46  |              = all_26_177 & op1(e13, e13) = all_26_240 & $i(all_26_177) &
% 234.35/45.46  |              $i(all_26_178) & $i(all_26_209) & $i(all_26_240)) | ( ~
% 234.35/45.46  |              (all_26_179 = all_26_180) & h2(all_26_243) = all_26_180 & h2(e13)
% 234.35/45.46  |              = all_26_209 & h2(e12) = all_26_212 & op2(all_26_209, all_26_212)
% 234.35/45.46  |              = all_26_179 & op1(e13, e12) = all_26_243 & $i(all_26_179) &
% 234.35/45.46  |              $i(all_26_180) & $i(all_26_209) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_243)) | ( ~ (all_26_181 = all_26_182) & h2(all_26_246)
% 234.35/45.46  |              = all_26_182 & h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 234.35/45.46  |              op2(all_26_209, all_26_215) = all_26_181 & op1(e13, e11) =
% 234.35/45.46  |              all_26_246 & $i(all_26_181) & $i(all_26_182) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_246)) | ( ~ (all_26_183 = all_26_184)
% 234.35/45.46  |              & h2(all_26_249) = all_26_184 & h2(e13) = all_26_209 & h2(e10) =
% 234.35/45.46  |              all_26_218 & op2(all_26_209, all_26_218) = all_26_183 & op1(e13,
% 234.35/45.46  |                e10) = all_26_249 & $i(all_26_183) & $i(all_26_184) &
% 234.35/45.46  |              $i(all_26_209) & $i(all_26_218) & $i(all_26_249)) | ( ~
% 234.35/45.46  |              (all_26_185 = all_26_186) & h2(all_26_252) = all_26_186 & h2(e14)
% 234.35/45.46  |              = all_26_206 & h2(e12) = all_26_212 & op2(all_26_212, all_26_206)
% 234.35/45.46  |              = all_26_185 & op1(e12, e14) = all_26_252 & $i(all_26_185) &
% 234.35/45.46  |              $i(all_26_186) & $i(all_26_206) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_252)) | ( ~ (all_26_187 = all_26_188) & h2(all_26_255)
% 234.35/45.46  |              = all_26_188 & h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 234.35/45.46  |              op2(all_26_212, all_26_209) = all_26_187 & op1(e12, e13) =
% 234.35/45.46  |              all_26_255 & $i(all_26_187) & $i(all_26_188) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_212) & $i(all_26_255)) | ( ~ (all_26_189 = all_26_190)
% 234.35/45.46  |              & h2(all_26_258) = all_26_190 & h2(e12) = all_26_212 &
% 234.35/45.46  |              op2(all_26_212, all_26_212) = all_26_189 & op1(e12, e12) =
% 234.35/45.46  |              all_26_258 & $i(all_26_189) & $i(all_26_190) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_258)) | ( ~ (all_26_191 = all_26_192) & h2(all_26_261)
% 234.35/45.46  |              = all_26_192 & h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 234.35/45.46  |              op2(all_26_212, all_26_215) = all_26_191 & op1(e12, e11) =
% 234.35/45.46  |              all_26_261 & $i(all_26_191) & $i(all_26_192) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_261)) | ( ~ (all_26_193 = all_26_194)
% 234.35/45.46  |              & h2(all_26_264) = all_26_194 & h2(e12) = all_26_212 & h2(e10) =
% 234.35/45.46  |              all_26_218 & op2(all_26_212, all_26_218) = all_26_193 & op1(e12,
% 234.35/45.46  |                e10) = all_26_264 & $i(all_26_193) & $i(all_26_194) &
% 234.35/45.46  |              $i(all_26_212) & $i(all_26_218) & $i(all_26_264)) | ( ~
% 234.35/45.46  |              (all_26_195 = all_26_196) & h2(all_26_267) = all_26_196 & h2(e14)
% 234.35/45.46  |              = all_26_206 & h2(e11) = all_26_215 & op2(all_26_215, all_26_206)
% 234.35/45.46  |              = all_26_195 & op1(e11, e14) = all_26_267 & $i(all_26_195) &
% 234.35/45.46  |              $i(all_26_196) & $i(all_26_206) & $i(all_26_215) &
% 234.35/45.46  |              $i(all_26_267)) | ( ~ (all_26_197 = all_26_198) & h2(all_26_270)
% 234.35/45.46  |              = all_26_198 & h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 234.35/45.46  |              op2(all_26_215, all_26_209) = all_26_197 & op1(e11, e13) =
% 234.35/45.46  |              all_26_270 & $i(all_26_197) & $i(all_26_198) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_270)) | ( ~ (all_26_199 = all_26_200)
% 234.35/45.46  |              & h2(all_26_273) = all_26_200 & h2(e12) = all_26_212 & h2(e11) =
% 234.35/45.46  |              all_26_215 & op2(all_26_215, all_26_212) = all_26_199 & op1(e11,
% 234.35/45.46  |                e12) = all_26_273 & $i(all_26_199) & $i(all_26_200) &
% 234.35/45.46  |              $i(all_26_212) & $i(all_26_215) & $i(all_26_273)) | ( ~
% 234.35/45.46  |              (all_26_201 = all_26_202) & h2(all_26_276) = all_26_202 & h2(e11)
% 234.35/45.46  |              = all_26_215 & op2(all_26_215, all_26_215) = all_26_201 &
% 234.35/45.46  |              op1(e11, e11) = all_26_276 & $i(all_26_201) & $i(all_26_202) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_276)) | ( ~ (all_26_206 = e24) &  ~
% 234.35/45.46  |              (all_26_209 = e24) &  ~ (all_26_212 = e24) &  ~ (all_26_215 =
% 234.35/45.46  |                e24) &  ~ (all_26_218 = e24) & h2(e14) = all_26_206 & h2(e13) =
% 234.35/45.46  |              all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 234.35/45.46  |              h2(e10) = all_26_218 & $i(all_26_206) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_212) & $i(all_26_215) & $i(all_26_218)) | ( ~
% 234.35/45.46  |              (all_26_206 = e23) &  ~ (all_26_209 = e23) &  ~ (all_26_212 =
% 234.35/45.46  |                e23) &  ~ (all_26_215 = e23) &  ~ (all_26_218 = e23) & h2(e14)
% 234.35/45.46  |              = all_26_206 & h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 234.35/45.46  |              h2(e11) = all_26_215 & h2(e10) = all_26_218 & $i(all_26_206) &
% 234.35/45.46  |              $i(all_26_209) & $i(all_26_212) & $i(all_26_215) &
% 234.35/45.46  |              $i(all_26_218)) | ( ~ (all_26_206 = e22) &  ~ (all_26_209 = e22)
% 234.35/45.46  |              &  ~ (all_26_212 = e22) &  ~ (all_26_215 = e22) &  ~ (all_26_218
% 234.35/45.46  |                = e22) & h2(e14) = all_26_206 & h2(e13) = all_26_209 & h2(e12)
% 234.35/45.46  |              = all_26_212 & h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 234.35/45.46  |              $i(all_26_206) & $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 234.35/45.46  |              & $i(all_26_218)) | ( ~ (all_26_206 = e21) &  ~ (all_26_209 =
% 234.35/45.46  |                e21) &  ~ (all_26_212 = e21) &  ~ (all_26_215 = e21) &  ~
% 234.35/45.46  |              (all_26_218 = e21) & h2(e14) = all_26_206 & h2(e13) = all_26_209
% 234.35/45.46  |              & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10) =
% 234.35/45.46  |              all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.35/45.46  |              $i(all_26_215) & $i(all_26_218)) | ( ~ (all_26_206 = e20) &  ~
% 234.35/45.46  |              (all_26_209 = e20) &  ~ (all_26_212 = e20) &  ~ (all_26_215 =
% 234.35/45.46  |                e20) &  ~ (all_26_218 = e20) & h2(e14) = all_26_206 & h2(e13) =
% 234.35/45.46  |              all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 234.35/45.46  |              h2(e10) = all_26_218 & $i(all_26_206) & $i(all_26_209) &
% 234.35/45.46  |              $i(all_26_212) & $i(all_26_215) & $i(all_26_218)) | (h2(e10) =
% 234.35/45.46  |              all_26_218 & $i(all_26_218) & (( ~ (all_26_203 = all_26_204) &
% 234.35/45.46  |                  h2(all_26_279) = all_26_204 & h2(e11) = all_26_215 &
% 234.35/45.46  |                  op2(all_26_215, all_26_218) = all_26_203 & op1(e11, e10) =
% 234.35/45.46  |                  all_26_279 & $i(all_26_203) & $i(all_26_204) & $i(all_26_215)
% 234.35/45.46  |                  & $i(all_26_279)) | ( ~ (all_26_205 = all_26_207) &
% 234.35/45.46  |                  h2(all_26_283) = all_26_207 & h2(e14) = all_26_206 &
% 234.35/45.46  |                  op2(all_26_218, all_26_206) = all_26_205 & op1(e10, e14) =
% 234.35/45.46  |                  all_26_283 & $i(all_26_205) & $i(all_26_206) & $i(all_26_207)
% 234.35/45.46  |                  & $i(all_26_283)) | ( ~ (all_26_208 = all_26_210) &
% 234.35/45.46  |                  h2(all_26_287) = all_26_210 & h2(e13) = all_26_209 &
% 234.35/45.46  |                  op2(all_26_218, all_26_209) = all_26_208 & op1(e10, e13) =
% 234.35/45.46  |                  all_26_287 & $i(all_26_208) & $i(all_26_209) & $i(all_26_210)
% 234.35/45.46  |                  & $i(all_26_287)) | ( ~ (all_26_211 = all_26_213) &
% 234.35/45.46  |                  h2(all_26_291) = all_26_213 & h2(e12) = all_26_212 &
% 234.35/45.46  |                  op2(all_26_218, all_26_212) = all_26_211 & op1(e10, e12) =
% 234.35/45.46  |                  all_26_291 & $i(all_26_211) & $i(all_26_212) & $i(all_26_213)
% 234.35/45.46  |                  & $i(all_26_291)) | ( ~ (all_26_214 = all_26_216) &
% 234.35/45.46  |                  h2(all_26_295) = all_26_216 & h2(e11) = all_26_215 &
% 234.35/45.46  |                  op2(all_26_218, all_26_215) = all_26_214 & op1(e10, e11) =
% 234.35/45.46  |                  all_26_295 & $i(all_26_214) & $i(all_26_215) & $i(all_26_216)
% 234.35/45.46  |                  & $i(all_26_295)) | ( ~ (all_26_217 = all_26_219) &
% 234.35/45.46  |                  h2(all_26_299) = all_26_219 & op2(all_26_218, all_26_218) =
% 234.35/45.46  |                  all_26_217 & op1(e10, e10) = all_26_299 & $i(all_26_217) &
% 234.35/45.46  |                  $i(all_26_219) & $i(all_26_299))))) & (( ~ (all_26_220 =
% 234.35/45.46  |                all_26_221) & h1(all_26_222) = all_26_221 & h1(e14) =
% 234.35/45.46  |              all_26_281 & op2(all_26_281, all_26_281) = all_26_220 & op1(e14,
% 234.35/45.46  |                e14) = all_26_222 & $i(all_26_220) & $i(all_26_221) &
% 234.35/45.46  |              $i(all_26_222) & $i(all_26_281)) | ( ~ (all_26_223 = all_26_224)
% 234.35/45.46  |              & h1(all_26_225) = all_26_224 & h1(e14) = all_26_281 & h1(e13) =
% 234.35/45.46  |              all_26_285 & op2(all_26_281, all_26_285) = all_26_223 & op1(e14,
% 234.35/45.46  |                e13) = all_26_225 & $i(all_26_223) & $i(all_26_224) &
% 234.35/45.46  |              $i(all_26_225) & $i(all_26_281) & $i(all_26_285)) | ( ~
% 234.35/45.46  |              (all_26_226 = all_26_227) & h1(all_26_228) = all_26_227 & h1(e14)
% 234.35/45.46  |              = all_26_281 & h1(e12) = all_26_289 & op2(all_26_281, all_26_289)
% 234.35/45.46  |              = all_26_226 & op1(e14, e12) = all_26_228 & $i(all_26_226) &
% 234.35/45.46  |              $i(all_26_227) & $i(all_26_228) & $i(all_26_281) &
% 234.35/45.46  |              $i(all_26_289)) | ( ~ (all_26_229 = all_26_230) & h1(all_26_231)
% 234.35/45.46  |              = all_26_230 & h1(e14) = all_26_281 & h1(e11) = all_26_293 &
% 234.35/45.46  |              op2(all_26_281, all_26_293) = all_26_229 & op1(e14, e11) =
% 234.35/45.46  |              all_26_231 & $i(all_26_229) & $i(all_26_230) & $i(all_26_231) &
% 234.35/45.46  |              $i(all_26_281) & $i(all_26_293)) | ( ~ (all_26_232 = all_26_233)
% 234.35/45.46  |              & h1(all_26_234) = all_26_233 & h1(e14) = all_26_281 & h1(e10) =
% 234.35/45.46  |              all_26_297 & op2(all_26_281, all_26_297) = all_26_232 & op1(e14,
% 234.35/45.46  |                e10) = all_26_234 & $i(all_26_232) & $i(all_26_233) &
% 234.35/45.46  |              $i(all_26_234) & $i(all_26_281) & $i(all_26_297)) | ( ~
% 234.35/45.46  |              (all_26_235 = all_26_236) & h1(all_26_237) = all_26_236 & h1(e14)
% 234.35/45.46  |              = all_26_281 & h1(e13) = all_26_285 & op2(all_26_285, all_26_281)
% 234.35/45.46  |              = all_26_235 & op1(e13, e14) = all_26_237 & $i(all_26_235) &
% 234.35/45.46  |              $i(all_26_236) & $i(all_26_237) & $i(all_26_281) &
% 234.35/45.46  |              $i(all_26_285)) | ( ~ (all_26_238 = all_26_239) & h1(all_26_240)
% 234.35/45.46  |              = all_26_239 & h1(e13) = all_26_285 & op2(all_26_285, all_26_285)
% 234.35/45.46  |              = all_26_238 & op1(e13, e13) = all_26_240 & $i(all_26_238) &
% 234.35/45.46  |              $i(all_26_239) & $i(all_26_240) & $i(all_26_285)) | ( ~
% 234.35/45.46  |              (all_26_241 = all_26_242) & h1(all_26_243) = all_26_242 & h1(e13)
% 234.35/45.46  |              = all_26_285 & h1(e12) = all_26_289 & op2(all_26_285, all_26_289)
% 234.35/45.46  |              = all_26_241 & op1(e13, e12) = all_26_243 & $i(all_26_241) &
% 234.35/45.46  |              $i(all_26_242) & $i(all_26_243) & $i(all_26_285) &
% 234.35/45.46  |              $i(all_26_289)) | ( ~ (all_26_244 = all_26_245) & h1(all_26_246)
% 234.35/45.46  |              = all_26_245 & h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 234.35/45.46  |              op2(all_26_285, all_26_293) = all_26_244 & op1(e13, e11) =
% 234.35/45.46  |              all_26_246 & $i(all_26_244) & $i(all_26_245) & $i(all_26_246) &
% 234.35/45.46  |              $i(all_26_285) & $i(all_26_293)) | ( ~ (all_26_247 = all_26_248)
% 234.35/45.46  |              & h1(all_26_249) = all_26_248 & h1(e13) = all_26_285 & h1(e10) =
% 234.35/45.46  |              all_26_297 & op2(all_26_285, all_26_297) = all_26_247 & op1(e13,
% 234.35/45.46  |                e10) = all_26_249 & $i(all_26_247) & $i(all_26_248) &
% 234.35/45.46  |              $i(all_26_249) & $i(all_26_285) & $i(all_26_297)) | ( ~
% 234.35/45.46  |              (all_26_250 = all_26_251) & h1(all_26_252) = all_26_251 & h1(e14)
% 234.35/45.46  |              = all_26_281 & h1(e12) = all_26_289 & op2(all_26_289, all_26_281)
% 234.35/45.46  |              = all_26_250 & op1(e12, e14) = all_26_252 & $i(all_26_250) &
% 234.35/45.47  |              $i(all_26_251) & $i(all_26_252) & $i(all_26_281) &
% 234.35/45.47  |              $i(all_26_289)) | ( ~ (all_26_253 = all_26_254) & h1(all_26_255)
% 234.35/45.47  |              = all_26_254 & h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 234.35/45.47  |              op2(all_26_289, all_26_285) = all_26_253 & op1(e12, e13) =
% 234.35/45.47  |              all_26_255 & $i(all_26_253) & $i(all_26_254) & $i(all_26_255) &
% 234.35/45.47  |              $i(all_26_285) & $i(all_26_289)) | ( ~ (all_26_256 = all_26_257)
% 234.35/45.47  |              & h1(all_26_258) = all_26_257 & h1(e12) = all_26_289 &
% 234.35/45.47  |              op2(all_26_289, all_26_289) = all_26_256 & op1(e12, e12) =
% 234.35/45.47  |              all_26_258 & $i(all_26_256) & $i(all_26_257) & $i(all_26_258) &
% 234.35/45.47  |              $i(all_26_289)) | ( ~ (all_26_259 = all_26_260) & h1(all_26_261)
% 234.35/45.47  |              = all_26_260 & h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 234.35/45.47  |              op2(all_26_289, all_26_293) = all_26_259 & op1(e12, e11) =
% 234.35/45.47  |              all_26_261 & $i(all_26_259) & $i(all_26_260) & $i(all_26_261) &
% 234.35/45.47  |              $i(all_26_289) & $i(all_26_293)) | ( ~ (all_26_262 = all_26_263)
% 234.35/45.47  |              & h1(all_26_264) = all_26_263 & h1(e12) = all_26_289 & h1(e10) =
% 234.35/45.47  |              all_26_297 & op2(all_26_289, all_26_297) = all_26_262 & op1(e12,
% 234.35/45.47  |                e10) = all_26_264 & $i(all_26_262) & $i(all_26_263) &
% 234.35/45.47  |              $i(all_26_264) & $i(all_26_289) & $i(all_26_297)) | ( ~
% 234.35/45.47  |              (all_26_265 = all_26_266) & h1(all_26_267) = all_26_266 & h1(e14)
% 234.35/45.47  |              = all_26_281 & h1(e11) = all_26_293 & op2(all_26_293, all_26_281)
% 234.35/45.47  |              = all_26_265 & op1(e11, e14) = all_26_267 & $i(all_26_265) &
% 234.35/45.47  |              $i(all_26_266) & $i(all_26_267) & $i(all_26_281) &
% 234.35/45.47  |              $i(all_26_293)) | ( ~ (all_26_268 = all_26_269) & h1(all_26_270)
% 234.35/45.47  |              = all_26_269 & h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 234.35/45.47  |              op2(all_26_293, all_26_285) = all_26_268 & op1(e11, e13) =
% 234.35/45.47  |              all_26_270 & $i(all_26_268) & $i(all_26_269) & $i(all_26_270) &
% 234.35/45.47  |              $i(all_26_285) & $i(all_26_293)) | ( ~ (all_26_271 = all_26_272)
% 234.35/45.47  |              & h1(all_26_273) = all_26_272 & h1(e12) = all_26_289 & h1(e11) =
% 234.35/45.47  |              all_26_293 & op2(all_26_293, all_26_289) = all_26_271 & op1(e11,
% 234.35/45.47  |                e12) = all_26_273 & $i(all_26_271) & $i(all_26_272) &
% 234.35/45.47  |              $i(all_26_273) & $i(all_26_289) & $i(all_26_293)) | ( ~
% 234.35/45.47  |              (all_26_274 = all_26_275) & h1(all_26_276) = all_26_275 & h1(e11)
% 234.35/45.47  |              = all_26_293 & op2(all_26_293, all_26_293) = all_26_274 &
% 234.35/45.47  |              op1(e11, e11) = all_26_276 & $i(all_26_274) & $i(all_26_275) &
% 234.35/45.47  |              $i(all_26_276) & $i(all_26_293)) | ( ~ (all_26_281 = e24) &  ~
% 234.35/45.47  |              (all_26_285 = e24) &  ~ (all_26_289 = e24) &  ~ (all_26_293 =
% 234.35/45.47  |                e24) &  ~ (all_26_297 = e24) & h1(e14) = all_26_281 & h1(e13) =
% 234.35/45.47  |              all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 234.35/45.47  |              h1(e10) = all_26_297 & $i(all_26_281) & $i(all_26_285) &
% 234.35/45.47  |              $i(all_26_289) & $i(all_26_293) & $i(all_26_297)) | ( ~
% 234.35/45.47  |              (all_26_281 = e23) &  ~ (all_26_285 = e23) &  ~ (all_26_289 =
% 234.35/45.47  |                e23) &  ~ (all_26_293 = e23) &  ~ (all_26_297 = e23) & h1(e14)
% 234.35/45.47  |              = all_26_281 & h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 234.35/45.47  |              h1(e11) = all_26_293 & h1(e10) = all_26_297 & $i(all_26_281) &
% 234.35/45.47  |              $i(all_26_285) & $i(all_26_289) & $i(all_26_293) &
% 234.35/45.47  |              $i(all_26_297)) | ( ~ (all_26_281 = e22) &  ~ (all_26_285 = e22)
% 234.35/45.47  |              &  ~ (all_26_289 = e22) &  ~ (all_26_293 = e22) &  ~ (all_26_297
% 234.35/45.47  |                = e22) & h1(e14) = all_26_281 & h1(e13) = all_26_285 & h1(e12)
% 234.35/45.47  |              = all_26_289 & h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 234.35/45.47  |              $i(all_26_281) & $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 234.35/45.47  |              & $i(all_26_297)) | ( ~ (all_26_281 = e21) &  ~ (all_26_285 =
% 234.35/45.47  |                e21) &  ~ (all_26_289 = e21) &  ~ (all_26_293 = e21) &  ~
% 234.35/45.47  |              (all_26_297 = e21) & h1(e14) = all_26_281 & h1(e13) = all_26_285
% 234.35/45.47  |              & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10) =
% 234.35/45.47  |              all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.35/45.47  |              $i(all_26_293) & $i(all_26_297)) | ( ~ (all_26_281 = e20) &  ~
% 234.35/45.47  |              (all_26_285 = e20) &  ~ (all_26_289 = e20) &  ~ (all_26_293 =
% 234.35/45.47  |                e20) &  ~ (all_26_297 = e20) & h1(e14) = all_26_281 & h1(e13) =
% 234.35/45.47  |              all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 234.35/45.47  |              h1(e10) = all_26_297 & $i(all_26_281) & $i(all_26_285) &
% 234.35/45.47  |              $i(all_26_289) & $i(all_26_293) & $i(all_26_297)) | (h1(e10) =
% 234.35/45.47  |              all_26_297 & $i(all_26_297) & (( ~ (all_26_277 = all_26_278) &
% 234.35/45.47  |                  h1(all_26_279) = all_26_278 & h1(e11) = all_26_293 &
% 234.35/45.47  |                  op2(all_26_293, all_26_297) = all_26_277 & op1(e11, e10) =
% 234.35/45.47  |                  all_26_279 & $i(all_26_277) & $i(all_26_278) & $i(all_26_279)
% 234.35/45.47  |                  & $i(all_26_293)) | ( ~ (all_26_280 = all_26_282) &
% 234.35/45.47  |                  h1(all_26_283) = all_26_282 & h1(e14) = all_26_281 &
% 234.35/45.47  |                  op2(all_26_297, all_26_281) = all_26_280 & op1(e10, e14) =
% 234.35/45.47  |                  all_26_283 & $i(all_26_280) & $i(all_26_281) & $i(all_26_282)
% 234.35/45.47  |                  & $i(all_26_283)) | ( ~ (all_26_284 = all_26_286) &
% 234.35/45.47  |                  h1(all_26_287) = all_26_286 & h1(e13) = all_26_285 &
% 234.35/45.47  |                  op2(all_26_297, all_26_285) = all_26_284 & op1(e10, e13) =
% 234.35/45.47  |                  all_26_287 & $i(all_26_284) & $i(all_26_285) & $i(all_26_286)
% 234.35/45.47  |                  & $i(all_26_287)) | ( ~ (all_26_288 = all_26_290) &
% 234.35/45.47  |                  h1(all_26_291) = all_26_290 & h1(e12) = all_26_289 &
% 234.35/45.47  |                  op2(all_26_297, all_26_289) = all_26_288 & op1(e10, e12) =
% 234.35/45.47  |                  all_26_291 & $i(all_26_288) & $i(all_26_289) & $i(all_26_290)
% 234.35/45.47  |                  & $i(all_26_291)) | ( ~ (all_26_292 = all_26_294) &
% 234.35/45.47  |                  h1(all_26_295) = all_26_294 & h1(e11) = all_26_293 &
% 234.35/45.47  |                  op2(all_26_297, all_26_293) = all_26_292 & op1(e10, e11) =
% 234.35/45.47  |                  all_26_295 & $i(all_26_292) & $i(all_26_293) & $i(all_26_294)
% 234.35/45.47  |                  & $i(all_26_295)) | ( ~ (all_26_296 = all_26_298) &
% 234.35/45.47  |                  h1(all_26_299) = all_26_298 & op2(all_26_297, all_26_297) =
% 234.35/45.47  |                  all_26_296 & op1(e10, e10) = all_26_299 & $i(all_26_296) &
% 234.35/45.47  |                  $i(all_26_298) & $i(all_26_299)))))
% 234.35/45.47  | 
% 234.35/45.47  | ALPHA: (524) implies:
% 234.46/45.47  |   (525)  ( ~ (all_26_220 = all_26_221) & h1(all_26_222) = all_26_221 & h1(e14)
% 234.46/45.47  |            = all_26_281 & op2(all_26_281, all_26_281) = all_26_220 & op1(e14,
% 234.46/45.47  |              e14) = all_26_222 & $i(all_26_220) & $i(all_26_221) &
% 234.46/45.47  |            $i(all_26_222) & $i(all_26_281)) | ( ~ (all_26_223 = all_26_224) &
% 234.46/45.47  |            h1(all_26_225) = all_26_224 & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & op2(all_26_281, all_26_285) = all_26_223 & op1(e14,
% 234.46/45.47  |              e13) = all_26_225 & $i(all_26_223) & $i(all_26_224) &
% 234.46/45.47  |            $i(all_26_225) & $i(all_26_281) & $i(all_26_285)) | ( ~ (all_26_226
% 234.46/45.47  |              = all_26_227) & h1(all_26_228) = all_26_227 & h1(e14) =
% 234.46/45.47  |            all_26_281 & h1(e12) = all_26_289 & op2(all_26_281, all_26_289) =
% 234.46/45.47  |            all_26_226 & op1(e14, e12) = all_26_228 & $i(all_26_226) &
% 234.46/45.47  |            $i(all_26_227) & $i(all_26_228) & $i(all_26_281) & $i(all_26_289))
% 234.46/45.47  |          | ( ~ (all_26_229 = all_26_230) & h1(all_26_231) = all_26_230 &
% 234.46/45.47  |            h1(e14) = all_26_281 & h1(e11) = all_26_293 & op2(all_26_281,
% 234.46/45.47  |              all_26_293) = all_26_229 & op1(e14, e11) = all_26_231 &
% 234.46/45.47  |            $i(all_26_229) & $i(all_26_230) & $i(all_26_231) & $i(all_26_281) &
% 234.46/45.47  |            $i(all_26_293)) | ( ~ (all_26_232 = all_26_233) & h1(all_26_234) =
% 234.46/45.47  |            all_26_233 & h1(e14) = all_26_281 & h1(e10) = all_26_297 &
% 234.46/45.47  |            op2(all_26_281, all_26_297) = all_26_232 & op1(e14, e10) =
% 234.46/45.47  |            all_26_234 & $i(all_26_232) & $i(all_26_233) & $i(all_26_234) &
% 234.46/45.47  |            $i(all_26_281) & $i(all_26_297)) | ( ~ (all_26_235 = all_26_236) &
% 234.46/45.47  |            h1(all_26_237) = all_26_236 & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & op2(all_26_285, all_26_281) = all_26_235 & op1(e13,
% 234.46/45.47  |              e14) = all_26_237 & $i(all_26_235) & $i(all_26_236) &
% 234.46/45.47  |            $i(all_26_237) & $i(all_26_281) & $i(all_26_285)) | ( ~ (all_26_238
% 234.46/45.47  |              = all_26_239) & h1(all_26_240) = all_26_239 & h1(e13) =
% 234.46/45.47  |            all_26_285 & op2(all_26_285, all_26_285) = all_26_238 & op1(e13,
% 234.46/45.47  |              e13) = all_26_240 & $i(all_26_238) & $i(all_26_239) &
% 234.46/45.47  |            $i(all_26_240) & $i(all_26_285)) | ( ~ (all_26_241 = all_26_242) &
% 234.46/45.47  |            h1(all_26_243) = all_26_242 & h1(e13) = all_26_285 & h1(e12) =
% 234.46/45.47  |            all_26_289 & op2(all_26_285, all_26_289) = all_26_241 & op1(e13,
% 234.46/45.47  |              e12) = all_26_243 & $i(all_26_241) & $i(all_26_242) &
% 234.46/45.47  |            $i(all_26_243) & $i(all_26_285) & $i(all_26_289)) | ( ~ (all_26_244
% 234.46/45.47  |              = all_26_245) & h1(all_26_246) = all_26_245 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e11) = all_26_293 & op2(all_26_285, all_26_293) =
% 234.46/45.47  |            all_26_244 & op1(e13, e11) = all_26_246 & $i(all_26_244) &
% 234.46/45.47  |            $i(all_26_245) & $i(all_26_246) & $i(all_26_285) & $i(all_26_293))
% 234.46/45.47  |          | ( ~ (all_26_247 = all_26_248) & h1(all_26_249) = all_26_248 &
% 234.46/45.47  |            h1(e13) = all_26_285 & h1(e10) = all_26_297 & op2(all_26_285,
% 234.46/45.47  |              all_26_297) = all_26_247 & op1(e13, e10) = all_26_249 &
% 234.46/45.47  |            $i(all_26_247) & $i(all_26_248) & $i(all_26_249) & $i(all_26_285) &
% 234.46/45.47  |            $i(all_26_297)) | ( ~ (all_26_250 = all_26_251) & h1(all_26_252) =
% 234.46/45.47  |            all_26_251 & h1(e14) = all_26_281 & h1(e12) = all_26_289 &
% 234.46/45.47  |            op2(all_26_289, all_26_281) = all_26_250 & op1(e12, e14) =
% 234.46/45.47  |            all_26_252 & $i(all_26_250) & $i(all_26_251) & $i(all_26_252) &
% 234.46/45.47  |            $i(all_26_281) & $i(all_26_289)) | ( ~ (all_26_253 = all_26_254) &
% 234.46/45.47  |            h1(all_26_255) = all_26_254 & h1(e13) = all_26_285 & h1(e12) =
% 234.46/45.47  |            all_26_289 & op2(all_26_289, all_26_285) = all_26_253 & op1(e12,
% 234.46/45.47  |              e13) = all_26_255 & $i(all_26_253) & $i(all_26_254) &
% 234.46/45.47  |            $i(all_26_255) & $i(all_26_285) & $i(all_26_289)) | ( ~ (all_26_256
% 234.46/45.47  |              = all_26_257) & h1(all_26_258) = all_26_257 & h1(e12) =
% 234.46/45.47  |            all_26_289 & op2(all_26_289, all_26_289) = all_26_256 & op1(e12,
% 234.46/45.47  |              e12) = all_26_258 & $i(all_26_256) & $i(all_26_257) &
% 234.46/45.47  |            $i(all_26_258) & $i(all_26_289)) | ( ~ (all_26_259 = all_26_260) &
% 234.46/45.47  |            h1(all_26_261) = all_26_260 & h1(e12) = all_26_289 & h1(e11) =
% 234.46/45.47  |            all_26_293 & op2(all_26_289, all_26_293) = all_26_259 & op1(e12,
% 234.46/45.47  |              e11) = all_26_261 & $i(all_26_259) & $i(all_26_260) &
% 234.46/45.47  |            $i(all_26_261) & $i(all_26_289) & $i(all_26_293)) | ( ~ (all_26_262
% 234.46/45.47  |              = all_26_263) & h1(all_26_264) = all_26_263 & h1(e12) =
% 234.46/45.47  |            all_26_289 & h1(e10) = all_26_297 & op2(all_26_289, all_26_297) =
% 234.46/45.47  |            all_26_262 & op1(e12, e10) = all_26_264 & $i(all_26_262) &
% 234.46/45.47  |            $i(all_26_263) & $i(all_26_264) & $i(all_26_289) & $i(all_26_297))
% 234.46/45.47  |          | ( ~ (all_26_265 = all_26_266) & h1(all_26_267) = all_26_266 &
% 234.46/45.47  |            h1(e14) = all_26_281 & h1(e11) = all_26_293 & op2(all_26_293,
% 234.46/45.47  |              all_26_281) = all_26_265 & op1(e11, e14) = all_26_267 &
% 234.46/45.47  |            $i(all_26_265) & $i(all_26_266) & $i(all_26_267) & $i(all_26_281) &
% 234.46/45.47  |            $i(all_26_293)) | ( ~ (all_26_268 = all_26_269) & h1(all_26_270) =
% 234.46/45.47  |            all_26_269 & h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 234.46/45.47  |            op2(all_26_293, all_26_285) = all_26_268 & op1(e11, e13) =
% 234.46/45.47  |            all_26_270 & $i(all_26_268) & $i(all_26_269) & $i(all_26_270) &
% 234.46/45.47  |            $i(all_26_285) & $i(all_26_293)) | ( ~ (all_26_271 = all_26_272) &
% 234.46/45.47  |            h1(all_26_273) = all_26_272 & h1(e12) = all_26_289 & h1(e11) =
% 234.46/45.47  |            all_26_293 & op2(all_26_293, all_26_289) = all_26_271 & op1(e11,
% 234.46/45.47  |              e12) = all_26_273 & $i(all_26_271) & $i(all_26_272) &
% 234.46/45.47  |            $i(all_26_273) & $i(all_26_289) & $i(all_26_293)) | ( ~ (all_26_274
% 234.46/45.47  |              = all_26_275) & h1(all_26_276) = all_26_275 & h1(e11) =
% 234.46/45.47  |            all_26_293 & op2(all_26_293, all_26_293) = all_26_274 & op1(e11,
% 234.46/45.47  |              e11) = all_26_276 & $i(all_26_274) & $i(all_26_275) &
% 234.46/45.47  |            $i(all_26_276) & $i(all_26_293)) | ( ~ (all_26_281 = e24) &  ~
% 234.46/45.47  |            (all_26_285 = e24) &  ~ (all_26_289 = e24) &  ~ (all_26_293 = e24)
% 234.46/45.47  |            &  ~ (all_26_297 = e24) & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10)
% 234.46/45.47  |            = all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.46/45.47  |            $i(all_26_293) & $i(all_26_297)) | ( ~ (all_26_281 = e23) &  ~
% 234.46/45.47  |            (all_26_285 = e23) &  ~ (all_26_289 = e23) &  ~ (all_26_293 = e23)
% 234.46/45.47  |            &  ~ (all_26_297 = e23) & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10)
% 234.46/45.47  |            = all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.46/45.47  |            $i(all_26_293) & $i(all_26_297)) | ( ~ (all_26_281 = e22) &  ~
% 234.46/45.47  |            (all_26_285 = e22) &  ~ (all_26_289 = e22) &  ~ (all_26_293 = e22)
% 234.46/45.47  |            &  ~ (all_26_297 = e22) & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10)
% 234.46/45.47  |            = all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.46/45.47  |            $i(all_26_293) & $i(all_26_297)) | ( ~ (all_26_281 = e21) &  ~
% 234.46/45.47  |            (all_26_285 = e21) &  ~ (all_26_289 = e21) &  ~ (all_26_293 = e21)
% 234.46/45.47  |            &  ~ (all_26_297 = e21) & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10)
% 234.46/45.47  |            = all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.46/45.47  |            $i(all_26_293) & $i(all_26_297)) | ( ~ (all_26_281 = e20) &  ~
% 234.46/45.47  |            (all_26_285 = e20) &  ~ (all_26_289 = e20) &  ~ (all_26_293 = e20)
% 234.46/45.47  |            &  ~ (all_26_297 = e20) & h1(e14) = all_26_281 & h1(e13) =
% 234.46/45.47  |            all_26_285 & h1(e12) = all_26_289 & h1(e11) = all_26_293 & h1(e10)
% 234.46/45.47  |            = all_26_297 & $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 234.46/45.47  |            $i(all_26_293) & $i(all_26_297)) | (h1(e10) = all_26_297 &
% 234.46/45.47  |            $i(all_26_297) & (( ~ (all_26_277 = all_26_278) & h1(all_26_279) =
% 234.46/45.47  |                all_26_278 & h1(e11) = all_26_293 & op2(all_26_293, all_26_297)
% 234.46/45.47  |                = all_26_277 & op1(e11, e10) = all_26_279 & $i(all_26_277) &
% 234.46/45.47  |                $i(all_26_278) & $i(all_26_279) & $i(all_26_293)) | ( ~
% 234.46/45.47  |                (all_26_280 = all_26_282) & h1(all_26_283) = all_26_282 &
% 234.46/45.47  |                h1(e14) = all_26_281 & op2(all_26_297, all_26_281) = all_26_280
% 234.46/45.47  |                & op1(e10, e14) = all_26_283 & $i(all_26_280) & $i(all_26_281)
% 234.46/45.47  |                & $i(all_26_282) & $i(all_26_283)) | ( ~ (all_26_284 =
% 234.46/45.47  |                  all_26_286) & h1(all_26_287) = all_26_286 & h1(e13) =
% 234.46/45.47  |                all_26_285 & op2(all_26_297, all_26_285) = all_26_284 &
% 234.46/45.47  |                op1(e10, e13) = all_26_287 & $i(all_26_284) & $i(all_26_285) &
% 234.46/45.47  |                $i(all_26_286) & $i(all_26_287)) | ( ~ (all_26_288 =
% 234.46/45.47  |                  all_26_290) & h1(all_26_291) = all_26_290 & h1(e12) =
% 234.46/45.47  |                all_26_289 & op2(all_26_297, all_26_289) = all_26_288 &
% 234.46/45.47  |                op1(e10, e12) = all_26_291 & $i(all_26_288) & $i(all_26_289) &
% 234.46/45.47  |                $i(all_26_290) & $i(all_26_291)) | ( ~ (all_26_292 =
% 234.46/45.47  |                  all_26_294) & h1(all_26_295) = all_26_294 & h1(e11) =
% 234.46/45.47  |                all_26_293 & op2(all_26_297, all_26_293) = all_26_292 &
% 234.46/45.47  |                op1(e10, e11) = all_26_295 & $i(all_26_292) & $i(all_26_293) &
% 234.46/45.47  |                $i(all_26_294) & $i(all_26_295)) | ( ~ (all_26_296 =
% 234.46/45.47  |                  all_26_298) & h1(all_26_299) = all_26_298 & op2(all_26_297,
% 234.46/45.47  |                  all_26_297) = all_26_296 & op1(e10, e10) = all_26_299 &
% 234.46/45.47  |                $i(all_26_296) & $i(all_26_298) & $i(all_26_299))))
% 234.46/45.48  |   (526)  ( ~ (all_26_165 = all_26_166) & h2(all_26_222) = all_26_166 & h2(e14)
% 234.46/45.48  |            = all_26_206 & op2(all_26_206, all_26_206) = all_26_165 & op1(e14,
% 234.46/45.48  |              e14) = all_26_222 & $i(all_26_165) & $i(all_26_166) &
% 234.46/45.48  |            $i(all_26_206) & $i(all_26_222)) | ( ~ (all_26_167 = all_26_168) &
% 234.46/45.48  |            h2(all_26_225) = all_26_168 & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & op2(all_26_206, all_26_209) = all_26_167 & op1(e14,
% 234.46/45.48  |              e13) = all_26_225 & $i(all_26_167) & $i(all_26_168) &
% 234.46/45.48  |            $i(all_26_206) & $i(all_26_209) & $i(all_26_225)) | ( ~ (all_26_169
% 234.46/45.48  |              = all_26_170) & h2(all_26_228) = all_26_170 & h2(e14) =
% 234.46/45.48  |            all_26_206 & h2(e12) = all_26_212 & op2(all_26_206, all_26_212) =
% 234.46/45.48  |            all_26_169 & op1(e14, e12) = all_26_228 & $i(all_26_169) &
% 234.46/45.48  |            $i(all_26_170) & $i(all_26_206) & $i(all_26_212) & $i(all_26_228))
% 234.46/45.48  |          | ( ~ (all_26_171 = all_26_172) & h2(all_26_231) = all_26_172 &
% 234.46/45.48  |            h2(e14) = all_26_206 & h2(e11) = all_26_215 & op2(all_26_206,
% 234.46/45.48  |              all_26_215) = all_26_171 & op1(e14, e11) = all_26_231 &
% 234.46/45.48  |            $i(all_26_171) & $i(all_26_172) & $i(all_26_206) & $i(all_26_215) &
% 234.46/45.48  |            $i(all_26_231)) | ( ~ (all_26_173 = all_26_174) & h2(all_26_234) =
% 234.46/45.48  |            all_26_174 & h2(e14) = all_26_206 & h2(e10) = all_26_218 &
% 234.46/45.48  |            op2(all_26_206, all_26_218) = all_26_173 & op1(e14, e10) =
% 234.46/45.48  |            all_26_234 & $i(all_26_173) & $i(all_26_174) & $i(all_26_206) &
% 234.46/45.48  |            $i(all_26_218) & $i(all_26_234)) | ( ~ (all_26_175 = all_26_176) &
% 234.46/45.48  |            h2(all_26_237) = all_26_176 & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & op2(all_26_209, all_26_206) = all_26_175 & op1(e13,
% 234.46/45.48  |              e14) = all_26_237 & $i(all_26_175) & $i(all_26_176) &
% 234.46/45.48  |            $i(all_26_206) & $i(all_26_209) & $i(all_26_237)) | ( ~ (all_26_177
% 234.46/45.48  |              = all_26_178) & h2(all_26_240) = all_26_178 & h2(e13) =
% 234.46/45.48  |            all_26_209 & op2(all_26_209, all_26_209) = all_26_177 & op1(e13,
% 234.46/45.48  |              e13) = all_26_240 & $i(all_26_177) & $i(all_26_178) &
% 234.46/45.48  |            $i(all_26_209) & $i(all_26_240)) | ( ~ (all_26_179 = all_26_180) &
% 234.46/45.48  |            h2(all_26_243) = all_26_180 & h2(e13) = all_26_209 & h2(e12) =
% 234.46/45.48  |            all_26_212 & op2(all_26_209, all_26_212) = all_26_179 & op1(e13,
% 234.46/45.48  |              e12) = all_26_243 & $i(all_26_179) & $i(all_26_180) &
% 234.46/45.48  |            $i(all_26_209) & $i(all_26_212) & $i(all_26_243)) | ( ~ (all_26_181
% 234.46/45.48  |              = all_26_182) & h2(all_26_246) = all_26_182 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e11) = all_26_215 & op2(all_26_209, all_26_215) =
% 234.46/45.48  |            all_26_181 & op1(e13, e11) = all_26_246 & $i(all_26_181) &
% 234.46/45.48  |            $i(all_26_182) & $i(all_26_209) & $i(all_26_215) & $i(all_26_246))
% 234.46/45.48  |          | ( ~ (all_26_183 = all_26_184) & h2(all_26_249) = all_26_184 &
% 234.46/45.48  |            h2(e13) = all_26_209 & h2(e10) = all_26_218 & op2(all_26_209,
% 234.46/45.48  |              all_26_218) = all_26_183 & op1(e13, e10) = all_26_249 &
% 234.46/45.48  |            $i(all_26_183) & $i(all_26_184) & $i(all_26_209) & $i(all_26_218) &
% 234.46/45.48  |            $i(all_26_249)) | ( ~ (all_26_185 = all_26_186) & h2(all_26_252) =
% 234.46/45.48  |            all_26_186 & h2(e14) = all_26_206 & h2(e12) = all_26_212 &
% 234.46/45.48  |            op2(all_26_212, all_26_206) = all_26_185 & op1(e12, e14) =
% 234.46/45.48  |            all_26_252 & $i(all_26_185) & $i(all_26_186) & $i(all_26_206) &
% 234.46/45.48  |            $i(all_26_212) & $i(all_26_252)) | ( ~ (all_26_187 = all_26_188) &
% 234.46/45.48  |            h2(all_26_255) = all_26_188 & h2(e13) = all_26_209 & h2(e12) =
% 234.46/45.48  |            all_26_212 & op2(all_26_212, all_26_209) = all_26_187 & op1(e12,
% 234.46/45.48  |              e13) = all_26_255 & $i(all_26_187) & $i(all_26_188) &
% 234.46/45.48  |            $i(all_26_209) & $i(all_26_212) & $i(all_26_255)) | ( ~ (all_26_189
% 234.46/45.48  |              = all_26_190) & h2(all_26_258) = all_26_190 & h2(e12) =
% 234.46/45.48  |            all_26_212 & op2(all_26_212, all_26_212) = all_26_189 & op1(e12,
% 234.46/45.48  |              e12) = all_26_258 & $i(all_26_189) & $i(all_26_190) &
% 234.46/45.48  |            $i(all_26_212) & $i(all_26_258)) | ( ~ (all_26_191 = all_26_192) &
% 234.46/45.48  |            h2(all_26_261) = all_26_192 & h2(e12) = all_26_212 & h2(e11) =
% 234.46/45.48  |            all_26_215 & op2(all_26_212, all_26_215) = all_26_191 & op1(e12,
% 234.46/45.48  |              e11) = all_26_261 & $i(all_26_191) & $i(all_26_192) &
% 234.46/45.48  |            $i(all_26_212) & $i(all_26_215) & $i(all_26_261)) | ( ~ (all_26_193
% 234.46/45.48  |              = all_26_194) & h2(all_26_264) = all_26_194 & h2(e12) =
% 234.46/45.48  |            all_26_212 & h2(e10) = all_26_218 & op2(all_26_212, all_26_218) =
% 234.46/45.48  |            all_26_193 & op1(e12, e10) = all_26_264 & $i(all_26_193) &
% 234.46/45.48  |            $i(all_26_194) & $i(all_26_212) & $i(all_26_218) & $i(all_26_264))
% 234.46/45.48  |          | ( ~ (all_26_195 = all_26_196) & h2(all_26_267) = all_26_196 &
% 234.46/45.48  |            h2(e14) = all_26_206 & h2(e11) = all_26_215 & op2(all_26_215,
% 234.46/45.48  |              all_26_206) = all_26_195 & op1(e11, e14) = all_26_267 &
% 234.46/45.48  |            $i(all_26_195) & $i(all_26_196) & $i(all_26_206) & $i(all_26_215) &
% 234.46/45.48  |            $i(all_26_267)) | ( ~ (all_26_197 = all_26_198) & h2(all_26_270) =
% 234.46/45.48  |            all_26_198 & h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 234.46/45.48  |            op2(all_26_215, all_26_209) = all_26_197 & op1(e11, e13) =
% 234.46/45.48  |            all_26_270 & $i(all_26_197) & $i(all_26_198) & $i(all_26_209) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_270)) | ( ~ (all_26_199 = all_26_200) &
% 234.46/45.48  |            h2(all_26_273) = all_26_200 & h2(e12) = all_26_212 & h2(e11) =
% 234.46/45.48  |            all_26_215 & op2(all_26_215, all_26_212) = all_26_199 & op1(e11,
% 234.46/45.48  |              e12) = all_26_273 & $i(all_26_199) & $i(all_26_200) &
% 234.46/45.48  |            $i(all_26_212) & $i(all_26_215) & $i(all_26_273)) | ( ~ (all_26_201
% 234.46/45.48  |              = all_26_202) & h2(all_26_276) = all_26_202 & h2(e11) =
% 234.46/45.48  |            all_26_215 & op2(all_26_215, all_26_215) = all_26_201 & op1(e11,
% 234.46/45.48  |              e11) = all_26_276 & $i(all_26_201) & $i(all_26_202) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_276)) | ( ~ (all_26_206 = e24) &  ~
% 234.46/45.48  |            (all_26_209 = e24) &  ~ (all_26_212 = e24) &  ~ (all_26_215 = e24)
% 234.46/45.48  |            &  ~ (all_26_218 = e24) & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10)
% 234.46/45.48  |            = all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_218)) | ( ~ (all_26_206 = e23) &  ~
% 234.46/45.48  |            (all_26_209 = e23) &  ~ (all_26_212 = e23) &  ~ (all_26_215 = e23)
% 234.46/45.48  |            &  ~ (all_26_218 = e23) & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10)
% 234.46/45.48  |            = all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_218)) | ( ~ (all_26_206 = e22) &  ~
% 234.46/45.48  |            (all_26_209 = e22) &  ~ (all_26_212 = e22) &  ~ (all_26_215 = e22)
% 234.46/45.48  |            &  ~ (all_26_218 = e22) & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10)
% 234.46/45.48  |            = all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_218)) | ( ~ (all_26_206 = e21) &  ~
% 234.46/45.48  |            (all_26_209 = e21) &  ~ (all_26_212 = e21) &  ~ (all_26_215 = e21)
% 234.46/45.48  |            &  ~ (all_26_218 = e21) & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10)
% 234.46/45.48  |            = all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_218)) | ( ~ (all_26_206 = e20) &  ~
% 234.46/45.48  |            (all_26_209 = e20) &  ~ (all_26_212 = e20) &  ~ (all_26_215 = e20)
% 234.46/45.48  |            &  ~ (all_26_218 = e20) & h2(e14) = all_26_206 & h2(e13) =
% 234.46/45.48  |            all_26_209 & h2(e12) = all_26_212 & h2(e11) = all_26_215 & h2(e10)
% 234.46/45.48  |            = all_26_218 & $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 234.46/45.48  |            $i(all_26_215) & $i(all_26_218)) | (h2(e10) = all_26_218 &
% 234.46/45.48  |            $i(all_26_218) & (( ~ (all_26_203 = all_26_204) & h2(all_26_279) =
% 234.46/45.48  |                all_26_204 & h2(e11) = all_26_215 & op2(all_26_215, all_26_218)
% 234.46/45.48  |                = all_26_203 & op1(e11, e10) = all_26_279 & $i(all_26_203) &
% 234.46/45.48  |                $i(all_26_204) & $i(all_26_215) & $i(all_26_279)) | ( ~
% 234.46/45.48  |                (all_26_205 = all_26_207) & h2(all_26_283) = all_26_207 &
% 234.46/45.48  |                h2(e14) = all_26_206 & op2(all_26_218, all_26_206) = all_26_205
% 234.46/45.48  |                & op1(e10, e14) = all_26_283 & $i(all_26_205) & $i(all_26_206)
% 234.46/45.48  |                & $i(all_26_207) & $i(all_26_283)) | ( ~ (all_26_208 =
% 234.46/45.48  |                  all_26_210) & h2(all_26_287) = all_26_210 & h2(e13) =
% 234.46/45.48  |                all_26_209 & op2(all_26_218, all_26_209) = all_26_208 &
% 234.46/45.48  |                op1(e10, e13) = all_26_287 & $i(all_26_208) & $i(all_26_209) &
% 234.46/45.48  |                $i(all_26_210) & $i(all_26_287)) | ( ~ (all_26_211 =
% 234.46/45.48  |                  all_26_213) & h2(all_26_291) = all_26_213 & h2(e12) =
% 234.46/45.48  |                all_26_212 & op2(all_26_218, all_26_212) = all_26_211 &
% 234.46/45.48  |                op1(e10, e12) = all_26_291 & $i(all_26_211) & $i(all_26_212) &
% 234.46/45.48  |                $i(all_26_213) & $i(all_26_291)) | ( ~ (all_26_214 =
% 234.46/45.48  |                  all_26_216) & h2(all_26_295) = all_26_216 & h2(e11) =
% 234.46/45.48  |                all_26_215 & op2(all_26_218, all_26_215) = all_26_214 &
% 234.46/45.48  |                op1(e10, e11) = all_26_295 & $i(all_26_214) & $i(all_26_215) &
% 234.46/45.48  |                $i(all_26_216) & $i(all_26_295)) | ( ~ (all_26_217 =
% 234.46/45.48  |                  all_26_219) & h2(all_26_299) = all_26_219 & op2(all_26_218,
% 234.46/45.48  |                  all_26_218) = all_26_217 & op1(e10, e10) = all_26_299 &
% 234.46/45.48  |                $i(all_26_217) & $i(all_26_219) & $i(all_26_299))))
% 234.46/45.49  |   (527)  ( ~ (all_26_110 = all_26_111) & h3(all_26_222) = all_26_111 & h3(e14)
% 234.46/45.49  |            = all_26_151 & op2(all_26_151, all_26_151) = all_26_110 & op1(e14,
% 234.46/45.49  |              e14) = all_26_222 & $i(all_26_110) & $i(all_26_111) &
% 234.46/45.49  |            $i(all_26_151) & $i(all_26_222)) | ( ~ (all_26_112 = all_26_113) &
% 234.46/45.49  |            h3(all_26_225) = all_26_113 & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & op2(all_26_151, all_26_154) = all_26_112 & op1(e14,
% 234.46/45.49  |              e13) = all_26_225 & $i(all_26_112) & $i(all_26_113) &
% 234.46/45.49  |            $i(all_26_151) & $i(all_26_154) & $i(all_26_225)) | ( ~ (all_26_114
% 234.46/45.49  |              = all_26_115) & h3(all_26_228) = all_26_115 & h3(e14) =
% 234.46/45.49  |            all_26_151 & h3(e12) = all_26_157 & op2(all_26_151, all_26_157) =
% 234.46/45.49  |            all_26_114 & op1(e14, e12) = all_26_228 & $i(all_26_114) &
% 234.46/45.49  |            $i(all_26_115) & $i(all_26_151) & $i(all_26_157) & $i(all_26_228))
% 234.46/45.49  |          | ( ~ (all_26_116 = all_26_117) & h3(all_26_231) = all_26_117 &
% 234.46/45.49  |            h3(e14) = all_26_151 & h3(e11) = all_26_160 & op2(all_26_151,
% 234.46/45.49  |              all_26_160) = all_26_116 & op1(e14, e11) = all_26_231 &
% 234.46/45.49  |            $i(all_26_116) & $i(all_26_117) & $i(all_26_151) & $i(all_26_160) &
% 234.46/45.49  |            $i(all_26_231)) | ( ~ (all_26_118 = all_26_119) & h3(all_26_234) =
% 234.46/45.49  |            all_26_119 & h3(e14) = all_26_151 & h3(e10) = all_26_163 &
% 234.46/45.49  |            op2(all_26_151, all_26_163) = all_26_118 & op1(e14, e10) =
% 234.46/45.49  |            all_26_234 & $i(all_26_118) & $i(all_26_119) & $i(all_26_151) &
% 234.46/45.49  |            $i(all_26_163) & $i(all_26_234)) | ( ~ (all_26_120 = all_26_121) &
% 234.46/45.49  |            h3(all_26_237) = all_26_121 & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & op2(all_26_154, all_26_151) = all_26_120 & op1(e13,
% 234.46/45.49  |              e14) = all_26_237 & $i(all_26_120) & $i(all_26_121) &
% 234.46/45.49  |            $i(all_26_151) & $i(all_26_154) & $i(all_26_237)) | ( ~ (all_26_122
% 234.46/45.49  |              = all_26_123) & h3(all_26_240) = all_26_123 & h3(e13) =
% 234.46/45.49  |            all_26_154 & op2(all_26_154, all_26_154) = all_26_122 & op1(e13,
% 234.46/45.49  |              e13) = all_26_240 & $i(all_26_122) & $i(all_26_123) &
% 234.46/45.49  |            $i(all_26_154) & $i(all_26_240)) | ( ~ (all_26_124 = all_26_125) &
% 234.46/45.49  |            h3(all_26_243) = all_26_125 & h3(e13) = all_26_154 & h3(e12) =
% 234.46/45.49  |            all_26_157 & op2(all_26_154, all_26_157) = all_26_124 & op1(e13,
% 234.46/45.49  |              e12) = all_26_243 & $i(all_26_124) & $i(all_26_125) &
% 234.46/45.49  |            $i(all_26_154) & $i(all_26_157) & $i(all_26_243)) | ( ~ (all_26_126
% 234.46/45.49  |              = all_26_127) & h3(all_26_246) = all_26_127 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e11) = all_26_160 & op2(all_26_154, all_26_160) =
% 234.46/45.49  |            all_26_126 & op1(e13, e11) = all_26_246 & $i(all_26_126) &
% 234.46/45.49  |            $i(all_26_127) & $i(all_26_154) & $i(all_26_160) & $i(all_26_246))
% 234.46/45.49  |          | ( ~ (all_26_128 = all_26_129) & h3(all_26_249) = all_26_129 &
% 234.46/45.49  |            h3(e13) = all_26_154 & h3(e10) = all_26_163 & op2(all_26_154,
% 234.46/45.49  |              all_26_163) = all_26_128 & op1(e13, e10) = all_26_249 &
% 234.46/45.49  |            $i(all_26_128) & $i(all_26_129) & $i(all_26_154) & $i(all_26_163) &
% 234.46/45.49  |            $i(all_26_249)) | ( ~ (all_26_130 = all_26_131) & h3(all_26_252) =
% 234.46/45.49  |            all_26_131 & h3(e14) = all_26_151 & h3(e12) = all_26_157 &
% 234.46/45.49  |            op2(all_26_157, all_26_151) = all_26_130 & op1(e12, e14) =
% 234.46/45.49  |            all_26_252 & $i(all_26_130) & $i(all_26_131) & $i(all_26_151) &
% 234.46/45.49  |            $i(all_26_157) & $i(all_26_252)) | ( ~ (all_26_132 = all_26_133) &
% 234.46/45.49  |            h3(all_26_255) = all_26_133 & h3(e13) = all_26_154 & h3(e12) =
% 234.46/45.49  |            all_26_157 & op2(all_26_157, all_26_154) = all_26_132 & op1(e12,
% 234.46/45.49  |              e13) = all_26_255 & $i(all_26_132) & $i(all_26_133) &
% 234.46/45.49  |            $i(all_26_154) & $i(all_26_157) & $i(all_26_255)) | ( ~ (all_26_134
% 234.46/45.49  |              = all_26_135) & h3(all_26_258) = all_26_135 & h3(e12) =
% 234.46/45.49  |            all_26_157 & op2(all_26_157, all_26_157) = all_26_134 & op1(e12,
% 234.46/45.49  |              e12) = all_26_258 & $i(all_26_134) & $i(all_26_135) &
% 234.46/45.49  |            $i(all_26_157) & $i(all_26_258)) | ( ~ (all_26_136 = all_26_137) &
% 234.46/45.49  |            h3(all_26_261) = all_26_137 & h3(e12) = all_26_157 & h3(e11) =
% 234.46/45.49  |            all_26_160 & op2(all_26_157, all_26_160) = all_26_136 & op1(e12,
% 234.46/45.49  |              e11) = all_26_261 & $i(all_26_136) & $i(all_26_137) &
% 234.46/45.49  |            $i(all_26_157) & $i(all_26_160) & $i(all_26_261)) | ( ~ (all_26_138
% 234.46/45.49  |              = all_26_139) & h3(all_26_264) = all_26_139 & h3(e12) =
% 234.46/45.49  |            all_26_157 & h3(e10) = all_26_163 & op2(all_26_157, all_26_163) =
% 234.46/45.49  |            all_26_138 & op1(e12, e10) = all_26_264 & $i(all_26_138) &
% 234.46/45.49  |            $i(all_26_139) & $i(all_26_157) & $i(all_26_163) & $i(all_26_264))
% 234.46/45.49  |          | ( ~ (all_26_140 = all_26_141) & h3(all_26_267) = all_26_141 &
% 234.46/45.49  |            h3(e14) = all_26_151 & h3(e11) = all_26_160 & op2(all_26_160,
% 234.46/45.49  |              all_26_151) = all_26_140 & op1(e11, e14) = all_26_267 &
% 234.46/45.49  |            $i(all_26_140) & $i(all_26_141) & $i(all_26_151) & $i(all_26_160) &
% 234.46/45.49  |            $i(all_26_267)) | ( ~ (all_26_142 = all_26_143) & h3(all_26_270) =
% 234.46/45.49  |            all_26_143 & h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 234.46/45.49  |            op2(all_26_160, all_26_154) = all_26_142 & op1(e11, e13) =
% 234.46/45.49  |            all_26_270 & $i(all_26_142) & $i(all_26_143) & $i(all_26_154) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_270)) | ( ~ (all_26_144 = all_26_145) &
% 234.46/45.49  |            h3(all_26_273) = all_26_145 & h3(e12) = all_26_157 & h3(e11) =
% 234.46/45.49  |            all_26_160 & op2(all_26_160, all_26_157) = all_26_144 & op1(e11,
% 234.46/45.49  |              e12) = all_26_273 & $i(all_26_144) & $i(all_26_145) &
% 234.46/45.49  |            $i(all_26_157) & $i(all_26_160) & $i(all_26_273)) | ( ~ (all_26_146
% 234.46/45.49  |              = all_26_147) & h3(all_26_276) = all_26_147 & h3(e11) =
% 234.46/45.49  |            all_26_160 & op2(all_26_160, all_26_160) = all_26_146 & op1(e11,
% 234.46/45.49  |              e11) = all_26_276 & $i(all_26_146) & $i(all_26_147) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_276)) | ( ~ (all_26_151 = e24) &  ~
% 234.46/45.49  |            (all_26_154 = e24) &  ~ (all_26_157 = e24) &  ~ (all_26_160 = e24)
% 234.46/45.49  |            &  ~ (all_26_163 = e24) & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10)
% 234.46/45.49  |            = all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_163)) | ( ~ (all_26_151 = e23) &  ~
% 234.46/45.49  |            (all_26_154 = e23) &  ~ (all_26_157 = e23) &  ~ (all_26_160 = e23)
% 234.46/45.49  |            &  ~ (all_26_163 = e23) & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10)
% 234.46/45.49  |            = all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_163)) | ( ~ (all_26_151 = e22) &  ~
% 234.46/45.49  |            (all_26_154 = e22) &  ~ (all_26_157 = e22) &  ~ (all_26_160 = e22)
% 234.46/45.49  |            &  ~ (all_26_163 = e22) & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10)
% 234.46/45.49  |            = all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_163)) | ( ~ (all_26_151 = e21) &  ~
% 234.46/45.49  |            (all_26_154 = e21) &  ~ (all_26_157 = e21) &  ~ (all_26_160 = e21)
% 234.46/45.49  |            &  ~ (all_26_163 = e21) & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10)
% 234.46/45.49  |            = all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_163)) | ( ~ (all_26_151 = e20) &  ~
% 234.46/45.49  |            (all_26_154 = e20) &  ~ (all_26_157 = e20) &  ~ (all_26_160 = e20)
% 234.46/45.49  |            &  ~ (all_26_163 = e20) & h3(e14) = all_26_151 & h3(e13) =
% 234.46/45.49  |            all_26_154 & h3(e12) = all_26_157 & h3(e11) = all_26_160 & h3(e10)
% 234.46/45.49  |            = all_26_163 & $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 234.46/45.49  |            $i(all_26_160) & $i(all_26_163)) | (h3(e10) = all_26_163 &
% 234.46/45.49  |            $i(all_26_163) & (( ~ (all_26_148 = all_26_149) & h3(all_26_279) =
% 234.46/45.49  |                all_26_149 & h3(e11) = all_26_160 & op2(all_26_160, all_26_163)
% 234.46/45.49  |                = all_26_148 & op1(e11, e10) = all_26_279 & $i(all_26_148) &
% 234.46/45.49  |                $i(all_26_149) & $i(all_26_160) & $i(all_26_279)) | ( ~
% 234.46/45.49  |                (all_26_150 = all_26_152) & h3(all_26_283) = all_26_152 &
% 234.46/45.49  |                h3(e14) = all_26_151 & op2(all_26_163, all_26_151) = all_26_150
% 234.46/45.49  |                & op1(e10, e14) = all_26_283 & $i(all_26_150) & $i(all_26_151)
% 234.46/45.49  |                & $i(all_26_152) & $i(all_26_283)) | ( ~ (all_26_153 =
% 234.46/45.49  |                  all_26_155) & h3(all_26_287) = all_26_155 & h3(e13) =
% 234.46/45.49  |                all_26_154 & op2(all_26_163, all_26_154) = all_26_153 &
% 234.46/45.49  |                op1(e10, e13) = all_26_287 & $i(all_26_153) & $i(all_26_154) &
% 234.46/45.49  |                $i(all_26_155) & $i(all_26_287)) | ( ~ (all_26_156 =
% 234.46/45.49  |                  all_26_158) & h3(all_26_291) = all_26_158 & h3(e12) =
% 234.46/45.49  |                all_26_157 & op2(all_26_163, all_26_157) = all_26_156 &
% 234.46/45.49  |                op1(e10, e12) = all_26_291 & $i(all_26_156) & $i(all_26_157) &
% 234.46/45.49  |                $i(all_26_158) & $i(all_26_291)) | ( ~ (all_26_159 =
% 234.46/45.49  |                  all_26_161) & h3(all_26_295) = all_26_161 & h3(e11) =
% 234.46/45.49  |                all_26_160 & op2(all_26_163, all_26_160) = all_26_159 &
% 234.46/45.49  |                op1(e10, e11) = all_26_295 & $i(all_26_159) & $i(all_26_160) &
% 234.46/45.49  |                $i(all_26_161) & $i(all_26_295)) | ( ~ (all_26_162 =
% 234.46/45.49  |                  all_26_164) & h3(all_26_299) = all_26_164 & op2(all_26_163,
% 234.46/45.49  |                  all_26_163) = all_26_162 & op1(e10, e10) = all_26_299 &
% 234.46/45.49  |                $i(all_26_162) & $i(all_26_164) & $i(all_26_299))))
% 234.46/45.50  |   (528)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) = all_26_56 & h4(e14) =
% 234.46/45.50  |            all_26_96 & op2(all_26_96, all_26_96) = all_26_55 & op1(e14, e14) =
% 234.46/45.50  |            all_26_222 & $i(all_26_55) & $i(all_26_56) & $i(all_26_96) &
% 234.46/45.50  |            $i(all_26_222)) | ( ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 234.46/45.50  |            all_26_58 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 234.46/45.50  |            op2(all_26_96, all_26_99) = all_26_57 & op1(e14, e13) = all_26_225
% 234.46/45.50  |            & $i(all_26_57) & $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) & h4(all_26_228) =
% 234.46/45.50  |            all_26_60 & h4(e14) = all_26_96 & h4(e12) = all_26_102 &
% 234.46/45.50  |            op2(all_26_96, all_26_102) = all_26_59 & op1(e14, e12) = all_26_228
% 234.46/45.50  |            & $i(all_26_59) & $i(all_26_60) & $i(all_26_96) & $i(all_26_102) &
% 234.46/45.50  |            $i(all_26_228)) | ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 234.46/45.50  |            all_26_62 & h4(e14) = all_26_96 & h4(e11) = all_26_105 &
% 234.46/45.50  |            op2(all_26_96, all_26_105) = all_26_61 & op1(e14, e11) = all_26_231
% 234.46/45.50  |            & $i(all_26_61) & $i(all_26_62) & $i(all_26_96) & $i(all_26_105) &
% 234.46/45.50  |            $i(all_26_231)) | ( ~ (all_26_63 = all_26_64) & h4(all_26_234) =
% 234.46/45.50  |            all_26_64 & h4(e14) = all_26_96 & h4(e10) = all_26_108 &
% 234.46/45.50  |            op2(all_26_96, all_26_108) = all_26_63 & op1(e14, e10) = all_26_234
% 234.46/45.50  |            & $i(all_26_63) & $i(all_26_64) & $i(all_26_96) & $i(all_26_108) &
% 234.46/45.50  |            $i(all_26_234)) | ( ~ (all_26_65 = all_26_66) & h4(all_26_237) =
% 234.46/45.50  |            all_26_66 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 234.46/45.50  |            op2(all_26_99, all_26_96) = all_26_65 & op1(e13, e14) = all_26_237
% 234.46/45.50  |            & $i(all_26_65) & $i(all_26_66) & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_237)) | ( ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 234.46/45.50  |            all_26_68 & h4(e13) = all_26_99 & op2(all_26_99, all_26_99) =
% 234.46/45.50  |            all_26_67 & op1(e13, e13) = all_26_240 & $i(all_26_67) &
% 234.46/45.50  |            $i(all_26_68) & $i(all_26_99) & $i(all_26_240)) | ( ~ (all_26_69 =
% 234.46/45.50  |              all_26_70) & h4(all_26_243) = all_26_70 & h4(e13) = all_26_99 &
% 234.46/45.50  |            h4(e12) = all_26_102 & op2(all_26_99, all_26_102) = all_26_69 &
% 234.46/45.50  |            op1(e13, e12) = all_26_243 & $i(all_26_69) & $i(all_26_70) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_102) & $i(all_26_243)) | ( ~ (all_26_71 =
% 234.46/45.50  |              all_26_72) & h4(all_26_246) = all_26_72 & h4(e13) = all_26_99 &
% 234.46/45.50  |            h4(e11) = all_26_105 & op2(all_26_99, all_26_105) = all_26_71 &
% 234.46/45.50  |            op1(e13, e11) = all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_105) & $i(all_26_246)) | ( ~ (all_26_73 =
% 234.46/45.50  |              all_26_74) & h4(all_26_249) = all_26_74 & h4(e13) = all_26_99 &
% 234.46/45.50  |            h4(e10) = all_26_108 & op2(all_26_99, all_26_108) = all_26_73 &
% 234.46/45.50  |            op1(e13, e10) = all_26_249 & $i(all_26_73) & $i(all_26_74) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_108) & $i(all_26_249)) | ( ~ (all_26_75 =
% 234.46/45.50  |              all_26_76) & h4(all_26_252) = all_26_76 & h4(e14) = all_26_96 &
% 234.46/45.50  |            h4(e12) = all_26_102 & op2(all_26_102, all_26_96) = all_26_75 &
% 234.46/45.50  |            op1(e12, e14) = all_26_252 & $i(all_26_75) & $i(all_26_76) &
% 234.46/45.50  |            $i(all_26_96) & $i(all_26_102) & $i(all_26_252)) | ( ~ (all_26_77 =
% 234.46/45.50  |              all_26_78) & h4(all_26_255) = all_26_78 & h4(e13) = all_26_99 &
% 234.46/45.50  |            h4(e12) = all_26_102 & op2(all_26_102, all_26_99) = all_26_77 &
% 234.46/45.50  |            op1(e12, e13) = all_26_255 & $i(all_26_77) & $i(all_26_78) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_102) & $i(all_26_255)) | ( ~ (all_26_79 =
% 234.46/45.50  |              all_26_80) & h4(all_26_258) = all_26_80 & h4(e12) = all_26_102 &
% 234.46/45.50  |            op2(all_26_102, all_26_102) = all_26_79 & op1(e12, e12) =
% 234.46/45.50  |            all_26_258 & $i(all_26_79) & $i(all_26_80) & $i(all_26_102) &
% 234.46/45.50  |            $i(all_26_258)) | ( ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 234.46/45.50  |            all_26_82 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 234.46/45.50  |            op2(all_26_102, all_26_105) = all_26_81 & op1(e12, e11) =
% 234.46/45.50  |            all_26_261 & $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 234.46/45.50  |            $i(all_26_105) & $i(all_26_261)) | ( ~ (all_26_83 = all_26_84) &
% 234.46/45.50  |            h4(all_26_264) = all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 234.46/45.50  |            all_26_108 & op2(all_26_102, all_26_108) = all_26_83 & op1(e12,
% 234.46/45.50  |              e10) = all_26_264 & $i(all_26_83) & $i(all_26_84) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_108) & $i(all_26_264)) | ( ~ (all_26_85
% 234.46/45.50  |              = all_26_86) & h4(all_26_267) = all_26_86 & h4(e14) = all_26_96 &
% 234.46/45.50  |            h4(e11) = all_26_105 & op2(all_26_105, all_26_96) = all_26_85 &
% 234.46/45.50  |            op1(e11, e14) = all_26_267 & $i(all_26_85) & $i(all_26_86) &
% 234.46/45.50  |            $i(all_26_96) & $i(all_26_105) & $i(all_26_267)) | ( ~ (all_26_87 =
% 234.46/45.50  |              all_26_88) & h4(all_26_270) = all_26_88 & h4(e13) = all_26_99 &
% 234.46/45.50  |            h4(e11) = all_26_105 & op2(all_26_105, all_26_99) = all_26_87 &
% 234.46/45.50  |            op1(e11, e13) = all_26_270 & $i(all_26_87) & $i(all_26_88) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_105) & $i(all_26_270)) | ( ~ (all_26_89 =
% 234.46/45.50  |              all_26_90) & h4(all_26_273) = all_26_90 & h4(e12) = all_26_102 &
% 234.46/45.50  |            h4(e11) = all_26_105 & op2(all_26_105, all_26_102) = all_26_89 &
% 234.46/45.50  |            op1(e11, e12) = all_26_273 & $i(all_26_89) & $i(all_26_90) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_105) & $i(all_26_273)) | ( ~ (all_26_91
% 234.46/45.50  |              = all_26_92) & h4(all_26_276) = all_26_92 & h4(e11) = all_26_105
% 234.46/45.50  |            & op2(all_26_105, all_26_105) = all_26_91 & op1(e11, e11) =
% 234.46/45.50  |            all_26_276 & $i(all_26_91) & $i(all_26_92) & $i(all_26_105) &
% 234.46/45.50  |            $i(all_26_276)) | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) &  ~
% 234.46/45.50  |            (all_26_102 = e24) &  ~ (all_26_105 = e24) &  ~ (all_26_108 = e24)
% 234.46/45.50  |            & h4(e14) = all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102
% 234.46/45.50  |            & h4(e11) = all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) &
% 234.46/45.50  |            $i(all_26_99) & $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) |
% 234.46/45.50  |          ( ~ (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~ (all_26_102 = e23)
% 234.46/45.50  |            &  ~ (all_26_105 = e23) &  ~ (all_26_108 = e23) & h4(e14) =
% 234.46/45.50  |            all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 234.46/45.50  |            all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96
% 234.46/45.50  |              = e22) &  ~ (all_26_99 = e22) &  ~ (all_26_102 = e22) &  ~
% 234.46/45.50  |            (all_26_105 = e22) &  ~ (all_26_108 = e22) & h4(e14) = all_26_96 &
% 234.46/45.50  |            h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 234.46/45.50  |            h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96
% 234.46/45.50  |              = e21) &  ~ (all_26_99 = e21) &  ~ (all_26_102 = e21) &  ~
% 234.46/45.50  |            (all_26_105 = e21) &  ~ (all_26_108 = e21) & h4(e14) = all_26_96 &
% 234.46/45.50  |            h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 234.46/45.50  |            h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96
% 234.46/45.50  |              = e20) &  ~ (all_26_99 = e20) &  ~ (all_26_102 = e20) &  ~
% 234.46/45.50  |            (all_26_105 = e20) &  ~ (all_26_108 = e20) & h4(e14) = all_26_96 &
% 234.46/45.50  |            h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 234.46/45.50  |            h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) &
% 234.46/45.50  |            $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | (h4(e10) =
% 234.46/45.50  |            all_26_108 & $i(all_26_108) & (( ~ (all_26_93 = all_26_94) &
% 234.46/45.50  |                h4(all_26_279) = all_26_94 & h4(e11) = all_26_105 &
% 234.46/45.50  |                op2(all_26_105, all_26_108) = all_26_93 & op1(e11, e10) =
% 234.46/45.50  |                all_26_279 & $i(all_26_93) & $i(all_26_94) & $i(all_26_105) &
% 234.46/45.50  |                $i(all_26_279)) | ( ~ (all_26_95 = all_26_97) & h4(all_26_283)
% 234.46/45.50  |                = all_26_97 & h4(e14) = all_26_96 & op2(all_26_108, all_26_96)
% 234.46/45.50  |                = all_26_95 & op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 234.46/45.50  |                $i(all_26_96) & $i(all_26_97) & $i(all_26_283)) | ( ~
% 234.46/45.50  |                (all_26_98 = all_26_100) & h4(all_26_287) = all_26_100 &
% 234.46/45.50  |                h4(e13) = all_26_99 & op2(all_26_108, all_26_99) = all_26_98 &
% 234.46/45.50  |                op1(e10, e13) = all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 234.46/45.50  |                $i(all_26_100) & $i(all_26_287)) | ( ~ (all_26_101 =
% 234.46/45.50  |                  all_26_103) & h4(all_26_291) = all_26_103 & h4(e12) =
% 234.46/45.50  |                all_26_102 & op2(all_26_108, all_26_102) = all_26_101 &
% 234.46/45.50  |                op1(e10, e12) = all_26_291 & $i(all_26_101) & $i(all_26_102) &
% 234.46/45.50  |                $i(all_26_103) & $i(all_26_291)) | ( ~ (all_26_104 =
% 234.46/45.50  |                  all_26_106) & h4(all_26_295) = all_26_106 & h4(e11) =
% 234.46/45.50  |                all_26_105 & op2(all_26_108, all_26_105) = all_26_104 &
% 234.46/45.50  |                op1(e10, e11) = all_26_295 & $i(all_26_104) & $i(all_26_105) &
% 234.46/45.50  |                $i(all_26_106) & $i(all_26_295)) | ( ~ (all_26_107 =
% 234.46/45.50  |                  all_26_109) & h4(all_26_299) = all_26_109 & op2(all_26_108,
% 234.46/45.50  |                  all_26_108) = all_26_107 & op1(e10, e10) = all_26_299 &
% 234.46/45.50  |                $i(all_26_107) & $i(all_26_109) & $i(all_26_299))))
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_24, all_18_24, e10, e10,
% 234.46/45.50  |              simplifying with (203), (354) gives:
% 234.46/45.50  |   (529)  all_18_24 = all_14_24
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_19, all_18_23, e11, e10,
% 234.46/45.50  |              simplifying with (204), (355) gives:
% 234.46/45.50  |   (530)  all_18_23 = all_14_19
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_14, all_18_22, e12, e10,
% 234.46/45.50  |              simplifying with (205), (356) gives:
% 234.46/45.50  |   (531)  all_18_22 = all_14_14
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_9, all_18_21, e13, e10,
% 234.46/45.50  |              simplifying with (206), (357) gives:
% 234.46/45.50  |   (532)  all_18_21 = all_14_9
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_4, all_18_20, e14, e10,
% 234.46/45.50  |              simplifying with (207), (358) gives:
% 234.46/45.50  |   (533)  all_18_20 = all_14_4
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_23, all_18_19, e10, e11,
% 234.46/45.50  |              simplifying with (208), (359) gives:
% 234.46/45.50  |   (534)  all_18_19 = all_14_23
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_18, all_18_18, e11, e11,
% 234.46/45.50  |              simplifying with (209), (360) gives:
% 234.46/45.50  |   (535)  all_18_18 = all_14_18
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_13, all_18_17, e12, e11,
% 234.46/45.50  |              simplifying with (210), (361) gives:
% 234.46/45.50  |   (536)  all_18_17 = all_14_13
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_8, all_18_16, e13, e11,
% 234.46/45.50  |              simplifying with (211), (362) gives:
% 234.46/45.50  |   (537)  all_18_16 = all_14_8
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_3, all_18_15, e14, e11,
% 234.46/45.50  |              simplifying with (212), (363) gives:
% 234.46/45.50  |   (538)  all_18_15 = all_14_3
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_22, all_18_14, e10, e12,
% 234.46/45.50  |              simplifying with (213), (364) gives:
% 234.46/45.50  |   (539)  all_18_14 = all_14_22
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_17, all_18_13, e11, e12,
% 234.46/45.50  |              simplifying with (214), (365) gives:
% 234.46/45.50  |   (540)  all_18_13 = all_14_17
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_12, all_18_12, e12, e12,
% 234.46/45.50  |              simplifying with (215), (366) gives:
% 234.46/45.50  |   (541)  all_18_12 = all_14_12
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_7, all_18_11, e13, e12,
% 234.46/45.50  |              simplifying with (216), (367) gives:
% 234.46/45.50  |   (542)  all_18_11 = all_14_7
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_2, all_18_10, e14, e12,
% 234.46/45.50  |              simplifying with (217), (368) gives:
% 234.46/45.50  |   (543)  all_18_10 = all_14_2
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_21, all_18_9, e10, e13,
% 234.46/45.50  |              simplifying with (218), (369) gives:
% 234.46/45.50  |   (544)  all_18_9 = all_14_21
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_16, all_18_8, e11, e13,
% 234.46/45.50  |              simplifying with (219), (370) gives:
% 234.46/45.50  |   (545)  all_18_8 = all_14_16
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with e14, all_18_8, e11, e13, simplifying with
% 234.46/45.50  |              (42), (370) gives:
% 234.46/45.50  |   (546)  all_18_8 = e14
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_11, all_18_7, e12, e13,
% 234.46/45.50  |              simplifying with (220), (371) gives:
% 234.46/45.50  |   (547)  all_18_7 = all_14_11
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with e10, all_18_7, e12, e13, simplifying with
% 234.46/45.50  |              (43), (371) gives:
% 234.46/45.50  |   (548)  all_18_7 = e10
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_6, all_18_6, e13, e13, simplifying
% 234.46/45.50  |              with (221), (372) gives:
% 234.46/45.50  |   (549)  all_18_6 = all_14_6
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with e11, all_18_6, e13, e13, simplifying with
% 234.46/45.50  |              (44), (372) gives:
% 234.46/45.50  |   (550)  all_18_6 = e11
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_1, all_18_5, e14, e13, simplifying
% 234.46/45.50  |              with (222), (373) gives:
% 234.46/45.50  |   (551)  all_18_5 = all_14_1
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_20, all_18_4, e10, e14,
% 234.46/45.50  |              simplifying with (223), (374) gives:
% 234.46/45.50  |   (552)  all_18_4 = all_14_20
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_15, all_18_3, e11, e14,
% 234.46/45.50  |              simplifying with (224), (375) gives:
% 234.46/45.50  |   (553)  all_18_3 = all_14_15
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_10, all_18_2, e12, e14,
% 234.46/45.50  |              simplifying with (225), (376) gives:
% 234.46/45.50  |   (554)  all_18_2 = all_14_10
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_5, all_18_1, e13, e14, simplifying
% 234.46/45.50  |              with (226), (377) gives:
% 234.46/45.50  |   (555)  all_18_1 = all_14_5
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with e12, all_18_1, e13, e14, simplifying with
% 234.46/45.50  |              (45), (377) gives:
% 234.46/45.50  |   (556)  all_18_1 = e12
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (60) with all_14_0, all_18_0, e14, e14, simplifying
% 234.46/45.50  |              with (227), (378) gives:
% 234.46/45.50  |   (557)  all_18_0 = all_14_0
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (61) with all_16_24, all_20_24, e20, e20,
% 234.46/45.50  |              simplifying with (328), (393) gives:
% 234.46/45.50  |   (558)  all_20_24 = all_16_24
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (61) with all_8_2, all_20_24, e20, e20, simplifying
% 234.46/45.50  |              with (83), (393) gives:
% 234.46/45.50  |   (559)  all_20_24 = all_8_2
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (61) with all_16_19, all_20_23, e21, e20,
% 234.46/45.50  |              simplifying with (329), (394) gives:
% 234.46/45.50  |   (560)  all_20_23 = all_16_19
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (61) with all_16_14, all_20_22, e22, e20,
% 234.46/45.50  |              simplifying with (330), (395) gives:
% 234.46/45.50  |   (561)  all_20_22 = all_16_14
% 234.46/45.50  | 
% 234.46/45.50  | GROUND_INST: instantiating (61) with all_16_9, all_20_21, e23, e20,
% 234.46/45.50  |              simplifying with (331), (396) gives:
% 234.46/45.51  |   (562)  all_20_21 = all_16_9
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_4, all_20_20, e24, e20,
% 234.46/45.51  |              simplifying with (332), (397) gives:
% 234.46/45.51  |   (563)  all_20_20 = all_16_4
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_23, all_20_19, e20, e21,
% 234.46/45.51  |              simplifying with (333), (398) gives:
% 234.46/45.51  |   (564)  all_20_19 = all_16_23
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_18, all_20_18, e21, e21,
% 234.46/45.51  |              simplifying with (334), (399) gives:
% 234.46/45.51  |   (565)  all_20_18 = all_16_18
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_6_2, all_20_18, e21, e21, simplifying
% 234.46/45.51  |              with (73), (399) gives:
% 234.46/45.51  |   (566)  all_20_18 = all_6_2
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_13, all_20_17, e22, e21,
% 234.46/45.51  |              simplifying with (335), (400) gives:
% 234.46/45.51  |   (567)  all_20_17 = all_16_13
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_8, all_20_16, e23, e21,
% 234.46/45.51  |              simplifying with (336), (401) gives:
% 234.46/45.51  |   (568)  all_20_16 = all_16_8
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_3, all_20_15, e24, e21,
% 234.46/45.51  |              simplifying with (337), (402) gives:
% 234.46/45.51  |   (569)  all_20_15 = all_16_3
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_22, all_20_14, e20, e22,
% 234.46/45.51  |              simplifying with (338), (403) gives:
% 234.46/45.51  |   (570)  all_20_14 = all_16_22
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_17, all_20_13, e21, e22,
% 234.46/45.51  |              simplifying with (339), (404) gives:
% 234.46/45.51  |   (571)  all_20_13 = all_16_17
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_12, all_20_12, e22, e22,
% 234.46/45.51  |              simplifying with (340), (405) gives:
% 234.46/45.51  |   (572)  all_20_12 = all_16_12
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_4_2, all_20_12, e22, e22, simplifying
% 234.46/45.51  |              with (63), (405) gives:
% 234.46/45.51  |   (573)  all_20_12 = all_4_2
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_7, all_20_11, e23, e22,
% 234.46/45.51  |              simplifying with (341), (406) gives:
% 234.46/45.51  |   (574)  all_20_11 = all_16_7
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_2, all_20_10, e24, e22,
% 234.46/45.51  |              simplifying with (342), (407) gives:
% 234.46/45.51  |   (575)  all_20_10 = all_16_2
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_21, all_20_9, e20, e23,
% 234.46/45.51  |              simplifying with (343), (408) gives:
% 234.46/45.51  |   (576)  all_20_9 = all_16_21
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_16, all_20_8, e21, e23,
% 234.46/45.51  |              simplifying with (344), (409) gives:
% 234.46/45.51  |   (577)  all_20_8 = all_16_16
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with e24, all_20_8, e21, e23, simplifying with
% 234.46/45.51  |              (46), (409) gives:
% 234.46/45.51  |   (578)  all_20_8 = e24
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_11, all_20_7, e22, e23,
% 234.46/45.51  |              simplifying with (345), (410) gives:
% 234.46/45.51  |   (579)  all_20_7 = all_16_11
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with e20, all_20_7, e22, e23, simplifying with
% 234.46/45.51  |              (47), (410) gives:
% 234.46/45.51  |   (580)  all_20_7 = e20
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_6, all_20_6, e23, e23, simplifying
% 234.46/45.51  |              with (346), (411) gives:
% 234.46/45.51  |   (581)  all_20_6 = all_16_6
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_10_2, all_20_6, e23, e23, simplifying
% 234.46/45.51  |              with (93), (411) gives:
% 234.46/45.51  |   (582)  all_20_6 = all_10_2
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with e21, all_20_6, e23, e23, simplifying with
% 234.46/45.51  |              (48), (411) gives:
% 234.46/45.51  |   (583)  all_20_6 = e21
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_1, all_20_5, e24, e23, simplifying
% 234.46/45.51  |              with (347), (412) gives:
% 234.46/45.51  |   (584)  all_20_5 = all_16_1
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_20, all_20_4, e20, e24,
% 234.46/45.51  |              simplifying with (348), (413) gives:
% 234.46/45.51  |   (585)  all_20_4 = all_16_20
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_15, all_20_3, e21, e24,
% 234.46/45.51  |              simplifying with (349), (414) gives:
% 234.46/45.51  |   (586)  all_20_3 = all_16_15
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_10, all_20_2, e22, e24,
% 234.46/45.51  |              simplifying with (350), (415) gives:
% 234.46/45.51  |   (587)  all_20_2 = all_16_10
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_5, all_20_1, e23, e24, simplifying
% 234.46/45.51  |              with (351), (416) gives:
% 234.46/45.51  |   (588)  all_20_1 = all_16_5
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with e22, all_20_1, e23, e24, simplifying with
% 234.46/45.51  |              (49), (416) gives:
% 234.46/45.51  |   (589)  all_20_1 = e22
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_16_0, all_20_0, e24, e24, simplifying
% 234.46/45.51  |              with (352), (417) gives:
% 234.46/45.51  |   (590)  all_20_0 = all_16_0
% 234.46/45.51  | 
% 234.46/45.51  | GROUND_INST: instantiating (61) with all_12_2, all_20_0, e24, e24, simplifying
% 234.46/45.51  |              with (103), (417) gives:
% 234.46/45.51  |   (591)  all_20_0 = all_12_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (590), (591) imply:
% 234.46/45.51  |   (592)  all_16_0 = all_12_2
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (592) implies:
% 234.46/45.51  |   (593)  all_16_0 = all_12_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (588), (589) imply:
% 234.46/45.51  |   (594)  all_16_5 = e22
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (581), (582) imply:
% 234.46/45.51  |   (595)  all_16_6 = all_10_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (581), (583) imply:
% 234.46/45.51  |   (596)  all_16_6 = e21
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (579), (580) imply:
% 234.46/45.51  |   (597)  all_16_11 = e20
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (597) implies:
% 234.46/45.51  |   (598)  all_16_11 = e20
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (577), (578) imply:
% 234.46/45.51  |   (599)  all_16_16 = e24
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (599) implies:
% 234.46/45.51  |   (600)  all_16_16 = e24
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (572), (573) imply:
% 234.46/45.51  |   (601)  all_16_12 = all_4_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (565), (566) imply:
% 234.46/45.51  |   (602)  all_16_18 = all_6_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (558), (559) imply:
% 234.46/45.51  |   (603)  all_16_24 = all_8_2
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (603) implies:
% 234.46/45.51  |   (604)  all_16_24 = all_8_2
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (555), (556) imply:
% 234.46/45.51  |   (605)  all_14_5 = e12
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (605) implies:
% 234.46/45.51  |   (606)  all_14_5 = e12
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (549), (550) imply:
% 234.46/45.51  |   (607)  all_14_6 = e11
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (607) implies:
% 234.46/45.51  |   (608)  all_14_6 = e11
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (547), (548) imply:
% 234.46/45.51  |   (609)  all_14_11 = e10
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (609) implies:
% 234.46/45.51  |   (610)  all_14_11 = e10
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (545), (546) imply:
% 234.46/45.51  |   (611)  all_14_16 = e14
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (611) implies:
% 234.46/45.51  |   (612)  all_14_16 = e14
% 234.46/45.51  | 
% 234.46/45.51  | COMBINE_EQS: (595), (596) imply:
% 234.46/45.51  |   (613)  all_10_2 = e21
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (327), (593) imply:
% 234.46/45.51  |   (614)   ~ (all_16_1 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (614) implies:
% 234.46/45.51  |   (615)   ~ (all_16_1 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (326), (593) imply:
% 234.46/45.51  |   (616)   ~ (all_16_2 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (616) implies:
% 234.46/45.51  |   (617)   ~ (all_16_2 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (325), (593) imply:
% 234.46/45.51  |   (618)   ~ (all_16_3 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (618) implies:
% 234.46/45.51  |   (619)   ~ (all_16_3 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (324), (593) imply:
% 234.46/45.51  |   (620)   ~ (all_16_4 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (620) implies:
% 234.46/45.51  |   (621)   ~ (all_16_4 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (323), (593), (594) imply:
% 234.46/45.51  |   (622)   ~ (all_12_2 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (322), (593) imply:
% 234.46/45.51  |   (623)   ~ (all_16_10 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (623) implies:
% 234.46/45.51  |   (624)   ~ (all_16_10 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (321), (593) imply:
% 234.46/45.51  |   (625)   ~ (all_16_15 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (625) implies:
% 234.46/45.51  |   (626)   ~ (all_16_15 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (320), (593) imply:
% 234.46/45.51  |   (627)   ~ (all_16_20 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (627) implies:
% 234.46/45.51  |   (628)   ~ (all_16_20 = all_12_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (316), (596) imply:
% 234.46/45.51  |   (629)   ~ (all_16_1 = e21)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (315), (598) imply:
% 234.46/45.51  |   (630)   ~ (all_16_1 = e20)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (314), (600) imply:
% 234.46/45.51  |   (631)   ~ (all_16_1 = e24)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (309), (601) imply:
% 234.46/45.51  |   (632)   ~ (all_16_2 = all_4_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (303), (602) imply:
% 234.46/45.51  |   (633)   ~ (all_16_3 = all_6_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (298), (604) imply:
% 234.46/45.51  |   (634)   ~ (all_16_4 = all_8_2)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (297), (594), (596) imply:
% 234.46/45.51  |   (635)   ~ (e22 = e21)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (296), (594) imply:
% 234.46/45.51  |   (636)   ~ (all_16_7 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (636) implies:
% 234.46/45.51  |   (637)   ~ (all_16_7 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (295), (594) imply:
% 234.46/45.51  |   (638)   ~ (all_16_8 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (638) implies:
% 234.46/45.51  |   (639)   ~ (all_16_8 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (294), (594) imply:
% 234.46/45.51  |   (640)   ~ (all_16_9 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (640) implies:
% 234.46/45.51  |   (641)   ~ (all_16_9 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (293), (594) imply:
% 234.46/45.51  |   (642)   ~ (all_16_10 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (642) implies:
% 234.46/45.51  |   (643)   ~ (all_16_10 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (292), (594) imply:
% 234.46/45.51  |   (644)   ~ (all_16_15 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (644) implies:
% 234.46/45.51  |   (645)   ~ (all_16_15 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | REDUCE: (291), (594) imply:
% 234.46/45.51  |   (646)   ~ (all_16_20 = e22)
% 234.46/45.51  | 
% 234.46/45.51  | SIMP: (646) implies:
% 234.46/45.51  |   (647)   ~ (all_16_20 = e22)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (290), (596) imply:
% 234.46/45.52  |   (648)   ~ (all_16_7 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (648) implies:
% 234.46/45.52  |   (649)   ~ (all_16_7 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (289), (596) imply:
% 234.46/45.52  |   (650)   ~ (all_16_8 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (650) implies:
% 234.46/45.52  |   (651)   ~ (all_16_8 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (288), (596) imply:
% 234.46/45.52  |   (652)   ~ (all_16_9 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (652) implies:
% 234.46/45.52  |   (653)   ~ (all_16_9 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (287), (596), (598) imply:
% 234.46/45.52  |   (654)   ~ (e21 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (286), (596), (600) imply:
% 234.46/45.52  |   (655)   ~ (e24 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (655) implies:
% 234.46/45.52  |   (656)   ~ (e24 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (285), (596) imply:
% 234.46/45.52  |   (657)   ~ (all_16_21 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (657) implies:
% 234.46/45.52  |   (658)   ~ (all_16_21 = e21)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (282), (601) imply:
% 234.46/45.52  |   (659)   ~ (all_16_7 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (277), (602) imply:
% 234.46/45.52  |   (660)   ~ (all_16_8 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (273), (604) imply:
% 234.46/45.52  |   (661)   ~ (all_16_9 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (272), (598) imply:
% 234.46/45.52  |   (662)   ~ (all_16_10 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (271), (601) imply:
% 234.46/45.52  |   (663)   ~ (all_16_10 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (266), (598), (601) imply:
% 234.46/45.52  |   (664)   ~ (all_4_2 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (664) implies:
% 234.46/45.52  |   (665)   ~ (all_4_2 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (265), (598) imply:
% 234.46/45.52  |   (666)   ~ (all_16_13 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (666) implies:
% 234.46/45.52  |   (667)   ~ (all_16_13 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (264), (598) imply:
% 234.46/45.52  |   (668)   ~ (all_16_14 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (668) implies:
% 234.46/45.52  |   (669)   ~ (all_16_14 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (263), (598), (600) imply:
% 234.46/45.52  |   (670)   ~ (e24 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (670) implies:
% 234.46/45.52  |   (671)   ~ (e24 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (262), (598) imply:
% 234.46/45.52  |   (672)   ~ (all_16_21 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (672) implies:
% 234.46/45.52  |   (673)   ~ (all_16_21 = e20)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (261), (601) imply:
% 234.46/45.52  |   (674)   ~ (all_16_13 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (674) implies:
% 234.46/45.52  |   (675)   ~ (all_16_13 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (260), (601) imply:
% 234.46/45.52  |   (676)   ~ (all_16_14 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (676) implies:
% 234.46/45.52  |   (677)   ~ (all_16_14 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (259), (601) imply:
% 234.46/45.52  |   (678)   ~ (all_16_17 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (678) implies:
% 234.46/45.52  |   (679)   ~ (all_16_17 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (258), (601) imply:
% 234.46/45.52  |   (680)   ~ (all_16_22 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (680) implies:
% 234.46/45.52  |   (681)   ~ (all_16_22 = all_4_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (256), (602) imply:
% 234.46/45.52  |   (682)   ~ (all_16_13 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (254), (604) imply:
% 234.46/45.52  |   (683)   ~ (all_16_14 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (253), (600) imply:
% 234.46/45.52  |   (684)   ~ (all_16_15 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (251), (602) imply:
% 234.46/45.52  |   (685)   ~ (all_16_15 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (248), (600) imply:
% 234.46/45.52  |   (686)   ~ (all_16_17 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (686) implies:
% 234.46/45.52  |   (687)   ~ (all_16_17 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (247), (600), (602) imply:
% 234.46/45.52  |   (688)   ~ (all_6_2 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (688) implies:
% 234.46/45.52  |   (689)   ~ (all_6_2 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (246), (600) imply:
% 234.46/45.52  |   (690)   ~ (all_16_19 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (690) implies:
% 234.46/45.52  |   (691)   ~ (all_16_19 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (245), (600) imply:
% 234.46/45.52  |   (692)   ~ (all_16_21 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (692) implies:
% 234.46/45.52  |   (693)   ~ (all_16_21 = e24)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (244), (602) imply:
% 234.46/45.52  |   (694)   ~ (all_16_17 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (241), (602) imply:
% 234.46/45.52  |   (695)   ~ (all_16_19 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (695) implies:
% 234.46/45.52  |   (696)   ~ (all_16_19 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (240), (602) imply:
% 234.46/45.52  |   (697)   ~ (all_16_23 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (697) implies:
% 234.46/45.52  |   (698)   ~ (all_16_23 = all_6_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (239), (604) imply:
% 234.46/45.52  |   (699)   ~ (all_16_19 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (235), (604) imply:
% 234.46/45.52  |   (700)   ~ (all_16_20 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (232), (604) imply:
% 234.46/45.52  |   (701)   ~ (all_16_21 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (230), (604) imply:
% 234.46/45.52  |   (702)   ~ (all_16_22 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (229), (604) imply:
% 234.46/45.52  |   (703)   ~ (all_16_23 = all_8_2)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (192), (608) imply:
% 234.46/45.52  |   (704)   ~ (all_14_1 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (191), (610) imply:
% 234.46/45.52  |   (705)   ~ (all_14_1 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (190), (612) imply:
% 234.46/45.52  |   (706)   ~ (all_14_1 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (174), (606), (608) imply:
% 234.46/45.52  |   (707)   ~ (e12 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (173), (606) imply:
% 234.46/45.52  |   (708)   ~ (all_14_7 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (708) implies:
% 234.46/45.52  |   (709)   ~ (all_14_7 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (172), (606) imply:
% 234.46/45.52  |   (710)   ~ (all_14_8 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (710) implies:
% 234.46/45.52  |   (711)   ~ (all_14_8 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (171), (606) imply:
% 234.46/45.52  |   (712)   ~ (all_14_9 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (712) implies:
% 234.46/45.52  |   (713)   ~ (all_14_9 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (170), (606) imply:
% 234.46/45.52  |   (714)   ~ (all_14_10 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (714) implies:
% 234.46/45.52  |   (715)   ~ (all_14_10 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (169), (606) imply:
% 234.46/45.52  |   (716)   ~ (all_14_15 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (716) implies:
% 234.46/45.52  |   (717)   ~ (all_14_15 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (168), (606) imply:
% 234.46/45.52  |   (718)   ~ (all_14_20 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (718) implies:
% 234.46/45.52  |   (719)   ~ (all_14_20 = e12)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (167), (608) imply:
% 234.46/45.52  |   (720)   ~ (all_14_7 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (720) implies:
% 234.46/45.52  |   (721)   ~ (all_14_7 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (166), (608) imply:
% 234.46/45.52  |   (722)   ~ (all_14_8 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (722) implies:
% 234.46/45.52  |   (723)   ~ (all_14_8 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (165), (608) imply:
% 234.46/45.52  |   (724)   ~ (all_14_9 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (724) implies:
% 234.46/45.52  |   (725)   ~ (all_14_9 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (164), (608), (610) imply:
% 234.46/45.52  |   (726)   ~ (e11 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (163), (608), (612) imply:
% 234.46/45.52  |   (727)   ~ (e14 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (727) implies:
% 234.46/45.52  |   (728)   ~ (e14 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (162), (608) imply:
% 234.46/45.52  |   (729)   ~ (all_14_21 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (729) implies:
% 234.46/45.52  |   (730)   ~ (all_14_21 = e11)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (149), (610) imply:
% 234.46/45.52  |   (731)   ~ (all_14_10 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (143), (610) imply:
% 234.46/45.52  |   (732)   ~ (all_14_12 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (732) implies:
% 234.46/45.52  |   (733)   ~ (all_14_12 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (142), (610) imply:
% 234.46/45.52  |   (734)   ~ (all_14_13 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (734) implies:
% 234.46/45.52  |   (735)   ~ (all_14_13 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (141), (610) imply:
% 234.46/45.52  |   (736)   ~ (all_14_14 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (736) implies:
% 234.46/45.52  |   (737)   ~ (all_14_14 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (140), (610), (612) imply:
% 234.46/45.52  |   (738)   ~ (e14 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (738) implies:
% 234.46/45.52  |   (739)   ~ (e14 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (139), (610) imply:
% 234.46/45.52  |   (740)   ~ (all_14_21 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (740) implies:
% 234.46/45.52  |   (741)   ~ (all_14_21 = e10)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (130), (612) imply:
% 234.46/45.52  |   (742)   ~ (all_14_15 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (125), (612) imply:
% 234.46/45.52  |   (743)   ~ (all_14_17 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (743) implies:
% 234.46/45.52  |   (744)   ~ (all_14_17 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (124), (612) imply:
% 234.46/45.52  |   (745)   ~ (all_14_18 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (745) implies:
% 234.46/45.52  |   (746)   ~ (all_14_18 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | REDUCE: (123), (612) imply:
% 234.46/45.52  |   (747)   ~ (all_14_19 = e14)
% 234.46/45.52  | 
% 234.46/45.52  | SIMP: (747) implies:
% 234.46/45.52  |   (748)   ~ (all_14_19 = e14)
% 234.46/45.53  | 
% 234.46/45.53  | REDUCE: (122), (612) imply:
% 234.46/45.53  |   (749)   ~ (all_14_21 = e14)
% 234.46/45.53  | 
% 234.46/45.53  | SIMP: (749) implies:
% 234.46/45.53  |   (750)   ~ (all_14_21 = e14)
% 234.46/45.53  | 
% 234.46/45.53  | REDUCE: (98), (613) imply:
% 234.46/45.53  |   (751)  h4(e11) = e21
% 234.46/45.53  | 
% 234.46/45.53  | REDUCE: (94), (613) imply:
% 234.46/45.53  |   (752)  op2(e23, e21) = all_10_1
% 234.46/45.53  | 
% 234.46/45.53  | BETA: splitting (513) gives:
% 234.46/45.53  | 
% 234.46/45.53  | Case 1:
% 234.46/45.53  | | 
% 234.46/45.53  | |   (753)  (all_25_1 = e12 & op1(e14, e13) = e12) | (all_25_3 = e12 & op1(e13,
% 234.46/45.53  | |              e13) = e12)
% 234.46/45.53  | | 
% 234.46/45.53  | | BETA: splitting (753) gives:
% 234.46/45.53  | | 
% 234.46/45.53  | | Case 1:
% 234.46/45.53  | | | 
% 234.46/45.53  | | |   (754)  all_25_1 = e12 & op1(e14, e13) = e12
% 234.46/45.53  | | | 
% 234.46/45.53  | | | ALPHA: (754) implies:
% 234.46/45.53  | | |   (755)  all_25_1 = e12
% 234.46/45.53  | | | 
% 234.46/45.53  | | | BETA: splitting (498) gives:
% 234.46/45.53  | | | 
% 234.46/45.53  | | | Case 1:
% 234.46/45.53  | | | | 
% 234.46/45.53  | | | |   (756)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_10 = e14 &
% 234.46/45.53  | | | |            op1(e13, e11) = e14)
% 234.46/45.53  | | | | 
% 234.46/45.53  | | | | BETA: splitting (756) gives:
% 234.46/45.53  | | | | 
% 234.46/45.53  | | | | Case 1:
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | |   (757)  all_25_9 = e14 & op1(e14, e11) = e14
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | | REF_CLOSE: (60), (224), (742), (757) are inconsistent by sub-proof
% 234.46/45.53  | | | | |            #1340.
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | Case 2:
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | |   (758)  all_25_10 = e14 & op1(e13, e11) = e14
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | | ALPHA: (758) implies:
% 234.46/45.53  | | | | |   (759)  all_25_10 = e14
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | | BETA: splitting (508) gives:
% 234.46/45.53  | | | | | 
% 234.46/45.53  | | | | | Case 1:
% 234.46/45.53  | | | | | | 
% 234.46/45.53  | | | | | |   (760)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 &
% 234.46/45.53  | | | | | |            op1(e13, e13) = e11)
% 234.46/45.53  | | | | | | 
% 234.46/45.53  | | | | | | BETA: splitting (760) gives:
% 234.46/45.53  | | | | | | 
% 234.46/45.53  | | | | | | Case 1:
% 234.46/45.53  | | | | | | | 
% 234.46/45.53  | | | | | | |   (761)  all_25_2 = e11 & op1(e13, e14) = e11
% 234.46/45.53  | | | | | | | 
% 234.46/45.53  | | | | | | | ALPHA: (761) implies:
% 234.46/45.53  | | | | | | |   (762)  all_25_2 = e11
% 234.46/45.53  | | | | | | | 
% 234.46/45.53  | | | | | | | BETA: splitting (509) gives:
% 234.46/45.53  | | | | | | | 
% 234.46/45.53  | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | |   (763)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 =
% 234.46/45.53  | | | | | | | |            e12 & op1(e13, e13) = e12)
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | | BETA: splitting (763) gives:
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | |   (764)  all_25_2 = e12 & op1(e13, e14) = e12
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | ALPHA: (764) implies:
% 234.46/45.53  | | | | | | | | |   (765)  all_25_2 = e12
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | REF_CLOSE: (707), (762), (765) are inconsistent by sub-proof
% 234.46/45.53  | | | | | | | | |            #1339.
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | |   (766)  all_25_3 = e12 & op1(e13, e13) = e12
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | REF_CLOSE: (44), (60), (707), (766) are inconsistent by
% 234.46/45.53  | | | | | | | | |            sub-proof #1338.
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | End of split
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | |   (767)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 =
% 234.46/45.53  | | | | | | | |            e12 & op1(e13, e11) = e12) | (all_25_17 = e12 &
% 234.46/45.53  | | | | | | | |            op1(e13, e10) = e12)
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | | BETA: splitting (767) gives:
% 234.46/45.53  | | | | | | | | 
% 234.46/45.53  | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | |   (768)  all_25_5 = e12 & op1(e13, e12) = e12
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | REF_CLOSE: (28), (43), (60), (768) are inconsistent by
% 234.46/45.53  | | | | | | | | |            sub-proof #1337.
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | |   (769)  (all_25_10 = e12 & op1(e13, e11) = e12) | (all_25_17
% 234.46/45.53  | | | | | | | | |            = e12 & op1(e13, e10) = e12)
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | BETA: splitting (769) gives:
% 234.46/45.53  | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | |   (770)  all_25_10 = e12 & op1(e13, e11) = e12
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | ALPHA: (770) implies:
% 234.46/45.53  | | | | | | | | | |   (771)  op1(e13, e11) = e12
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | REF_CLOSE: (32), (42), (60), (771) are inconsistent by
% 234.46/45.53  | | | | | | | | | |            sub-proof #1336.
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | |   (772)  all_25_17 = e12 & op1(e13, e10) = e12
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | ALPHA: (772) implies:
% 234.46/45.53  | | | | | | | | | |   (773)  op1(e13, e10) = e12
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | BETA: splitting (510) gives:
% 234.46/45.53  | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | |   (774)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3
% 234.46/45.53  | | | | | | | | | | |            = e13 & op1(e13, e13) = e13)
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | BETA: splitting (774) gives:
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | |   (775)  all_25_2 = e13 & op1(e13, e14) = e13
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | ALPHA: (775) implies:
% 234.46/45.53  | | | | | | | | | | | |   (776)  all_25_2 = e13
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | COMBINE_EQS: (762), (776) imply:
% 234.46/45.53  | | | | | | | | | | | |   (777)  e13 = e11
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | SIMP: (777) implies:
% 234.46/45.53  | | | | | | | | | | | |   (778)  e13 = e11
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | REDUCE: (30), (778) imply:
% 234.46/45.53  | | | | | | | | | | | |   (779)  $false
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | |   (780)  all_25_3 = e13 & op1(e13, e13) = e13
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (780) are inconsistent by
% 234.46/45.53  | | | | | | | | | | | |            sub-proof #1335.
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | End of split
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | Case 2:
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | |   (781)  (all_25_5 = e13 & op1(e13, e12) = e13) |
% 234.46/45.53  | | | | | | | | | | |          (all_25_10 = e13 & op1(e13, e11) = e13) |
% 234.46/45.53  | | | | | | | | | | |          (all_25_17 = e13 & op1(e13, e10) = e13)
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | BETA: splitting (781) gives:
% 234.46/45.53  | | | | | | | | | | | 
% 234.46/45.53  | | | | | | | | | | | Case 1:
% 234.46/45.53  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | |   (782)  all_25_5 = e13 & op1(e13, e12) = e13
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | ALPHA: (782) implies:
% 234.46/45.54  | | | | | | | | | | | |   (783)  op1(e13, e12) = e13
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (783) are inconsistent by
% 234.46/45.54  | | | | | | | | | | | |            sub-proof #1334.
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | |   (784)  (all_25_10 = e13 & op1(e13, e11) = e13) |
% 234.46/45.54  | | | | | | | | | | | |          (all_25_17 = e13 & op1(e13, e10) = e13)
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | BETA: splitting (784) gives:
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | |   (785)  all_25_10 = e13 & op1(e13, e11) = e13
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | ALPHA: (785) implies:
% 234.46/45.54  | | | | | | | | | | | | |   (786)  op1(e13, e11) = e13
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (786) are inconsistent by
% 234.46/45.54  | | | | | | | | | | | | |            sub-proof #1333.
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | |   (787)  all_25_17 = e13 & op1(e13, e10) = e13
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | ALPHA: (787) implies:
% 234.46/45.54  | | | | | | | | | | | | |   (788)  op1(e13, e10) = e13
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | REF_CLOSE: (31), (60), (773), (788) are inconsistent by
% 234.46/45.54  | | | | | | | | | | | | |            sub-proof #1332.
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | 
% 234.46/45.54  | | | | | | | End of split
% 234.46/45.54  | | | | | | | 
% 234.46/45.54  | | | | | | Case 2:
% 234.46/45.54  | | | | | | | 
% 234.46/45.54  | | | | | | |   (789)  all_25_3 = e11 & op1(e13, e13) = e11
% 234.46/45.54  | | | | | | | 
% 234.46/45.54  | | | | | | | ALPHA: (789) implies:
% 234.46/45.54  | | | | | | |   (790)  all_25_3 = e11
% 234.46/45.54  | | | | | | | 
% 234.46/45.54  | | | | | | | BETA: splitting (498) gives:
% 234.46/45.54  | | | | | | | 
% 234.46/45.54  | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | 
% 234.46/45.54  | | | | | | | | 
% 234.46/45.54  | | | | | | | | BETA: splitting (756) gives:
% 234.46/45.54  | | | | | | | | 
% 234.46/45.54  | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | |   (791)  all_25_9 = e14 & op1(e14, e11) = e14
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | REF_CLOSE: (60), (224), (742), (791) are inconsistent by
% 234.46/45.54  | | | | | | | | |            sub-proof #1340.
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | BETA: splitting (461) gives:
% 234.46/45.54  | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | |   (792)  (all_24_2 = e20 & op2(e23, e24) = e20) | (all_24_3
% 234.46/45.54  | | | | | | | | | |            = e20 & op2(e23, e23) = e20)
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | BETA: splitting (792) gives:
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | |   (793)  all_24_2 = e20 & op2(e23, e24) = e20
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | ALPHA: (793) implies:
% 234.46/45.54  | | | | | | | | | | |   (794)  all_24_2 = e20
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 234.46/45.54  | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 234.46/45.54  | | | | | | | | | | |            (654), (656), (671), (752), (794) are inconsistent
% 234.46/45.54  | | | | | | | | | | |            by sub-proof #1307.
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | |   (795)  all_24_3 = e20 & op2(e23, e23) = e20
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (795) are inconsistent by
% 234.46/45.54  | | | | | | | | | | |            sub-proof #1306.
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | End of split
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | |   (796)  (all_24_5 = e20 & op2(e23, e22) = e20) | (all_24_10
% 234.46/45.54  | | | | | | | | | |            = e20 & op2(e23, e21) = e20) | (all_24_17 = e20 &
% 234.46/45.54  | | | | | | | | | |            op2(e23, e20) = e20)
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | BETA: splitting (796) gives:
% 234.46/45.54  | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | |   (797)  all_24_5 = e20 & op2(e23, e22) = e20
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | ALPHA: (797) implies:
% 234.46/45.54  | | | | | | | | | | |   (798)  all_24_5 = e20
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | BETA: splitting (462) gives:
% 234.46/45.54  | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | |   (799)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 234.46/45.54  | | | | | | | | | | | |            = e21 & op2(e23, e23) = e21)
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | BETA: splitting (799) gives:
% 234.46/45.54  | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | |   (800)  all_24_2 = e21 & op2(e23, e24) = e21
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | ALPHA: (800) implies:
% 234.46/45.54  | | | | | | | | | | | | |   (801)  all_24_2 = e21
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 234.46/45.54  | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 234.46/45.54  | | | | | | | | | | | | |            (671), (752), (798), (801) are inconsistent by
% 234.46/45.54  | | | | | | | | | | | | |            sub-proof #1298.
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | |   (802)  all_24_3 = e21 & op2(e23, e23) = e21
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | ALPHA: (802) implies:
% 234.46/45.54  | | | | | | | | | | | | |   (803)  all_24_3 = e21
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | BETA: splitting (474) gives:
% 234.46/45.54  | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | |   (804)  (all_24_0 = e22 & op2(e24, e24) = e22) | (all_24_1
% 234.46/45.54  | | | | | | | | | | | | | |            = e22 & op2(e24, e23) = e22)
% 234.46/45.54  | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | BETA: splitting (804) gives:
% 234.46/45.54  | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | Case 1:
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | |   (805)  all_24_0 = e22 & op2(e24, e24) = e22
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (622), (805) are inconsistent by
% 234.46/45.54  | | | | | | | | | | | | | | |            sub-proof #1297.
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | Case 2:
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | |   (806)  all_24_1 = e22 & op2(e24, e23) = e22
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 234.46/45.54  | | | | | | | | | | | | | | |   (807)  all_24_1 = e22
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 234.46/45.54  | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 234.46/45.54  | | | | | | | | | | | | | | |   (808)  all_10_1 = e24
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | REDUCE: (101), (808) imply:
% 234.46/45.54  | | | | | | | | | | | | | | |   (809)  h4(e14) = e24
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | REDUCE: (96), (808) imply:
% 234.46/45.54  | | | | | | | | | | | | | | |   (810)  op2(e24, e23) = all_10_0
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_10_0, e23, e24,
% 234.46/45.54  | | | | | | | | | | | | | | |              simplifying with (49), (810) gives:
% 234.46/45.54  | | | | | | | | | | | | | | |   (811)  all_10_0 = e22
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | REDUCE: (99), (811) imply:
% 234.46/45.54  | | | | | | | | | | | | | | |   (812)  h4(e12) = e22
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.46/45.54  | | | | | | | | | | | | | | | REDUCE: (95), (811) imply:
% 234.46/45.54  | | | | | | | | | | | | | | |   (813)  op2(e23, e22) = all_10_3
% 234.46/45.54  | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_10_3, e22, e23,
% 234.76/45.54  | | | | | | | | | | | | | | |              simplifying with (47), (813) gives:
% 234.76/45.54  | | | | | | | | | | | | | | |   (814)  all_10_3 = e20
% 234.76/45.54  | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | REDUCE: (97), (814) imply:
% 234.76/45.54  | | | | | | | | | | | | | | |   (815)  h4(e10) = e20
% 234.76/45.54  | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 234.76/45.54  | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | Case 1:
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | |   (816)  unit1 = e13
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | REDUCE: (4), (816) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | |   (817)  op1(e12, e13) = e12
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (817) are inconsistent by
% 234.76/45.54  | | | | | | | | | | | | | | | |            sub-proof #1296.
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | Case 2:
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | |   (818)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 =
% 234.76/45.54  | | | | | | | | | | | | | | | |          e10
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 234.76/45.54  | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | |   (819)  unit2 = e23
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | REDUCE: (17), (819) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | | |   (820)  op2(e23, e23) = e23
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (48), (61), (820) are inconsistent by
% 234.76/45.54  | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | |   (821)   ~ (unit2 = e23)
% 234.76/45.54  | | | | | | | | | | | | | | | | |   (822)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 =
% 234.76/45.54  | | | | | | | | | | | | | | | | |          e20
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 234.76/45.54  | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (823)  all_18_9 = e13
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (823) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (824)  all_14_21 = e13
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | | REDUCE: (189), (824) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (825)   ~ (all_14_1 = e13)
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | | REDUCE: (115), (824) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (826)   ~ (all_14_20 = e13)
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | | REDUCE: (112), (824) imply:
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (827)   ~ (all_14_22 = e13)
% 234.76/45.54  | | | | | | | | | | | | | | | | | | 
% 234.76/45.54  | | | | | | | | | | | | | | | | | | SIMP: (827) implies:
% 234.76/45.54  | | | | | | | | | | | | | | | | | |   (828)   ~ (all_14_22 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | REDUCE: (111), (824) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | |   (829)   ~ (all_14_23 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | SIMP: (829) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | |   (830)   ~ (all_14_23 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | REDUCE: (110), (824) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | |   (831)   ~ (all_14_24 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | SIMP: (831) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | |   (832)   ~ (all_14_24 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | REDUCE: (750), (824) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | |   (833)   ~ (e14 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (834)  all_18_5 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (834) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (835)  all_14_1 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | SIMP: (835) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (836)  all_14_1 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | REDUCE: (825), (836) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (837)  $false
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | CLOSE: (837) is inconsistent.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (838)   ~ (all_18_5 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |   (839)  all_18_5 = e14 | all_18_5 = e12 | all_18_5 = e11 |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | |          all_18_5 = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (487) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | |   (840)  (all_25_16 = e13 & op1(e14, e10) = e13) |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e13 & op1(e13, e10) = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (840) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | |   (841)  all_25_16 = e13 & op1(e14, e10) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (223), (826), (841) are inconsistent by
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1295.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | |   (842)  all_25_17 = e13 & op1(e13, e10) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (842) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | |   (843)  all_25_17 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | |   (844)  op1(e13, e10) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | |   (845)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e13) = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (845) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | |   (846)  all_25_2 = e12 & op1(e13, e14) = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (846) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_25_2 = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | |   (848)  all_18_5 = e14
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (706), (848) are inconsistent by sub-proof
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | |            #1294.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | |   (849)   ~ (all_18_5 = e14)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_18_5 = e12 | all_18_5 = e11 | all_18_5 = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  all_18_5 = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (851) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  all_14_1 = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (852) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_14_1 = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (854)   ~ (all_14_0 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (855)   ~ (all_14_2 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (855) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (856)   ~ (all_14_2 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (194), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (857)   ~ (all_14_3 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (857) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (858)   ~ (all_14_3 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (859)   ~ (all_14_4 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (859) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (860)   ~ (all_14_4 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (861)   ~ (e14 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (862)   ~ (e13 = e12)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (853) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  op1(e13, e14) = e12
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (480) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  all_25_24 = e10 & op1(e10, e10) = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (864) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  all_25_24 = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  op1(e10, e10) = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_24, e10, e10, e10,
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (866) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)  all_14_24 = e10
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)   ~ (all_14_4 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)   ~ (all_14_9 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)   ~ (all_14_19 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)   ~ (all_14_20 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)   ~ (all_14_22 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)   ~ (all_14_23 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (867) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)   ~ (e13 = e10)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)  all_18_21 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (875) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)  all_14_9 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (876) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)  all_14_9 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (877) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)   ~ (all_14_7 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (877) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)   ~ (all_14_14 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (879) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)   ~ (all_14_14 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (877) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)   ~ (all_14_19 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (881) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)   ~ (all_14_19 = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (877) imply:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  op1(e10, e13) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e13 & op1(e13, e13) = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (884) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)  all_25_1 = e13 & op1(e14, e13) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (885) are inconsistent by sub-proof
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)  all_25_3 = e13 & op1(e13, e13) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (886) are inconsistent by
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)  (all_25_7 = e13 & op1(e12, e13) = e13) |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e13 & op1(e11, e13) = e13) |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e13 & op1(e10, e13) = e13)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (887) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)  all_25_7 = e13 & op1(e12, e13) = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (888) implies:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  all_25_7 = e13
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (890) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)  all_25_1 = e14 & op1(e14, e13) = e14
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (891) are inconsistent by sub-proof
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)  all_25_3 = e14 & op1(e13, e13) = e14
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (892) are inconsistent by sub-proof
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (893) gives:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)  all_25_7 = e14 & op1(e12, e13) = e14
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (889), (894) are inconsistent by sub-proof
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1290.
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  all_25_13 = e14 & op1(e11, e13) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (896) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)  all_25_13 = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)  (all_25_20 = e13 & op1(e10, e14) = e13) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e13 & op1(e10, e13) = e13)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (898) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  all_25_20 = e13 & op1(e10, e14) = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (899) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)  all_25_20 = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (901) are inconsistent
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1279.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (902) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)  all_25_7 = e10 & op1(e12, e13) = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (889), (903) are inconsistent by sub-proof #1276.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)  all_25_13 = e10 & op1(e11, e13) = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (905) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_25_13 = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (883), (889), (906) are inconsistent by
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1272.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  all_25_21 = e10 & op1(e10, e13) = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (907) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)  all_25_21 = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)  op1(e10, e13) = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (910) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)  all_25_20 = e14 & op1(e10, e14) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (911) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  all_25_20 = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (900), (912) imply:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)  e14 = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (913) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  e14 = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (914) imply:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  all_25_13 = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (515), (728), (739), (755), (790),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (889), (908), (915) are inconsistent by sub-proof
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1270.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)  all_25_21 = e14 & op1(e10, e13) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (739), (909), (916) are inconsistent by
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1269.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (917) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)  all_25_22 = e14 & op1(e10, e12) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (28), (29), (30), (31), (32), (33),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (206), (225), (481),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (482), (508), (509), (510), (511), (707), (713),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (715), (726), (728), (739), (818), (847), (865),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (870), (900), (908), (918) are inconsistent by
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_25_23 = e14 & op1(e10, e11) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (920) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  op1(e10, e11) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (921) are inconsistent by
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  all_25_24 = e14 & op1(e10, e10) = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  all_25_24 = e14
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (865), (923) imply:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)  e14 = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (924) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)  e14 = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (925) imply:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_25_13 = e10
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (883), (889), (926) are inconsistent by
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1272.
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  all_25_21 = e13 & op1(e10, e13) = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_25_21 = e13
% 234.76/45.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (889), (928) are inconsistent by
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1255.
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  (all_25_22 = e13 & op1(e10, e12) = e13) |
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e13 & op1(e10, e11) = e13) |
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e13 & op1(e10, e10) = e13)
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (205), (510), (511), (728), (739), (790),
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (865), (880), (882), (929) are
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_25_21 = e14 & op1(e10, e13) = e14
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  op1(e10, e13) = e14
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (883), (931) are inconsistent by
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.76/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  (all_25_13 = e13 & op1(e11, e13) = e13) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e13 & op1(e10, e13) = e13)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (932) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_25_13 = e13 & op1(e11, e13) = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (933) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  all_25_13 = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (935) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_25_1 = e14 & op1(e14, e13) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (936) are inconsistent by sub-proof
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  all_25_3 = e14 & op1(e13, e13) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (937) are inconsistent by sub-proof
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_25_7 = e14 & op1(e12, e13) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  all_25_7 = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  (all_25_20 = e13 & op1(e10, e14) = e13) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e13 & op1(e10, e13) = e13)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (941) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_25_20 = e13 & op1(e10, e14) = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (942) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  all_25_20 = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (944) are inconsistent
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1279.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (945) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)  all_25_7 = e10 & op1(e12, e13) = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (946) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  all_25_7 = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (883), (934), (947) are inconsistent by
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1249.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (948) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)  all_25_13 = e10 & op1(e11, e13) = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (934), (949) are inconsistent by sub-proof #1248.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)  all_25_21 = e10 & op1(e10, e13) = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (950) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)  all_25_21 = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  op1(e10, e13) = e10
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (953) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)  all_25_20 = e14 & op1(e10, e14) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (954) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)  all_25_20 = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (943), (955) imply:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)  e14 = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (956) implies:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)  e14 = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (940), (957) imply:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)  all_25_7 = e13
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (515), (728), (739), (755), (790),
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (934), (951), (958) are inconsistent by sub-proof
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1270.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)  all_25_21 = e14 & op1(e10, e13) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (739), (952), (959) are inconsistent by
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1269.
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)  all_25_22 = e14 & op1(e10, e12) = e14
% 234.88/45.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (28), (29), (30), (31), (32), (33),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (206), (225), (481),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (482), (508), (509), (510), (511), (707), (713),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (715), (726), (728), (739), (818), (847), (865),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (870), (943), (951), (961) are inconsistent by
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (962) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (963)  all_25_23 = e14 & op1(e10, e11) = e14
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  op1(e10, e11) = e14
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (964) are inconsistent by
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)  all_25_24 = e14 & op1(e10, e10) = e14
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)  all_25_24 = e14
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (865), (966) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)  e14 = e10
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (967) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)  e14 = e10
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (940), (968) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (969)  all_25_7 = e10
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (883), (934), (969) are inconsistent by
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1249.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (970)  all_25_21 = e13 & op1(e10, e13) = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (970) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (971)  all_25_21 = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (934), (971) are inconsistent by
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1247.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (972)  (all_25_22 = e13 & op1(e10, e12) = e13) |
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e13 & op1(e10, e11) = e13) |
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e13 & op1(e10, e10) = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (205), (510), (511), (728), (739), (790),
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (865), (880), (882), (972) are
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (973)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (883), (934), (973) are inconsistent
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1250.
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (974)  all_25_21 = e13 & op1(e10, e13) = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (974) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (975)  all_25_21 = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (976)  all_24_24 = e20 & op2(e20, e20) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (976) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (977)  all_24_24 = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (978)  op2(e20, e20) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e20, e20, e20,
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (978) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (979)  all_8_2 = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (980)   ~ (all_16_4 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (981)   ~ (all_16_9 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (982)   ~ (all_16_19 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (983)   ~ (all_16_20 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (984)   ~ (all_16_22 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (985)   ~ (all_16_23 = e20)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (986)  h1(e11) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (979) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (987)  op2(e20, e20) = all_8_1
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_8_1, e20, e20,
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (987) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (988)  all_8_1 = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (988) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (989)  h1(e14) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (988) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (990)  op2(e20, e20) = all_8_0
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_8_0, e20, e20,
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (990) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (991)  all_8_0 = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (991) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (992)  h1(e12) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (991) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (993)  op2(e20, e20) = all_8_3
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_8_3, e20, e20,
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (993) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (994)  all_8_3 = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (994) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (995)  h1(e10) = e20
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (996)  all_18_2 = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (996) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (997)  all_14_10 = e13
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (997) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (998)   ~ (all_14_12 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (998) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (999)   ~ (all_14_12 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (997) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1000)   ~ (all_14_13 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1000) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)   ~ (all_14_13 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (997) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)   ~ (all_14_15 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1002) implies:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)   ~ (all_14_15 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (997) imply:
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)   ~ (all_14_20 = e13)
% 234.88/45.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (45), (60),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (114), (120), (121), (128), (129), (136),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (153), (155), (158), (161), (176), (178), (180),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (181), (183), (184), (185), (188), (196), (200),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (204), (205), (206), (207), (208), (209),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (212), (213), (214), (215), (216),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (223), (224), (225), (227), (387), (432),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (481), (482), (483), (484), (485), (486), (488),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (490), (491), (493), (494), (495), (496),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (497), (499), (500), (501), (502), (503), (504),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (505), (506), (507), (508), (509), (510), (511),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (520),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (523), (543), (707), (709), (711),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (713), (715), (717), (719), (721), (723), (726),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (735), (739), (742), (744), (746), (748),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (826), (828), (830),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (854), (856), (858), (863),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (865), (870), (871), (872), (873), (880), (882),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (999), (1001), (1003) are
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #974.
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)   ~ (all_18_2 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1005) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1006)   ~ (all_14_10 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_18_3 = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1007) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1008)  all_14_15 = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (1008) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1009)   ~ (all_14_0 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1008) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1010)   ~ (all_14_17 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1010) implies:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)   ~ (all_14_17 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1008) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)   ~ (all_14_18 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)   ~ (all_14_18 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1008) imply:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1014)   ~ (all_14_20 = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1015)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e13) = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1015) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1016)  all_25_0 = e13 & op1(e14, e14) = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1016) implies:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1017)  all_25_0 = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1018)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1018) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_25_9 = e13 & op1(e14, e11) = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1019) implies:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1020)  all_25_9 = e13
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1021)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1022)  all_25_0 = e10 & op1(e14, e14) = e10
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1017), (1022) are inconsistent by sub-proof
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1246.
% 234.88/45.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1023)  all_25_1 = e10 & op1(e14, e13) = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (1023) are
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1024)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (510), (511), (728), (731), (739),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (843), (847), (871), (1020), (1024) are
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #971.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1025)  all_25_10 = e13 & op1(e13, e11) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1025) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1026)  op1(e13, e11) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (1026) are inconsistent by
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1333.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1027)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (209), (214), (882), (1011), (1013),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1027) are inconsistent by sub-proof #969.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1028)  all_25_1 = e13 & op1(e14, e13) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (1028) are inconsistent by sub-proof
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1029)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e11) = e13) | (all_25_16 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1030)  all_25_4 = e13 & op1(e14, e12) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (1006), (1030) are inconsistent by
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1031)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e13 & op1(e14, e10) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1031) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1032)  all_25_9 = e13 & op1(e14, e11) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1032) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1033)  all_25_9 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1034)  op1(e14, e11) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1035)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1036)  all_25_0 = e10 & op1(e14, e14) = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1036) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1037)  all_25_0 = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1038)  op1(e14, e14) = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, e10, e14, e14,
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (227), (1038) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1039)  all_14_0 = e10
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (1039) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1040)   ~ (all_14_3 = e10)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1040) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1041)   ~ (all_14_3 = e10)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1039) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1042)   ~ (e12 = e10)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1043)  all_18_15 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (1043) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1044)  all_14_3 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1044) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1045)  all_14_3 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1045) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1046)   ~ (all_14_2 = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1045) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1047)   ~ (all_14_13 = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1047) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1048)   ~ (all_14_13 = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1049)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e13 & op1(e11, e13) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1049) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1050)  all_25_12 = e13 & op1(e11, e14) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1050) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1051)  all_25_12 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1052)  op1(e11, e14) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1053)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e12) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (32), (33), (43), (60), (224), (519),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (523), (707), (726), (728), (739), (742), (755),
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1033), (1037), (1053) are inconsistent by
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #966.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1054)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e13 & op1(e11, e12) = e13) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1055)  all_25_8 = e13 & op1(e12, e12) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1056)  all_25_8 = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1057)  op1(e12, e12) = e13
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1058)  all_20_5 = e23
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1058) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1059)  all_16_1 = e23
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1059) imply:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1060)  op2(e23, e24) = e23
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1061)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (48), (61), (635), (1060), (1061) are
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #964.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1062)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1062) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1063)  all_24_5 = e22 & op2(e23, e22) = e22
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (1063) are inconsistent by
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  (all_24_10 = e22 & op2(e23, e21) = e22) |
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  all_24_10 = e22 & op2(e23, e21) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1066)  op2(e23, e21) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (1066) are inconsistent
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1067)  all_24_17 = e22 & op2(e23, e20) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1067) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1068)  op2(e23, e20) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1069)  unit2 = e24
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1069) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1070)  op2(e20, e24) = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (980), (1070) are inconsistent by
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  unit2 = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1072) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  op2(e20, e22) = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (669), (1073) are inconsistent by
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  unit2 = e21 | unit2 = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1074) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  unit2 = e21
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1075) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1076)  op2(e20, e21) = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (329), (982), (1076) are inconsistent by
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #960.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1077)  unit2 = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1077) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1078)  op2(e23, e20) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, e23, e20, e23,
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1068), (1078) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1079)  e23 = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1079) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1080)  $false
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1080) is inconsistent.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1081)   ~ (all_20_5 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 |
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_20_5 = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (1081) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)   ~ (all_16_1 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_20_5 = e24
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1084) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_16_1 = e24
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1085) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)  $false
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1086) is inconsistent.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)   ~ (all_20_5 = e24)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1089) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  all_24_2 = e23 & op2(e23, e24) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1090) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  op2(e23, e24) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (347), (584), (629), (630), (1083), (1088),
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1091) are inconsistent by sub-proof #958.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_24_3 = e23 & op2(e23, e23) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1092) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  op2(e23, e23) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (48), (61), (1093) are inconsistent by
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  (all_24_5 = e23 & op2(e23, e22) = e23) |
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23) |
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1094) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_24_5 = e23 & op2(e23, e22) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1095) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  op2(e23, e22) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (1096) are inconsistent by
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)  (all_24_10 = e23 & op2(e23, e21) = e23) |
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1097) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)  all_24_10 = e23 & op2(e23, e21) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1098) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  op2(e23, e21) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (752), (1099) are inconsistent
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #957.
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_24_17 = e23 & op2(e23, e20) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_24_17 = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1102) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  all_24_2 = e22 & op2(e23, e24) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1103) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  all_24_2 = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1088) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  all_20_5 = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1105) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_16_1 = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)   ~ (all_16_2 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1107) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)   ~ (all_16_2 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)   ~ (all_16_3 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1109) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)   ~ (all_16_3 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (317), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)   ~ (all_16_4 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1111) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)   ~ (all_16_4 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)   ~ (all_16_21 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1113) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)   ~ (all_16_21 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)   ~ (all_12_2 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)   ~ (e24 = e22)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1106) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  op2(e23, e24) = e22
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_20_9 = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1118) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  all_16_21 = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (1119) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)   ~ (all_16_20 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (1119) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)   ~ (all_16_22 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1121) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)   ~ (all_16_22 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (1119) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)   ~ (all_16_23 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1123) implies:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)   ~ (all_16_23 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1119) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)   ~ (e24 = e23)
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (1119) imply:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  op2(e23, e20) = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_20_21 = e23
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1127) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  all_16_9 = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (1128) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)   ~ (all_16_4 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (1128) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)   ~ (all_16_7 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (1128) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)   ~ (all_16_8 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (1128) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)   ~ (all_16_14 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1132) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)   ~ (all_16_14 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (274), (1128) imply:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)   ~ (all_16_19 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1134) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)   ~ (all_16_19 = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (48), (49), (61), (1136) are
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #955.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  (all_24_7 = e23 & op2(e22, e23) = e23) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1137) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  all_24_7 = e23 & op2(e22, e23) = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (1130), (1138) are inconsistent by
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  (all_24_13 = e23 & op2(e21, e23) = e23) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_24_13 = e23 & op2(e21, e23) = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (1131), (1140) are inconsistent by
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #953.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_24_21 = e23 & op2(e20, e23) = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)  all_24_21 = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  op2(e20, e23) = e23
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1145)  all_25_9 = e10 & op1(e14, e11) = e10
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1033), (1145) are inconsistent by sub-proof #952.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1146)  all_25_10 = e10 & op1(e13, e11) = e10
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (1146) are inconsistent by sub-proof #1092.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1147)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1147) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1148)  all_25_11 = e10 & op1(e12, e11) = e10
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1148) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1149)  all_25_11 = e10
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1150)  op1(e12, e11) = e10
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1151)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1152)  all_25_6 = e12 & op1(e12, e14) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1152) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1153)  all_25_6 = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (28), (29), (30), (31), (32),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (205), (208),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (748), (755), (790), (818), (830),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (865), (870), (880), (882),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1013), (1037), (1048), (1153) are
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #945.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1154)  all_25_7 = e12 & op1(e12, e13) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1154) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1155)  op1(e12, e13) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (1155) are inconsistent by
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1156)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1157)  all_25_8 = e12 & op1(e12, e12) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1056), (1157) are inconsistent by sub-proof
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1158)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1159)  all_25_11 = e12 & op1(e12, e11) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (1149), (1159) are
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1160)  all_25_18 = e12 & op1(e12, e10) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1161)  all_25_18 = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1162)  op1(e12, e10) = e12
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1163)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1164)  all_25_6 = e11 & op1(e12, e14) = e11
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1164) implies:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1165)  all_25_6 = e11
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1166)  op1(e12, e14) = e11
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1167)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1167) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1168)  all_25_6 = e14 & op1(e12, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1165), (1168) are inconsistent by
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1007.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1169)  all_25_7 = e14 & op1(e12, e13) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1169) implies:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1170)  all_25_7 = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1171)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1172)  all_25_0 = e14 & op1(e14, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1173)  all_25_0 = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1037), (1173) imply:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1174)  e14 = e10
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1174) implies:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1175)  e14 = e10
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1170), (1175) imply:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1176)  all_25_7 = e10
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1176) are inconsistent by
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1177)  all_25_2 = e14 & op1(e13, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (707), (1177) are
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1178)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1179)  all_25_6 = e14 & op1(e12, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1180)  all_25_6 = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1165), (1180) imply:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1181)  e14 = e11
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1170), (1181) are inconsistent by
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #932.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1182)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1182) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1183)  all_25_12 = e14 & op1(e11, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1183) are inconsistent by
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #931.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1184)  all_25_20 = e14 & op1(e10, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1185)  all_25_20 = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1186)  op1(e10, e14) = e14
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1187)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (1187) are
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1188)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1188) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1189)  all_25_7 = e10 & op1(e12, e13) = e10
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1190)  all_25_7 = e10
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1190) are inconsistent by
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1191)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1192)  all_25_13 = e10 & op1(e11, e13) = e10
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1193)  op1(e11, e13) = e10
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1194)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1195)  all_25_1 = e14 & op1(e14, e13) = e14
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (522), (707),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (830), (843),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1013), (1037), (1048),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1165), (1185), (1195) are inconsistent by
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #929.
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1196)  all_25_3 = e14 & op1(e13, e13) = e14
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1196) implies:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1197)  all_25_3 = e14
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1197) imply:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1198)  e14 = e11
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1170), (1198) are inconsistent by
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #932.
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1169) implies:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  op1(e12, e13) = e14
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e14, e14, e10,
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (1186) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1201)  all_14_4 = e14
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_8, e10, e13, e11,
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (211), (1193) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1202)  all_14_8 = e10
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e12, e10, e12,
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (1162) gives:
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1203)  all_14_22 = e12
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 234.88/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_17, e10, e11, e12,
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (214), (1150) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)  all_14_17 = e10
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_7, e14, e13, e12,
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (216), (1200) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  all_14_7 = e14
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_2, e11, e14, e12,
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (217), (1166) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)  all_14_2 = e11
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1046), (1206) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)   ~ (e13 = e11)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1206) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)   ~ (e12 = e11)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (1202) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)   ~ (e11 = e10)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1204) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)   ~ (all_14_18 = e10)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)   ~ (all_14_18 = e10)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1204) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)   ~ (all_14_19 = e10)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (1213) are
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_25_8 = e12 & op1(e12, e12) = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1056), (1215) are inconsistent by sub-proof
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1216) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  all_25_14 = e12 & op1(e11, e12) = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1217) implies:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_25_14 = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_25_12 = e14 & op1(e11, e14) = e14
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1220) are inconsistent by
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #931.
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_25_13 = e14 & op1(e11, e13) = e14
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1221) are inconsistent by
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #928.
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e14 & op1(e11, e11) = e14) |
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  all_25_14 = e14 & op1(e11, e12) = e14
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1223) implies:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  all_25_14 = e14
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1218), (1224) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  e14 = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1225) implies:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  e14 = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1185), (1226) imply:
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  all_25_20 = e12
% 235.25/45.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (522), (707),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (830), (843),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1013), (1037), (1048),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1165), (1227) are inconsistent by sub-proof #930.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)  all_25_15 = e14 & op1(e11, e11) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)  op1(e11, e11) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (746), (1230) are inconsistent by
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_25_19 = e14 & op1(e11, e10) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1231) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  all_25_19 = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (28), (29), (30), (31), (32), (33),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (208), (209), (210),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (492), (508), (509), (510), (511), (512),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1013), (1048), (1051), (1162),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1232) are inconsistent by sub-proof #925.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  all_25_22 = e12 & op1(e10, e12) = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  op1(e10, e12) = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e11 & op1(e10, e13) = e11)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)  all_25_20 = e11 & op1(e10, e14) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1236) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  all_25_20 = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)  op1(e10, e14) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (29), (30), (31), (32), (33),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (205), (483), (484),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (728), (739), (748), (790),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (843), (847), (863), (865), (870), (880),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (882), (1237), (1238) are inconsistent by
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  all_25_21 = e11 & op1(e10, e13) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1051), (1239) are
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #924.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)  all_25_22 = e11 & op1(e10, e12) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (29), (43), (60), (204), (225),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (715), (818), (870), (1241) are
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  all_25_23 = e11 & op1(e10, e11) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1243) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_25_23 = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1245)  op1(e10, e11) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1246)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (224), (717), (1246) are
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1247)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1247) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1248)  all_25_11 = e12 & op1(e12, e11) = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1249)  all_25_11 = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1149), (1249) imply:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1250)  e12 = e10
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1161), (1250) imply:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1251)  all_25_18 = e10
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (28), (29), (30), (31), (32),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (223), (225),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (508), (509), (510), (511), (707),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (715), (719), (726), (728), (739), (818), (843),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (865), (870), (1251) are
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #923.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1252)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1252) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1253)  all_25_15 = e12 & op1(e11, e11) = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1253) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1254)  op1(e11, e11) = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e11, e11, e10,
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (1245) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1255)  all_14_19 = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_14, e12, e12, e10,
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (1234) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1256)  all_14_14 = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e12, e11, e11,
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (1254) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1257)  all_14_18 = e12
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1258)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e12) = e11)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1258) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1259)  all_25_4 = e11 & op1(e14, e12) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1259) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1260)  op1(e14, e12) = e11
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1261)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1262)  all_25_4 = e14 & op1(e14, e12) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (519), (707),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (748), (755), (790), (818),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (830), (843), (847), (863), (865), (870), (880),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (882), (883), (975), (1013), (1033), (1037),
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1051), (1165), (1262) are inconsistent by
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1263)  all_25_5 = e14 & op1(e13, e12) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1264)  op1(e13, e12) = e14
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (739), (1264) are inconsistent by
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1265)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1265) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1266)  all_25_8 = e14 & op1(e12, e12) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (1056), (1266) are inconsistent by sub-proof
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #918.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1267)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1267) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1268)  all_25_14 = e14 & op1(e11, e12) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1268) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1269)  op1(e11, e12) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1270)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1270) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1271)  all_25_0 = e14 & op1(e14, e14) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (1037), (1271) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1272)  all_25_1 = e14 & op1(e14, e13) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (1272) are inconsistent by sub-proof
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1273)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1274)  all_25_4 = e14 & op1(e14, e12) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (519), (707),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (748), (755), (790), (818),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (830), (843), (847), (863), (865), (870), (880),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (882), (883), (975), (1013), (1033), (1037),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1051), (1165), (1274) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1275)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1276)  all_25_9 = e14 & op1(e14, e11) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (1276) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1277)  all_25_16 = e14 & op1(e14, e10) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1277) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1278)  op1(e14, e10) = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1279)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e11 & op1(e13, e10) = e11)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1280)  all_25_16 = e11 & op1(e14, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1280) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1281)  op1(e14, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (728), (1278), (1281) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #917.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1282)  all_25_17 = e11 & op1(e13, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1283)  all_25_17 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (1283) imply:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1284)  e13 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1285)  e13 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1051), (1285) imply:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1286)  all_25_12 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1286) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #949.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1287)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1287) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1288)  all_25_18 = e11 & op1(e12, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1288) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1289)  op1(e12, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (1162), (1289) are inconsistent by
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1290)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1290) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1291)  all_25_19 = e11 & op1(e11, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1291) implies:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1292)  op1(e11, e10) = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_23, e11, e10, e11,
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (1292) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1293)  all_14_23 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_13, e14, e12, e11,
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (210), (1269) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1294)  all_14_13 = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_20, e14, e10, e14,
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (223), (1278) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1295)  all_14_20 = e14
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e11, e12, e14,
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (1260) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1296)  all_14_10 = e11
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1297)  ( ~ (all_26_220 = all_26_221) & h1(all_26_222) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_221 & h1(e14) = all_26_281 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_281) = all_26_220 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_220) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_221) & $i(all_26_222) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281)) | ( ~ (all_26_223 = all_26_224)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_225) = all_26_224 & h1(e14) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_281 & h1(e13) = all_26_285 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_285) = all_26_223 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_223) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_224) & $i(all_26_225) & $i(all_26_281)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285)) | ( ~ (all_26_226 =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_227) & h1(all_26_228) = all_26_227 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e12) = all_26_289 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_289) = all_26_226 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_226) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_227) & $i(all_26_228) & $i(all_26_281)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289)) | ( ~ (all_26_229 =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_230) & h1(all_26_231) = all_26_230 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e11) = all_26_293 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_293) = all_26_229 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_229) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_230) & $i(all_26_231) & $i(all_26_281)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_232 =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_233) & h1(all_26_234) = all_26_233 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e10) = all_26_297 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_297) = all_26_232 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_232) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_233) & $i(all_26_234) & $i(all_26_281)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_235 =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_236) & h1(all_26_237) = all_26_236 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_281) = all_26_235 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_235) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_236) & $i(all_26_237) & $i(all_26_281)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285)) | ( ~ (all_26_238 =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_239) & h1(all_26_240) = all_26_239 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & op2(all_26_285,
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_285) = all_26_238 & op1(e13, e13) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_240 & $i(all_26_238) & $i(all_26_239) &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_240) & $i(all_26_285)) | ( ~
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_241 = all_26_242) & h1(all_26_243) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_242 & h1(e13) = all_26_285 & h1(e12) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_285, all_26_289) =
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_241 & op1(e13, e12) = all_26_243 &
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_241) & $i(all_26_242) & $i(all_26_243)
% 235.25/45.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_289)) | ( ~
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_244 = all_26_245) & h1(all_26_246) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_245 & h1(e13) = all_26_285 & h1(e11) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_285, all_26_293) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_244 & op1(e13, e11) = all_26_246 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_244) & $i(all_26_245) & $i(all_26_246)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_293)) | ( ~
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_247 = all_26_248) & h1(all_26_249) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_248 & h1(e13) = all_26_285 & h1(e10) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & op2(all_26_285, all_26_297) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_247 & op1(e13, e10) = all_26_249 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_247) & $i(all_26_248) & $i(all_26_249)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_297)) | ( ~
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_250 = all_26_251) & h1(all_26_252) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_251 & h1(e14) = all_26_281 & h1(e12) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_281) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_250 & op1(e12, e14) = all_26_252 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_250) & $i(all_26_251) & $i(all_26_252)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_289)) | ( ~
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_253 = all_26_254) & h1(all_26_255) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_254 & h1(e13) = all_26_285 & h1(e12) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_285) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_253 & op1(e12, e13) = all_26_255 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_253) & $i(all_26_254) & $i(all_26_255)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_289))
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1298)  ( ~ (all_26_220 = all_26_221) & h1(all_26_222) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_221 & h1(e14) = all_26_281 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_281) = all_26_220 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_220) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_221) & $i(all_26_222) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281)) | ( ~ (all_26_223 = all_26_224)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_225) = all_26_224 & h1(e14) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_281 & h1(e13) = all_26_285 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_285) = all_26_223 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_223) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_224) & $i(all_26_225) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285)) | ( ~ (all_26_226 =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_227) & h1(all_26_228) = all_26_227 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e12) = all_26_289 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_289) = all_26_226 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_226) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_227) & $i(all_26_228) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289)) | ( ~ (all_26_229 =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_230) & h1(all_26_231) = all_26_230 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e11) = all_26_293 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_293) = all_26_229 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_229) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_230) & $i(all_26_231) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_232 =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_233) & h1(all_26_234) = all_26_233 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e10) = all_26_297 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_297) = all_26_232 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_232) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_233) & $i(all_26_234) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_235 =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_236) & h1(all_26_237) = all_26_236 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_281) = all_26_235 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_235) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_236) & $i(all_26_237) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285))
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1298) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1299)  ( ~ (all_26_220 = all_26_221) & h1(all_26_222) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_221 & h1(e14) = all_26_281 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_281) = all_26_220 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_220) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_221) & $i(all_26_222) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281)) | ( ~ (all_26_223 = all_26_224)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_225) = all_26_224 & h1(e14) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_281 & h1(e13) = all_26_285 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_285) = all_26_223 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_223) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_224) & $i(all_26_225) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285)) | ( ~ (all_26_226 =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_227) & h1(all_26_228) = all_26_227 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e12) = all_26_289 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_281, all_26_289) = all_26_226 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_226) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_227) & $i(all_26_228) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289))
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1299) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1300)   ~ (all_26_220 = all_26_221) & h1(all_26_222) =
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_221 & h1(e14) = all_26_281 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_281, all_26_281) = all_26_220 &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e14, e14) = all_26_222 & $i(all_26_220) &
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_221) & $i(all_26_222) & $i(all_26_281)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1300) implies:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1301)   ~ (all_26_220 = all_26_221)
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1302)  op1(e14, e14) = all_26_222
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1303)  op2(all_26_281, all_26_281) = all_26_220
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1304)  h1(e14) = all_26_281
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1305)  h1(all_26_222) = all_26_221
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_222, e14, e14,
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1038), (1302) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1306)  all_26_222 = e10
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1304) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1307)  all_26_281 = e20
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1306) imply:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1308)  h1(e10) = all_26_221
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1303), (1307) imply:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1309)  op2(e20, e20) = all_26_220
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_220, e20, e20,
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1309) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1310)  all_26_220 = e20
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_221, e10,
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1308) gives:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1311)  all_26_221 = e20
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1301), (1310), (1311) imply:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1312)  $false
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1312) is inconsistent.
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.25/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1313)  ( ~ (all_26_223 = all_26_224) & h1(all_26_225) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_224 & h1(e14) = all_26_281 & h1(e13) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & op2(all_26_281, all_26_285) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_223 & op1(e14, e13) = all_26_225 &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_223) & $i(all_26_224) & $i(all_26_225)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_285)) | ( ~
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_226 = all_26_227) & h1(all_26_228) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_227 & h1(e14) = all_26_281 & h1(e12) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_281, all_26_289) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_226 & op1(e14, e12) = all_26_228 &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_226) & $i(all_26_227) & $i(all_26_228)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_289))
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1313) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1314)   ~ (all_26_223 = all_26_224) & h1(all_26_225) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_224 & h1(e14) = all_26_281 & h1(e13) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_285 & op2(all_26_281, all_26_285) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_223 & op1(e14, e13) = all_26_225 &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_223) & $i(all_26_224) & $i(all_26_225) &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1315)   ~ (all_26_223 = all_26_224)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1316)  op1(e14, e13) = all_26_225
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1317)  op2(all_26_281, all_26_285) = all_26_223
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1318)  h1(e13) = all_26_285
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1319)  h1(e14) = all_26_281
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1320)  h1(all_26_225) = all_26_224
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_225, e13, e14,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (45), (1316) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1321)  all_26_225 = e12
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1318) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1322)  all_26_285 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1319) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1323)  all_26_281 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1321) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1324)  h1(e12) = all_26_224
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1317), (1322), (1323) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1325)  op2(e20, e20) = all_26_223
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_223, e20, e20,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1325) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1326)  all_26_223 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_224, e12,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1324) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1327)  all_26_224 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1315), (1326), (1327) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1328)  $false
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1328) is inconsistent.
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1329)   ~ (all_26_226 = all_26_227) & h1(all_26_228) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_227 & h1(e14) = all_26_281 & h1(e12) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_289 & op2(all_26_281, all_26_289) =
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_226 & op1(e14, e12) = all_26_228 &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_226) & $i(all_26_227) & $i(all_26_228) &
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_289)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1329) implies:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1330)   ~ (all_26_226 = all_26_227)
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1331)  op1(e14, e12) = all_26_228
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  op2(all_26_281, all_26_289) = all_26_226
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1333)  h1(e12) = all_26_289
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  h1(e14) = all_26_281
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  h1(all_26_228) = all_26_227
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_228, e12, e14,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1260), (1331) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  all_26_228 = e11
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1333) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  all_26_289 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1334) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  all_26_281 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1335), (1336) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  h1(e11) = all_26_227
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1332), (1337), (1338) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)  op2(e20, e20) = all_26_226
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_226, e20, e20,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1340) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  all_26_226 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_227, e11,
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1339) gives:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  all_26_227 = e20
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1330), (1341), (1342) imply:
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  $false
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1343) is inconsistent.
% 235.38/45.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  ( ~ (all_26_229 = all_26_230) & h1(all_26_231) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_230 & h1(e14) = all_26_281 & h1(e11) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_281, all_26_293) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_229 & op1(e14, e11) = all_26_231 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_229) & $i(all_26_230) & $i(all_26_231)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_293)) | ( ~
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_232 = all_26_233) & h1(all_26_234) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_233 & h1(e14) = all_26_281 & h1(e10) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & op2(all_26_281, all_26_297) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_232 & op1(e14, e10) = all_26_234 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_232) & $i(all_26_233) & $i(all_26_234)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_297)) | ( ~
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_235 = all_26_236) & h1(all_26_237) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_236 & h1(e14) = all_26_281 & h1(e13) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & op2(all_26_285, all_26_281) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_235 & op1(e13, e14) = all_26_237 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_235) & $i(all_26_236) & $i(all_26_237)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_285))
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)   ~ (all_26_229 = all_26_230) & h1(all_26_231) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_230 & h1(e14) = all_26_281 & h1(e11) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_281, all_26_293) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_229 & op1(e14, e11) = all_26_231 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_229) & $i(all_26_230) & $i(all_26_231) &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_293)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1345) implies:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)   ~ (all_26_229 = all_26_230)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  op1(e14, e11) = all_26_231
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  op2(all_26_281, all_26_293) = all_26_229
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)  h1(e11) = all_26_293
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)  h1(e14) = all_26_281
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1351)  h1(all_26_231) = all_26_230
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_231, e11, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1034), (1347) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1352)  all_26_231 = e13
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1349) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1353)  all_26_293 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1350) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1354)  all_26_281 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1351), (1352) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1355)  h1(e13) = all_26_230
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1348), (1353), (1354) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1356)  op2(e20, e20) = all_26_229
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_229, e20, e20,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1356) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1357)  all_26_229 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_230, e13,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1355) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1358)  all_26_230 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1346), (1357), (1358) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1359)  $false
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1359) is inconsistent.
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  ( ~ (all_26_232 = all_26_233) & h1(all_26_234) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_233 & h1(e14) = all_26_281 & h1(e10) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & op2(all_26_281, all_26_297) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_232 & op1(e14, e10) = all_26_234 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_232) & $i(all_26_233) & $i(all_26_234)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_297)) | ( ~
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_235 = all_26_236) & h1(all_26_237) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_236 & h1(e14) = all_26_281 & h1(e13) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & op2(all_26_285, all_26_281) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_235 & op1(e13, e14) = all_26_237 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_235) & $i(all_26_236) & $i(all_26_237)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_285))
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)   ~ (all_26_232 = all_26_233) & h1(all_26_234) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_233 & h1(e14) = all_26_281 & h1(e10) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_297 & op2(all_26_281, all_26_297) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_232 & op1(e14, e10) = all_26_234 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_232) & $i(all_26_233) & $i(all_26_234) &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_297)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1361) implies:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)   ~ (all_26_232 = all_26_233)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)  op1(e14, e10) = all_26_234
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)  op2(all_26_281, all_26_297) = all_26_232
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)  h1(e10) = all_26_297
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1366)  h1(e14) = all_26_281
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1367)  h1(all_26_234) = all_26_233
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_234, e10, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1278), (1363) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1368)  all_26_234 = e14
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1365) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1369)  all_26_297 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1366) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1370)  all_26_281 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1367), (1368) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1371)  h1(e14) = all_26_233
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1364), (1369), (1370) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1372)  op2(e20, e20) = all_26_232
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_232, e20, e20,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1372) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_26_232 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_233, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1371) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1374)  all_26_233 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1362), (1373), (1374) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1375)  $false
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1375) is inconsistent.
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1376)   ~ (all_26_235 = all_26_236) & h1(all_26_237) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_236 & h1(e14) = all_26_281 & h1(e13) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_285 & op2(all_26_285, all_26_281) =
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_235 & op1(e13, e14) = all_26_237 &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_235) & $i(all_26_236) & $i(all_26_237) &
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1377)   ~ (all_26_235 = all_26_236)
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1378)  op1(e13, e14) = all_26_237
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1379)  op2(all_26_285, all_26_281) = all_26_235
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1380)  h1(e13) = all_26_285
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1381)  h1(e14) = all_26_281
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1382)  h1(all_26_237) = all_26_236
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_237, e14, e13,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (863), (1378) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1383)  all_26_237 = e12
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1380) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  all_26_285 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1381) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1385)  all_26_281 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1382), (1383) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1386)  h1(e12) = all_26_236
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1379), (1384), (1385) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1387)  op2(e20, e20) = all_26_235
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_235, e20, e20,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1387) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1388)  all_26_235 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_236, e12,
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1386) gives:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1389)  all_26_236 = e20
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1377), (1388), (1389) imply:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1390)  $false
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1390) is inconsistent.
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1391)  ( ~ (all_26_238 = all_26_239) & h1(all_26_240) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_239 & h1(e13) = all_26_285 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_285) = all_26_238 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_238) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_239) & $i(all_26_240) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285)) | ( ~ (all_26_241 = all_26_242)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_243) = all_26_242 & h1(e13) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_289) = all_26_241 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_241) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_242) & $i(all_26_243) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289)) | ( ~ (all_26_244 =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_245) & h1(all_26_246) = all_26_245 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_293) = all_26_244 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_244) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_245) & $i(all_26_246) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_247 =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_248) & h1(all_26_249) = all_26_248 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e10) = all_26_297 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_297) = all_26_247 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e10) = all_26_249 & $i(all_26_247) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_248) & $i(all_26_249) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_250 =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_251) & h1(all_26_252) = all_26_251 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e12) = all_26_289 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_281) = all_26_250 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e14) = all_26_252 & $i(all_26_250) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_251) & $i(all_26_252) & $i(all_26_281)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289)) | ( ~ (all_26_253 =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_254) & h1(all_26_255) = all_26_254 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_285) = all_26_253 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e13) = all_26_255 & $i(all_26_253) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_254) & $i(all_26_255) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289))
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1392)  ( ~ (all_26_238 = all_26_239) & h1(all_26_240) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_239 & h1(e13) = all_26_285 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_285) = all_26_238 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_238) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_239) & $i(all_26_240) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285)) | ( ~ (all_26_241 = all_26_242)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_243) = all_26_242 & h1(e13) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_289) = all_26_241 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_241) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_242) & $i(all_26_243) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289)) | ( ~ (all_26_244 =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_245) & h1(all_26_246) = all_26_245 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_285, all_26_293) = all_26_244 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_244) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_245) & $i(all_26_246) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293))
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1393)   ~ (all_26_238 = all_26_239) & h1(all_26_240) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_239 & h1(e13) = all_26_285 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_285, all_26_285) = all_26_238 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e13, e13) = all_26_240 & $i(all_26_238) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_239) & $i(all_26_240) & $i(all_26_285)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1393) implies:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1394)   ~ (all_26_238 = all_26_239)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1395)  op1(e13, e13) = all_26_240
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1396)  op2(all_26_285, all_26_285) = all_26_238
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1397)  h1(e13) = all_26_285
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1398)  h1(all_26_240) = all_26_239
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_240, e13, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (1395) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1399)  all_26_240 = e11
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1397) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1400)  all_26_285 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1398), (1399) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1401)  h1(e11) = all_26_239
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1396), (1400) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1402)  op2(e20, e20) = all_26_238
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_238, e20, e20,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1402) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1403)  all_26_238 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_239, e11,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1401) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1404)  all_26_239 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1394), (1403), (1404) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1405)  $false
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1405) is inconsistent.
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1406)  ( ~ (all_26_241 = all_26_242) & h1(all_26_243) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_242 & h1(e13) = all_26_285 & h1(e12) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_285, all_26_289) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_241 & op1(e13, e12) = all_26_243 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_241) & $i(all_26_242) & $i(all_26_243)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_289)) | ( ~
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_244 = all_26_245) & h1(all_26_246) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_245 & h1(e13) = all_26_285 & h1(e11) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_285, all_26_293) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_244 & op1(e13, e11) = all_26_246 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_244) & $i(all_26_245) & $i(all_26_246)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_293))
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1406) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1407)   ~ (all_26_241 = all_26_242) & h1(all_26_243) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_242 & h1(e13) = all_26_285 & h1(e12) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_289 & op2(all_26_285, all_26_289) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_241 & op1(e13, e12) = all_26_243 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_241) & $i(all_26_242) & $i(all_26_243) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_289)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1407) implies:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1408)   ~ (all_26_241 = all_26_242)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1409)  op1(e13, e12) = all_26_243
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1410)  op2(all_26_285, all_26_289) = all_26_241
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1411)  h1(e12) = all_26_289
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1412)  h1(e13) = all_26_285
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1413)  h1(all_26_243) = all_26_242
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_243, e12, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (1409) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_26_243 = e10
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1411) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1415)  all_26_289 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1412) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1416)  all_26_285 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1413), (1414) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1417)  h1(e10) = all_26_242
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1415), (1416) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1418)  op2(e20, e20) = all_26_241
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_241, e20, e20,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1418) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1419)  all_26_241 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_242, e10,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1417) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  all_26_242 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1408), (1419), (1420) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1421)  $false
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1421) is inconsistent.
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1422)   ~ (all_26_244 = all_26_245) & h1(all_26_246) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_245 & h1(e13) = all_26_285 & h1(e11) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_285, all_26_293) =
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_244 & op1(e13, e11) = all_26_246 &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_244) & $i(all_26_245) & $i(all_26_246) &
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_293)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1422) implies:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1423)   ~ (all_26_244 = all_26_245)
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1424)  op1(e13, e11) = all_26_246
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  op2(all_26_285, all_26_293) = all_26_244
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  h1(e11) = all_26_293
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  h1(e13) = all_26_285
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)  h1(all_26_246) = all_26_245
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_246, e11, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (42), (1424) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  all_26_246 = e14
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1426) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  all_26_293 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1427) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)  all_26_285 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1428), (1429) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)  h1(e14) = all_26_245
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1425), (1430), (1431) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  op2(e20, e20) = all_26_244
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_244, e20, e20,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1433) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  all_26_244 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_245, e14,
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1432) gives:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  all_26_245 = e20
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1423), (1434), (1435) imply:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  $false
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1436) is inconsistent.
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)  ( ~ (all_26_247 = all_26_248) & h1(all_26_249) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_248 & h1(e13) = all_26_285 & h1(e10) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & op2(all_26_285, all_26_297) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_247 & op1(e13, e10) = all_26_249 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_247) & $i(all_26_248) & $i(all_26_249)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_297)) | ( ~
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_250 = all_26_251) & h1(all_26_252) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_251 & h1(e14) = all_26_281 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_281) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_250 & op1(e12, e14) = all_26_252 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_250) & $i(all_26_251) & $i(all_26_252)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_289)) | ( ~
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_253 = all_26_254) & h1(all_26_255) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_254 & h1(e13) = all_26_285 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_285) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_253 & op1(e12, e13) = all_26_255 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_253) & $i(all_26_254) & $i(all_26_255)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_289))
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1437) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)   ~ (all_26_247 = all_26_248) & h1(all_26_249) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_248 & h1(e13) = all_26_285 & h1(e10) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_297 & op2(all_26_285, all_26_297) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_247 & op1(e13, e10) = all_26_249 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_247) & $i(all_26_248) & $i(all_26_249) &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_297)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1438) implies:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)   ~ (all_26_247 = all_26_248)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)  op1(e13, e10) = all_26_249
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  op2(all_26_285, all_26_297) = all_26_247
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  h1(e10) = all_26_297
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  h1(e13) = all_26_285
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  h1(all_26_249) = all_26_248
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_249, e10, e13,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (844), (1440) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  all_26_249 = e13
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1442) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)  all_26_297 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1443) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)  all_26_285 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1444), (1445) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  h1(e13) = all_26_248
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1441), (1446), (1447) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  op2(e20, e20) = all_26_247
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_247, e20, e20,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1449) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  all_26_247 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_248, e13,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1448) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  all_26_248 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1439), (1450), (1451) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  $false
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1452) is inconsistent.
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  ( ~ (all_26_250 = all_26_251) & h1(all_26_252) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_251 & h1(e14) = all_26_281 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_281) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_250 & op1(e12, e14) = all_26_252 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_250) & $i(all_26_251) & $i(all_26_252)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_289)) | ( ~
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_253 = all_26_254) & h1(all_26_255) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_254 & h1(e13) = all_26_285 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & op2(all_26_289, all_26_285) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_253 & op1(e12, e13) = all_26_255 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_253) & $i(all_26_254) & $i(all_26_255)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_289))
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)   ~ (all_26_250 = all_26_251) & h1(all_26_252) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_251 & h1(e14) = all_26_281 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_289 & op2(all_26_289, all_26_281) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_250 & op1(e12, e14) = all_26_252 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_250) & $i(all_26_251) & $i(all_26_252) &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_289)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1454) implies:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)   ~ (all_26_250 = all_26_251)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)  op1(e12, e14) = all_26_252
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)  op2(all_26_289, all_26_281) = all_26_250
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)  h1(e12) = all_26_289
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  h1(e14) = all_26_281
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  h1(all_26_252) = all_26_251
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_252, e14, e12,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1166), (1456) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1461)  all_26_252 = e11
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1458) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1462)  all_26_289 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1459) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1463)  all_26_281 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1460), (1461) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1464)  h1(e11) = all_26_251
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1457), (1462), (1463) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1465)  op2(e20, e20) = all_26_250
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_250, e20, e20,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1465) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1466)  all_26_250 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_251, e11,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1464) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1467)  all_26_251 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1455), (1466), (1467) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  $false
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1468) is inconsistent.
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)   ~ (all_26_253 = all_26_254) & h1(all_26_255) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_254 & h1(e13) = all_26_285 & h1(e12) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_289 & op2(all_26_289, all_26_285) =
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_253 & op1(e12, e13) = all_26_255 &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_253) & $i(all_26_254) & $i(all_26_255) &
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_289)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1469) implies:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)   ~ (all_26_253 = all_26_254)
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)  op1(e12, e13) = all_26_255
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)  op2(all_26_289, all_26_285) = all_26_253
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  h1(e12) = all_26_289
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  h1(e13) = all_26_285
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  h1(all_26_255) = all_26_254
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_255, e13, e12,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1200), (1471) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1476)  all_26_255 = e14
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1473) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)  all_26_289 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1474) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  all_26_285 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1475), (1476) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1479)  h1(e14) = all_26_254
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1472), (1477), (1478) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1480)  op2(e20, e20) = all_26_253
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_253, e20, e20,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1480) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1481)  all_26_253 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_254, e14,
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1479) gives:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1482)  all_26_254 = e20
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1470), (1481), (1482) imply:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1483)  $false
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  ( ~ (all_26_256 = all_26_257) & h1(all_26_258) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_257 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_289) = all_26_256 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_256) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_257) & $i(all_26_258) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_289)) | ( ~ (all_26_259 = all_26_260)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_261) = all_26_260 & h1(e12) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_293) = all_26_259 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_259) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_260) & $i(all_26_261) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_262 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_263) & h1(all_26_264) = all_26_263 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_297) = all_26_262 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_262) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_263) & $i(all_26_264) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_265 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_266) & h1(all_26_267) = all_26_266 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_281) = all_26_265 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_265) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_266) & $i(all_26_267) & $i(all_26_281)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_268 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_269) & h1(all_26_270) = all_26_269 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_285) = all_26_268 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_268) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_269) & $i(all_26_270) & $i(all_26_285)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_271 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_272) & h1(all_26_273) = all_26_272 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_289) = all_26_271 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_271) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_272) & $i(all_26_273) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_274 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_275) & h1(all_26_276) = all_26_275 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & op2(all_26_293,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_293) = all_26_274 & op1(e11, e11) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_276 & $i(all_26_274) & $i(all_26_275) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_276) & $i(all_26_293)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e24) &  ~ (all_26_285 = e24) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e24) &  ~ (all_26_293 = e24) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e24) & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e23) &  ~ (all_26_285 = e23) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e23) &  ~ (all_26_293 = e23) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e23) & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e22) &  ~ (all_26_285 = e22) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e22) &  ~ (all_26_293 = e22) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e22) & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e21) &  ~ (all_26_285 = e21) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e21) &  ~ (all_26_293 = e21) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e21) & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e20) &  ~ (all_26_285 = e20) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e20) &  ~ (all_26_293 = e20) &  ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e20) & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | (h1(e10) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & $i(all_26_297) & (( ~ (all_26_277 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_278) & h1(all_26_279) = all_26_278
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_293,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_297) = all_26_277 & op1(e11, e10) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_277) & $i(all_26_278)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_279) & $i(all_26_293)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_282 & h1(e14) = all_26_281 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_281) = all_26_280 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_280)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_281) & $i(all_26_282) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_284 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_286) & h1(all_26_287) = all_26_286
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e13) = all_26_285 & op2(all_26_297,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_285) = all_26_284 & op1(e10, e13) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_284) & $i(all_26_285)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_286) & $i(all_26_287)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_290 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_289) = all_26_288 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_288)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_289) & $i(all_26_290) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_292 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_294) & h1(all_26_295) = all_26_294
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_297,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_293) = all_26_292 & op1(e10, e11) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_292) & $i(all_26_293)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_294) & $i(all_26_295)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_296 = all_26_298) & h1(all_26_299) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_298 & op2(all_26_297, all_26_297) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_296 & op1(e10, e10) = all_26_299 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_296) & $i(all_26_298) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1484) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  ( ~ (all_26_256 = all_26_257) & h1(all_26_258) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_257 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_289) = all_26_256 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_256) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_257) & $i(all_26_258) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_289)) | ( ~ (all_26_259 = all_26_260)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_261) = all_26_260 & h1(e12) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_293) = all_26_259 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_259) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_260) & $i(all_26_261) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_262 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_263) & h1(all_26_264) = all_26_263 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_297) = all_26_262 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_262) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_263) & $i(all_26_264) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_265 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_266) & h1(all_26_267) = all_26_266 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_281) = all_26_265 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_265) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_266) & $i(all_26_267) & $i(all_26_281)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_268 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_269) & h1(all_26_270) = all_26_269 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_285) = all_26_268 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_268) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_269) & $i(all_26_270) & $i(all_26_285)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_271 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_272) & h1(all_26_273) = all_26_272 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_289) = all_26_271 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_271) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_272) & $i(all_26_273) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293))
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1485) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  ( ~ (all_26_256 = all_26_257) & h1(all_26_258) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_257 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_289) = all_26_256 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_256) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_257) & $i(all_26_258) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_289)) | ( ~ (all_26_259 = all_26_260)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_261) = all_26_260 & h1(e12) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_289 & h1(e11) = all_26_293 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_293) = all_26_259 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_259) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_260) & $i(all_26_261) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293)) | ( ~ (all_26_262 =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_263) & h1(all_26_264) = all_26_263 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e10) = all_26_297 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_289, all_26_297) = all_26_262 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_262) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_263) & $i(all_26_264) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297))
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1486) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1487)   ~ (all_26_256 = all_26_257) & h1(all_26_258) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_257 & h1(e12) = all_26_289 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_289, all_26_289) = all_26_256 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e12, e12) = all_26_258 & $i(all_26_256) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_257) & $i(all_26_258) & $i(all_26_289)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1487) implies:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)   ~ (all_26_256 = all_26_257)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)  op1(e12, e12) = all_26_258
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)  op2(all_26_289, all_26_289) = all_26_256
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)  h1(e12) = all_26_289
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  h1(all_26_258) = all_26_257
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_258, e12, e12,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1057), (1489) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_26_258 = e13
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1491) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_26_289 = e20
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1492), (1493) imply:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)  h1(e13) = all_26_257
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1490), (1494) imply:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  op2(e20, e20) = all_26_256
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_256, e20, e20,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1496) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_26_256 = e20
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_257, e13,
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1495) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  all_26_257 = e20
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (1497), (1498) imply:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  $false
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1499) is inconsistent.
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  ( ~ (all_26_259 = all_26_260) & h1(all_26_261) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_260 & h1(e12) = all_26_289 & h1(e11) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_289, all_26_293) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_259 & op1(e12, e11) = all_26_261 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_259) & $i(all_26_260) & $i(all_26_261)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289) & $i(all_26_293)) | ( ~
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_262 = all_26_263) & h1(all_26_264) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_263 & h1(e12) = all_26_289 & h1(e10) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & op2(all_26_289, all_26_297) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_262 & op1(e12, e10) = all_26_264 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_262) & $i(all_26_263) & $i(all_26_264)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289) & $i(all_26_297))
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)   ~ (all_26_259 = all_26_260) & h1(all_26_261) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_260 & h1(e12) = all_26_289 & h1(e11) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_289, all_26_293) =
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_259 & op1(e12, e11) = all_26_261 &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_259) & $i(all_26_260) & $i(all_26_261) &
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_289) & $i(all_26_293)
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1501) implies:
% 235.38/45.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)   ~ (all_26_259 = all_26_260)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  op1(e12, e11) = all_26_261
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)  op2(all_26_289, all_26_293) = all_26_259
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  h1(e11) = all_26_293
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  h1(e12) = all_26_289
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  h1(all_26_261) = all_26_260
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_261, e11, e12,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1150), (1503) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  all_26_261 = e10
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1505) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_26_293 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1506) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_26_289 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1507), (1508) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  h1(e10) = all_26_260
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1504), (1509), (1510) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  op2(e20, e20) = all_26_259
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_259, e20, e20,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1512) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_26_259 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_260, e10,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1511) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  all_26_260 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1502), (1513), (1514) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  $false
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1515) is inconsistent.
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)   ~ (all_26_262 = all_26_263) & h1(all_26_264) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_263 & h1(e12) = all_26_289 & h1(e10) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_297 & op2(all_26_289, all_26_297) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_262 & op1(e12, e10) = all_26_264 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_262) & $i(all_26_263) & $i(all_26_264) &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_289) & $i(all_26_297)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1516) implies:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)   ~ (all_26_262 = all_26_263)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  op1(e12, e10) = all_26_264
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)  op2(all_26_289, all_26_297) = all_26_262
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  h1(e10) = all_26_297
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  h1(e12) = all_26_289
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  h1(all_26_264) = all_26_263
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_264, e10, e12,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1162), (1518) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_26_264 = e12
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1520) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  all_26_297 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1521) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)  all_26_289 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1523) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  h1(e12) = all_26_263
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1519), (1524), (1525) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  op2(e20, e20) = all_26_262
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_262, e20, e20,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1527) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  all_26_262 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_263, e12,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1526) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1529)  all_26_263 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1517), (1528), (1529) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1530)  $false
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1530) is inconsistent.
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  ( ~ (all_26_265 = all_26_266) & h1(all_26_267) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_266 & h1(e14) = all_26_281 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_293, all_26_281) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_265 & op1(e11, e14) = all_26_267 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_265) & $i(all_26_266) & $i(all_26_267)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_281) & $i(all_26_293)) | ( ~
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_268 = all_26_269) & h1(all_26_270) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_269 & h1(e13) = all_26_285 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_293, all_26_285) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_268 & op1(e11, e13) = all_26_270 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_268) & $i(all_26_269) & $i(all_26_270)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_293)) | ( ~
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_271 = all_26_272) & h1(all_26_273) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_272 & h1(e12) = all_26_289 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_293, all_26_289) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_271 & op1(e11, e12) = all_26_273 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_271) & $i(all_26_272) & $i(all_26_273)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289) & $i(all_26_293))
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1531) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)   ~ (all_26_265 = all_26_266) & h1(all_26_267) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_266 & h1(e14) = all_26_281 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_293, all_26_281) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_265 & op1(e11, e14) = all_26_267 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_265) & $i(all_26_266) & $i(all_26_267) &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_293)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1532) implies:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)   ~ (all_26_265 = all_26_266)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  op1(e11, e14) = all_26_267
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  op2(all_26_293, all_26_281) = all_26_265
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  h1(e11) = all_26_293
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  h1(e14) = all_26_281
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  h1(all_26_267) = all_26_266
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_267, e14, e11,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1052), (1534) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)  all_26_267 = e13
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1536) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)  all_26_293 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1537) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  all_26_281 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1538), (1539) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)  h1(e13) = all_26_266
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1535), (1540), (1541) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  op2(e20, e20) = all_26_265
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_265, e20, e20,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1543) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_26_265 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_266, e13,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1542) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)  all_26_266 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1533), (1544), (1545) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  $false
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1546) is inconsistent.
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)  ( ~ (all_26_268 = all_26_269) & h1(all_26_270) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_269 & h1(e13) = all_26_285 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_293, all_26_285) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_268 & op1(e11, e13) = all_26_270 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_268) & $i(all_26_269) & $i(all_26_270)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_285) & $i(all_26_293)) | ( ~
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_271 = all_26_272) & h1(all_26_273) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_272 & h1(e12) = all_26_289 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_293, all_26_289) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_271 & op1(e11, e12) = all_26_273 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_271) & $i(all_26_272) & $i(all_26_273)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_289) & $i(all_26_293))
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1547) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)   ~ (all_26_268 = all_26_269) & h1(all_26_270) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_269 & h1(e13) = all_26_285 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_293, all_26_285) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_268 & op1(e11, e13) = all_26_270 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_268) & $i(all_26_269) & $i(all_26_270) &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_293)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1548) implies:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)   ~ (all_26_268 = all_26_269)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  op1(e11, e13) = all_26_270
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  op2(all_26_293, all_26_285) = all_26_268
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)  h1(e11) = all_26_293
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  h1(e13) = all_26_285
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)  h1(all_26_270) = all_26_269
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_270, e13, e11,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1193), (1550) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)  all_26_270 = e10
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1552) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_26_293 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1553) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)  all_26_285 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1554), (1555) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)  h1(e10) = all_26_269
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1551), (1556), (1557) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)  op2(e20, e20) = all_26_268
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_268, e20, e20,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1559) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)  all_26_268 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_269, e10,
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1558) gives:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  all_26_269 = e20
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1560), (1561) imply:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  $false
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1562) is inconsistent.
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)   ~ (all_26_271 = all_26_272) & h1(all_26_273) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_272 & h1(e12) = all_26_289 & h1(e11) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_293 & op2(all_26_293, all_26_289) =
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_271 & op1(e11, e12) = all_26_273 &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_271) & $i(all_26_272) & $i(all_26_273) &
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_289) & $i(all_26_293)
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1563) implies:
% 235.38/45.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)   ~ (all_26_271 = all_26_272)
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  op1(e11, e12) = all_26_273
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  op2(all_26_293, all_26_289) = all_26_271
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)  h1(e11) = all_26_293
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)  h1(e12) = all_26_289
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)  h1(all_26_273) = all_26_272
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_273, e12, e11,
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1269), (1565) gives:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1570)  all_26_273 = e14
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1567) gives:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1571)  all_26_293 = e20
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1568) gives:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1572)  all_26_289 = e20
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (1570) imply:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1573)  h1(e14) = all_26_272
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1566), (1571), (1572) imply:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1574)  op2(e20, e20) = all_26_271
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_271, e20, e20,
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1574) gives:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1575)  all_26_271 = e20
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_272, e14,
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1573) gives:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1576)  all_26_272 = e20
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1564), (1575), (1576) imply:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1577)  $false
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1577) is inconsistent.
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.38/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1578)  ( ~ (all_26_274 = all_26_275) & h1(all_26_276) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_275 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_293) = all_26_274 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_274) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_275) & $i(all_26_276) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_293)) | ( ~ (all_26_281 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e24) &  ~ (all_26_289 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e24) &  ~ (all_26_297 = e24) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_281 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e23) &  ~ (all_26_289 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e23) &  ~ (all_26_297 = e23) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_281 = e22) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e22) &  ~ (all_26_289 = e22) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e22) &  ~ (all_26_297 = e22) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_281 = e21) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e21) &  ~ (all_26_289 = e21) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e21) &  ~ (all_26_297 = e21) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_281 = e20) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e20) &  ~ (all_26_289 = e20) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e20) &  ~ (all_26_297 = e20) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | (h1(e10) = all_26_297 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_297) & (( ~ (all_26_277 = all_26_278)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(all_26_279) = all_26_278 & h1(e11) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_293 & op2(all_26_293, all_26_297) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_277 & op1(e11, e10) = all_26_279 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_277) & $i(all_26_278) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_279) & $i(all_26_293)) | ( ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_282 & h1(e14) = all_26_281 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_281) = all_26_280 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_280)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_281) & $i(all_26_282) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_284 =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_286) & h1(all_26_287) = all_26_286
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e13) = all_26_285 & op2(all_26_297,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_285) = all_26_284 & op1(e10, e13) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_284) & $i(all_26_285)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_286) & $i(all_26_287)) | ( ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_290 & h1(e12) = all_26_289 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_289) = all_26_288 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_288)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_289) & $i(all_26_290) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_292 =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_294) & h1(all_26_295) = all_26_294
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_297,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_293) = all_26_292 & op1(e10, e11) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_292) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_294) & $i(all_26_295)) | ( ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_296 = all_26_298) & h1(all_26_299) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_298 & op2(all_26_297, all_26_297) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_296 & op1(e10, e10) = all_26_299 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_296) & $i(all_26_298) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1579)  ( ~ (all_26_274 = all_26_275) & h1(all_26_276) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_275 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_293) = all_26_274 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_274) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_275) & $i(all_26_276) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_293)) | ( ~ (all_26_281 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e24) &  ~ (all_26_289 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e24) &  ~ (all_26_297 = e24) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297)) | ( ~ (all_26_281 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_285 = e23) &  ~ (all_26_289 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_293 = e23) &  ~ (all_26_297 = e23) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e14) = all_26_281 & h1(e13) = all_26_285 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e12) = all_26_289 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e10) = all_26_297 & $i(all_26_281) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_285) & $i(all_26_289) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_297))
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1580)   ~ (all_26_274 = all_26_275) & h1(all_26_276) =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_275 & h1(e11) = all_26_293 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_293, all_26_293) = all_26_274 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e11) = all_26_276 & $i(all_26_274) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_275) & $i(all_26_276) & $i(all_26_293)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1580) implies:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1581)   ~ (all_26_274 = all_26_275)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1582)  op1(e11, e11) = all_26_276
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1583)  op2(all_26_293, all_26_293) = all_26_274
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1584)  h1(e11) = all_26_293
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1585)  h1(all_26_276) = all_26_275
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_276, e11, e11,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1254), (1582) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1586)  all_26_276 = e12
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1584) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1587)  all_26_293 = e20
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (1586) imply:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1588)  h1(e12) = all_26_275
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1583), (1587) imply:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1589)  op2(e20, e20) = all_26_274
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_274, e20, e20,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1589) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1590)  all_26_274 = e20
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_275, e12,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1588) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1591)  all_26_275 = e20
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1581), (1590), (1591) imply:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1592)  $false
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1592) is inconsistent.
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1593)  ( ~ (all_26_281 = e24) &  ~ (all_26_285 = e24) & 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_289 = e24) &  ~ (all_26_293 = e24) & 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_297 = e24) & h1(e14) = all_26_281 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e23) &  ~ (all_26_285 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e23) &  ~ (all_26_293 = e23) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e23) & h1(e14) = all_26_281 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297))
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1593) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1594)   ~ (all_26_281 = e24) &  ~ (all_26_285 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_289 = e24) &  ~ (all_26_293 = e24) &  ~
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_297 = e24) & h1(e14) = all_26_281 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_297)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1594) implies:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1595)   ~ (all_26_297 = e24)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1596)  h1(e10) = all_26_297
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1596) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  all_26_297 = e20
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  all_20_14 = e23
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (1598) imply:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_16_22 = e23
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1122), (1599) imply:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  $false
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1600) is inconsistent.
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)   ~ (all_20_14 = e23)
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 =
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 | all_20_14 = e20
% 235.62/45.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (20), (21),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (37), (38), (39), (42),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (49), (59),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (61), (63), (64), (66), (73), (74), (75),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (100), (103), (104), (105), (231), (236),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (237), (242), (243), (249), (250), (252), (255),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (276), (278), (281),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (304), (305), (306), (307), (308),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (310), (311), (312), (329), (330), (332), (333),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (337), (338), (339), (341), (342),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (349), (350), (419), (422), (424),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (430), (431), (435), (436), (438),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (439), (440), (442), (443), (444), (445), (446),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (448), (449), (450), (451), (452), (453),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (455), (456), (457), (458), (459), (460),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (469), (470), (471), (472), (475), (476), (477),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (478), (528), (566), (569), (570), (571), (573),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (586), (587), (617), (619), (621), (622),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (624), (626), (628), (629), (630), (632), (633),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (637), (639), (643), (645), (647), (649),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (651), (654), (656), (659), (660), (662), (663),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (665), (667), (669), (671), (677), (679), (681),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (682), (684), (685), (687), (689), (691), (694),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (696), (698), (751), (752), (798), (803), (807),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (809), (812), (815), (821), (822), (844), (863),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (866), (883), (977), (978), (980), (982), (983),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (984), (985), (1034), (1038), (1052), (1057),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1083), (1088), (1101), (1104), (1108), (1110),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1112), (1117), (1120), (1122), (1124), (1126),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1129), (1130), (1131), (1133), (1135), (1142),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1143), (1150), (1162), (1166), (1186), (1193),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1200), (1234), (1245), (1254), (1260), (1269),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1278), (1292), (1602) are inconsistent by
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #490.
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)   ~ (all_26_281 = e23) &  ~ (all_26_285 = e23) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_289 = e23) &  ~ (all_26_293 = e23) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_297 = e23) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_297)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)   ~ (all_26_297 = e23)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  h1(e10) = all_26_297
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1605) gives:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  all_26_297 = e20
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1604), (1606) imply:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)   ~ (e23 = e20)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (20), (21),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (37), (38), (39), (42),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (49), (59),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (61), (63), (64), (66), (73), (74), (75),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (100), (103), (104), (105), (231), (236),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (237), (242), (243), (249), (250), (252), (255),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (276), (278), (281),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (304), (305), (306), (307), (308),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (310), (311), (312), (329), (330), (332), (333),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (337), (338), (339), (341), (342),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (349), (350), (419), (422), (423),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (424), (425), (429), (430), (431), (435), (436),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (447), (448), (449), (450), (451), (452),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (453), (454), (455), (456), (457), (458), (459),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (469), (470), (471), (472), (475), (476),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (528), (566), (569), (570), (571),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (573), (584), (586), (587), (617), (619), (621),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (622), (624), (626), (628), (629), (630), (632),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (633), (635), (637), (639), (643), (645), (647),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (654), (656), (659), (660), (662),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (663), (665), (667), (669), (671), (677), (679),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (681), (682), (684), (685), (687), (689), (691),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (694), (696), (698), (751), (752), (798), (803),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (809), (812), (815), (821), (822), (844),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (866), (883), (977), (978), (980), (982),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (983), (984), (985), (1034), (1038), (1052),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1057), (1083), (1088), (1101), (1104), (1108),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1110), (1112), (1117), (1120), (1122), (1124),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1126), (1129), (1130), (1131), (1133), (1135),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1142), (1143), (1150), (1162), (1166), (1186),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1193), (1200), (1234), (1245), (1254), (1260),
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1269), (1278), (1292) are inconsistent by
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  ( ~ (all_26_281 = e22) &  ~ (all_26_285 = e22) & 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_289 = e22) &  ~ (all_26_293 = e22) & 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_297 = e22) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e21) &  ~ (all_26_285 = e21) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e21) &  ~ (all_26_293 = e21) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e21) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e20) &  ~ (all_26_285 = e20) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e20) &  ~ (all_26_293 = e20) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e20) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | (h1(e10) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & $i(all_26_297) & (( ~ (all_26_277 =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_278) & h1(all_26_279) = all_26_278
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_293,
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_297) = all_26_277 & op1(e11, e10) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_277) & $i(all_26_278)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_279) & $i(all_26_293)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_282 & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_281) = all_26_280 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_280)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_281) & $i(all_26_282) &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_284 =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_286) & h1(all_26_287) = all_26_286
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e13) = all_26_285 & op2(all_26_297,
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_285) = all_26_284 & op1(e10, e13) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_284) & $i(all_26_285)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_286) & $i(all_26_287)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_290 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_289) = all_26_288 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_288)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_289) & $i(all_26_290) &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_292 =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_294) & h1(all_26_295) = all_26_294
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_297,
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_293) = all_26_292 & op1(e10, e11) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_292) & $i(all_26_293)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_294) & $i(all_26_295)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_296 = all_26_298) & h1(all_26_299) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_298 & op2(all_26_297, all_26_297) =
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_296 & op1(e10, e10) = all_26_299 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_296) & $i(all_26_298) &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  ( ~ (all_26_281 = e22) &  ~ (all_26_285 = e22) & 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_289 = e22) &  ~ (all_26_293 = e22) & 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_297 = e22) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | ( ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_281 = e21) &  ~ (all_26_285 = e21) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_289 = e21) &  ~ (all_26_293 = e21) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_297 = e21) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297))
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1609) gives:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)   ~ (all_26_281 = e22) &  ~ (all_26_285 = e22) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_289 = e22) &  ~ (all_26_293 = e22) &  ~
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_297 = e22) & h1(e14) = all_26_281 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_297)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1610) implies:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)   ~ (all_26_297 = e22)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)  h1(e10) = all_26_297
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1612) gives:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)  all_26_297 = e20
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1611), (1613) imply:
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)   ~ (e22 = e20)
% 235.62/45.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (20), (21),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (37), (38), (39), (42),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (49), (59),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (61), (63), (64), (66), (73), (74), (75),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (100), (103), (104), (105), (231), (236),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (237), (242), (243), (249), (250), (252), (255),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (276), (278), (281),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (304), (305), (306), (307), (308),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (310), (311), (312), (329), (330), (332), (333),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (337), (338), (339), (341), (342),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (349), (350), (419), (422), (423),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (424), (425), (429), (430), (431), (435), (436),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (447), (448), (449), (450), (451), (452),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (453), (454), (455), (456), (457), (458), (459),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (469), (470), (471), (472), (475), (476),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (528), (566), (569), (570), (571),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (573), (584), (586), (587), (617), (619), (621),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (622), (624), (626), (628), (629), (630), (632),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (633), (635), (637), (639), (643), (645), (647),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (654), (656), (659), (660), (662),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (663), (665), (667), (669), (671), (677), (679),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (681), (682), (684), (685), (687), (689), (691),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (694), (696), (698), (751), (752), (798), (803),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (809), (812), (815), (821), (822), (844),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (866), (883), (977), (978), (980), (982),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (983), (984), (985), (1034), (1038), (1052),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1057), (1083), (1088), (1101), (1104), (1108),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1110), (1112), (1117), (1120), (1122), (1124),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1126), (1129), (1130), (1131), (1133), (1135),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1142), (1143), (1150), (1162), (1166), (1186),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1193), (1200), (1234), (1245), (1254), (1260),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1269), (1278), (1292) are inconsistent by
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)   ~ (all_26_281 = e21) &  ~ (all_26_285 = e21) &  ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_289 = e21) &  ~ (all_26_293 = e21) &  ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_297 = e21) & h1(e14) = all_26_281 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_297)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1615) implies:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)   ~ (all_26_297 = e21)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)  h1(e10) = all_26_297
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1617) gives:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)  all_26_297 = e20
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1616), (1618) imply:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1619)   ~ (e21 = e20)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (20), (21),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (37), (38), (39), (42),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (49), (59),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (61), (63), (64), (66), (73), (74), (75),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (100), (103), (104), (105), (231), (236),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (237), (242), (243), (249), (250), (252), (255),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (276), (278), (281),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (304), (305), (306), (307), (308),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (310), (311), (312), (329), (330), (332), (333),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (337), (338), (339), (341), (342),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (349), (350), (419), (422), (423),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (424), (425), (429), (430), (431), (435), (436),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (447), (448), (449), (450), (451), (452),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (453), (454), (455), (456), (457), (458), (459),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (469), (470), (471), (472), (475), (476),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (528), (566), (569), (570), (571),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (573), (584), (586), (587), (617), (619), (621),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (622), (624), (626), (628), (629), (630), (632),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (633), (635), (637), (639), (643), (645), (647),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (654), (656), (659), (660), (662),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (663), (665), (667), (669), (671), (677), (679),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (681), (682), (684), (685), (687), (689), (691),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (694), (696), (698), (751), (752), (798), (803),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (809), (812), (815), (821), (822), (844),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (866), (883), (977), (978), (980), (982),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (983), (984), (985), (1034), (1038), (1052),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1057), (1083), (1088), (1101), (1104), (1108),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1110), (1112), (1117), (1120), (1122), (1124),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1126), (1129), (1130), (1131), (1133), (1135),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1142), (1143), (1150), (1162), (1166), (1186),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1193), (1200), (1234), (1245), (1254), (1260),
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1269), (1278), (1292) are inconsistent by
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1620)  ( ~ (all_26_281 = e20) &  ~ (all_26_285 = e20) & 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_289 = e20) &  ~ (all_26_293 = e20) & 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_297 = e20) & h1(e14) = all_26_281 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_285) & $i(all_26_289)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_293) & $i(all_26_297)) | (h1(e10) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_297 & $i(all_26_297) & (( ~ (all_26_277 =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_278) & h1(all_26_279) = all_26_278
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_293,
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_297) = all_26_277 & op1(e11, e10) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_277) & $i(all_26_278)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_279) & $i(all_26_293)) | ( ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_282 & h1(e14) = all_26_281 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_281) = all_26_280 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_280)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_281) & $i(all_26_282) &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_284 =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_286) & h1(all_26_287) = all_26_286
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e13) = all_26_285 & op2(all_26_297,
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_285) = all_26_284 & op1(e10, e13) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_284) & $i(all_26_285)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_286) & $i(all_26_287)) | ( ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_290 & h1(e12) = all_26_289 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_297, all_26_289) = all_26_288 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_288)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_289) & $i(all_26_290) &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_292 =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_294) & h1(all_26_295) = all_26_294
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h1(e11) = all_26_293 & op2(all_26_297,
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_293) = all_26_292 & op1(e10, e11) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_292) & $i(all_26_293)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_294) & $i(all_26_295)) | ( ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_296 = all_26_298) & h1(all_26_299) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_298 & op2(all_26_297, all_26_297) =
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_296 & op1(e10, e10) = all_26_299 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_296) & $i(all_26_298) &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1621)   ~ (all_26_281 = e20) &  ~ (all_26_285 = e20) &  ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_289 = e20) &  ~ (all_26_293 = e20) &  ~
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_297 = e20) & h1(e14) = all_26_281 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e13) = all_26_285 & h1(e12) = all_26_289 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h1(e11) = all_26_293 & h1(e10) = all_26_297 &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_285) & $i(all_26_289) &
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_297)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1621) implies:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1622)   ~ (all_26_285 = e20)
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1623)  h1(e13) = all_26_285
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1623) gives:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1624)  all_26_285 = e20
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1624) imply:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  $false
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1625) is inconsistent.
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.62/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  h1(e10) = all_26_297 & $i(all_26_297) & (( ~
% 235.73/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_277 = all_26_278) & h1(all_26_279) =
% 235.73/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_278 & h1(e11) = all_26_293 &
% 235.73/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_293, all_26_297) = all_26_277 &
% 235.73/45.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e11, e10) = all_26_279 & $i(all_26_277) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_278) & $i(all_26_279) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_293)) | ( ~ (all_26_280 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_282) & h1(all_26_283) = all_26_282 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h1(e14) = all_26_281 & op2(all_26_297,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_281) = all_26_280 & op1(e10, e14) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_283 & $i(all_26_280) & $i(all_26_281) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_282) & $i(all_26_283)) | ( ~
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_284 = all_26_286) & h1(all_26_287) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_286 & h1(e13) = all_26_285 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_297, all_26_285) = all_26_284 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e13) = all_26_287 & $i(all_26_284) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_285) & $i(all_26_286) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_287)) | ( ~ (all_26_288 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_290) & h1(all_26_291) = all_26_290 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h1(e12) = all_26_289 & op2(all_26_297,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_289) = all_26_288 & op1(e10, e12) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_291 & $i(all_26_288) & $i(all_26_289) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_290) & $i(all_26_291)) | ( ~
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_292 = all_26_294) & h1(all_26_295) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_294 & h1(e11) = all_26_293 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_297, all_26_293) = all_26_292 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e11) = all_26_295 & $i(all_26_292) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_293) & $i(all_26_294) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_295)) | ( ~ (all_26_296 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_298) & h1(all_26_299) = all_26_298 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_297, all_26_297) = all_26_296 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e10) = all_26_299 & $i(all_26_296) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_298) & $i(all_26_299)))
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1626) implies:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1627)  h1(e10) = all_26_297
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  ( ~ (all_26_277 = all_26_278) & h1(all_26_279) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_278 & h1(e11) = all_26_293 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_297) = all_26_277 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_277) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_278) & $i(all_26_279) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_293)) | ( ~ (all_26_280 = all_26_282)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_283) = all_26_282 & h1(e14) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_281 & op2(all_26_297, all_26_281) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_280 & op1(e10, e14) = all_26_283 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_280) & $i(all_26_281) & $i(all_26_282)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_284 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_286) & h1(all_26_287) = all_26_286 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & op2(all_26_297,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_285) = all_26_284 & op1(e10, e13) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_284) & $i(all_26_285) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_286) & $i(all_26_287)) | ( ~
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_290 & h1(e12) = all_26_289 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_289) = all_26_288 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_288) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_289) & $i(all_26_290) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_292 = all_26_294)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_295) = all_26_294 & h1(e11) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_297, all_26_293) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_292 & op1(e10, e11) = all_26_295 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_292) & $i(all_26_293) & $i(all_26_294)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_296 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_298) & h1(all_26_299) = all_26_298 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_297) = all_26_296 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_296) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_298) & $i(all_26_299))
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_297, e10,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1627) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  all_26_297 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  ( ~ (all_26_277 = all_26_278) & h1(all_26_279) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_278 & h1(e11) = all_26_293 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_293, all_26_297) = all_26_277 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_277) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_278) & $i(all_26_279) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_293)) | ( ~ (all_26_280 = all_26_282)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_283) = all_26_282 & h1(e14) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_281 & op2(all_26_297, all_26_281) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_280 & op1(e10, e14) = all_26_283 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_280) & $i(all_26_281) & $i(all_26_282)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_284 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_286) & h1(all_26_287) = all_26_286 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h1(e13) = all_26_285 & op2(all_26_297,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_285) = all_26_284 & op1(e10, e13) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_284) & $i(all_26_285) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_286) & $i(all_26_287))
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1630) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)   ~ (all_26_277 = all_26_278) & h1(all_26_279) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_278 & h1(e11) = all_26_293 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_293, all_26_297) = all_26_277 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e10) = all_26_279 & $i(all_26_277) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_278) & $i(all_26_279) & $i(all_26_293)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1631) implies:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)   ~ (all_26_277 = all_26_278)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)  op1(e11, e10) = all_26_279
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)  op2(all_26_293, all_26_297) = all_26_277
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  h1(e11) = all_26_293
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  h1(all_26_279) = all_26_278
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1634) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  op2(all_26_293, e20) = all_26_277
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_279, e10, e11,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1292), (1633) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)  all_26_279 = e11
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1635) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)  all_26_293 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1636), (1638) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)  h1(e11) = all_26_278
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1637), (1639) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  op2(e20, e20) = all_26_277
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_277, e20, e20,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1641) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)  all_26_277 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_278, e11,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1640) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  all_26_278 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1632), (1642), (1643) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  $false
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1644) is inconsistent.
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  ( ~ (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_282 & h1(e14) = all_26_281 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_281) = all_26_280 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e14) = all_26_283 & $i(all_26_280) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_281) & $i(all_26_282) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_283)) | ( ~ (all_26_284 = all_26_286)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_287) = all_26_286 & h1(e13) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_285 & op2(all_26_297, all_26_285) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_284 & op1(e10, e13) = all_26_287 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_284) & $i(all_26_285) & $i(all_26_286)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_287))
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)   ~ (all_26_280 = all_26_282) & h1(all_26_283) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_282 & h1(e14) = all_26_281 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_297, all_26_281) = all_26_280 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e14) = all_26_283 & $i(all_26_280) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_281) & $i(all_26_282) & $i(all_26_283)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1646) implies:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)   ~ (all_26_280 = all_26_282)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  op1(e10, e14) = all_26_283
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)  op2(all_26_297, all_26_281) = all_26_280
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)  h1(e14) = all_26_281
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)  h1(all_26_283) = all_26_282
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1649) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)  op2(e20, all_26_281) = all_26_280
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_283, e14, e10,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1186), (1648) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  all_26_283 = e14
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_281, e14,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1650) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)  all_26_281 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1651), (1653) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)  h1(e14) = all_26_282
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1652), (1654) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)  op2(e20, e20) = all_26_280
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_280, e20, e20,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1656) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)  all_26_280 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_282, e14,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (989), (1655) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)  all_26_282 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1647), (1657), (1658) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)  $false
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1659) is inconsistent.
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)   ~ (all_26_284 = all_26_286) & h1(all_26_287) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_286 & h1(e13) = all_26_285 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_297, all_26_285) = all_26_284 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e13) = all_26_287 & $i(all_26_284) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_285) & $i(all_26_286) & $i(all_26_287)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1660) implies:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)   ~ (all_26_284 = all_26_286)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)  op1(e10, e13) = all_26_287
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  op2(all_26_297, all_26_285) = all_26_284
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  h1(e13) = all_26_285
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  h1(all_26_287) = all_26_286
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1663) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  op2(e20, all_26_285) = all_26_284
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_287, e13, e10,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (883), (1662) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_26_287 = e13
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_285, e13,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1664) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)  all_26_285 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1667) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  h1(e13) = all_26_286
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1666), (1668) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  op2(e20, e20) = all_26_284
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_284, e20, e20,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1670) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_26_284 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_286, e13,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (1669) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_26_286 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1661), (1671), (1672) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  $false
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1673) is inconsistent.
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  ( ~ (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_290 & h1(e12) = all_26_289 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_289) = all_26_288 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_288) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_289) & $i(all_26_290) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_292 = all_26_294)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_295) = all_26_294 & h1(e11) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_293 & op2(all_26_297, all_26_293) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_292 & op1(e10, e11) = all_26_295 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_292) & $i(all_26_293) & $i(all_26_294)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_296 =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_298) & h1(all_26_299) = all_26_298 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_297) = all_26_296 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_296) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_298) & $i(all_26_299))
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)   ~ (all_26_288 = all_26_290) & h1(all_26_291) =
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_290 & h1(e12) = all_26_289 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_297, all_26_289) = all_26_288 &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e12) = all_26_291 & $i(all_26_288) &
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_289) & $i(all_26_290) & $i(all_26_291)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1675) implies:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)   ~ (all_26_288 = all_26_290)
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  op1(e10, e12) = all_26_291
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  op2(all_26_297, all_26_289) = all_26_288
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  h1(e12) = all_26_289
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  h1(all_26_291) = all_26_290
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1678) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  op2(e20, all_26_289) = all_26_288
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_291, e12, e10,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1234), (1677) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  all_26_291 = e12
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_289, e12,
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1679) gives:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  all_26_289 = e20
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1680), (1682) imply:
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  h1(e12) = all_26_290
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1681), (1683) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  op2(e20, e20) = all_26_288
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_288, e20, e20,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1685) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  all_26_288 = e20
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_290, e12,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (992), (1684) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  all_26_290 = e20
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1676), (1686), (1687) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  $false
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1688) is inconsistent.
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  ( ~ (all_26_292 = all_26_294) & h1(all_26_295) =
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_294 & h1(e11) = all_26_293 &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_297, all_26_293) = all_26_292 &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e11) = all_26_295 & $i(all_26_292) &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_293) & $i(all_26_294) &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_295)) | ( ~ (all_26_296 = all_26_298)
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h1(all_26_299) = all_26_298 & op2(all_26_297,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_297) = all_26_296 & op1(e10, e10) =
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_299 & $i(all_26_296) & $i(all_26_298) &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_299))
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)   ~ (all_26_292 = all_26_294) & h1(all_26_295) =
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_294 & h1(e11) = all_26_293 &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_297, all_26_293) = all_26_292 &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e11) = all_26_295 & $i(all_26_292) &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_293) & $i(all_26_294) & $i(all_26_295)
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1690) implies:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)   ~ (all_26_292 = all_26_294)
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  op1(e10, e11) = all_26_295
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  op2(all_26_297, all_26_293) = all_26_292
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  h1(e11) = all_26_293
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  h1(all_26_295) = all_26_294
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1693) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  op2(e20, all_26_293) = all_26_292
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_295, e11, e10,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1245), (1692) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_26_295 = e11
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_293, e11,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1694) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  all_26_293 = e20
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1695), (1697) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  h1(e11) = all_26_294
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1696), (1698) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  op2(e20, e20) = all_26_292
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_292, e20, e20,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1700) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_26_292 = e20
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_294, e11,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (986), (1699) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  all_26_294 = e20
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1701), (1702) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  $false
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1703) is inconsistent.
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)   ~ (all_26_296 = all_26_298) & h1(all_26_299) =
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_298 & op2(all_26_297, all_26_297) =
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_296 & op1(e10, e10) = all_26_299 &
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_296) & $i(all_26_298) & $i(all_26_299)
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1704) implies:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)   ~ (all_26_296 = all_26_298)
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  op1(e10, e10) = all_26_299
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  op2(all_26_297, all_26_297) = all_26_296
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  h1(all_26_299) = all_26_298
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1707) imply:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)  op2(e20, e20) = all_26_296
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_299, e10, e10,
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (866), (1706) gives:
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  all_26_299 = e10
% 235.73/45.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_26_296, e20, e20,
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (978), (1709) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_26_296 = e20
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1705), (1711) imply:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)   ~ (all_26_298 = e20)
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1712) implies:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)   ~ (all_26_298 = e20)
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1708), (1710) imply:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  h1(e10) = all_26_298
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e20, all_26_298, e10,
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (995), (1714) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  all_26_298 = e20
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1713), (1715) imply:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)  $false
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1716) is inconsistent.
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)  all_25_24 = e11 & op1(e10, e10) = e11
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (865), (1717) are inconsistent by sub-proof
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1201.
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)  all_25_22 = e14 & op1(e10, e12) = e14
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  all_25_22 = e14
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  op1(e10, e12) = e14
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e12 & op1(e10, e13) = e12)
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  all_25_20 = e12 & op1(e10, e14) = e12
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1722) implies:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)  all_25_20 = e12
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  all_25_0 = e11 & op1(e14, e14) = e11
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (1037), (1725) are inconsistent by
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1222.
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  all_25_2 = e11 & op1(e13, e14) = e11
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (1726) are inconsistent by sub-proof
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1727) gives:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (522), (707),
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (830), (843),
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1013), (1037), (1048),
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1165), (1723) are inconsistent by sub-proof #930.
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.73/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1728) gives:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_25_12 = e11 & op1(e11, e14) = e11
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1729) implies:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  all_25_12 = e11
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1730) are inconsistent by
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #949.
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  all_25_20 = e11 & op1(e10, e14) = e11
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1731) implies:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  op1(e10, e14) = e11
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (29), (31), (43), (60),
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (707), (818), (863), (870), (1720), (1732)
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1203.
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  all_25_21 = e12 & op1(e10, e13) = e12
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (206), (713), (1733) are inconsistent by
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1734) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (1233), (1719) are inconsistent by sub-proof
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1735) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_25_23 = e12 & op1(e10, e11) = e12
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1736) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)  all_25_23 = e12
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e11 & op1(e10, e13) = e11)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1738) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  all_25_20 = e11 & op1(e10, e14) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1739) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  op1(e10, e14) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (29), (31), (43), (60),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (707), (818), (863), (870), (1720), (1740)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1203.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  all_25_21 = e11 & op1(e10, e13) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1741) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_25_21 = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (975), (1742) imply:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  e13 = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1051), (1743) imply:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  all_25_12 = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1744) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #949.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  all_25_22 = e11 & op1(e10, e12) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (29), (43), (60), (204), (225),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (715), (818), (870), (1745) are
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (1243), (1737) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  all_25_24 = e11 & op1(e10, e10) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (865), (1746) are inconsistent by sub-proof
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1201.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)  all_25_24 = e12 & op1(e10, e10) = e12
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (865), (1747) are
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1261.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  all_25_5 = e11 & op1(e13, e12) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (726), (1748) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e11 & op1(e11, e12) = e11) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)  all_25_8 = e11 & op1(e12, e12) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1051), (1056), (1750) are
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1751) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  all_25_14 = e11 & op1(e11, e12) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1752) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  all_25_14 = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1754) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_25_12 = e14 & op1(e11, e14) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1755) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #931.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  all_25_13 = e14 & op1(e11, e13) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1756) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #928.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e14 & op1(e11, e11) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1757) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  all_25_14 = e14 & op1(e11, e12) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1753), (1758) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1076.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  all_25_15 = e14 & op1(e11, e11) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1760) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  op1(e11, e11) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (746), (1761) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  all_25_19 = e14 & op1(e11, e10) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1762) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  all_25_19 = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (28), (29), (30), (31), (32), (33),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (208), (209), (210),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (492), (508), (509), (510), (511), (512),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1013), (1048), (1051), (1162),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1763) are inconsistent by sub-proof #925.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  all_25_22 = e11 & op1(e10, e12) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (29), (43), (60), (204), (225),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (715), (818), (870), (1764) are
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)  all_25_23 = e12 & op1(e10, e11) = e12
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (1244), (1765) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1035.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)  all_25_24 = e11 & op1(e10, e10) = e11
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (865), (1766) are inconsistent by sub-proof
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1201.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)  all_25_13 = e14 & op1(e11, e13) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1768) are inconsistent by
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #928.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  all_25_21 = e14 & op1(e10, e13) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1769) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  op1(e10, e13) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (205), (483), (510), (511), (728), (739),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (843), (847), (865), (880), (882), (1185),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1770) are inconsistent by sub-proof #1182.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)  all_25_21 = e10 & op1(e10, e13) = e10
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1771) are inconsistent by sub-proof #1256.
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1772) gives:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)  all_25_8 = e14 & op1(e12, e12) = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1773) implies:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)  all_25_8 = e14
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1056), (1774) imply:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)  e14 = e13
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1775) imply:
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  $false
% 236.21/45.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1776) is inconsistent.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1777) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)  all_25_11 = e14 & op1(e12, e11) = e14
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (1778) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)  all_25_18 = e14 & op1(e12, e10) = e14
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (1161), (1779) are inconsistent by sub-proof
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)  all_25_7 = e11 & op1(e12, e13) = e11
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1780) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)  all_25_7 = e11
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1781) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #933.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)  all_25_8 = e11 & op1(e12, e12) = e11
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1013), (1048), (1051), (1056), (1783) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (726), (1149), (1162), (1784) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #487.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1785) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_25_15 = e10 & op1(e11, e11) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1786) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)  all_25_15 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)  op1(e11, e11) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e10, e11, e11,
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (1788) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)  all_14_18 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1789) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)   ~ (all_14_19 = e10)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e12, e13) = e10)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  all_25_6 = e10 & op1(e12, e14) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1792) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_25_6 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (28), (29), (30), (31), (32),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (748), (755), (790), (818), (830),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (865), (870), (880), (882),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1013), (1037), (1048), (1793) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #922.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)  all_25_7 = e10 & op1(e12, e13) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1794) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)  all_25_7 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1013), (1037),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1048), (1056), (1795) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e10 & op1(e12, e11) = e10) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  all_25_8 = e10 & op1(e12, e12) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1056), (1797) are inconsistent by sub-proof #486.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)  all_25_11 = e10 & op1(e12, e11) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1799) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)  all_25_11 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (224), (492),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (496), (508), (509), (510), (511), (512),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (717), (726), (728), (739), (755),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (759), (790), (830), (843), (847), (883), (975),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1013), (1033), (1048), (1051), (1787), (1800) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #485.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)  all_25_18 = e10 & op1(e12, e10) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1801) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)  all_25_18 = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (28), (29), (30), (31), (32),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (223), (225),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (508), (509), (510), (511), (707),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (715), (719), (726), (728), (739), (818), (843),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (865), (870), (1802) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #923.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_25_23 = e10 & op1(e10, e11) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1803) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)  op1(e10, e11) = e10
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (870), (1804) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1267.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)   ~ (all_20_21 = e23)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1805) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)   ~ (all_16_9 = e23)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (22), (35), (39), (46), (47), (61),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (752), (822), (980), (1806) are
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #482.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  all_20_9 = e24 | all_20_9 = e22 | all_20_9 = e21 |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_20_9 = e20
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_20_9 = e24
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1808) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_16_21 = e24
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1809) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  all_16_21 = e24
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1810) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)  $false
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1811) is inconsistent.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)  all_20_9 = e22 | all_20_9 = e21 | all_20_9 = e20
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  all_20_9 = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1813) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  all_16_21 = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1814) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)  all_16_21 = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1114), (1815) imply:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  $false
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1816) is inconsistent.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  all_20_9 = e21 | all_20_9 = e20
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (658), (673), (1817) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #481.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  all_20_5 = e21 | all_20_5 = e20
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (629), (630), (1818) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #959.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1819)  all_24_3 = e22 & op2(e23, e23) = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (635), (1819) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1331.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1820)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1821)  all_24_5 = e22 & op2(e23, e22) = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (1821) are inconsistent by
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1822)  (all_24_10 = e22 & op2(e23, e21) = e22) |
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1822) gives:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1823)  all_24_10 = e22 & op2(e23, e21) = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1824)  op2(e23, e21) = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (1824) are inconsistent
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1825)  all_24_17 = e22 & op2(e23, e20) = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1825) implies:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1826)  all_24_17 = e22
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1083),
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1088), (1826) are inconsistent by sub-proof #855.
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1827)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (210), (880), (1048), (1827) are
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1243.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1828)  all_25_13 = e13 & op1(e11, e13) = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1829)  all_25_13 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1829) are inconsistent by
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1247.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1830)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e13 & op1(e11, e10) = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (208), (209), (210), (830), (1013), (1048),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1830) are inconsistent by sub-proof #950.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1831)   ~ (all_18_15 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (1831) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1832)   ~ (all_14_3 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (60), (120),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (134), (184), (186), (204), (205), (206), (208),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (212), (214), (216), (217),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (481), (482), (483), (484),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (488), (489), (490), (491), (492),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (495), (496), (499), (500), (501), (504),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (505), (507), (508), (509), (510), (511), (512),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (516), (518), (519), (520), (522), (523),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (713), (715), (717), (719),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (723), (726), (728), (735), (739), (742),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (744), (746), (748), (755), (759), (790), (818),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (830), (843), (847), (856), (863), (865), (870),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (882), (883), (975), (1013), (1033), (1037),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1832) are inconsistent by sub-proof #445.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1833)  all_25_1 = e10 & op1(e14, e13) = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (1833) are
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1834)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (510), (511), (728), (731), (739),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (843), (847), (871), (1033), (1834) are
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #971.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1835)  all_25_16 = e13 & op1(e14, e10) = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (223), (826), (1835) are inconsistent by
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1295.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1836)   ~ (all_18_3 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1836) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1837)   ~ (all_14_15 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (45), (60),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (119), (120), (121), (126), (127), (128),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (134), (146), (154), (161), (199),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (204), (205), (206), (207), (208), (209),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (212), (213), (214), (216), (217),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (227), (381), (432), (481),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (482), (483), (484), (485), (486), (488), (489),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (492), (493), (495), (496), (497),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (499), (500), (501), (503), (504), (505), (506),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (507), (508), (509), (510), (511), (512), (515),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (516), (517), (518), (519), (521), (523), (535),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (713), (715), (717), (719),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (723), (726), (728), (731), (735), (739),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (744), (746), (748), (755), (759), (790),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (826), (830), (843), (844), (847), (854),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (865), (868), (871), (872), (873), (878),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1006), (1837) are
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #385.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1838)  ((all_24_16 = e20 & op2(e24, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_17 = e20 & op2(e23, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_18 = e20 & op2(e22, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_19 = e20 & op2(e21, e20) = e20)) &
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_24_20 = e20 & op2(e20, e24) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_21 = e20 & op2(e20, e23) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_22 = e20 & op2(e20, e22) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_24_23 = e20 & op2(e20, e21) = e20))
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1838) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1839)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e20 & op2(e20, e22) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1841)  all_18_2 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1841) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1842)  all_14_10 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1842) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1843)   ~ (all_14_12 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1843) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1844)   ~ (all_14_12 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1842) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1845)   ~ (all_14_13 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1845) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1846)   ~ (all_14_13 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1842) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1847)   ~ (all_14_15 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1847) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1848)   ~ (all_14_15 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1842) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1849)   ~ (all_14_20 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (45), (60),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (114), (120), (121), (128), (129), (136),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (153), (155), (158), (161), (176), (178), (180),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (181), (183), (184), (185), (188), (196), (200),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (204), (205), (206), (207), (208), (209),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (212), (213), (214), (215), (216),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (223), (224), (225), (227), (387), (432),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (481), (482), (483), (484), (485), (486), (488),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (490), (491), (493), (494), (495), (496),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (497), (499), (500), (501), (502), (503), (504),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (505), (506), (507), (508), (509), (510), (511),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (520),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (523), (543), (707), (709), (711),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (713), (715), (717), (719), (721), (723), (726),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (735), (739), (742), (744), (746), (748),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (826), (828), (830),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (854), (856), (858), (863),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (865), (870), (871), (872), (873), (880), (882),
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1844), (1846), (1848) are
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #974.
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1850)   ~ (all_18_2 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1850) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1851)   ~ (all_14_10 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1852)  all_18_3 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1852) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  all_14_15 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (1853) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1854)   ~ (all_14_0 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1853) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)   ~ (all_14_17 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1855) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)   ~ (all_14_17 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1853) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)   ~ (all_14_18 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1857) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1858)   ~ (all_14_18 = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1859)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1860)  all_25_9 = e13 & op1(e14, e11) = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1861)  all_25_9 = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1862)  op1(e14, e11) = e13
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1863)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1863) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1864)  all_25_0 = e10 & op1(e14, e14) = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1865)  all_25_0 = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1866)  op1(e14, e14) = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, e10, e14, e14,
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (227), (1866) gives:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1867)  all_14_0 = e10
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (1867) imply:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1868)   ~ (all_14_3 = e10)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1868) implies:
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)   ~ (all_14_3 = e10)
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1867) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)   ~ (e12 = e10)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  all_18_15 = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (1871) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  all_14_3 = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1872) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  all_14_3 = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1873) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)   ~ (all_14_2 = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1873) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1875)   ~ (all_14_13 = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1875) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1876)   ~ (all_14_13 = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (520) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1877)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e14) = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (1865), (1877) are inconsistent by
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1878)  (all_25_6 = e13 & op1(e12, e14) = e13) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e13 & op1(e11, e14) = e13) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1878) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1879)  all_25_6 = e13 & op1(e12, e14) = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (217), (1874), (1879) are inconsistent by
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1029.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1880)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1881)  all_25_12 = e13 & op1(e11, e14) = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1882)  all_25_12 = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1883)  op1(e11, e14) = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1884)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e12) = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (32), (33), (43), (60), (224), (519),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (523), (707), (726), (728), (739), (742), (755),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1861), (1865), (1884) are inconsistent by
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #966.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1885)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e13 & op1(e11, e12) = e13) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1885) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1886)  all_25_8 = e13 & op1(e12, e12) = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1886) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1887)  all_25_8 = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1888)  op1(e12, e12) = e13
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1889)  all_20_9 = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1889) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1890)  all_16_21 = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (1890) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1891)   ~ (all_16_1 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (1890) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1892)   ~ (all_16_20 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (1890) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1893)   ~ (all_16_22 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1893) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1894)   ~ (all_16_22 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (1890) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1895)   ~ (all_16_23 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1895) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1896)   ~ (all_16_23 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1890) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1897)   ~ (e24 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1898)  all_20_5 = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1898) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1899)  all_16_1 = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1891), (1899) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1900)  $false
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1900) is inconsistent.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1901)   ~ (all_20_5 = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1902)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_20_5 = e20
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1903)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1903) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1904)  all_24_2 = e23 & op2(e23, e24) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1904) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1905)  op2(e23, e24) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1906)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (48), (61), (635), (1905), (1906) are
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #964.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1907)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (464), (584), (629), (630),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (631), (752), (1891), (1902), (1907) are
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #384.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1908)  all_24_3 = e23 & op2(e23, e23) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1908) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1909)  op2(e23, e23) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (48), (61), (1909) are inconsistent by
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1910)  (all_24_5 = e23 & op2(e23, e22) = e23) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1911)  all_24_5 = e23 & op2(e23, e22) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1911) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1912)  op2(e23, e22) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (1912) are inconsistent by
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1913)  (all_24_10 = e23 & op2(e23, e21) = e23) |
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1914)  all_24_10 = e23 & op2(e23, e21) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1915)  op2(e23, e21) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (752), (1915) are inconsistent
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #957.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1916)  all_24_17 = e23 & op2(e23, e20) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1916) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1917)  all_24_17 = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1918)  op2(e23, e20) = e23
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1919)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1920)  all_24_2 = e22 & op2(e23, e24) = e22
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1920) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1921)  all_24_2 = e22
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1902) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1922)  all_20_5 = e24
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1922) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1923)  all_16_1 = e24
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1923) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1924)  $false
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1924) is inconsistent.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1925)   ~ (all_20_5 = e24)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1926)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1927)  all_20_5 = e22
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1927) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1928)  all_16_1 = e22
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1929)   ~ (all_16_2 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1929) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1930)   ~ (all_16_2 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1931)   ~ (all_16_3 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1931) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1932)   ~ (all_16_3 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (317), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1933)   ~ (all_16_4 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1933) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1934)   ~ (all_16_4 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1935)   ~ (all_12_2 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1936)   ~ (e24 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1891), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1937)   ~ (e23 = e22)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1928) imply:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1938)  op2(e23, e24) = e22
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1939)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e12, e13) = e10)
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1939) gives:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1940)  all_25_6 = e10 & op1(e12, e14) = e10
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1940) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_25_6 = e10
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (28), (29), (30), (31), (32),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (748), (755), (790), (818), (830),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (865), (870), (880), (882),
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1858), (1865), (1876), (1941) are
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #922.
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1942)  all_25_7 = e10 & op1(e12, e13) = e10
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1942) implies:
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1943)  all_25_7 = e10
% 236.21/45.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1858), (1865),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1876), (1887), (1943) are inconsistent by
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1944)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e10 & op1(e12, e11) = e10) |
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1944) gives:
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1945)  all_25_8 = e10 & op1(e12, e12) = e10
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1887), (1945) are inconsistent by sub-proof #486.
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1946)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.21/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1947)  all_25_11 = e10 & op1(e12, e11) = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1947) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1948)  all_25_11 = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1949)  op1(e12, e11) = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1950)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  all_25_6 = e12 & op1(e12, e14) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1951) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  all_25_6 = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (28), (29), (30), (31), (32),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (205), (208),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (748), (755), (790), (818), (830),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (865), (870), (880), (882),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (883), (975), (1858), (1865), (1876), (1952) are
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #945.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  all_25_7 = e12 & op1(e12, e13) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  op1(e12, e13) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (1954) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_25_8 = e12 & op1(e12, e12) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1887), (1956) are inconsistent by sub-proof
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)  all_25_11 = e12 & op1(e12, e11) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (1948), (1958) are
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  all_25_18 = e12 & op1(e12, e10) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1959) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_25_18 = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  op1(e12, e10) = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)  all_25_6 = e11 & op1(e12, e14) = e11
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1963) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  all_25_6 = e11
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  op1(e12, e14) = e11
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1966) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  all_25_0 = e14 & op1(e14, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (1865), (1967) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  all_25_2 = e14 & op1(e13, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (707), (1968) are
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1969) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_25_6 = e14 & op1(e12, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1964), (1970) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1007.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1971) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)  all_25_12 = e14 & op1(e11, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1876), (1972) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #931.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)  all_25_20 = e14 & op1(e10, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1973) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)  all_25_20 = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1975)  op1(e10, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)  all_25_6 = e14 & op1(e12, e14) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1964), (1977) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1007.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)  all_25_7 = e14 & op1(e12, e13) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1978) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  op1(e12, e13) = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (1980) are
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  all_25_7 = e10 & op1(e12, e13) = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1982) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)  all_25_7 = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1858), (1865),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1876), (1887), (1983) are inconsistent by
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  all_25_13 = e10 & op1(e11, e13) = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_25_13 = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  op1(e11, e13) = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e14, e14, e10,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (1975) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  all_14_4 = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_8, e10, e13, e11,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (211), (1987) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)  all_14_8 = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e12, e10, e12,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (1961) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)  all_14_22 = e12
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_17, e10, e11, e12,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (214), (1949) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_14_17 = e10
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_7, e14, e13, e12,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (216), (1979) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)  all_14_7 = e14
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_2, e11, e14, e12,
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (217), (1965) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  all_14_2 = e11
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1874), (1993) imply:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)   ~ (e13 = e11)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1993) imply:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)   ~ (e12 = e11)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (1989) imply:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)   ~ (e11 = e10)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1991) imply:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)   ~ (all_14_19 = e10)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e11 & op1(e13, e10) = e11)
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)  all_25_16 = e11 & op1(e14, e10) = e11
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (29), (31), (43), (60), (204),
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (818), (863), (870), (1999) are
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #941.
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)  all_25_17 = e11 & op1(e13, e10) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1876), (1882), (2000) are
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #927.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2001) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)  all_25_18 = e11 & op1(e12, e10) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2002) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)  op1(e12, e10) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (1961), (2003) are inconsistent by
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)  all_25_19 = e11 & op1(e11, e10) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2005) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  all_25_19 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  op1(e11, e10) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e14 & op1(e13, e10) = e14)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2008) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)  all_25_16 = e14 & op1(e14, e10) = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2009) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)  all_25_16 = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)  op1(e14, e10) = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e13) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2012) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)  all_25_0 = e11 & op1(e14, e14) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2013) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)  all_25_0 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1865), (2014) imply:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)  e11 = e10
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (42), (43), (44),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (485), (488), (510), (707), (726), (728),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (843), (847), (865), (1960), (1961),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2006), (2015) are inconsistent by sub-proof #403.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  all_25_1 = e11 & op1(e14, e13) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (755), (2016) are inconsistent by sub-proof
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_25_4 = e11 & op1(e14, e12) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2018) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  all_25_4 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)  op1(e14, e12) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (728), (739), (2019), (2021) are
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #383.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2022) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  all_25_8 = e14 & op1(e12, e12) = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2023) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)  all_25_8 = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1887), (2024) imply:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)  e14 = e13
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (1865), (2010), (2019), (2025) are
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #452.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2026) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)  all_25_14 = e14 & op1(e11, e12) = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2027) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  all_25_14 = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)  op1(e11, e12) = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e12 & op1(e11, e13) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2030) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)  all_25_12 = e12 & op1(e11, e14) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2031) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)  all_25_12 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1882), (2032) imply:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)  e13 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2033) imply:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)  $false
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  all_25_13 = e12 & op1(e11, e13) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2035) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  all_25_13 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (2036) are inconsistent by
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)  all_25_14 = e12 & op1(e11, e12) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (2028), (2038) are inconsistent by sub-proof
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  all_25_15 = e12 & op1(e11, e11) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  all_25_15 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  op1(e11, e11) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (2043) are
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  all_25_8 = e12 & op1(e12, e12) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1887), (2045) are inconsistent by sub-proof
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  all_25_14 = e12 & op1(e11, e12) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (2028), (2047) are inconsistent by sub-proof
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  all_25_22 = e12 & op1(e10, e12) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2048) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  op1(e10, e12) = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2050) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_25_9 = e11 & op1(e14, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1861), (1876), (1882), (2051) are
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #920.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_25_10 = e11 & op1(e13, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (2052) are inconsistent by sub-proof
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  all_25_11 = e11 & op1(e12, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2054) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_25_11 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1948), (2055) imply:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  e11 = e10
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (42), (43), (44),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (485), (488), (510), (707), (726), (728),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (843), (847), (865), (1960), (1961),
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2006), (2056) are inconsistent by sub-proof #403.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)  all_25_15 = e11 & op1(e11, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (2041), (2058) are inconsistent by
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)  all_25_23 = e11 & op1(e10, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)  op1(e10, e11) = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e11, e11, e10,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (2060) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)  all_14_19 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_14, e12, e12, e10,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (2049) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_14_14 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_23, e11, e10, e11,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (2007) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  all_14_23 = e11
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e12, e11, e11,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (2042) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_14_18 = e12
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_13, e14, e12, e11,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (210), (2029) gives:
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  all_14_13 = e14
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_20, e14, e10, e14,
% 236.40/45.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (223), (2011) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)  all_14_20 = e14
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e11, e12, e14,
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (2020) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)  all_14_10 = e11
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_20_16 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (2068) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  all_16_8 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (2069) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)   ~ (all_16_9 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2070) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)   ~ (all_16_9 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (35), (37), (39), (46), (47), (61),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (752), (822), (1938), (2071) are
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #381.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)   ~ (all_20_16 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2072) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)   ~ (all_16_8 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  all_20_11 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2074) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  all_16_7 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (2075) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)   ~ (all_16_9 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2076) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)   ~ (all_16_9 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (35), (37), (39), (46), (47), (61),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (752), (822), (1938), (2077) are
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #381.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)   ~ (all_20_11 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2078) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)   ~ (all_16_7 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (48), (49), (61), (2080) are
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #955.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)  (all_24_7 = e23 & op2(e22, e23) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  all_24_7 = e23 & op2(e22, e23) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (2079), (2082) are inconsistent by
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  (all_24_13 = e23 & op2(e21, e23) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2083) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  all_24_13 = e23 & op2(e21, e23) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (2073), (2084) are inconsistent by
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #953.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  all_24_21 = e23 & op2(e20, e23) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)  all_24_21 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)  op2(e20, e23) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_9, e23, e23, e20,
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (2087) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2088)  all_16_9 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (2088) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2089)   ~ (all_16_4 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (2088) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2090)   ~ (all_16_14 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2090) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2091)   ~ (all_16_14 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (2088) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2092)   ~ (all_8_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2092) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2093)   ~ (all_8_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2094)  all_20_3 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2094) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2095)  all_16_15 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2096)   ~ (all_16_10 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2097)   ~ (all_16_17 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2098)   ~ (all_16_17 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2099)   ~ (all_16_19 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2099) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2100)   ~ (all_16_19 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2101)   ~ (all_16_20 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2102)   ~ (all_12_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2102) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2103)   ~ (all_12_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2095) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2104)   ~ (all_6_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2105)   ~ (all_6_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2106)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2106) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2107)  all_24_9 = e23 & op2(e24, e21) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2108)  all_24_9 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2109)  op2(e24, e21) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2110)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e22, e23) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2111)  all_24_6 = e23 & op2(e22, e24) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2112)  all_24_6 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2113)  op2(e22, e24) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e23, e24, e22,
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (2113) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2114)  all_16_2 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (311), (2114) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2115)   ~ (all_16_4 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (2114) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2116)   ~ (all_16_7 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (2114) imply:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2117)   ~ (all_4_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2117) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2118)   ~ (all_4_2 = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2119)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e22) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (350), (2096), (2119) are
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2120)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e23 & op2(e21, e22) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2121)  all_24_8 = e23 & op2(e22, e22) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (2118), (2121) are inconsistent by
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #669.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2122)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2123)  all_24_14 = e23 & op2(e21, e22) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2123) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2124)  all_24_14 = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  op2(e21, e22) = e23
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2126)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2127)  all_24_1 = e20 & op2(e24, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (2127) are inconsistent by
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  all_24_3 = e20 & op2(e23, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (2128) are inconsistent by
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  all_24_7 = e20 & op2(e22, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2130) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)  all_24_7 = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)  op2(e22, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (36), (37), (38),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (63), (64),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (66), (73), (74), (76), (83), (242), (280),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (281), (284), (299), (329), (330), (332), (336),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (338), (339), (341), (347), (348), (349), (350),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (436), (438), (439), (440), (443), (444),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (445), (448), (449), (450), (452), (453), (454),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (457), (458), (460), (462), (463), (464),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (470), (471), (477),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (478), (584), (629), (630), (635), (637), (639),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (643), (647), (649), (651), (656), (659), (662),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (663), (669), (671), (677), (679), (681), (684),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (687), (691), (702), (752), (798), (803), (807),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (1891), (1894), (1917), (1921),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (1934), (1938), (2073), (2079), (2086),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2089), (2091), (2096), (2098), (2100), (2108),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2112), (2113), (2118), (2124), (2125), (2131),
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2132) are inconsistent by sub-proof #340.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2133) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_24_13 = e20 & op2(e21, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2135)  all_24_13 = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2136)  op2(e21, e23) = e20
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2137)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2138)  all_24_1 = e24 & op2(e24, e23) = e24
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (2138) are inconsistent by sub-proof
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2139)  all_24_3 = e24 & op2(e23, e23) = e24
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (2139) are inconsistent by sub-proof
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2140)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2140) gives:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2141)  all_24_7 = e24 & op2(e22, e23) = e24
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2141) implies:
% 236.40/45.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_24_7 = e24
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  op2(e22, e23) = e24
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e20, e23, e21,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (2136) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)  all_16_8 = e20
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e24, e23, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (2143) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)  all_16_7 = e24
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2145) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)   ~ (all_4_2 = e24)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2146) implies:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)   ~ (all_4_2 = e24)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (2144) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)   ~ (all_6_2 = e20)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2148) implies:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)   ~ (all_6_2 = e20)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (2144) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)   ~ (e23 = e20)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (2144) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)   ~ (e22 = e20)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (2144) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)   ~ (e21 = e20)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (350), (643), (2153) are
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  all_24_8 = e22 & op2(e22, e22) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2155) implies:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  all_24_8 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)  op2(e22, e22) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e22, e22, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (2157) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)  all_4_2 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2158) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  h3(e11) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2158) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  op2(e22, e22) = all_4_1
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_4_1, e22, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2160) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  all_4_1 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2161) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  h3(e14) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (2161) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  op2(e22, e22) = all_4_0
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_4_0, e22, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2163) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  all_4_0 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2164) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  h3(e12) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2164) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  op2(e22, e22) = all_4_3
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_4_3, e22, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2166) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  all_4_3 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (2167) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)  h3(e10) = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)  ( ~ (all_26_110 = all_26_111) & h3(all_26_222) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_111 & h3(e14) = all_26_151 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_151) = all_26_110 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_110) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_111) & $i(all_26_151) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_112 = all_26_113)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_225) = all_26_113 & h3(e14) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_151 & h3(e13) = all_26_154 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_154) = all_26_112 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_112) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_113) & $i(all_26_151) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_114 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_115) & h3(all_26_228) = all_26_115 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e12) = all_26_157 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_157) = all_26_114 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_114) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_115) & $i(all_26_151) & $i(all_26_157)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228)) | ( ~ (all_26_116 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_117) & h3(all_26_231) = all_26_117 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e11) = all_26_160 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_160) = all_26_116 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_116) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_117) & $i(all_26_151) & $i(all_26_160)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_231)) | ( ~ (all_26_118 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_119) & h3(all_26_234) = all_26_119 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e10) = all_26_163 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_163) = all_26_118 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_118) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_119) & $i(all_26_151) & $i(all_26_163)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_234)) | ( ~ (all_26_120 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_121) & h3(all_26_237) = all_26_121 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_151) = all_26_120 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_120) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_121) & $i(all_26_151) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_237)) | ( ~ (all_26_122 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_123) & h3(all_26_240) = all_26_123 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & op2(all_26_154,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_154) = all_26_122 & op1(e13, e13) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_240 & $i(all_26_122) & $i(all_26_123) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_240)) | ( ~
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_124 = all_26_125) & h3(all_26_243) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_125 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_154, all_26_157) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_124 & op1(e13, e12) = all_26_243 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_124) & $i(all_26_125) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_243)) | ( ~
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_126 = all_26_127) & h3(all_26_246) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_127 & h3(e13) = all_26_154 & h3(e11) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_154, all_26_160) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_126 & op1(e13, e11) = all_26_246 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_126) & $i(all_26_127) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_246)) | ( ~
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_128 = all_26_129) & h3(all_26_249) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_129 & h3(e13) = all_26_154 & h3(e10) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & op2(all_26_154, all_26_163) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_128 & op1(e13, e10) = all_26_249 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_128) & $i(all_26_129) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163) & $i(all_26_249)) | ( ~
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_130 = all_26_131) & h3(all_26_252) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_131 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_151) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_130 & op1(e12, e14) = all_26_252 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_130) & $i(all_26_131) & $i(all_26_151)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_252)) | ( ~
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_132 = all_26_133) & h3(all_26_255) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_133 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_154) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_132 & op1(e12, e13) = all_26_255 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_132) & $i(all_26_133) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_255))
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)  ( ~ (all_26_110 = all_26_111) & h3(all_26_222) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_111 & h3(e14) = all_26_151 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_151) = all_26_110 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_110) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_111) & $i(all_26_151) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_112 = all_26_113)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_225) = all_26_113 & h3(e14) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_151 & h3(e13) = all_26_154 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_154) = all_26_112 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_112) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_113) & $i(all_26_151) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_114 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_115) & h3(all_26_228) = all_26_115 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e12) = all_26_157 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_157) = all_26_114 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_114) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_115) & $i(all_26_151) & $i(all_26_157)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228)) | ( ~ (all_26_116 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_117) & h3(all_26_231) = all_26_117 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e11) = all_26_160 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_160) = all_26_116 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_116) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_117) & $i(all_26_151) & $i(all_26_160)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_231)) | ( ~ (all_26_118 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_119) & h3(all_26_234) = all_26_119 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e10) = all_26_163 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_163) = all_26_118 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_118) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_119) & $i(all_26_151) & $i(all_26_163)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_234)) | ( ~ (all_26_120 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_121) & h3(all_26_237) = all_26_121 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_151) = all_26_120 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_120) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_121) & $i(all_26_151) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_237))
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2170) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2171)  ( ~ (all_26_110 = all_26_111) & h3(all_26_222) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_111 & h3(e14) = all_26_151 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_151) = all_26_110 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_110) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_111) & $i(all_26_151) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_112 = all_26_113)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_225) = all_26_113 & h3(e14) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_151 & h3(e13) = all_26_154 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_154) = all_26_112 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_112) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_113) & $i(all_26_151) & $i(all_26_154)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_114 =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_115) & h3(all_26_228) = all_26_115 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e12) = all_26_157 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_151, all_26_157) = all_26_114 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_114) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_115) & $i(all_26_151) & $i(all_26_157)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228))
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2171) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2172)   ~ (all_26_110 = all_26_111) & h3(all_26_222) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_111 & h3(e14) = all_26_151 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_151, all_26_151) = all_26_110 &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e14, e14) = all_26_222 & $i(all_26_110) &
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_111) & $i(all_26_151) & $i(all_26_222)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2172) implies:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2173)   ~ (all_26_110 = all_26_111)
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2174)  op1(e14, e14) = all_26_222
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2175)  op2(all_26_151, all_26_151) = all_26_110
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2176)  h3(e14) = all_26_151
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2177)  h3(all_26_222) = all_26_111
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_222, e14, e14,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1866), (2174) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2178)  all_26_222 = e10
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2176) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2179)  all_26_151 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2177), (2178) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2180)  h3(e10) = all_26_111
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2175), (2179) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2181)  op2(e22, e22) = all_26_110
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_110, e22, e22,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2181) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2182)  all_26_110 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_111, e10,
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2180) gives:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2183)  all_26_111 = e22
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2173), (2182), (2183) imply:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2184)  $false
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2184) is inconsistent.
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2185)  ( ~ (all_26_112 = all_26_113) & h3(all_26_225) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_113 & h3(e14) = all_26_151 & h3(e13) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & op2(all_26_151, all_26_154) =
% 236.40/45.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_112 & op1(e14, e13) = all_26_225 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_112) & $i(all_26_113) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_154) & $i(all_26_225)) | ( ~
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_114 = all_26_115) & h3(all_26_228) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_115 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_151, all_26_157) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_114 & op1(e14, e12) = all_26_228 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_114) & $i(all_26_115) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_228))
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2186)   ~ (all_26_112 = all_26_113) & h3(all_26_225) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_113 & h3(e14) = all_26_151 & h3(e13) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_154 & op2(all_26_151, all_26_154) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_112 & op1(e14, e13) = all_26_225 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_112) & $i(all_26_113) & $i(all_26_151) &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_154) & $i(all_26_225)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2186) implies:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2187)   ~ (all_26_112 = all_26_113)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2188)  op1(e14, e13) = all_26_225
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2189)  op2(all_26_151, all_26_154) = all_26_112
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2190)  h3(e13) = all_26_154
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2191)  h3(e14) = all_26_151
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2192)  h3(all_26_225) = all_26_113
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_225, e13, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (45), (2188) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2193)  all_26_225 = e12
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2190) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2194)  all_26_154 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2191) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2195)  all_26_151 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2192), (2193) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2196)  h3(e12) = all_26_113
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2189), (2194), (2195) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2197)  op2(e22, e22) = all_26_112
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_112, e22, e22,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2197) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2198)  all_26_112 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_113, e12,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2196) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2199)  all_26_113 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2187), (2198), (2199) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2200)  $false
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2200) is inconsistent.
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2201)   ~ (all_26_114 = all_26_115) & h3(all_26_228) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_115 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_157 & op2(all_26_151, all_26_157) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_114 & op1(e14, e12) = all_26_228 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_114) & $i(all_26_115) & $i(all_26_151) &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_157) & $i(all_26_228)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2201) implies:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2202)   ~ (all_26_114 = all_26_115)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2203)  op1(e14, e12) = all_26_228
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2204)  op2(all_26_151, all_26_157) = all_26_114
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2205)  h3(e12) = all_26_157
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2206)  h3(e14) = all_26_151
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2207)  h3(all_26_228) = all_26_115
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_228, e12, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2020), (2203) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2208)  all_26_228 = e11
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2205) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2209)  all_26_157 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2206) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2210)  all_26_151 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2207), (2208) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2211)  h3(e11) = all_26_115
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2204), (2209), (2210) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2212)  op2(e22, e22) = all_26_114
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_114, e22, e22,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2212) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2213)  all_26_114 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_115, e11,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2211) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2214)  all_26_115 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2202), (2213), (2214) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2215)  $false
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2215) is inconsistent.
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  ( ~ (all_26_116 = all_26_117) & h3(all_26_231) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_117 & h3(e14) = all_26_151 & h3(e11) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_151, all_26_160) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_116 & op1(e14, e11) = all_26_231 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_116) & $i(all_26_117) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_231)) | ( ~
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_118 = all_26_119) & h3(all_26_234) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_119 & h3(e14) = all_26_151 & h3(e10) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & op2(all_26_151, all_26_163) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_118 & op1(e14, e10) = all_26_234 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_118) & $i(all_26_119) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163) & $i(all_26_234)) | ( ~
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_120 = all_26_121) & h3(all_26_237) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_121 & h3(e14) = all_26_151 & h3(e13) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & op2(all_26_154, all_26_151) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_120 & op1(e13, e14) = all_26_237 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_120) & $i(all_26_121) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_154) & $i(all_26_237))
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2217)   ~ (all_26_116 = all_26_117) & h3(all_26_231) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_117 & h3(e14) = all_26_151 & h3(e11) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_151, all_26_160) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_116 & op1(e14, e11) = all_26_231 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_116) & $i(all_26_117) & $i(all_26_151) &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_231)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2217) implies:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2218)   ~ (all_26_116 = all_26_117)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2219)  op1(e14, e11) = all_26_231
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2220)  op2(all_26_151, all_26_160) = all_26_116
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2221)  h3(e11) = all_26_160
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2222)  h3(e14) = all_26_151
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2223)  h3(all_26_231) = all_26_117
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_231, e11, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1862), (2219) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2224)  all_26_231 = e13
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2221) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2225)  all_26_160 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2222) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2226)  all_26_151 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2223), (2224) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2227)  h3(e13) = all_26_117
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2220), (2225), (2226) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2228)  op2(e22, e22) = all_26_116
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_116, e22, e22,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2228) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2229)  all_26_116 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_117, e13,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2227) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2230)  all_26_117 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2218), (2229), (2230) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2231)  $false
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2231) is inconsistent.
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2232)  ( ~ (all_26_118 = all_26_119) & h3(all_26_234) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_119 & h3(e14) = all_26_151 & h3(e10) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & op2(all_26_151, all_26_163) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_118 & op1(e14, e10) = all_26_234 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_118) & $i(all_26_119) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163) & $i(all_26_234)) | ( ~
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_120 = all_26_121) & h3(all_26_237) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_121 & h3(e14) = all_26_151 & h3(e13) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & op2(all_26_154, all_26_151) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_120 & op1(e13, e14) = all_26_237 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_120) & $i(all_26_121) & $i(all_26_151)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_154) & $i(all_26_237))
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2232) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2233)   ~ (all_26_118 = all_26_119) & h3(all_26_234) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_119 & h3(e14) = all_26_151 & h3(e10) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_163 & op2(all_26_151, all_26_163) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_118 & op1(e14, e10) = all_26_234 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_118) & $i(all_26_119) & $i(all_26_151) &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_163) & $i(all_26_234)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2233) implies:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2234)   ~ (all_26_118 = all_26_119)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2235)  op1(e14, e10) = all_26_234
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2236)  op2(all_26_151, all_26_163) = all_26_118
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2237)  h3(e10) = all_26_163
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2238)  h3(e14) = all_26_151
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2239)  h3(all_26_234) = all_26_119
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_234, e10, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2011), (2235) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2240)  all_26_234 = e14
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2237) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2241)  all_26_163 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2238) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_26_151 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2239), (2240) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2243)  h3(e14) = all_26_119
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2236), (2241), (2242) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2244)  op2(e22, e22) = all_26_118
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_118, e22, e22,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2244) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2245)  all_26_118 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_119, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2243) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_26_119 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2234), (2245), (2246) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2247)  $false
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2247) is inconsistent.
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2248)   ~ (all_26_120 = all_26_121) & h3(all_26_237) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_121 & h3(e14) = all_26_151 & h3(e13) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_154 & op2(all_26_154, all_26_151) =
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_120 & op1(e13, e14) = all_26_237 &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_120) & $i(all_26_121) & $i(all_26_151) &
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_154) & $i(all_26_237)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2249)   ~ (all_26_120 = all_26_121)
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2250)  op1(e13, e14) = all_26_237
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  op2(all_26_154, all_26_151) = all_26_120
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2252)  h3(e13) = all_26_154
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)  h3(e14) = all_26_151
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)  h3(all_26_237) = all_26_121
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_237, e14, e13,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (863), (2250) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)  all_26_237 = e12
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2252) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)  all_26_154 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2253) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_26_151 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2254), (2255) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)  h3(e12) = all_26_121
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2251), (2256), (2257) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)  op2(e22, e22) = all_26_120
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_120, e22, e22,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2259) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)  all_26_120 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_121, e12,
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2258) gives:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)  all_26_121 = e22
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2249), (2260), (2261) imply:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)  $false
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2262) is inconsistent.
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)  ( ~ (all_26_122 = all_26_123) & h3(all_26_240) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_123 & h3(e13) = all_26_154 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_154) = all_26_122 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_122) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_123) & $i(all_26_154) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_240)) | ( ~ (all_26_124 = all_26_125)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_243) = all_26_125 & h3(e13) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_157) = all_26_124 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_124) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_125) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_243)) | ( ~ (all_26_126 =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_127) & h3(all_26_246) = all_26_127 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_160) = all_26_126 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_126) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_127) & $i(all_26_154) & $i(all_26_160)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_246)) | ( ~ (all_26_128 =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_129) & h3(all_26_249) = all_26_129 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e10) = all_26_163 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_163) = all_26_128 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e10) = all_26_249 & $i(all_26_128) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_129) & $i(all_26_154) & $i(all_26_163)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_249)) | ( ~ (all_26_130 =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_131) & h3(all_26_252) = all_26_131 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e12) = all_26_157 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_151) = all_26_130 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e14) = all_26_252 & $i(all_26_130) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_131) & $i(all_26_151) & $i(all_26_157)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_252)) | ( ~ (all_26_132 =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_133) & h3(all_26_255) = all_26_133 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_154) = all_26_132 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e13) = all_26_255 & $i(all_26_132) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_133) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_255))
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  ( ~ (all_26_122 = all_26_123) & h3(all_26_240) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_123 & h3(e13) = all_26_154 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_154) = all_26_122 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_122) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_123) & $i(all_26_154) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_240)) | ( ~ (all_26_124 = all_26_125)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_243) = all_26_125 & h3(e13) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_157) = all_26_124 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_124) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_125) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_243)) | ( ~ (all_26_126 =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_127) & h3(all_26_246) = all_26_127 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_154, all_26_160) = all_26_126 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_126) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_127) & $i(all_26_154) & $i(all_26_160)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_246))
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)   ~ (all_26_122 = all_26_123) & h3(all_26_240) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_123 & h3(e13) = all_26_154 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_154, all_26_154) = all_26_122 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e13, e13) = all_26_240 & $i(all_26_122) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_123) & $i(all_26_154) & $i(all_26_240)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2265) implies:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)   ~ (all_26_122 = all_26_123)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)  op1(e13, e13) = all_26_240
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)  op2(all_26_154, all_26_154) = all_26_122
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)  h3(e13) = all_26_154
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)  h3(all_26_240) = all_26_123
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_240, e13, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (2267) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)  all_26_240 = e11
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2269) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)  all_26_154 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2271) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  h3(e11) = all_26_123
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2268), (2272) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  op2(e22, e22) = all_26_122
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_122, e22, e22,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2274) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  all_26_122 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_123, e11,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2273) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  all_26_123 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2266), (2275), (2276) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)  $false
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2277) is inconsistent.
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  ( ~ (all_26_124 = all_26_125) & h3(all_26_243) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_125 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_154, all_26_157) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_124 & op1(e13, e12) = all_26_243 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_124) & $i(all_26_125) & $i(all_26_154)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_243)) | ( ~
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_126 = all_26_127) & h3(all_26_246) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_127 & h3(e13) = all_26_154 & h3(e11) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_154, all_26_160) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_126 & op1(e13, e11) = all_26_246 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_126) & $i(all_26_127) & $i(all_26_154)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_246))
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2278) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)   ~ (all_26_124 = all_26_125) & h3(all_26_243) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_125 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_157 & op2(all_26_154, all_26_157) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_124 & op1(e13, e12) = all_26_243 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_124) & $i(all_26_125) & $i(all_26_154) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_157) & $i(all_26_243)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2279) implies:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)   ~ (all_26_124 = all_26_125)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)  op1(e13, e12) = all_26_243
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  op2(all_26_154, all_26_157) = all_26_124
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  h3(e12) = all_26_157
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  h3(e13) = all_26_154
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)  h3(all_26_243) = all_26_125
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_243, e12, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (2281) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)  all_26_243 = e10
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2283) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)  all_26_157 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2284) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)  all_26_154 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2285), (2286) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  h3(e10) = all_26_125
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2282), (2287), (2288) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2290)  op2(e22, e22) = all_26_124
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_124, e22, e22,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2290) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2291)  all_26_124 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_125, e10,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2289) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2292)  all_26_125 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2280), (2291), (2292) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2293)  $false
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2293) is inconsistent.
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2294)   ~ (all_26_126 = all_26_127) & h3(all_26_246) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_127 & h3(e13) = all_26_154 & h3(e11) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_154, all_26_160) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_126 & op1(e13, e11) = all_26_246 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_126) & $i(all_26_127) & $i(all_26_154) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_246)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2294) implies:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2295)   ~ (all_26_126 = all_26_127)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2296)  op1(e13, e11) = all_26_246
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  op2(all_26_154, all_26_160) = all_26_126
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  h3(e11) = all_26_160
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2299)  h3(e13) = all_26_154
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  h3(all_26_246) = all_26_127
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_246, e11, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (42), (2296) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2301)  all_26_246 = e14
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2298) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2302)  all_26_160 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2299) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2303)  all_26_154 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2300), (2301) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2304)  h3(e14) = all_26_127
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2297), (2302), (2303) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2305)  op2(e22, e22) = all_26_126
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_126, e22, e22,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2305) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2306)  all_26_126 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_127, e14,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2304) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2307)  all_26_127 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2295), (2306), (2307) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2308)  $false
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2308) is inconsistent.
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2309)  ( ~ (all_26_128 = all_26_129) & h3(all_26_249) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_129 & h3(e13) = all_26_154 & h3(e10) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & op2(all_26_154, all_26_163) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_128 & op1(e13, e10) = all_26_249 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_128) & $i(all_26_129) & $i(all_26_154)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163) & $i(all_26_249)) | ( ~
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_130 = all_26_131) & h3(all_26_252) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_131 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_151) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_130 & op1(e12, e14) = all_26_252 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_130) & $i(all_26_131) & $i(all_26_151)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_252)) | ( ~
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_132 = all_26_133) & h3(all_26_255) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_133 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_154) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_132 & op1(e12, e13) = all_26_255 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_132) & $i(all_26_133) & $i(all_26_154)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_255))
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2309) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2310)   ~ (all_26_128 = all_26_129) & h3(all_26_249) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_129 & h3(e13) = all_26_154 & h3(e10) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_163 & op2(all_26_154, all_26_163) =
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_128 & op1(e13, e10) = all_26_249 &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_128) & $i(all_26_129) & $i(all_26_154) &
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_163) & $i(all_26_249)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2310) implies:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2311)   ~ (all_26_128 = all_26_129)
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2312)  op1(e13, e10) = all_26_249
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2313)  op2(all_26_154, all_26_163) = all_26_128
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2314)  h3(e10) = all_26_163
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2315)  h3(e13) = all_26_154
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2316)  h3(all_26_249) = all_26_129
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_249, e10, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (844), (2312) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2317)  all_26_249 = e13
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2314) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2318)  all_26_163 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2315) gives:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2319)  all_26_154 = e22
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2316), (2317) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2320)  h3(e13) = all_26_129
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2313), (2318), (2319) imply:
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2321)  op2(e22, e22) = all_26_128
% 236.40/45.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_128, e22, e22,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2321) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2322)  all_26_128 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_129, e13,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2320) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2323)  all_26_129 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2311), (2322), (2323) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2324)  $false
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2324) is inconsistent.
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2325)  ( ~ (all_26_130 = all_26_131) & h3(all_26_252) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_131 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_151) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_130 & op1(e12, e14) = all_26_252 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_130) & $i(all_26_131) & $i(all_26_151)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_252)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_132 = all_26_133) & h3(all_26_255) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_133 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & op2(all_26_157, all_26_154) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_132 & op1(e12, e13) = all_26_255 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_132) & $i(all_26_133) & $i(all_26_154)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_157) & $i(all_26_255))
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2326)   ~ (all_26_130 = all_26_131) & h3(all_26_252) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_131 & h3(e14) = all_26_151 & h3(e12) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_157 & op2(all_26_157, all_26_151) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_130 & op1(e12, e14) = all_26_252 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_130) & $i(all_26_131) & $i(all_26_151) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_157) & $i(all_26_252)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2326) implies:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2327)   ~ (all_26_130 = all_26_131)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2328)  op1(e12, e14) = all_26_252
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2329)  op2(all_26_157, all_26_151) = all_26_130
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2330)  h3(e12) = all_26_157
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  h3(e14) = all_26_151
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  h3(all_26_252) = all_26_131
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_252, e14, e12,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1965), (2328) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  all_26_252 = e11
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2330) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  all_26_157 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2331) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  all_26_151 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2332), (2333) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  h3(e11) = all_26_131
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2329), (2334), (2335) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  op2(e22, e22) = all_26_130
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_130, e22, e22,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2337) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)  all_26_130 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_131, e11,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2336) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)  all_26_131 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2327), (2338), (2339) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)  $false
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2340) is inconsistent.
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)   ~ (all_26_132 = all_26_133) & h3(all_26_255) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_133 & h3(e13) = all_26_154 & h3(e12) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_157 & op2(all_26_157, all_26_154) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_132 & op1(e12, e13) = all_26_255 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_132) & $i(all_26_133) & $i(all_26_154) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_157) & $i(all_26_255)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2341) implies:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)   ~ (all_26_132 = all_26_133)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  op1(e12, e13) = all_26_255
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  op2(all_26_157, all_26_154) = all_26_132
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)  h3(e12) = all_26_157
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  h3(e13) = all_26_154
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  h3(all_26_255) = all_26_133
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_255, e13, e12,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1979), (2343) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2348)  all_26_255 = e14
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2345) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)  all_26_157 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2346) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)  all_26_154 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2347), (2348) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)  h3(e14) = all_26_133
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2344), (2349), (2350) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)  op2(e22, e22) = all_26_132
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_132, e22, e22,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2352) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_26_132 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_133, e14,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2351) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_26_133 = e22
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2342), (2353), (2354) imply:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  $false
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2355) is inconsistent.
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  ( ~ (all_26_134 = all_26_135) & h3(all_26_258) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_135 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_157) = all_26_134 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_134) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_135) & $i(all_26_157) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_136 = all_26_137)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_261) = all_26_137 & h3(e12) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & h3(e11) = all_26_160 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_160) = all_26_136 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_136) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_137) & $i(all_26_157) & $i(all_26_160)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_138 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_139) & h3(all_26_264) = all_26_139 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_163) = all_26_138 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_138) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_139) & $i(all_26_157) & $i(all_26_163)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264)) | ( ~ (all_26_140 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_141) & h3(all_26_267) = all_26_141 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e11) = all_26_160 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_151) = all_26_140 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_140) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_141) & $i(all_26_151) & $i(all_26_160)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_267)) | ( ~ (all_26_142 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_143) & h3(all_26_270) = all_26_143 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_154) = all_26_142 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_142) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_143) & $i(all_26_154) & $i(all_26_160)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_270)) | ( ~ (all_26_144 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_145) & h3(all_26_273) = all_26_145 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_157) = all_26_144 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_144) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_145) & $i(all_26_157) & $i(all_26_160)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_273)) | ( ~ (all_26_146 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_147) & h3(all_26_276) = all_26_147 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & op2(all_26_160,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_160) = all_26_146 & op1(e11, e11) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_276 & $i(all_26_146) & $i(all_26_147) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_160) & $i(all_26_276)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e24) &  ~ (all_26_154 = e24) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e24) &  ~ (all_26_160 = e24) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e24) & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e23) &  ~ (all_26_154 = e23) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e23) &  ~ (all_26_160 = e23) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e23) & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e22) &  ~ (all_26_154 = e22) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e22) &  ~ (all_26_160 = e22) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e22) & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e21) &  ~ (all_26_154 = e21) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e21) &  ~ (all_26_160 = e21) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e21) & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e20) &  ~ (all_26_154 = e20) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e20) &  ~ (all_26_160 = e20) &  ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e20) & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | (h3(e10) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & $i(all_26_163) & (( ~ (all_26_148 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_149) & h3(all_26_279) = all_26_149
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_160,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_163) = all_26_148 & op1(e11, e10) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_148) & $i(all_26_149)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_160) & $i(all_26_279)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_152 & h3(e14) = all_26_151 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_151) = all_26_150 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_150)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_151) & $i(all_26_152) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_153 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_155) & h3(all_26_287) = all_26_155
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e13) = all_26_154 & op2(all_26_163,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_154) = all_26_153 & op1(e10, e13) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_153) & $i(all_26_154)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_155) & $i(all_26_287)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_158 & h3(e12) = all_26_157 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_157) = all_26_156 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_156)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_157) & $i(all_26_158) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_159 =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_161) & h3(all_26_295) = all_26_161
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_163,
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_160) = all_26_159 & op1(e10, e11) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_159) & $i(all_26_160)
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_161) & $i(all_26_295)) | ( ~
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_162 = all_26_164) & h3(all_26_299) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_164 & op2(all_26_163, all_26_163) =
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_162 & op1(e10, e10) = all_26_299 &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_162) & $i(all_26_164) &
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  ( ~ (all_26_134 = all_26_135) & h3(all_26_258) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_135 & h3(e12) = all_26_157 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_157) = all_26_134 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_134) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_135) & $i(all_26_157) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_136 = all_26_137)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_261) = all_26_137 & h3(e12) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & h3(e11) = all_26_160 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_160) = all_26_136 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_136) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_137) & $i(all_26_157) & $i(all_26_160)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_138 =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_139) & h3(all_26_264) = all_26_139 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e10) = all_26_163 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_163) = all_26_138 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_138) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_139) & $i(all_26_157) & $i(all_26_163)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264)) | ( ~ (all_26_140 =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_141) & h3(all_26_267) = all_26_141 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e11) = all_26_160 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_151) = all_26_140 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_140) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_141) & $i(all_26_151) & $i(all_26_160)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_267)) | ( ~ (all_26_142 =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_143) & h3(all_26_270) = all_26_143 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e11) = all_26_160 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_154) = all_26_142 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_142) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_143) & $i(all_26_154) & $i(all_26_160)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_270)) | ( ~ (all_26_144 =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_145) & h3(all_26_273) = all_26_145 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_157) = all_26_144 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_144) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_145) & $i(all_26_157) & $i(all_26_160)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_273))
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)  ( ~ (all_26_134 = all_26_135) & h3(all_26_258) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_135 & h3(e12) = all_26_157 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_157) = all_26_134 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_134) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_135) & $i(all_26_157) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_136 = all_26_137)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_261) = all_26_137 & h3(e12) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_157 & h3(e11) = all_26_160 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_160) = all_26_136 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_136) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_137) & $i(all_26_157) & $i(all_26_160)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_138 =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_139) & h3(all_26_264) = all_26_139 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e10) = all_26_163 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_157, all_26_163) = all_26_138 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_138) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_139) & $i(all_26_157) & $i(all_26_163)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264))
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)   ~ (all_26_134 = all_26_135) & h3(all_26_258) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_135 & h3(e12) = all_26_157 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_157, all_26_157) = all_26_134 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e12, e12) = all_26_258 & $i(all_26_134) &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_135) & $i(all_26_157) & $i(all_26_258)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2359) implies:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)   ~ (all_26_134 = all_26_135)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)  op1(e12, e12) = all_26_258
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)  op2(all_26_157, all_26_157) = all_26_134
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  h3(e12) = all_26_157
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)  h3(all_26_258) = all_26_135
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_258, e12, e12,
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1888), (2361) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2365)  all_26_258 = e13
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2363) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2366)  all_26_157 = e22
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2364), (2365) imply:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2367)  h3(e13) = all_26_135
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2362), (2366) imply:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2368)  op2(e22, e22) = all_26_134
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_134, e22, e22,
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2368) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2369)  all_26_134 = e22
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_135, e13,
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2367) gives:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2370)  all_26_135 = e22
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2360), (2369), (2370) imply:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2371)  $false
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2371) is inconsistent.
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2372)  ( ~ (all_26_136 = all_26_137) & h3(all_26_261) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_137 & h3(e12) = all_26_157 & h3(e11) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_157, all_26_160) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_136 & op1(e12, e11) = all_26_261 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_136) & $i(all_26_137) & $i(all_26_157)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_261)) | ( ~
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_138 = all_26_139) & h3(all_26_264) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_139 & h3(e12) = all_26_157 & h3(e10) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & op2(all_26_157, all_26_163) =
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_138 & op1(e12, e10) = all_26_264 &
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_138) & $i(all_26_139) & $i(all_26_157)
% 236.40/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163) & $i(all_26_264))
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2372) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2373)   ~ (all_26_136 = all_26_137) & h3(all_26_261) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_137 & h3(e12) = all_26_157 & h3(e11) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_157, all_26_160) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_136 & op1(e12, e11) = all_26_261 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_136) & $i(all_26_137) & $i(all_26_157) &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_261)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2373) implies:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2374)   ~ (all_26_136 = all_26_137)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2375)  op1(e12, e11) = all_26_261
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2376)  op2(all_26_157, all_26_160) = all_26_136
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2377)  h3(e11) = all_26_160
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2378)  h3(e12) = all_26_157
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2379)  h3(all_26_261) = all_26_137
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_261, e11, e12,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1949), (2375) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2380)  all_26_261 = e10
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2377) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2381)  all_26_160 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2378) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2382)  all_26_157 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2379), (2380) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2383)  h3(e10) = all_26_137
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2376), (2381), (2382) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2384)  op2(e22, e22) = all_26_136
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_136, e22, e22,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2384) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2385)  all_26_136 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_137, e10,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2383) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2386)  all_26_137 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2374), (2385), (2386) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2387)  $false
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2387) is inconsistent.
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2388)   ~ (all_26_138 = all_26_139) & h3(all_26_264) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_139 & h3(e12) = all_26_157 & h3(e10) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_163 & op2(all_26_157, all_26_163) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_138 & op1(e12, e10) = all_26_264 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_138) & $i(all_26_139) & $i(all_26_157) &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_163) & $i(all_26_264)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2388) implies:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2389)   ~ (all_26_138 = all_26_139)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2390)  op1(e12, e10) = all_26_264
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2391)  op2(all_26_157, all_26_163) = all_26_138
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2392)  h3(e10) = all_26_163
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2393)  h3(e12) = all_26_157
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2394)  h3(all_26_264) = all_26_139
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_264, e10, e12,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1961), (2390) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2395)  all_26_264 = e12
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2392) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2396)  all_26_163 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2393) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2397)  all_26_157 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2394), (2395) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2398)  h3(e12) = all_26_139
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2391), (2396), (2397) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2399)  op2(e22, e22) = all_26_138
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_138, e22, e22,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2399) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2400)  all_26_138 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_139, e12,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2398) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2401)  all_26_139 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2389), (2400), (2401) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2402)  $false
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2402) is inconsistent.
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2403)  ( ~ (all_26_140 = all_26_141) & h3(all_26_267) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_141 & h3(e14) = all_26_151 & h3(e11) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_160, all_26_151) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_140 & op1(e11, e14) = all_26_267 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_140) & $i(all_26_141) & $i(all_26_151)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_267)) | ( ~
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_142 = all_26_143) & h3(all_26_270) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_143 & h3(e13) = all_26_154 & h3(e11) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_160, all_26_154) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_142 & op1(e11, e13) = all_26_270 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_142) & $i(all_26_143) & $i(all_26_154)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_270)) | ( ~
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_144 = all_26_145) & h3(all_26_273) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_145 & h3(e12) = all_26_157 & h3(e11) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_160, all_26_157) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_144 & op1(e11, e12) = all_26_273 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_144) & $i(all_26_145) & $i(all_26_157)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_273))
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2404)   ~ (all_26_140 = all_26_141) & h3(all_26_267) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_141 & h3(e14) = all_26_151 & h3(e11) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_160, all_26_151) =
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_140 & op1(e11, e14) = all_26_267 &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_140) & $i(all_26_141) & $i(all_26_151) &
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_267)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2404) implies:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2405)   ~ (all_26_140 = all_26_141)
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2406)  op1(e11, e14) = all_26_267
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2407)  op2(all_26_160, all_26_151) = all_26_140
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2408)  h3(e11) = all_26_160
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2409)  h3(e14) = all_26_151
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2410)  h3(all_26_267) = all_26_141
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_267, e14, e11,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1883), (2406) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2411)  all_26_267 = e13
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2408) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2412)  all_26_160 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2409) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2413)  all_26_151 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2410), (2411) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2414)  h3(e13) = all_26_141
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2407), (2412), (2413) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2415)  op2(e22, e22) = all_26_140
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_140, e22, e22,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2415) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2416)  all_26_140 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_141, e13,
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2414) gives:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2417)  all_26_141 = e22
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2405), (2416), (2417) imply:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2418)  $false
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2418) is inconsistent.
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2419)  ( ~ (all_26_142 = all_26_143) & h3(all_26_270) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_143 & h3(e13) = all_26_154 & h3(e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_160, all_26_154) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_142 & op1(e11, e13) = all_26_270 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_142) & $i(all_26_143) & $i(all_26_154)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_270)) | ( ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_144 = all_26_145) & h3(all_26_273) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_145 & h3(e12) = all_26_157 & h3(e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_160, all_26_157) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_144 & op1(e11, e12) = all_26_273 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_144) & $i(all_26_145) & $i(all_26_157)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_273))
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2420)   ~ (all_26_142 = all_26_143) & h3(all_26_270) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_143 & h3(e13) = all_26_154 & h3(e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_160, all_26_154) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_142 & op1(e11, e13) = all_26_270 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_142) & $i(all_26_143) & $i(all_26_154) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_270)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2420) implies:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2421)   ~ (all_26_142 = all_26_143)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2422)  op1(e11, e13) = all_26_270
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2423)  op2(all_26_160, all_26_154) = all_26_142
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2424)  h3(e11) = all_26_160
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2425)  h3(e13) = all_26_154
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2426)  h3(all_26_270) = all_26_143
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_270, e13, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1987), (2422) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2427)  all_26_270 = e10
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2424) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2428)  all_26_160 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2425) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2429)  all_26_154 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2427) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2430)  h3(e10) = all_26_143
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2423), (2428), (2429) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2431)  op2(e22, e22) = all_26_142
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_142, e22, e22,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2431) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2432)  all_26_142 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_143, e10,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2430) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2433)  all_26_143 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2421), (2432), (2433) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2434)  $false
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2435)   ~ (all_26_144 = all_26_145) & h3(all_26_273) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_145 & h3(e12) = all_26_157 & h3(e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_160 & op2(all_26_160, all_26_157) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_144 & op1(e11, e12) = all_26_273 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_144) & $i(all_26_145) & $i(all_26_157) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_273)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2435) implies:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2436)   ~ (all_26_144 = all_26_145)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2437)  op1(e11, e12) = all_26_273
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2438)  op2(all_26_160, all_26_157) = all_26_144
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  h3(e11) = all_26_160
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2440)  h3(e12) = all_26_157
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2441)  h3(all_26_273) = all_26_145
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_273, e12, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2029), (2437) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2442)  all_26_273 = e14
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2439) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)  all_26_160 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2440) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_26_157 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2441), (2442) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  h3(e14) = all_26_145
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2438), (2443), (2444) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  op2(e22, e22) = all_26_144
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_144, e22, e22,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2446) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_26_144 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_145, e14,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2445) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)  all_26_145 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2436), (2447), (2448) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)  $false
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2449) is inconsistent.
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)  ( ~ (all_26_146 = all_26_147) & h3(all_26_276) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_147 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_160) = all_26_146 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_146) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_147) & $i(all_26_160) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_276)) | ( ~ (all_26_151 = e24) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e24) &  ~ (all_26_157 = e24) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e24) &  ~ (all_26_163 = e24) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | ( ~ (all_26_151 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e23) &  ~ (all_26_157 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e23) &  ~ (all_26_163 = e23) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | ( ~ (all_26_151 = e22) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e22) &  ~ (all_26_157 = e22) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e22) &  ~ (all_26_163 = e22) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | ( ~ (all_26_151 = e21) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e21) &  ~ (all_26_157 = e21) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e21) &  ~ (all_26_163 = e21) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | ( ~ (all_26_151 = e20) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e20) &  ~ (all_26_157 = e20) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e20) &  ~ (all_26_163 = e20) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | (h3(e10) = all_26_163 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_163) & (( ~ (all_26_148 = all_26_149)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(all_26_279) = all_26_149 & h3(e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_160 & op2(all_26_160, all_26_163) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_148 & op1(e11, e10) = all_26_279 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_148) & $i(all_26_149) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_160) & $i(all_26_279)) | ( ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_152 & h3(e14) = all_26_151 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_151) = all_26_150 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_150)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_151) & $i(all_26_152) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_153 =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_155) & h3(all_26_287) = all_26_155
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e13) = all_26_154 & op2(all_26_163,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_154) = all_26_153 & op1(e10, e13) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_153) & $i(all_26_154)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_155) & $i(all_26_287)) | ( ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_158 & h3(e12) = all_26_157 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_157) = all_26_156 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_156)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_157) & $i(all_26_158) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_159 =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_161) & h3(all_26_295) = all_26_161
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_163,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_160) = all_26_159 & op1(e10, e11) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_159) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_161) & $i(all_26_295)) | ( ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_162 = all_26_164) & h3(all_26_299) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_164 & op2(all_26_163, all_26_163) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_162 & op1(e10, e10) = all_26_299 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_162) & $i(all_26_164) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2450) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)  ( ~ (all_26_146 = all_26_147) & h3(all_26_276) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_147 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_160) = all_26_146 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_146) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_147) & $i(all_26_160) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_276)) | ( ~ (all_26_151 = e24) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e24) &  ~ (all_26_157 = e24) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e24) &  ~ (all_26_163 = e24) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163)) | ( ~ (all_26_151 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_154 = e23) &  ~ (all_26_157 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_160 = e23) &  ~ (all_26_163 = e23) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e14) = all_26_151 & h3(e13) = all_26_154 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e12) = all_26_157 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e10) = all_26_163 & $i(all_26_151) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_154) & $i(all_26_157) & $i(all_26_160)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_163))
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2451) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)   ~ (all_26_146 = all_26_147) & h3(all_26_276) =
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_147 & h3(e11) = all_26_160 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_160, all_26_160) = all_26_146 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e11) = all_26_276 & $i(all_26_146) &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_147) & $i(all_26_160) & $i(all_26_276)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2452) implies:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)   ~ (all_26_146 = all_26_147)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  op1(e11, e11) = all_26_276
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)  op2(all_26_160, all_26_160) = all_26_146
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  h3(e11) = all_26_160
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  h3(all_26_276) = all_26_147
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_276, e11, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2042), (2454) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  all_26_276 = e12
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2456) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  all_26_160 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2457), (2458) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  h3(e12) = all_26_147
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2455), (2459) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  op2(e22, e22) = all_26_146
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_146, e22, e22,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2461) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  all_26_146 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_147, e12,
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2460) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)  all_26_147 = e22
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2453), (2462), (2463) imply:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  $false
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2464) is inconsistent.
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)  ( ~ (all_26_151 = e24) &  ~ (all_26_154 = e24) & 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_157 = e24) &  ~ (all_26_160 = e24) & 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_163 = e24) & h3(e14) = all_26_151 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e23) &  ~ (all_26_154 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e23) &  ~ (all_26_160 = e23) &  ~
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e23) & h3(e14) = all_26_151 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163))
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)   ~ (all_26_151 = e24) &  ~ (all_26_154 = e24) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_157 = e24) &  ~ (all_26_160 = e24) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_163 = e24) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_163)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)   ~ (all_26_163 = e24)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  h3(e10) = all_26_163
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2468) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)  all_26_163 = e22
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (21), (23), (34),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (46), (47), (48),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (63), (64), (65), (66), (73), (74),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (242), (280), (281), (284), (299),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (300), (329), (330), (332), (336), (338), (339),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (349), (350), (435), (436),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (448), (449), (450), (452), (453), (454),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (457), (458), (460), (462), (463), (464),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (470), (471), (472),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (584), (629), (630), (634), (635),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (647), (649), (651), (654),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (659), (662), (663), (665), (669), (671),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (677), (679), (681), (683), (684), (687), (689),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (700), (702), (752), (798), (803), (807),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (1840), (1891), (1894), (1917),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1934), (1938), (2073), (2079),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2089), (2091), (2093), (2096), (2098),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2100), (2105), (2108), (2112), (2113), (2118),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2124), (2125), (2135), (2142), (2147), (2149),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2156) are inconsistent by sub-proof #318.
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)   ~ (all_26_151 = e23) &  ~ (all_26_154 = e23) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_157 = e23) &  ~ (all_26_160 = e23) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_163 = e23) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_163)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2470) implies:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)   ~ (all_26_163 = e23)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)  h3(e10) = all_26_163
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2472) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)  all_26_163 = e22
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (21), (23), (34),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (46), (47), (48),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (63), (64), (65), (66), (73), (74),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (242), (280), (281), (284), (299),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (300), (329), (330), (332), (336), (338), (339),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (349), (350), (435), (436),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (448), (449), (450), (452), (453), (454),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (457), (458), (460), (462), (463), (464),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (470), (471), (472),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (584), (629), (630), (634), (635),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (647), (649), (651), (654),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (659), (662), (663), (665), (669), (671),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (677), (679), (681), (683), (684), (687), (689),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (700), (702), (752), (798), (803), (807),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (1840), (1891), (1894), (1917),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1934), (1938), (2073), (2079),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2089), (2091), (2093), (2096), (2098),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2100), (2105), (2108), (2112), (2113), (2118),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2124), (2125), (2135), (2142), (2147), (2149),
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2156) are inconsistent by sub-proof #318.
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  ( ~ (all_26_151 = e22) &  ~ (all_26_154 = e22) & 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_157 = e22) &  ~ (all_26_160 = e22) & 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_163 = e22) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e21) &  ~ (all_26_154 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e21) &  ~ (all_26_160 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e21) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e20) &  ~ (all_26_154 = e20) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e20) &  ~ (all_26_160 = e20) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e20) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | (h3(e10) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & $i(all_26_163) & (( ~ (all_26_148 =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_149) & h3(all_26_279) = all_26_149
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_160,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_163) = all_26_148 & op1(e11, e10) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_148) & $i(all_26_149)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_160) & $i(all_26_279)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_152 & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_151) = all_26_150 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_150)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_151) & $i(all_26_152) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_153 =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_155) & h3(all_26_287) = all_26_155
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e13) = all_26_154 & op2(all_26_163,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_154) = all_26_153 & op1(e10, e13) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_153) & $i(all_26_154)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_155) & $i(all_26_287)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_158 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_157) = all_26_156 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_156)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_157) & $i(all_26_158) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_159 =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_161) & h3(all_26_295) = all_26_161
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_163,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_160) = all_26_159 & op1(e10, e11) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_159) & $i(all_26_160)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_161) & $i(all_26_295)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_162 = all_26_164) & h3(all_26_299) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_164 & op2(all_26_163, all_26_163) =
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_162 & op1(e10, e10) = all_26_299 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_162) & $i(all_26_164) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2474) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  ( ~ (all_26_151 = e22) &  ~ (all_26_154 = e22) & 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_157 = e22) &  ~ (all_26_160 = e22) & 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_163 = e22) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | ( ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_151 = e21) &  ~ (all_26_154 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_157 = e21) &  ~ (all_26_160 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_163 = e21) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163))
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)   ~ (all_26_151 = e22) &  ~ (all_26_154 = e22) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_157 = e22) &  ~ (all_26_160 = e22) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_163 = e22) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_163)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2476) implies:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)   ~ (all_26_154 = e22)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)  h3(e13) = all_26_154
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2478) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)  all_26_154 = e22
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2477), (2479) imply:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)  $false
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2480) is inconsistent.
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)   ~ (all_26_151 = e21) &  ~ (all_26_154 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_157 = e21) &  ~ (all_26_160 = e21) &  ~
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_163 = e21) & h3(e14) = all_26_151 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_163)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2481) implies:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)   ~ (all_26_163 = e21)
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)  h3(e10) = all_26_163
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2483) gives:
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)  all_26_163 = e22
% 236.71/45.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (21), (23), (34),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (46), (47), (48),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (63), (64), (65), (66), (73), (74),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (242), (280), (281), (284), (299),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (300), (329), (330), (332), (336), (338), (339),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (349), (350), (435), (436),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (448), (449), (450), (452), (453), (454),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (457), (458), (460), (462), (463), (464),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (470), (471), (472),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (584), (629), (630), (634), (635),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (647), (649), (651), (654),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (659), (662), (663), (665), (669), (671),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (677), (679), (681), (683), (684), (687), (689),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (700), (702), (752), (798), (803), (807),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (1840), (1891), (1894), (1917),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1934), (1938), (2073), (2079),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2089), (2091), (2093), (2096), (2098),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2100), (2105), (2108), (2112), (2113), (2118),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2124), (2125), (2135), (2142), (2147), (2149),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2156) are inconsistent by sub-proof #318.
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)  ( ~ (all_26_151 = e20) &  ~ (all_26_154 = e20) & 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_157 = e20) &  ~ (all_26_160 = e20) & 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_163 = e20) & h3(e14) = all_26_151 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_154) & $i(all_26_157)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_160) & $i(all_26_163)) | (h3(e10) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_163 & $i(all_26_163) & (( ~ (all_26_148 =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_149) & h3(all_26_279) = all_26_149
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_160,
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_163) = all_26_148 & op1(e11, e10) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_148) & $i(all_26_149)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_160) & $i(all_26_279)) | ( ~
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_152 & h3(e14) = all_26_151 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_151) = all_26_150 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_150)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_151) & $i(all_26_152) &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_153 =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_155) & h3(all_26_287) = all_26_155
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e13) = all_26_154 & op2(all_26_163,
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_154) = all_26_153 & op1(e10, e13) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_153) & $i(all_26_154)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_155) & $i(all_26_287)) | ( ~
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_158 & h3(e12) = all_26_157 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_163, all_26_157) = all_26_156 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_156)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_157) & $i(all_26_158) &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_159 =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_161) & h3(all_26_295) = all_26_161
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h3(e11) = all_26_160 & op2(all_26_163,
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_160) = all_26_159 & op1(e10, e11) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_159) & $i(all_26_160)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_161) & $i(all_26_295)) | ( ~
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_162 = all_26_164) & h3(all_26_299) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_164 & op2(all_26_163, all_26_163) =
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_162 & op1(e10, e10) = all_26_299 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_162) & $i(all_26_164) &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2485) gives:
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)   ~ (all_26_151 = e20) &  ~ (all_26_154 = e20) &  ~
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_157 = e20) &  ~ (all_26_160 = e20) &  ~
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_163 = e20) & h3(e14) = all_26_151 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e13) = all_26_154 & h3(e12) = all_26_157 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h3(e11) = all_26_160 & h3(e10) = all_26_163 &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_154) & $i(all_26_157) &
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_163)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2486) implies:
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)   ~ (all_26_163 = e20)
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  h3(e10) = all_26_163
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2488) gives:
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_26_163 = e22
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (21), (23), (34),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (46), (47), (48),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (63), (64), (65), (66), (73), (74),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (242), (280), (281), (284), (299),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (300), (329), (330), (332), (336), (338), (339),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (349), (350), (435), (436),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (440), (442), (443), (444), (445),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (448), (449), (450), (452), (453), (454),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (457), (458), (460), (462), (463), (464),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (470), (471), (472),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (477), (478), (584), (629), (630), (634), (635),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (647), (649), (651), (654),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (659), (662), (663), (665), (669), (671),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (677), (679), (681), (683), (684), (687), (689),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (700), (702), (752), (798), (803), (807),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (1840), (1891), (1894), (1917),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1934), (1938), (2073), (2079),
% 236.71/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2089), (2091), (2093), (2096), (2098),
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2100), (2105), (2108), (2112), (2113), (2118),
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2124), (2125), (2135), (2142), (2147), (2149),
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2156) are inconsistent by sub-proof #318.
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  h3(e10) = all_26_163 & $i(all_26_163) & (( ~
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_148 = all_26_149) & h3(all_26_279) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_149 & h3(e11) = all_26_160 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_160, all_26_163) = all_26_148 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e11, e10) = all_26_279 & $i(all_26_148) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_149) & $i(all_26_160) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_279)) | ( ~ (all_26_150 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_152) & h3(all_26_283) = all_26_152 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h3(e14) = all_26_151 & op2(all_26_163,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_151) = all_26_150 & op1(e10, e14) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_283 & $i(all_26_150) & $i(all_26_151) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_152) & $i(all_26_283)) | ( ~
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_153 = all_26_155) & h3(all_26_287) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_155 & h3(e13) = all_26_154 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_163, all_26_154) = all_26_153 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e13) = all_26_287 & $i(all_26_153) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_154) & $i(all_26_155) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_287)) | ( ~ (all_26_156 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_158) & h3(all_26_291) = all_26_158 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h3(e12) = all_26_157 & op2(all_26_163,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_157) = all_26_156 & op1(e10, e12) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_291 & $i(all_26_156) & $i(all_26_157) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_158) & $i(all_26_291)) | ( ~
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_159 = all_26_161) & h3(all_26_295) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_161 & h3(e11) = all_26_160 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_163, all_26_160) = all_26_159 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e11) = all_26_295 & $i(all_26_159) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_160) & $i(all_26_161) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_295)) | ( ~ (all_26_162 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_164) & h3(all_26_299) = all_26_164 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_163, all_26_163) = all_26_162 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e10) = all_26_299 & $i(all_26_162) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_164) & $i(all_26_299)))
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2490) implies:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)  h3(e10) = all_26_163
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)  ( ~ (all_26_148 = all_26_149) & h3(all_26_279) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_149 & h3(e11) = all_26_160 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_163) = all_26_148 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_148) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_149) & $i(all_26_160) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_279)) | ( ~ (all_26_150 = all_26_152)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_283) = all_26_152 & h3(e14) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_151 & op2(all_26_163, all_26_151) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_150 & op1(e10, e14) = all_26_283 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_150) & $i(all_26_151) & $i(all_26_152)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_153 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_155) & h3(all_26_287) = all_26_155 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & op2(all_26_163,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_154) = all_26_153 & op1(e10, e13) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_153) & $i(all_26_154) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_155) & $i(all_26_287)) | ( ~
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_158 & h3(e12) = all_26_157 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_157) = all_26_156 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_156) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_157) & $i(all_26_158) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_159 = all_26_161)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_295) = all_26_161 & h3(e11) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_163, all_26_160) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_159 & op1(e10, e11) = all_26_295 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_159) & $i(all_26_160) & $i(all_26_161)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_162 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_164) & h3(all_26_299) = all_26_164 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_163) = all_26_162 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_162) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_164) & $i(all_26_299))
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_163, e10,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2491) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)  all_26_163 = e22
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2492) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)  ( ~ (all_26_148 = all_26_149) & h3(all_26_279) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_149 & h3(e11) = all_26_160 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_160, all_26_163) = all_26_148 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_148) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_149) & $i(all_26_160) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_279)) | ( ~ (all_26_150 = all_26_152)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_283) = all_26_152 & h3(e14) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_151 & op2(all_26_163, all_26_151) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_150 & op1(e10, e14) = all_26_283 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_150) & $i(all_26_151) & $i(all_26_152)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_153 =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_155) & h3(all_26_287) = all_26_155 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h3(e13) = all_26_154 & op2(all_26_163,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_154) = all_26_153 & op1(e10, e13) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_153) & $i(all_26_154) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_155) & $i(all_26_287))
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2494) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2495)   ~ (all_26_148 = all_26_149) & h3(all_26_279) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_149 & h3(e11) = all_26_160 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_160, all_26_163) = all_26_148 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e10) = all_26_279 & $i(all_26_148) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_149) & $i(all_26_160) & $i(all_26_279)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2495) implies:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2496)   ~ (all_26_148 = all_26_149)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2497)  op1(e11, e10) = all_26_279
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2498)  op2(all_26_160, all_26_163) = all_26_148
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2499)  h3(e11) = all_26_160
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2500)  h3(all_26_279) = all_26_149
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2498) imply:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2501)  op2(all_26_160, e22) = all_26_148
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_279, e10, e11,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2007), (2497) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2502)  all_26_279 = e11
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2499) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2503)  all_26_160 = e22
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2500), (2502) imply:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2504)  h3(e11) = all_26_149
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2501), (2503) imply:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2505)  op2(e22, e22) = all_26_148
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_148, e22, e22,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2505) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2506)  all_26_148 = e22
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_149, e11,
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2504) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2507)  all_26_149 = e22
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2496), (2506), (2507) imply:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2508)  $false
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2508) is inconsistent.
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2509)  ( ~ (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_152 & h3(e14) = all_26_151 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_151) = all_26_150 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e14) = all_26_283 & $i(all_26_150) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_151) & $i(all_26_152) &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_283)) | ( ~ (all_26_153 = all_26_155)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_287) = all_26_155 & h3(e13) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_154 & op2(all_26_163, all_26_154) =
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_153 & op1(e10, e13) = all_26_287 &
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_153) & $i(all_26_154) & $i(all_26_155)
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_287))
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2510)   ~ (all_26_150 = all_26_152) & h3(all_26_283) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_152 & h3(e14) = all_26_151 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_163, all_26_151) = all_26_150 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e14) = all_26_283 & $i(all_26_150) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_151) & $i(all_26_152) & $i(all_26_283)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2511)   ~ (all_26_150 = all_26_152)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2512)  op1(e10, e14) = all_26_283
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2513)  op2(all_26_163, all_26_151) = all_26_150
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2514)  h3(e14) = all_26_151
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2515)  h3(all_26_283) = all_26_152
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2513) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2516)  op2(e22, all_26_151) = all_26_150
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_283, e14, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1975), (2512) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2517)  all_26_283 = e14
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_151, e14,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2514) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2518)  all_26_151 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2515), (2517) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  h3(e14) = all_26_152
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2516), (2518) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2520)  op2(e22, e22) = all_26_150
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_150, e22, e22,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2520) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  all_26_150 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_152, e14,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2162), (2519) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_26_152 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2511), (2521), (2522) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)  $false
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2523) is inconsistent.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)   ~ (all_26_153 = all_26_155) & h3(all_26_287) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_155 & h3(e13) = all_26_154 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_163, all_26_154) = all_26_153 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e13) = all_26_287 & $i(all_26_153) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_154) & $i(all_26_155) & $i(all_26_287)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2524) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)   ~ (all_26_153 = all_26_155)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)  op1(e10, e13) = all_26_287
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)  op2(all_26_163, all_26_154) = all_26_153
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  h3(e13) = all_26_154
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)  h3(all_26_287) = all_26_155
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2527) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  op2(e22, all_26_154) = all_26_153
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_287, e13, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (883), (2526) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  all_26_287 = e13
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_154, e13,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2528) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  all_26_154 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2529), (2531) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  h3(e13) = all_26_155
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2530), (2532) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)  op2(e22, e22) = all_26_153
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_153, e22, e22,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2534) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)  all_26_153 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_155, e13,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (2533) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)  all_26_155 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2525), (2535), (2536) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  $false
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2537) is inconsistent.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)  ( ~ (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_158 & h3(e12) = all_26_157 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_157) = all_26_156 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_156) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_157) & $i(all_26_158) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_159 = all_26_161)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_295) = all_26_161 & h3(e11) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_160 & op2(all_26_163, all_26_160) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_159 & op1(e10, e11) = all_26_295 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_159) & $i(all_26_160) & $i(all_26_161)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_162 =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_164) & h3(all_26_299) = all_26_164 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_163) = all_26_162 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_162) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_164) & $i(all_26_299))
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2538) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)   ~ (all_26_156 = all_26_158) & h3(all_26_291) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_158 & h3(e12) = all_26_157 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_163, all_26_157) = all_26_156 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e12) = all_26_291 & $i(all_26_156) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_157) & $i(all_26_158) & $i(all_26_291)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2539) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)   ~ (all_26_156 = all_26_158)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)  op1(e10, e12) = all_26_291
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  op2(all_26_163, all_26_157) = all_26_156
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  h3(e12) = all_26_157
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  h3(all_26_291) = all_26_158
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2542) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  op2(e22, all_26_157) = all_26_156
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_291, e12, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2049), (2541) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)  all_26_291 = e12
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_157, e12,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2543) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_26_157 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2544), (2546) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  h3(e12) = all_26_158
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (2547) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  op2(e22, e22) = all_26_156
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_156, e22, e22,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2549) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)  all_26_156 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_158, e12,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2165), (2548) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  all_26_158 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2540), (2550), (2551) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  $false
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2552) is inconsistent.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  ( ~ (all_26_159 = all_26_161) & h3(all_26_295) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_161 & h3(e11) = all_26_160 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_163, all_26_160) = all_26_159 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e11) = all_26_295 & $i(all_26_159) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_160) & $i(all_26_161) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_295)) | ( ~ (all_26_162 = all_26_164)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h3(all_26_299) = all_26_164 & op2(all_26_163,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_163) = all_26_162 & op1(e10, e10) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_299 & $i(all_26_162) & $i(all_26_164) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_299))
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2553) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)   ~ (all_26_159 = all_26_161) & h3(all_26_295) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_161 & h3(e11) = all_26_160 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_163, all_26_160) = all_26_159 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e11) = all_26_295 & $i(all_26_159) &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_160) & $i(all_26_161) & $i(all_26_295)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2554) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)   ~ (all_26_159 = all_26_161)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)  op1(e10, e11) = all_26_295
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)  op2(all_26_163, all_26_160) = all_26_159
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)  h3(e11) = all_26_160
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)  h3(all_26_295) = all_26_161
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2557) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  op2(e22, all_26_160) = all_26_159
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_295, e11, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2060), (2556) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  all_26_295 = e11
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_160, e11,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2558) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)  all_26_160 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2559), (2561) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)  h3(e11) = all_26_161
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2560), (2562) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)  op2(e22, e22) = all_26_159
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_159, e22, e22,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2564) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  all_26_159 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_161, e11,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2159), (2563) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_26_161 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2555), (2565), (2566) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  $false
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)   ~ (all_26_162 = all_26_164) & h3(all_26_299) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_164 & op2(all_26_163, all_26_163) =
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_162 & op1(e10, e10) = all_26_299 &
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_162) & $i(all_26_164) & $i(all_26_299)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2568) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)   ~ (all_26_162 = all_26_164)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)  op1(e10, e10) = all_26_299
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)  op2(all_26_163, all_26_163) = all_26_162
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)  h3(all_26_299) = all_26_164
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2571) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)  op2(e22, e22) = all_26_162
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_299, e10, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (866), (2570) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)  all_26_299 = e10
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_26_162, e22, e22,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2157), (2573) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_26_162 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2569), (2575) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)   ~ (all_26_164 = e22)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2576) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)   ~ (all_26_164 = e22)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2572), (2574) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  h3(e10) = all_26_164
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e22, all_26_164, e10,
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2168), (2578) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  all_26_164 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2577), (2579) imply:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  $false
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2580) is inconsistent.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)  all_24_14 = e22 & op2(e21, e22) = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (2124), (2582) are inconsistent by
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  all_24_22 = e22 & op2(e20, e22) = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2583) implies:
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  all_24_22 = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)  op2(e20, e22) = e22
% 236.83/45.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (34), (35), (36),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (65), (66), (73), (74), (76), (83),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (242), (280), (281), (284), (299), (300), (329),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (332), (336), (338), (339), (341), (347),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (349), (350), (435), (436), (438), (439),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (443), (444), (445), (447), (448), (449),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (450), (452), (453), (454), (456), (457), (458),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (470), (471), (472), (477), (478), (584),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (637), (639), (643), (647),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (654), (656), (659), (662), (663),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (665), (669), (671), (677), (679), (681), (683),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (687), (689), (691), (702), (752), (798),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (822), (1839), (1840), (1891),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1917), (1921), (1926), (1938), (2073),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2086), (2089), (2091), (2096), (2098),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2100), (2108), (2112), (2113), (2118), (2124),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2125), (2135), (2142), (2147), (2584), (2585) are
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (671), (2073), (2079), (2135), (2586) are
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #604.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)  all_24_21 = e20 & op2(e20, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (2587) are
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)  all_24_22 = e23 & op2(e20, e22) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2588) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)  op2(e20, e22) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (2091), (2589) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #718.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  all_24_7 = e23 & op2(e22, e23) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (2079), (2590) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e23 & op2(e22, e21) = e23) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2591) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  all_24_8 = e23 & op2(e22, e22) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2592) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  all_24_8 = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)  op2(e22, e22) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e23, e22, e22,
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (2594) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)  all_4_2 = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (2595) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)   ~ (all_16_13 = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2595) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  op2(e22, e23) = all_4_1
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2598)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2598) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2599)  all_24_12 = e23 & op2(e21, e24) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2599) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2600)  all_24_12 = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2601)  op2(e21, e24) = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_3, e23, e24, e21,
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (337), (2601) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2602)  all_16_3 = e23
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, all_4_1, e23,
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (341), (2597) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2603)  all_16_7 = all_4_1
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (2602) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2604)   ~ (all_16_2 = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2605)   ~ (all_16_2 = all_4_1)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (2602) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2606)   ~ (all_16_4 = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (2602) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2607)   ~ (all_16_8 = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2608)   ~ (all_16_8 = all_4_1)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2608) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2609)   ~ (all_16_8 = all_4_1)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2610)   ~ (all_16_22 = all_4_1)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2610) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2611)   ~ (all_16_22 = all_4_1)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2079), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2612)   ~ (all_4_1 = e23)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2613)   ~ (all_4_1 = e22)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (2603) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2614)   ~ (all_4_1 = e21)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2615)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2615) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2616)  all_24_1 = e24 & op2(e24, e23) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (2616) are inconsistent by sub-proof
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2617)  all_24_3 = e24 & op2(e23, e23) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (2617) are inconsistent by sub-proof
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2618)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2618) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2619)  all_24_7 = e24 & op2(e22, e23) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2619) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2620)  all_24_7 = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2621)  op2(e22, e23) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2622)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2622) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2623)  all_24_1 = e20 & op2(e24, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (2623) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2624)  all_24_3 = e20 & op2(e23, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (2624) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2625)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2625) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2626)  all_24_7 = e20 & op2(e22, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2620), (2626) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2627)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2627) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2628)  all_24_13 = e20 & op2(e21, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2628) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2629)  all_24_13 = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2630)  op2(e21, e23) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e20, e23, e21,
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (2630) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2631)  all_16_8 = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e24, e23, e22,
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2597), (2621) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2632)  all_4_1 = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2632) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2633)   ~ (all_16_2 = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (2631) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2634)   ~ (e23 = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (2631) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2635)   ~ (e22 = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (2631) imply:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2636)   ~ (e21 = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2637)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2637) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2638)  all_24_0 = e20 & op2(e24, e24) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2638) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2639)  all_24_0 = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2640)  op2(e24, e24) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2641)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2641) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2642)  all_24_0 = e24 & op2(e24, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2639), (2642) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2643)  all_24_2 = e24 & op2(e23, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (2643) are
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2644)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2644) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2645)  all_24_6 = e24 & op2(e22, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (2633), (2645) are inconsistent by
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #317.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2646)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2646) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2647)  all_24_12 = e24 & op2(e21, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2600), (2647) are inconsistent by sub-proof
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #645.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2648)  all_24_20 = e24 & op2(e20, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2648) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2649)  all_24_20 = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2650)  op2(e20, e24) = e24
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2651)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (2649),
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2651) are inconsistent by sub-proof #359.
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2652)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2653)  all_24_22 = e20 & op2(e20, e22) = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2653) implies:
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2654)  all_24_22 = e20
% 236.83/45.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (347), (349),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (457), (458), (460), (462), (463), (464), (465),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (467), (468), (471), (472), (478), (584),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (654), (656), (671), (684),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1891), (1917),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (2073), (2079), (2086), (2108),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2600), (2620), (2629), (2639), (2649),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2654) are inconsistent by sub-proof #742.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2655)  all_24_23 = e20 & op2(e20, e21) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2655) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_24_23 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2657)  op2(e20, e21) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (654),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (2639), (2658) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #880.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2659) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)  all_24_6 = e21 & op2(e22, e24) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2660) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)  all_24_6 = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)  op2(e22, e24) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e20, e21, e20,
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (2657) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)  all_16_19 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e24, e24, e20,
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (2650) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)  all_16_4 = e24
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e21, e24, e22,
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (2662) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)  all_16_2 = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e20, e24, e24,
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (2640) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)  all_12_2 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2665) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)   ~ (e23 = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1930), (2665) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2668)   ~ (e22 = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2669)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2670)  all_24_9 = e21 & op2(e24, e21) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2670) are inconsistent by sub-proof #864.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2671)  all_24_10 = e21 & op2(e23, e21) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (2671) are inconsistent
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2672)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2672) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2673)  all_24_11 = e21 & op2(e22, e21) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2673) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2674)  all_24_11 = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (471), (635),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2620), (2639), (2649), (2675) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #316.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2676) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)  all_24_8 = e20 & op2(e22, e22) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2677) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)  all_24_8 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2593), (2678) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  e23 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2679) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_24_11 = e20 & op2(e22, e21) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2681) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_24_11 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2674), (2682) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  e21 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2683) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)  e21 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2661), (2684) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)  all_24_6 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (471), (635),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2639), (2649), (2685) are inconsistent by
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #871.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)  all_24_18 = e20 & op2(e22, e20) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2686) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)  all_24_18 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (462), (463), (464),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (469), (471), (477),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (654), (656), (671),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1891), (1917),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (2600), (2629), (2688) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #315.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  all_24_8 = e22 & op2(e22, e22) = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2690) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2691)  all_24_8 = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2593), (2691) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2692)  e23 = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (2692) are inconsistent by
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2693)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2694)  all_24_11 = e22 & op2(e22, e21) = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (2674), (2694) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #794.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  all_24_18 = e22 & op2(e22, e20) = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2687), (2695)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #553.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)  all_24_15 = e21 & op2(e21, e21) = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2697) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)  all_24_15 = e21
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (347), (464), (584), (629), (630), (752),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1926), (2108), (2699) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #371.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2700) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  all_24_11 = e22 & op2(e22, e21) = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2701) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)  all_24_11 = e22
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (471), (635),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2620), (2639), (2649), (2703) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #316.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2704) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  all_24_8 = e20 & op2(e22, e22) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2705) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  all_24_8 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2593), (2706) imply:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  e23 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2707) are
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_24_11 = e20 & op2(e22, e21) = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  all_24_11 = e20
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2702), (2710)
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #786.
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  all_24_18 = e20 & op2(e22, e20) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2711) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)  all_24_18 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)  op2(e22, e20) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e21 & op2(e20, e23) = e21)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (336), (341), (464), (465), (467),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (2073), (2079),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2649), (2714) are inconsistent by sub-proof #356.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2715) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  all_24_22 = e21 & op2(e20, e22) = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2716) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  op2(e20, e22) = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (37), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (2713), (2717) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #319.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  all_24_23 = e21 & op2(e20, e21) = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2719) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  all_24_23 = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2656), (2720) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  e21 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2698), (2721) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  all_24_15 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (449), (450), (462), (463),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (584), (629), (630), (635), (654),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (1891), (1917),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (2108), (2656), (2722) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #367.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  all_24_24 = e21 & op2(e20, e20) = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (34), (35), (36), (37), (39),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (347), (348), (440),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (584), (629), (630), (635), (647), (752),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1891), (1926), (1938), (2712), (2713),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2723) are inconsistent by sub-proof #324.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2724) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_24_15 = e22 & op2(e21, e21) = e22
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (2698), (2725) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #314.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  all_24_23 = e22 & op2(e20, e21) = e22
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2726) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)  all_24_23 = e22
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2656), (2727)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #585.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  all_24_23 = e21 & op2(e20, e21) = e21
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (471), (635),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2639), (2649), (2656), (2661), (2728) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #313.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (2600), (2620), (2649),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2729) are inconsistent by sub-proof #743.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)  all_24_1 = e20 & op2(e24, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (2730) are inconsistent by
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2731) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  all_24_4 = e20 & op2(e24, e22) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (2732) are inconsistent by
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  all_24_9 = e20 & op2(e24, e21) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2108), (2734) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #887.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)  all_24_16 = e20 & op2(e24, e20) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)  op2(e24, e20) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, e20, e20, e24,
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (348), (2736) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  all_16_20 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (35), (37), (39), (46), (47), (61),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (2736) are inconsistent by
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #885.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  all_24_21 = e20 & op2(e20, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (2738) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  all_24_13 = e24 & op2(e21, e23) = e24
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2740) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)  all_24_13 = e24
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  op2(e21, e23) = e24
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2743)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2743) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2744)  all_24_1 = e20 & op2(e24, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (2744) are inconsistent by
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2745)  all_24_3 = e20 & op2(e23, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (2745) are inconsistent by
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2746)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2746) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2747)  all_24_7 = e20 & op2(e22, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2747) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2748)  all_24_7 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2749)  op2(e22, e23) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e24, e23, e21,
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (2742) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2750)  all_16_8 = e24
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e20, e23, e22,
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2597), (2749) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2751)  all_4_1 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (2750) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2752)   ~ (all_16_23 = e24)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2752) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2753)   ~ (all_16_23 = e24)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2611), (2751) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2754)   ~ (all_16_22 = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2612), (2751) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2755)   ~ (e23 = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2613), (2751) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2756)   ~ (e22 = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2614), (2751) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2757)   ~ (e21 = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (2751) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2758)  op2(e20, e22) = all_4_0
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, all_4_0, e22,
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20, simplifying with (330), (2758) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2759)  all_16_14 = all_4_0
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (2759) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2760)   ~ (all_16_4 = all_4_0)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (2759) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2761)   ~ (all_8_2 = all_4_0)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2761) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2762)   ~ (all_8_2 = all_4_0)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2091), (2759) imply:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2763)   ~ (all_4_0 = e23)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2764)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2765)  all_24_9 = e20 & op2(e24, e21) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2108), (2765) are
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #887.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2766)  all_24_10 = e20 & op2(e23, e21) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (2766) are inconsistent
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2767)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2768)  all_24_11 = e20 & op2(e22, e21) = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2768) implies:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2769)  all_24_11 = e20
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2770)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 236.83/46.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (463), (464), (465),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (469), (471), (477), (635), (654),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (803), (807), (1917),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (2086), (2600), (2770) are inconsistent by
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #811.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2771)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2771) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2772)  all_24_8 = e22 & op2(e22, e22) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (2593), (2772) are inconsistent by
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #854.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2773)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2774)  all_24_11 = e22 & op2(e22, e21) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2775)  all_24_11 = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2769), (2775)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #786.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2776)  all_24_18 = e22 & op2(e22, e20) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2776) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2777)  op2(e22, e20) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (339), (453), (454), (456),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (466), (635), (654), (656),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (687), (752), (1917), (1921), (2086),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2741), (2748), (2769), (2777) are
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2778)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2779)  all_24_15 = e20 & op2(e21, e21) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2779) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2780)  all_24_15 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2781)  op2(e21, e21) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e20, e21, e21,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (2781) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2782)  all_6_2 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (2782) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2783)   ~ (all_16_17 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2782) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2784)  op2(e21, e20) = all_6_1
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2785)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2786)  all_24_20 = e20 & op2(e20, e24) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2787)  all_24_20 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2788)  op2(e20, e24) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2789)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2789) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2790)  all_24_16 = e20 & op2(e24, e20) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2790) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2791)  all_24_16 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2792)  op2(e24, e20) = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e20, e24, e20,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (2788) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2793)  all_16_4 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, all_6_1, e20,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (333), (2784) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2794)  all_16_23 = all_6_1
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, e20, e20, e24,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (348), (2792) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2795)  all_16_20 = e20
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (2793) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2796)   ~ (all_16_19 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2796) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2797)   ~ (all_16_19 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2760), (2793) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2798)   ~ (all_4_0 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2798) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2799)   ~ (all_4_0 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (2795) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2800)   ~ (all_16_22 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (2795) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2801)   ~ (all_8_2 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2801) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2802)   ~ (all_8_2 = e20)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2753), (2794) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2803)   ~ (all_6_1 = e24)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2804)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2804) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2805)  all_24_9 = e21 & op2(e24, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2805) are inconsistent by sub-proof #864.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2806)  all_24_10 = e21 & op2(e23, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (2806) are inconsistent
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2807)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2807) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2808)  all_24_11 = e21 & op2(e22, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2808) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2809)  all_24_11 = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2810)  op2(e22, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (34), (35), (36), (37), (38),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (65), (75),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (84), (103), (104), (105), (329),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (435), (438), (439), (442),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (444), (449), (450), (454), (456), (458), (462),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (471),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (477), (478), (584), (629), (630), (635),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (684), (687), (691), (702),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (822), (1891), (1894),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1918), (1921), (1926), (1938), (2073),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2086), (2087), (2093), (2108), (2109),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2594), (2600), (2601), (2741), (2742),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2748), (2749), (2754), (2758), (2763), (2780),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2781), (2784), (2787), (2788), (2791), (2792),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2799), (2802), (2803), (2809), (2810) are
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #297.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2811)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2811) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2812)  all_24_15 = e21 & op2(e21, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2812) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2813)  all_24_15 = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (2780), (2813) are inconsistent by
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_24_23 = e21 & op2(e20, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2814) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2815)  all_24_23 = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2816)  op2(e20, e21) = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2817)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (347), (464), (584), (629), (630), (752),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1926), (2108), (2817) are
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #371.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2818)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2819)  all_24_11 = e22 & op2(e22, e21) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  op2(e22, e21) = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e21, e21, e20,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (2816) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2821)  all_16_19 = e21
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e22, e21, e22,
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (2820) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2822)  all_16_17 = e22
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2100), (2821) imply:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2823)   ~ (e23 = e21)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2824)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2824) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2825)  all_24_4 = e24 & op2(e24, e22) = e24
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (34), (35), (36), (37), (38),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (65), (75),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (84), (103), (104), (105), (329),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (435), (438), (439), (442),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (444), (449), (450), (453), (454), (456), (458),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (584), (629), (630),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (691),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (702), (752), (798), (803), (807), (822), (1891),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1917), (1918), (1921), (1926), (1938),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (2087), (2093), (2108),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2109), (2593), (2594), (2600), (2601), (2741),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2742), (2748), (2749), (2754), (2758), (2763),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2781), (2784), (2787), (2788), (2791),
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2792), (2799), (2802), (2803), (2825) are
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #295.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2826)  all_24_5 = e24 & op2(e23, e22) = e24
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (798), (2826) are inconsistent by sub-proof
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2827)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2828)  all_24_8 = e24 & op2(e22, e22) = e24
% 236.83/46.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (2593), (2741),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2828) are inconsistent by sub-proof #841.
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2829)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2829) gives:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2830)  all_24_14 = e24 & op2(e21, e22) = e24
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2830) implies:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2831)  all_24_14 = e24
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (336), (347), (444), (445), (462),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (584), (629), (630), (635),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (639), (654), (656), (671), (752), (798), (1891),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (2600), (2741), (2780),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2831) are inconsistent by sub-proof #293.
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2832)  all_24_22 = e24 & op2(e20, e22) = e24
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2832) implies:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2833)  all_24_22 = e24
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2834)  op2(e20, e22) = e24
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2835)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (332), (341), (462), (463),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (635), (654),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (803), (807), (1917), (1921),
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1934), (1938), (2079), (2835) are inconsistent by
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #775.
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2836)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2837)  all_24_22 = e22 & op2(e20, e22) = e22
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2838)  all_24_22 = e22
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (2833), (2838) are inconsistent by sub-proof
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #840.
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.83/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2839)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2839) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2840)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (2815), (2840) are
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2841)  all_24_24 = e22 & op2(e20, e20) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2842)  all_24_24 = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2843)  op2(e20, e20) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2844)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (463), (464), (465),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (478), (635), (654), (656), (671), (684),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (807), (1917), (1921), (2108),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2791), (2844) are inconsistent by sub-proof #307.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2845)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2846)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (2593), (2846) are inconsistent by
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #854.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2847)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2847) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2848)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2848) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2849)  all_24_14 = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2850)  op2(e21, e22) = e22
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2851)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2852)  all_24_4 = e21 & op2(e24, e22) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2852) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2853)  all_24_4 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2854)  op2(e24, e22) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2855)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2856)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2856) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2857)  all_24_0 = e24
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2858)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2858) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2859)  all_24_0 = e21 & op2(e24, e24) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2859) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2860)  all_24_0 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (34), (35), (36), (37), (38),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (65), (75),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (84), (103), (104), (105), (329),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (435), (438), (439), (442),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (444), (449), (450), (453), (454), (456), (458),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (584), (629), (630),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (691),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (702), (752), (798), (803), (807), (822), (1891),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1917), (1918), (1921), (1926), (1938),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (2087), (2093), (2108),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2109), (2593), (2594), (2600), (2601), (2741),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2742), (2748), (2749), (2754), (2758), (2763),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2781), (2784), (2787), (2788), (2791),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2792), (2799), (2802), (2803), (2860) are
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #296.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2861)  all_24_2 = e21 & op2(e23, e24) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2861) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2862)  all_24_2 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (2862) are inconsistent by
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1298.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2863)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2863) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2864)  all_24_6 = e21 & op2(e22, e24) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2864) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2865)  op2(e22, e24) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2866)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2866) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2867)  all_24_12 = e21 & op2(e21, e24) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2867) are inconsistent by sub-proof #747.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2868)  all_24_13 = e21 & op2(e21, e23) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2868) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2869)  all_24_13 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2741), (2869) imply:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2870)  e24 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2857), (2870) imply:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2871)  all_24_0 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (34), (35), (36), (37), (38),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (65), (75),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (84), (103), (104), (105), (329),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (435), (438), (439), (442),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (444), (449), (450), (453), (454), (456), (458),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (584), (629), (630),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (691),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (702), (752), (798), (803), (807), (822), (1891),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1917), (1918), (1921), (1926), (1938),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (2087), (2093), (2108),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2109), (2593), (2594), (2600), (2601), (2741),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2742), (2748), (2749), (2754), (2758), (2763),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2781), (2784), (2787), (2788), (2791),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2792), (2799), (2802), (2803), (2871) are
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #296.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2872)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2872) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2873)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (2849), (2873) are
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2874)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2875)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2875) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2876)  all_24_15 = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (2780), (2876) are inconsistent by
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2877)  all_24_19 = e21 & op2(e21, e20) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2877) implies:
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2878)  op2(e21, e20) = e21
% 237.05/46.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e22, e20, e20,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (2843) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2879)  all_8_2 = e22
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_0, e24, e22, e20,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2758), (2834) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2880)  all_4_0 = e24
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_1, e21, e20, e21,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2784), (2878) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2881)  all_6_1 = e21
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_13, e22, e22, e21,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (335), (2850) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2882)  all_16_13 = e22
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e21, e24, e22,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (2865) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2883)  all_16_2 = e21
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_10, e21, e22, e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (350), (2854) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2884)  all_16_10 = e21
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (431) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2885)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2886)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2886) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2887)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (1938), (2854), (2865), (2887) are
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #516.
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2888)  (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2888) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2889)  all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_4) & $i(all_22_32) & $i(all_22_33)
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2889) implies:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2890)   ~ (all_22_32 = all_22_33)
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2891)  op2(e21, e24) = all_22_32
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2892)  op2(e24, e21) = all_22_33
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2109), (2601), (2890), (2891), (2892) are
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2893)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2893) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2894)  all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_6) & $i(all_22_46) & $i(all_22_47)
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2894) implies:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2895)  op2(e24, e20) = all_22_47
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2896)  op2(all_22_47, e20) = e24
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_22_47, e20, e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2792), (2895) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2897)  all_22_47 = e20
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2896), (2897) imply:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2898)  op2(e20, e20) = e24
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, e24, e20, e20,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2843), (2898) gives:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2899)  e24 = e22
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (2899) imply:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2900)  $false
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2900) is inconsistent.
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2901)  all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_8) & $i(all_22_10) & $i(all_22_11)
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2901) implies:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2902)   ~ (all_22_10 = all_22_11)
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2903)  op2(e23, e24) = all_22_10
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2904)  op2(e24, e23) = all_22_11
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (1938), (2902), (2903), (2904) are
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2905)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (47), (61), (1918), (2087), (2742), (2749),
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2854), (2865), (2905) are inconsistent by
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #511.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2906)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2907)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2907) gives:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2908)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2909)  all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_26) & $i(all_22_40) & $i(all_22_41)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2909) implies:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2910)   ~ (all_22_40 = all_22_41)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2911)  op2(e21, e22) = all_22_40
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2912)  op2(e22, e21) = all_22_41
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2820), (2850), (2910), (2911), (2912) are
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #292.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2913)  all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_28) & $i(all_22_54) & $i(all_22_55)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2913) implies:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2914)   ~ (all_22_54 = all_22_55)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2915)  op2(e20, e22) = all_22_54
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2916)  op2(e22, e20) = all_22_55
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (37), (39), (46), (47),
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (2914), (2915), (2916)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #299.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2917) gives:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_30) & $i(all_22_32) & $i(all_22_33)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2918) implies:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)   ~ (all_22_32 = all_22_33)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  op2(e21, e24) = all_22_32
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  op2(e24, e21) = all_22_33
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2109), (2601), (2919), (2920), (2921) are
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2922) gives:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_34) & $i(all_22_36) & $i(all_22_37)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2923) implies:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)   ~ (all_22_36 = all_22_37)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)  op2(e21, e23) = all_22_36
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  op2(e23, e21) = all_22_37
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (2742), (2924), (2925), (2926) are
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)  all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_38) & $i(all_22_40) & $i(all_22_41)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2927) implies:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)   ~ (all_22_40 = all_22_41)
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  op2(e21, e22) = all_22_40
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  op2(e22, e21) = all_22_41
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2820), (2850), (2928), (2929), (2930) are
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #292.
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47))
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2932) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_42) & $i(all_22_58) & $i(all_22_59)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2933) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)   ~ (all_22_58 = all_22_59)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  op2(e20, e21) = all_22_58
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  op2(e21, e20) = all_22_59
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2816), (2878), (2934), (2935), (2936) are
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #608.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_44) & $i(all_22_46) & $i(all_22_47)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2937) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)   ~ (all_22_46 = all_22_47)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  op2(e20, e24) = all_22_46
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)  op2(e24, e20) = all_22_47
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2788), (2792), (2938), (2939), (2940) are
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #301.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)  (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2941) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_48) & $i(all_22_50) & $i(all_22_51)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2942) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)   ~ (all_22_50 = all_22_51)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)  op2(e20, e23) = all_22_50
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  op2(e23, e20) = all_22_51
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (1918), (2087), (2943), (2944), (2945) are
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)  (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2946) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)  all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_52) & $i(all_22_54) & $i(all_22_55)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2947) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)   ~ (all_22_54 = all_22_55)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)  op2(e20, e22) = all_22_54
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)  op2(e22, e20) = all_22_55
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (37), (39), (46), (47),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (2948), (2949), (2950)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #299.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_56) & $i(all_22_58) & $i(all_22_59)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2951) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)   ~ (all_22_58 = all_22_59)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2953)  op2(e20, e21) = all_22_58
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2954)  op2(e21, e20) = all_22_59
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (2816), (2878), (2952), (2953), (2954) are
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #608.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2955)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2956)  all_24_12 = e21 & op2(e21, e24) = e21
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2956) are inconsistent by sub-proof #747.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2957)  all_24_20 = e21 & op2(e20, e24) = e21
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (2787), (2957) are inconsistent by
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #818.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2958)  all_24_1 = e24 & op2(e24, e23) = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2958) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2959)  all_24_1 = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (2959) imply:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2960)  e24 = e22
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2960) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2961)  e24 = e22
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2833), (2961) imply:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2962)  all_24_22 = e22
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (460), (656), (671), (798), (2593),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2849), (2853), (2962) are inconsistent by
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #725.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2963)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2963) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2964)  all_24_4 = e24 & op2(e24, e22) = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (34), (35), (36), (37), (38),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (65), (75),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (83), (84), (103), (104), (105), (329),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (435), (438), (439), (442),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (444), (449), (450), (453), (454), (456), (458),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (584), (629), (630),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (691),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (702), (752), (798), (803), (807), (822), (1891),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1917), (1918), (1921), (1926), (1938),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (2087), (2093), (2108),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2109), (2593), (2594), (2600), (2601), (2741),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2742), (2748), (2749), (2754), (2758), (2763),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2781), (2784), (2787), (2788), (2791),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2792), (2799), (2802), (2803), (2964) are
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #295.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2965)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2966)  all_24_9 = e24 & op2(e24, e21) = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (349), (684), (2966) are inconsistent by
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2967)  all_24_16 = e24 & op2(e24, e20) = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2967) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2968)  all_24_16 = e24
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2791), (2968) imply:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2969)  e24 = e20
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2969) implies:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2970)  e24 = e20
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2833), (2970) imply:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2971)  all_24_22 = e20
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (347), (444), (445),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (457), (458), (460), (462), (463), (464), (465),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (584), (629), (630), (635), (639),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (803), (807),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (2086), (2593),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2741), (2780), (2971) are inconsistent by
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #290.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2972)  all_24_5 = e21 & op2(e23, e22) = e21
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (2972) are inconsistent by
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2973)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2974)  all_24_8 = e21 & op2(e22, e22) = e21
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2974) are inconsistent by sub-proof #758.
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2975)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2975) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2976)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (2849), (2976) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2977)  all_24_22 = e21 & op2(e20, e22) = e21
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2978)  all_24_22 = e21
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2787), (2842), (2978) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #350.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2979)  all_24_22 = e22 & op2(e20, e22) = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2979) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2980)  all_24_22 = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (2833), (2980) are inconsistent by sub-proof
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #840.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2981)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1921), (2780),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2815), (2981) are inconsistent by sub-proof #783.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2982)  all_24_17 = e20 & op2(e23, e20) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2983)  all_24_17 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1921), (2983) are inconsistent by
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #888.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2984)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2984) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2985)  all_24_18 = e20 & op2(e22, e20) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (2754), (2985) are inconsistent by
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2986)  all_24_19 = e20 & op2(e21, e20) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2986) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2987)  all_24_19 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2988)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (347), (464), (584), (629), (630), (639),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (1891), (1917), (1926), (2600), (2988) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #294.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2989)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2989) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2990)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2990) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  all_24_14 = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (444), (463), (464), (465), (635),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2741), (2780), (2987), (2991) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #581.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2992) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2993) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)  all_24_15 = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2780), (2994)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #785.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)  all_24_19 = e22 & op2(e21, e20) = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2995) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)  all_24_19 = e22
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2987), (2996)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #634.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)  all_24_21 = e20 & op2(e20, e23) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (2997) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  all_24_22 = e20 & op2(e20, e22) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2999) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)  all_24_22 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (347), (444), (445),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (457), (458), (460), (462), (463), (464), (465),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (584), (629), (630), (635), (639),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (803), (807),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (2086), (2593),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2600), (2741), (2780), (3000) are inconsistent by
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #290.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)  all_24_23 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (449), (450), (462), (463),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (584), (629), (630), (635), (654),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (1891), (1917),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (2108), (2780), (3002) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #367.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3003) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  all_24_23 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  op2(e20, e21) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e20, e21, e20,
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (3005) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  all_16_19 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (3006) imply:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3007)   ~ (all_16_4 = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (243), (3006) imply:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3008)   ~ (all_16_17 = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3009)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3009) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3010)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3011)  all_24_0 = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3012)  op2(e24, e24) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3013)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3013) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3014)  all_24_12 = e20 & op2(e21, e24) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2600), (3014) are
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #868.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3015)  all_24_13 = e20 & op2(e21, e23) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2741), (3015) are inconsistent by
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #867.
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3016)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3016) gives:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3017)  all_24_14 = e20 & op2(e21, e22) = e20
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.05/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3017) implies:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3018)  all_24_14 = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (349), (457), (458),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (468),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (478), (584), (629), (630), (635), (654),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (684), (752), (798), (803), (807),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (2086), (2108),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2741), (3011), (3018) are inconsistent by
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3019)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3020)  all_24_15 = e20 & op2(e21, e21) = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3020) implies:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3021)  all_24_15 = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (449), (450), (462), (463),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (584), (629), (630), (635), (654),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (1891), (1917),
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (2108), (3004), (3021) are
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #367.
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3022)  all_24_19 = e20 & op2(e21, e20) = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3022) implies:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3023)  all_24_19 = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3024)  op2(e21, e20) = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, e20, e20, e21,
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (333), (3024) gives:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3025)  all_16_23 = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e20, e24, e24,
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (3012) gives:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3026)  all_12_2 = e20
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (3025) imply:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3027)   ~ (all_8_2 = e20)
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3027) implies:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3028)   ~ (all_8_2 = e20)
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (3025) imply:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3029)   ~ (all_6_2 = e20)
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3029) implies:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3030)   ~ (all_6_2 = e20)
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (3026) imply:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3031)  op2(e24, e20) = all_12_1
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, all_12_1, e20,
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e24, simplifying with (348), (3031) gives:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3032)  all_16_20 = all_12_1
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3033)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (347), (464), (584), (629), (630), (752),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1926), (2108), (3033) are
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3034)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3035)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3035) implies:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3036)  all_24_11 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3037)  op2(e22, e21) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3038)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3039)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (3039) are inconsistent by sub-proof #734.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3040)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (3040) are inconsistent
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3041)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3041) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3042)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3036), (3042) are
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #689.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3043)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3043) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3044)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3044) implies:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3045)  op2(e21, e21) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3046)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (347), (464), (584), (629), (630), (639),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (1891), (1917), (1926), (2600), (3046) are
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #294.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3047)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3047) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3048)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3048) implies:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3049)  all_24_14 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e21, e21, e21,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (3045) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3050)  all_6_2 = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e22, e21, e22,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (3037) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3051)  all_16_17 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2105), (3050) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3052)   ~ (e23 = e21)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3050) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3053)  h2(e11) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3050) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3054)  op2(e21, e21) = all_6_1
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3055)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (332), (341), (462), (463),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (635), (654),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (803), (807), (1917), (1921),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1934), (1938), (2079), (3055) are inconsistent by
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #775.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3056)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3056) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3057)  all_24_22 = e22 & op2(e20, e22) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3058)  all_24_22 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (457), (460), (463), (464), (465),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (798), (1917),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (2593), (3049), (3058) are inconsistent by
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3059)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3059) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3060)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3004), (3060)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3061)  all_24_24 = e22 & op2(e20, e20) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3061) implies:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3062)  all_24_24 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3063)  op2(e20, e20) = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e22, e20, e20,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (3063) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3064)  all_8_2 = e22
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_6_1, e21, e21,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3054) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3065)  all_6_1 = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (3065) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3066)  h2(e14) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (3065) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3067)  op2(e21, e21) = all_6_0
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_6_0, e21, e21,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3067) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3068)  all_6_0 = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (3068) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3069)  h2(e12) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3068) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3070)  op2(e21, e21) = all_6_3
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_6_3, e21, e21,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3070) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3071)  all_6_3 = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (3071) imply:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3072)  h2(e10) = e21
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3073)  ( ~ (all_26_165 = all_26_166) & h2(all_26_222) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_166 & h2(e14) = all_26_206 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_206) = all_26_165 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_165) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_166) & $i(all_26_206) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_167 = all_26_168)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_225) = all_26_168 & h2(e14) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_209) = all_26_167 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_167) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_168) & $i(all_26_206) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_169 =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_170) & h2(all_26_228) = all_26_170 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e12) = all_26_212 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_212) = all_26_169 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_169) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_170) & $i(all_26_206) & $i(all_26_212)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228)) | ( ~ (all_26_171 =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_172) & h2(all_26_231) = all_26_172 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e11) = all_26_215 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_215) = all_26_171 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_171) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_172) & $i(all_26_206) & $i(all_26_215)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_231)) | ( ~ (all_26_173 =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_174) & h2(all_26_234) = all_26_174 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e10) = all_26_218 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_218) = all_26_173 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_173) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_174) & $i(all_26_206) & $i(all_26_218)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_234)) | ( ~ (all_26_175 =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_176) & h2(all_26_237) = all_26_176 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_206) = all_26_175 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_175) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_176) & $i(all_26_206) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_237)) | ( ~ (all_26_177 =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_178) & h2(all_26_240) = all_26_178 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & op2(all_26_209,
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_209) = all_26_177 & op1(e13, e13) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_240 & $i(all_26_177) & $i(all_26_178) &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_240)) | ( ~
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_179 = all_26_180) & h2(all_26_243) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_180 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_209, all_26_212) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_179 & op1(e13, e12) = all_26_243 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_179) & $i(all_26_180) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_243)) | ( ~
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_181 = all_26_182) & h2(all_26_246) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_182 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_209, all_26_215) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_181 & op1(e13, e11) = all_26_246 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_181) & $i(all_26_182) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_246)) | ( ~
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_183 = all_26_184) & h2(all_26_249) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_184 & h2(e13) = all_26_209 & h2(e10) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & op2(all_26_209, all_26_218) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_183 & op1(e13, e10) = all_26_249 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_183) & $i(all_26_184) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218) & $i(all_26_249)) | ( ~
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_185 = all_26_186) & h2(all_26_252) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_186 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_206) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_185 & op1(e12, e14) = all_26_252 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_185) & $i(all_26_186) & $i(all_26_206)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_252)) | ( ~
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_187 = all_26_188) & h2(all_26_255) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_188 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_209) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_187 & op1(e12, e13) = all_26_255 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_187) & $i(all_26_188) & $i(all_26_209)
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_255))
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3074)  ( ~ (all_26_165 = all_26_166) & h2(all_26_222) =
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_166 & h2(e14) = all_26_206 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_206) = all_26_165 &
% 237.23/46.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_165) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_166) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_167 = all_26_168)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_225) = all_26_168 & h2(e14) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_209) = all_26_167 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_167) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_168) & $i(all_26_206) & $i(all_26_209)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_169 =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_170) & h2(all_26_228) = all_26_170 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e12) = all_26_212 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_212) = all_26_169 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_169) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_170) & $i(all_26_206) & $i(all_26_212)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228)) | ( ~ (all_26_171 =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_172) & h2(all_26_231) = all_26_172 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e11) = all_26_215 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_215) = all_26_171 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e11) = all_26_231 & $i(all_26_171) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_172) & $i(all_26_206) & $i(all_26_215)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_231)) | ( ~ (all_26_173 =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_174) & h2(all_26_234) = all_26_174 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e10) = all_26_218 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_218) = all_26_173 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e10) = all_26_234 & $i(all_26_173) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_174) & $i(all_26_206) & $i(all_26_218)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_234)) | ( ~ (all_26_175 =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_176) & h2(all_26_237) = all_26_176 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_206) = all_26_175 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e14) = all_26_237 & $i(all_26_175) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_176) & $i(all_26_206) & $i(all_26_209)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_237))
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3075)  ( ~ (all_26_165 = all_26_166) & h2(all_26_222) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_166 & h2(e14) = all_26_206 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_206) = all_26_165 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e14) = all_26_222 & $i(all_26_165) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_166) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_222)) | ( ~ (all_26_167 = all_26_168)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_225) = all_26_168 & h2(e14) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_209) = all_26_167 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e13) = all_26_225 & $i(all_26_167) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_168) & $i(all_26_206) & $i(all_26_209)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_225)) | ( ~ (all_26_169 =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_170) & h2(all_26_228) = all_26_170 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e12) = all_26_212 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_206, all_26_212) = all_26_169 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e14, e12) = all_26_228 & $i(all_26_169) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_170) & $i(all_26_206) & $i(all_26_212)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_228))
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3075) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3076)   ~ (all_26_165 = all_26_166) & h2(all_26_222) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_166 & h2(e14) = all_26_206 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_206, all_26_206) = all_26_165 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e14, e14) = all_26_222 & $i(all_26_165) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_166) & $i(all_26_206) & $i(all_26_222)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3076) implies:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3077)   ~ (all_26_165 = all_26_166)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3078)  op1(e14, e14) = all_26_222
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3079)  op2(all_26_206, all_26_206) = all_26_165
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3080)  h2(e14) = all_26_206
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3081)  h2(all_26_222) = all_26_166
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_222, e14, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1866), (3078) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3082)  all_26_222 = e10
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3080) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3083)  all_26_206 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3081), (3082) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3084)  h2(e10) = all_26_166
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3079), (3083) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3085)  op2(e21, e21) = all_26_165
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_165, e21, e21,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3085) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3086)  all_26_165 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_166, e10,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3084) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3087)  all_26_166 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3077), (3086), (3087) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3088)  $false
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3088) is inconsistent.
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3089)  ( ~ (all_26_167 = all_26_168) & h2(all_26_225) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_168 & h2(e14) = all_26_206 & h2(e13) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & op2(all_26_206, all_26_209) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_167 & op1(e14, e13) = all_26_225 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_167) & $i(all_26_168) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_209) & $i(all_26_225)) | ( ~
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_169 = all_26_170) & h2(all_26_228) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_170 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_206, all_26_212) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_169 & op1(e14, e12) = all_26_228 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_169) & $i(all_26_170) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_228))
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3089) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3090)   ~ (all_26_167 = all_26_168) & h2(all_26_225) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_168 & h2(e14) = all_26_206 & h2(e13) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_209 & op2(all_26_206, all_26_209) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_167 & op1(e14, e13) = all_26_225 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_167) & $i(all_26_168) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_209) & $i(all_26_225)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3090) implies:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3091)   ~ (all_26_167 = all_26_168)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3092)  op1(e14, e13) = all_26_225
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3093)  op2(all_26_206, all_26_209) = all_26_167
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3094)  h2(e13) = all_26_209
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3095)  h2(e14) = all_26_206
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3096)  h2(all_26_225) = all_26_168
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_225, e13, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (45), (3092) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3097)  all_26_225 = e12
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3094) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3098)  all_26_209 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3095) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3099)  all_26_206 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3096), (3097) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3100)  h2(e12) = all_26_168
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3093), (3098), (3099) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3101)  op2(e21, e21) = all_26_167
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_167, e21, e21,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3101) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3102)  all_26_167 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_168, e12,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3100) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3103)  all_26_168 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3091), (3102), (3103) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3104)  $false
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3104) is inconsistent.
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3105)   ~ (all_26_169 = all_26_170) & h2(all_26_228) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_170 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_212 & op2(all_26_206, all_26_212) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_169 & op1(e14, e12) = all_26_228 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_169) & $i(all_26_170) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_212) & $i(all_26_228)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3105) implies:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3106)   ~ (all_26_169 = all_26_170)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3107)  op1(e14, e12) = all_26_228
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3108)  op2(all_26_206, all_26_212) = all_26_169
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3109)  h2(e12) = all_26_212
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3110)  h2(e14) = all_26_206
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3111)  h2(all_26_228) = all_26_170
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_228, e12, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2020), (3107) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3112)  all_26_228 = e11
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3109) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3113)  all_26_212 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3110) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3114)  all_26_206 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3111), (3112) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3115)  h2(e11) = all_26_170
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3113), (3114) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3116)  op2(e21, e21) = all_26_169
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_169, e21, e21,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3116) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3117)  all_26_169 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_170, e11,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3115) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3118)  all_26_170 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3106), (3117), (3118) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3119)  $false
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3119) is inconsistent.
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3120)  ( ~ (all_26_171 = all_26_172) & h2(all_26_231) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_172 & h2(e14) = all_26_206 & h2(e11) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_206, all_26_215) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_171 & op1(e14, e11) = all_26_231 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_171) & $i(all_26_172) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_231)) | ( ~
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_173 = all_26_174) & h2(all_26_234) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_174 & h2(e14) = all_26_206 & h2(e10) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & op2(all_26_206, all_26_218) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_173 & op1(e14, e10) = all_26_234 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_173) & $i(all_26_174) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218) & $i(all_26_234)) | ( ~
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_175 = all_26_176) & h2(all_26_237) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_176 & h2(e14) = all_26_206 & h2(e13) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & op2(all_26_209, all_26_206) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_175 & op1(e13, e14) = all_26_237 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_175) & $i(all_26_176) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_209) & $i(all_26_237))
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3121)   ~ (all_26_171 = all_26_172) & h2(all_26_231) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_172 & h2(e14) = all_26_206 & h2(e11) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_206, all_26_215) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_171 & op1(e14, e11) = all_26_231 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_171) & $i(all_26_172) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_231)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3121) implies:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3122)   ~ (all_26_171 = all_26_172)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3123)  op1(e14, e11) = all_26_231
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3124)  op2(all_26_206, all_26_215) = all_26_171
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3125)  h2(e11) = all_26_215
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3126)  h2(e14) = all_26_206
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3127)  h2(all_26_231) = all_26_172
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_231, e11, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1862), (3123) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3128)  all_26_231 = e13
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3125) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3129)  all_26_215 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3126) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3130)  all_26_206 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3127), (3128) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3131)  h2(e13) = all_26_172
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3124), (3129), (3130) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3132)  op2(e21, e21) = all_26_171
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_171, e21, e21,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3132) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3133)  all_26_171 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_172, e13,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3131) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3134)  all_26_172 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3122), (3133), (3134) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3135)  $false
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3135) is inconsistent.
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3136)  ( ~ (all_26_173 = all_26_174) & h2(all_26_234) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_174 & h2(e14) = all_26_206 & h2(e10) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & op2(all_26_206, all_26_218) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_173 & op1(e14, e10) = all_26_234 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_173) & $i(all_26_174) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218) & $i(all_26_234)) | ( ~
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_175 = all_26_176) & h2(all_26_237) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_176 & h2(e14) = all_26_206 & h2(e13) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & op2(all_26_209, all_26_206) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_175 & op1(e13, e14) = all_26_237 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_175) & $i(all_26_176) & $i(all_26_206)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_209) & $i(all_26_237))
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3136) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3137)   ~ (all_26_173 = all_26_174) & h2(all_26_234) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_174 & h2(e14) = all_26_206 & h2(e10) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_218 & op2(all_26_206, all_26_218) =
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_173 & op1(e14, e10) = all_26_234 &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_173) & $i(all_26_174) & $i(all_26_206) &
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_218) & $i(all_26_234)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3137) implies:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3138)   ~ (all_26_173 = all_26_174)
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3139)  op1(e14, e10) = all_26_234
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3140)  op2(all_26_206, all_26_218) = all_26_173
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3141)  h2(e10) = all_26_218
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3142)  h2(e14) = all_26_206
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3143)  h2(all_26_234) = all_26_174
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_234, e10, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2011), (3139) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3144)  all_26_234 = e14
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3141) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3145)  all_26_218 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3142) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3146)  all_26_206 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3143), (3144) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3147)  h2(e14) = all_26_174
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3140), (3145), (3146) imply:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3148)  op2(e21, e21) = all_26_173
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_173, e21, e21,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3148) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3149)  all_26_173 = e21
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_174, e14,
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3147) gives:
% 237.23/46.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3150)  all_26_174 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3138), (3149), (3150) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3151)  $false
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3151) is inconsistent.
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3152)   ~ (all_26_175 = all_26_176) & h2(all_26_237) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_176 & h2(e14) = all_26_206 & h2(e13) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_209 & op2(all_26_209, all_26_206) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_175 & op1(e13, e14) = all_26_237 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_175) & $i(all_26_176) & $i(all_26_206) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_209) & $i(all_26_237)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3152) implies:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3153)   ~ (all_26_175 = all_26_176)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3154)  op1(e13, e14) = all_26_237
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3155)  op2(all_26_209, all_26_206) = all_26_175
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3156)  h2(e13) = all_26_209
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3157)  h2(e14) = all_26_206
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3158)  h2(all_26_237) = all_26_176
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_237, e14, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (863), (3154) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3159)  all_26_237 = e12
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3156) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3160)  all_26_209 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3157) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3161)  all_26_206 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3158), (3159) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3162)  h2(e12) = all_26_176
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3155), (3160), (3161) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3163)  op2(e21, e21) = all_26_175
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_175, e21, e21,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3163) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3164)  all_26_175 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_176, e12,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3162) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3165)  all_26_176 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3153), (3164), (3165) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3166)  $false
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3166) is inconsistent.
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3167)  ( ~ (all_26_177 = all_26_178) & h2(all_26_240) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_178 & h2(e13) = all_26_209 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_209) = all_26_177 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_177) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_178) & $i(all_26_209) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_240)) | ( ~ (all_26_179 = all_26_180)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_243) = all_26_180 & h2(e13) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_212) = all_26_179 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_179) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_180) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_243)) | ( ~ (all_26_181 =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_182) & h2(all_26_246) = all_26_182 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_215) = all_26_181 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_181) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_182) & $i(all_26_209) & $i(all_26_215)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_246)) | ( ~ (all_26_183 =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_184) & h2(all_26_249) = all_26_184 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e10) = all_26_218 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_218) = all_26_183 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e10) = all_26_249 & $i(all_26_183) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_184) & $i(all_26_209) & $i(all_26_218)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_249)) | ( ~ (all_26_185 =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_186) & h2(all_26_252) = all_26_186 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e12) = all_26_212 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_206) = all_26_185 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e14) = all_26_252 & $i(all_26_185) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_186) & $i(all_26_206) & $i(all_26_212)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_252)) | ( ~ (all_26_187 =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_188) & h2(all_26_255) = all_26_188 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_209) = all_26_187 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e13) = all_26_255 & $i(all_26_187) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_188) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_255))
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3168)  ( ~ (all_26_177 = all_26_178) & h2(all_26_240) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_178 & h2(e13) = all_26_209 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_209) = all_26_177 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e13) = all_26_240 & $i(all_26_177) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_178) & $i(all_26_209) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_240)) | ( ~ (all_26_179 = all_26_180)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_243) = all_26_180 & h2(e13) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_212) = all_26_179 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e12) = all_26_243 & $i(all_26_179) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_180) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_243)) | ( ~ (all_26_181 =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_182) & h2(all_26_246) = all_26_182 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_209, all_26_215) = all_26_181 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e13, e11) = all_26_246 & $i(all_26_181) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_182) & $i(all_26_209) & $i(all_26_215)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_246))
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3169)   ~ (all_26_177 = all_26_178) & h2(all_26_240) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_178 & h2(e13) = all_26_209 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_209, all_26_209) = all_26_177 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e13, e13) = all_26_240 & $i(all_26_177) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_178) & $i(all_26_209) & $i(all_26_240)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3170)   ~ (all_26_177 = all_26_178)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3171)  op1(e13, e13) = all_26_240
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3172)  op2(all_26_209, all_26_209) = all_26_177
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3173)  h2(e13) = all_26_209
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3174)  h2(all_26_240) = all_26_178
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_240, e13, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (3171) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3175)  all_26_240 = e11
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3173) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3176)  all_26_209 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3174), (3175) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3177)  h2(e11) = all_26_178
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3172), (3176) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3178)  op2(e21, e21) = all_26_177
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_177, e21, e21,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3178) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3179)  all_26_177 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_178, e11,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3177) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3180)  all_26_178 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3170), (3179), (3180) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3181)  $false
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3181) is inconsistent.
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3182)  ( ~ (all_26_179 = all_26_180) & h2(all_26_243) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_180 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_209, all_26_212) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_179 & op1(e13, e12) = all_26_243 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_179) & $i(all_26_180) & $i(all_26_209)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_243)) | ( ~
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_181 = all_26_182) & h2(all_26_246) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_182 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_209, all_26_215) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_181 & op1(e13, e11) = all_26_246 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_181) & $i(all_26_182) & $i(all_26_209)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_246))
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3182) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3183)   ~ (all_26_179 = all_26_180) & h2(all_26_243) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_180 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_212 & op2(all_26_209, all_26_212) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_179 & op1(e13, e12) = all_26_243 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_179) & $i(all_26_180) & $i(all_26_209) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_212) & $i(all_26_243)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3183) implies:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3184)   ~ (all_26_179 = all_26_180)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3185)  op1(e13, e12) = all_26_243
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3186)  op2(all_26_209, all_26_212) = all_26_179
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3187)  h2(e12) = all_26_212
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3188)  h2(e13) = all_26_209
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3189)  h2(all_26_243) = all_26_180
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_243, e12, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (3185) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3190)  all_26_243 = e10
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3187) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3191)  all_26_212 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3188) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3192)  all_26_209 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3189), (3190) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3193)  h2(e10) = all_26_180
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3186), (3191), (3192) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3194)  op2(e21, e21) = all_26_179
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_179, e21, e21,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3194) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3195)  all_26_179 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_180, e10,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3193) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3196)  all_26_180 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3184), (3195), (3196) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3197)  $false
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3197) is inconsistent.
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3198)   ~ (all_26_181 = all_26_182) & h2(all_26_246) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_182 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_209, all_26_215) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_181 & op1(e13, e11) = all_26_246 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_181) & $i(all_26_182) & $i(all_26_209) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_246)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3199)   ~ (all_26_181 = all_26_182)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3200)  op1(e13, e11) = all_26_246
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3201)  op2(all_26_209, all_26_215) = all_26_181
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3202)  h2(e11) = all_26_215
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3203)  h2(e13) = all_26_209
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3204)  h2(all_26_246) = all_26_182
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_246, e11, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (42), (3200) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3205)  all_26_246 = e14
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3202) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3206)  all_26_215 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3203) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3207)  all_26_209 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3204), (3205) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3208)  h2(e14) = all_26_182
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3201), (3206), (3207) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3209)  op2(e21, e21) = all_26_181
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_181, e21, e21,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3209) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3210)  all_26_181 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_182, e14,
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3208) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3211)  all_26_182 = e21
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3199), (3210), (3211) imply:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3212)  $false
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3212) is inconsistent.
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3213)  ( ~ (all_26_183 = all_26_184) & h2(all_26_249) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_184 & h2(e13) = all_26_209 & h2(e10) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & op2(all_26_209, all_26_218) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_183 & op1(e13, e10) = all_26_249 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_183) & $i(all_26_184) & $i(all_26_209)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218) & $i(all_26_249)) | ( ~
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_185 = all_26_186) & h2(all_26_252) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_186 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_206) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_185 & op1(e12, e14) = all_26_252 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_185) & $i(all_26_186) & $i(all_26_206)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_252)) | ( ~
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_187 = all_26_188) & h2(all_26_255) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_188 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_209) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_187 & op1(e12, e13) = all_26_255 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_187) & $i(all_26_188) & $i(all_26_209)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_255))
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3213) gives:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3214)   ~ (all_26_183 = all_26_184) & h2(all_26_249) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_184 & h2(e13) = all_26_209 & h2(e10) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_218 & op2(all_26_209, all_26_218) =
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_183 & op1(e13, e10) = all_26_249 &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_183) & $i(all_26_184) & $i(all_26_209) &
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_218) & $i(all_26_249)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3214) implies:
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3215)   ~ (all_26_183 = all_26_184)
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3216)  op1(e13, e10) = all_26_249
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3217)  op2(all_26_209, all_26_218) = all_26_183
% 237.23/46.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3218)  h2(e10) = all_26_218
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3219)  h2(e13) = all_26_209
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3220)  h2(all_26_249) = all_26_184
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_249, e10, e13,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (844), (3216) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3221)  all_26_249 = e13
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3218) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3222)  all_26_218 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3219) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3223)  all_26_209 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3220), (3221) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3224)  h2(e13) = all_26_184
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3217), (3222), (3223) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3225)  op2(e21, e21) = all_26_183
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_183, e21, e21,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3225) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3226)  all_26_183 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_184, e13,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3224) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3227)  all_26_184 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3215), (3226), (3227) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3228)  $false
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3228) is inconsistent.
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3229)  ( ~ (all_26_185 = all_26_186) & h2(all_26_252) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_186 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_206) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_185 & op1(e12, e14) = all_26_252 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_185) & $i(all_26_186) & $i(all_26_206)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_252)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_187 = all_26_188) & h2(all_26_255) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_188 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & op2(all_26_212, all_26_209) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_187 & op1(e12, e13) = all_26_255 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_187) & $i(all_26_188) & $i(all_26_209)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_212) & $i(all_26_255))
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3229) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3230)   ~ (all_26_185 = all_26_186) & h2(all_26_252) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_186 & h2(e14) = all_26_206 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_212 & op2(all_26_212, all_26_206) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_185 & op1(e12, e14) = all_26_252 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_185) & $i(all_26_186) & $i(all_26_206) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_212) & $i(all_26_252)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3230) implies:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3231)   ~ (all_26_185 = all_26_186)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3232)  op1(e12, e14) = all_26_252
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3233)  op2(all_26_212, all_26_206) = all_26_185
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3234)  h2(e12) = all_26_212
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3235)  h2(e14) = all_26_206
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3236)  h2(all_26_252) = all_26_186
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_252, e14, e12,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1965), (3232) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3237)  all_26_252 = e11
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3234) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3238)  all_26_212 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3235) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3239)  all_26_206 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3236), (3237) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3240)  h2(e11) = all_26_186
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3233), (3238), (3239) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3241)  op2(e21, e21) = all_26_185
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_185, e21, e21,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3241) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3242)  all_26_185 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_186, e11,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3240) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3243)  all_26_186 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3231), (3242), (3243) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3244)  $false
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3244) is inconsistent.
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3245)   ~ (all_26_187 = all_26_188) & h2(all_26_255) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_188 & h2(e13) = all_26_209 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_212 & op2(all_26_212, all_26_209) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_187 & op1(e12, e13) = all_26_255 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_187) & $i(all_26_188) & $i(all_26_209) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_212) & $i(all_26_255)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3245) implies:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3246)   ~ (all_26_187 = all_26_188)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3247)  op1(e12, e13) = all_26_255
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3248)  op2(all_26_212, all_26_209) = all_26_187
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3249)  h2(e12) = all_26_212
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3250)  h2(e13) = all_26_209
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3251)  h2(all_26_255) = all_26_188
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_255, e13, e12,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1979), (3247) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3252)  all_26_255 = e14
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3249) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3253)  all_26_212 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3250) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3254)  all_26_209 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3251), (3252) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3255)  h2(e14) = all_26_188
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3248), (3253), (3254) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3256)  op2(e21, e21) = all_26_187
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_187, e21, e21,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3256) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3257)  all_26_187 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_188, e14,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3255) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3258)  all_26_188 = e21
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3246), (3257), (3258) imply:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3259)  $false
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3259) is inconsistent.
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3260)  ( ~ (all_26_189 = all_26_190) & h2(all_26_258) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_190 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_212) = all_26_189 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_189) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_190) & $i(all_26_212) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_191 = all_26_192)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_261) = all_26_192 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_215) = all_26_191 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_191) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_192) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_193 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_194) & h2(all_26_264) = all_26_194 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_218) = all_26_193 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_193) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_194) & $i(all_26_212) & $i(all_26_218)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264)) | ( ~ (all_26_195 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_196) & h2(all_26_267) = all_26_196 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_206) = all_26_195 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_195) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_196) & $i(all_26_206) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_267)) | ( ~ (all_26_197 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_198) & h2(all_26_270) = all_26_198 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_209) = all_26_197 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_197) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_198) & $i(all_26_209) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_270)) | ( ~ (all_26_199 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_200) & h2(all_26_273) = all_26_200 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_212) = all_26_199 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_199) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_200) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_273)) | ( ~ (all_26_201 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_202) & h2(all_26_276) = all_26_202 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & op2(all_26_215,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_215) = all_26_201 & op1(e11, e11) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_276 & $i(all_26_201) & $i(all_26_202) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_215) & $i(all_26_276)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e24) &  ~ (all_26_209 = e24) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e24) &  ~ (all_26_215 = e24) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e24) & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e23) &  ~ (all_26_209 = e23) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e23) &  ~ (all_26_215 = e23) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e23) & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e22) &  ~ (all_26_209 = e22) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e22) &  ~ (all_26_215 = e22) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e22) & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e21) &  ~ (all_26_209 = e21) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e21) &  ~ (all_26_215 = e21) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e21) & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e20) &  ~ (all_26_209 = e20) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e20) &  ~ (all_26_215 = e20) &  ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e20) & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | (h2(e10) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & $i(all_26_218) & (( ~ (all_26_203 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_204) & h2(all_26_279) = all_26_204
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_215,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_218) = all_26_203 & op1(e11, e10) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_203) & $i(all_26_204)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_215) & $i(all_26_279)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_207 & h2(e14) = all_26_206 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_206) = all_26_205 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_205)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_206) & $i(all_26_207) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_208 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_210) & h2(all_26_287) = all_26_210
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e13) = all_26_209 & op2(all_26_218,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_209) = all_26_208 & op1(e10, e13) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_208) & $i(all_26_209)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_210) & $i(all_26_287)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_213 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_212) = all_26_211 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_211)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_212) & $i(all_26_213) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_214 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_216) & h2(all_26_295) = all_26_216
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_218,
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_215) = all_26_214 & op1(e10, e11) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_214) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_216) & $i(all_26_295)) | ( ~
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_217 = all_26_219) & h2(all_26_299) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_219 & op2(all_26_218, all_26_218) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_217 & op1(e10, e10) = all_26_299 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_217) & $i(all_26_219) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3260) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3261)  ( ~ (all_26_189 = all_26_190) & h2(all_26_258) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_190 & h2(e12) = all_26_212 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_212) = all_26_189 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_189) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_190) & $i(all_26_212) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_191 = all_26_192)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_261) = all_26_192 & h2(e12) =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_215) = all_26_191 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_191) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_192) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_193 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_194) & h2(all_26_264) = all_26_194 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e10) = all_26_218 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_218) = all_26_193 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_193) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_194) & $i(all_26_212) & $i(all_26_218)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264)) | ( ~ (all_26_195 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_196) & h2(all_26_267) = all_26_196 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_206) = all_26_195 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e14) = all_26_267 & $i(all_26_195) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_196) & $i(all_26_206) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_267)) | ( ~ (all_26_197 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_198) & h2(all_26_270) = all_26_198 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_209) = all_26_197 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e13) = all_26_270 & $i(all_26_197) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_198) & $i(all_26_209) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_270)) | ( ~ (all_26_199 =
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_200) & h2(all_26_273) = all_26_200 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_212) = all_26_199 &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e12) = all_26_273 & $i(all_26_199) &
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_200) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_273))
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3261) gives:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3262)  ( ~ (all_26_189 = all_26_190) & h2(all_26_258) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_190 & h2(e12) = all_26_212 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_212) = all_26_189 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e12) = all_26_258 & $i(all_26_189) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_190) & $i(all_26_212) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_258)) | ( ~ (all_26_191 = all_26_192)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_261) = all_26_192 & h2(e12) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_215) = all_26_191 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e11) = all_26_261 & $i(all_26_191) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_192) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_261)) | ( ~ (all_26_193 =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_194) & h2(all_26_264) = all_26_194 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e10) = all_26_218 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_212, all_26_218) = all_26_193 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e12, e10) = all_26_264 & $i(all_26_193) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_194) & $i(all_26_212) & $i(all_26_218)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_264))
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3262) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3263)   ~ (all_26_189 = all_26_190) & h2(all_26_258) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_190 & h2(e12) = all_26_212 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_212, all_26_212) = all_26_189 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e12, e12) = all_26_258 & $i(all_26_189) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_190) & $i(all_26_212) & $i(all_26_258)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3263) implies:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3264)   ~ (all_26_189 = all_26_190)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3265)  op1(e12, e12) = all_26_258
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3266)  op2(all_26_212, all_26_212) = all_26_189
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3267)  h2(e12) = all_26_212
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3268)  h2(all_26_258) = all_26_190
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_258, e12, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1888), (3265) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3269)  all_26_258 = e13
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3267) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3270)  all_26_212 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3268), (3269) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3271)  h2(e13) = all_26_190
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3266), (3270) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3272)  op2(e21, e21) = all_26_189
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_189, e21, e21,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3272) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3273)  all_26_189 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_190, e13,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3271) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3274)  all_26_190 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3264), (3273), (3274) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3275)  $false
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3275) is inconsistent.
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3276)  ( ~ (all_26_191 = all_26_192) & h2(all_26_261) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_192 & h2(e12) = all_26_212 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_212, all_26_215) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_191 & op1(e12, e11) = all_26_261 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_191) & $i(all_26_192) & $i(all_26_212)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_261)) | ( ~
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_193 = all_26_194) & h2(all_26_264) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_194 & h2(e12) = all_26_212 & h2(e10) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & op2(all_26_212, all_26_218) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_193 & op1(e12, e10) = all_26_264 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_193) & $i(all_26_194) & $i(all_26_212)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218) & $i(all_26_264))
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3276) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3277)   ~ (all_26_191 = all_26_192) & h2(all_26_261) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_192 & h2(e12) = all_26_212 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_212, all_26_215) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_191 & op1(e12, e11) = all_26_261 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_191) & $i(all_26_192) & $i(all_26_212) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_261)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3277) implies:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3278)   ~ (all_26_191 = all_26_192)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3279)  op1(e12, e11) = all_26_261
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3280)  op2(all_26_212, all_26_215) = all_26_191
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3281)  h2(e11) = all_26_215
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3282)  h2(e12) = all_26_212
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3283)  h2(all_26_261) = all_26_192
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_261, e11, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1949), (3279) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3284)  all_26_261 = e10
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3281) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3285)  all_26_215 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3282) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3286)  all_26_212 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3283), (3284) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3287)  h2(e10) = all_26_192
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3280), (3285), (3286) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3288)  op2(e21, e21) = all_26_191
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_191, e21, e21,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3288) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3289)  all_26_191 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_192, e10,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3287) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3290)  all_26_192 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3278), (3289), (3290) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3291)  $false
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3291) is inconsistent.
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3292)   ~ (all_26_193 = all_26_194) & h2(all_26_264) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_194 & h2(e12) = all_26_212 & h2(e10) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_218 & op2(all_26_212, all_26_218) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_193 & op1(e12, e10) = all_26_264 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_193) & $i(all_26_194) & $i(all_26_212) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_218) & $i(all_26_264)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3292) implies:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3293)   ~ (all_26_193 = all_26_194)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3294)  op1(e12, e10) = all_26_264
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3295)  op2(all_26_212, all_26_218) = all_26_193
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3296)  h2(e10) = all_26_218
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3297)  h2(e12) = all_26_212
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3298)  h2(all_26_264) = all_26_194
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_264, e10, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1961), (3294) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3299)  all_26_264 = e12
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3296) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3300)  all_26_218 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3297) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3301)  all_26_212 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3298), (3299) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3302)  h2(e12) = all_26_194
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3295), (3300), (3301) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3303)  op2(e21, e21) = all_26_193
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_193, e21, e21,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3303) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3304)  all_26_193 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_194, e12,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3302) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3305)  all_26_194 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3293), (3304), (3305) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3306)  $false
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3306) is inconsistent.
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3307)  ( ~ (all_26_195 = all_26_196) & h2(all_26_267) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_196 & h2(e14) = all_26_206 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_215, all_26_206) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_195 & op1(e11, e14) = all_26_267 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_195) & $i(all_26_196) & $i(all_26_206)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_267)) | ( ~
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_197 = all_26_198) & h2(all_26_270) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_198 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_215, all_26_209) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_197 & op1(e11, e13) = all_26_270 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_197) & $i(all_26_198) & $i(all_26_209)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_270)) | ( ~
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_199 = all_26_200) & h2(all_26_273) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_200 & h2(e12) = all_26_212 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_215, all_26_212) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_199 & op1(e11, e12) = all_26_273 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_199) & $i(all_26_200) & $i(all_26_212)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_273))
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3307) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3308)   ~ (all_26_195 = all_26_196) & h2(all_26_267) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_196 & h2(e14) = all_26_206 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_215, all_26_206) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_195 & op1(e11, e14) = all_26_267 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_195) & $i(all_26_196) & $i(all_26_206) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_267)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3308) implies:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3309)   ~ (all_26_195 = all_26_196)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3310)  op1(e11, e14) = all_26_267
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3311)  op2(all_26_215, all_26_206) = all_26_195
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3312)  h2(e11) = all_26_215
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3313)  h2(e14) = all_26_206
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3314)  h2(all_26_267) = all_26_196
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_267, e14, e11,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1883), (3310) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3315)  all_26_267 = e13
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3312) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3316)  all_26_215 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3313) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3317)  all_26_206 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3314), (3315) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3318)  h2(e13) = all_26_196
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3316), (3317) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3319)  op2(e21, e21) = all_26_195
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_195, e21, e21,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3319) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3320)  all_26_195 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_196, e13,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3318) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3321)  all_26_196 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3320), (3321) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3322)  $false
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3322) is inconsistent.
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3323)  ( ~ (all_26_197 = all_26_198) & h2(all_26_270) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_198 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_215, all_26_209) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_197 & op1(e11, e13) = all_26_270 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_197) & $i(all_26_198) & $i(all_26_209)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_270)) | ( ~
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_199 = all_26_200) & h2(all_26_273) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_200 & h2(e12) = all_26_212 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_215, all_26_212) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_199 & op1(e11, e12) = all_26_273 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_199) & $i(all_26_200) & $i(all_26_212)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_273))
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3323) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3324)   ~ (all_26_197 = all_26_198) & h2(all_26_270) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_198 & h2(e13) = all_26_209 & h2(e11) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_215, all_26_209) =
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_197 & op1(e11, e13) = all_26_270 &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_197) & $i(all_26_198) & $i(all_26_209) &
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_270)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3324) implies:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3325)   ~ (all_26_197 = all_26_198)
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3326)  op1(e11, e13) = all_26_270
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3327)  op2(all_26_215, all_26_209) = all_26_197
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3328)  h2(e11) = all_26_215
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3329)  h2(e13) = all_26_209
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3330)  h2(all_26_270) = all_26_198
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_270, e13, e11,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1987), (3326) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3331)  all_26_270 = e10
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3328) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3332)  all_26_215 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3329) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3333)  all_26_209 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3330), (3331) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3334)  h2(e10) = all_26_198
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3327), (3332), (3333) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3335)  op2(e21, e21) = all_26_197
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_197, e21, e21,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3335) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3336)  all_26_197 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_198, e10,
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3334) gives:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3337)  all_26_198 = e21
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3325), (3336), (3337) imply:
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3338)  $false
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3338) is inconsistent.
% 237.23/46.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3339)   ~ (all_26_199 = all_26_200) & h2(all_26_273) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_200 & h2(e12) = all_26_212 & h2(e11) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_215 & op2(all_26_215, all_26_212) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_199 & op1(e11, e12) = all_26_273 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_199) & $i(all_26_200) & $i(all_26_212) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_273)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3339) implies:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3340)   ~ (all_26_199 = all_26_200)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3341)  op1(e11, e12) = all_26_273
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3342)  op2(all_26_215, all_26_212) = all_26_199
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3343)  h2(e11) = all_26_215
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3344)  h2(e12) = all_26_212
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3345)  h2(all_26_273) = all_26_200
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_273, e12, e11,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2029), (3341) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3346)  all_26_273 = e14
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3343) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3347)  all_26_215 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3344) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3348)  all_26_212 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3345), (3346) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3349)  h2(e14) = all_26_200
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3347), (3348) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3350)  op2(e21, e21) = all_26_199
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_199, e21, e21,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3350) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3351)  all_26_199 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_200, e14,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3349) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3352)  all_26_200 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3351), (3352) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3353)  $false
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3353) is inconsistent.
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3354)  ( ~ (all_26_201 = all_26_202) & h2(all_26_276) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_202 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_215) = all_26_201 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_201) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_202) & $i(all_26_215) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_276)) | ( ~ (all_26_206 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e24) &  ~ (all_26_212 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e24) &  ~ (all_26_218 = e24) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | ( ~ (all_26_206 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e23) &  ~ (all_26_212 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e23) &  ~ (all_26_218 = e23) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | ( ~ (all_26_206 = e22) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e22) &  ~ (all_26_212 = e22) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e22) &  ~ (all_26_218 = e22) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | ( ~ (all_26_206 = e21) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e21) &  ~ (all_26_212 = e21) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e21) &  ~ (all_26_218 = e21) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | ( ~ (all_26_206 = e20) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e20) &  ~ (all_26_212 = e20) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e20) &  ~ (all_26_218 = e20) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | (h2(e10) = all_26_218 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_218) & (( ~ (all_26_203 = all_26_204)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(all_26_279) = all_26_204 & h2(e11) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_215 & op2(all_26_215, all_26_218) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_203 & op1(e11, e10) = all_26_279 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_203) & $i(all_26_204) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_215) & $i(all_26_279)) | ( ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_207 & h2(e14) = all_26_206 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_206) = all_26_205 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_205)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_206) & $i(all_26_207) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_208 =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_210) & h2(all_26_287) = all_26_210
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e13) = all_26_209 & op2(all_26_218,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_209) = all_26_208 & op1(e10, e13) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_208) & $i(all_26_209)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_210) & $i(all_26_287)) | ( ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_213 & h2(e12) = all_26_212 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_212) = all_26_211 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_211)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_212) & $i(all_26_213) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_214 =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_216) & h2(all_26_295) = all_26_216
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_218,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_215) = all_26_214 & op1(e10, e11) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_214) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_216) & $i(all_26_295)) | ( ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_217 = all_26_219) & h2(all_26_299) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_219 & op2(all_26_218, all_26_218) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_217 & op1(e10, e10) = all_26_299 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_217) & $i(all_26_219) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3354) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3355)  ( ~ (all_26_201 = all_26_202) & h2(all_26_276) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_202 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_215) = all_26_201 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e11) = all_26_276 & $i(all_26_201) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_202) & $i(all_26_215) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_276)) | ( ~ (all_26_206 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e24) &  ~ (all_26_212 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e24) &  ~ (all_26_218 = e24) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218)) | ( ~ (all_26_206 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_209 = e23) &  ~ (all_26_212 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_215 = e23) &  ~ (all_26_218 = e23) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e14) = all_26_206 & h2(e13) = all_26_209 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e12) = all_26_212 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e10) = all_26_218 & $i(all_26_206) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_209) & $i(all_26_212) & $i(all_26_215)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_218))
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3355) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3356)   ~ (all_26_201 = all_26_202) & h2(all_26_276) =
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_202 & h2(e11) = all_26_215 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_215, all_26_215) = all_26_201 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e11) = all_26_276 & $i(all_26_201) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_202) & $i(all_26_215) & $i(all_26_276)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3356) implies:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3357)   ~ (all_26_201 = all_26_202)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3358)  op1(e11, e11) = all_26_276
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3359)  op2(all_26_215, all_26_215) = all_26_201
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3360)  h2(e11) = all_26_215
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3361)  h2(all_26_276) = all_26_202
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_276, e11, e11,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2042), (3358) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3362)  all_26_276 = e12
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3360) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3363)  all_26_215 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3361), (3362) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3364)  h2(e12) = all_26_202
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3359), (3363) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3365)  op2(e21, e21) = all_26_201
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_201, e21, e21,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3365) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3366)  all_26_201 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_202, e12,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3364) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3367)  all_26_202 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3357), (3366), (3367) imply:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3368)  $false
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3368) is inconsistent.
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3369)  ( ~ (all_26_206 = e24) &  ~ (all_26_209 = e24) & 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_212 = e24) &  ~ (all_26_215 = e24) & 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_218 = e24) & h2(e14) = all_26_206 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e23) &  ~ (all_26_209 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e23) &  ~ (all_26_215 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e23) & h2(e14) = all_26_206 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218))
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3370)   ~ (all_26_206 = e24) &  ~ (all_26_209 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_212 = e24) &  ~ (all_26_215 = e24) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_218 = e24) & h2(e14) = all_26_206 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_218)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3370) implies:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3371)   ~ (all_26_218 = e24)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3372)  h2(e10) = all_26_218
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3372) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3373)  all_26_218 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (16), (17), (18), (34), (35), (36), (37),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (329),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (435), (438), (442), (453),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (635), (654), (656),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (684), (691), (752), (798), (807), (822),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1938), (2073), (2079), (2086),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2593), (2600), (2741), (3004), (3011),
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3023), (3036), (3049), (3062), (3063) are
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3374)   ~ (all_26_206 = e23) &  ~ (all_26_209 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_212 = e23) &  ~ (all_26_215 = e23) &  ~
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_218 = e23) & h2(e14) = all_26_206 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_218)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3374) implies:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3375)   ~ (all_26_218 = e23)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3376)  h2(e10) = all_26_218
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3376) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3377)  all_26_218 = e21
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3378)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3378) gives:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3379)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (3011), (3379) are inconsistent by
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3380)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.23/46.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (3380) are
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3381)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3381) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3382)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3382) implies:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3383)  all_24_6 = e24
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (34), (35), (36), (37), (38), (39),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (453), (462), (463),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (635), (654), (656), (671),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (822), (1917), (1921), (1938),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2593), (2741), (3036), (3383) are
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #523.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3384)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3385)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2600), (3385) are inconsistent by sub-proof
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #645.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3386)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3386) implies:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3387)  all_24_20 = e24
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (16), (17), (18), (34), (35), (36), (37),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (329),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (435), (438), (442), (460),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (467), (471), (472), (478),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (691), (752),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (807), (822), (1917), (1921), (1938),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2108), (2593), (2600), (3004),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3011), (3023), (3049), (3062), (3063), (3387) are
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #289.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3388)  ( ~ (all_26_206 = e22) &  ~ (all_26_209 = e22) & 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_212 = e22) &  ~ (all_26_215 = e22) & 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_218 = e22) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e21) &  ~ (all_26_209 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e21) &  ~ (all_26_215 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e21) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e20) &  ~ (all_26_209 = e20) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e20) &  ~ (all_26_215 = e20) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e20) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | (h2(e10) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & $i(all_26_218) & (( ~ (all_26_203 =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_204) & h2(all_26_279) = all_26_204
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_215,
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_218) = all_26_203 & op1(e11, e10) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_203) & $i(all_26_204)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_215) & $i(all_26_279)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_207 & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_206) = all_26_205 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_205)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_206) & $i(all_26_207) &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_208 =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_210) & h2(all_26_287) = all_26_210
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e13) = all_26_209 & op2(all_26_218,
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_209) = all_26_208 & op1(e10, e13) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_208) & $i(all_26_209)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_210) & $i(all_26_287)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_213 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_212) = all_26_211 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_211)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_212) & $i(all_26_213) &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_214 =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_216) & h2(all_26_295) = all_26_216
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_218,
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_215) = all_26_214 & op1(e10, e11) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_214) & $i(all_26_215)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_216) & $i(all_26_295)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_217 = all_26_219) & h2(all_26_299) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_219 & op2(all_26_218, all_26_218) =
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_217 & op1(e10, e10) = all_26_299 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_217) & $i(all_26_219) &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3388) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3389)  ( ~ (all_26_206 = e22) &  ~ (all_26_209 = e22) & 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_212 = e22) &  ~ (all_26_215 = e22) & 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_218 = e22) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | ( ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_206 = e21) &  ~ (all_26_209 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_212 = e21) &  ~ (all_26_215 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_218 = e21) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218))
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3389) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3390)   ~ (all_26_206 = e22) &  ~ (all_26_209 = e22) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_212 = e22) &  ~ (all_26_215 = e22) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_218 = e22) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_218)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3390) implies:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3391)   ~ (all_26_218 = e22)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3392)  h2(e10) = all_26_218
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3392) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3393)  all_26_218 = e21
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3391), (3393) imply:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3394)   ~ (e22 = e21)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (16), (17), (18), (34), (35), (36), (37),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (329),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (435), (438), (442), (453),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (635), (654), (656),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (684), (691), (752), (798), (807), (822),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1938), (2073), (2079), (2086),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2593), (2600), (2741), (3004), (3011),
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3023), (3036), (3049), (3062), (3063) are
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3395)   ~ (all_26_206 = e21) &  ~ (all_26_209 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_212 = e21) &  ~ (all_26_215 = e21) &  ~
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_218 = e21) & h2(e14) = all_26_206 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_218)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3395) implies:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3396)   ~ (all_26_218 = e21)
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3397)  h2(e10) = all_26_218
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3397) gives:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3398)  all_26_218 = e21
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3396), (3398) imply:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3399)  $false
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3399) is inconsistent.
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.23/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3400)  ( ~ (all_26_206 = e20) &  ~ (all_26_209 = e20) & 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_212 = e20) &  ~ (all_26_215 = e20) & 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_26_218 = e20) & h2(e14) = all_26_206 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_209) & $i(all_26_212)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_215) & $i(all_26_218)) | (h2(e10) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_218 & $i(all_26_218) & (( ~ (all_26_203 =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_204) & h2(all_26_279) = all_26_204
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_215,
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_218) = all_26_203 & op1(e11, e10) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_279 & $i(all_26_203) & $i(all_26_204)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_215) & $i(all_26_279)) | ( ~
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_207 & h2(e14) = all_26_206 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_206) = all_26_205 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e14) = all_26_283 & $i(all_26_205)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_206) & $i(all_26_207) &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_283)) | ( ~ (all_26_208 =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_210) & h2(all_26_287) = all_26_210
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e13) = all_26_209 & op2(all_26_218,
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_209) = all_26_208 & op1(e10, e13) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_287 & $i(all_26_208) & $i(all_26_209)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_210) & $i(all_26_287)) | ( ~
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_213 & h2(e12) = all_26_212 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op2(all_26_218, all_26_212) = all_26_211 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op1(e10, e12) = all_26_291 & $i(all_26_211)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_212) & $i(all_26_213) &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_291)) | ( ~ (all_26_214 =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_216) & h2(all_26_295) = all_26_216
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & h2(e11) = all_26_215 & op2(all_26_218,
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_26_215) = all_26_214 & op1(e10, e11) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_295 & $i(all_26_214) & $i(all_26_215)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_26_216) & $i(all_26_295)) | ( ~
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_26_217 = all_26_219) & h2(all_26_299) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_219 & op2(all_26_218, all_26_218) =
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_217 & op1(e10, e10) = all_26_299 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_217) & $i(all_26_219) &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_26_299))))
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3400) gives:
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3401)   ~ (all_26_206 = e20) &  ~ (all_26_209 = e20) &  ~
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_212 = e20) &  ~ (all_26_215 = e20) &  ~
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_26_218 = e20) & h2(e14) = all_26_206 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e13) = all_26_209 & h2(e12) = all_26_212 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           h2(e11) = all_26_215 & h2(e10) = all_26_218 &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_209) & $i(all_26_212) &
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_218)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3401) implies:
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3402)   ~ (all_26_218 = e20)
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3403)  h2(e10) = all_26_218
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3403) gives:
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3404)  all_26_218 = e21
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (16), (17), (18), (34), (35), (36), (37),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (329),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (435), (438), (442), (453),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (464), (465), (466), (467),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (472), (477), (478), (635), (654), (656),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (684), (691), (752), (798), (807), (822),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1938), (2073), (2079), (2086),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2593), (2600), (2741), (3004), (3011),
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3023), (3036), (3049), (3062), (3063) are
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3405)  h2(e10) = all_26_218 & $i(all_26_218) & (( ~
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_203 = all_26_204) & h2(all_26_279) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_204 & h2(e11) = all_26_215 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_215, all_26_218) = all_26_203 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e11, e10) = all_26_279 & $i(all_26_203) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_204) & $i(all_26_215) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_279)) | ( ~ (all_26_205 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_207) & h2(all_26_283) = all_26_207 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h2(e14) = all_26_206 & op2(all_26_218,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_206) = all_26_205 & op1(e10, e14) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_283 & $i(all_26_205) & $i(all_26_206) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_207) & $i(all_26_283)) | ( ~
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_208 = all_26_210) & h2(all_26_287) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_210 & h2(e13) = all_26_209 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_218, all_26_209) = all_26_208 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e13) = all_26_287 & $i(all_26_208) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_209) & $i(all_26_210) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_287)) | ( ~ (all_26_211 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_213) & h2(all_26_291) = all_26_213 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               h2(e12) = all_26_212 & op2(all_26_218,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_212) = all_26_211 & op1(e10, e12) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_291 & $i(all_26_211) & $i(all_26_212) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_213) & $i(all_26_291)) | ( ~
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_26_214 = all_26_216) & h2(all_26_295) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_216 & h2(e11) = all_26_215 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_218, all_26_215) = all_26_214 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e11) = all_26_295 & $i(all_26_214) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_215) & $i(all_26_216) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_295)) | ( ~ (all_26_217 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_26_219) & h2(all_26_299) = all_26_219 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op2(all_26_218, all_26_218) = all_26_217 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op1(e10, e10) = all_26_299 & $i(all_26_217) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_26_219) & $i(all_26_299)))
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3405) implies:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3406)  h2(e10) = all_26_218
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3407)  ( ~ (all_26_203 = all_26_204) & h2(all_26_279) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_204 & h2(e11) = all_26_215 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_218) = all_26_203 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_203) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_204) & $i(all_26_215) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_279)) | ( ~ (all_26_205 = all_26_207)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_283) = all_26_207 & h2(e14) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_206 & op2(all_26_218, all_26_206) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_205 & op1(e10, e14) = all_26_283 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_205) & $i(all_26_206) & $i(all_26_207)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_208 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_210) & h2(all_26_287) = all_26_210 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & op2(all_26_218,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_209) = all_26_208 & op1(e10, e13) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_208) & $i(all_26_209) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_210) & $i(all_26_287)) | ( ~
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_213 & h2(e12) = all_26_212 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_212) = all_26_211 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_211) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_212) & $i(all_26_213) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_214 = all_26_216)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_295) = all_26_216 & h2(e11) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_218, all_26_215) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_214 & op1(e10, e11) = all_26_295 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_214) & $i(all_26_215) & $i(all_26_216)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_217 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_219) & h2(all_26_299) = all_26_219 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_218) = all_26_217 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_217) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_219) & $i(all_26_299))
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_218, e10,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3406) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3408)  all_26_218 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3407) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3409)  ( ~ (all_26_203 = all_26_204) & h2(all_26_279) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_204 & h2(e11) = all_26_215 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_215, all_26_218) = all_26_203 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e11, e10) = all_26_279 & $i(all_26_203) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_204) & $i(all_26_215) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_279)) | ( ~ (all_26_205 = all_26_207)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_283) = all_26_207 & h2(e14) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_206 & op2(all_26_218, all_26_206) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_205 & op1(e10, e14) = all_26_283 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_205) & $i(all_26_206) & $i(all_26_207)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_283)) | ( ~ (all_26_208 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_210) & h2(all_26_287) = all_26_210 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             h2(e13) = all_26_209 & op2(all_26_218,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_209) = all_26_208 & op1(e10, e13) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_287 & $i(all_26_208) & $i(all_26_209) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_210) & $i(all_26_287))
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3409) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3410)   ~ (all_26_203 = all_26_204) & h2(all_26_279) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_204 & h2(e11) = all_26_215 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_215, all_26_218) = all_26_203 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e11, e10) = all_26_279 & $i(all_26_203) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_204) & $i(all_26_215) & $i(all_26_279)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3410) implies:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3411)   ~ (all_26_203 = all_26_204)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3412)  op1(e11, e10) = all_26_279
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3413)  op2(all_26_215, all_26_218) = all_26_203
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3414)  h2(e11) = all_26_215
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3415)  h2(all_26_279) = all_26_204
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3413) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3416)  op2(all_26_215, e21) = all_26_203
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_279, e10, e11,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2007), (3412) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3417)  all_26_279 = e11
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3414) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3418)  all_26_215 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3415), (3417) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3419)  h2(e11) = all_26_204
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3416), (3418) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3420)  op2(e21, e21) = all_26_203
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_203, e21, e21,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3420) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3421)  all_26_203 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_204, e11,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3419) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3422)  all_26_204 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3411), (3421), (3422) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3423)  $false
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3423) is inconsistent.
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3424)  ( ~ (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_207 & h2(e14) = all_26_206 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_206) = all_26_205 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e14) = all_26_283 & $i(all_26_205) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_206) & $i(all_26_207) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_283)) | ( ~ (all_26_208 = all_26_210)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_287) = all_26_210 & h2(e13) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_209 & op2(all_26_218, all_26_209) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_208 & op1(e10, e13) = all_26_287 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_208) & $i(all_26_209) & $i(all_26_210)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_287))
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3425)   ~ (all_26_205 = all_26_207) & h2(all_26_283) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_207 & h2(e14) = all_26_206 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_218, all_26_206) = all_26_205 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e14) = all_26_283 & $i(all_26_205) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_206) & $i(all_26_207) & $i(all_26_283)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3425) implies:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3426)   ~ (all_26_205 = all_26_207)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3427)  op1(e10, e14) = all_26_283
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3428)  op2(all_26_218, all_26_206) = all_26_205
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3429)  h2(e14) = all_26_206
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3430)  h2(all_26_283) = all_26_207
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3428) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3431)  op2(e21, all_26_206) = all_26_205
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_26_283, e14, e10,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1975), (3427) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3432)  all_26_283 = e14
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_206, e14,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3429) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3433)  all_26_206 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3430), (3432) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3434)  h2(e14) = all_26_207
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3431), (3433) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3435)  op2(e21, e21) = all_26_205
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_205, e21, e21,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3435) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3436)  all_26_205 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_207, e14,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3066), (3434) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3437)  all_26_207 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3426), (3436), (3437) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3438)  $false
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3438) is inconsistent.
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3439)   ~ (all_26_208 = all_26_210) & h2(all_26_287) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_210 & h2(e13) = all_26_209 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_218, all_26_209) = all_26_208 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e13) = all_26_287 & $i(all_26_208) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_209) & $i(all_26_210) & $i(all_26_287)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3439) implies:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3440)   ~ (all_26_208 = all_26_210)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3441)  op1(e10, e13) = all_26_287
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3442)  op2(all_26_218, all_26_209) = all_26_208
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3443)  h2(e13) = all_26_209
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3444)  h2(all_26_287) = all_26_210
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3442) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3445)  op2(e21, all_26_209) = all_26_208
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_26_287, e13, e10,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (883), (3441) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3446)  all_26_287 = e13
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_209, e13,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3443) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3447)  all_26_209 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3444), (3446) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3448)  h2(e13) = all_26_210
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3445), (3447) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3449)  op2(e21, e21) = all_26_208
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_208, e21, e21,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3449) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3450)  all_26_208 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_210, e13,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (80), (3448) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3451)  all_26_210 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3440), (3450), (3451) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3452)  $false
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3452) is inconsistent.
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3453)  ( ~ (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_213 & h2(e12) = all_26_212 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_212) = all_26_211 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e12) = all_26_291 & $i(all_26_211) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_212) & $i(all_26_213) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_291)) | ( ~ (all_26_214 = all_26_216)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_295) = all_26_216 & h2(e11) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_215 & op2(all_26_218, all_26_215) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_214 & op1(e10, e11) = all_26_295 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_214) & $i(all_26_215) & $i(all_26_216)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_26_295)) | ( ~ (all_26_217 =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_219) & h2(all_26_299) = all_26_219 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_218) = all_26_217 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e10) = all_26_299 & $i(all_26_217) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_219) & $i(all_26_299))
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3454)   ~ (all_26_211 = all_26_213) & h2(all_26_291) =
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_213 & h2(e12) = all_26_212 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_218, all_26_212) = all_26_211 &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e12) = all_26_291 & $i(all_26_211) &
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_212) & $i(all_26_213) & $i(all_26_291)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3454) implies:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3455)   ~ (all_26_211 = all_26_213)
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3456)  op1(e10, e12) = all_26_291
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3457)  op2(all_26_218, all_26_212) = all_26_211
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3458)  h2(e12) = all_26_212
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3459)  h2(all_26_291) = all_26_213
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3457) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3460)  op2(e21, all_26_212) = all_26_211
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, all_26_291, e12, e10,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2049), (3456) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3461)  all_26_291 = e12
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_212, e12,
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3458) gives:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3462)  all_26_212 = e21
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3459), (3461) imply:
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3463)  h2(e12) = all_26_213
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3460), (3462) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3464)  op2(e21, e21) = all_26_211
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_211, e21, e21,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3464) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3465)  all_26_211 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_213, e12,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3069), (3463) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3466)  all_26_213 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3455), (3465), (3466) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3467)  $false
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3467) is inconsistent.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3468)  ( ~ (all_26_214 = all_26_216) & h2(all_26_295) =
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_216 & h2(e11) = all_26_215 &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op2(all_26_218, all_26_215) = all_26_214 &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op1(e10, e11) = all_26_295 & $i(all_26_214) &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_215) & $i(all_26_216) &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_295)) | ( ~ (all_26_217 = all_26_219)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & h2(all_26_299) = all_26_219 & op2(all_26_218,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_26_218) = all_26_217 & op1(e10, e10) =
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_26_299 & $i(all_26_217) & $i(all_26_219) &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_26_299))
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3469)   ~ (all_26_214 = all_26_216) & h2(all_26_295) =
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_216 & h2(e11) = all_26_215 &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op2(all_26_218, all_26_215) = all_26_214 &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op1(e10, e11) = all_26_295 & $i(all_26_214) &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_215) & $i(all_26_216) & $i(all_26_295)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3470)   ~ (all_26_214 = all_26_216)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3471)  op1(e10, e11) = all_26_295
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3472)  op2(all_26_218, all_26_215) = all_26_214
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3473)  h2(e11) = all_26_215
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3474)  h2(all_26_295) = all_26_216
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3472) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3475)  op2(e21, all_26_215) = all_26_214
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_26_295, e11, e10,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2060), (3471) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3476)  all_26_295 = e11
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_215, e11,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3473) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3477)  all_26_215 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3474), (3476) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3478)  h2(e11) = all_26_216
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3475), (3477) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3479)  op2(e21, e21) = all_26_214
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_214, e21, e21,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3479) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3480)  all_26_214 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_216, e11,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3053), (3478) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3481)  all_26_216 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3470), (3480), (3481) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3482)  $false
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3482) is inconsistent.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3483)   ~ (all_26_217 = all_26_219) & h2(all_26_299) =
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_219 & op2(all_26_218, all_26_218) =
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_26_217 & op1(e10, e10) = all_26_299 &
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_217) & $i(all_26_219) & $i(all_26_299)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3483) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3484)   ~ (all_26_217 = all_26_219)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3485)  op1(e10, e10) = all_26_299
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3486)  op2(all_26_218, all_26_218) = all_26_217
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3487)  h2(all_26_299) = all_26_219
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3408), (3486) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3488)  op2(e21, e21) = all_26_217
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_26_299, e10, e10,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (866), (3485) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3489)  all_26_299 = e10
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_26_217, e21, e21,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3045), (3488) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3490)  all_26_217 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3484), (3490) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3491)   ~ (all_26_219 = e21)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3491) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3492)   ~ (all_26_219 = e21)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3487), (3489) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3493)  h2(e10) = all_26_219
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e21, all_26_219, e10,
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3072), (3493) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3494)  all_26_219 = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (3494) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3495)  $false
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3495) is inconsistent.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3496)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3496) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3497)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3497) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3498)  all_24_15 = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3499)  op2(e21, e21) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (83), (84), (329), (332),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (438), (444), (449), (453),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (456), (457), (458), (460), (462), (463),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (469), (471),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (477), (478), (584), (629), (630), (635),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (684), (687), (691), (752),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (1891), (1917), (1918),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1938), (2073), (2079), (2086),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2087), (2108), (2109), (2593), (2600), (2601),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2741), (2742), (2748), (2749), (2758), (3004),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3005), (3011), (3023), (3024), (3031), (3498),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3499) are inconsistent by sub-proof #285.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3500)  all_24_19 = e22 & op2(e21, e20) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3023), (3500)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #643.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3501)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3004), (3501) are inconsistent by
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #590.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3502)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3502) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3503)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3503) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3504)  all_24_15 = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3505)  op2(e21, e21) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (83), (84), (329), (332),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (336), (338), (339), (341), (342), (347),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350), (431), (438), (444), (449), (453),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (456), (457), (458), (460), (462), (463),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (469), (471),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (477), (478), (584), (629), (630), (635),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (684), (687), (691), (752),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (1891), (1917), (1918),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1938), (2073), (2079), (2086),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2087), (2108), (2109), (2593), (2600), (2601),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2741), (2742), (2748), (2749), (2758), (3004),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3005), (3011), (3023), (3024), (3031), (3504),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3505) are inconsistent by sub-proof #285.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3506)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3004), (3506)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3507)  all_24_2 = e20 & op2(e23, e24) = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3507) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3508)  all_24_2 = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (3508) are
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3509)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3509) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3510)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3510) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3511)  all_24_6 = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3512)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3513)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3514)  all_24_6 = e24
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3511), (3514) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3515)  e24 = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3515) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3516)  e24 = e20
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (3516) imply:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3517)  $false
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3517) is inconsistent.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3518)  all_24_7 = e24 & op2(e22, e23) = e24
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3519)  all_24_7 = e24
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (2741), (3519) are inconsistent by
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #831.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3520)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3520) gives:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3521)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (2593), (2741),
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3521) are inconsistent by sub-proof #841.
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3522)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3522) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3523)  all_24_11 = e24 & op2(e22, e21) = e24
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (687), (3523) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3524)  all_24_18 = e24 & op2(e22, e20) = e24
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3524) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3525)  all_24_18 = e24
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3526)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3526) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3527)  all_24_6 = e22 & op2(e22, e24) = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3527) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3528)  all_24_6 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3511), (3528) imply:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3529)  e22 = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3529) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3530)  e22 = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (3530) imply:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3531)  all_24_2 = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (3531) are
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3532)  all_24_7 = e22 & op2(e22, e23) = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (2748), (3532)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #796.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3533)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3534)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3535)  all_24_8 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2593), (3535) imply:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3536)  e23 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3536) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3537)  e23 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1917), (3537) imply:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3538)  all_24_17 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (752), (1938), (3538) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3539)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3540)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3541)  all_24_11 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (453), (463), (464), (465), (635),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2593), (2748), (3511), (3525), (3541) are
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #790.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3542)  all_24_18 = e22 & op2(e22, e20) = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3542) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3543)  all_24_18 = e22
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (3525), (3543) are inconsistent by sub-proof
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #728.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3544)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (332), (462), (464), (465), (635), (654),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (1917), (1921), (2600),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3007), (3544) are inconsistent by sub-proof #662.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3545)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3545) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3546)  all_24_13 = e20 & op2(e21, e23) = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2741), (3546) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #867.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3547)  all_24_21 = e20 & op2(e20, e23) = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (3547) are
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3548)  all_24_21 = e24 & op2(e20, e23) = e24
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (3548) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3549)  all_24_13 = e23 & op2(e21, e23) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3549) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3550)  all_24_13 = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (3550) are
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #842.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3551)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (333), (335), (1896), (2105), (2596),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3551) are inconsistent by sub-proof #565.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3552)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3552) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3553)  all_24_11 = e23 & op2(e22, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (2098), (3553) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3554)  all_24_18 = e23 & op2(e22, e20) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (1894), (3554) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #808.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3555)  all_24_10 = e23 & op2(e23, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3555) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3556)  op2(e23, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (752), (3556) are inconsistent
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #957.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3557)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3557) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3558)  all_24_11 = e23 & op2(e22, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (2098), (3558) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3559)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3559) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3560)  all_24_15 = e23 & op2(e21, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (2105), (3560) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #680.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3561)  all_24_23 = e23 & op2(e20, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3561) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3562)  all_24_23 = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3563)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e23) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3563) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3564)  all_24_0 = e23 & op2(e24, e24) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (2103), (3564) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3565)  all_24_1 = e23 & op2(e24, e23) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (61), (3565) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #956.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3566)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e21) = e23) | (all_24_16 = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3567)  all_24_4 = e23 & op2(e24, e22) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (2096), (3567) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3568)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e23 & op2(e24, e20) = e23)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3568) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3569)  all_24_9 = e23 & op2(e24, e21) = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3569) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3570)  all_24_9 = e23
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3571)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3571) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3572)  all_24_9 = e20 & op2(e24, e21) = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3570), (3572) are
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #887.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3573)  all_24_10 = e20 & op2(e23, e21) = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (3573) are inconsistent
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3574)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3575)  all_24_11 = e20 & op2(e22, e21) = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3576)  all_24_11 = e20
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3577)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3577) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3578)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3570), (3578) are inconsistent by sub-proof #734.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3579)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (3579) are inconsistent
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3580)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3580) gives:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3581)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3581) implies:
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3582)  all_24_11 = e21
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3576), (3582) are inconsistent by
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #788.
% 237.46/46.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3583)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3583) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3584)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3584) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3585)  all_24_15 = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3586)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (752), (1917), (1938), (3570), (3586)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #284.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3587)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3588)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3588) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3589)  all_24_11 = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3576), (3589)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #786.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3590)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3590) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3591)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3585), (3591) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #314.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3592)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (752), (1917), (1938), (3562), (3592) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3593)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3562), (3593) are inconsistent by sub-proof #282.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3594)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3594) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3595)  all_24_15 = e20 & op2(e21, e21) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3595) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3596)  all_24_15 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3597)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3598)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3570), (3598) are inconsistent by sub-proof #734.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3599)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (3599) are inconsistent
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3600)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3600) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3601)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3601) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3602)  all_24_11 = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3603)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (752), (1917), (1938), (3570), (3603)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #284.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3604)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3604) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3605)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3602), (3605) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #794.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3606)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3607)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3607) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3608)  all_24_15 = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3596), (3608) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3609)  e22 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (3609) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3610)  all_24_2 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (3610) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3611)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (752), (1917), (1938), (3562), (3611) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3612)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3612) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3613)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3613) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3614)  all_24_15 = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3596), (3614) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3615)  e21 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (3615) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3616)  $false
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3616) is inconsistent.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3617)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3562), (3617) are inconsistent by sub-proof #282.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3618)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3562), (3618) are
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #281.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3619)  all_24_16 = e23 & op2(e24, e20) = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (1892), (3619) are inconsistent by
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #678.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3620)   ~ (all_20_3 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3620) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3621)   ~ (all_16_15 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3622)  all_20_2 = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (3622) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3623)  all_16_10 = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (3623) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3624)   ~ (all_16_13 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3624) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3625)   ~ (all_16_13 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3623) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3626)   ~ (all_16_15 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3623) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3627)   ~ (all_16_20 = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3623) imply:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3628)  op2(e24, e22) = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3629)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e23) = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (350), (462), (464),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (671), (684), (752), (807), (1917), (1921),
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3628), (3629) are inconsistent by sub-proof #670.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3630)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e21) = e23) | (all_24_16 = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e23)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3630) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3631)  all_24_4 = e23 & op2(e24, e22) = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3631) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3632)  all_24_4 = e23
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3633)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3633) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3634)  all_24_1 = e24 & op2(e24, e23) = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (3634) are inconsistent by sub-proof
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3635)  all_24_3 = e24 & op2(e23, e23) = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (3635) are inconsistent by sub-proof
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3636)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3636) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3637)  all_24_7 = e24 & op2(e22, e23) = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3637) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3638)  all_24_7 = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3639)  op2(e22, e23) = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3640)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3640) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3641)  all_24_1 = e20 & op2(e24, e23) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (3641) are inconsistent by
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3642)  all_24_3 = e20 & op2(e23, e23) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (3642) are inconsistent by
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3643)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3643) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3644)  all_24_7 = e20 & op2(e22, e23) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (3638), (3644) are inconsistent by
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3645)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3646)  all_24_13 = e20 & op2(e21, e23) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3646) implies:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3647)  all_24_13 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3648)  op2(e21, e23) = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e20, e23, e21,
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (3648) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3649)  all_16_8 = e20
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e24, e23, e22,
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (3639) gives:
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3650)  all_16_7 = e24
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (3650) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3651)   ~ (all_16_2 = e24)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (3649) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3652)   ~ (all_16_3 = e20)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (3650) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3653)   ~ (all_16_22 = e24)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3653) implies:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3654)   ~ (all_16_22 = e24)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (3650) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3655)   ~ (all_4_2 = e24)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3655) implies:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3656)   ~ (all_4_2 = e24)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (3649) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3657)   ~ (all_16_23 = e20)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3657) implies:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3658)   ~ (all_16_23 = e20)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (3649) imply:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3659)   ~ (all_6_2 = e20)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3659) implies:
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3660)   ~ (all_6_2 = e20)
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.46/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (3649) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3661)   ~ (e23 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (3649) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3662)   ~ (e22 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (3649) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3663)   ~ (e21 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3664)  all_20_15 = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (3664) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3665)  all_16_3 = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3665) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3666)  all_16_3 = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (3666) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3667)   ~ (all_16_2 = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (3666) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3668)   ~ (all_12_2 = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3668) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3669)   ~ (all_12_2 = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (3666) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3670)   ~ (all_6_2 = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3670) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3671)   ~ (all_6_2 = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3672)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3672) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3673)  all_24_12 = e23 & op2(e21, e24) = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3673) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3674)  all_24_12 = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3675)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (349), (752), (3621), (3675) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #564.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3676)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3677)  all_24_11 = e23 & op2(e22, e21) = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3678)  all_24_11 = e23
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3679)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (671), (798), (3628), (3679) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #623.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3680)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3680) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3681)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (3656), (3681) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3682)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3682) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3683)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3683) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3684)  all_24_14 = e24
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3685)  op2(e21, e22) = e24
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_13, e24, e22, e21,
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (335), (3685) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3686)  all_16_13 = e24
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3687)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3688)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3688) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3689)  op2(e22, e24) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e20, e24, e22,
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (3689) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3690)  all_16_2 = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (311), (3690) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3691)   ~ (all_16_4 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3691) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3692)   ~ (all_16_4 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (3690) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3693)   ~ (all_16_22 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3693) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3694)   ~ (all_16_22 = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3695)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3695) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3696)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3696) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3697)  op2(e20, e24) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (3692), (3697) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3698)  all_24_21 = e20 & op2(e20, e23) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3698) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3699)  all_24_21 = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (3699) imply:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3700)  e23 = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3700) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3701)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3702)  all_24_22 = e20 & op2(e20, e22) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3703)  op2(e20, e22) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (669), (3703) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3704)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3704) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3705)  all_24_23 = e20
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3706)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3707)  all_24_9 = e22 & op2(e24, e21) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3708)  all_24_9 = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3709)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3709) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3710)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3708), (3710) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #658.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3711)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (3711) are inconsistent
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3712)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3712) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3713)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3678), (3713) are inconsistent by sub-proof #624.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3714)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3714) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3715)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3715) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3716)  all_24_15 = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3717)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (337), (639), (1932), (3717) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3718)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3718) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3719)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (462), (463), (464),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (803), (807),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (3638), (3647),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3684), (3719) are inconsistent by sub-proof #280.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3720)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3720) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3721)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3721) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3722)  all_24_15 = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3716), (3722) are
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #654.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3723)  all_24_19 = e22 & op2(e21, e20) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3723) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3724)  op2(e21, e20) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (35), (36), (37), (38),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (462), (464), (465),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (822), (1840),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (3724) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #277.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3725)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3705), (3725) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #590.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3726)  all_24_10 = e22 & op2(e23, e21) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3726) implies:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3727)  op2(e23, e21) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (3727) are inconsistent
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3728)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3728) gives:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3729)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (3678), (3729) are inconsistent by
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3730)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3730) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3731)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3731) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3732)  all_24_15 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3733)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (35), (36), (37), (38), (39), (46),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (48), (61), (462), (464), (465), (635),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (822), (1921), (1938),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3733) are inconsistent by sub-proof #279.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3734)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3734) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3735)  all_24_18 = e20 & op2(e22, e20) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (3694), (3735) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3736)  all_24_19 = e20 & op2(e21, e20) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3736) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3737)  all_24_19 = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (444), (463), (464), (465), (635),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3647), (3674), (3684), (3732), (3737) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #628.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3738)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3705), (3738)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3739)  all_24_7 = e20 & op2(e22, e23) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (3638), (3739) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3740)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3741)  all_24_8 = e20 & op2(e22, e22) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3742)  all_24_8 = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3743)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (350), (643), (3743) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3744)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3744) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3745)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3745) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3746)  all_24_8 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (3742), (3746)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #713.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3747)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3747) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3748)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (462), (463), (464),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (803), (807),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (3638), (3647),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3684), (3748) are inconsistent by sub-proof #280.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3749)  all_24_22 = e22 & op2(e20, e22) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3749) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3750)  all_24_22 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (34), (35), (36), (37), (38),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (336), (341),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (454), (457), (460), (462), (463), (464),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (469), (471), (477),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (654), (656), (671),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (822), (1840), (1891),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (1938), (2073), (2079),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3628), (3632), (3638), (3647), (3674),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3678), (3750) are inconsistent by sub-proof #275.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3751)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3751) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3752)  all_24_11 = e20 & op2(e22, e21) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3752) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3753)  all_24_11 = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3678), (3753) imply:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3754)  e23 = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3754) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3755)  all_24_18 = e20 & op2(e22, e20) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3755) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3756)  op2(e22, e20) = e20
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3757)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (462), (463), (464),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (469), (471), (477),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (654), (656), (671),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1891), (1917),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (3647), (3674), (3757) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #315.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3758)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3758) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3759)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3759) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3760)  all_24_8 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3761)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3761) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3762)  all_24_4 = e21 & op2(e24, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3632), (3762) are inconsistent by sub-proof #664.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3763)  all_24_5 = e21 & op2(e23, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (3763) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3764)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3764) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3765)  all_24_8 = e21 & op2(e22, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3760), (3765) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #625.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3766)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3766) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3767)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3767) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3768)  all_24_14 = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3684), (3768) imply:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3769)  e24 = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3638), (3769) imply:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3770)  all_24_7 = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (3770) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3771)  all_24_22 = e21 & op2(e20, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3771) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3772)  op2(e20, e22) = e21
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (37), (39), (46), (47),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (3756), (3772) are
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #319.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3773)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3773) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3774)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3775)  all_24_11 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3678), (3775) imply:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3776)  e23 = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (3776) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3777)  all_24_18 = e22 & op2(e22, e20) = e22
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (34), (35), (36), (37), (38),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (462), (463), (464),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (635), (654), (656), (671), (752), (822),
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1921), (1938), (3777) are inconsistent by
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #276.
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3778)  all_24_22 = e24 & op2(e20, e22) = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3778) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3779)  all_24_22 = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3780)  op2(e20, e22) = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, e24, e22, e20,
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (330), (3780) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3781)  all_16_14 = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (3781) imply:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3782)   ~ (all_16_13 = e24)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3783)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3783) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3784)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3784) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3785)  all_24_0 = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3786)  op2(e24, e24) = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3787)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3787) gives:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3788)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3788) implies:
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3789)  all_24_12 = e24
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3674), (3789) imply:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3790)  e24 = e23
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3790) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3791)  e24 = e23
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3785), (3791) imply:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3792)  all_24_0 = e23
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (350), (462), (464),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (671), (684), (752), (807), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3628), (3792) are inconsistent by sub-proof #671.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3793)  all_24_13 = e24 & op2(e21, e23) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3794)  all_24_13 = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3638), (3794) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #831.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3795)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3795) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3796)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (3782), (3796) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #274.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3797)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3798)  all_24_15 = e24 & op2(e21, e21) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (689), (3798) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3799)  all_24_19 = e24 & op2(e21, e20) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3799) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3800)  all_24_19 = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3801)  op2(e21, e20) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, e24, e20, e21,
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (333), (3801) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3802)  all_16_23 = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e24, e24, e24,
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (3786) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3803)  all_12_2 = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (3802) imply:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3804)   ~ (all_8_2 = e24)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3804) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3805)   ~ (all_8_2 = e24)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3806)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (332), (341), (462), (463),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (635), (654),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (803), (807), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1934), (1938), (2079), (3806) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #775.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3807)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3808)  all_24_22 = e22 & op2(e20, e22) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3808) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3809)  all_24_22 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (34), (35), (36), (37), (38),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (336), (341),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (454), (457), (460), (462), (463), (464),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (469), (471), (477),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (654), (656), (671),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (822), (1840), (1891),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (1938), (2073), (2079),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3628), (3632), (3638), (3647), (3674),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3678), (3809) are inconsistent by sub-proof #275.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3810)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3810) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3811)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3811) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3812)  all_24_23 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (34), (35), (36), (37),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (61), (330), (462),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (654), (656), (669),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (822), (1839), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (2086), (3780), (3812) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3813)  all_24_24 = e22 & op2(e20, e20) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3814)  op2(e20, e20) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e22, e20, e20,
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (3814) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3815)  all_8_2 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3816)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3816) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3817)  all_24_9 = e22 & op2(e24, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3817) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3818)  all_24_9 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (34), (35), (36), (37), (38), (39),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (350), (462), (463),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (470), (635), (654), (656), (662),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (822), (1921), (1938), (3785),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3818) are inconsistent by sub-proof #562.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3819)  all_24_10 = e22 & op2(e23, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3819) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3820)  op2(e23, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (3820) are inconsistent
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3821)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3821) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3822)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (3678), (3822) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3823)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3823) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3824)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3824) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3825)  all_24_15 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3826)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3826) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3827)  all_24_12 = e21 & op2(e21, e24) = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3674), (3827) are inconsistent by sub-proof #747.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3828)  all_24_13 = e21 & op2(e21, e23) = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3647), (3828) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #322.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3829)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3829) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3830)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3830) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3831)  all_24_14 = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3832)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (350), (643), (3832) are
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3833)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3833) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3834)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3834) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3835)  all_24_8 = e22
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3836)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3836) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3837)  all_24_6 = e21 & op2(e22, e24) = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3837) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3838)  all_24_6 = e21
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3839)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3840)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3840) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3841)  all_24_0 = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3785), (3841) imply:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3842)  e24 = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3800), (3842) imply:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3843)  all_24_19 = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3844)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3638), (3674), (3844) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #739.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3795) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3845)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3845) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3846)  all_24_14 = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (336), (444), (445), (462), (463),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (639), (654), (656), (671),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (1917), (1921), (1938), (3647),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3674), (3843), (3846) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #627.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3847)  all_24_15 = e24 & op2(e21, e21) = e24
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (689), (3847) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (3799), (3843) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #638.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3848)  all_24_2 = e20 & op2(e23, e24) = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3848) implies:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3849)  all_24_2 = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (3849) are
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3850)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3850) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3851)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3838), (3851) are inconsistent by
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #578.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3852)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3852) gives:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3853)  all_24_12 = e20 & op2(e21, e24) = e20
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3674), (3853) are
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #868.
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3854)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (39), (46), (61),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (669), (752), (822), (1938), (3780), (3854)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #273.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3855)  all_24_7 = e21 & op2(e22, e23) = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3855) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3856)  all_24_7 = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (3856) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3857)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (34), (35), (36), (37), (38), (39),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (463), (464), (465),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (656), (671), (752), (798), (822), (1917),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (3678), (3835), (3857) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #541.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3858)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3858) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3859)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3859) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3860)  all_24_14 = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3831), (3860) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #757.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3861)  all_24_22 = e22 & op2(e20, e22) = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3861) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3862)  all_24_22 = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (63), (336), (341), (460),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (798), (803),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2073), (2079), (2086),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3628), (3638), (3656), (3831), (3862) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #620.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3863)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3863) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3864)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3825), (3864) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3865)  all_24_19 = e21 & op2(e21, e20) = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3865) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3866)  all_24_19 = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3800), (3866) imply:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3867)  e24 = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3638), (3867) imply:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3868)  all_24_7 = e21
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (3868) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3869)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3869) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3870)  all_24_23 = e22
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (34), (35), (36), (37),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (61), (330), (462),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (654), (656), (669),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (822), (1839), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (2086), (3780), (3870) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3871)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (3871) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3872)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3872) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3873)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (3651), (3873) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #317.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3874)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3874) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3875)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3674), (3875) are inconsistent by sub-proof
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #645.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3876)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3876) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3877)  all_24_20 = e24
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (330), (332), (336), (341),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (436), (462), (463), (464), (465), (466),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (635), (654), (656), (669), (671),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1839), (1917),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (2086),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3779), (3877) are inconsistent by sub-proof #271.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3878)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (329), (330), (332),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (347), (435), (436), (438), (462),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (584),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (654), (656), (669), (671),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (1839), (1891),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (1934), (1938), (2073),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2086), (3671), (3878) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #267.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3879)  all_24_13 = e23 & op2(e21, e23) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3879) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3880)  all_24_13 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3638), (3880) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #845.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3881)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (333), (335), (1896), (3625), (3671),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3881) are inconsistent by sub-proof #565.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3882)   ~ (all_20_15 = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (3882) imply:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3883)   ~ (all_16_3 = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3884)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3884) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3885)  all_24_12 = e23 & op2(e21, e24) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (337), (3883), (3885) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3886)  all_24_13 = e23 & op2(e21, e23) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3886) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3887)  all_24_13 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (3638), (3887) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #845.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3888)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3888) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3889)  all_24_14 = e23 & op2(e21, e22) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (3625), (3889) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #719.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3890)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3890) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3891)  all_24_15 = e23 & op2(e21, e21) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3891) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3892)  all_24_15 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3893)  op2(e21, e21) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3894)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e24) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (350), (462), (464),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (671), (684), (752), (807), (1917), (1921),
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (3628), (3894) are inconsistent by
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #266.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3895)  (all_24_6 = e23 & op2(e22, e24) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3895) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3896)  all_24_6 = e23 & op2(e22, e24) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3896) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3897)  all_24_6 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3898)  op2(e22, e24) = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e23, e21, e21,
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (3893) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3899)  all_6_2 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e23, e24, e22,
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (3898) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3900)  all_16_2 = e23
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (3900) imply:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3901)   ~ (all_4_2 = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3901) implies:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3902)   ~ (all_4_2 = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (3899) imply:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3903)   ~ (all_16_17 = e23)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3904)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (337), (639), (1932), (3904) are
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3905)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3905) gives:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3906)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3906) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3907)  all_24_14 = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3908)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (671), (798), (3628), (3908) are
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #623.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3909)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3909) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3910)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (3656), (3910) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3911)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3911) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3912)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3912) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3913)  all_24_14 = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (35), (36), (37), (38),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (336), (337), (347),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (445), (462), (464), (465), (584), (629), (630),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (639), (654), (656), (671), (752), (822),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1891), (1917), (1921), (1926), (1932),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (3892), (3913) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #264.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3914)  all_24_22 = e24 & op2(e20, e22) = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3914) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3915)  all_24_22 = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3916)  op2(e20, e22) = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3917)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3917) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3918)  all_24_4 = e21 & op2(e24, e22) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3632), (3918) are inconsistent by sub-proof #664.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3919)  all_24_5 = e21 & op2(e23, e22) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (3919) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3920)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3920) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3921)  all_24_8 = e21 & op2(e22, e22) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3921) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3922)  all_24_8 = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3923)  op2(e22, e22) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3906) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3924)  op2(e21, e22) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, e24, e22, e20,
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (330), (3916) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3925)  all_16_14 = e24
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_13, e22, e22, e21,
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (335), (3924) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3926)  all_16_13 = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e21, e22, e22,
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (3923) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3927)  all_4_2 = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (3927) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3928)   ~ (all_16_17 = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (3927) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3929)   ~ (all_16_22 = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3902), (3927) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3930)   ~ (e23 = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3927) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3931)  op2(e22, e21) = all_4_1
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, all_4_1, e21,
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (339), (3931) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3932)  all_16_17 = all_4_1
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (242), (3932) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3933)   ~ (all_16_22 = all_4_1)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3933) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3934)   ~ (all_16_22 = all_4_1)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (3932) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3935)   ~ (all_4_1 = e24)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3903), (3932) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3936)   ~ (all_4_1 = e23)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3928), (3932) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3937)   ~ (all_4_1 = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3938)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3938) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3939)  all_24_9 = e22 & op2(e24, e21) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3939) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3940)  all_24_9 = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3941)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3940), (3941) are
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #574.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3942)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3943)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (452), (454), (462),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (584),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (654), (656), (671), (752),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (1891), (1917), (1921),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (3638), (3647), (3897), (3922), (3943) are
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #552.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3944)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3944) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3945)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3892), (3945) are inconsistent by sub-proof #532.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3946)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3946) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3947)  all_24_23 = e21
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3948)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3948) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3949)  all_24_9 = e20 & op2(e24, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3949) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3950)  all_24_9 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3940), (3950) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3951)  e22 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3951) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3952)  e22 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (3952) imply:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3953)  all_24_2 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (3953) are
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3954)  all_24_10 = e20 & op2(e23, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (3954) are inconsistent
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3955)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3955) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3956)  all_24_11 = e20 & op2(e22, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3956) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3957)  all_24_11 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (336),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (453), (454), (462), (463), (464),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (798), (803),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (822), (1840), (1891), (1917), (1921),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (1938), (2073), (2079), (2086), (3647),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3897), (3957) are inconsistent by sub-proof #263.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3958)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3959)  all_24_15 = e20 & op2(e21, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (3660), (3959) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #519.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3960)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3960) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3961)  all_24_23 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3947), (3961) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #368.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3962)  all_24_10 = e22 & op2(e23, e21) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3962) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3963)  op2(e23, e21) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (3963) are inconsistent
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3964)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3964) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3965)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3965) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3966)  op2(e22, e21) = e22
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3967)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3967) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3968)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3897), (3968) are
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #558.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3969)  all_24_7 = e20 & op2(e22, e23) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (3638), (3969) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3970)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3970) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3971)  all_24_8 = e20 & op2(e22, e22) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3922), (3971) are inconsistent by
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #557.
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3972)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3972) gives:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3973)  all_24_11 = e20 & op2(e22, e21) = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3973) implies:
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3974)  all_24_11 = e20
% 237.64/46.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (336),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (453), (454), (462), (463), (464),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (798), (803),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (822), (1840), (1891), (1917), (1921),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (1938), (2073), (2079), (2086), (3647),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3897), (3974) are inconsistent by sub-proof #263.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3975)  all_24_18 = e20 & op2(e22, e20) = e20
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3975) implies:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3976)  all_24_18 = e20
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3977)  op2(e22, e20) = e20
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3978)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (464), (584), (629), (630), (647),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (1891), (1926), (3978) are inconsistent by
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #805.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3979)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3979) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3980)  all_24_18 = e22 & op2(e22, e20) = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (34), (35), (36), (37), (38),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (462), (463), (464),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (635), (654), (656), (671), (752), (822),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1921), (1938), (3980) are inconsistent by
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #276.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3981)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3981) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3982)  all_24_19 = e22 & op2(e21, e20) = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3982) implies:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3983)  op2(e21, e20) = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (35), (37), (39), (46), (47),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (3977), (3983) are
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #536.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3984)  all_24_24 = e22 & op2(e20, e20) = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3984) implies:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3985)  op2(e20, e20) = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e22, e20, e20,
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (3985) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3986)  all_8_2 = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_22, e20, e20, e22,
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (338), (3977) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3987)  all_16_22 = e20
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e22, e21, e22,
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3931), (3966) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3988)  all_4_1 = e22
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (3987) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3989)   ~ (all_16_20 = e20)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (3986) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3990)   ~ (all_16_23 = e22)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (3986) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3991)  op2(e20, e22) = all_8_1
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_8_1, e22, e20,
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3916), (3991) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3992)  all_8_1 = e24
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (3992) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3993)  op2(e24, e20) = all_8_0
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, all_8_0, e20,
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e24, simplifying with (348), (3993) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3994)  all_16_20 = all_8_0
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (3994) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3995)   ~ (all_16_15 = all_8_0)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (3994) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3996)   ~ (all_16_23 = all_8_0)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3996) implies:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3997)   ~ (all_16_23 = all_8_0)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (3994) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3998)   ~ (all_8_0 = e23)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (647), (3994) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3999)   ~ (all_8_0 = e22)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3989), (3994) imply:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4000)   ~ (all_8_0 = e20)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4001)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4001) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4002)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4002) implies:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4003)  all_24_0 = e24
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4004)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (4003), (4004) are
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #667.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4005)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4005) gives:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4006)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (3897), (4006) are
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #558.
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4007)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.64/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4007) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4008)  all_24_12 = e20 & op2(e21, e24) = e20
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4008) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4009)  all_24_12 = e20
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (34), (35), (36), (37), (38), (39),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (330), (347), (350),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (449), (450), (462), (463), (464), (465), (470),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (471), (584), (629), (630), (635), (654), (656),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (669), (671), (752), (798), (822), (1839),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (1938), (2086),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3892), (3897), (4003), (4009) are inconsistent by
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #261.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4010)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (39), (46), (61),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (669), (752), (822), (1938), (3916), (4010)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #273.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4011)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4011) are
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4012)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4012) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4013)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (3651), (4013) are inconsistent by
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #317.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4014)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4014) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4015)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4015) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4016)  all_24_12 = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4017)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4017) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4018)  all_24_12 = e21 & op2(e21, e24) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4016), (4018) are inconsistent by
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #345.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4019)  all_24_13 = e21 & op2(e21, e23) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (3647), (4019) are inconsistent by
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #322.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4020)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4021)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3907), (4021) are
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4022)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4022) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4023)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3892), (4023) are inconsistent by sub-proof #532.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4024)  all_24_19 = e21 & op2(e21, e20) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4024) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4025)  all_24_19 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4026)  op2(e21, e20) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4027)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4027) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4028)  all_24_16 = e24 & op2(e24, e20) = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4028) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4029)  all_24_16 = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4030)  op2(e24, e20) = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, e21, e20, e21,
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (333), (4026) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4031)  all_16_23 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_0, e24, e20, e24,
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3993), (4030) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4032)  all_8_0 = e24
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3990), (4031) imply:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4033)   ~ (e22 = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4034)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4034) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4035)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4035) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4036)  all_24_0 = e20
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4037)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (654),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (4036), (4037) are
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #880.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4038)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4038) gives:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4039)  all_24_6 = e21 & op2(e22, e24) = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4039) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4040)  all_24_6 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3897), (4040) imply:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4041)  e23 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4042)  e23 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (4042) imply:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4043)  all_24_21 = e21
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (336), (341), (464), (465), (467),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (2073), (2079),
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4043) are inconsistent by sub-proof #765.
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4044)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4044) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4045)  all_24_12 = e21 & op2(e21, e24) = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4045) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4046)  all_24_12 = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4016), (4046) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4047)  e24 = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4047) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4048)  all_24_16 = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (349), (462),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (478),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (752), (803),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2073), (2079), (2086),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3628), (3638), (4036), (4048) are inconsistent by
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #650.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4049)  all_24_20 = e21 & op2(e20, e24) = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4049) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4050)  op2(e20, e24) = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (23), (35), (37), (39), (46),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (61), (752), (822), (1938), (3916), (3977),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4050) are inconsistent by sub-proof #326.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4051)  all_24_2 = e20 & op2(e23, e24) = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4052)  all_24_2 = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (4052) are
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4053)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4053) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4054)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4054) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4055)  all_24_6 = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3897), (4055) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4056)  e23 = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (4056) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4057)  $false
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4057) is inconsistent.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4058)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4058) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4059)  all_24_12 = e20 & op2(e21, e24) = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4059) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4060)  all_24_12 = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (4016), (4060) are inconsistent by
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #527.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4061)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (39), (46), (61),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (669), (752), (822), (1938), (3916), (4061)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #273.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4062)  all_24_17 = e24 & op2(e23, e20) = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4062) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4063)  all_24_17 = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (752), (1921), (4063) are inconsistent by
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4064)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4064) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4065)  all_24_18 = e24 & op2(e22, e20) = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4065) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4066)  all_24_18 = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3976), (4066) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4067)  e24 = e20
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (4067) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4068)  $false
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4068) is inconsistent.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4069)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4069) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4070)  all_24_19 = e24 & op2(e21, e20) = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4070) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4071)  all_24_19 = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4025), (4071) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4072)  e24 = e21
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (4072) imply:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4073)  $false
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4073) is inconsistent.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4074)  all_24_24 = e24 & op2(e20, e20) = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4074) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4075)  all_24_24 = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (34), (35), (36), (37), (38),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (347), (348),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (462), (463), (464), (465), (466), (468),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (647), (654), (656),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (822), (1891), (1917),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1938), (2086), (3638), (3976),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3977), (4075) are inconsistent by sub-proof #260.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4076)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4076) implies:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4077)  all_24_20 = e24
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (330), (332), (336), (341),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (436), (462), (463), (464), (465), (466),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (635), (654), (656), (669), (671),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1839), (1917),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (2086),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3915), (4077) are inconsistent by sub-proof #271.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4078)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4079)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (3892), (4079) are inconsistent by
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #548.
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4080)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.85/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4080) implies:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4081)  all_24_23 = e22
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4082)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4082) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4083)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4083) implies:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4084)  all_24_9 = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4085)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4085) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4086)  all_24_9 = e20 & op2(e24, e21) = e20
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4086) implies:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4087)  all_24_9 = e20
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (4084), (4087) are inconsistent by
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #674.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4088)  all_24_10 = e20 & op2(e23, e21) = e20
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (4088) are inconsistent
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4089)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4089) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4090)  all_24_11 = e20 & op2(e22, e21) = e20
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4090) implies:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4091)  all_24_11 = e20
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (336),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (453), (454), (462), (463), (464),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (798), (803),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (822), (1840), (1891), (1917), (1921),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (1938), (2073), (2079), (2086), (3647),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3897), (4091) are inconsistent by sub-proof #263.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4092)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (73), (462), (463), (464), (465),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1921), (3660),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4081), (4092) are inconsistent by sub-proof #330.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4093)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (4093) are inconsistent
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4094)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4094) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4095)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (452), (454), (462),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (584),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (654), (656), (671), (752),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (1891), (1917), (1921),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1926), (3638), (3647), (3897), (3922), (4095) are
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #552.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4096)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4096) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4097)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3892), (4097) are inconsistent by sub-proof #532.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4098)  all_24_23 = e21 & op2(e20, e21) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4098) implies:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4099)  all_24_23 = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4081), (4099) are
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #731.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4100)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4100) gives:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4101)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (3907), (4101) are
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4102)  all_24_22 = e21 & op2(e20, e22) = e21
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4102) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4103)  all_24_22 = e21
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3915), (4103) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4104)  e24 = e21
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4104) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4105)  e24 = e21
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3638), (4105) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4106)  all_24_7 = e21
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4106) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4107)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (35), (36), (37), (38),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (347), (462), (464),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (584), (629), (630), (635), (654), (656),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (822), (1840), (1891), (1917),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1938), (3892), (4107) are
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #265.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4108)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4109)  all_24_12 = e23 & op2(e21, e24) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (337), (3883), (4109) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4110)  all_24_20 = e23 & op2(e20, e24) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (2089), (4110) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #716.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4111)  all_24_19 = e23 & op2(e21, e20) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (1896), (4111) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4112)  all_24_21 = e20 & op2(e20, e23) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (4112) are
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4113)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4113) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4114)  all_24_13 = e24 & op2(e21, e23) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4114) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4115)  all_24_13 = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4116)  op2(e21, e23) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4117)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4117) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4118)  all_24_1 = e20 & op2(e24, e23) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4118) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4119)  all_24_3 = e20 & op2(e23, e23) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (4119) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4120)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4120) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4121)  all_24_7 = e20 & op2(e22, e23) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4121) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4122)  op2(e22, e23) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e24, e23, e21,
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (4116) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4123)  all_16_8 = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e20, e23, e22,
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (4122) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4124)  all_16_7 = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4125)   ~ (all_16_2 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (4123) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4126)   ~ (all_16_3 = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4127)   ~ (all_16_17 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4127) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4128)   ~ (all_16_17 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4129)   ~ (all_16_22 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4129) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4130)   ~ (all_16_22 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2079), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4131)   ~ (e23 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4132)   ~ (e22 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (4124) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4133)   ~ (e21 = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (4123) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4134)   ~ (all_16_13 = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4134) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4135)   ~ (all_16_13 = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4136)  all_20_15 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (4136) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4137)  all_16_3 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4137) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4138)  all_16_3 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (4138) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4139)   ~ (all_16_2 = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (4138) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4140)   ~ (all_16_4 = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (4138) imply:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4141)   ~ (all_6_2 = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4141) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4142)   ~ (all_6_2 = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4143)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (349), (752), (3621), (4143) are
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #564.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4144)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4144) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4145)  all_24_11 = e23 & op2(e22, e21) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4145) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4146)  all_24_11 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4147)  op2(e22, e21) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4148)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e24) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (350), (462), (464),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (671), (684), (752), (807), (1917), (1921),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (3628), (4148) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #266.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4149)  (all_24_6 = e23 & op2(e22, e24) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4149) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4150)  all_24_6 = e23 & op2(e22, e24) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (4139), (4150) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #913.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4151)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4151) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4152)  all_24_12 = e23 & op2(e21, e24) = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4152) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4153)  all_24_12 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e23, e21, e22,
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (4147) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4154)  all_16_17 = e23
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4155)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4155) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4156)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4157)  all_24_0 = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4158)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4158) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4159)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (4157), (4159) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4160)  all_24_1 = e24 & op2(e24, e23) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (4160) are inconsistent by sub-proof
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4161)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4161) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4162)  all_24_4 = e24 & op2(e24, e22) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4162) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4163)  op2(e24, e22) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (3628), (4163) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #660.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4164)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4164) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4165)  all_24_9 = e24 & op2(e24, e21) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (349), (684), (4165) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4166)  all_24_16 = e24 & op2(e24, e20) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4166) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4167)  op2(e24, e20) = e24
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4168)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1921), (4167), (4168) are
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #328.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4169)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4169) gives:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4170)  all_24_18 = e20 & op2(e22, e20) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (4130), (4170) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4171)  all_24_19 = e20 & op2(e21, e20) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (35), (37), (39), (46), (47), (61),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (4171) are inconsistent by
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #278.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4172)  all_24_2 = e20 & op2(e23, e24) = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4172) implies:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4173)  all_24_2 = e20
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (4173) are
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4174)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4174) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4175)  all_24_6 = e20 & op2(e22, e24) = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4175) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4176)  op2(e22, e24) = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e20, e24, e22,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (4176) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4177)  all_16_2 = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4125), (4177) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4178)  $false
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4178) is inconsistent.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4179)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4180)  all_24_12 = e20 & op2(e21, e24) = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4153), (4180) are
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #868.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4181)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4181) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4182)  all_24_20 = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4183)  op2(e20, e24) = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e20, e24, e20,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (4183) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4184)  all_16_4 = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (4184) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4185)   ~ (all_16_19 = e20)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4185) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4186)   ~ (all_16_19 = e20)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4187)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (463), (464), (465),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (471), (477), (635), (654), (656),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (803), (807), (1917), (1921),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (4153), (4182), (4187) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #311.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4188)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4188) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4189)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4189) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4190)  all_24_8 = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4191)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (671), (798), (3628), (4191) are
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #623.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4192)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4192) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4193)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4193) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4194)  all_24_8 = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (4190), (4194) are inconsistent by sub-proof
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #692.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4195)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4196)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (4135), (4196) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #274.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4197)  all_24_22 = e24 & op2(e20, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4197) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4198)  op2(e20, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (61), (329), (330),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (822), (1938), (4183), (4186), (4198) are
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #259.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4199)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4199) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4200)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4200) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4201)  all_24_11 = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4146), (4201) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4202)  e23 = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4202) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4203)  all_24_18 = e22 & op2(e22, e20) = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4203) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4204)  op2(e22, e20) = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_22, e22, e20, e22,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (338), (4204) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4205)  all_16_22 = e22
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (4205) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4206)   ~ (all_8_2 = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4206) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4207)   ~ (all_8_2 = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (61), (83), (347),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (440), (462), (463), (464), (465), (584),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (647), (654), (656), (671),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1840), (1891), (1921), (1926),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (4207) are inconsistent by sub-proof #258.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4208)  all_24_20 = e23 & op2(e20, e24) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (2089), (4208) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #716.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4209)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (329), (330), (332),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (347), (435), (436), (438), (462),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (584),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (654), (656), (669), (671),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (1839), (1891),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (1934), (1938), (2073),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2086), (4142), (4209) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #267.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4210)   ~ (all_20_15 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (4210) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4211)   ~ (all_16_3 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4212)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e24) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (350), (462), (464),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (671), (684), (752), (807), (1917), (1921),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (3628), (4212) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #266.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4213)  (all_24_6 = e23 & op2(e22, e24) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4213) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4214)  all_24_6 = e23 & op2(e22, e24) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4214) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4215)  all_24_6 = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4216)  op2(e22, e24) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4217)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (337), (462), (464), (465),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (635), (654), (656), (671), (752),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (1917), (1921), (2086), (4211),
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4217) are inconsistent by sub-proof #714.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4218)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4218) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4219)  all_24_14 = e23 & op2(e21, e22) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (3625), (4219) are inconsistent by
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #719.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4220)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4220) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4221)  all_24_15 = e23 & op2(e21, e21) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4221) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4222)  all_24_15 = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4223)  op2(e21, e21) = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e23, e21, e21,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (4223) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4224)  all_6_2 = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e23, e24, e22,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (4216) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4225)  all_16_2 = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (4225) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4226)   ~ (all_12_2 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4226) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4227)   ~ (all_12_2 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (4225) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4228)   ~ (all_4_2 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4228) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4229)   ~ (all_4_2 = e23)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (4224) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4230)  op2(e21, e23) = all_6_1
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_6_1, e23, e21,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4116), (4230) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4231)  all_6_1 = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (4231) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4232)  op2(e24, e21) = all_6_0
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_15, all_6_0, e21,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e24, simplifying with (349), (4232) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4233)  all_16_15 = all_6_0
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (645), (4233) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4234)   ~ (all_6_0 = e22)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4235)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (671), (798), (3628), (4235) are
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #623.
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4236)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4237)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4237) implies:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4238)  all_24_8 = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4239)  op2(e22, e22) = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e24, e22, e22,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (4239) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4240)  all_4_2 = e24
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (4240) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4241)  op2(e22, e24) = all_4_1
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e23, all_4_1, e24, e22,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4216), (4241) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4242)  all_4_1 = e23
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (4242) imply:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4243)  op2(e23, e22) = all_4_0
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, all_4_0, e22, e23,
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (4243) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4244)  all_4_0 = e20
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4245)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4245) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4246)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4246) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4247)  all_24_0 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (330),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (337), (347), (350), (443), (445), (449),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (450), (462), (463), (464), (465), (470), (471),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (639), (654), (656),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (669), (671), (752), (798), (822), (1839),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1891), (1917), (1921), (1926), (1932),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (2086), (4115), (4215), (4222), (4247) are
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #256.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4248)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4248) are
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4249)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4249) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4250)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (4115), (4215),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4250) are inconsistent by sub-proof #695.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4251)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4251) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4252)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4252) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4253)  all_24_12 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (34), (35), (36), (37), (38), (39),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (336), (337), (347),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (443), (444), (445), (462), (463), (464), (465),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (639), (654), (656),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (822), (1891), (1917),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1932), (1938), (4115), (4222),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4253) are inconsistent by sub-proof #255.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4254)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4254) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4255)  all_24_20 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4256)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (4255),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4256) are inconsistent by sub-proof #359.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4257)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4257) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4258)  all_24_22 = e20 & op2(e20, e22) = e20
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4258) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4259)  op2(e20, e22) = e20
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (669), (4259) are inconsistent by
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4260)  all_24_23 = e20 & op2(e20, e21) = e20
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4260) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4261)  all_24_23 = e20
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4262)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4262) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4263)  all_24_9 = e22 & op2(e24, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4263) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4264)  op2(e24, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_0, e22, e21, e24,
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4232), (4264) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4265)  all_6_0 = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4234), (4265) imply:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4266)  $false
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4266) is inconsistent.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4267)  all_24_10 = e22 & op2(e23, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4267) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4268)  op2(e23, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (4268) are inconsistent
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4269)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4269) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4270)  all_24_11 = e22 & op2(e22, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4271)  all_24_11 = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (34), (35), (36), (37), (38), (39),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (453), (462), (463),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (635), (654), (656), (671),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (822), (1917), (1921), (1938),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (4115), (4215), (4238), (4271) are
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #688.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4272)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4272) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4273)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4222), (4273) are inconsistent by
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #548.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4274)  all_24_23 = e22 & op2(e20, e21) = e22
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (4261), (4274)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4275)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4275) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4276)  all_24_14 = e24 & op2(e21, e22) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4276) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4277)  all_24_14 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (35), (36), (37), (38),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (336), (337), (347),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (445), (462), (464), (465), (584), (629), (630),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (639), (654), (656), (671), (752), (822),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1891), (1917), (1921), (1926), (1932),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (4222), (4277) are inconsistent by
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #264.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4278)  all_24_22 = e24 & op2(e20, e22) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4278) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4279)  all_24_22 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4280)  op2(e20, e22) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, e24, e22, e20,
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (330), (4280) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4281)  all_16_14 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (4281) imply:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4282)   ~ (all_4_2 = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4282) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4283)   ~ (all_4_2 = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4284)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (4115), (4215),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4284) are inconsistent by sub-proof #380.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4285)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4285) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4286)  all_24_8 = e24 & op2(e22, e22) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (4283), (4286) are inconsistent by
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4287)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4287) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4288)  all_24_11 = e24 & op2(e22, e21) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (687), (4288) are inconsistent by
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4289)  all_24_18 = e24 & op2(e22, e20) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4289) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4290)  op2(e22, e20) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4291)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4291) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4292)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4292) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4293)  all_24_0 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4294)  op2(e24, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_22, e24, e20, e22,
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (338), (4290) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4295)  all_16_22 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e24, e24, e24,
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (4294) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4296)  all_12_2 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (49), (61), (330),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (337), (347), (350), (443), (445), (449),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (450), (462), (463), (464), (465), (470), (471),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (639), (654), (656),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (662), (669), (671), (752), (798), (822), (1839),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (1891), (1917), (1921), (1926), (1932),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (2086), (4115), (4215), (4222), (4293) are
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #256.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4297)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4297) are
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4298)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4298) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4299)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (654), (656), (671), (752), (803),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (1917), (1921), (2086), (4115), (4215),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4299) are inconsistent by sub-proof #695.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4300)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4300) gives:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4301)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4301) implies:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4302)  all_24_12 = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (34), (35), (36), (37), (38), (39),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (336), (337), (347),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (443), (444), (445), (462), (463), (464), (465),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (639), (654), (656),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (822), (1891), (1917),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1932), (1938), (4115), (4222),
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4302) are inconsistent by sub-proof #255.
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4303)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4303) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4304)  all_24_20 = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (330), (332), (336), (341),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (436), (462), (463), (464), (465), (466),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (635), (654), (656), (669), (671),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1839), (1917),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (2086),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4279), (4304) are inconsistent by sub-proof #271.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4305)  all_24_19 = e23 & op2(e21, e20) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (1896), (4305) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4306)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4306) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4307)  all_24_12 = e23 & op2(e21, e24) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (337), (4211), (4307) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4308)  all_24_20 = e23 & op2(e20, e24) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (2089), (4308) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #716.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4309)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4309) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4310)  all_24_13 = e20 & op2(e21, e23) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4310) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4311)  all_24_13 = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (4115), (4311) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #834.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4312)  all_24_21 = e20 & op2(e20, e23) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (4312) are
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4313)  all_24_21 = e24 & op2(e20, e23) = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4313) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4314)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e23 & op2(e24, e20) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (349), (1892), (3621), (4314) are
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #535.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4315)   ~ (all_20_2 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (4315) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4316)   ~ (all_16_10 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4317)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e23) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4317) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4318)  all_24_0 = e23 & op2(e24, e24) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4318) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4319)  all_24_0 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4320)  op2(e24, e24) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e23, e24, e24,
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (4320) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4321)  all_12_2 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (4321) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4322)   ~ (all_16_2 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (4321) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4323)   ~ (all_16_3 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (4321) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4324)  op2(e24, e23) = all_12_1
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_12_1, e23, e24,
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (49), (4324) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4325)  all_12_1 = e22
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4326)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4326) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4327)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4319), (4327) are inconsistent by sub-proof
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4328)  all_24_1 = e24 & op2(e24, e23) = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (4328) are inconsistent by sub-proof
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4329)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4329) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4330)  all_24_4 = e24 & op2(e24, e22) = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4330) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4331)  all_24_4 = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4332)  op2(e24, e22) = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_10, e24, e22, e24,
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (350), (4332) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4333)  all_16_10 = e24
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (4333) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4334)   ~ (all_16_13 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4334) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4335)   ~ (all_16_13 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (4333) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4336)   ~ (all_16_15 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (4333) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4337)   ~ (all_16_20 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4337) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4338)   ~ (all_16_20 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (4333) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4339)   ~ (all_4_2 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4339) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4340)   ~ (all_4_2 = e24)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4341)  all_20_17 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (4341) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4342)  all_16_13 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4342) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4343)  all_16_13 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (4343) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4344)   ~ (all_6_2 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4344) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4345)   ~ (all_6_2 = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4346)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (349), (752), (3621), (4346) are
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #564.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4347)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4347) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4348)  all_24_11 = e23 & op2(e22, e21) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4348) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4349)  all_24_11 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4350)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (337), (462), (464), (465),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (635), (654), (656), (671), (752),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (1917), (1921), (2086), (4323),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4350) are inconsistent by sub-proof #714.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4351)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4351) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4352)  all_24_14 = e23 & op2(e21, e22) = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4352) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4353)  all_24_14 = e23
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4354)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4355)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4319), (4355) are
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4356)  all_24_1 = e20 & op2(e24, e23) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4356) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4357)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4358)  all_24_4 = e20 & op2(e24, e22) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (4358) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4359)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4360)  all_24_9 = e20 & op2(e24, e21) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4360) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4361)  all_24_9 = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4362)  op2(e24, e21) = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4363)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4363) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4364)  all_24_0 = e21 & op2(e24, e24) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4364) are inconsistent by sub-proof #675.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4365)  all_24_1 = e21 & op2(e24, e23) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (635), (4365) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4366)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4366) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4367)  all_24_4 = e21 & op2(e24, e22) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4331), (4367) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #759.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4368)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4368) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4369)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (4361), (4369) are inconsistent by
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #653.
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4370)  all_24_16 = e21 & op2(e24, e20) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4370) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4371)  all_24_16 = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4372)  op2(e24, e20) = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, e21, e20, e24,
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (348), (4372) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4373)  all_16_20 = e21
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_15, e20, e21, e24,
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (349), (4362) gives:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4374)  all_16_15 = e20
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (4374) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4375)   ~ (all_16_19 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4375) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4376)   ~ (all_16_19 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (4373), (4374) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4377)   ~ (e21 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4374) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4378)   ~ (all_6_2 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4378) implies:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4379)   ~ (all_6_2 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (4374) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4380)   ~ (e23 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (645), (4374) imply:
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4381)   ~ (e22 = e20)
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (4373) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4382)   ~ (all_8_2 = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4382) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4383)   ~ (all_8_2 = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (4373) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4384)   ~ (e23 = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (647), (4373) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4385)   ~ (e22 = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4386)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4386) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4387)  all_24_20 = e20 & op2(e20, e24) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4387) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4388)  all_24_20 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4389)  op2(e20, e24) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4390)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4390) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4391)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4391) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4392)  all_24_20 = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4388), (4392) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4393)  e24 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4393) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4394)  all_24_21 = e24 & op2(e20, e23) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4394) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4395)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e24 & op2(e20, e21) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4395) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4396)  all_24_22 = e24 & op2(e20, e22) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4396) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4397)  op2(e20, e22) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (61), (329), (330),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (822), (1938), (4376), (4389), (4397) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #259.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4398)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4398) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4399)  all_24_23 = e24 & op2(e20, e21) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4399) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4400)  op2(e20, e21) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (329), (691), (4400) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #769.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4401)  all_24_24 = e24 & op2(e20, e20) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4402)  all_24_24 = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4403)  op2(e20, e20) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e24, e20, e20,
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (4403) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4404)  all_8_2 = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e20, e24, e20,
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (4389) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4405)  all_16_4 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4406)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (350), (643), (4406) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4407)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4407) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4408)  all_24_8 = e22 & op2(e22, e22) = e22
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4408) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4409)  all_24_8 = e22
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4410)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4410) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4411)  all_24_6 = e21 & op2(e22, e24) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4411) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4412)  all_24_6 = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4413)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4413) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4414)  all_24_4 = e21 & op2(e24, e22) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4331), (4414) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #759.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4415)  all_24_5 = e21 & op2(e23, e22) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (4415) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4416)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4416) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4417)  all_24_8 = e21 & op2(e22, e22) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4409), (4417) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #625.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4418)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4418) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4419)  all_24_14 = e21 & op2(e21, e22) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4353), (4419) are inconsistent by sub-proof #707.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4420)  all_24_22 = e21 & op2(e20, e22) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4421)  all_24_22 = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4422)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4422) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4423)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4319), (4423) are inconsistent by sub-proof
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4424)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4424) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4425)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4425) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4426)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4426) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4427)  all_24_6 = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4412), (4427) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #778.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4428)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4428) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4429)  all_24_12 = e24 & op2(e21, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4429) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4430)  all_24_12 = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4431)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4431) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4432)  all_24_9 = e21 & op2(e24, e21) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4432) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4433)  all_24_9 = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4434)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4434) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4435)  all_24_0 = e20 & op2(e24, e24) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4319), (4435) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4436)  all_24_1 = e20 & op2(e24, e23) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4436) are inconsistent by
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4437)  all_24_4 = e20 & op2(e24, e22) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4437) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4438)  all_24_4 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4371), (4438) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #504.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4361), (4433) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4439)  e21 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4371), (4439) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4440)  all_24_16 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (349), (464), (465), (472), (478),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (752), (807),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (4319), (4361), (4440) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #494.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4441)  all_24_16 = e20 & op2(e24, e20) = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4441) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4442)  all_24_16 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4371), (4442) imply:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4443)  e21 = e20
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (349), (464), (465), (472), (478),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (752), (807),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (4319), (4361), (4442) are
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #494.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4444)  all_24_10 = e21 & op2(e23, e21) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (4444) are inconsistent
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4445)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4445) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4446)  all_24_11 = e21 & op2(e22, e21) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4349), (4446) are inconsistent by sub-proof #655.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4447)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4448)  all_24_15 = e21 & op2(e21, e21) = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4448) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4449)  all_24_15 = e21
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4450)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4450) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4451)  all_24_12 = e22 & op2(e21, e24) = e22
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4451) implies:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4452)  all_24_12 = e22
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4453)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4453) gives:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4454)  all_24_0 = e24 & op2(e24, e24) = e24
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4319), (4454) are inconsistent by sub-proof
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4455)  all_24_2 = e24 & op2(e23, e24) = e24
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4455) are
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4425) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4456)  all_24_6 = e24 & op2(e22, e24) = e24
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4412), (4456) are inconsistent by
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #804.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4428) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4452) imply:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4457)  e24 = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4457) imply:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4458)  $false
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4458) is inconsistent.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4459)  all_24_20 = e24 & op2(e20, e24) = e24
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (4388), (4459) are inconsistent by
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #820.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4460)  all_24_13 = e22 & op2(e21, e23) = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (639), (4460) are inconsistent by
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #700.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4461)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4461) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4462)  all_24_14 = e22 & op2(e21, e22) = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4353), (4462) are inconsistent by
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4463)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4463) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4464)  all_24_15 = e22 & op2(e21, e21) = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4464) implies:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4465)  all_24_15 = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4449), (4465) are
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #654.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4466)  all_24_19 = e22 & op2(e21, e20) = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4466) implies:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4467)  all_24_19 = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4468)  op2(e21, e20) = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4469)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4469) gives:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4470)  all_24_1 = e24 & op2(e24, e23) = e24
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4470) implies:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4471)  all_24_1 = e24
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (4471) imply:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4472)  e24 = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4472) implies:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4473)  e24 = e22
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (329), (339), (349),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (447), (454), (456), (457), (462),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (468), (471), (478),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (689),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (1840), (1917),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (2086), (4319), (4331), (4349),
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4353), (4388), (4467), (4473) are inconsistent by
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #251.
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 237.90/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4474)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4475)  all_24_3 = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (4475) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4476)  e24 = e21
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4476) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4477)  e24 = e21
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4331), (4477) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4478)  all_24_4 = e21
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4479)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4479) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4480)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4480) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4481)  all_24_16 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4478), (4481) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #498.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4482)  all_24_17 = e20 & op2(e23, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4482) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4483)  all_24_17 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1921), (4483) are inconsistent by
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #888.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4484)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4485)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4485) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4486)  op2(e22, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (35), (37), (39), (46), (47),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (4468), (4486) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #536.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4487)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4487) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4488)  all_24_19 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4467), (4488) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4489)  e22 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (4489) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4490)  all_24_2 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (4490) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4491)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4491) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4492)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4492) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4493)  all_24_7 = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4494)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4494) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4495)  all_24_6 = e20 & op2(e22, e24) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4495) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4496)  all_24_6 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4412), (4496) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4497)  e21 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4497) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4498)  e21 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4371), (4498) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4499)  all_24_16 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4499) are inconsistent by sub-proof #495.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4500)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4500) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4501)  all_24_7 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4493),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4501) are inconsistent by sub-proof #250.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4502)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4502) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4503)  all_24_8 = e20 & op2(e22, e22) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4503) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4504)  all_24_8 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (4409), (4504)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #713.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4505)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4505) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4506)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4506) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4507)  all_24_11 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4349), (4507) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4508)  e23 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4508) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4509)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4509) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4510)  op2(e22, e20) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (35), (37), (39), (46), (47),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (4468), (4510) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #536.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4511)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4511) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4512)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4512) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4513)  all_24_13 = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4514)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4514) gives:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4515)  all_24_12 = e20 & op2(e21, e24) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4515) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4516)  all_24_12 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4516) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4517)  e24 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4517) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4518)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4518) implies:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4519)  all_24_13 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4513), (4519) imply:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4520)  e24 = e20
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4520) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4521)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (35), (36), (37), (38), (39), (46),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (48), (61), (73), (462), (464), (465),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (822), (1917),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (4353), (4379), (4521) are
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4522)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4522) are inconsistent by
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4523)  all_24_23 = e21 & op2(e20, e21) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4523) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4524)  all_24_23 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (462), (463), (464), (465), (466),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (635), (654), (656), (671), (691),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1917), (1921),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1934), (1938), (2073), (2079), (4388), (4421),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4524) are inconsistent by sub-proof #248.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4525)  all_24_20 = e24 & op2(e20, e24) = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4388),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4525) are inconsistent by sub-proof #247.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4526)  all_24_7 = e21 & op2(e22, e23) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4526) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4527)  all_24_7 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4527) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4528)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (34), (35), (36), (37), (38), (39),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (463), (464), (465),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (656), (671), (752), (798), (822), (1917),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (4349), (4409), (4528) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #541.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4529)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4529) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4530)  all_24_14 = e22 & op2(e21, e22) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4353), (4530) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4531)  all_24_22 = e22 & op2(e20, e22) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4532)  all_24_22 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4533)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e21 & op2(e20, e23) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4533) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4534)  all_24_20 = e21 & op2(e20, e24) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4371), (4388), (4534) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #246.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4535)  all_24_21 = e21 & op2(e20, e23) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4535) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4536)  all_24_21 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (336), (341), (464), (465), (467),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (2073), (2079),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4536) are inconsistent by sub-proof #765.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4537)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4537) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4538)  all_24_22 = e21 & op2(e20, e22) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4532), (4538) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #849.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4539)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4540)  all_24_23 = e21 & op2(e20, e21) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4540) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4541)  all_24_23 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4542)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (349), (462), (463), (464),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (472), (478), (635), (654), (656),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (684), (752), (798), (807), (1917), (1921),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4542) are inconsistent by sub-proof #496.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4543)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4543) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4544)  all_24_11 = e22 & op2(e22, e21) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4349), (4544) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4545)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4545) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4546)  all_24_15 = e22 & op2(e21, e21) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4546) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4547)  all_24_15 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4548)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4548) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4549)  all_24_12 = e21 & op2(e21, e24) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4549) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4550)  all_24_12 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4551)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4551) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4552)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4552) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4553)  all_24_4 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4331), (4553) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4554)  e24 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4402), (4554) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4555)  all_24_24 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4532), (4555) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4556)  all_24_5 = e21 & op2(e23, e22) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (4556) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4557)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4557) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4558)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4558) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4559)  all_24_8 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4560)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4560) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4561)  all_24_0 = e24 & op2(e24, e24) = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4319), (4561) are inconsistent by sub-proof
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4562)  all_24_2 = e24 & op2(e23, e24) = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4562) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4563)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4563) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4564)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4564) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4565)  all_24_6 = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4566)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4566) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4567)  all_24_6 = e22 & op2(e22, e24) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4567) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4568)  all_24_6 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4565), (4568) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4569)  e24 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4569) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4570)  e24 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4570) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4571)  $false
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4571) is inconsistent.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4572)  all_24_7 = e22 & op2(e22, e23) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4572) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4573)  all_24_7 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (463), (464), (465),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (635), (654), (656), (671), (752),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (1917), (1921), (2086), (4573) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #812.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4574)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4574) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4575)  all_24_8 = e22 & op2(e22, e22) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4575) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4576)  all_24_8 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4559), (4576) are
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4577)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4577) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4578)  all_24_11 = e22 & op2(e22, e21) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4578) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4579)  all_24_11 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4349), (4579) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4580)  e23 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (464), (584), (629), (630), (752), (1891),
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (4580) are inconsistent by
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4581)  all_24_18 = e22 & op2(e22, e20) = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4581) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4582)  all_24_18 = e22
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4583)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4583) gives:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4584)  all_24_12 = e24 & op2(e21, e24) = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4584) implies:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4585)  all_24_12 = e24
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4550), (4585) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4586)  e24 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4402), (4586) imply:
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4587)  all_24_24 = e21
% 238.13/46.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4532), (4587) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4588)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (34), (35), (36), (37), (38), (39),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (73), (329), (332),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (436), (438), (443), (457),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (478), (635), (654), (656), (671), (684),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (822), (1917),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4379), (4388),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4402), (4532), (4541), (4550), (4559), (4588) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #243.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4589)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4589) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4590)  all_24_14 = e24 & op2(e21, e22) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4353), (4590) are inconsistent by sub-proof
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #502.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4591)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4591) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4592)  all_24_15 = e24 & op2(e21, e21) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (689), (4592) are inconsistent by
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4593)  all_24_19 = e24 & op2(e21, e20) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4593) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4594)  all_24_19 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4595)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4596)  all_24_6 = e20 & op2(e22, e24) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4596) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4597)  all_24_6 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4565), (4597) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4598)  e24 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4598) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4599)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4599) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4600)  all_24_7 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4601)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4601) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4602)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4603)  all_24_1 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (4603) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4604)  e24 = e22
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4604) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4605)  e24 = e22
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4594), (4605) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4606)  all_24_19 = e22
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (329), (339), (349),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439), (447), (454), (456), (457), (462),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (468), (471), (478),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (684), (687), (689),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (1840), (1917),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (2086), (4319), (4331), (4349),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4353), (4388), (4605), (4606) are inconsistent by
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #251.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4607)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4607) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4608)  all_24_3 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (4608) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4609)  e24 = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4402), (4532), (4609) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4610)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4610) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4611)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4611) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4612)  all_24_7 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4600), (4612) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4613)  e24 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4613) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4614)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4615)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (34), (35), (36), (37), (38), (39),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (49), (61), (73), (329), (332),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (349), (436), (438), (443), (457),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (472), (478), (635), (654), (656), (671), (684),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (691), (752), (798), (803), (807), (822), (1917),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4379), (4388),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4402), (4532), (4541), (4550), (4559), (4615) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #243.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4616)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4616) are inconsistent by
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4617)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4618)  all_24_8 = e20 & op2(e22, e22) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4619)  all_24_8 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (457), (462), (463), (464), (465),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (467), (468), (472), (635), (654), (656),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (691), (752), (798), (803), (807), (1917),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4388), (4402),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4541), (4619) are inconsistent by
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #244.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4620)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4620) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4621)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4621) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4622)  all_24_11 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4349), (4622) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4623)  e23 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4623) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4624)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1921), (4582), (4624)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #376.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4625)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4625) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4626)  all_24_12 = e24 & op2(e21, e24) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4627)  all_24_12 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4550), (4627) imply:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4628)  e24 = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4402), (4532), (4628) are
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4629)  all_24_20 = e24 & op2(e20, e24) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4388),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4629) are inconsistent by sub-proof #247.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4630)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4630) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4631)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4353), (4631) are inconsistent by sub-proof #707.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4632)  all_24_22 = e21 & op2(e20, e22) = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4633)  all_24_22 = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (462), (463), (464), (465), (466),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (635), (654), (656), (671), (691),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1917), (1921),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1934), (1938), (2073), (2079), (4388), (4541),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4633) are inconsistent by sub-proof #248.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4634)  all_24_13 = e21 & op2(e21, e23) = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4634) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4635)  all_24_13 = e21
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4636)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (2073), (2079), (4388), (4402),
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4636) are inconsistent by sub-proof #242.
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4637)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4637) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4638)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4639)  all_24_7 = e24
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4640)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4640) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4641)  all_24_6 = e20 & op2(e22, e24) = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4641) implies:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4642)  all_24_6 = e20
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4643)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4643) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4644)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4371), (4642), (4644) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #241.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4645)  all_24_7 = e21 & op2(e22, e23) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4646)  all_24_7 = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4646) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4647)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4647) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4648)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4648) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4649)  all_24_8 = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4650)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4650) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4651)  all_24_0 = e24 & op2(e24, e24) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4319), (4651) are inconsistent by sub-proof
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4652)  all_24_2 = e24 & op2(e23, e24) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (4652) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4653)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4653) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4654)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4642),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4654) are inconsistent by sub-proof #240.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4655)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4655) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4656)  all_24_12 = e24 & op2(e21, e24) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4656) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4657)  all_24_12 = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4658)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4658) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4659)  all_24_12 = e20 & op2(e21, e24) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4659) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4660)  all_24_12 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4657), (4660) imply:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4661)  e24 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4661) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4662)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4662) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4663)  all_24_13 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4635), (4663) imply:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4664)  e21 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4664) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4665)  e21 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4649), (4665) imply:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4666)  all_24_8 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (457), (462), (463), (464), (465),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (467), (468), (472), (635), (654), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (691), (752), (798), (803), (807), (1917),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4388), (4402),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4541), (4666) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #244.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4667)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (35), (36), (37), (38), (39), (46),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (48), (61), (73), (462), (464), (465),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (822), (1917),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1938), (4353), (4379), (4667) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4668)  all_24_20 = e24 & op2(e20, e24) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4388),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4668) are inconsistent by sub-proof #247.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4669)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4670)  all_24_11 = e21 & op2(e22, e21) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4349), (4670) are inconsistent by sub-proof #655.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4671)  all_24_18 = e21 & op2(e22, e20) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (35), (37), (39), (46), (47), (61),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (752), (822), (1938), (4671) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #797.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4672)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4672) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4673)  all_24_7 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4639),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4673) are inconsistent by sub-proof #250.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4674)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4674) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4675)  all_24_8 = e20 & op2(e22, e22) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4675) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4676)  all_24_8 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (457), (462), (463), (464), (465),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (467), (468), (472), (635), (654), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (691), (752), (798), (803), (807), (1917),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4388), (4402),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4541), (4676) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #244.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4677)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4678)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4349), (4678) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #537.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4679)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4679) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4680)  all_24_18 = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4681)  op2(e22, e20) = e20
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (34), (35), (36), (37), (38),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (347), (348),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (462), (463), (464), (465), (466), (468),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (635), (647), (654), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (822), (1891), (1917),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1926), (1938), (2086), (4402), (4639),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4680), (4681) are inconsistent by sub-proof #260.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4682)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4682) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4683)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4684)  all_24_13 = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4635), (4684) imply:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4685)  e24 = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4402), (4532), (4685) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4686)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4686) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4687)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4687) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4688)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4353), (4688) are inconsistent by sub-proof #707.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4689)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4689) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4690)  all_24_15 = e21 & op2(e21, e21) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4547), (4690) are
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4691)  all_24_19 = e21 & op2(e21, e20) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4691) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4692)  all_24_19 = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4693)  op2(e21, e20) = e21
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4694)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (464), (584), (629), (630), (647),
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (1891), (1926), (4694) are inconsistent by
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #805.
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4695)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22) |
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4695) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4696)  all_24_18 = e22 & op2(e22, e20) = e22
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4696) implies:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4697)  all_24_18 = e22
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4698)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4698) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4699)  all_24_6 = e20 & op2(e22, e24) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4700)  all_24_6 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4701)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4701) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4702)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4700),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4702) are inconsistent by sub-proof #240.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4703)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4703) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4704)  all_24_7 = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4705)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1917), (1921), (4319),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4705) are inconsistent by sub-proof #533.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4706)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4706) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4707)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4371), (4700), (4707) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #241.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4708)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4708) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4709)  all_24_12 = e21 & op2(e21, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4709) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4710)  all_24_12 = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4711)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4704), (4710), (4711) are
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #335.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4712)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4712) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4713)  all_24_14 = e24 & op2(e21, e22) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4353), (4713) are inconsistent by sub-proof
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #502.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4714)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (73), (336), (341), (462),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (635), (654),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (689), (752), (803), (807), (1917),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (2073), (2079), (2086), (4692), (4704),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4714) are inconsistent by sub-proof #325.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4715)  all_24_20 = e21 & op2(e20, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4371), (4388), (4715) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #246.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4716)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (61), (63), (339), (687), (4340), (4697),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4716) are inconsistent by sub-proof #239.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4717)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4717) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4718)  all_24_7 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4719)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4720)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4721)  all_24_6 = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4722)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (2073), (2079), (4388), (4402),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4722) are inconsistent by sub-proof #242.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4723)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4723) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4724)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4724) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4725)  all_24_7 = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4718), (4725) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4726)  e24 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4726) are
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4727)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4728)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4729)  all_24_13 = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4730)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1917), (1921), (4319),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4730) are inconsistent by sub-proof #533.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4731)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4731) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4732)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4732) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4733)  all_24_6 = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4721), (4733) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4734)  e24 = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4402), (4532), (4734) are
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4735)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4735) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4736)  all_24_12 = e21 & op2(e21, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4736) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4737)  all_24_12 = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4738)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4738) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4739)  all_24_12 = e20 & op2(e21, e24) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4739) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4740)  all_24_12 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4737), (4740) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4741)  e21 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4741) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4742)  e21 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4371), (4742) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4743)  all_24_16 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4743) are inconsistent by sub-proof #495.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4744)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4744) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4745)  all_24_13 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4729), (4745) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4746)  e24 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4746) are
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4747)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4747) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4748)  all_24_14 = e20 & op2(e21, e22) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4748) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4749)  all_24_14 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4353), (4749) imply:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4750)  e23 = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4750) are
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4751)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4751) gives:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4752)  all_24_15 = e20 & op2(e21, e21) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (4379), (4752) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #519.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4753)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4753) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4754)  op2(e21, e20) = e20
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (654), (4693), (4754) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #781.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4755)  all_24_20 = e21 & op2(e20, e24) = e21
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (464), (465), (472), (635), (654),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (752), (1917), (1921), (4319), (4331),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4361), (4371), (4388), (4755) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #246.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4756)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4756) are inconsistent by
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4757)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4758)  all_24_7 = e24
% 238.13/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4331), (4371), (4718),
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4758) are inconsistent by sub-proof #250.
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4759)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (61), (63), (339), (687), (4340), (4697),
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4759) are inconsistent by sub-proof #239.
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4760)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4760) gives:
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4761)  all_24_8 = e20 & op2(e22, e22) = e20
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4762)  all_24_8 = e20
% 238.31/46.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (332), (336), (341),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (457), (462), (463), (464), (465),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (467), (468), (472), (635), (654), (656),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (691), (752), (798), (803), (807), (1917),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (1934), (1938), (2073), (2079), (4319),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4353), (4361), (4371), (4388), (4402),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4532), (4541), (4762) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #244.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4763)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4763) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4764)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4349), (4764) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #537.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4765)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4765) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4766)  all_24_18 = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4697), (4766) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4767)  e22 = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (4767) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4768)  all_24_2 = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (462), (463), (464), (465), (635),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (4768) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4769)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4769) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4770)  all_24_19 = e22 & op2(e21, e20) = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4770) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4771)  all_24_19 = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4692), (4771) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #685.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4772)  all_24_24 = e22 & op2(e20, e20) = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4772) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4773)  all_24_24 = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (4402), (4773) are inconsistent by sub-proof
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #633.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4774)  all_24_23 = e22 & op2(e20, e21) = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4541), (4774) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4775)  all_24_24 = e21 & op2(e20, e20) = e21
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4775) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4776)  all_24_24 = e21
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (329),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (341), (438), (467), (656), (671), (691),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (4388), (4532), (4776) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4777)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (4777) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4778)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4778) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4779)  all_24_22 = e20 & op2(e20, e22) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4779) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4780)  all_24_22 = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (350), (457), (458), (462),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (584), (629), (630), (635),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (643), (654), (656), (671), (752), (798), (1891),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (4331), (4353), (4780) are
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #357.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4781)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4781) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4782)  op2(e20, e21) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (329), (4376), (4782) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #960.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4783)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4783) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4784)  op2(e24, e20) = e20
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (35), (37), (39), (46), (47), (61),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (4784) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #885.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4785)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4785) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4786)  all_24_15 = e23 & op2(e21, e21) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (4345), (4786) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #680.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4787)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (1896), (4787) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4788)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4788) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4789)  all_24_15 = e23 & op2(e21, e21) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (4345), (4789) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #680.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4790)  all_24_23 = e23 & op2(e20, e21) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4790) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4791)  all_24_23 = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (330), (332), (336),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (435), (436), (438), (462), (463),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (466), (467), (468), (584), (629),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (630), (635), (654), (656), (669), (671), (691),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (803), (807), (1839), (1891),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1921), (1926), (1934), (1938), (2073),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2086), (4791) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4792)   ~ (all_20_17 = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (4792) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4793)   ~ (all_16_13 = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4794)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e22) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4794) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4795)  all_24_4 = e23 & op2(e24, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4795) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4796)  op2(e24, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (61), (4332), (4796) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #660.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4797)  all_24_5 = e23 & op2(e23, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4797) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4798)  op2(e23, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (4798) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4799)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4799) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4800)  all_24_8 = e23 & op2(e22, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4800) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4801)  all_24_8 = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4802)  op2(e22, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4803)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (337), (462), (464), (465),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (635), (654), (656), (671), (752),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (803), (807), (1917), (1921), (2086), (4323),
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4803) are inconsistent by sub-proof #714.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4804)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4804) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4805)  all_24_14 = e23 & op2(e21, e22) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (4793), (4805) are inconsistent by
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #719.
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4806)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4806) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4807)  all_24_15 = e23 & op2(e21, e21) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4807) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4808)  all_24_15 = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4809)  op2(e21, e21) = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e23, e21, e21,
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (4809) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4810)  all_6_2 = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e23, e22, e22,
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (4802) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4811)  all_4_2 = e23
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (4811) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4812)   ~ (all_16_17 = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (4811) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4813)  op2(e22, e23) = all_4_1
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (4810) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4814)  op2(e21, e23) = all_6_1
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, all_6_1, e23,
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (336), (4814) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4815)  all_16_8 = all_6_1
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, all_4_1, e23,
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (341), (4813) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4816)  all_16_7 = all_4_1
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (4815), (4816) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4817)   ~ (all_6_1 = all_4_1)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4817) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4818)   ~ (all_6_1 = all_4_1)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (4816) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4819)   ~ (all_16_22 = all_4_1)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4819) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4820)   ~ (all_16_22 = all_4_1)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2079), (4816) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4821)   ~ (all_4_1 = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (4816) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4822)   ~ (all_4_1 = e22)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (4816) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4823)   ~ (all_4_1 = e21)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (4815) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4824)   ~ (all_6_1 = e23)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (4815) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4825)   ~ (all_6_1 = e22)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (4815) imply:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4826)   ~ (all_6_1 = e21)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4827)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4827) gives:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4828)  all_24_12 = e22 & op2(e21, e24) = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4828) implies:
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4829)  op2(e21, e24) = e22
% 238.31/46.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_3, e22, e24, e21,
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (337), (4829) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4830)  all_16_3 = e22
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1932), (4830) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4831)  $false
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4831) is inconsistent.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4832)  all_24_13 = e22 & op2(e21, e23) = e22
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (639), (4832) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #700.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4833)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4833) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4834)  all_24_14 = e22 & op2(e21, e22) = e22
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4834) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4835)  all_24_14 = e22
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4836)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4836) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4837)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (4331), (4837) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #759.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4838)  all_24_5 = e21 & op2(e23, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (4838) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4839)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4839) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4840)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4801), (4840) are inconsistent by sub-proof #851.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4841)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4841) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4842)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4835), (4842) are
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4843)  all_24_22 = e21 & op2(e20, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4843) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4844)  all_24_22 = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4845)  op2(e20, e22) = e21
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4846)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4846) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4847)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4847) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4848)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (4848) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4849)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4849) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4850)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4850) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4851)  all_24_7 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4852)  op2(e22, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4853)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4853) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4854)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (4854) are inconsistent by sub-proof
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4855)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (4855) are inconsistent by sub-proof
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4856)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4856) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4857)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4857) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4858)  all_24_7 = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (4851), (4858) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #869.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4859)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4859) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4860)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4860) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4861)  op2(e21, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_1, e24, e23, e21,
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4814), (4861) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4862)  all_6_1 = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e20, e23, e22,
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4813), (4852) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4863)  all_4_1 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4820), (4863) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4864)   ~ (all_16_22 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4821), (4863) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4865)   ~ (e23 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4822), (4863) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4866)   ~ (e22 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4823), (4863) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4867)   ~ (e21 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4868)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4868) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4869)  all_24_0 = e20 & op2(e24, e24) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4319), (4869) are
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4870)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4870) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4871)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4871) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4872)  all_24_4 = e20 & op2(e24, e22) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (4872) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4873)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4873) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4874)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4874) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4875)  all_24_9 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4876)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (462), (464), (465), (472), (635),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1917), (1921),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4331), (4875), (4876) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #238.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4877)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4877) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4878)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (4864), (4878) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4879)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (35), (37), (39), (46), (47), (61),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (4879) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #278.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4880)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4880) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4881)  op2(e24, e20) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (35), (37), (39), (46), (47), (61),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (4881) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #885.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4882)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (4882) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4883)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4883) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4884)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4884) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4885)  all_24_13 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4886)  op2(e21, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4887)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4887) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4888)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (4888) are inconsistent by sub-proof
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4889)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (4889) are inconsistent by sub-proof
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4890)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4890) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4891)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4892)  all_24_7 = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4893)  op2(e22, e23) = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_1, e20, e23, e21,
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4814), (4886) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4894)  all_6_1 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e24, e23, e22,
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4813), (4893) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4895)  all_4_1 = e24
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4824), (4894) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4896)   ~ (e23 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4825), (4894) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4897)   ~ (e22 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4826), (4894) imply:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4898)   ~ (e21 = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4899)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4899) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4900)  all_24_0 = e20 & op2(e24, e24) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4319), (4900) are
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4901)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4901) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4902)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4902) gives:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4903)  all_24_4 = e20 & op2(e24, e22) = e20
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (4903) are inconsistent by
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4904)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4904) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4905)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4905) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4906)  all_24_9 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4907)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4907) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4908)  all_24_0 = e21 & op2(e24, e24) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4908) are inconsistent by sub-proof #675.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4909)  all_24_1 = e21 & op2(e24, e23) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (635), (4909) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4910)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4910) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4911)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4331), (4892), (4911) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #706.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4912)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4912) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4913)  all_24_9 = e21 & op2(e24, e21) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4913) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4914)  all_24_9 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4906), (4914) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4915)  e21 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4844), (4915) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4916)  all_24_22 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (457), (463), (464), (465), (635),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4331), (4801), (4835), (4916) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #755.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4917)  all_24_16 = e21 & op2(e24, e20) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4917) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4918)  all_24_16 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4919)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (61), (462), (464), (465), (472), (635),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4331), (4906), (4919) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #238.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4920)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4920) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4921)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4921) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4922)  op2(e22, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (37), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (752), (822), (1938), (4845), (4922) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #319.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4923)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4923) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4924)  all_24_19 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4925)  op2(e21, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4926)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4926) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4927)  all_24_12 = e24 & op2(e21, e24) = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4927) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4928)  all_24_12 = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4929)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4929) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4930)  all_24_12 = e21 & op2(e21, e24) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4930) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4931)  all_24_12 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4928), (4931) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4932)  e24 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4892), (4932) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4933)  all_24_7 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (336), (341), (462), (464),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (635), (654), (656),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (803), (807), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2073), (2079), (2086), (4933) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #744.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4934)  all_24_13 = e21 & op2(e21, e23) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4935)  all_24_13 = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4885), (4935) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4936)  e21 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4936) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4937)  e21 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4918), (4937) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4938)  all_24_16 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (348), (439), (440), (442), (462),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (647), (654), (656),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (1938), (4924),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4938) are inconsistent by sub-proof #632.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4939)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4939) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4940)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (1921), (4835), (4940) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4941)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4941) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4942)  all_24_15 = e21 & op2(e21, e21) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4808), (4942) are inconsistent by sub-proof #532.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4943)  all_24_19 = e21 & op2(e21, e20) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4943) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4944)  op2(e21, e20) = e21
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (654), (4925), (4944) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #781.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4945)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4946)  all_24_13 = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (462), (464), (465), (466),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (1917), (1921),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (4892), (4946) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #831.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4947)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4948)  all_24_14 = e24 & op2(e21, e22) = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4948) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4949)  all_24_14 = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4835), (4949) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4950)  e24 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4950) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4951)  e24 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4892), (4951) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4952)  all_24_7 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (347), (462), (463), (464),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (466), (467), (468), (584), (629), (630),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (803), (807),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1917), (1921), (1926), (4885), (4952) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #761.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4953)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4953) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4954)  all_24_15 = e24 & op2(e21, e21) = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (689), (4954) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4955)  all_24_19 = e24 & op2(e21, e20) = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4955) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4956)  all_24_19 = e24
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4924), (4956) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4957)  e24 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4331), (4957) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4958)  all_24_4 = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4918), (4958) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #504.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4959)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4959) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4960)  op2(e24, e20) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (35), (37), (39), (46), (47), (61),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1938), (4960) are inconsistent by
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #885.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4961)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (671), (2073), (2079), (4885), (4961) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #604.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4962)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (2086), (4962) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4963)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4963) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4964)  all_24_15 = e22 & op2(e21, e21) = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4964) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4965)  all_24_15 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4808), (4965) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4966)  e23 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4801), (4966) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4967)  all_24_8 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (338), (339), (341), (342), (347), (455), (464),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (584), (629), (630), (752), (1891), (1894),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1917), (1926), (2079), (4322), (4812), (4967) are
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #807.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4968)  all_24_19 = e22 & op2(e21, e20) = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4968) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4969)  op2(e21, e20) = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, e22, e20, e21,
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (333), (4969) gives:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4970)  all_16_23 = e22
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (4970) imply:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4971)   ~ (all_8_2 = e22)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4971) implies:
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4972)   ~ (all_8_2 = e22)
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (34), (35), (36), (37),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (39), (46), (47), (48), (61), (83), (347),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (440), (462), (463), (464), (465), (584),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (629), (630), (635), (647), (654), (656), (671),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (822), (1840), (1891), (1921), (1926),
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1938), (4972) are inconsistent by sub-proof #258.
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4973)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (1896), (4973) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4974)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (335), (2091), (4793), (4974) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #717.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4975)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4976)  all_24_9 = e24 & op2(e24, e21) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (349), (684), (4976) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4977)  all_24_16 = e24 & op2(e24, e20) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4977) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4978)  all_24_16 = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4979)  op2(e24, e20) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4980)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4980) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4981)  all_24_0 = e20 & op2(e24, e24) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (4319), (4981) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4982)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (4982) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4983)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4983) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4984)  all_24_4 = e20 & op2(e24, e22) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (4984) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4985)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4986)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4986) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4987)  all_24_9 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4988)  op2(e24, e21) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4989)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4989) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4990)  all_24_0 = e21 & op2(e24, e24) = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (1917), (1921),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (4990) are inconsistent by sub-proof #675.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4991)  all_24_1 = e21 & op2(e24, e23) = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (635), (4991) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4992)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4993)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4993) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4994)  all_24_4 = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4995)  op2(e24, e22) = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, e24, e20, e24,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (348), (4979) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4996)  all_16_20 = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_15, e20, e21, e24,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (349), (4988) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4997)  all_16_15 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_10, e21, e22, e24,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (350), (4995) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4998)  all_16_10 = e21
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4316), (4998) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4999)   ~ (e23 = e21)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (643), (4998) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5000)   ~ (e22 = e21)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (4997) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5001)   ~ (all_16_19 = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5001) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5002)   ~ (all_16_19 = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (4997) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5003)   ~ (e23 = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (4996) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5004)   ~ (all_8_2 = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5004) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5005)   ~ (all_8_2 = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5006)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5006) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5007)  all_24_20 = e20 & op2(e20, e24) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5007) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5008)  all_24_20 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5009)  op2(e20, e24) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5010)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5010) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5011)  all_24_20 = e24 & op2(e20, e24) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5011) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5012)  all_24_20 = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5008), (5012) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5013)  e24 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4978), (5013) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5014)  all_24_16 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (61), (349), (478), (656), (671),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (684), (807), (4319), (4994), (5014) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #498.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5015)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (2073), (2079), (5015) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5016)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e24 & op2(e20, e21) = e24) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5016) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5017)  all_24_22 = e24 & op2(e20, e22) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5017) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5018)  op2(e20, e22) = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, e24, e22, e20,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (330), (5018) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5019)  all_16_14 = e24
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e20, e24, e20,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (5009) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5020)  all_16_4 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (21), (23), (37), (61), (329), (330),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (822), (1938), (5002), (5009), (5018) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #259.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5021)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (329), (691), (5005), (5021) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #341.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5022)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5022) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5023)  all_24_21 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (5023) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5024)  e23 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (1917), (1921), (5024) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5025)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5025) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5026)  all_24_22 = e20 & op2(e20, e22) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5026) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5027)  op2(e20, e22) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (669), (5027) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5028)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5028) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5029)  op2(e20, e21) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e20, e21, e20,
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (5029) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5030)  all_16_19 = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5002), (5030) imply:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5031)  $false
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5031) is inconsistent.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5032)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (656), (4978), (4987), (5032) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #672.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5033)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (671), (4979), (5033) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #343.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5034)  all_24_1 = e23 & op2(e24, e23) = e23
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (61), (5034) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #956.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5035)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e21) = e23) | (all_24_16 = e23
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e23)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5035) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5036)  all_24_4 = e23 & op2(e24, e22) = e23
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (4316), (5036) are inconsistent by
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5037)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e23 & op2(e24, e20) = e23)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (349), (1892), (3621), (5037) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #535.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5038)  all_25_19 = e12 & op1(e11, e10) = e12
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5038) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5039)  all_25_19 = e12
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (42), (43), (44),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (485), (488), (510), (707), (726), (728),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (843), (847), (865), (1960), (1961), (5039)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #454.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5040)  all_25_22 = e14 & op1(e10, e12) = e14
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5040) implies:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5041)  all_25_22 = e14
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5042)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14)
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1876), (1986), (5042) are
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #237.
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5043)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e14 & op1(e11, e11) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5043) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5044)  all_25_14 = e14 & op1(e11, e12) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5044) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5045)  all_25_14 = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5046)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (5046) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5047)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5047) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5048)  all_25_8 = e12 & op1(e12, e12) = e12
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1887), (5048) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5049)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5049) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5050)  all_25_14 = e12 & op1(e11, e12) = e12
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (5045), (5050) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5051)  all_25_22 = e12 & op1(e10, e12) = e12
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (5041), (5051) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5052)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (728), (746), (2006), (5052) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1090.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5053)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e11 & op1(e14, e10) = e11)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5053) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5054)  all_25_9 = e11 & op1(e14, e11) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1861), (1876), (1882), (5054) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #920.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5055)  all_25_16 = e11 & op1(e14, e10) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5055) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5056)  op1(e14, e10) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (728), (2011), (5056) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #917.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5057)  all_25_17 = e14 & op1(e13, e10) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (33), (42), (43), (44), (60),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (847), (5057) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1136.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5058)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e14 & op1(e11, e10) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5058) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5059)  all_25_18 = e14 & op1(e12, e10) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (1960), (5059) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5060)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5061)  all_25_19 = e14 & op1(e11, e10) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5061) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5062)  all_25_19 = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (2006), (5062) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1097.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5063)  all_25_24 = e14 & op1(e10, e10) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (865), (5063) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5064)  all_25_24 = e11 & op1(e10, e10) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (865), (5064) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1201.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5065)  all_25_21 = e10 & op1(e10, e13) = e10
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (5065) are inconsistent by sub-proof #1256.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5066)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5066) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5067)  all_25_8 = e14 & op1(e12, e12) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5067) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5068)  all_25_8 = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1887), (5068) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5069)  e14 = e13
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1974), (5069) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5070)  all_25_20 = e13
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (522), (707),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (830), (843),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1858), (1865), (1876),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1964), (5070) are inconsistent by sub-proof #236.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5071)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5071) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5072)  all_25_11 = e14 & op1(e12, e11) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (5072) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5073)  all_25_18 = e14 & op1(e12, e10) = e14
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (1960), (5073) are inconsistent by sub-proof
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5074)  all_25_7 = e11 & op1(e12, e13) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5074) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5075)  all_25_7 = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (10), (28), (29), (30), (31),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (43), (44), (60), (204), (205), (208),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (214), (223), (225), (483), (484),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (492), (503), (508), (509), (510),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (518), (707), (715), (719),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (744), (748), (755), (790),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (847), (863), (865), (870),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1858), (1865),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1876), (1887), (5075) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #933.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5076)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5076) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5077)  all_25_8 = e11 & op1(e12, e12) = e11
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (883),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1876), (1882), (1887), (5077) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5078)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (726), (1948), (1961), (5078) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #487.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5079)  all_25_18 = e10 & op1(e12, e10) = e10
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5079) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5080)  all_25_18 = e10
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (28), (29), (30), (31), (32),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (223), (225),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (508), (509), (510), (511), (707),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (715), (719), (726), (728), (739), (818), (843),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (865), (870), (5080) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #923.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5081)  all_20_5 = e21 | all_20_5 = e20
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (629), (630), (5081) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #959.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5082)  all_24_3 = e22 & op2(e23, e23) = e22
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (635), (5082) are inconsistent by
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1331.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5083)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (347), (464), (584), (629), (630),
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (631), (752), (1891), (1902), (5083) are
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #384.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5084)  all_20_9 = e24 | all_20_9 = e22 | all_20_9 = e21 |
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_20_9 = e20
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5084) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5085)  all_20_9 = e24
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (5085) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5086)  all_16_21 = e24
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (5086) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5087)  $false
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5087) is inconsistent.
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5088)   ~ (all_20_9 = e24)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5089)  all_20_9 = e22 | all_20_9 = e21 | all_20_9 = e20
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5090)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5090) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5091)  all_24_2 = e23 & op2(e23, e24) = e23
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5091) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5092)  all_24_2 = e23
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5093)  all_20_9 = e22
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (5093) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5094)  all_16_21 = e22
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (5094) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5095)   ~ (all_16_1 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (5094) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5096)   ~ (all_16_22 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5096) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5097)   ~ (all_16_22 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (233), (5094) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5098)   ~ (all_16_23 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5098) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5099)   ~ (all_16_23 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (5094) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5100)   ~ (all_8_2 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5100) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5101)   ~ (all_8_2 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (5094) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5102)   ~ (e24 = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5103)  all_20_5 = e23
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (5103) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5104)  all_16_1 = e23
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5105)   ~ (all_16_2 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5105) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5106)   ~ (all_16_2 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5107)   ~ (all_16_3 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5107) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5108)   ~ (all_16_3 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (317), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5109)   ~ (all_16_4 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5109) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5110)   ~ (all_16_4 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5111)   ~ (all_12_2 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5111) implies:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5112)   ~ (all_12_2 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5113)   ~ (e24 = e23)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (5104) imply:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5114)  op2(e23, e24) = e23
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5115)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (48), (61), (635), (5114), (5115) are
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #964.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5116)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5116) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5117)  all_24_5 = e22 & op2(e23, e22) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (5117) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5118)  (all_24_10 = e22 & op2(e23, e21) = e22) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5119)  all_24_10 = e22 & op2(e23, e21) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5119) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5120)  op2(e23, e21) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (46), (61), (752), (5120) are inconsistent
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5121)  all_24_17 = e22 & op2(e23, e20) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5121) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5122)  all_24_17 = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5123)  op2(e23, e20) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5124)  all_20_2 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (5124) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5125)  all_16_10 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (5125) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5126)   ~ (all_16_15 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5126) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5127)   ~ (all_16_15 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5128)  all_20_21 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (5128) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5129)  all_16_9 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5129) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5130)  all_16_9 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (5130) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5131)   ~ (all_16_7 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (5130) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5132)   ~ (all_16_8 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (5130) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5133)   ~ (all_16_14 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5133) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5134)   ~ (all_16_14 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (5130) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5135)   ~ (all_8_2 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5135) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5136)   ~ (all_8_2 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (437) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5137)  (all_24_20 = e23 & op2(e20, e24) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5137) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5138)  all_24_20 = e23 & op2(e20, e24) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (5110), (5138) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #716.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5139)  all_24_21 = e23 & op2(e20, e23) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5140)  all_24_21 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5141)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (349), (752), (5127), (5141) are
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #564.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5142)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5142) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5143)  all_24_11 = e23 & op2(e22, e21) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5143) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5144)  all_24_11 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5145)  op2(e22, e21) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e23, e21, e22,
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (5145) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5146)  all_16_17 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (242), (5146) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5147)   ~ (all_16_22 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5147) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5148)   ~ (all_16_22 = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5149)  (all_24_16 = e23 & op2(e24, e20) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5149) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5150)  all_24_16 = e23 & op2(e24, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5150) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5151)  all_24_16 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5152)  op2(e24, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (21), (23),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (279), (280), (283), (284),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (331), (336), (338), (341), (350), (435),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (442), (462), (463), (464), (465), (466), (467),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (637), (639), (641), (643), (649),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (651), (653), (654), (656), (669), (671), (752),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (821), (822), (1839), (1840),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5092), (5097), (5122), (5123), (5131), (5132),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5148), (5151), (5152) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #212.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5153)  all_24_17 = e23 & op2(e23, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5153) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5154)  all_24_17 = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (46), (47), (48), (61), (347), (428),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (584), (629), (630), (631), (635), (752),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5095), (5154) are inconsistent by sub-proof #210.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5155)  (all_24_18 = e23 & op2(e22, e20) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5155) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5156)  all_24_18 = e23 & op2(e22, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (280), (284), (336), (338), (341), (350), (462),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (635),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (649), (651), (654), (656),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (803), (807), (821), (822),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (5092), (5122), (5131), (5132), (5140),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5156) are inconsistent by sub-proof #206.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5157)  (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5157) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5158)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5158) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5159)  op2(e21, e20) = e23
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5160)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5160) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5161)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5161) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5162)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5162) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5163)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5163) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5164)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5164) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5165)  all_24_7 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5166)  op2(e22, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (36), (37), (38),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (280), (284),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (338), (341), (350), (462), (463), (464),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (467), (468), (635), (637), (639), (643),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (656), (671), (752), (798), (803),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (821), (822), (1840), (5131), (5132),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5165), (5166) are inconsistent by sub-proof #217.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5167)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5167) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5168)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5168) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5169)  all_24_13 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5170)  op2(e21, e23) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5171)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5171) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5172)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (5172) are inconsistent by sub-proof
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5173)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (5173) are inconsistent by sub-proof
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5174)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5174) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5175)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5175) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5176)  all_24_7 = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5177)  op2(e22, e23) = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e20, e23, e21,
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (5170) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5178)  all_16_8 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e24, e23, e22,
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (5177) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5179)  all_16_7 = e24
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5132), (5178) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5180)   ~ (e23 = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (5178) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5181)   ~ (e22 = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (5178) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5182)   ~ (e21 = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5183)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5183) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5184)  all_24_6 = e20 & op2(e22, e24) = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5184) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5185)  all_24_6 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5186)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5186) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5187)  all_24_6 = e22 & op2(e22, e24) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5187) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5188)  all_24_6 = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5185), (5188) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5189)  e22 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5189) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5190)  e22 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5190) imply:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5191)  all_24_17 = e20
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5191) are inconsistent by sub-proof #221.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5192)  all_24_7 = e22 & op2(e22, e23) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5192) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5193)  all_24_7 = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (468), (656), (671), (803), (807),
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5140), (5169), (5193) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #813.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5194)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5194) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5195)  all_24_8 = e22 & op2(e22, e22) = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5195) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5196)  all_24_8 = e22
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5197)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5197) gives:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5198)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5198) implies:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5199)  all_24_6 = e21
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5185), (5199) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #793.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5200)  all_24_7 = e21 & op2(e22, e23) = e21
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (5176), (5200) are inconsistent by
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5201)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5201) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5202)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5203)  all_24_8 = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5122), (5196), (5203) are
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #203.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5204)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (36), (37), (38), (39),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (350), (464), (465),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (643), (656), (752), (822), (5092), (5122),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5144), (5204) are inconsistent by sub-proof #201.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5205)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (350), (462),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (643), (654), (656),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (821), (822), (1840), (5122),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5144), (5205) are inconsistent by sub-proof #200.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5206)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5206) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5207)  all_24_7 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5208)  op2(e22, e23) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (36), (37), (38),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (280), (284),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (336), (338), (341), (350), (462), (463), (464),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (467), (468), (635), (637), (639), (643),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (651), (656), (671), (752), (798), (803),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (821), (822), (1840), (5131), (5132),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5207), (5208) are inconsistent by sub-proof #217.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5209)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5209) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5210)  all_24_8 = e20 & op2(e22, e22) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5210) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5211)  all_24_8 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5212)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5212) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5213)  all_24_6 = e22 & op2(e22, e24) = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5213) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5214)  all_24_6 = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5215)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5215) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5216)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5217)  all_24_6 = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5214), (5217) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5218)  e22 = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5218) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5219)  all_24_17 = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5219) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5220)  all_24_7 = e21 & op2(e22, e23) = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (5176), (5220) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5221)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5221) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5222)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5211), (5222) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #499.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5223)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (36), (37), (38), (39),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (48), (61), (350), (464), (465),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (643), (656), (752), (822), (5092), (5122),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5144), (5223) are inconsistent by sub-proof #201.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5224)  all_24_7 = e22 & op2(e22, e23) = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5224) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5225)  all_24_7 = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (468), (656), (671), (803), (807),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5140), (5169), (5225) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #813.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5226)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5226) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5227)  all_24_8 = e22 & op2(e22, e22) = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5227) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5228)  all_24_8 = e22
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5211), (5228) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5229)  e22 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5229) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5230)  e22 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5230) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5231)  all_24_17 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5231) are inconsistent by sub-proof #221.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5232)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (350), (462),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (643), (654), (656),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (821), (822), (1840), (5122),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5144), (5232) are inconsistent by sub-proof #200.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5233)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5233) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5234)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5234) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5235)  all_24_11 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5144), (5235) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5236)  e23 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5236) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5237)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5237) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5238)  op2(e22, e20) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_22, e20, e20, e22,
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (338), (5238) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5239)  all_16_22 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5240)  unit2 = e24
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5240) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5241)  op2(e24, e20) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (35), (39), (46), (47), (61),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (350), (643), (752), (822), (5241) are
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #509.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5242)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (39), (46), (61), (330),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (752), (5123), (5159), (5238), (5242) are
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #199.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5243)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (671), (5131), (5132), (5169), (5243) are
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #604.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5244)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5140), (5244) are
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #213.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5245)  all_24_24 = e23 & op2(e20, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (5136), (5245) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #198.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5246)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5246) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5247)  all_24_15 = e23 & op2(e21, e21) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5247) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5248)  op2(e21, e21) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e23, e21, e21,
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (5248) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5249)  all_6_2 = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (5249) imply:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5250)   ~ (all_16_23 = e23)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5251)  (all_24_16 = e23 & op2(e24, e20) = e23) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5251) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5252)  all_24_16 = e23 & op2(e24, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5252) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5253)  all_24_16 = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5254)  op2(e24, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (21), (22),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (38), (39), (46), (47),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (237), (279), (280), (283),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (301), (330), (331), (332), (336), (338),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (348), (350), (421), (435), (442), (462),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (568),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (637), (639), (641), (643), (647), (649),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (651), (653), (654), (656), (669), (671), (752),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (821), (822), (1839), (1840),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5092), (5097), (5122), (5123), (5131), (5253),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5254) are inconsistent by sub-proof #195.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5255)  all_24_17 = e23 & op2(e23, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5255) implies:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5256)  all_24_17 = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (46), (47), (48), (61), (347), (428),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (584), (629), (630), (631), (635), (752),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5095), (5256) are inconsistent by sub-proof #210.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5257)  (all_24_18 = e23 & op2(e22, e20) = e23) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5257) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5258)  all_24_18 = e23 & op2(e22, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (280), (284), (336), (338), (341), (350), (462),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (635),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (637), (639), (643), (649), (651), (654), (656),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (803), (807), (821), (822),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (5092), (5122), (5131), (5132), (5140),
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5258) are inconsistent by sub-proof #206.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5259)  (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5260)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (5250), (5260) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5261)  all_24_24 = e23 & op2(e20, e20) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (5136), (5261) are inconsistent by
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #198.
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5262)  all_24_23 = e23 & op2(e20, e21) = e23
% 238.31/46.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (336), (341), (435),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (462), (463), (464), (465), (467),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (691), (752), (798),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1839), (5092), (5122), (5131), (5132), (5262) are
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #186.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5263)  (all_24_22 = e23 & op2(e20, e22) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5263) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5264)  all_24_22 = e23 & op2(e20, e22) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5264) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5265)  op2(e20, e22) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (5134), (5265) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #718.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5266)  (all_24_23 = e23 & op2(e20, e21) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5266) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5267)  all_24_23 = e23 & op2(e20, e21) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (329), (336), (341), (435),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (436), (438), (462), (463), (464), (465), (467),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (691), (752), (798),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1839), (5092), (5122), (5131), (5132), (5267) are
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #186.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5268)  all_24_24 = e23 & op2(e20, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (5136), (5268) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #198.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5269)   ~ (all_20_21 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (5269) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5270)   ~ (all_16_9 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (19), (21), (22), (35), (39), (46),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (61), (331), (350), (643), (752), (821),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (5270) are inconsistent by sub-proof #185.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5271)   ~ (all_20_2 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (5271) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5272)   ~ (all_16_10 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5273)  all_20_11 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (5273) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5274)  all_16_7 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5274) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5275)  all_16_7 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (5275) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5276)   ~ (all_16_9 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5276) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5277)   ~ (all_16_9 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (19), (21), (22), (35), (39), (46),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (61), (331), (350), (643), (752), (821),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (5277) are inconsistent by sub-proof #185.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5278)   ~ (all_20_11 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5278) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5279)   ~ (all_16_7 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5280)  all_20_3 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (5280) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5281)  all_16_15 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (5281) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5282)   ~ (all_16_17 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5282) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5283)   ~ (all_16_17 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (5281) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5284)   ~ (all_16_19 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5284) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5285)   ~ (all_16_19 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (5281) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5286)   ~ (all_16_20 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5286) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5287)   ~ (all_16_20 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5281) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5288)   ~ (all_6_2 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5288) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5289)   ~ (all_6_2 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5290)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e23) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5290) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5291)  all_24_0 = e23 & op2(e24, e24) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (5112), (5291) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5292)  all_24_1 = e23 & op2(e24, e23) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (61), (5292) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #956.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5293)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e21) = e23) | (all_24_16 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5293) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5294)  all_24_4 = e23 & op2(e24, e22) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (5272), (5294) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5295)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e23 & op2(e24, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5295) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5296)  all_24_9 = e23 & op2(e24, e21) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5296) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5297)  all_24_9 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5298)  all_20_16 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (5298) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5299)  all_16_8 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (5299) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5300)   ~ (all_16_9 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5300) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5301)   ~ (all_16_9 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (5299) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5302)   ~ (all_16_13 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5302) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5303)   ~ (all_16_13 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (5299) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5304)   ~ (all_16_23 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5304) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5305)   ~ (all_16_23 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5306)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5307)  all_24_12 = e23 & op2(e21, e24) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (337), (5108), (5307) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5308)  all_24_13 = e23 & op2(e21, e23) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5308) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5309)  all_24_13 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5310)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e22, e23) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5310) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5311)  all_24_6 = e23 & op2(e22, e24) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (5106), (5311) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #913.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5312)  all_24_7 = e23 & op2(e22, e23) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (5279), (5312) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5313)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e23 & op2(e22, e21) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5313) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5314)  all_24_8 = e23 & op2(e22, e22) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5314) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5315)  op2(e22, e22) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e23, e22, e22,
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (5315) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5316)  all_4_2 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (5316) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5317)   ~ (all_16_22 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (5316) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5318)  op2(e22, e23) = all_4_1
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5319)  (all_24_16 = e23 & op2(e24, e20) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5319) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5320)  all_24_16 = e23 & op2(e24, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (5287), (5320) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #678.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5321)  all_24_17 = e23 & op2(e23, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5322)  all_24_17 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (46), (47), (48), (61), (347), (428),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (584), (629), (630), (631), (635), (752),
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5095), (5322) are inconsistent by sub-proof #210.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5323)  (all_24_18 = e23 & op2(e22, e20) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5323) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5324)  all_24_18 = e23 & op2(e22, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (338), (5317), (5324) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #808.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5325)  (all_24_19 = e23 & op2(e21, e20) = e23) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e23 & op2(e20, e20) = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5326)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (333), (5305), (5326) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5327)  all_24_24 = e23 & op2(e20, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5327) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5328)  op2(e20, e20) = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e23, e20, e20,
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (5328) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5329)  all_8_2 = e23
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, all_4_1, e23,
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (341), (5318) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5330)  all_16_7 = all_4_1
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (5330) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5331)   ~ (all_16_9 = all_4_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5331) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5332)   ~ (all_16_9 = all_4_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (5330) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5333)   ~ (all_16_22 = all_4_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5333) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5334)   ~ (all_16_22 = all_4_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5279), (5330) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5335)   ~ (all_4_1 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (5330) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5336)   ~ (all_4_1 = e22)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (5330) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5337)   ~ (all_4_1 = e21)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (5329) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5338)  op2(e20, e23) = all_8_1
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_9, all_8_1, e23,
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20, simplifying with (331), (5338) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5339)  all_16_9 = all_8_1
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (5339) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5340)   ~ (all_16_4 = all_8_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5332), (5339) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5341)   ~ (all_8_1 = all_4_1)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5301), (5339) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5342)   ~ (all_8_1 = e23)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (5339) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5343)   ~ (all_8_1 = e22)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (5339) imply:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5344)   ~ (all_8_1 = e21)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5345)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5345) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5346)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (5346) are inconsistent by sub-proof
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5347)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (5347) are inconsistent by sub-proof
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5348)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5348) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5349)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5349) implies:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5350)  all_24_7 = e24
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5351)  op2(e22, e23) = e24
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5352)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5352) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5353)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5353) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5354)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5354) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5355)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5355) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5356)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5350), (5356) are inconsistent by
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5357)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5357) gives:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5358)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5309), (5358) are
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5359)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5359) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5360)  op2(e20, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_1, e20, e23, e20,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5338), (5360) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5361)  all_8_1 = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e24, e23, e22,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5318), (5351) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5362)  all_4_1 = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5340), (5361) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5363)   ~ (all_16_4 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5342), (5361) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5364)   ~ (e23 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (22), (35), (39), (46), (47), (61),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (752), (822), (5301), (5363) are
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #482.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5365)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5365) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5366)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5309), (5366) are inconsistent by sub-proof
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #844.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5367)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5367) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5368)  all_24_21 = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5369)  op2(e20, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5370)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5370) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5371)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5371) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5372)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5372) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5373)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5373) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5374)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5374) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5375)  op2(e22, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_1, e24, e23, e20,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5338), (5369) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5376)  all_8_1 = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_1, e20, e23, e22,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5318), (5375) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5377)  all_4_1 = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5334), (5377) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5378)   ~ (all_16_22 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5335), (5377) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5379)   ~ (e23 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5336), (5377) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5380)   ~ (e22 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5337), (5377) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5381)   ~ (e21 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (338), (350),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (635), (643), (654),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (821), (822), (1840),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5378) are inconsistent by sub-proof #218.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5382)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5382) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5383)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5309), (5383) are
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5384)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5368), (5384) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #196.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5385)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5385) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5386)  all_24_11 = e23 & op2(e22, e21) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (5283), (5386) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5387)  all_24_18 = e23 & op2(e22, e20) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5387) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5388)  all_24_18 = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5389)  op2(e22, e20) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_22, e23, e20, e22,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (338), (5389) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5390)  all_16_22 = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (5390) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5391)   ~ (all_8_2 = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5391) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5392)   ~ (all_8_2 = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (5390) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5393)   ~ (all_4_2 = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5393) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5394)   ~ (all_4_2 = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5395)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e22) = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (350), (5272), (5395) are
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5396)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5397)  all_24_8 = e23 & op2(e22, e22) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (5394), (5397) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #669.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5398)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5398) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5399)  all_24_14 = e23 & op2(e21, e22) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (335), (5303), (5399) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #719.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5400)  all_24_22 = e23 & op2(e20, e22) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5401)  all_24_22 = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5402)  op2(e20, e22) = e23
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5403)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5403) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5404)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (5404) are inconsistent by sub-proof
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5405)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (5405) are inconsistent by sub-proof
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5406)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5406) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5407)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5407) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5408)  all_24_7 = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5409)  op2(e22, e23) = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5410)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5410) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5411)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5411) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5412)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5412) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5413)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5413) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5414)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5408), (5414) are inconsistent by
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #847.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5415)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5415) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5416)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5309), (5416) are
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5417)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5417) implies:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5418)  op2(e20, e23) = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_9, e20, e23, e20,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (5418) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5419)  all_16_9 = e20
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e24, e23, e22,
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (5409) gives:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5420)  all_16_7 = e24
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (5419) imply:
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5421)   ~ (all_16_4 = e20)
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.31/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5301), (5419) imply:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5422)   ~ (e23 = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (5419) imply:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5423)   ~ (e22 = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (5419) imply:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5424)   ~ (e21 = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5425)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (61), (350), (462), (463),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (643), (654), (656), (671),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (822), (5425) are inconsistent by
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #220.
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5426)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5426) gives:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5427)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5428)  all_24_18 = e20
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5388), (5428) imply:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5429)  e23 = e20
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5429) are inconsistent by
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5430)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (35), (39), (46), (47), (61),
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (752), (822), (5421), (5430) are
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5431)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5432)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5309), (5432) are inconsistent by sub-proof
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #762.
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5433)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5433) implies:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5434)  all_24_21 = e24
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5435)  op2(e20, e23) = e24
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5436)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5436) gives:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5437)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5437) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5438)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5438) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5439)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5439) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5440)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5440) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5441)  op2(e22, e23) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_9, e24, e23, e20,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (5435) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5442)  all_16_9 = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e20, e23, e22,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (5441) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5443)  all_16_7 = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (5442) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5444)   ~ (all_16_4 = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (5443) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5445)   ~ (all_16_17 = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5445) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5446)   ~ (all_16_17 = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5279), (5443) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5447)   ~ (e23 = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (5443) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5448)   ~ (e22 = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (5443) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5449)   ~ (e21 = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (5442) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5450)   ~ (all_8_2 = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5450) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5451)   ~ (all_8_2 = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5452)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5452) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5453)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5297), (5453) are
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5454)  all_24_10 = e20 & op2(e23, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (5454) are inconsistent
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5455)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5455) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5456)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5456) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5457)  op2(e22, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e20, e21, e22,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (5457) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5458)  all_16_17 = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5446), (5458) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5459)  $false
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5459) is inconsistent.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5460)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5460) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5461)  all_24_15 = e20 & op2(e21, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5461) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5462)  op2(e21, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e20, e21, e21,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (5462) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5463)  all_6_2 = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (350), (462),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (635), (643), (654), (656),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (821), (822), (1840), (5092),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5388) are inconsistent by sub-proof #208.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5464)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5464) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5465)  all_24_23 = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5466)  op2(e20, e21) = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5467)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5467) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5468)  all_24_20 = e22 & op2(e20, e24) = e22
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5468) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5469)  all_24_20 = e22
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5470)  op2(e20, e24) = e22
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5471)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e21 & op2(e20, e23) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5471) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5472)  all_24_20 = e21 & op2(e20, e24) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5122), (5469), (5472) are
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5473)  all_24_21 = e21 & op2(e20, e23) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5473) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5474)  all_24_21 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5434), (5474) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5475)  e24 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (5475) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5476)  $false
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5476) is inconsistent.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5477)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5477) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5478)  all_24_22 = e21 & op2(e20, e22) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5478) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5479)  all_24_22 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5401), (5479) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5480)  e23 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5092), (5480) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5481)  all_24_2 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (5122), (5481)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1299.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5482)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5482) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5483)  all_24_23 = e21 & op2(e20, e21) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5465), (5483) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #590.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5484)  all_24_24 = e21 & op2(e20, e20) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5484) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5485)  all_24_24 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5486)  op2(e20, e20) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_8_2, e21, e20, e20,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (83), (5486) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5487)  all_8_2 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e20, e21, e20,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (5466) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5488)  all_16_19 = e20
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_4, e22, e24, e20,
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (332), (5470) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5489)  all_16_4 = e22
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5110), (5489) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5490)   ~ (e23 = e22)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5392), (5487) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5491)   ~ (e23 = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5101), (5487) imply:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5492)   ~ (e22 = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5493)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5494)  all_24_0 = e21 & op2(e24, e24) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (49), (61), (350), (462), (464),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (635), (643), (654), (656), (662),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (822), (5092), (5122), (5297),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5494) are inconsistent by sub-proof #182.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5495)  all_24_1 = e21 & op2(e24, e23) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (61), (635), (5495) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5496)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5496) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5497)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5497) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5498)  all_24_4 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5499)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (49), (61), (350), (462), (464),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (635), (643), (654), (656), (662),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (807), (822), (5092), (5122),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5297), (5499) are inconsistent by sub-proof #181.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5500)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5500) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5501)  all_24_4 = e24 & op2(e24, e22) = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5501) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5502)  all_24_4 = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (5498), (5502) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #852.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5503)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (349), (350),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (635), (643), (654),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (684), (752), (798), (821), (822),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (5092), (5122), (5388), (5503) are
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5504)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5504) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5505)  all_24_9 = e21 & op2(e24, e21) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (5092), (5122),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5297), (5505) are inconsistent by sub-proof #179.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5506)  all_24_16 = e21 & op2(e24, e20) = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5506) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5507)  all_24_16 = e21
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5508)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5508) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5509)  all_24_16 = e24 & op2(e24, e20) = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5509) implies:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5510)  all_24_16 = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (5507), (5510) are inconsistent by
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #861.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5511)  all_24_17 = e24 & op2(e23, e20) = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (635), (752), (5511) are
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5512)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5512) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5513)  all_24_18 = e24 & op2(e22, e20) = e24
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5388), (5513) are inconsistent by sub-proof
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5514)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5514) gives:
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5515)  all_24_19 = e24 & op2(e21, e20) = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5515) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5516)  all_24_19 = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5517)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5517) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5518)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5518) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5519)  all_24_16 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5507), (5519) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5520)  e21 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (5520) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5521)  $false
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5521) is inconsistent.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5522)  all_24_17 = e20 & op2(e23, e20) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5523)  all_24_17 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5523) are inconsistent by sub-proof #221.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5524)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5524) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5525)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5388), (5525) are
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #209.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5526)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5526) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5527)  all_24_19 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5527) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5528)  e24 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (5528) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5529)  $false
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5529) is inconsistent.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5530)  all_24_24 = e24 & op2(e20, e20) = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (5485), (5530) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #252.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5531)  all_24_21 = e22 & op2(e20, e23) = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5531) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5532)  all_24_21 = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5434), (5532) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5533)  e24 = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (5533) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5534)  $false
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5534) is inconsistent.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5535)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5535) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5536)  all_24_22 = e22 & op2(e20, e22) = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5536) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5537)  op2(e20, e22) = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, e23, e22, e20,
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5402), (5537) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5538)  e23 = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (5538) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5539)  $false
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5539) is inconsistent.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5540)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5540) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5541)  all_24_23 = e22 & op2(e20, e21) = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5541) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5542)  all_24_23 = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5465), (5542) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #177.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5543)  all_24_24 = e22 & op2(e20, e20) = e22
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (5101), (5543) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #338.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5544)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5544) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5545)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5545) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5546)  all_24_13 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5309), (5546) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5547)  e23 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5547) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5548)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5434), (5548) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #196.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5549)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (333), (335), (5289), (5303), (5305),
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5549) are inconsistent by sub-proof #565.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5550)   ~ (all_20_16 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5550) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5551)   ~ (all_16_8 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5552)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (48), (49), (61), (5552) are
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #955.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5553)  (all_24_7 = e23 & op2(e22, e23) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5553) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5554)  all_24_7 = e23 & op2(e22, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (5279), (5554) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5555)  (all_24_13 = e23 & op2(e21, e23) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e23 & op2(e20, e23) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5555) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5556)  all_24_13 = e23 & op2(e21, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (5551), (5556) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #953.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5557)  all_24_21 = e23 & op2(e20, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5557) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5558)  all_24_21 = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5559)  op2(e20, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_9, e23, e23, e20,
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (5559) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5560)  all_16_9 = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5561)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5561) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5562)  all_24_12 = e23 & op2(e21, e24) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (337), (5108), (5562) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5563)  all_24_13 = e23 & op2(e21, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (5551), (5563) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #953.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5564)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5565)  all_24_14 = e23 & op2(e21, e22) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5565) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5566)  all_24_14 = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5567)  op2(e21, e22) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_13, e23, e22, e21,
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (335), (5567) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5568)  all_16_13 = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (5568) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5569)   ~ (all_16_14 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5569) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5570)   ~ (all_16_14 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5568) imply:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5571)   ~ (all_4_2 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5571) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5572)   ~ (all_4_2 = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5573)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e22, e23) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5573) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5574)  all_24_6 = e23 & op2(e22, e24) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (342), (5106), (5574) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #913.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5575)  all_24_7 = e23 & op2(e22, e23) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (341), (5279), (5575) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5576)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e23 & op2(e22, e21) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5576) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5577)  all_24_8 = e23 & op2(e22, e22) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (63), (5572), (5577) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #669.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5578)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5578) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5579)  all_24_11 = e23 & op2(e22, e21) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (5283), (5579) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5580)  all_24_18 = e23 & op2(e22, e20) = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5581)  all_24_18 = e23
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5582)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5582) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5583)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5583) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5584)  all_24_3 = e20 & op2(e23, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (61), (654), (5584) are inconsistent by
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5585)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5585) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5586)  all_24_7 = e20 & op2(e22, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5587)  all_24_7 = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5588)  op2(e22, e23) = e20
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5589)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5589) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5590)  all_24_1 = e24 & op2(e24, e23) = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (807), (5590) are inconsistent by sub-proof
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5591)  all_24_3 = e24 & op2(e23, e23) = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (803), (5591) are inconsistent by sub-proof
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5592)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5592) gives:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5593)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5593) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5594)  all_24_7 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5587), (5594) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #869.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5595)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5595) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5596)  all_24_13 = e24 & op2(e21, e23) = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5596) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5597)  all_24_13 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5598)  op2(e21, e23) = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_8, e24, e23, e21,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (336), (5598) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5599)  all_16_8 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_7, e20, e23, e22,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (341), (5588) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5600)  all_16_7 = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (5600) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5601)   ~ (all_16_2 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (5600) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5602)   ~ (all_16_17 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5602) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5603)   ~ (all_16_17 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5279), (5600) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5604)   ~ (e23 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (5600) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5605)   ~ (e22 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (649), (5600) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5606)   ~ (e21 = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5607)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (47), (61), (350), (643), (5607) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5608)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5608) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5609)  all_24_8 = e22 & op2(e22, e22) = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5609) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5610)  all_24_8 = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5611)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5611) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5612)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5612) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5613)  all_24_6 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5614)  op2(e22, e24) = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5615)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5616)  all_24_6 = e21 & op2(e22, e24) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (336),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (467), (468), (656), (671), (803), (807),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5279), (5551), (5587), (5597), (5613), (5616) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5617)  all_24_7 = e21 & op2(e22, e23) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5617) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5618)  all_24_7 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5587), (5618) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #746.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5619)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5619) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5620)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5620) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5621)  all_24_8 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5610), (5621) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5622)  e22 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5622) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5623)  all_24_17 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5623) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5624)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5625)  all_24_11 = e21 & op2(e22, e21) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5626)  all_24_11 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5627)  op2(e22, e21) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5609) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5628)  op2(e22, e22) = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_17, e21, e21, e22,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (339), (5627) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5629)  all_16_17 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_4_2, e22, e22, e22,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (63), (5628) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5630)  all_4_2 = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_2, e24, e24, e22,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (342), (5614) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5631)  all_16_2 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (243), (5629) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5632)   ~ (all_16_19 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5632) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5633)   ~ (all_16_19 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (5629) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5634)   ~ (all_6_2 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5634) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5635)   ~ (all_6_2 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (5629), (5630) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5636)   ~ (e22 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5283), (5629) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5637)   ~ (e23 = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5572), (5630) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5638)   ~ (e23 = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5639)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (38), (46), (61), (752), (5297), (5639) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5640)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5640) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5641)  all_24_11 = e22 & op2(e22, e21) = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5641) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5642)  all_24_11 = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5122), (5626), (5642) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #174.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5643)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5643) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5644)  all_24_15 = e22 & op2(e21, e21) = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5644) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5645)  all_24_15 = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5646)  op2(e21, e21) = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5647)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5647) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5648)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5297), (5648) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5649)  all_24_10 = e20 & op2(e23, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (5649) are inconsistent
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5650)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5650) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5651)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5626), (5651) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #556.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5652)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5652) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5653)  all_24_15 = e20 & op2(e21, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5645), (5653) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #173.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5654)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5654) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5655)  op2(e20, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_19, e20, e21, e20,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (5655) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5656)  all_16_19 = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_6_2, e22, e21, e21,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (5646) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5657)  all_6_2 = e22
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (5657) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5658)  op2(e21, e22) = all_6_1
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e23, all_6_1, e22, e21,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5567), (5658) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5659)  all_6_1 = e23
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (5659) imply:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5660)  op2(e23, e21) = all_6_0
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_6_0, e21, e23,
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (5660) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5661)  all_6_0 = e24
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5662)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5662) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5663)  all_24_12 = e21 & op2(e21, e24) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5663) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5664)  all_24_12 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5665)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5665) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5666)  all_24_12 = e20 & op2(e21, e24) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5666) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5667)  all_24_12 = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5664), (5667) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #703.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5668)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5597), (5668) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #867.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5669)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5669) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5670)  all_24_14 = e20 & op2(e21, e22) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5566), (5670) are
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #172.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5671)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5671) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5672)  all_24_15 = e20 & op2(e21, e21) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5645), (5672) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #173.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5673)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (35), (39), (46),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (61), (350), (643), (752), (821), (822),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5673) are inconsistent by sub-proof #219.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5674)  all_24_13 = e21 & op2(e21, e23) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5674) implies:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5675)  all_24_13 = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (336),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (467), (468), (656), (671), (803), (807),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5279), (5551), (5587), (5675) are inconsistent by
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5676)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5676) gives:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5677)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (5092), (5122),
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5566), (5677) are inconsistent by sub-proof #171.
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5678)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5678) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5679)  all_24_15 = e21 & op2(e21, e21) = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5679) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5680)  all_24_15 = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5681)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (38), (46), (61), (752), (5297), (5681) are
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5640) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5682)  all_24_11 = e22 & op2(e22, e21) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5682) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5683)  all_24_11 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5626), (5683) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5684)  e22 = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5684) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5685)  all_24_17 = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5685) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5643) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5645), (5680) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5686)  e22 = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5686) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5687)  all_24_17 = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5687) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5688)  all_24_23 = e22 & op2(e20, e21) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5688) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5689)  all_24_23 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (448), (462), (463), (464), (465), (635),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (654), (656), (671), (752), (798), (5092), (5122),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5297), (5626), (5680), (5689) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #170.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5690)  all_24_19 = e21 & op2(e21, e20) = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (61), (350), (462), (463),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (643), (654), (656), (671),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (822), (1840), (5092), (5122),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5581), (5690) are inconsistent by sub-proof #169.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5691)  all_24_23 = e22 & op2(e20, e21) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5691) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5692)  all_24_23 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5693)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e20 & op2(e23, e21) = e20)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5693) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5694)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5297), (5694) are
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5695)  all_24_10 = e20 & op2(e23, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (5695) are inconsistent
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #591.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5696)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5696) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5697)  all_24_11 = e20 & op2(e22, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (5626), (5697) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #556.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5698)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5698) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5699)  all_24_15 = e20 & op2(e21, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5699) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5700)  all_24_15 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5701)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5701) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5702)  all_24_12 = e22 & op2(e21, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5702) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5703)  all_24_12 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (336), (341), (350), (443), (444), (448),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (449), (454), (462), (463), (464), (465), (466),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (470), (471), (635), (643), (654),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (662), (669), (671), (752), (798), (803),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (821), (822), (1839), (1840), (5092),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5279), (5297), (5551), (5558), (5566),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5581), (5587), (5597), (5610), (5613), (5626),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5692), (5703) are inconsistent by sub-proof #166.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5704)  all_24_13 = e22 & op2(e21, e23) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (336), (639), (5704) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #700.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5705)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5706)  all_24_14 = e22 & op2(e21, e22) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (5566), (5706) are inconsistent by sub-proof
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5707)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5708)  all_24_15 = e22 & op2(e21, e21) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5708) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5709)  all_24_15 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5700), (5709) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5710)  e22 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5710) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5711)  e22 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5711) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5712)  all_24_17 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5712) are inconsistent by sub-proof #221.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5713)  all_24_19 = e22 & op2(e21, e20) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5714)  op2(e21, e20) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5715)  (all_24_0 = e22 & op2(e24, e24) = e22) | (all_24_2
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e24) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5715) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5716)  all_24_0 = e22 & op2(e24, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (622), (5716) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1297.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5717)  all_24_2 = e22 & op2(e23, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5717) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5718)  all_24_2 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5719)  op2(e23, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (35), (36), (37), (38),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (61), (462), (464), (465),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (752), (822), (1840),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5714), (5718), (5719) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #277.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5720)  (all_24_6 = e22 & op2(e22, e24) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e22 & op2(e20, e24) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5721)  all_24_6 = e22 & op2(e22, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (5613), (5721) are inconsistent by sub-proof
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5722)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e22 & op2(e20, e24) = e22)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5722) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5723)  all_24_12 = e22 & op2(e21, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5723) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5724)  all_24_12 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (336), (341), (350), (443), (444), (448),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (449), (454), (462), (463), (464), (465), (466),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (468), (470), (471), (635), (643), (654),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (662), (669), (671), (752), (798), (803),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (807), (821), (822), (1839), (1840), (5092),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5279), (5297), (5551), (5558), (5566),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5581), (5587), (5597), (5610), (5613), (5626),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5692), (5724) are inconsistent by sub-proof #166.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5725)  all_24_20 = e22 & op2(e20, e24) = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5725) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5726)  all_24_20 = e22
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5727)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5727) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5728)  all_24_20 = e20 & op2(e20, e24) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5729)  all_24_20 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5726), (5729) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #194.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5730)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5730) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5731)  all_24_21 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5558), (5731) imply:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5732)  e23 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5732) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5733)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e20 & op2(e20, e21) = e20)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5733) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5734)  all_24_22 = e20 & op2(e20, e22) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5734) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5735)  op2(e20, e22) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (330), (669), (5735) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5736)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5736) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5737)  all_24_23 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5692), (5737) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #177.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5738)  all_24_23 = e20 & op2(e20, e21) = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5738) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5739)  all_24_23 = e20
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (798),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5122), (5692), (5739) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #177.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5740)  all_24_18 = e21 & op2(e22, e20) = e21
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (35), (39), (46), (47), (61),
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (350), (635), (643), (752), (822), (5740) are
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5741)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5741) implies:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5742)  all_24_7 = e24
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5587), (5742) are inconsistent by
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #869.
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5743)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5743) gives:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5744)  all_24_8 = e24 & op2(e22, e22) = e24
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5744) implies:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5745)  all_24_8 = e24
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (5610), (5745) are inconsistent by sub-proof
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #692.
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5746)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5746) gives:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5747)  all_24_11 = e24 & op2(e22, e21) = e24
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (687), (5747) are inconsistent by
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5748)  all_24_18 = e24 & op2(e22, e20) = e24
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5581), (5748) are inconsistent by sub-proof
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.65/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5749)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5749) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5750)  all_24_14 = e22 & op2(e21, e22) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (5566), (5750) are inconsistent by sub-proof
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5751)  all_24_22 = e22 & op2(e20, e22) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5751) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5752)  all_24_22 = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5753)  op2(e20, e22) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_14, e22, e22, e20,
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (330), (5753) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5754)  all_16_14 = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (5754) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5755)   ~ (all_16_4 = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5570), (5754) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5756)   ~ (e23 = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5757)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5757) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5758)  all_24_4 = e21 & op2(e24, e22) = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5758) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5759)  all_24_4 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5760)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (49), (61), (350), (462), (464),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (470), (635), (643), (654), (656), (662),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (807), (822), (5092), (5122),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5297), (5760) are inconsistent by sub-proof #181.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5761)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5762)  all_24_4 = e24 & op2(e24, e22) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5762) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5763)  all_24_4 = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (336),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (467), (468), (656), (671), (803), (807),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5279), (5551), (5587), (5597), (5759), (5763) are
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #500.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5764)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (61), (349), (350),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (635), (643), (654),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (684), (752), (798), (821), (822),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (5092), (5122), (5581), (5764) are
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5765)  all_24_5 = e21 & op2(e23, e22) = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (5765) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5766)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5766) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5767)  all_24_8 = e21 & op2(e22, e22) = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5767) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5768)  all_24_8 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5769)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5770)  all_24_6 = e24 & op2(e22, e24) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5770) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5771)  all_24_6 = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5772)  (all_24_0 = e22 & op2(e24, e24) = e22) | (all_24_2
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e24) = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5772) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5773)  all_24_0 = e22 & op2(e24, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (622), (5773) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1297.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5774)  all_24_2 = e22 & op2(e23, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5774) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5775)  op2(e23, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (39), (46), (47), (48), (61),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (752), (5122), (5775) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5776)  (all_24_6 = e22 & op2(e22, e24) = e22) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e22 & op2(e20, e24) = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5776) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5777)  all_24_6 = e22 & op2(e22, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (5771), (5777) are inconsistent by sub-proof
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5778)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e22 & op2(e20, e24) = e22)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5778) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5779)  all_24_12 = e22 & op2(e21, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5779) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5780)  all_24_12 = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (34), (35), (36),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (46), (47), (48), (49), (61),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (336), (341), (350), (443), (449), (454),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (463), (464), (465), (466), (467), (468),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (470), (471), (635), (643), (654), (656), (662),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (671), (752), (798), (803), (807), (821),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1839), (5092), (5122), (5279), (5297),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5551), (5558), (5566), (5581), (5587), (5597),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5768), (5771), (5780) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5781)  all_24_20 = e22 & op2(e20, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5781) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5782)  op2(e20, e24) = e22
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (5755), (5782) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #777.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5783)  all_24_7 = e24 & op2(e22, e23) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5783) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5784)  all_24_7 = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (5587), (5784) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #869.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5785)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5785) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5786)  all_24_8 = e24 & op2(e22, e22) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5786) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5787)  all_24_8 = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5768), (5787) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5788)  e24 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5788) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5789)  e24 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5597), (5789) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5790)  all_24_13 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (38), (39), (48), (49), (61), (336),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (467), (468), (656), (671), (803), (807),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5279), (5551), (5587), (5790) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5791)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5791) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5792)  all_24_11 = e24 & op2(e22, e21) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (339), (687), (5792) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5793)  all_24_18 = e24 & op2(e22, e20) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5581), (5793) are inconsistent by sub-proof
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5794)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5794) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5795)  all_24_14 = e21 & op2(e21, e22) = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (464), (465), (656), (752), (5092), (5122),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5566), (5795) are inconsistent by sub-proof #171.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5796)  all_24_22 = e21 & op2(e20, e22) = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5796) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5797)  all_24_22 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5752), (5797) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5798)  e22 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5798) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5799)  e22 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5799) imply:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5800)  all_24_17 = e21
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (671), (752), (798), (5800) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5801)  all_24_21 = e24 & op2(e20, e23) = e24
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (39), (48), (49), (61), (336), (341),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (467), (5279), (5551), (5801) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5802)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5802) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5803)  all_24_13 = e20 & op2(e21, e23) = e20
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5804)  all_24_13 = e20
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5805)  op2(e21, e23) = e20
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (36), (37), (38),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (48), (49), (61), (284), (336),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (350), (462), (463), (464), (465), (467),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (635), (637), (639), (643), (649), (651),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (656), (671), (752), (798), (803), (807), (821),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (822), (1840), (5092), (5122), (5279), (5551),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5581), (5804), (5805) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #207.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5806)  all_24_21 = e20 & op2(e20, e23) = e20
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5558), (5806) are
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #213.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5807)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5807) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5808)  all_24_15 = e23 & op2(e21, e21) = e23
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (5289), (5808) are inconsistent by
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #680.
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5809)  all_24_19 = e23 & op2(e21, e20) = e23
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5809) implies:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5810)  op2(e21, e20) = e23
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_23, e23, e20, e21,
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (333), (5810) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5811)  all_16_23 = e23
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5812)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5812) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5813)  all_24_0 = e20 & op2(e24, e24) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5813) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5814)  op2(e24, e24) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_12_2, e20, e24, e24,
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (5814) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5815)  all_12_2 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (5815) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5816)   ~ (all_16_4 = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5815) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5817)   ~ (e23 = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (622), (5815) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5818)   ~ (e22 = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5819)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (34), (35), (36), (37), (38),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (46), (47), (61), (350), (462), (463),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (464), (465), (635), (643), (654), (656), (671),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (798), (822), (5819) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #220.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5820)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5820) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5821)  all_24_18 = e20 & op2(e22, e20) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5821) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5822)  op2(e22, e20) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5823)  unit2 = e24
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (5823) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5824)  op2(e20, e24) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (332), (5816), (5824) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5825)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (39), (46), (61), (330),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669), (752), (5123), (5810), (5822), (5825) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #199.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5826)  all_24_19 = e20 & op2(e21, e20) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (35), (39), (46), (47), (61),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (752), (822), (5816), (5826) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5827)  all_24_1 = e20 & op2(e24, e23) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (61), (5827) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5828)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5829)  all_24_4 = e20 & op2(e24, e22) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (662), (5829) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5830)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e20 & op2(e24, e20) = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5830) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5831)  all_24_9 = e20 & op2(e24, e21) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (752), (5092), (5122), (5297), (5831) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5832)  all_24_16 = e20 & op2(e24, e20) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5832) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5833)  op2(e24, e20) = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_20, e20, e20, e24,
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (348), (5833) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5834)  all_16_20 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5834) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5835)   ~ (e23 = e20)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (35), (39), (46), (47), (61),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (350), (643), (752), (822), (5833) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #509.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5836)  all_24_16 = e23 & op2(e24, e20) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (5287), (5836) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #678.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5837)   ~ (all_20_3 = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (5837) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5838)   ~ (all_16_15 = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5839)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e23) = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5839) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5840)  all_24_0 = e23 & op2(e24, e24) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (103), (5112), (5840) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5841)  all_24_1 = e23 & op2(e24, e23) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (61), (5841) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #956.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5842)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e23 & op2(e24, e21) = e23) | (all_24_16 = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5842) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5843)  all_24_4 = e23 & op2(e24, e22) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (5272), (5843) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5844)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e23 & op2(e24, e20) = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5845)  all_24_9 = e23 & op2(e24, e21) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5845) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5846)  op2(e24, e21) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (349), (5838), (5846) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #612.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5847)  all_24_16 = e23 & op2(e24, e20) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5847) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5848)  all_24_16 = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5849)  op2(e24, e20) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (17), (18), (19), (21), (22),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (34), (35), (36), (38), (39), (46), (47),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (61), (237), (279), (280), (283),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (301), (330), (331), (332), (336), (338),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (348), (350), (421), (435), (442), (462),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (464), (465), (466), (467), (468), (568),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (635), (637), (639), (641), (643), (647), (649),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (651), (653), (654), (656), (669), (671), (752),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (798), (803), (807), (821), (822), (1839), (1840),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5092), (5097), (5122), (5123), (5279), (5848),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5849) are inconsistent by sub-proof #195.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5850)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_20_5 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (629), (630), (631), (5095), (5850) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #211.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5851)  all_20_9 = e21 | all_20_9 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (658), (673), (5851) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #481.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5852)  all_24_3 = e23 & op2(e23, e23) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5852) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5853)  op2(e23, e23) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (48), (61), (5853) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5854)  (all_24_5 = e23 & op2(e23, e22) = e23) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5854) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5855)  all_24_5 = e23 & op2(e23, e22) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5855) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5856)  op2(e23, e22) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (61), (5856) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5857)  (all_24_10 = e23 & op2(e23, e21) = e23) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5857) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5858)  all_24_10 = e23 & op2(e23, e21) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5859)  op2(e23, e21) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (61), (752), (5859) are inconsistent
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #957.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5860)  all_24_17 = e23 & op2(e23, e20) = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5860) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5861)  all_24_17 = e23
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5862)  all_20_9 = e22
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (5862) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5863)  all_16_21 = e22
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (5863) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5864)   ~ (all_16_1 = e22)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (5863) imply:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5865)   ~ (e24 = e22)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (46), (47), (48), (61), (347), (428),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (584), (629), (630), (631), (635), (752),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5861), (5864) are inconsistent by sub-proof #210.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5866)  all_20_9 = e21 | all_20_9 = e20
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (658), (673), (5866) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #481.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5867)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (210), (880), (1876), (5867) are
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1243.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5868)  all_25_20 = e13 & op1(e10, e14) = e13
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5868) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5869)  all_25_20 = e13
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5870)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5871)  all_25_0 = e11 & op1(e14, e14) = e11
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (1865), (5871) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1222.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5872)  all_25_2 = e11 & op1(e13, e14) = e11
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (5872) are inconsistent by sub-proof
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5873)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5873) gives:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5874)  all_25_6 = e11 & op1(e12, e14) = e11
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5874) implies:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5875)  all_25_6 = e11
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (522), (707),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (830), (843),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (883), (975), (1858), (1865), (1876),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5869), (5875) are inconsistent by sub-proof #236.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5876)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (10), (28), (29), (30), (31), (32),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (43), (44), (60), (204), (205), (208),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (483), (484), (492), (508), (509),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (748), (755), (790), (818), (830), (843),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (865), (870), (880), (882), (883),
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (975), (1858), (1876), (5876) are inconsistent by
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5877)   ~ (all_18_15 = e13)
% 238.82/46.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (5877) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5878)   ~ (all_14_3 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (60), (120),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (134), (184), (186), (204), (205), (206), (208),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (212), (214), (216), (217),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (481), (482), (483), (484),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (485), (486), (488), (489), (490), (491), (492),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (495), (496), (499), (500), (501), (504),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (505), (507), (508), (509), (510), (511), (512),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (516), (518), (519), (520), (522), (523),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (713), (715), (717), (719),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (723), (726), (728), (735), (739), (742),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (744), (746), (748), (755), (759), (790), (818),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (830), (843), (847), (856), (863), (865), (870),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (882), (883), (975), (1858), (1861), (1865),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5878) are inconsistent by sub-proof #445.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5879)  all_25_1 = e10 & op1(e14, e13) = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (5879) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5880)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (510), (511), (728), (731), (739),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (843), (847), (871), (1861), (5880) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #971.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5881)  all_25_10 = e13 & op1(e13, e11) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5881) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5882)  op1(e13, e11) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (5882) are inconsistent by
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1333.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5883)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (209), (214), (882), (1856), (1858),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5883) are inconsistent by sub-proof #969.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5884)   ~ (all_18_3 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (5884) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5885)   ~ (all_14_15 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (10), (28), (29), (30),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (45), (60),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (119), (120), (121), (126), (127), (128),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (134), (146), (154), (161), (199),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (204), (205), (206), (207), (208), (209),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (212), (213), (214), (216), (217),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (227), (381), (432), (481),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (482), (483), (484), (485), (486), (488), (489),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (492), (493), (495), (496), (497),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (499), (500), (501), (503), (504), (505), (506),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (507), (508), (509), (510), (511), (512), (515),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (516), (517), (518), (519), (521), (523), (535),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (713), (715), (717), (719),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (723), (726), (728), (731), (735), (739),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (744), (746), (748), (755), (759), (790),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (826), (830), (843), (844), (847), (854),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (865), (868), (871), (872), (873), (878),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (880), (882), (883), (975), (1851), (5885) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #385.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5886)   ~ (all_18_21 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5887)  all_18_21 = e14 | all_18_21 = e12 | all_18_21 =
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 | all_18_21 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (5886) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5888)   ~ (all_14_9 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5887) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5889)  all_18_21 = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5889) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5890)  all_14_9 = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5890) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5891)  all_14_9 = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (5891) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5892)  op1(e10, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (29), (31), (33), (43), (60),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (818), (863), (870), (5892) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #164.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5893)  all_18_21 = e12 | all_18_21 = e11 | all_18_21 =
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5893) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5894)  all_18_21 = e12
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5894) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5895)  all_14_9 = e12
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5895) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5896)  all_14_9 = e12
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (5896) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5897)  $false
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5897) is inconsistent.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5898)  all_18_21 = e11 | all_18_21 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5898) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5899)  all_18_21 = e11
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5899) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5900)  all_14_9 = e11
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5900) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5901)  all_14_9 = e11
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (5901) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5902)  $false
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5902) is inconsistent.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5903)  all_18_21 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5903) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5904)  all_14_9 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5904) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5905)  all_14_9 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (5905) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5906)  $false
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5906) is inconsistent.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5907)  ((all_25_16 = e10 & op1(e14, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_17 = e10 & op1(e13, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_18 = e10 & op1(e12, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_19 = e10 & op1(e11, e10) = e10)) &
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_25_20 = e10 & op1(e10, e14) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_21 = e10 & op1(e10, e13) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_22 = e10 & op1(e10, e12) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_25_23 = e10 & op1(e10, e11) = e10))
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5907) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5908)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e10 & op1(e10, e12) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5909)  (all_25_16 = e10 & op1(e14, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e10 & op1(e13, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5910)  all_18_16 = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (5910) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5911)  all_14_8 = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (5911) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5912)   ~ (all_14_9 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5912) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5913)   ~ (all_14_9 = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5914)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e13) = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5914) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5915)  all_25_1 = e13 & op1(e14, e13) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (5915) are inconsistent by sub-proof
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5916)  all_25_3 = e13 & op1(e13, e13) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (5916) are inconsistent by
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5917)  (all_25_7 = e13 & op1(e12, e13) = e13) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e13 & op1(e11, e13) = e13) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e13 & op1(e10, e13) = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5917) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5918)  all_25_7 = e13 & op1(e12, e13) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5918) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5919)  all_25_7 = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (28), (29), (30), (31), (32), (33),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (151), (204), (206),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (509), (510), (511), (512), (515), (707),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (755), (790), (818), (843),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5913), (5919) are inconsistent by
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #160.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5920)  (all_25_13 = e13 & op1(e11, e13) = e13) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e13 & op1(e10, e13) = e13)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5920) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5921)  all_25_13 = e13 & op1(e11, e13) = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5921) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5922)  all_25_13 = e13
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5923)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (5923) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5924)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5924) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5925)  all_25_7 = e10 & op1(e12, e13) = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5925) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5926)  all_25_7 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5927)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5927) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5928)  all_25_1 = e14 & op1(e14, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (5928) are inconsistent by sub-proof
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5929)  all_25_3 = e14 & op1(e13, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (5929) are inconsistent by sub-proof
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5930)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5930) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5931)  all_25_7 = e14 & op1(e12, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (5926), (5931) are inconsistent by
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #159.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5932)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5932) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5933)  all_25_13 = e14 & op1(e11, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (5922), (5933) are inconsistent by sub-proof
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1271.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5934)  all_25_21 = e14 & op1(e10, e13) = e14
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (29), (31), (33), (42), (43), (60),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (5934) are inconsistent by sub-proof
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #161.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5935)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5936)  all_25_13 = e10 & op1(e11, e13) = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5937)  all_25_13 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5922), (5937) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5938)  e13 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (5938) imply:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5939)  all_25_17 = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (847), (5939)
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1277.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5940)  all_25_21 = e10 & op1(e10, e13) = e10
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (31), (43), (60), (151), (204),
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (818), (863), (5913), (5940) are
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #162.
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5941)  all_25_21 = e13 & op1(e10, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5941) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5942)  op1(e10, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (206), (5913), (5942) are inconsistent by
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #163.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5943)   ~ (all_18_16 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5944)  all_18_16 = e14 | all_18_16 = e12 | all_18_16 =
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 | all_18_16 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (5943) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5945)   ~ (all_14_8 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5946)  all_18_3 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (5946) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5947)  all_14_15 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5947) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5948)  all_14_15 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5948) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5949)   ~ (all_14_10 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (5948) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5950)   ~ (all_14_17 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5950) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5951)   ~ (all_14_17 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5948) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5952)   ~ (all_14_18 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5952) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5953)   ~ (all_14_18 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5948) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5954)   ~ (all_14_19 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5954) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5955)   ~ (all_14_19 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5948) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5956)   ~ (all_14_20 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5957)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e13) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5957) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5958)  all_25_0 = e13 & op1(e14, e14) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5958) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5959)  all_25_0 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5960)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (224), (225), (508), (509), (510),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (517), (519), (523), (707), (726), (728),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (742), (755), (790), (843), (847),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5959), (5960) are inconsistent by sub-proof #156.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5961)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (209), (214), (5951), (5953), (5955),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5961) are inconsistent by sub-proof #969.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5962)  all_25_1 = e13 & op1(e14, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (5962) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5963)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e11) = e13) | (all_25_16 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5963) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5964)  all_25_4 = e13 & op1(e14, e12) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (5949), (5964) are inconsistent by
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5965)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e13 & op1(e14, e10) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5965) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5966)  all_25_9 = e13 & op1(e14, e11) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5966) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5967)  all_25_9 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5968)  op1(e14, e11) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5969)  all_18_21 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5969) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5970)  all_14_9 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5970) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5971)  all_14_9 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5971) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5972)   ~ (all_14_4 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (5971) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5973)   ~ (all_14_7 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (5971) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5974)  op1(e10, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5975)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e13) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5975) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5976)  all_25_1 = e13 & op1(e14, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (5976) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5977)  all_25_3 = e13 & op1(e13, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (5977) are inconsistent by
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5978)  (all_25_7 = e13 & op1(e12, e13) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e13 & op1(e11, e13) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e13 & op1(e10, e13) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5978) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5979)  all_25_7 = e13 & op1(e12, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5979) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5980)  all_25_7 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5981)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (5981) are
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5982)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5982) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5983)  all_25_7 = e10 & op1(e12, e13) = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5980), (5983) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1276.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5984)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5984) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5985)  all_25_13 = e10 & op1(e11, e13) = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5985) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5986)  all_25_13 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (5980), (5986) are inconsistent by
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1272.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5987)  all_25_21 = e10 & op1(e10, e13) = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5987) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5988)  op1(e10, e13) = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5989)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5989) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5990)  all_25_1 = e14 & op1(e14, e13) = e14
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (5990) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5991)  all_25_3 = e14 & op1(e13, e13) = e14
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (5991) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5992)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5992) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5993)  all_25_7 = e14 & op1(e12, e13) = e14
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (5980), (5993) are inconsistent by sub-proof
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1290.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5994)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5994) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, e13, e13, e10,
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5974), (5988) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5995)  e13 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (5995) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5996)  all_25_17 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (847), (5996)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1277.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5997)  all_25_21 = e14 & op1(e10, e13) = e14
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (739), (5988), (5997) are inconsistent by
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1269.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5998)  (all_25_13 = e13 & op1(e11, e13) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e13 & op1(e10, e13) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5998) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5999)  all_25_13 = e13 & op1(e11, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5999) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6000)  op1(e11, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_8, e13, e13, e11,
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (211), (6000) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6001)  all_14_8 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5945), (6001) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6002)  $false
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6002) is inconsistent.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6003)  all_25_21 = e13 & op1(e10, e13) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6003) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6004)  all_25_21 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6005)  all_18_11 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6005) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6006)  all_14_7 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6006) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6007)  all_14_7 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5973), (6007) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6008)  $false
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6008) is inconsistent.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6009)  all_18_11 = e14 | all_18_11 = e12 | all_18_11 =
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 | all_18_11 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6010)  all_18_13 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6010) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6011)  all_14_17 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5951), (6011) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6012)  $false
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6012) is inconsistent.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6013)   ~ (all_18_13 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6014)  all_18_13 = e14 | all_18_13 = e12 | all_18_13 =
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 | all_18_13 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6015)  all_18_23 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (6015) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6016)  all_14_19 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5955), (6016) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6017)  $false
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6017) is inconsistent.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6018)   ~ (all_18_23 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6019)  all_18_23 = e14 | all_18_23 = e12 | all_18_23 =
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 | all_18_23 = e10
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6020)  all_18_10 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (6020) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6021)  all_14_2 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (6021) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6022)   ~ (all_14_0 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (6021) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6023)   ~ (all_14_3 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6023) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6024)   ~ (all_14_3 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (6021) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6025)   ~ (all_14_4 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (6021) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6026)   ~ (all_14_7 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (6021) imply:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6027)   ~ (all_14_12 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6027) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6028)   ~ (all_14_12 = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6029)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e13 & op1(e11, e13) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (212), (508), (509), (510), (511), (512),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (5974), (6004), (6024), (6029) are
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #479.
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6030)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e13 & op1(e11, e10) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6030) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6031)  all_25_14 = e13 & op1(e11, e12) = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6032)  all_25_14 = e13
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (520) gives:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6033)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e14) = e13)
% 238.82/46.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (224), (225), (508), (509), (510), (511),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (517), (519), (523), (707), (726), (728), (731),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (742), (755), (790), (843), (847), (863),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6033) are inconsistent by sub-proof #155.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6034)  (all_25_6 = e13 & op1(e12, e14) = e13) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e13 & op1(e11, e14) = e13) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6034) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6035)  all_25_6 = e13 & op1(e12, e14) = e13
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6035) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6036)  all_25_6 = e13
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6037)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e12 & op1(e11, e13) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (212), (508), (509), (510), (511), (512),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (858), (5974), (6004), (6037) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6038)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6038) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6039)  all_25_14 = e12 & op1(e11, e12) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6032), (6039) are inconsistent by sub-proof
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6040)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6040) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6041)  all_25_15 = e12 & op1(e11, e11) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6041) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6042)  all_25_15 = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6043)  op1(e11, e11) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e12, e11, e11,
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (6043) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6044)  all_14_18 = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6044) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6045)   ~ (all_14_17 = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6044) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6046)   ~ (all_14_19 = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6046) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6047)   ~ (all_14_19 = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6048)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (6048) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6049)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6049) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6050)  all_25_7 = e10 & op1(e12, e13) = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6050) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6051)  all_25_7 = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6052)  op1(e12, e13) = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6053)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6053) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6054)  all_25_1 = e14 & op1(e14, e13) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (6054) are inconsistent by sub-proof
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6055)  all_25_3 = e14 & op1(e13, e13) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (6055) are inconsistent by sub-proof
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6056)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6056) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6057)  all_25_7 = e14 & op1(e12, e13) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6057) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6058)  all_25_7 = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6051), (6058) are inconsistent by
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1251.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6059)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6059) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6060)  all_25_13 = e14 & op1(e11, e13) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6060) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6061)  all_25_13 = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6062)  op1(e11, e13) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_8, e14, e13, e11,
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (211), (6062) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6063)  all_14_8 = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_7, e10, e13, e12,
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (216), (6052) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6064)  all_14_7 = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (6064) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6065)   ~ (all_14_17 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6065) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6066)   ~ (all_14_17 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (6064) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6067)   ~ (all_14_22 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6067) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6068)   ~ (all_14_22 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5973), (6064) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6069)   ~ (e13 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (6064) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6070)   ~ (e12 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (6064) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6071)   ~ (e11 = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6072)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6072) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6073)  all_25_9 = e10 & op1(e14, e11) = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6073) are inconsistent by sub-proof #952.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6074)  all_25_10 = e10 & op1(e13, e11) = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (6074) are inconsistent by sub-proof #1092.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6075)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6075) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6076)  all_25_11 = e10 & op1(e12, e11) = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6076) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6077)  all_25_11 = e10
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6078)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (33), (60), (515), (728), (739),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (5967), (5974), (6051),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6061), (6078) are inconsistent by sub-proof #153.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6079)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6079) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6080)  all_25_11 = e11 & op1(e12, e11) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6077), (6080) are inconsistent by
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1112.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6081)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6081) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6082)  all_25_15 = e11 & op1(e11, e11) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6042), (6082) are inconsistent by
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6083)  all_25_23 = e11 & op1(e10, e11) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6083) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6084)  all_25_23 = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6085)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6085) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6086)  all_25_6 = e11 & op1(e12, e14) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (6036), (6086) are inconsistent by sub-proof
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1188.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6087)  all_25_7 = e11 & op1(e12, e13) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6051), (6087) are inconsistent by
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1014.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6088)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6088) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6089)  all_25_8 = e11 & op1(e12, e12) = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6089) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6090)  all_25_8 = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6091)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6036), (6051), (6061), (6091) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6092)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6092) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6093)  all_25_8 = e14 & op1(e12, e12) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6093) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6094)  all_25_8 = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6051), (6061), (6090), (6094) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1168.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6095)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6095) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6096)  all_25_11 = e14 & op1(e12, e11) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (6096) are inconsistent by
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6097)  all_25_18 = e14 & op1(e12, e10) = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6097) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6098)  all_25_18 = e14
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6099)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (216), (709), (6036), (6099) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6100)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6100) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6101)  all_25_8 = e12 & op1(e12, e12) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6102)  all_25_8 = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6090), (6102) imply:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6103)  e12 = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6103) implies:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6104)  e12 = e11
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (224), (494), (496), (508), (509),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (717), (726), (728), (739),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (843), (847), (5967), (6042), (6084),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6104) are inconsistent by sub-proof #150.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6105)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6105) gives:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6106)  all_25_11 = e12 & op1(e12, e11) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6077), (6106) are
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6107)  all_25_18 = e12 & op1(e12, e10) = e12
% 238.82/46.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6061), (6098), (6107) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #149.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6108)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6108) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6109)  all_25_11 = e11 & op1(e12, e11) = e11
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6077), (6109) are inconsistent by
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1112.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6110)  all_25_18 = e11 & op1(e12, e10) = e11
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6110) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6111)  all_25_18 = e11
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6112)  op1(e12, e10) = e11
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6113)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6036), (6051), (6061), (6113) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6114)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6114) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6115)  all_25_8 = e14 & op1(e12, e12) = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6115) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6116)  all_25_8 = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6117)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (216), (709), (6036), (6117) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6118)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6118) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6119)  all_25_8 = e12 & op1(e12, e12) = e12
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6061), (6116), (6119) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #148.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6120)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6077), (6112), (6120) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #147.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6121)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6121) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6122)  all_25_11 = e14 & op1(e12, e11) = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (6122) are inconsistent by
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6123)  all_25_18 = e14 & op1(e12, e10) = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6123) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6124)  all_25_18 = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6051), (6061), (6111), (6124) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1047.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6125)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6125) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6126)  all_25_15 = e10 & op1(e11, e11) = e10
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6042), (6126) are
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #146.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6127)  all_25_23 = e10 & op1(e10, e11) = e10
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6127) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6128)  all_25_23 = e10
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6014) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6129)  all_18_13 = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6129) imply:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6130)  all_14_17 = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6130) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6131)  all_14_17 = e14
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6131) imply:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6132)  $false
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6132) is inconsistent.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6133)   ~ (all_18_13 = e14)
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6134)  all_18_13 = e12 | all_18_13 = e11 | all_18_13 =
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6135)  all_18_13 = e12
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6135) imply:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6136)  all_14_17 = e12
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6136) implies:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6137)  all_14_17 = e12
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6045), (6137) imply:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6138)  $false
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6138) is inconsistent.
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 238.82/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6139)   ~ (all_18_13 = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6140)  all_18_13 = e11 | all_18_13 = e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6140) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6141)  all_18_13 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6141) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6142)  all_14_17 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6142) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6143)  all_14_17 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6143) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6144)   ~ (all_14_12 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6143) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6145)   ~ (all_14_19 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6145) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6146)   ~ (all_14_19 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6143) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6147)   ~ (all_14_22 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6147) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6148)   ~ (all_14_22 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5951), (6143) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6149)   ~ (e13 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6045), (6143) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6150)   ~ (e12 = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6151)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (33), (60), (515), (728), (739),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (5967), (5974), (6051),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6061), (6151) are inconsistent by sub-proof #153.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6152)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6152) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6153)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6153) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6154)  all_25_11 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6019) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6155)  all_18_23 = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (6155) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6156)  all_14_19 = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6156) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6157)  all_14_19 = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (6157) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6158)  $false
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6158) is inconsistent.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6159)   ~ (all_18_23 = e14)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6160)  all_18_23 = e12 | all_18_23 = e11 | all_18_23 =
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6160) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6161)  all_18_23 = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (6161) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6162)  all_14_19 = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6162) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6163)  all_14_19 = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6047), (6163) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6164)  $false
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6164) is inconsistent.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6165)   ~ (all_18_23 = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6166)  all_18_23 = e11 | all_18_23 = e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6166) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6167)  all_18_23 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (6167) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6168)  all_14_19 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6168) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6169)  all_14_19 = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6146), (6169) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6170)  $false
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6170) is inconsistent.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6171)  all_18_23 = e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (6171) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6172)  all_14_19 = e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6172) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6173)  all_14_19 = e10
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (6173) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6174)   ~ (all_14_24 = e10)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6174) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6175)   ~ (all_14_24 = e10)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6176)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6036), (6051), (6061), (6176) are
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6177)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6177) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6178)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6178) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6179)  all_25_8 = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6180)  op1(e12, e12) = e14
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6181)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (6181) are
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6182)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6182) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6183)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6061), (6179), (6183) are
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #148.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6184)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6184) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6185)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6032), (6185) are inconsistent by sub-proof
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6186)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6186) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6187)  op1(e10, e12) = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6188)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e12) = e11)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6189)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6189) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6190)  op1(e14, e12) = e11
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6191)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (216), (709), (6036), (6191) are
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6192)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6192) gives:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6193)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6193) implies:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6194)  all_25_8 = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6179), (6194) imply:
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6195)  e14 = e12
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6195) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6196)  e14 = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6061), (6196) imply:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6197)  all_25_13 = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6197) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6198)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6198) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6199)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6199) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6200)  all_25_11 = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6154), (6200) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1167.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6201)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6201) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6202)  all_25_18 = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6203)  op1(e12, e10) = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e12, e10, e12,
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (6203) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6204)  all_14_22 = e12
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_12, e14, e12, e12,
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (215), (6180) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6205)  all_14_12 = e14
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e11, e12, e14,
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (6190) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6206)  all_14_10 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6207)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e11 & op1(e11, e13) = e11)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6207) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6208)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6208) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6209)  all_25_12 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6210)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6210) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6211)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6211) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6212)  all_25_12 = e10
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6209), (6212) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6213)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6213) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6214)  all_25_13 = e10
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6215)  op1(e11, e13) = e10
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (30), (31), (32),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (108), (119), (136),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (161), (198), (203), (204),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (215), (216), (223),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (481), (484), (486), (490),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (494), (495), (496), (499), (500), (501),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (504), (505), (507), (508), (509), (510), (511),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (522),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (715), (717), (719), (721),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (723), (728), (731), (733), (739), (746), (748),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (828), (832), (843),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (863), (5908), (5909),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5945), (5951), (5967), (5973), (5974), (6004),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6022), (6028), (6032), (6036), (6042), (6214),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6215) are inconsistent by sub-proof #116.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6216)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (28), (29), (30), (31), (32), (33),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (210), (508), (509),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (726), (728), (735), (739),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (847), (863), (6042), (6216) are
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #114.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6217)  all_25_13 = e11 & op1(e11, e13) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6217) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6218)  all_25_13 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6051), (6218) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1169.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6219)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6219) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6220)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6220) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6221)  all_25_14 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6032), (6221) imply:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6222)  e13 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6222) implies:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6223)  e13 = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (6223) imply:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6224)  $false
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6224) is inconsistent.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6225)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6225) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6226)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6042), (6226) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6227)  all_25_19 = e11 & op1(e11, e10) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (508), (509), (510),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (6202), (6227) are
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #112.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6228)  all_25_5 = e11 & op1(e13, e12) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (726), (6228) are inconsistent by
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6229)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6229) gives:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6230)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6051), (6061), (6179), (6230) are
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1100.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6231)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (60), (707), (6032), (6187), (6231) are
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.03/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6232)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6233)  all_25_11 = e14 & op1(e12, e11) = e14
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (6233) are inconsistent by
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6234)  all_25_18 = e14 & op1(e12, e10) = e14
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6234) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6235)  all_25_18 = e14
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6236)  op1(e12, e10) = e14
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6237)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (216), (709), (6036), (6237) are
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6238)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6238) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6239)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6239) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6240)  op1(e12, e12) = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6241)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (223), (719), (844), (6241) are
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6242)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6243)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6243) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6244)  all_25_18 = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6061), (6235), (6244) are
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #111.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6245)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6245) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6246)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6246) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6247)  all_25_19 = e12
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6248)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e11 & op1(e11, e13) = e11)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6248) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6249)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6249) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6250)  all_25_12 = e11
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6251)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6251) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6252)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6252) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6253)  all_25_12 = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6250), (6253) are inconsistent by
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6254)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6061), (6254) are inconsistent by
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1159.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6255)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6255) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6256)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6256) implies:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6257)  op1(e11, e12) = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (210), (735), (6257) are inconsistent by
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6258)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6258) gives:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6259)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6042), (6259) are
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #146.
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6260)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6247), (6260) are
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1045.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6261)  all_25_13 = e11 & op1(e11, e13) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6262)  all_25_13 = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6061), (6262) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1170.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6263)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6264)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (6032), (6264) are inconsistent by sub-proof
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #477.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6265)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6265) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6266)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6042), (6266) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6267)  all_25_19 = e11 & op1(e11, e10) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6247), (6267) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6268)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6268) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6269)  all_25_24 = e12
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6270)  op1(e10, e10) = e12
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_24, e12, e10, e10,
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (6270) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6271)  all_14_24 = e12
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e14, e10, e12,
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (6236) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6272)  all_14_22 = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_12, e12, e12, e12,
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (215), (6240) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6273)  all_14_12 = e12
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6274)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6274) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6275)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6275) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6276)  all_25_0 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6277)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (726), (728), (731),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (818), (843), (847), (863),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6277) are inconsistent by sub-proof #127.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6278)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6278) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6279)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6036), (6051), (6061), (6279) are
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1174.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6280)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6280) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6281)  all_25_12 = e14 & op1(e11, e14) = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6281) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6282)  all_25_12 = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6283)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6284)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6284) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6285)  all_25_12 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6282), (6285) imply:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6286)  e14 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (6286) imply:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6287)  $false
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6287) is inconsistent.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6288)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6288) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6289)  all_25_13 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6290)  op1(e11, e13) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (30), (31), (32),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (108), (119), (136),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (161), (198), (203), (204),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (215), (216), (223),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (481), (484), (486), (490),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (494), (495), (496), (499), (500), (501),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (504), (505), (507), (508), (509), (510), (511),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (522),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (715), (717), (719), (721),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (723), (728), (731), (733), (739), (746), (748),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (828), (832), (843),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (863), (5908), (5909),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5945), (5951), (5967), (5973), (5974), (6004),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6022), (6028), (6032), (6036), (6042), (6289),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6290) are inconsistent by sub-proof #116.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6291)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6291) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6292)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6292) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6293)  op1(e11, e12) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (210), (735), (6293) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6294)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6294) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6295)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6042), (6295) are
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #146.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6296)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6296) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6297)  all_25_19 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (224), (225), (485),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (509), (510), (511), (512), (515), (517),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (519), (523), (707), (726), (728), (731), (739),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (790), (818), (843), (847), (863),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (5974), (6004), (6051), (6061), (6235),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6269), (6276), (6297) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #108.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6298)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6298) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6299)  all_25_20 = e14
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6300)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6300) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6301)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6276), (6301) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1222.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6302)  all_25_2 = e11 & op1(e13, e14) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (6302) are inconsistent by sub-proof
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6303)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6303) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6304)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (6036), (6304) are inconsistent by sub-proof
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1188.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6305)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6305) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6306)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6306) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6307)  all_25_12 = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6308)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6308) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6309)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6307), (6309) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1124.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6310)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6310) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6311)  all_25_13 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6312)  op1(e11, e13) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (30), (31), (32),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (108), (119), (136),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (161), (198), (203), (204),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (215), (216), (223),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (481), (484), (486), (490),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (494), (495), (496), (499), (500), (501),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (504), (505), (507), (508), (509), (510), (511),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (522),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (715), (717), (719), (721),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (723), (728), (731), (733), (739), (746), (748),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (828), (832), (843),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (863), (5908), (5909),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5945), (5951), (5967), (5973), (5974), (6004),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6022), (6028), (6032), (6036), (6042), (6311),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6312) are inconsistent by sub-proof #116.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6313)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6313) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6314)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6314) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6315)  op1(e11, e12) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (210), (735), (6315) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6316)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6316) gives:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6317)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6042), (6317) are
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #146.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6318)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6318) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6319)  all_25_19 = e10
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (224), (225), (485),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (509), (510), (511), (512), (515), (517),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (519), (523), (707), (726), (728), (731), (739),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (790), (818), (843), (847), (863),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (5974), (6004), (6051), (6061), (6235),
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6269), (6276), (6319) are inconsistent by
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #108.
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6320)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6320) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6321)  all_25_20 = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6299), (6321) imply:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6322)  e14 = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6322) implies:
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6323)  e14 = e11
% 239.08/46.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6061), (6323) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6324)  all_25_13 = e11
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6051), (6324) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1169.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6325)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (6325) are
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6326)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6326) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6327)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6328)  op1(e14, e12) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (6328) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6329)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6329) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6330)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6330) are inconsistent by sub-proof #952.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6331)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6331) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6332)  op1(e14, e10) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (29), (31), (33), (42), (43), (60),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (6332) are inconsistent by sub-proof
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6333)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6333) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6334)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6334) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6335)  all_25_11 = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6335) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6336)  e12 = e11
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (6336) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6337)  $false
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6337) is inconsistent.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6338)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6061), (6235), (6338) are
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #149.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6339)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (726), (6042), (6128), (6339) are
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #131.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6340)  all_18_13 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6340) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6341)  all_14_17 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6341) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6342)  all_14_17 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6066), (6342) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6343)  $false
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6343) is inconsistent.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6344)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6345)  op1(e10, e13) = e14
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (5974), (6345) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6346)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6346) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6347)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6347) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6348)  all_25_13 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6349)  op1(e11, e13) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (30), (31), (32),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (108), (119), (136),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (161), (198), (203), (204),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (215), (216), (223),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (481), (484), (486), (490),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (494), (495), (496), (499), (500), (501),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (504), (505), (507), (508), (509), (510), (511),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (516), (517), (518), (519), (522),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (715), (717), (719), (721),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (723), (728), (731), (733), (739), (746), (748),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (828), (832), (843),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (863), (5908), (5909),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5945), (5951), (5967), (5973), (5974), (6004),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6022), (6028), (6032), (6036), (6042), (6348),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6349) are inconsistent by sub-proof #116.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6350)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6350) are inconsistent by sub-proof
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6351)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6352)  all_25_19 = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6353)  op1(e11, e10) = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_23, e12, e10, e11,
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (6353) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6354)  all_14_23 = e12
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (508), (509), (510),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (6352), (6353) are
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #139.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6355)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6355) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6356)  all_25_12 = e13 & op1(e11, e14) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (212), (6024), (6356) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1033.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6357)  all_25_20 = e13 & op1(e10, e14) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (207), (5972), (6357) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6358)  (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e13 & op1(e11, e10) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6358) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6359)  all_25_15 = e13 & op1(e11, e11) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (5953), (6359) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #970.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6360)  all_25_19 = e13 & op1(e11, e10) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (208), (830), (6360) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #951.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6361)   ~ (all_18_10 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (6361) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6362)   ~ (all_14_2 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6363)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e12, e13) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (217), (508), (509), (510), (511), (512),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (5974), (6004), (6362), (6363) are
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6364)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6364) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6365)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6365) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6366)  all_25_8 = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6367)  op1(e12, e12) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (520) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6368)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e14) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (224), (225), (508), (509), (510), (511),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (517), (519), (523), (707), (726), (728), (731),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (742), (755), (790), (843), (847), (863),
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6368) are inconsistent by sub-proof #155.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6369)  (all_25_6 = e13 & op1(e12, e14) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e13 & op1(e11, e14) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6369) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6370)  all_25_6 = e13 & op1(e12, e14) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (217), (6362), (6370) are inconsistent by
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1029.
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6371)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e13 & op1(e10, e14) = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6371) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6372)  all_25_12 = e13 & op1(e11, e14) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6372) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6373)  all_25_12 = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6374)  op1(e11, e14) = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_3, e13, e14, e11,
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (212), (6374) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6375)  all_14_3 = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_12, e13, e12, e12,
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (215), (6367) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6376)  all_14_12 = e13
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (6375) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6377)   ~ (all_14_0 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (6375) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6378)   ~ (all_14_4 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (6375) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6379)   ~ (all_14_8 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (6376) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6380)   ~ (all_14_13 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6380) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6381)   ~ (all_14_13 = e13)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6382)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6382) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6383)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6383) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6384)  all_25_0 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6385)  op1(e14, e14) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, e10, e14, e14,
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (227), (6385) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6386)  all_14_0 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (6386) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6387)   ~ (all_14_2 = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6387) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6388)   ~ (all_14_2 = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6386) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6389)   ~ (all_14_10 = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6377), (6386) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6390)   ~ (e13 = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (6386) imply:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6391)   ~ (e12 = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6392)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6392) gives:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6393)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6393) implies:
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6394)  all_25_20 = e10
% 239.08/46.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (492), (508),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (518), (522),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (830),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (5953), (5974), (6004), (6381),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6384), (6394) are inconsistent by sub-proof #103.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6395)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6395) are inconsistent by sub-proof
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6396)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6396) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6397)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6397) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6398)  all_25_22 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (225), (492), (504),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (505), (507), (508), (509), (510), (511), (512),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (715), (726), (728), (739), (755),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (830), (843), (847), (5953), (5974),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6366), (6373), (6381), (6398) are
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #98.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6399)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6399) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6400)  all_25_23 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6401)  op1(e10, e11) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e10, e11, e10,
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (6401) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6402)  all_14_19 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (6402) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6403)   ~ (all_14_4 = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6402) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6404)   ~ (all_14_18 = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6405)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6405) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6406)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6384), (6406) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6407)  all_25_2 = e14 & op1(e13, e14) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (707), (6407) are
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6408)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6408) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6409)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6409) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6410)  all_25_6 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6411)  op1(e12, e14) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6412)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6412) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6413)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6384), (6413) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1222.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6414)  all_25_2 = e11 & op1(e13, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (6414) are inconsistent by sub-proof
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6415)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6415) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6416)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6410), (6416) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #105.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6417)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6418)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6418) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6419)  all_25_12 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6381), (6419) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #949.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6420)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6420) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6421)  all_25_20 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6422)  op1(e10, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e11, e14, e10,
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (6422) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6423)  all_14_4 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_2, e14, e14, e12,
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (217), (6411) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6424)  all_14_2 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (6424) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6425)   ~ (all_14_7 = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6425) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6426)   ~ (all_14_7 = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5972), (6423) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6427)   ~ (e13 = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (6423) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6428)   ~ (e12 = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6009) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6429)  all_18_11 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6429) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6430)  all_14_7 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6430) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6431)  all_14_7 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6426), (6431) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6432)  $false
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6432) is inconsistent.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6433)  all_18_11 = e12 | all_18_11 = e11 | all_18_11 =
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6433) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6434)  all_18_11 = e12
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6434) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6435)  all_14_7 = e12
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6435) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6436)  all_14_7 = e12
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (6436) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6437)  $false
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6437) is inconsistent.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6438)   ~ (all_18_11 = e12)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6439)  all_18_11 = e11 | all_18_11 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6440)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6441)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (6441) are inconsistent by sub-proof
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6442)  all_25_3 = e14 & op1(e13, e13) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (6442) are inconsistent by sub-proof
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6443)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6443) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6444)  all_25_7 = e14 & op1(e12, e13) = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6444) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6445)  all_25_7 = e14
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6446)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e12, e13) = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6446) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6447)  all_25_6 = e10 & op1(e12, e14) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6447) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6448)  all_25_6 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6410), (6448) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6449)  e14 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (6449) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6450)  $false
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6450) is inconsistent.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6451)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6445), (6451) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #982.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6452)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6453)  all_25_8 = e10 & op1(e12, e12) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6366), (6453) are inconsistent by sub-proof #486.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6454)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6454) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6455)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6455) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6456)  all_25_11 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6457)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6458)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (5974), (6004), (6373), (6381), (6458) are
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #920.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6459)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (6459) are inconsistent by sub-proof
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #984.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6460)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6460) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6461)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6461) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6462)  all_25_11 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6456), (6462) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6463)  e11 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6421), (6463) are inconsistent by sub-proof #97.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6464)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6464) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6465)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6465) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6466)  all_25_15 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6467)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6468)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6410), (6468) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #105.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6469)  all_25_7 = e11 & op1(e12, e13) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6445), (6469) are inconsistent by
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1151.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6470)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6470) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6471)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6366), (6373), (6381), (6471) are
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6472)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6472) gives:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6473)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6473) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6474)  all_25_11 = e11
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6456), (6474) imply:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6475)  e11 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6475) implies:
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6476)  e11 = e10
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6466), (6476) imply:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6477)  all_25_15 = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (208), (209), (210), (224), (492),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (496), (508), (509), (510), (511), (512),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (717), (726), (728), (739), (755),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (759), (790), (830), (843), (847), (5953), (5967),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6373), (6381), (6456), (6477) are
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #485.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6478)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6478) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6479)  op1(e12, e10) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (216), (501), (508), (509), (510), (511),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (726), (728), (739), (847), (6366),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6410), (6456), (6479) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6480)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6481)  all_25_23 = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6400), (6481) imply:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6482)  e11 = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6421), (6482) are inconsistent by sub-proof #97.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6483)  all_25_18 = e10 & op1(e12, e10) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6483) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6484)  all_25_18 = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6485)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6485) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6486)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6410), (6486) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #105.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6487)  all_25_7 = e11 & op1(e12, e13) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (6445), (6487) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1151.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6488)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6488) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6489)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6366), (6373), (6381), (6489) are
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6490)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6490) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6491)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6491) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6492)  all_25_11 = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (216), (501), (508), (509), (510), (511),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (726), (728), (739), (847), (6366),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6410), (6484), (6492) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6493)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6493) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6494)  all_25_18 = e11
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6484), (6494) imply:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6495)  e11 = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6421), (6495) are inconsistent by sub-proof #97.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6496)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6496) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6497)  all_25_13 = e14 & op1(e11, e13) = e14
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6498)  all_25_13 = e14
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6499)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6499) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6500)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6373), (6500) are inconsistent by sub-proof #93.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6501)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6498), (6501) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1159.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6502)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6502) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6503)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6503) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6504)  op1(e11, e12) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (210), (735), (6504) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6505)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6505) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6506)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (6404), (6506) are inconsistent by
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #92.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6507)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6507) implies:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6508)  all_25_19 = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6509)  op1(e11, e10) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6510)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (6510) are
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6511)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6512)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6513)  all_25_7 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6439) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6514)  all_18_11 = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6514) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6515)  all_14_7 = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6515) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6516)  all_14_7 = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (6516) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6517)  $false
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6517) is inconsistent.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6518)  all_18_11 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6518) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6519)  all_14_7 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6519) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6520)  all_14_7 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (6520) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6521)   ~ (all_14_8 = e10)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6521) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6522)   ~ (all_14_8 = e10)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (6520) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6523)   ~ (e11 = e10)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (6520) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6524)  op1(e12, e13) = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5944) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6525)  all_18_16 = e14
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6525) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6526)  all_14_8 = e14
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (6526) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6527)   ~ (all_14_23 = e14)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6527) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6528)   ~ (all_14_23 = e14)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (6526) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6529)  op1(e11, e13) = e14
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_23, e10, e10, e11,
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (6509) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6530)  all_14_23 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6531)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6531) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6532)  all_25_6 = e12 & op1(e12, e14) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6532) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6533)  all_25_6 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6410), (6533) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6534)  e14 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6534) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6535)  all_25_13 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6535) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6536)  all_25_7 = e12 & op1(e12, e13) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6536) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6537)  op1(e12, e13) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (6537) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6538)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6538) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6539)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6366), (6539) are inconsistent by sub-proof
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6540)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6540) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6541)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6541) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6542)  all_25_11 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6543)  op1(e12, e11) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6544)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6421), (6498), (6513), (6544) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #91.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6545)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6545) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6546)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6366), (6373), (6381), (6546) are
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6547)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6547) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6548)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6542), (6548) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1149.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6549)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6549) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6550)  op1(e12, e10) = e11
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6551)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (223), (719), (844), (6551) are
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6552)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6552) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6553)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6553) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6554)  op1(e12, e10) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (6550), (6554) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6555)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6556)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6557)  all_25_19 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6508), (6557) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6558)  e12 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6542), (6558) imply:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6559)  all_25_11 = e10
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (216), (501), (508), (509), (510), (511),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (726), (728), (739), (847), (6366),
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6410), (6550), (6559) are inconsistent by
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6560)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6560) implies:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6561)  all_25_24 = e12
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6562)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.08/46.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (187), (206), (207),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (212), (214), (216), (217),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (481), (482), (485), (486),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (491), (492), (493), (495), (496), (499),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (503), (504), (505), (507), (508), (509),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (522), (707),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (709), (713), (715), (717), (719), (726), (728),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (744), (746), (755), (759), (790),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (844), (847), (856), (858),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (860), (863), (5953), (5967), (5972), (5974),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6362), (6366), (6373), (6381), (6384),
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6388), (6400), (6403), (6404), (6562) are
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6563)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6563) gives:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6564)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6564) implies:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6565)  all_25_22 = e14
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6566)  op1(e10, e12) = e14
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6567)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (6567) are
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.08/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6568)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6568) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6569)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6366), (6569) are inconsistent by sub-proof
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6570)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6570) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6571)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6571) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6572)  all_25_14 = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6573)  op1(e11, e12) = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6574)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e12) = e11)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6574) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6575)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6575) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6576)  all_25_4 = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6577)  op1(e14, e12) = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6578)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6579)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6580)  all_25_0 = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6384), (6580) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6581)  e14 = e10
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6581) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6582)  e14 = e10
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6565), (6582) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6583)  all_25_22 = e10
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (43), (60), (507), (728), (739),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6366), (6572), (6576), (6583) are inconsistent by
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #102.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6584)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6498), (6584) are
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6585)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6585) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6586)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6586) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6587)  all_25_4 = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6576), (6587) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6588)  e14 = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6588) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6589)  e14 = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6589) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6590)  all_25_13 = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6513), (6590) are inconsistent by
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1169.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6591)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6591) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6592)  all_25_9 = e14 & op1(e14, e11) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (6592) are inconsistent by
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6593)  all_25_16 = e14 & op1(e14, e10) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6593) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6594)  op1(e14, e10) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6595)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6595) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6596)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6596) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6597)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6597) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6598)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_0) & $i(all_23_10) & $i(all_23_11)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (60), (739), (6524), (6598) are inconsistent
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1062.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6599)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_2) & $i(all_23_20) & $i(all_23_21)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6599) implies:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6600)   ~ (all_23_20 = all_23_21)
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6601)  op1(e12, e14) = all_23_20
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6602)  op1(e14, e12) = all_23_21
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6603)  op1(all_23_21, e12) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_20, e14, e12,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6411), (6601) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6604)  all_23_20 = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_23_21, e12, e14,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6577), (6602) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6605)  all_23_21 = e11
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6603), (6605) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6606)  op1(e11, e12) = e14
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, e14, e12, e11,
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6573), (6606) gives:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6607)  e14 = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6607) imply:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6608)  all_25_13 = e12
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6608) are inconsistent by
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6609)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6609) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6610)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6610) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6611)   ~ (all_23_32 = all_23_33)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6612)  op1(e11, e14) = all_23_32
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6613)  op1(e14, e11) = all_23_33
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_23_32, e14, e11,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6374), (6612) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6614)  all_23_32 = e13
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_23_33, e11, e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5968), (6613) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6615)  all_23_33 = e13
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6611), (6614), (6615) imply:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6616)  $false
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6616) is inconsistent.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6617)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6617) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6618)  all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6618) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6619)   ~ (all_23_6 = e10)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6620)  op1(e14, e10) = all_23_47
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6621)  op1(all_23_47, e14) = all_23_6
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_47, e10, e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6594), (6620) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6622)  all_23_47 = e14
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6621), (6622) imply:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6623)  op1(e14, e14) = all_23_6
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_6, e14, e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6385), (6623) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6624)  all_23_6 = e10
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6619), (6624) imply:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6625)  $false
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6625) is inconsistent.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6626)  all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_8) & $i(all_23_10) & $i(all_23_11)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6626) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6627)   ~ (all_23_10 = all_23_11)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6628)  op1(e13, e14) = all_23_10
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6629)  op1(e14, e13) = all_23_11
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (60), (863), (6627), (6628), (6629) are
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6630)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6630) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6631)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (43), (60), (6524), (6529), (6631) are
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1054.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6632)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6632) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6633)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6633) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6634)   ~ (all_23_50 = all_23_51)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6635)  op1(e10, e13) = all_23_50
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6636)  op1(e13, e10) = all_23_51
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (844), (5974), (6634), (6635), (6636) are
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6637)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6637) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6638)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6638) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6639)  op1(e12, e14) = all_23_20
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6640)  op1(all_23_20, e14) = e12
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_20, e14, e12,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6411), (6639) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6641)  all_23_20 = e14
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6640), (6641) imply:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6642)  op1(e14, e14) = e12
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, e12, e14, e14,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6385), (6642) gives:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6643)  e12 = e10
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (6643) imply:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6644)  $false
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6644) is inconsistent.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6645)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6645) implies:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6646)   ~ (all_23_24 = all_23_25)
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6647)  op1(e12, e13) = all_23_24
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6648)  op1(e13, e12) = all_23_25
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (6524), (6646), (6647), (6648) are
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6649)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6649) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6650)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6651)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6651) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6652)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6652) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6653)   ~ (all_23_40 = all_23_41)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6654)  op1(e11, e12) = all_23_40
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6655)  op1(e12, e11) = all_23_41
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (6543), (6573), (6653), (6654), (6655) are
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #78.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6656)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6656) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6657)   ~ (all_23_54 = all_23_55)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6658)  op1(e10, e12) = all_23_54
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6659)  op1(e12, e10) = all_23_55
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6660)  op1(all_23_55, e10) = e12
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_54, e12, e10,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6566), (6658) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6661)  all_23_54 = e14
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_23_55, e10, e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6550), (6659) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6662)  all_23_55 = e11
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6662) imply:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6663)  op1(e11, e10) = e12
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, e12, e10, e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6509), (6663) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6664)  e12 = e10
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6542), (6664) imply:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6665)  all_25_11 = e10
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (216), (501), (508), (509), (510), (511),
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (726), (728), (739), (847), (6366),
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6410), (6550), (6665) are inconsistent by
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6666)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6666) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6667)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6667) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6668)  op1(e11, e14) = all_23_32
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6669)  op1(all_23_32, e14) = e11
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (863), (6374), (6668), (6669) are
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #992.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6670)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6670) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6671)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6671) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6672)   ~ (all_23_36 = all_23_37)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6673)  op1(e11, e13) = all_23_36
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6674)  op1(e13, e11) = all_23_37
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (60), (6529), (6672), (6673), (6674) are
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1055.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6675)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6675) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6676)   ~ (all_23_40 = all_23_41)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6677)  op1(e11, e12) = all_23_40
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6678)  op1(e12, e11) = all_23_41
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (6543), (6573), (6676), (6677), (6678) are
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #78.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6679)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6680)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6680) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6681)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6681) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6682)   ~ (all_23_58 = all_23_59)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6683)  op1(e10, e11) = all_23_58
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6684)  op1(e11, e10) = all_23_59
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (6401), (6509), (6682), (6683), (6684) are
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #77.
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6685)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6685) implies:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6686)  op1(e10, e14) = all_23_46
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6687)  op1(all_23_46, e14) = e10
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_23_46, e14, e10,
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6422), (6686) gives:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6688)  all_23_46 = e11
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6687), (6688) imply:
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6689)  op1(e11, e14) = e10
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, e10, e14, e11,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6374), (6689) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6690)  e13 = e10
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (6690) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6691)  $false
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6691) is inconsistent.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6692)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6692) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6693)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6693) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6694)   ~ (all_23_50 = all_23_51)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6695)  op1(e10, e13) = all_23_50
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6696)  op1(e13, e10) = all_23_51
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (844), (5974), (6694), (6695), (6696) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6697)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6697) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6698)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (6566), (6698) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #76.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6699)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6699) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6700)   ~ (all_23_58 = all_23_59)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6701)  op1(e10, e11) = all_23_58
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6702)  op1(e11, e10) = all_23_59
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (6401), (6509), (6700), (6701), (6702) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #77.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6703)  all_25_5 = e11 & op1(e13, e12) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (726), (6703) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6704)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6704) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6705)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6366), (6373), (6381), (6705) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6706)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6706) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6707)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6572), (6707) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1108.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6708)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6708) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6709)  all_25_22 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6565), (6709) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6710)  e14 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6710) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6711)  all_25_13 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6513), (6711) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1169.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6712)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6712) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6713)  all_25_22 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6565), (6713) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6714)  e14 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6714) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6715)  all_25_13 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6715) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6716)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6716) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6717)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6717) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6718)  op1(e10, e11) = e14
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (6718) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6719)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6719) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6720)  all_25_24 = e14
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6561), (6720) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6721)  e14 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6721) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6722)  e14 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6722) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6723)  all_25_13 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6723) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6724)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6724) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6725)  all_25_18 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6726)  op1(e12, e10) = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6727)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6421), (6498), (6513), (6727) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #91.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6728)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6728) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6729)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6366), (6373), (6381), (6729) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #488.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6730)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6730) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6731)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6732)  all_25_11 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6733)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6733) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6734)  all_25_16 = e11 & op1(e14, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (29), (31), (33), (42), (43), (60),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (818), (863), (6734) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #124.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6735)  all_25_17 = e11 & op1(e13, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6373), (6381), (6735) are
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #927.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6736)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6737)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6738)  op1(e12, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (6726), (6738) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6739)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6739) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6740)  all_25_19 = e11 & op1(e11, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6740) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6741)  all_25_19 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6508), (6741) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6742)  e11 = e10
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6421), (6742) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6743)  all_25_20 = e10
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (707), (726),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (830), (843), (847),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5953), (5974), (6004), (6381), (6384), (6410),
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6743) are inconsistent by sub-proof #104.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6744)  all_25_24 = e11 & op1(e10, e10) = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6744) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6745)  all_25_24 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6746)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e12 & op1(e10, e13) = e12)
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6746) gives:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6747)  all_25_20 = e12 & op1(e10, e14) = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6747) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6748)  all_25_20 = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6421), (6748) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6749)  e12 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6749) implies:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6750)  e12 = e11
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (6750) imply:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6751)  $false
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6751) is inconsistent.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6752)  all_25_21 = e12 & op1(e10, e13) = e12
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (206), (713), (6752) are inconsistent by
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6753)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6753) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6754)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6754) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6755)  all_25_22 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6756)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (187), (206), (207),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (212), (214), (216), (217),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (481), (482), (485), (486),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (491), (492), (493), (495), (496), (499),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (503), (504), (505), (507), (508), (509),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (522), (707),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (709), (713), (715), (717), (719), (726), (728),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (744), (746), (755), (759), (790),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (844), (847), (856), (858),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (860), (863), (5953), (5967), (5972), (5974),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6362), (6366), (6373), (6381), (6384),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6388), (6400), (6403), (6404), (6756) are
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6757)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6757) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6758)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (5974), (6004), (6498), (6755), (6758) are
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6759)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6759) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6760)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6761)  op1(e10, e11) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (6761) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6762)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6762) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6763)  all_25_24 = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6745), (6763) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6764)  e14 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6764) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6765)  e14 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6498), (6765) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6766)  all_25_13 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (5974), (6513), (6766) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1169.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6767)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6767) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6768)  all_25_23 = e12 & op1(e10, e11) = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6768) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6769)  all_25_23 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6400), (6769) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6770)  e12 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6770) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6771)  e12 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6725), (6771) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6772)  all_25_18 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (216), (501), (508), (509), (510), (511),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (726), (728), (739), (847), (6366),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6410), (6732), (6772) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6773)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6773) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6774)  all_25_24 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6745), (6774) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #75.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6775)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6775) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6776)  op1(e12, e10) = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (6726), (6776) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6777)  all_18_16 = e12 | all_18_16 = e11 | all_18_16 =
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6777) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6778)  all_18_16 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6778) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6779)  all_14_8 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6779) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6780)  all_14_8 = e12
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (6780) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6781)  $false
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6781) is inconsistent.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6782)  all_18_16 = e11 | all_18_16 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6782) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6783)  all_18_16 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6783) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6784)  all_14_8 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6784) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6785)  all_14_8 = e11
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (6785) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6786)  $false
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6786) is inconsistent.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6787)  all_18_16 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6787) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6788)  all_14_8 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6788) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6789)  all_14_8 = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6522), (6789) imply:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6790)  $false
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6790) is inconsistent.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6791)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6791) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6792)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (6498), (6792) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1159.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6793)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6793) are inconsistent by sub-proof #934.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6794)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6794) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6795)  op1(e10, e13) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (5974), (6795) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6796)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6797)  all_25_12 = e14 & op1(e11, e14) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (208), (209), (210), (492), (508), (509),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (707), (726), (728),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (830), (843), (847), (5953),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5974), (6004), (6381), (6797) are inconsistent by
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #931.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6798)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6799)  all_25_20 = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6800)  op1(e10, e14) = e14
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (187), (206), (207),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (212), (214), (216), (217),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (481), (482), (485), (486),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (491), (492), (493), (495), (496), (499),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (503), (504), (505), (507), (508), (509),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (518), (522), (707),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (709), (713), (715), (717), (719), (726), (728),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (744), (746), (755), (759), (790),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (830), (843), (844), (847), (856), (858),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (860), (863), (5953), (5967), (5972), (5974),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6362), (6366), (6373), (6381), (6384),
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6388), (6400), (6403), (6404), (6799), (6800) are
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #80.
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.43/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6801)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (6801) are
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6802)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6802) gives:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6803)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6803) implies:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6804)  op1(e14, e12) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (6804) are inconsistent by
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6805)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6805) gives:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6806)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5967), (6806) are inconsistent by sub-proof #972.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6807)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6807) implies:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6808)  op1(e14, e10) = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_20, e10, e10, e14,
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (223), (6808) gives:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6809)  all_14_20 = e10
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (6809) imply:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6810)   ~ (e13 = e10)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (29), (31), (33), (42), (43), (60),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (6808) are inconsistent by sub-proof
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6811)  all_25_20 = e13 & op1(e10, e14) = e13
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (207), (5972), (6811) are inconsistent by
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6812)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6812) gives:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6813)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (5951), (6813) are inconsistent by
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1228.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6814)  all_25_18 = e13 & op1(e12, e10) = e13
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (213), (828), (6814) are inconsistent by
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #976.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6815)   ~ (all_18_21 = e13)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (6815) imply:
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6816)   ~ (all_14_9 = e13)
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (28), (29), (30), (31), (32), (33),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (151), (160), (204),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (211), (216), (508), (509), (510), (511),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (514), (515), (707), (709), (721), (726),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (818), (843), (847),
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5945), (6816) are inconsistent by
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6817)  all_25_16 = e13 & op1(e14, e10) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (223), (826), (6817) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1295.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6818)   ~ (all_18_3 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (6818) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6819)   ~ (all_14_15 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6820)  all_18_21 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (6820) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6821)  all_14_9 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6821) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6822)  all_14_9 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (6822) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6823)   ~ (all_14_4 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (6822) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6824)   ~ (all_14_14 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6824) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6825)   ~ (all_14_14 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (6822) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6826)   ~ (all_14_19 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6826) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6827)   ~ (all_14_19 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6828)  (all_25_20 = e13 & op1(e10, e14) = e13) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e13 & op1(e10, e13) = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6828) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6829)  all_25_20 = e13 & op1(e10, e14) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (207), (6823), (6829) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6830)  all_25_21 = e13 & op1(e10, e13) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6830) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6831)  all_25_21 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6832)  op1(e10, e13) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6833)  all_18_2 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (6833) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6834)  all_14_10 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6834) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6835)  all_14_10 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (6835) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6836)   ~ (all_14_0 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6835) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6837)   ~ (all_14_12 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6837) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6838)   ~ (all_14_12 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (6835) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6839)   ~ (all_14_13 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6839) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6840)   ~ (all_14_13 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6835) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6841)   ~ (all_14_15 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6835) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6842)   ~ (all_14_20 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6843)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e12) = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6843) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6844)  all_25_4 = e13 & op1(e14, e12) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6844) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6845)  all_25_4 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6846)  op1(e14, e12) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6847)  all_18_13 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6847) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6848)  all_14_17 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6848) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6849)   ~ (all_14_18 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6849) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6850)   ~ (all_14_18 = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6851)  (all_25_12 = e13 & op1(e11, e14) = e13) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e13 & op1(e11, e13) = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6851) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6852)  all_25_12 = e13 & op1(e11, e14) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6852) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6853)  all_25_12 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6854)  op1(e11, e14) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6855)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (224), (6819), (6855) are
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1229.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6856)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6856) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6857)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6857) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6858)  all_25_11 = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6859)  op1(e12, e11) = e13
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6860)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (224), (717), (6860) are
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6861)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6861) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6862)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6858), (6862) are inconsistent by sub-proof
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1020.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6863)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6863) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6864)  all_25_15 = e12 & op1(e11, e11) = e12
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6864) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6865)  all_25_15 = e12
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6866)  op1(e11, e11) = e12
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e12, e11, e11,
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (6866) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6867)  all_14_18 = e12
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6867) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6868)   ~ (all_14_19 = e12)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6868) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6869)   ~ (all_14_19 = e12)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6870)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6871)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6871) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6872)  all_25_9 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6873)  op1(e14, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6874)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6874) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6875)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6875) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6876)  all_25_9 = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6872), (6876) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1238.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6877)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (6877) are inconsistent by sub-proof
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6878)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6878) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6879)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (6825), (6838), (6840), (6845), (6858),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6879) are inconsistent by sub-proof #1018.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6880)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6880) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6881)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6865), (6881) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6882)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6882) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6883)  op1(e10, e11) = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6884)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6884) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6885)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6885) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6886)  all_25_20 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6887)  op1(e10, e14) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e11, e11, e10,
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (6883) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6888)  all_14_19 = e11
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e10, e14, e10,
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (6887) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6889)  all_14_4 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_15, e10, e11, e14,
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (224), (6873) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6890)  all_14_15 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (6888), (6890) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6891)   ~ (e11 = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6819), (6890) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6892)   ~ (e13 = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (6890) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6893)   ~ (e12 = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6827), (6888) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6894)   ~ (e13 = e11)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6869), (6888) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6895)   ~ (e12 = e11)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (28), (29), (30),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (60), (204),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (223), (484), (485), (486), (508), (509),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (719), (726), (728), (739),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (748), (790), (818), (843), (844), (847), (856),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5909), (6832), (6886), (6887) are
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6896)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6831),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6896) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6897)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6897) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6898)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6898) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6899)  op1(e10, e12) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (737), (6899) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #65.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6900)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6900) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6901)  all_25_23 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6902)  op1(e10, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (29),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (32), (33), (42), (43), (44), (45),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (113), (116), (126), (127), (131), (185),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (203), (204), (205), (208), (209),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (213), (214), (215), (216), (217), (223),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (227), (432), (481), (484), (485), (486),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (490), (492), (493), (495), (499), (500),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (503), (506), (507), (508), (509), (510),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (517), (518), (522), (523),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (717), (719), (726), (728), (733),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (742), (744), (746), (748), (755), (759),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (818), (826), (828), (830), (832), (843),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (856), (863), (5909), (6819),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6825), (6827), (6831), (6832), (6836), (6838),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6846), (6850), (6853), (6854),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6858), (6859), (6865), (6869), (6901), (6902) are
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #51.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6903)  all_25_10 = e10 & op1(e13, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (6903) are inconsistent by sub-proof #1092.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6904)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6904) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6905)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6905) implies:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6906)  all_25_11 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6858), (6906) imply:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6907)  e13 = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6907) are inconsistent by
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1043.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6908)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6908) gives:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6909)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6865), (6909) are
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #146.
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6910)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6910) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6911)  all_25_23 = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6912)  op1(e10, e11) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (29),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (32), (33), (42), (43), (44), (45),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (113), (116), (126), (127), (131), (185),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (203), (204), (205), (208), (209),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (213), (214), (215), (216), (217), (223),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (227), (432), (481), (484), (485), (486),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (490), (492), (493), (495), (499), (500),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (503), (506), (507), (508), (509), (510),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (517), (518), (522), (523),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (717), (719), (726), (728), (733),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (742), (744), (746), (748), (755), (759),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (818), (826), (828), (830), (832), (843),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (854), (856), (863), (5909), (6819),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6825), (6827), (6831), (6832), (6836), (6838),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6846), (6850), (6853), (6854),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6858), (6859), (6865), (6869), (6911), (6912) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #51.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6913)  all_25_23 = e12 & op1(e10, e11) = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6913) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6914)  all_25_23 = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6915)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6915) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6916)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6916) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6917)  all_25_20 = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6918)  op1(e10, e14) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (28), (29), (30),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (60), (204),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (223), (484), (485), (486), (508), (509),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (719), (726), (728), (739),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (748), (790), (818), (843), (844), (847), (856),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5909), (6832), (6917), (6918) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6919)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6831),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6919) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6920)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6920) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6921)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6921) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6922)  op1(e10, e12) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (737), (6922) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #65.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6923)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6914), (6923) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6924)  (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6925)  all_25_15 = e13 & op1(e11, e11) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (209), (6850), (6925) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #970.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6926)  all_25_23 = e13 & op1(e10, e11) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (6827), (6926) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1253.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6927)  all_25_13 = e13 & op1(e11, e13) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6927) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6928)  all_25_13 = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (6831), (6832), (6928) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1247.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6929)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e13 & op1(e11, e10) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (208), (209), (210), (830), (6840), (6850),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6929) are inconsistent by sub-proof #950.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6930)   ~ (all_18_13 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (6930) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6931)   ~ (all_14_17 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6932)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e12, e13) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6932) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6933)  all_25_6 = e13 & op1(e12, e14) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6933) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6934)  all_25_6 = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6935)  op1(e12, e14) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6936)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (224), (6819), (6936) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1229.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6937)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6937) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6938)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (6931), (6938) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1228.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6939)  (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6939) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6940)  all_25_15 = e13 & op1(e11, e11) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6940) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6941)  all_25_15 = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6942)  op1(e11, e11) = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e13, e11, e11,
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (6942) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6943)  all_14_18 = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_2, e13, e14, e12,
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (217), (6935) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6944)  all_14_2 = e13
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (6944) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6945)   ~ (all_14_4 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (6944) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6946)   ~ (all_14_7 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6946) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6947)   ~ (all_14_7 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (6943) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6948)   ~ (all_14_3 = e13)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6949)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (224), (717), (6949) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6950)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6950) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6951)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6951) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6952)  all_25_11 = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6953)  op1(e12, e11) = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_17, e12, e11, e12,
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (214), (6953) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6954)  all_14_17 = e12
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6954) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6955)   ~ (all_14_12 = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6954) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6956)   ~ (all_14_19 = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6956) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6957)   ~ (all_14_19 = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6954) imply:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6958)   ~ (all_14_22 = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6958) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6959)   ~ (all_14_22 = e12)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6960)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (6960) are
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6961)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6961) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6962)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6962) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6963)  all_25_7 = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6964)  op1(e12, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (30), (31), (32), (33), (42),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (113), (155), (161), (203),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (211), (212), (214), (215), (216),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (227), (485), (486), (488), (489),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (500), (503), (506), (508), (509),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (517), (519), (523),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (719), (721), (723), (728),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (742), (744), (755), (790), (818),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (832), (843), (844), (847), (854), (858), (863),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5909), (5945), (6825), (6831), (6832), (6836),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6934), (6941), (6947),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6952), (6963), (6964) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #46.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6965)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6966)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6966) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6967)  all_25_13 = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6968)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6968) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6969)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (6969) are inconsistent by sub-proof
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6970)  all_25_3 = e14 & op1(e13, e13) = e14
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (6970) are inconsistent by sub-proof
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6971)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6971) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6972)  all_25_7 = e14 & op1(e12, e13) = e14
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6973)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e12, e13) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6973) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6974)  all_25_6 = e10 & op1(e12, e14) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6934), (6974) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1216.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6975)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6975) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6976)  all_25_7 = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6977)  op1(e12, e13) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (30), (31), (32), (33), (42),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (113), (155), (161), (203),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (211), (212), (214), (215), (216),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (227), (485), (486), (488), (489),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (500), (503), (506), (508), (509),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (517), (519), (523),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (709), (711), (719), (721), (723), (728),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (742), (744), (755), (790), (818),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (832), (843), (844), (847), (854), (858), (863),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5909), (5945), (6825), (6831), (6832), (6836),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6934), (6941), (6947),
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6952), (6976), (6977) are inconsistent by
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #46.
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6978)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6978) gives:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6979)  all_25_8 = e10 & op1(e12, e12) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6979) implies:
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6980)  op1(e12, e12) = e10
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_12, e10, e12, e12,
% 239.60/46.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (215), (6980) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6981)  all_14_12 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (6981) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6982)  $false
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6982) is inconsistent.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6983)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6983) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6984)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6952), (6984) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1145.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6985)  all_25_18 = e10 & op1(e12, e10) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6985) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6986)  all_25_18 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6987)  op1(e12, e10) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6988)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6988) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6989)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (6825), (6838), (6840), (6845), (6934),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6989) are inconsistent by sub-proof #1164.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6990)  all_25_7 = e11 & op1(e12, e13) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6991)  all_25_7 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (6832), (6967), (6991) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6992)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6992) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6993)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6994)  all_25_8 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6995)  op1(e12, e12) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6972) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6996)  op1(e12, e13) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e10, e10, e12,
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (6987) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6997)  all_14_22 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_12, e11, e12, e12,
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (215), (6995) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6998)  all_14_12 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_7, e14, e13, e12,
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (216), (6996) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6999)  all_14_7 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6838), (6998) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7000)   ~ (e13 = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6955), (6998) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7001)   ~ (e12 = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (6997) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7002)   ~ (all_14_20 = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (6997) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7003)   ~ (e13 = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6959), (6997) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7004)   ~ (e12 = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7005)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7005) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7006)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7006) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7007)  all_25_9 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7008)  op1(e14, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (29), (30), (31),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (42), (43), (44), (60), (127), (204),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (207), (210), (212), (215), (217), (224),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (495), (506), (507), (508), (509), (510),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (707), (717), (726), (728),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (737), (739), (742), (748), (755), (759), (790),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (843), (847), (856), (858), (863), (5908),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5909), (6819), (6825), (6827), (6831), (6832),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6941), (6952), (6957),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6994), (7007), (7008) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #42.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7009)  all_25_10 = e10 & op1(e13, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (7009) are inconsistent by sub-proof #1092.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7010)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7010) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7011)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (6952), (7011) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1145.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7012)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7012) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7013)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6941), (7013) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1157.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7014)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7014) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7015)  all_25_23 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7016)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7016) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7017)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7017) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7018)  all_25_9 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7019)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7019) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7020)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7020) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7021)  all_25_0 = e10
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7022)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7022) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7023)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7023) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7024)  all_25_0 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (223), (508), (509), (510), (511), (517),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (6845), (7002), (7018), (7024) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1132.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7025)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (7025) are inconsistent by sub-proof
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7026)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7026) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7027)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (6845), (7027) are inconsistent by sub-proof
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1236.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7028)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7028) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7029)  all_25_9 = e14 & op1(e14, e11) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (7029) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7030)  all_25_16 = e14 & op1(e14, e10) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7030) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7031)  all_25_16 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7032)  op1(e14, e10) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7033)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (223), (719), (844), (7033) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7034)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7034) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7035)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7035) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7036)  all_25_18 = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (28), (29), (30), (31), (32), (33),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (508), (509), (510),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (7032), (7036) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7037)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7037) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7038)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7038) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7039)  op1(e11, e10) = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (29), (31), (33), (42), (43), (60),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (6987), (7039) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #140.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7040)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7040) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7041)  all_25_24 = e12
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7042)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e11 & op1(e10, e13) = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (28), (29), (30),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (42), (43), (44), (60), (204),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (223), (224), (484), (485),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (506), (508), (509), (510), (511), (523),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (719), (726), (728), (739), (742), (748),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (790), (818), (843), (844), (847), (863),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5909), (6825), (6831), (6832), (6838), (6840),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6845), (7021), (7031), (7042) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #57.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7043)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7043) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7044)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7044) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7045)  all_25_22 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7046)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7046) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7047)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7047) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7048)  all_25_4 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6845), (7048) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7049)  e14 = e13
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7049) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7050)  e14 = e13
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7031), (7050) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7051)  all_25_16 = e13
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (205), (210), (215), (223), (224), (506),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (509), (510), (511), (517), (519), (523),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (742), (755), (790),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (6825), (6838), (6840), (7002),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7051) are inconsistent by sub-proof #975.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7052)  all_25_5 = e14 & op1(e13, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7052) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7053)  op1(e13, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (739), (7053) are inconsistent by
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7054)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7054) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7055)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7055) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7056)  all_25_8 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6994), (7056) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7057)  e14 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7057) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7058)  e14 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7031), (7058) imply:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7059)  all_25_16 = e11
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (6845), (7021), (7059) are
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1219.
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7060)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7060) gives:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7061)  all_25_14 = e14 & op1(e11, e12) = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7062)  all_25_14 = e14
% 239.60/46.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (212), (491), (508),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (707), (726),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (818), (843), (847),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (858), (863), (5909), (6831), (6832), (6941),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7062) are inconsistent by sub-proof #43.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7063)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7063) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7064)  all_25_22 = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7045), (7064) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7065)  e14 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7065) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7066)  e14 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7031), (7066) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7067)  all_25_16 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (6845), (7021), (7067) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1219.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7068)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7068) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7069)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7015), (7069) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #120.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7070)  all_25_24 = e11 & op1(e10, e10) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7071)  all_25_24 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7041), (7071) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #75.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7072)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7072) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7073)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7073) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7074)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7074) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7075)  all_25_4 = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (7075) are inconsistent by sub-proof
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7076)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7076) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7077)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7077) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7078)  all_25_9 = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7079)  op1(e14, e11) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (29), (30), (31),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (42), (43), (44), (60), (127), (204),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (207), (210), (212), (215), (217), (224),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (495), (506), (507), (508), (509), (510),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (512), (515), (707), (717), (726), (728),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (737), (739), (742), (748), (755), (759), (790),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (843), (847), (856), (858), (863), (5908),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5909), (6819), (6825), (6827), (6831), (6832),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (6941), (6952), (6957),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6994), (7078), (7079) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #42.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7080)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (223), (7002), (7080) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1232.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7081)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (7081) are inconsistent by sub-proof
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7082)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7082) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7083)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6952), (7083) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1149.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7084)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7084) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7085)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (6825), (6838), (6840), (6845), (6941),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7085) are inconsistent by sub-proof #1107.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7086)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7015), (7086) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #120.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7087)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7087) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7088)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (6952), (7088) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1149.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7089)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7089) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7090)  all_25_18 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (6986), (7090) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1066.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7091)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (739), (6832), (6967), (7091) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7092)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6831),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (7092) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7093)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7093) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7094)  all_25_15 = e12 & op1(e11, e11) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (6941), (7094) are inconsistent by sub-proof
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1088.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7095)  all_25_23 = e12 & op1(e10, e11) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7095) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7096)  all_25_23 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7097)  op1(e10, e11) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7098)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7098) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7099)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7099) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7100)  all_25_20 = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7101)  op1(e10, e14) = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e12, e11, e10,
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (7097) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7102)  all_14_19 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e10, e14, e10,
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (7101) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7103)  all_14_4 = e10
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (7103) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7104)   ~ (all_14_0 = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (7103) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7105)   ~ (all_14_3 = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6823), (7103) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7106)   ~ (e13 = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (7103) imply:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7107)   ~ (e12 = e10)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7108)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e12 & op1(e11, e13) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (212), (508), (509), (510), (511), (512),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (858), (6831), (6832), (7108) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7109)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7109) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7110)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7110) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7111)  all_25_14 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7112)  op1(e11, e12) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_13, e12, e12, e11,
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (210), (7112) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7113)  all_14_13 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7114)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (217), (709), (856), (7114) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7115)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7115) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7116)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7116) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7117)  all_25_8 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7118)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e12) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (726), (6825), (6838), (6840), (7118) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1080.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7119)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7119) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7120)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7120) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7121)  all_25_8 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7117), (7121) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1003.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7122)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7122) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7123)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7111), (7123) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1108.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7124)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7124) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7125)  all_25_22 = e11
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7126)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (43), (60), (739), (6845), (7126) are
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #45.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7127)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7127) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7128)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (7117), (7128) are inconsistent by sub-proof
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #395.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7129)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7129) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7130)  all_25_14 = e14 & op1(e11, e12) = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7130) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7131)  all_25_14 = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (212), (491), (508),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (707), (726),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (818), (843), (847),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (858), (863), (5909), (6831), (6832), (6941),
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7131) are inconsistent by sub-proof #43.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7132)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7125), (7132) are inconsistent by
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7133)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7133) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7134)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7134) implies:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7135)  all_25_11 = e12
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7136)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7136) gives:
% 239.60/46.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7137)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7137) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7138)  all_25_9 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7139)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (7138), (7139) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #40.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7140)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7140) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7141)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (7135), (7141) are
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1145.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7142)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7142) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7143)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6941), (7143) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1157.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7144)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7144) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7145)  all_25_23 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7145) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7146)  e12 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7146) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7147)  e12 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (847), (7147) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7148)  all_25_2 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (7148) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1281.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7149)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (7149) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7150)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7150) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7151)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7135), (7151) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1149.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7152)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (707), (6825), (6838), (6840), (6845),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6941), (7096), (7152) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #39.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7153)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7153) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7154)  all_25_18 = e12
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7155)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7155) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7156)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7156) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7157)  all_25_0 = e14
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7158)  op1(e14, e14) = e14
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7159)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7159) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7160)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7157), (7160) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7161)  all_25_2 = e11 & op1(e13, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (7161) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7162)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7162) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7163)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7163) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7164)  all_25_6 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6934), (7164) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7165)  e13 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (6825), (6838), (6840), (6845), (7165) are
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1172.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7166)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7166) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7167)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7167) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7168)  op1(e11, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_3, e11, e14, e11,
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (212), (7168) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7169)  all_14_3 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, e14, e14, e14,
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (227), (7158) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7170)  all_14_0 = e14
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6948), (7169) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7171)   ~ (e13 = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (7169) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7172)   ~ (e12 = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7173)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7173) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7174)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7174) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7175)  all_25_9 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7176)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (7175), (7176) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #40.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7177)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7177) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7178)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7178) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7179)  all_25_11 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7180)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7180) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7181)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (7157), (7181) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1134.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7182)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7182) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7183)  all_25_1 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (7183) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7184)  e12 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (7184) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7185)  $false
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7185) is inconsistent.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7186)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7186) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7187)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7187) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7188)  all_25_4 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (7188) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7189)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7189) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7190)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7190) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7191)  all_25_9 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (224), (495), (496), (508), (509),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (717), (726), (728), (739),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (759), (847), (6941), (7179), (7191) are
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #438.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7192)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7192) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7193)  op1(e14, e10) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (29), (31), (33), (42), (43), (60),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (7193) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7194)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (205), (210), (215), (506), (510), (511),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (790), (843), (847), (6825), (6838),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6941), (7096), (7194) are
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #38.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7195)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (7195) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7196)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7196) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7197)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7197) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7198)  all_25_11 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7199)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e10 & op1(e13, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7199) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7200)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7200) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7201)  all_25_9 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7202)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e13) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7203)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7157), (7203) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7204)  all_25_1 = e11 & op1(e14, e13) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (755), (7204) are inconsistent by sub-proof
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7205)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7205) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7206)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7206) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7207)  all_25_4 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (6825), (6838), (6840), (7207) are
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1239.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7208)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e11 & op1(e14, e10) = e11)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7208) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7209)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7209) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7210)  all_25_9 = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7201), (7210) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7211)  e11 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7211) implies:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7212)  e11 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7198), (7212) imply:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7213)  all_25_11 = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (495), (707), (726), (728), (759), (6941),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7096), (7201), (7213) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #439.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7214)  all_25_16 = e11 & op1(e14, e10) = e11
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (29), (31), (33), (42), (43), (60),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (818), (863), (7214) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #124.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7215)  all_25_10 = e10 & op1(e13, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (511), (707), (726),
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (7215) are inconsistent by sub-proof #1092.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7216)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7216) gives:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7217)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7198), (7217) are inconsistent by
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #144.
% 239.60/46.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7218)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (205), (210), (215), (506), (510), (511),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (790), (843), (847), (6825), (6838),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (6941), (7096), (7218) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #38.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7219)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (43), (60), (205), (210), (215),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (707), (6825), (6838), (6840), (6845),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6941), (7096), (7219) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #39.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7220)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7100), (7220) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1123.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7221)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (7221) are inconsistent by sub-proof
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7222)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7222) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7223)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (6845), (7223) are inconsistent by sub-proof
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1236.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7224)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7224) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7225)  all_25_9 = e14 & op1(e14, e11) = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (7225) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7226)  all_25_16 = e14 & op1(e14, e10) = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7226) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7227)  op1(e14, e10) = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (28), (29), (30), (31), (32), (33),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (508), (509), (510),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (7154), (7227) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7228)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (508), (509), (510),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (6941), (7228) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #44.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7229)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6831),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6838), (6840), (6845), (7229) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7230)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7230) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7231)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7231) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7232)  op1(e10, e12) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_14, e10, e12, e10,
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (7232) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7233)  all_14_14 = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (7233) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7234)  $false
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7234) is inconsistent.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7235)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (7096), (7235) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7236)  all_25_23 = e13 & op1(e10, e11) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (6827), (7236) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1253.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7237)  all_25_7 = e13 & op1(e12, e13) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7237) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7238)  all_25_7 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7239)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7239) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7240)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7240) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7241)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (6845), (7238), (7241) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1119.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7242)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7243)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7243) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7244)  all_25_13 = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (6832), (7238), (7244) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1272.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7245)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7245) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7246)  op1(e10, e13) = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, e13, e13, e10,
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6832), (7246) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7247)  e13 = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6845), (7247) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7248)  all_25_4 = e10
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (210), (215), (506), (510), (511), (728),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (790), (843), (847), (6825), (6838),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6840), (7248) are inconsistent by sub-proof
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7249)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7249) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7250)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (215), (6838), (7250) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1245.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7251)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7252)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (6931), (7252) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1228.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7253)  all_25_18 = e13 & op1(e12, e10) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (213), (828), (7253) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #976.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7254)  all_25_5 = e13 & op1(e13, e12) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7254) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7255)  op1(e13, e12) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (7255) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7256)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7256) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7257)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (215), (6838), (7257) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1245.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7258)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (210), (6825), (6840), (7258) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1243.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7259)   ~ (all_18_2 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (7259) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7260)   ~ (all_14_10 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7261)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e13) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7262)  all_25_0 = e13 & op1(e14, e14) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7262) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7263)  all_25_0 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7264)  op1(e14, e14) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, e13, e14, e14,
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (227), (7264) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7265)  all_14_0 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (7265) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7266)   ~ (all_14_2 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7266) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7267)   ~ (all_14_2 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (7265) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7268)   ~ (all_14_4 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (7265) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7269)   ~ (all_14_10 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (7265) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7270)   ~ (all_14_15 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (196), (7265) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7271)   ~ (all_14_20 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7272)  all_18_12 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (7272) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7273)  all_14_12 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7273) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7274)  all_14_12 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7274) imply:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7275)   ~ (all_14_17 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7275) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7276)   ~ (all_14_17 = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7277)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (224), (225), (508), (509), (510),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (517), (519), (523), (707), (726), (728),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (742), (755), (790), (843), (847),
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7277) are inconsistent by sub-proof #156.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7278)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7279)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (7276), (7279) are inconsistent by
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1228.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7280)  (all_25_15 = e13 & op1(e11, e11) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7281)  all_25_15 = e13 & op1(e11, e11) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7282)  all_25_15 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7283)  op1(e11, e11) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7284)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e12) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (225), (7260), (7284) are
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #37.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7285)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7285) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7286)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7286) implies:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7287)  all_25_8 = e13
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7288)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (755), (7263), (7288) are inconsistent
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1237.
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7289)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7289) gives:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7290)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7290) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7291)  all_25_4 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7292)  op1(e14, e12) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e14, e12, e14,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (7292) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7293)  all_14_10 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7293) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7294)   ~ (all_14_14 = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7294) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7295)   ~ (all_14_14 = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7296)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (224), (717), (7296) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7297)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7297) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7298)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7298) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7299)  all_25_11 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7300)  op1(e12, e11) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (33), (42),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (206), (212), (214),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (482), (484), (491), (495), (504), (508),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (517), (707),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (713), (726), (728), (731), (739), (744), (748),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (843), (847), (858),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5908), (5909), (6831), (6832), (7263),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7276), (7282), (7287), (7291), (7299), (7300) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #32.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7301)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7301) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7302)  all_25_15 = e12 & op1(e11, e11) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7282), (7302) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1088.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7303)  all_25_23 = e12 & op1(e10, e11) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7304)  all_25_23 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7305)  op1(e10, e11) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7306)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7306) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7307)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7307) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7308)  all_25_20 = e10
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7309)  op1(e10, e14) = e10
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7310)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (739), (6832), (7308), (7310) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1210.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7311)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7311) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7312)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7312) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7313)  all_25_22 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7314)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (7314) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7315)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7315) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7316)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7287), (7316) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7317)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7318)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7319)  all_25_14 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7320)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e12) = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7320) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7321)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7291), (7321) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #921.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7322)  all_25_5 = e11 & op1(e13, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (726), (7322) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7323)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7323) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7324)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7287), (7324) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #444.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7325)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7325) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7326)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7319), (7326) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1108.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7327)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7327) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7328)  all_25_22 = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7313), (7328) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #123.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7329)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (7313), (7329) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7330)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7330) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7331)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7331) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7332)  op1(e10, e11) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (7332) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7333)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7333) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7334)  all_25_24 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7335)  op1(e10, e10) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7336)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e11 & op1(e10, e13) = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7336) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7337)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7308), (7337) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1123.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7338)  all_25_21 = e11 & op1(e10, e13) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (6831), (7338) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #425.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7339)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7339) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7340)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7340) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7341)  all_25_22 = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7342)  op1(e10, e12) = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7343)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (7343) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7344)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7344) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7345)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7287), (7345) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7346)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7346) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7347)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7347) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7348)  op1(e11, e12) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_24, e14, e10, e10,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (7335) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7349)  all_14_24 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e12, e11, e10,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (7305) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7350)  all_14_19 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_14, e11, e12, e10,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (7342) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7351)  all_14_14 = e11
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e10, e14, e10,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (7309) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7352)  all_14_4 = e10
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_13, e12, e12, e11,
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (210), (7348) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7353)  all_14_13 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6823), (7352) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7354)   ~ (e13 = e10)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (7350), (7351) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7355)   ~ (e12 = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6825), (7351) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7356)   ~ (e13 = e11)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7357)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7357) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7358)  all_25_6 = e12 & op1(e12, e14) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7358) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7359)  all_25_6 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7360)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (223), (719), (844), (7360) are
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7361)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7361) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7362)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7362) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7363)  all_25_18 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7364)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e12, e13) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7364) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7365)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7365) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7366)  all_25_6 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7359), (7366) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7367)  e14 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (7367) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7368)  $false
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7368) is inconsistent.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7369)  all_25_7 = e14 & op1(e12, e13) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7369) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7370)  all_25_7 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (517), (519), (707),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (731), (739), (755), (790), (818),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (6831), (6832), (7263),
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7291), (7370) are inconsistent by sub-proof #30.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7371)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e14 & op1(e12, e11) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7371) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7372)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (7287), (7372) are inconsistent by sub-proof
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #918.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7373)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e14 & op1(e12, e10) = e14)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7373) gives:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7374)  all_25_11 = e14 & op1(e12, e11) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (214), (744), (7374) are inconsistent by
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7375)  all_25_18 = e14 & op1(e12, e10) = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7376)  all_25_18 = e14
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7363), (7376) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7377)  e14 = e12
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (7377) imply:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7378)  $false
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7378) is inconsistent.
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7379)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (508), (509), (510),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (7334), (7379) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #69.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7380)  all_25_7 = e12 & op1(e12, e13) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7380) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7381)  op1(e12, e13) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (7381) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7382)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7383)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7287), (7383) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7384)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7384) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7385)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7385) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7386)  all_25_11 = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (204), (206), (225),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (482), (484), (495), (508), (509), (510), (511),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (517), (707), (713), (726), (728), (731), (739),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (748), (755), (759), (790), (818), (843), (847),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5908), (6831), (6832), (7263), (7282),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7341), (7342), (7386) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #33.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7387)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7387) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7388)  all_25_18 = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7389)  op1(e12, e10) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (485), (508), (509),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (726), (728), (739), (790),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (843), (847), (863), (5909), (7334),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7388), (7389) are inconsistent by sub-proof #70.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7390)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7391)  op1(e10, e12) = e12
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (707), (7342), (7391) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #118.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7392)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7392) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7393)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7304), (7393) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7394)  all_25_24 = e11 & op1(e10, e10) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7334), (7394) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7395)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7395) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7396)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7396) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7397)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7398)  all_25_22 = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (225), (504), (505), (507), (508), (509),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (715), (726), (728), (739),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (7287), (7398) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7399)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (7304), (7399) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7400)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7400) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7401)  all_25_9 = e14 & op1(e14, e11) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (7401) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7402)  all_25_16 = e14 & op1(e14, e10) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7402) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7403)  all_25_16 = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7404)  op1(e14, e10) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7405)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7405) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7406)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7406) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1246.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7407)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7407) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7408)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7408) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7409)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7409) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7410)  op1(e14, e12) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (7410) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7411)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7411) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7412)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7412) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7413)  all_25_9 = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7414)  op1(e14, e11) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7415)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e13) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7415) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7416)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7263), (7416) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7417)  all_25_1 = e11 & op1(e14, e13) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (755), (7417) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7418)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7418) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7419)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7419) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7420)  all_25_4 = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7421)  op1(e14, e12) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_20, e14, e10, e14,
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (223), (7404) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7422)  all_14_20 = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_15, e10, e11, e14,
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (224), (7414) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7423)  all_14_15 = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e11, e12, e14,
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (7421) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7424)  all_14_10 = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7260), (7424) imply:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7425)   ~ (e13 = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7424) imply:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7426)   ~ (e12 = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (7423) imply:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7427)   ~ (all_14_19 = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7427) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7428)   ~ (all_14_19 = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6819), (7423) imply:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7429)   ~ (e13 = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (7423) imply:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7430)   ~ (e12 = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7431)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7431) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7432)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7432) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7433)  all_25_20 = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7434)  op1(e10, e14) = e10
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7435)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7436)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7403), (7420), (7433),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7436) are inconsistent by sub-proof #27.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7437)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7437) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7438)  op1(e10, e13) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (29), (31), (33), (43), (60),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (818), (863), (7428), (7438) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #164.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7439)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7440)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7441)  all_25_22 = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7442)  op1(e10, e12) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (45), (60), (204), (205), (210), (216),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (432), (489), (495), (496), (499),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (500), (501), (505), (508), (509), (510), (511),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (517), (518), (522), (523), (707),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (709), (715), (717), (726), (728), (731), (735),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (742), (748), (755), (759), (790), (818),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (863), (6819), (6825),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6832), (7263), (7264), (7282), (7283),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7287), (7403), (7413), (7414), (7420), (7421),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7428), (7433), (7434), (7441), (7442) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #16.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7443)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7443) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7444)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7444) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7445)  op1(e10, e11) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (7445) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7446)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7446) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7447)  all_25_24 = e14
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7448)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e11 & op1(e10, e13) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7448) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7449)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7433), (7449) are inconsistent by
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1123.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7450)  all_25_21 = e11 & op1(e10, e13) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (6831), (7450) are inconsistent by sub-proof
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #425.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7451)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7451) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7452)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (29), (43), (60), (204), (225),
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (715), (818), (7428), (7452) are
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7453)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7453) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7454)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7454) implies:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7455)  all_25_23 = e11
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7456)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12)
% 239.60/46.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (224), (717), (7456) are
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7457)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7457) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7458)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7458) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7459)  all_25_11 = e12
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7460)  op1(e12, e11) = e12
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7461)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7461) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7462)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7462) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7463)  all_25_4 = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (33), (42),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (60), (204), (206), (212), (214),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (482), (484), (491), (495), (504), (508),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (517), (707),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (713), (726), (728), (731), (739), (744), (748),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (755), (759), (790), (818), (843), (847), (858),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5908), (5909), (6831), (6832), (7263),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7276), (7282), (7287), (7459), (7460), (7463) are
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #32.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7464)  all_25_5 = e14 & op1(e13, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7464) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7465)  op1(e13, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (739), (7465) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7466)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7466) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7467)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (7287), (7467) are inconsistent by sub-proof
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #918.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7468)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7469)  all_25_14 = e14 & op1(e11, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7470)  all_25_14 = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (212), (491), (508),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (512), (515), (707), (726),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (818), (843), (847),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (858), (863), (5909), (6831), (6832), (7282),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7470) are inconsistent by sub-proof #43.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7471)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7471) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7472)  all_25_22 = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7473)  op1(e10, e12) = e14
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (30), (31), (32), (33), (42), (43),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (45), (60), (204), (205), (210), (216),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (432), (489), (495), (496), (499),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (500), (501), (505), (508), (509), (510), (511),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (515), (517), (518), (522), (523), (707),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (709), (715), (717), (726), (728), (731), (735),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (742), (748), (755), (759), (790), (818),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (863), (6819), (6825),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6832), (7263), (7264), (7282), (7283),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7287), (7403), (7413), (7414), (7420), (7421),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7428), (7433), (7434), (7472), (7473) are
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #16.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7474)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (707), (7282), (7455), (7474) are
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #443.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7475)  all_25_24 = e11 & op1(e10, e10) = e11
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7447), (7475) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7476)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7476) are inconsistent by sub-proof
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7477)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7477) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7478)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7478) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7479)  all_25_22 = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (225), (504), (505), (507), (508), (509),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (715), (726), (728), (739),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (7287), (7479) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7480)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7480) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7481)  op1(e10, e11) = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (7428), (7481) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1267.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7482)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e11 & op1(e14, e10) = e11)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (726), (728), (731),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (818), (843), (847), (863),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7404), (7482) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #15.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7483)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (739), (7404), (7483) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7484)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7484) gives:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7485)  all_25_14 = e13 & op1(e11, e12) = e13
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7485) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7486)  all_25_14 = e13
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (209), (210), (489), (490), (491), (493),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (509), (510), (511), (512), (515), (707),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (735), (739), (746), (755), (790),
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (6831), (6832), (7282), (7486) are
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #387.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7487)  all_25_22 = e13 & op1(e10, e12) = e13
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7487) implies:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7488)  op1(e10, e12) = e13
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (6825), (7488) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1254.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7489)  all_25_23 = e13 & op1(e10, e11) = e13
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (6827), (7489) are inconsistent by
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1253.
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.60/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7490)   ~ (all_18_12 = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (7490) imply:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7491)   ~ (all_14_12 = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7492)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e12) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (225), (7260), (7492) are
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #37.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7493)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7493) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7494)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (215), (7491), (7494) are inconsistent by
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1245.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7495)  (all_25_14 = e13 & op1(e11, e12) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e13 & op1(e10, e12) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7495) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7496)  all_25_14 = e13 & op1(e11, e12) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7496) implies:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7497)  all_25_14 = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7498)  op1(e11, e12) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7499)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e12, e13) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (217), (508), (509), (510), (511), (512),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (6831), (6832), (7267), (7499) are
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7500)  (all_25_8 = e13 & op1(e12, e12) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7500) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7501)  all_25_8 = e13 & op1(e12, e12) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (215), (7491), (7501) are inconsistent by
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1245.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7502)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e13 & op1(e12, e10) = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7502) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7503)  all_25_11 = e13 & op1(e12, e11) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7503) implies:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7504)  all_25_11 = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7505)  op1(e12, e11) = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_13, e13, e12, e11,
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (210), (7498) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7506)  all_14_13 = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_17, e13, e11, e12,
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (214), (7505) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7507)  all_14_17 = e13
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (7507) imply:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7508)   ~ (all_14_7 = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (7507) imply:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7509)   ~ (all_14_18 = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7509) implies:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7510)   ~ (all_14_18 = e13)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7511)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e12 & op1(e11, e13) = e12)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (212), (508), (509), (510), (511), (512),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (858), (6831), (6832), (7511) are
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7512)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7512) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7513)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7497), (7513) are inconsistent by sub-proof
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7514)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e12 & op1(e11, e10) = e12)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7514) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7515)  all_25_15 = e12 & op1(e11, e11) = e12
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7515) implies:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7516)  all_25_15 = e12
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7517)  op1(e11, e11) = e12
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_18, e12, e11, e11,
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (7517) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7518)  all_14_18 = e12
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7518) imply:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7519)   ~ (all_14_19 = e12)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7519) implies:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7520)   ~ (all_14_19 = e12)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7521)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e13) = e14)
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (755), (7263), (7521) are inconsistent
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1237.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7522)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7522) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7523)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7523) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7524)  all_25_4 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7525)  op1(e14, e12) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e14, e12, e14,
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (7525) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7526)  all_14_10 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7527)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e12, e13) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7527) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7528)  all_25_6 = e12 & op1(e12, e14) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7528) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7529)  op1(e12, e14) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_2, e12, e14, e12,
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (217), (7529) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7530)  all_14_2 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (7530) imply:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7531)  $false
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7531) is inconsistent.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7532)  all_25_7 = e12 & op1(e12, e13) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7532) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7533)  op1(e12, e13) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (216), (709), (7533) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7534)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7534) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7535)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7535) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7536)  all_25_8 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (225),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (484), (485), (486), (495), (504), (508), (509),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (719), (726), (728),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (748), (755), (759), (790), (818),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (863), (5908), (5909),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6832), (7263), (7497), (7504), (7516),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7524), (7536) are inconsistent by sub-proof #12.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7537)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7537) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7538)  all_25_11 = e12 & op1(e12, e11) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7504), (7538) are inconsistent by sub-proof
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1025.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7539)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7539) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7540)  all_25_18 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7541)  op1(e12, e10) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_22, e12, e10, e12,
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (213), (7541) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7542)  all_14_22 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7543)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (7543) are
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7544)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7544) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7545)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7545) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7546)  all_25_8 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (225),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (484), (485), (486), (495), (504), (508), (509),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (719), (726), (728),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (748), (755), (759), (790), (818),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (863), (5908), (5909),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6832), (7263), (7497), (7504), (7516),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7524), (7546) are inconsistent by sub-proof #12.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7547)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7547) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7548)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7497), (7548) are inconsistent by sub-proof
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7549)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7549) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7550)  all_25_22 = e12
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7551)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7552)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (7552) are inconsistent by sub-proof
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7553)  all_25_3 = e14 & op1(e13, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (7553) are inconsistent by sub-proof
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7554)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7554) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7555)  all_25_7 = e14 & op1(e12, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7555) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7556)  all_25_7 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (512), (515), (517), (519), (707),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (731), (739), (755), (790), (818),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (863), (6831), (6832), (7263),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7524), (7556) are inconsistent by sub-proof #30.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7557)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7557) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7558)  all_25_13 = e14 & op1(e11, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7559)  all_25_13 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7560)  op1(e11, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7561)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7561) are
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7562)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7562) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7563)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7563) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7564)  op1(e12, e13) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_8, e14, e13, e11,
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (211), (7560) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7565)  all_14_8 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_7, e10, e13, e12,
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (216), (7564) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7566)  all_14_7 = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7508), (7566) imply:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7567)   ~ (e13 = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (7566) imply:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7568)   ~ (e12 = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (7566) imply:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7569)   ~ (e11 = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7570)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7571)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7571) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7572)  all_25_20 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7573)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7573) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7574)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (7572), (7574) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7575)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7575) are inconsistent by sub-proof
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7576)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7576) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7577)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (7550), (7577) are
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7578)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7578) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7579)  all_25_23 = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (495), (508),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (517), (707), (726), (728),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (755), (759), (790), (818), (843),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (7263), (7504), (7516), (7579) are
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #14.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7580)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7580) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7581)  op1(e10, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7581) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7582)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7582) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7583)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (6831), (6832), (7550), (7559), (7583) are
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7584)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7584) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7585)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7585) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7586)  op1(e10, e11) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (7586) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7587)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7587) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7588)  all_25_24 = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (485), (508), (509),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (726), (728), (739), (790),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (843), (847), (863), (5909), (7540),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7541), (7588) are inconsistent by sub-proof #70.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7589)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7589) gives:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7590)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (7559), (7590) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1159.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7591)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7591) are inconsistent by sub-proof #934.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7592)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7592) implies:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7593)  op1(e10, e13) = e14
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7593) are inconsistent by
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7594)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7594) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7595)  all_25_9 = e14 & op1(e14, e11) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (742), (7595) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7596)  all_25_16 = e14 & op1(e14, e10) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7596) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7597)  all_25_16 = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7598)  op1(e14, e10) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7599)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e13) = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7599) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7600)  all_25_0 = e10 & op1(e14, e14) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7600) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1246.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7601)  all_25_1 = e10 & op1(e14, e13) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7601) are
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7602)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7602) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7603)  all_25_4 = e10 & op1(e14, e12) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7603) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7604)  op1(e14, e12) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (7604) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7605)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7605) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7606)  all_25_9 = e10 & op1(e14, e11) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7606) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7607)  all_25_9 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7608)  op1(e14, e11) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7609)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e11 & op1(e13, e11) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7609) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7610)  all_25_9 = e11 & op1(e14, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (726), (728), (731),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (818), (843), (847), (863),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7610) are inconsistent by sub-proof #36.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7611)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (759), (7611) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #382.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7612)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7612) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7613)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7504), (7613) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #423.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7614)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7614) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7615)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7516), (7615) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7616)  all_25_23 = e11 & op1(e10, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7616) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7617)  all_25_23 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7618)  op1(e10, e11) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7619)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e13) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7619) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7620)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7263), (7620) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7621)  all_25_1 = e11 & op1(e14, e13) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (755), (7621) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7622)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7622) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7623)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7623) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7624)  all_25_4 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7625)  op1(e14, e12) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7626)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7626) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7627)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7627) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7628)  all_25_20 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7629)  op1(e10, e14) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_19, e11, e11, e10,
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (7618) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7630)  all_14_19 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_4, e10, e14, e10,
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (7629) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7631)  all_14_4 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_20, e14, e10, e14,
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (223), (7598) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7632)  all_14_20 = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_15, e10, e11, e14,
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (224), (7608) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7633)  all_14_15 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_10, e11, e12, e14,
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (225), (7625) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7634)  all_14_10 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (7630), (7633) imply:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7635)   ~ (e11 = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6819), (7633) imply:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7636)   ~ (e13 = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (7633) imply:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7637)   ~ (e12 = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6827), (7630) imply:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7638)   ~ (e13 = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7520), (7630) imply:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7639)   ~ (e12 = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7640)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7640) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7641)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7628),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7641) are inconsistent by sub-proof #27.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7642)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7642) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7643)  op1(e10, e13) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7643) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7644)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7645)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7645) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7646)  all_25_22 = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7647)  op1(e10, e12) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7648)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e12 & op1(e10, e13) = e12)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (206), (508), (509), (510), (511), (707),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (713), (726), (728), (739), (847), (7628), (7648)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1211.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7649)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e12 & op1(e10, e11) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7649) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7650)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (7646), (7650) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7651)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7651) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7652)  all_25_23 = e12 & op1(e10, e11) = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7652) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7653)  all_25_23 = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7617), (7653) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1262.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7654)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7654) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7655)  all_25_24 = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7656)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (7656) are
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7657)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7657) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7658)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7658) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7659)  all_25_8 = e12
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7660)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e13) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7660) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7661)  all_25_1 = e14 & op1(e14, e13) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (755), (7661) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7662)  all_25_3 = e14 & op1(e13, e13) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (790), (7662) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7663)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7663) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7664)  all_25_7 = e14 & op1(e12, e13) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7665)  all_25_7 = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7666)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e12, e13) = e10)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7666) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7667)  all_25_6 = e10 & op1(e12, e14) = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7667) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7668)  all_25_6 = e10
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7669)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (508), (509), (510), (511), (512),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (6831), (6832), (7263), (7665),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7669) are inconsistent by sub-proof #11.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7670)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7670) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7671)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7668),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7671) are inconsistent by sub-proof #24.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7672)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7672) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7673)  all_25_12 = e14 & op1(e11, e14) = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7673) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7674)  all_25_12 = e14
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7675)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e11 & op1(e11, e13) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7675) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7676)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7674), (7676) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #391.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7677)  all_25_13 = e11 & op1(e11, e13) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7677) implies:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7678)  all_25_13 = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (6831), (6832), (7678) are inconsistent by
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #446.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7679)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7679) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7680)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7497), (7680) are inconsistent by sub-proof
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #477.
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7681)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11)
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7681) gives:
% 239.80/46.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7682)  all_25_15 = e11 & op1(e11, e11) = e11
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7516), (7682) are inconsistent by
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7683)  all_25_19 = e11 & op1(e11, e10) = e11
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7683) implies:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7684)  op1(e11, e10) = e11
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7685)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7685) gives:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7686)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7687)  all_25_12 = e10
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7674), (7687) imply:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7688)  e14 = e10
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7597), (7688) imply:
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7689)  all_25_16 = e10
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7624), (7689) are
% 239.80/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7690)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7690) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7691)  all_25_13 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (10), (28), (29), (30), (31), (32),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (224), (509), (510),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (518), (522), (523), (707), (726), (728),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (742), (755), (790), (818), (847), (863),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6832), (7263), (7597), (7624), (7628), (7647),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7665), (7668), (7691) are inconsistent by
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #22.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7692)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (210), (224), (495), (496), (508),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (707), (717), (726), (728),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (759), (847), (7504), (7607),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7684), (7692) are inconsistent by sub-proof #10.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7693)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7628),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7693) are inconsistent by sub-proof #9.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7694)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7665),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7694) are inconsistent by sub-proof #21.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7695)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7695) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7696)  all_25_8 = e10 & op1(e12, e12) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7696) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7697)  all_25_8 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (847), (7659), (7697) are
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1067.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7698)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e10 & op1(e12, e10) = e10)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7698) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7699)  all_25_11 = e10 & op1(e12, e11) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7699) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7700)  all_25_11 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7504), (7700) imply:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7701)  e13 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7701) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7702)  e13 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (7702) imply:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7703)  all_25_17 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (847), (7703)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1277.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7704)  all_25_18 = e10 & op1(e12, e10) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7704) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7705)  all_25_18 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7706)  op1(e12, e10) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7707)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (60), (728), (843), (7598), (7707) are
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #109.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7708)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7708) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7709)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7705), (7709) are inconsistent by
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #393.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7710)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7710) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7711)  all_25_19 = e11 & op1(e11, e10) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7711) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7712)  op1(e11, e10) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7713)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7713) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7714)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7714) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7715)  all_25_12 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7716)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7716) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7717)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7717) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7718)  all_25_6 = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7719)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (508), (509), (510), (511), (512),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (707), (726), (728), (739), (755), (790),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (847), (6831), (6832), (7263), (7665),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7719) are inconsistent by sub-proof #11.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7720)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7720) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7721)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7718), (7721) are inconsistent by
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1007.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7722)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7628),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7715), (7722) are inconsistent by sub-proof #26.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7723)  all_25_7 = e11 & op1(e12, e13) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (7665), (7723) are inconsistent by
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1151.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7724)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (707), (726), (7504), (7659), (7705), (7724)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7725)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7726)  all_25_13 = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7727)  op1(e11, e13) = e10
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7728)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e12, e13) = e11)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7728) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7729)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7729) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7730)  all_25_6 = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7731)  op1(e12, e14) = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7732)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (515), (707), (728),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (6832), (7263), (7665),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7726), (7732) are inconsistent by sub-proof #25.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7733)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7733) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7734)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7734) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7735)  all_25_6 = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7730), (7735) imply:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7736)  e14 = e11
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (6832), (7665), (7726), (7736) are
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #137.
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7737)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7737) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7738)  all_25_12 = e14 & op1(e11, e14) = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7738) implies:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7739)  op1(e11, e14) = e14
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7740)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7741)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7741) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7742)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7742) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7743)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_0) & $i(all_23_10) & $i(all_23_11)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7743) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7744)   ~ (all_23_10 = all_23_11)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7745)  op1(e13, e14) = all_23_10
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7746)  op1(e14, e13) = all_23_11
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (60), (863), (7744), (7745), (7746) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7747)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_2) & $i(all_23_20) & $i(all_23_21)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7747) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7748)  op1(e14, e12) = all_23_21
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7749)  op1(all_23_21, e12) = e14
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_23_21, e12, e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7625), (7748) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7750)  all_23_21 = e11
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7749), (7750) imply:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7751)  op1(e11, e12) = e14
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, e14, e12, e11,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7498), (7751) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7752)  e14 = e13
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (7752) imply:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7753)  $false
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7753) is inconsistent.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7754)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7754) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7755)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (748), (7608), (7755) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #998.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7756)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7756) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7757)  all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7757) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7758)   ~ (all_23_6 = e10)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7759)  op1(e10, e14) = all_23_46
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7760)  op1(e14, e10) = all_23_47
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7761)  op1(all_23_47, e14) = all_23_6
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_46, e14, e10,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7629), (7759) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7762)  all_23_46 = e10
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_47, e10, e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7598), (7760) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7763)  all_23_47 = e14
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7761), (7763) imply:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7764)  op1(e14, e14) = all_23_6
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e13, all_23_6, e14, e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7264), (7764) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7765)  all_23_6 = e13
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (29), (33), (42), (43), (60),
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (818), (856), (7629), (7647) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7766)  all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_8) & $i(all_23_10) & $i(all_23_11)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7766) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7767)   ~ (all_23_10 = all_23_11)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7768)  op1(e13, e14) = all_23_10
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7769)  op1(e14, e13) = all_23_11
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (60), (863), (7767), (7768), (7769) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7770)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7770) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7771)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7772)  all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_12) & $i(all_23_24) & $i(all_23_25)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7773)  op1(e13, e12) = all_23_25
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_25, e12, e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (7773) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7774)  all_23_25 = e10
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (29), (33), (42), (43), (60),
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (818), (856), (7629), (7647) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7775)  all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_14) & $i(all_23_36) & $i(all_23_37)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (60), (224), (6819), (7775) are inconsistent
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #997.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7776)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7776) gives:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7777)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7777) implies:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7778)   ~ (all_23_50 = all_23_51)
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7779)  op1(e10, e13) = all_23_50
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7780)  op1(e13, e10) = all_23_51
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (844), (6832), (7778), (7779), (7780) are
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7781)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7781) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7782)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7782) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7783)   ~ (all_23_20 = all_23_21)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7784)  op1(e12, e14) = all_23_20
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7785)  op1(e14, e12) = all_23_21
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (7625), (7731), (7783), (7784), (7785) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7786)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7786) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7787)  op1(e13, e12) = all_23_25
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_25, e12, e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (7787) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7788)  all_23_25 = e10
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (29), (33), (42), (43), (60),
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (818), (856), (7629), (7647) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7789)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7789) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7790)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7790) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7791)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7791) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7792)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7792) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7793)   ~ (all_23_40 = all_23_41)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7794)  op1(e11, e12) = all_23_40
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7795)  op1(e12, e11) = all_23_41
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (7498), (7505), (7793), (7794), (7795) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7796)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7796) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7797)  op1(e10, e12) = all_23_54
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7798)  op1(e12, e10) = all_23_55
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7799)  op1(all_23_55, e12) = all_23_28
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_54, e12, e10,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7647), (7797) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7800)  all_23_54 = e14
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_55, e10, e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7706), (7798) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7801)  all_23_55 = e10
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7799), (7801) imply:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7802)  op1(e10, e12) = all_23_28
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e14, all_23_28, e12, e10,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7647), (7802) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7803)  all_23_28 = e14
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (29), (33), (42), (43), (60),
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (818), (856), (7629), (7647) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7804)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7804) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7805)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7805) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7806)  op1(e11, e14) = all_23_32
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7807)  op1(all_23_32, e14) = e11
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (60), (7264), (7739), (7806), (7807) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7808)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7808) gives:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7809)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (60), (6832), (7727), (7809) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #991.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7810)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7810) implies:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7811)   ~ (all_23_40 = all_23_41)
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7812)  op1(e11, e12) = all_23_40
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7813)  op1(e12, e11) = all_23_41
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (7498), (7505), (7811), (7812), (7813) are
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7814)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7814) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7815)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7815) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7816)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7816) implies:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7817)   ~ (all_23_58 = all_23_59)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7818)  op1(e10, e11) = all_23_58
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7819)  op1(e11, e10) = all_23_59
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (29), (31), (33), (42), (43), (60),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (7817), (7818), (7819) are
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7820)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7820) implies:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7821)  op1(e10, e14) = all_23_46
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e10, all_23_46, e14, e10,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7629), (7821) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7822)  all_23_46 = e10
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (29), (33), (42), (43), (60),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (818), (856), (7629), (7647) are
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7823)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7823) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7824)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7825)   ~ (all_23_50 = all_23_51)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7826)  op1(e10, e13) = all_23_50
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7827)  op1(e13, e10) = all_23_51
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (844), (6832), (7825), (7826), (7827) are
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7828)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7828) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7829)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (731), (7647), (7829) are
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #76.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7830)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7830) implies:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7831)  op1(e10, e11) = all_23_58
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7832)  op1(all_23_58, e11) = e10
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e11, all_23_58, e11, e10,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7618), (7831) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7833)  all_23_58 = e11
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7832), (7833) imply:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7834)  op1(e11, e11) = e10
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e12, e10, e11, e11,
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7517), (7834) gives:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7835)  e12 = e10
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (7835) imply:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7836)  $false
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7836) is inconsistent.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7837)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7628),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7837) are inconsistent by sub-proof #27.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7838)  all_25_7 = e11 & op1(e12, e13) = e11
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7838) implies:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7839)  all_25_7 = e11
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (6832), (7726), (7839) are inconsistent by
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7840)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (707), (726), (7504), (7659), (7705), (7840)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7841)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (210), (224), (495), (496), (508),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (707), (717), (726), (728),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (735), (739), (759), (847), (7504), (7607),
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7712), (7841) are inconsistent by sub-proof #10.
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.85/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7842)  all_25_24 = e11 & op1(e10, e10) = e11
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7842) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7843)  all_25_24 = e11
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (7655), (7843) are inconsistent by
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #75.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7844)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7845)  all_25_13 = e14 & op1(e11, e13) = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7846)  all_25_13 = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7847)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7847) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7848)  all_25_12 = e10 & op1(e11, e14) = e10
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7848) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7849)  all_25_12 = e10
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7850)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e14) = e14)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7850) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7851)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7851) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7852)  all_25_0 = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7263), (7852) imply:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7853)  e14 = e13
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (512), (515),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (707), (726), (728), (739), (755), (790), (843),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (6831), (6832), (7846), (7853) are
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #431.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7854)  all_25_2 = e14 & op1(e13, e14) = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (509), (510), (707), (7854) are
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7855)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7855) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7856)  all_25_6 = e14 & op1(e12, e14) = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7856) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7857)  all_25_6 = e14
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7858)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e10 & op1(e13, e13) = e10)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (847), (7858) are
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1279.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7859)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7859) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7860)  all_25_7 = e10 & op1(e12, e13) = e10
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7860) implies:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7861)  all_25_7 = e10
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7862)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e11 & op1(e13, e14) = e11)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7862) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7863)  all_25_0 = e11 & op1(e14, e14) = e11
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (7263), (7863) are inconsistent by sub-proof
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7864)  all_25_2 = e11 & op1(e13, e14) = e11
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (847), (7864) are inconsistent by sub-proof
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7865)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7865) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7866)  all_25_6 = e11 & op1(e12, e14) = e11
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (515), (728), (739), (755),
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (790), (6832), (7846), (7857), (7861), (7866) are
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #942.
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7867)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e11 & op1(e10, e14) = e11)
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7867) gives:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7868)  all_25_12 = e11 & op1(e11, e14) = e11
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7869)  all_25_12 = e11
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (726), (7849), (7869) are inconsistent by
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7870)  all_25_20 = e11 & op1(e10, e14) = e11
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7870) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7871)  op1(e10, e14) = e11
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (10), (29), (31), (33), (42), (43),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (707), (818), (863), (7647), (7871) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7872)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7872) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7873)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7873) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7874)  all_25_13 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7846), (7874) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7875)  e14 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7597), (7875) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7876)  all_25_16 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7624), (7876) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7877)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7877) are inconsistent by sub-proof
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1256.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7878)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e14 & op1(e10, e14) = e14)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7878) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7879)  all_25_12 = e14 & op1(e11, e14) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7879) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7880)  all_25_12 = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7849), (7880) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7881)  e14 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7597), (7881) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7882)  all_25_16 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7624), (7882) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7883)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7628),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7883) are inconsistent by sub-proof #9.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7884)  all_25_13 = e10 & op1(e11, e13) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7884) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7885)  all_25_13 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7846),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7885) are inconsistent by sub-proof #18.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7886)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7886) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7887)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7887) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7888)  op1(e11, e12) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (210), (735), (7888) are inconsistent by
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7889)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7889) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7890)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7890) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7891)  all_25_15 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (42), (43),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (60), (224), (495), (496), (508), (509),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (707), (717), (726), (728), (739),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (759), (847), (7504), (7607), (7891) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #421.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7892)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (29), (31), (33), (42), (43), (60),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (818), (863), (7892) are inconsistent by sub-proof
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #115.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7893)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7893) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7894)  op1(e10, e13) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7894) are inconsistent by
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7895)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7895) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7896)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7497), (7896) are inconsistent by sub-proof
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7897)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (7646), (7897) are inconsistent by sub-proof
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7898)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (485),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (508), (509), (510), (511), (707), (719),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (748), (790), (818), (843),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (863), (5909), (7898) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #67.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7899)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (31), (32), (33), (43), (44), (60),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (728), (739), (790), (843), (847),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (7899) are inconsistent by sub-proof #934.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7900)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e10 & op1(e10, e11) = e10)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7900) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7901)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7901) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7902)  all_25_22 = e10
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7903)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e12) = e12)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (225), (715), (7903) are
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7904)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7904) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7905)  all_25_8 = e12 & op1(e12, e12) = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7905) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7906)  all_25_8 = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7907)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7907) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7908)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7908) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7909)  all_25_20 = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7910)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e14 & op1(e13, e12) = e14)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7910) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7911)  all_25_4 = e14 & op1(e14, e12) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7911) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7912)  all_25_4 = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (225),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (484), (485), (486), (495), (504), (508), (509),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (719), (726), (728),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (748), (755), (759), (790), (818),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (843), (844), (847), (863), (5908), (5909),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6832), (7263), (7497), (7504), (7516),
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7906), (7912) are inconsistent by sub-proof #12.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7913)  all_25_5 = e14 & op1(e13, e12) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7913) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7914)  op1(e13, e12) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (60), (739), (7914) are inconsistent by
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7915)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7915) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7916)  all_25_8 = e14 & op1(e12, e12) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7917)  all_25_8 = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7906), (7917) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7918)  e14 = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7918) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7919)  e14 = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7909), (7919) imply:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7920)  all_25_20 = e12
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7907) gives:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (7908), (7920) are inconsistent by sub-proof
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7921)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7921) implies:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7922)  op1(e10, e13) = e14
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7922) are inconsistent by
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.95/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7923)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7924)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7902),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7924) are inconsistent by sub-proof #7.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7925)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (485),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (508), (509), (510), (511), (707), (719),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (748), (790), (818), (843),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (863), (5909), (7925) are
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #67.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7926)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e14 & op1(e10, e12) = e14)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7926) gives:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7927)  all_25_14 = e14 & op1(e11, e12) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (7497), (7927) are inconsistent by sub-proof
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #461.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7928)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7902),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7928) are inconsistent by sub-proof #7.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7929)  all_25_21 = e14 & op1(e10, e13) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7929) implies:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7930)  op1(e10, e13) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (60), (6832), (7930) are inconsistent by
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7931)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7932)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (60), (224), (523), (728), (739),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (742), (755), (7263), (7597), (7624), (7902),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7932) are inconsistent by sub-proof #7.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7933)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (204), (223), (485),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (508), (509), (510), (511), (707), (719),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726), (728), (739), (748), (790), (818), (843),
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (844), (847), (863), (5909), (7933) are
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #67.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7934)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_22 = e12 & op1(e10, e12) = e12)
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7934) gives:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7935)  all_25_14 = e12 & op1(e11, e12) = e12
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (7497), (7935) are inconsistent by sub-proof
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7936)  all_25_22 = e12 & op1(e10, e12) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7936) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7937)  all_25_22 = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7902), (7937) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7938)  e12 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (847), (7938) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7939)  all_25_2 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (31), (32), (33), (43), (44),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (508), (509), (510), (511), (707), (726),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (7939) are inconsistent by sub-proof
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1281.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7940)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7940) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7941)  all_25_23 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (495), (508),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (509), (510), (511), (517), (707), (726), (728),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (731), (739), (755), (759), (790), (818), (843),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (7263), (7504), (7516), (7941) are
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #14.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7942)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e11 & op1(e14, e10) = e11)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (28), (29), (30), (31), (32), (33),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (225), (508), (509),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (511), (517), (707), (726), (728), (731),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (739), (755), (790), (818), (843), (847), (863),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7263), (7598), (7942) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #15.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7943)  all_25_16 = e10 & op1(e14, e10) = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (739), (7598), (7943) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7944)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7944) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7945)  all_25_19 = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7946)  op1(e11, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (28), (29), (30), (31), (32),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (42), (43), (44), (60), (508), (509), (510),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (707), (726), (728), (739), (790), (818),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (847), (863), (5909), (7945), (7946) are
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #139.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7947)  all_25_18 = e13 & op1(e12, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (213), (828), (7947) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #976.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7948)  all_25_22 = e13 & op1(e10, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7948) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7949)  op1(e10, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (6825), (7949) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1254.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7950)  all_25_1 = e13 & op1(e14, e13) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (755), (7950) are inconsistent by sub-proof
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1293.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7951)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e13 & op1(e14, e11) = e13) | (all_25_16 = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op1(e14, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7951) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7952)  all_25_4 = e13 & op1(e14, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (7260), (7952) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7953)  (all_25_9 = e13 & op1(e14, e11) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_16 = e13 & op1(e14, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7954)  all_25_9 = e13 & op1(e14, e11) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7955)  op1(e14, e11) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (224), (6819), (7955) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1230.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7956)  all_25_16 = e13 & op1(e14, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (223), (826), (7956) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1295.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7957)  (all_25_22 = e13 & op1(e10, e12) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_23 = e13 & op1(e10, e11) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e13 & op1(e10, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7957) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7958)  all_25_22 = e13 & op1(e10, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7958) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7959)  op1(e10, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (205), (6825), (7959) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1254.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7960)  (all_25_23 = e13 & op1(e10, e11) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e13 & op1(e10, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7960) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7961)  all_25_23 = e13 & op1(e10, e11) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (204), (6827), (7961) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1253.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7962)  all_25_24 = e13 & op1(e10, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (203), (832), (7962) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #6.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7963)   ~ (all_18_21 = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (7963) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7964)   ~ (all_14_9 = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (28), (29), (30), (31), (32), (33),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (60), (151), (160), (204),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (211), (216), (508), (509), (510), (511),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (514), (515), (707), (709), (721), (726),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (728), (739), (755), (790), (818), (843), (847),
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (863), (5945), (7964) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (7965)  all_18_5 = e11 | all_18_5 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (704), (705), (7965) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #5.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7966)  all_25_3 = e12 & op1(e13, e13) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (60), (707), (7966) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7967)  (all_25_5 = e12 & op1(e13, e12) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7967) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7968)  all_25_5 = e12 & op1(e13, e12) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (7968) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7969)  (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7969) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7970)  all_25_10 = e12 & op1(e13, e11) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7970) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7971)  op1(e13, e11) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (7971) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7972)  all_25_17 = e12 & op1(e13, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7973)  op1(e13, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (844), (7973) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1332.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |   (7974)  (all_25_18 = e13 & op1(e12, e10) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e13 & op1(e11, e10) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e13 & op1(e10, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7974) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |   (7975)  all_25_18 = e13 & op1(e12, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (213), (828), (7975) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |            sub-proof #976.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |   (7976)  (all_25_19 = e13 & op1(e11, e10) = e13) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e13 & op1(e10, e10) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7976) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7977)  all_25_19 = e13 & op1(e11, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (208), (830), (7977) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #951.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7978)  all_25_24 = e13 & op1(e10, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (203), (832), (7978) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #6.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | |   (7979)  all_18_9 = e14 | all_18_9 = e12 | all_18_9 = e11 |
% 239.98/46.84  | | | | | | | | | | | | | | | | | |           all_18_9 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | BETA: splitting (510) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | |   (7980)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3
% 239.98/46.84  | | | | | | | | | | | | | | | | | | |             = e13 & op1(e13, e13) = e13)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (7980) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |   (7981)  all_25_2 = e13 & op1(e13, e14) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (7981) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |   (7982)  op1(e13, e14) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |   (7983)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e13) = e12)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7983) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7984)  all_25_2 = e12 & op1(e13, e14) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7984) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7985)  op1(e13, e14) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (7982), (7985) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1227.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7986)  all_25_3 = e12 & op1(e13, e13) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (60), (707), (7986) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |   (7987)  (all_25_5 = e12 & op1(e13, e12) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7987) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7988)  all_25_5 = e12 & op1(e13, e12) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (7988) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |   (7989)  (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7989) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7990)  all_25_10 = e12 & op1(e13, e11) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7990) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7991)  op1(e13, e11) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (7991) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7992)  all_25_17 = e12 & op1(e13, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7992) implies:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | |   (7993)  op1(e13, e10) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (818) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7994)  unit1 = e14
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7994) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7995)  op1(e14, e12) = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (225), (715), (7995) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1268.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | |   (7996)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7996) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (7997)  unit1 = e12
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (7997) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (7998)  op1(e13, e12) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (7998) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (7999)  unit1 = e11 | unit1 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7999) gives:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8000)  unit1 = e11
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8000) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8001)  op1(e13, e11) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (8001) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1333.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8002)  unit1 = e10
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8002) imply:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8003)  op1(e13, e10) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (7993), (8003) are inconsistent by
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1332.
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | |   (8004)  all_25_3 = e13 & op1(e13, e13) = e13
% 239.98/46.84  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (8004) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8005)  (all_25_5 = e13 & op1(e13, e12) = e13) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |           (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (8005) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8006)  all_25_5 = e13 & op1(e13, e12) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (8006) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8007)  op1(e13, e12) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (8007) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8008)  (all_25_10 = e13 & op1(e13, e11) = e13) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8008) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8009)  all_25_10 = e13 & op1(e13, e11) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8009) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8010)  op1(e13, e11) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (8010) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1333.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8011)  all_25_17 = e13 & op1(e13, e10) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8011) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8012)  all_25_17 = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | |   (8013)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | |             = e12 & op1(e13, e13) = e12)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8013) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |   (8014)  all_25_2 = e12 & op1(e13, e14) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8014) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |   (8015)  op1(e13, e14) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7979) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8016)  all_18_9 = e14
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (8016) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8017)  all_14_21 = e14
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8017) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8018)  all_14_21 = e14
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (8018) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8019)  $false
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8019) is inconsistent.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8020)  all_18_9 = e12 | all_18_9 = e11 | all_18_9 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8020) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (8021)  all_18_9 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (8021) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (8022)  all_14_21 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8022) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (8023)  all_14_21 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (8023) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (8024)   ~ (all_14_1 = e12)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8025)  all_18_5 = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (8025) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8026)  all_14_1 = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8026) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8027)  all_14_1 = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (8027) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8028)  op1(e13, e14) = e13
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (8015), (8028) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1227.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8029)  all_18_5 = e14 | all_18_5 = e12 | all_18_5 = e11 |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_18_5 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8030)  all_18_5 = e14
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (706), (8030) are inconsistent by sub-proof
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1294.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8031)  all_18_5 = e12 | all_18_5 = e11 | all_18_5 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8031) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8032)  all_18_5 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (8032) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8033)  all_14_1 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8033) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8034)  all_14_1 = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8024), (8034) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8035)  $false
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8035) is inconsistent.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8036)  all_18_5 = e11 | all_18_5 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (704), (705), (8036) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #5.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (8037)  all_18_9 = e11 | all_18_9 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8037) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8038)  all_18_9 = e11
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (8038) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8039)  all_14_21 = e11
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8039) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8040)  all_14_21 = e11
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (8040) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8041)  $false
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8041) is inconsistent.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8042)  all_18_9 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (8042) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8043)  all_14_21 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8043) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8044)  all_14_21 = e10
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (8044) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8045)  $false
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8045) is inconsistent.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |   (8046)  all_25_3 = e12 & op1(e13, e13) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (60), (707), (8046) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | |   (8047)  (all_25_5 = e12 & op1(e13, e12) = e12) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | |           (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8047) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |   (8048)  all_25_5 = e12 & op1(e13, e12) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (43), (60), (8048) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |   (8049)  (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8049) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8050)  all_25_10 = e12 & op1(e13, e11) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8050) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8051)  op1(e13, e11) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (8051) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |   (8052)  all_25_17 = e12 & op1(e13, e10) = e12
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (8012), (8052) are inconsistent by sub-proof
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | |            #1093.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | |   (8053)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_9
% 239.98/46.85  | | | | | | | | | | | | | |             = e22 & op2(e24, e21) = e22) | (all_24_16 = e22
% 239.98/46.85  | | | | | | | | | | | | | |             & op2(e24, e20) = e22)
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | BETA: splitting (8053) gives:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | |   (8054)  all_24_4 = e22 & op2(e24, e22) = e22
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | ALPHA: (8054) implies:
% 239.98/46.85  | | | | | | | | | | | | | | |   (8055)  op2(e24, e22) = e22
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | REF_CLOSE: (61), (350), (643), (8055) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | |            sub-proof #774.
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | |   (8056)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 239.98/46.85  | | | | | | | | | | | | | | |           (all_24_16 = e22 & op2(e24, e20) = e22)
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | BETA: splitting (8056) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8057)  all_24_9 = e22 & op2(e24, e21) = e22
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | ALPHA: (8057) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8058)  op2(e24, e21) = e22
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with all_16_15, e22, e21, e24,
% 239.98/46.85  | | | | | | | | | | | | | | | |              simplifying with (349), (8058) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8059)  all_16_15 = e22
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | REDUCE: (645), (8059) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8060)  $false
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | CLOSE: (8060) is inconsistent.
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8061)  all_24_16 = e22 & op2(e24, e20) = e22
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | REF_CLOSE: (61), (348), (647), (8061) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | |            sub-proof #806.
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | |   (8062)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.85  | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.85  | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | BETA: splitting (8062) gives:
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | |   (8063)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | REF_CLOSE: (47), (61), (654), (8063) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | |            sub-proof #1318.
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | |   (8064)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.85  | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | BETA: splitting (8064) gives:
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | |   (8065)  all_24_10 = e21 & op2(e23, e21) = e21
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (656), (752), (8065) are inconsistent
% 239.98/46.85  | | | | | | | | | | | | | |            by sub-proof #789.
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | |   (8066)  all_24_17 = e21 & op2(e23, e20) = e21
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | ALPHA: (8066) implies:
% 239.98/46.85  | | | | | | | | | | | | | |   (8067)  all_24_17 = e21
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (46), (47),
% 239.98/46.85  | | | | | | | | | | | | | |            (48), (61), (463), (464), (465), (635), (656),
% 239.98/46.85  | | | | | | | | | | | | | |            (671), (752), (798), (8067) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | |            sub-proof #204.
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | |   (8068)  (all_24_10 = e20 & op2(e23, e21) = e20) |
% 239.98/46.85  | | | | | | | | | | |           (all_24_17 = e20 & op2(e23, e20) = e20)
% 239.98/46.85  | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | BETA: splitting (8068) gives:
% 239.98/46.85  | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | |   (8069)  all_24_10 = e20 & op2(e23, e21) = e20
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | REF_CLOSE: (46), (61), (671), (752), (8069) are inconsistent
% 239.98/46.85  | | | | | | | | | | | |            by sub-proof #591.
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | |   (8070)  all_24_17 = e20 & op2(e23, e20) = e20
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | ALPHA: (8070) implies:
% 239.98/46.85  | | | | | | | | | | | |   (8071)  all_24_17 = e20
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | BETA: splitting (463) gives:
% 239.98/46.85  | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | |   (8072)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3
% 239.98/46.85  | | | | | | | | | | | | |             = e22 & op2(e23, e23) = e22)
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | BETA: splitting (8072) gives:
% 239.98/46.85  | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | |   (8073)  all_24_2 = e22 & op2(e23, e24) = e22
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | ALPHA: (8073) implies:
% 239.98/46.85  | | | | | | | | | | | | | |   (8074)  all_24_2 = e22
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (48),
% 239.98/46.85  | | | | | | | | | | | | | |            (61), (462), (464), (465), (635), (654), (656),
% 239.98/46.85  | | | | | | | | | | | | | |            (671), (752), (8071), (8074) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | |            sub-proof #888.
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | |   (8075)  all_24_3 = e22 & op2(e23, e23) = e22
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | ALPHA: (8075) implies:
% 239.98/46.85  | | | | | | | | | | | | | |   (8076)  all_24_3 = e22
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 239.98/46.85  | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | |   (8077)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3
% 239.98/46.85  | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | BETA: splitting (8077) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8078)  all_24_2 = e23 & op2(e23, e24) = e23
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | |   (8079)  all_24_2 = e23
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | |   (8080)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 239.98/46.85  | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e23) = e21)
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | BETA: splitting (8080) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8081)  all_24_2 = e21 & op2(e23, e24) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (8079), (8081) are inconsistent by sub-proof
% 239.98/46.85  | | | | | | | | | | | | | | | | | |            #235.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8082)  all_24_3 = e21 & op2(e23, e23) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (8076), (8082) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | |            sub-proof #234.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | |   (8083)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.85  | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.85  | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | BETA: splitting (8083) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8084)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | ALPHA: (8084) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8085)  all_24_5 = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8086)  op2(e23, e22) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8087)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (8076), (8079), (8087) are
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #4.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8088)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (8088) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8089)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8085), (8089) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |            sub-proof #889.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8090)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8090) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e21, e22, e23,
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8086) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8091)  e21 = e20
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8085), (8091) imply:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8092)  all_24_5 = e20
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8076), (8079), (8092) are
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #231.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8093)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8093) are inconsistent by
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | |   (8094)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | BETA: splitting (8094) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8095)  all_24_10 = e21 & op2(e23, e21) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | ALPHA: (8095) implies:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8096)  all_24_10 = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | |   (8097)  op2(e23, e21) = e21
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8098)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (8076), (8079), (8098) are
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #4.
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |   (8099)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8099) gives:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.85  | | | | | | | | | | | | | | | | | | | | |   (8100)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8100) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8101)  all_24_5 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8102)  op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8103)  all_10_1 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (752), (8097) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8104)  all_10_1 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e24, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8102) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8105)  e24 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8103), (8104) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8106)  e24 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | SIMP: (8106) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8107)  e24 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8105), (8107) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8108)  e21 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8101), (8105) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8109)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8076), (8079), (8109) are
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #231.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8110)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8110) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8111)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8096), (8111) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8112)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8112) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8113)  all_24_17 = e21 & op2(e23, e20) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (8071), (8113) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |            sub-proof #900.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8114)  all_24_3 = e23 & op2(e23, e23) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | REF_CLOSE: (37), (8076), (8114) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | |            #230.
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | |   (8115)  (all_24_5 = e23 & op2(e23, e22) = e23) |
% 239.98/46.86  | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23) |
% 239.98/46.86  | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | BETA: splitting (8115) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8116)  all_24_5 = e23 & op2(e23, e22) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8117)  all_24_5 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8118)  op2(e23, e22) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e23, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | |              simplifying with (47), (8118) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8119)  e23 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | COMBINE_EQS: (8117), (8119) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8120)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (462), (464), (465),
% 239.98/46.86  | | | | | | | | | | | | | | | |            (635), (654), (656), (671), (8071), (8076), (8120)
% 239.98/46.86  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #227.
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8121)  (all_24_10 = e23 & op2(e23, e21) = e23) |
% 239.98/46.86  | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | BETA: splitting (8121) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8122)  all_24_10 = e23 & op2(e23, e21) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | ALPHA: (8122) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8123)  all_24_10 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8124)  op2(e23, e21) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | |   (8125)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e23) = e21)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | BETA: splitting (8125) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8126)  all_24_2 = e21 & op2(e23, e24) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | ALPHA: (8126) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8127)  all_24_2 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8128)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8128) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8129)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8127), (8129) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8130)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8076), (8130) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            #232.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8131)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8131) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8132)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8132) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8133)  all_24_5 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8134)  op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e24, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8134) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8135)  e24 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8133), (8135) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8136)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (465), (656), (671), (8071), (8076),
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            (8123), (8127), (8136) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #228.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8137)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8137) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8138)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8123), (8138) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            #1313.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8139)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8139) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #898.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8140)  all_24_3 = e21 & op2(e23, e23) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (8076), (8140) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |            sub-proof #234.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | |   (8141)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | BETA: splitting (8141) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8142)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | ALPHA: (8142) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8143)  all_24_5 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8144)  op2(e23, e22) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8145)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8145) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8146)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8146) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8147)  all_24_2 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8148)  all_10_1 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e23, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (752), (8124) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8149)  all_10_1 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e21, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8144) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8150)  e21 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8148), (8149) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8151)  e24 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | SIMP: (8151) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8152)  e24 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8143), (8150) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8153)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8147), (8152) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8154)  all_24_2 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8076), (8153), (8154) are
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #231.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8155)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8076), (8155) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            #232.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8156)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8156) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8157)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8143), (8157) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #889.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8158)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8158) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8159)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8123), (8159) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            #1313.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8160)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8160) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #898.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8161)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (654), (8071), (8123), (8161) are
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #893.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8162)  all_24_17 = e23 & op2(e23, e20) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (8071), (8162) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | |            #892.
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | |   (8163)  (all_24_5 = e22 & op2(e23, e22) = e22) |
% 239.98/46.86  | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22) |
% 239.98/46.86  | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 239.98/46.86  | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 239.98/46.86  | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | |   (8164)  all_24_5 = e22 & op2(e23, e22) = e22
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | ALPHA: (8164) implies:
% 239.98/46.86  | | | | | | | | | | | | | |   (8165)  all_24_5 = e22
% 239.98/46.86  | | | | | | | | | | | | | |   (8166)  op2(e23, e22) = e22
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e22, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | |              simplifying with (47), (8166) gives:
% 239.98/46.86  | | | | | | | | | | | | | |   (8167)  e22 = e20
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | COMBINE_EQS: (8165), (8167) imply:
% 239.98/46.86  | | | | | | | | | | | | | |   (8168)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | REF_CLOSE: (34), (35), (36), (37), (38), (39), (462), (463),
% 239.98/46.86  | | | | | | | | | | | | | |            (464), (465), (635), (654), (656), (671), (8071),
% 239.98/46.86  | | | | | | | | | | | | | |            (8168) are inconsistent by sub-proof #221.
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | |   (8169)  (all_24_10 = e22 & op2(e23, e21) = e22) |
% 239.98/46.86  | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | BETA: splitting (8169) gives:
% 239.98/46.86  | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | |   (8170)  all_24_10 = e22 & op2(e23, e21) = e22
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | ALPHA: (8170) implies:
% 239.98/46.86  | | | | | | | | | | | | | | |   (8171)  all_24_10 = e22
% 239.98/46.86  | | | | | | | | | | | | | | |   (8172)  op2(e23, e21) = e22
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | |   (8173)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | |             = e23 & op2(e23, e23) = e23)
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | BETA: splitting (8173) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8174)  all_24_2 = e23 & op2(e23, e24) = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | ALPHA: (8174) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | |   (8175)  all_24_2 = e23
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | |   (8176)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e23) = e21)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | BETA: splitting (8176) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8177)  all_24_2 = e21 & op2(e23, e24) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (8175), (8177) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |            #235.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8178)  all_24_3 = e21 & op2(e23, e23) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | ALPHA: (8178) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8179)  all_24_3 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8180)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8180) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8181)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8175), (8181) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            #233.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8182)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8179), (8182) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #896.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |   (8183)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8183) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8184)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8184) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8185)  all_24_5 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8186)  op2(e23, e22) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8187)  all_10_1 = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_10_1, e21, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (752), (8172) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8188)  all_10_1 = e22
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e24, e22, e23,
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8186) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8189)  e24 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8187), (8188) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8190)  e24 = e22
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | SIMP: (8190) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8191)  e24 = e22
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8189), (8191) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8192)  e22 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8185), (8189) imply:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8193)  all_24_5 = e20
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8171), (8175), (8193) are
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #224.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |   (8194)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8194) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8195)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8171), (8195) are inconsistent by sub-proof
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            #1321.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |   (8196)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8196) are inconsistent by
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #898.
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | |   (8197)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.86  | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | BETA: splitting (8197) gives:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8198)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | ALPHA: (8198) implies:
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8199)  all_24_5 = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | |   (8200)  op2(e23, e22) = e21
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.86  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e21, e22, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8200) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8201)  e21 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8199), (8201) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8202)  all_24_5 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8171), (8175), (8202) are
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #224.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8203)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (8203) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8204)  all_24_10 = e21 & op2(e23, e21) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (8171), (8204) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #1317.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8205)  all_24_17 = e21 & op2(e23, e20) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (8071), (8205) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #900.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8206)  all_24_3 = e23 & op2(e23, e23) = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | ALPHA: (8206) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8207)  all_24_3 = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8208)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 239.98/46.87  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e23) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | BETA: splitting (8208) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8209)  all_24_2 = e21 & op2(e23, e24) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8209) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8210)  all_24_2 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8211)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8211) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8212)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8210), (8212) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8213)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8207), (8213) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            #903.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8214)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8214) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8215)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8215) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8216)  all_24_5 = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8217)  op2(e23, e22) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8218)  all_10_1 = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_10_1, e21, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (752), (8172) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8219)  all_10_1 = e22
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e24, e22, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8217) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8220)  e24 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8218), (8219) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8221)  e24 = e22
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8220), (8221) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8222)  e22 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8216), (8220) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8223)  all_24_5 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8171), (8207), (8223) are
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #223.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8224)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8224) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |   (8225)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8171), (8225) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |            #1321.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |   (8226)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8226) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8227)  all_24_3 = e21 & op2(e23, e23) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8227) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8228)  all_24_3 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (8207), (8228) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            #1328.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8229)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | BETA: splitting (8229) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8230)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8231)  all_24_5 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8232)  op2(e23, e22) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e20, e21, e22, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |              simplifying with (47), (8232) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8233)  e21 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8233) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8234)  all_24_5 = e20
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (38), (39), (462), (465), (635), (654),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            (656), (671), (8071), (8171), (8207), (8234) are
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #223.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8235)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (8235) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8236)  all_24_10 = e21 & op2(e23, e21) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (8171), (8236) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #1317.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8237)  all_24_17 = e21 & op2(e23, e20) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (8071), (8237) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #900.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | |   (8238)  (all_24_5 = e23 & op2(e23, e22) = e23) |
% 239.98/46.87  | | | | | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23) |
% 239.98/46.87  | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 239.98/46.87  | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | BETA: splitting (8238) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8239)  all_24_5 = e23 & op2(e23, e22) = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8240)  all_24_5 = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8241)  op2(e23, e22) = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8242)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3
% 239.98/46.87  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e23) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | BETA: splitting (8242) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8243)  all_24_2 = e21 & op2(e23, e24) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8243) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8244)  all_24_2 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8245)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8245) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8246)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8244), (8246) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8247)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8247) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8248)  all_24_3 = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8249)  op2(e23, e23) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e24, all_10_1, e21, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (752) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8250)  all_10_1 = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e22, all_10_1, e21, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (752), (8172) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8251)  all_10_1 = e22
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (61) with e21, e24, e23, e23,
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |              simplifying with (48), (8249) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8252)  e24 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8250), (8251) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8253)  e24 = e22
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8252), (8253) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8254)  e22 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8248), (8252) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8255)  all_24_3 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            (752), (8071), (8171), (8172), (8240), (8241),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            (8255) are inconsistent by sub-proof #2.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8256)  (all_24_5 = e24 & op2(e23, e22) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8256) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8257)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8240), (8257) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |            #3.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |   (8258)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8258) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |   (8259)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8171), (8259) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |            #1321.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |   (8260)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (8071), (8260) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8261)  all_24_3 = e21 & op2(e23, e23) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8261) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8262)  all_24_3 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (37), (38), (39), (46), (47), (61),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            (462), (464), (465), (635), (654), (656), (671),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            (752), (8071), (8171), (8172), (8240), (8241),
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |            (8262) are inconsistent by sub-proof #2.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8263)  (all_24_5 = e21 & op2(e23, e22) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | BETA: splitting (8263) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8264)  all_24_5 = e21 & op2(e23, e22) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | ALPHA: (8264) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8265)  all_24_5 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8240), (8265) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8266)  e23 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | SIMP: (8266) implies:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8267)  e23 = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8267) imply:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8268)  $false
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | CLOSE: (8268) is inconsistent.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |   (8269)  (all_24_10 = e21 & op2(e23, e21) = e21) |
% 239.98/46.87  | | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (8269) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8270)  all_24_10 = e21 & op2(e23, e21) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (8171), (8270) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #1317.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |   (8271)  all_24_17 = e21 & op2(e23, e20) = e21
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (8071), (8271) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #900.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | |   (8272)  (all_24_10 = e23 & op2(e23, e21) = e23) |
% 239.98/46.87  | | | | | | | | | | | | | | | | |           (all_24_17 = e23 & op2(e23, e20) = e23)
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | BETA: splitting (8272) gives:
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8273)  all_24_10 = e23 & op2(e23, e21) = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (8171), (8273) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | |            #1325.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | |   (8274)  all_24_17 = e23 & op2(e23, e20) = e23
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (8071), (8274) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | | | | |            #892.
% 239.98/46.87  | | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | |   (8275)  all_24_17 = e22 & op2(e23, e20) = e22
% 239.98/46.87  | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | | REF_CLOSE: (34), (8071), (8275) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | | | | | | | | |            #222.
% 239.98/46.87  | | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | 
% 239.98/46.87  | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | |   (8276)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_15 =
% 239.98/46.87  | | | | | | | |             e14 & op1(e11, e11) = e14) | (all_25_23 = e14 &
% 239.98/46.87  | | | | | | | |             op1(e10, e11) = e14)
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | | REF_CLOSE: (60), (204), (209), (214), (744), (746), (748),
% 239.98/46.87  | | | | | | | |            (8276) are inconsistent by sub-proof #1.
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | End of split
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | End of split
% 239.98/46.87  | | | | | | 
% 239.98/46.87  | | | | | Case 2:
% 239.98/46.87  | | | | | | 
% 239.98/46.87  | | | | | |   (8277)  (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11
% 239.98/46.87  | | | | | |             & op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13,
% 239.98/46.87  | | | | | |               e10) = e11)
% 239.98/46.87  | | | | | | 
% 239.98/46.87  | | | | | | BETA: splitting (8277) gives:
% 239.98/46.87  | | | | | | 
% 239.98/46.87  | | | | | | Case 1:
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | |   (8278)  all_25_5 = e11 & op1(e13, e12) = e11
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | | REF_CLOSE: (43), (60), (726), (8278) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | |            #1285.
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | Case 2:
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | |   (8279)  (all_25_10 = e11 & op1(e13, e11) = e11) | (all_25_17 =
% 239.98/46.87  | | | | | | |             e11 & op1(e13, e10) = e11)
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | | BETA: splitting (8279) gives:
% 239.98/46.87  | | | | | | | 
% 239.98/46.87  | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | |   (8280)  all_25_10 = e11 & op1(e13, e11) = e11
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | | REF_CLOSE: (728), (759), (8280) are inconsistent by sub-proof
% 239.98/46.87  | | | | | | | |            #984.
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | |   (8281)  all_25_17 = e11 & op1(e13, e10) = e11
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | | ALPHA: (8281) implies:
% 239.98/46.87  | | | | | | | |   (8282)  all_25_17 = e11
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | | BETA: splitting (509) gives:
% 239.98/46.87  | | | | | | | | 
% 239.98/46.87  | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | 
% 239.98/46.87  | | | | | | | | |   (8283)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 =
% 239.98/46.87  | | | | | | | | |             e12 & op1(e13, e13) = e12)
% 239.98/46.87  | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | BETA: splitting (8283) gives:
% 239.98/46.87  | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | |   (8284)  all_25_2 = e12 & op1(e13, e14) = e12
% 239.98/46.87  | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | ALPHA: (8284) implies:
% 239.98/46.87  | | | | | | | | | |   (8285)  op1(e13, e14) = e12
% 239.98/46.87  | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | BETA: splitting (510) gives:
% 239.98/46.87  | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | |   (8286)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3
% 239.98/46.87  | | | | | | | | | | |             = e13 & op1(e13, e13) = e13)
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | BETA: splitting (8286) gives:
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | |   (8287)  all_25_2 = e13 & op1(e13, e14) = e13
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | ALPHA: (8287) implies:
% 239.98/46.87  | | | | | | | | | | | |   (8288)  op1(e13, e14) = e13
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | REF_CLOSE: (31), (60), (8285), (8288) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | |            sub-proof #1227.
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | |   (8289)  all_25_3 = e13 & op1(e13, e13) = e13
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | REF_CLOSE: (30), (44), (60), (8289) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | |            sub-proof #1335.
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | End of split
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | |   (8290)  (all_25_5 = e13 & op1(e13, e12) = e13) |
% 239.98/46.87  | | | | | | | | | | |           (all_25_10 = e13 & op1(e13, e11) = e13) |
% 239.98/46.87  | | | | | | | | | | |           (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | BETA: splitting (8290) gives:
% 239.98/46.87  | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | |   (8291)  all_25_5 = e13 & op1(e13, e12) = e13
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | ALPHA: (8291) implies:
% 239.98/46.87  | | | | | | | | | | | |   (8292)  op1(e13, e12) = e13
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | REF_CLOSE: (29), (43), (60), (8292) are inconsistent by
% 239.98/46.87  | | | | | | | | | | | |            sub-proof #1334.
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | Case 2:
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | |   (8293)  (all_25_10 = e13 & op1(e13, e11) = e13) |
% 239.98/46.87  | | | | | | | | | | | |           (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | BETA: splitting (8293) gives:
% 239.98/46.87  | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | Case 1:
% 239.98/46.87  | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | |   (8294)  all_25_10 = e13 & op1(e13, e11) = e13
% 239.98/46.87  | | | | | | | | | | | | | 
% 239.98/46.87  | | | | | | | | | | | | | ALPHA: (8294) implies:
% 239.98/46.87  | | | | | | | | | | | | |   (8295)  op1(e13, e11) = e13
% 239.98/46.88  | | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | | | REF_CLOSE: (33), (42), (60), (8295) are inconsistent by
% 239.98/46.88  | | | | | | | | | | | | |            sub-proof #1333.
% 239.98/46.88  | | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | | Case 2:
% 239.98/46.88  | | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | | |   (8296)  all_25_17 = e13 & op1(e13, e10) = e13
% 239.98/46.88  | | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | | | REF_CLOSE: (30), (8282), (8296) are inconsistent by sub-proof
% 239.98/46.88  | | | | | | | | | | | | |            #1284.
% 239.98/46.88  | | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | Case 2:
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | |   (8297)  all_25_3 = e12 & op1(e13, e13) = e12
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | REF_CLOSE: (44), (60), (707), (8297) are inconsistent by
% 239.98/46.88  | | | | | | | | | |            sub-proof #1338.
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | 
% 239.98/46.88  | | | | | | | | Case 2:
% 239.98/46.88  | | | | | | | | | 
% 239.98/46.88  | | | | | | | | |   (8298)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10
% 239.98/46.88  | | | | | | | | |             = e12 & op1(e13, e11) = e12) | (all_25_17 = e12 &
% 239.98/46.88  | | | | | | | | |             op1(e13, e10) = e12)
% 239.98/46.88  | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | BETA: splitting (8298) gives:
% 239.98/46.88  | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | Case 1:
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | |   (8299)  all_25_5 = e12 & op1(e13, e12) = e12
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | REF_CLOSE: (28), (43), (60), (8299) are inconsistent by
% 239.98/46.88  | | | | | | | | | |            sub-proof #1337.
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | Case 2:
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | |   (8300)  (all_25_10 = e12 & op1(e13, e11) = e12) |
% 239.98/46.88  | | | | | | | | | |           (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | BETA: splitting (8300) gives:
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | Case 1:
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | |   (8301)  all_25_10 = e12 & op1(e13, e11) = e12
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | ALPHA: (8301) implies:
% 239.98/46.88  | | | | | | | | | | |   (8302)  op1(e13, e11) = e12
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | REF_CLOSE: (32), (42), (60), (8302) are inconsistent by
% 239.98/46.88  | | | | | | | | | | |            sub-proof #1336.
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | Case 2:
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | |   (8303)  all_25_17 = e12 & op1(e13, e10) = e12
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | ALPHA: (8303) implies:
% 239.98/46.88  | | | | | | | | | | |   (8304)  all_25_17 = e12
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | COMBINE_EQS: (8282), (8304) imply:
% 239.98/46.88  | | | | | | | | | | |   (8305)  e12 = e11
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | REDUCE: (707), (8305) imply:
% 239.98/46.88  | | | | | | | | | | |   (8306)  $false
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | | CLOSE: (8306) is inconsistent.
% 239.98/46.88  | | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | | 
% 239.98/46.88  | | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | | 
% 239.98/46.88  | | | | | | | | End of split
% 239.98/46.88  | | | | | | | | 
% 239.98/46.88  | | | | | | | End of split
% 239.98/46.88  | | | | | | | 
% 239.98/46.88  | | | | | | End of split
% 239.98/46.88  | | | | | | 
% 239.98/46.88  | | | | | End of split
% 239.98/46.88  | | | | | 
% 239.98/46.88  | | | | End of split
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | Case 2:
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | |   (8307)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_15 = e14 &
% 239.98/46.88  | | | |             op1(e11, e11) = e14) | (all_25_23 = e14 & op1(e10, e11) =
% 239.98/46.88  | | | |             e14)
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | REF_CLOSE: (60), (204), (209), (214), (744), (746), (748), (8307) are
% 239.98/46.88  | | | |            inconsistent by sub-proof #1.
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | End of split
% 239.98/46.88  | | | 
% 239.98/46.88  | | Case 2:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (8308)  all_25_3 = e12 & op1(e13, e13) = e12
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (44), (60), (707), (8308) are inconsistent by sub-proof #1338.
% 239.98/46.88  | | | 
% 239.98/46.88  | | End of split
% 239.98/46.88  | | 
% 239.98/46.88  | Case 2:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (8309)  (all_25_7 = e12 & op1(e12, e13) = e12) | (all_25_13 = e12 &
% 239.98/46.88  | |             op1(e11, e13) = e12) | (all_25_21 = e12 & op1(e10, e13) = e12)
% 239.98/46.88  | | 
% 239.98/46.88  | | BETA: splitting (8309) gives:
% 239.98/46.88  | | 
% 239.98/46.88  | | Case 1:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (8310)  all_25_7 = e12 & op1(e12, e13) = e12
% 239.98/46.88  | | | 
% 239.98/46.88  | | | ALPHA: (8310) implies:
% 239.98/46.88  | | |   (8311)  op1(e12, e13) = e12
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (60), (216), (709), (8311) are inconsistent by sub-proof #1296.
% 239.98/46.88  | | | 
% 239.98/46.88  | | Case 2:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (8312)  (all_25_13 = e12 & op1(e11, e13) = e12) | (all_25_21 = e12 &
% 239.98/46.88  | | |             op1(e10, e13) = e12)
% 239.98/46.88  | | | 
% 239.98/46.88  | | | BETA: splitting (8312) gives:
% 239.98/46.88  | | | 
% 239.98/46.88  | | | Case 1:
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | |   (8313)  all_25_13 = e12 & op1(e11, e13) = e12
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | ALPHA: (8313) implies:
% 239.98/46.88  | | | |   (8314)  op1(e11, e13) = e12
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | GROUND_INST: instantiating (60) with all_14_8, e12, e13, e11,
% 239.98/46.88  | | | |              simplifying with (211), (8314) gives:
% 239.98/46.88  | | | |   (8315)  all_14_8 = e12
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | REDUCE: (711), (8315) imply:
% 239.98/46.88  | | | |   (8316)  $false
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | CLOSE: (8316) is inconsistent.
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | Case 2:
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | |   (8317)  all_25_21 = e12 & op1(e10, e13) = e12
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | REF_CLOSE: (60), (206), (713), (8317) are inconsistent by sub-proof
% 239.98/46.88  | | | |            #1265.
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | End of split
% 239.98/46.88  | | | 
% 239.98/46.88  | | End of split
% 239.98/46.88  | | 
% 239.98/46.88  | End of split
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #1 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)   ~ (all_14_17 = e14)
% 239.98/46.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.88           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.88    (3)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_15 = e14 & op1(e11,
% 239.98/46.88             e11) = e14) | (all_25_23 = e14 & op1(e10, e11) = e14)
% 239.98/46.88    (4)  op1(e12, e11) = all_14_17
% 239.98/46.88    (5)   ~ (all_14_18 = e14)
% 239.98/46.88    (6)   ~ (all_14_19 = e14)
% 239.98/46.88    (7)  op1(e11, e11) = all_14_18
% 239.98/46.88    (8)  op1(e10, e11) = all_14_19
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | BETA: splitting (3) gives:
% 239.98/46.88  | 
% 239.98/46.88  | Case 1:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (9)  all_25_11 = e14 & op1(e12, e11) = e14
% 239.98/46.88  | | 
% 239.98/46.88  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1162.
% 239.98/46.88  | | 
% 239.98/46.88  | Case 2:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (10)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_23 = e14 &
% 239.98/46.88  | |           op1(e10, e11) = e14)
% 239.98/46.88  | | 
% 239.98/46.88  | | BETA: splitting (10) gives:
% 239.98/46.88  | | 
% 239.98/46.88  | | Case 1:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (11)  all_25_15 = e14 & op1(e11, e11) = e14
% 239.98/46.88  | | | 
% 239.98/46.88  | | | ALPHA: (11) implies:
% 239.98/46.88  | | |   (12)  op1(e11, e11) = e14
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (2), (5), (7), (12) are inconsistent by sub-proof #1098.
% 239.98/46.88  | | | 
% 239.98/46.88  | | Case 2:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (13)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.98/46.88  | | | 
% 239.98/46.88  | | | ALPHA: (13) implies:
% 239.98/46.88  | | |   (14)  op1(e10, e11) = e14
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (2), (6), (8), (14) are inconsistent by sub-proof #1257.
% 239.98/46.88  | | | 
% 239.98/46.88  | | End of split
% 239.98/46.88  | | 
% 239.98/46.88  | End of split
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #2 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)  op2(e23, e21) = e22
% 239.98/46.88    (2)  op2(e23, e22) = e23
% 239.98/46.88    (3)  all_24_17 = e20
% 239.98/46.88    (4)   ~ (e24 = e20)
% 239.98/46.88    (5)   ~ (e23 = e21)
% 239.98/46.88    (6)  op2(e23, e21) = e24
% 239.98/46.88    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 239.98/46.88           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 239.98/46.88           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 239.98/46.88    (8)   ~ (e23 = e22)
% 239.98/46.88    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.88           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 239.98/46.88    (10)   ~ (e23 = e20)
% 239.98/46.88    (11)   ~ (e24 = e21)
% 239.98/46.88    (12)  all_24_10 = e22
% 239.98/46.88    (13)   ~ (e22 = e21)
% 239.98/46.88    (14)  op2(e23, e22) = e20
% 239.98/46.88    (15)   ~ (e21 = e20)
% 239.98/46.88    (16)   ~ (e24 = e22)
% 239.98/46.88    (17)  all_24_5 = e23
% 239.98/46.88    (18)   ~ (e24 = e23)
% 239.98/46.88    (19)  op2(e23, e21) = all_10_1
% 239.98/46.88    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 239.98/46.88            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 239.98/46.88            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.88    (21)  all_24_3 = e21
% 239.98/46.88    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 239.98/46.88            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 239.98/46.88            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | BETA: splitting (20) gives:
% 239.98/46.88  | 
% 239.98/46.88  | Case 1:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 239.98/46.88  | |             e23) = e24)
% 239.98/46.88  | | 
% 239.98/46.88  | | BETA: splitting (23) gives:
% 239.98/46.88  | | 
% 239.98/46.88  | | Case 1:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (24)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.88  | | | 
% 239.98/46.88  | | | ALPHA: (24) implies:
% 239.98/46.88  | | |   (25)  all_24_2 = e24
% 239.98/46.88  | | | 
% 239.98/46.88  | | | GROUND_INST: instantiating (9) with e24, all_10_1, e21, e23, simplifying
% 239.98/46.88  | | |              with (6), (19) gives:
% 239.98/46.88  | | |   (26)  all_10_1 = e24
% 239.98/46.88  | | | 
% 239.98/46.88  | | | GROUND_INST: instantiating (9) with e22, all_10_1, e21, e23, simplifying
% 239.98/46.88  | | |              with (1), (19) gives:
% 239.98/46.88  | | |   (27)  all_10_1 = e22
% 239.98/46.88  | | | 
% 239.98/46.88  | | | GROUND_INST: instantiating (9) with e20, e23, e22, e23, simplifying with
% 239.98/46.88  | | |              (2), (14) gives:
% 239.98/46.88  | | |   (28)  e23 = e20
% 239.98/46.88  | | | 
% 239.98/46.88  | | | COMBINE_EQS: (26), (27) imply:
% 239.98/46.88  | | |   (29)  e24 = e22
% 239.98/46.88  | | | 
% 239.98/46.88  | | | COMBINE_EQS: (17), (28) imply:
% 239.98/46.88  | | |   (30)  all_24_5 = e20
% 239.98/46.88  | | | 
% 239.98/46.88  | | | COMBINE_EQS: (25), (29) imply:
% 239.98/46.88  | | |   (31)  all_24_2 = e22
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (11), (13), (15), (16), (18),
% 239.98/46.88  | | |            (20), (22), (30), (31) are inconsistent by sub-proof #891.
% 239.98/46.88  | | | 
% 239.98/46.88  | | Case 2:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (32)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (11), (21), (32) are inconsistent by sub-proof #1323.
% 239.98/46.88  | | | 
% 239.98/46.88  | | End of split
% 239.98/46.88  | | 
% 239.98/46.88  | Case 2:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (33)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23,
% 239.98/46.88  | |             e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 239.98/46.88  | | 
% 239.98/46.88  | | BETA: splitting (33) gives:
% 239.98/46.88  | | 
% 239.98/46.88  | | Case 1:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (34)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.88  | | | 
% 239.98/46.88  | | | REF_CLOSE: (17), (18), (34) are inconsistent by sub-proof #3.
% 239.98/46.88  | | | 
% 239.98/46.88  | | Case 2:
% 239.98/46.88  | | | 
% 239.98/46.88  | | |   (35)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 239.98/46.88  | | |           op2(e23, e20) = e24)
% 239.98/46.88  | | | 
% 239.98/46.88  | | | BETA: splitting (35) gives:
% 239.98/46.88  | | | 
% 239.98/46.88  | | | Case 1:
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | |   (36)  all_24_10 = e24 & op2(e23, e21) = e24
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | REF_CLOSE: (12), (16), (36) are inconsistent by sub-proof #1321.
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | Case 2:
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | |   (37)  all_24_17 = e24 & op2(e23, e20) = e24
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | | REF_CLOSE: (3), (4), (37) are inconsistent by sub-proof #898.
% 239.98/46.88  | | | | 
% 239.98/46.88  | | | End of split
% 239.98/46.88  | | | 
% 239.98/46.88  | | End of split
% 239.98/46.88  | | 
% 239.98/46.88  | End of split
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #3 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)  all_24_5 = e24 & op2(e23, e22) = e24
% 239.98/46.88    (2)  all_24_5 = e23
% 239.98/46.88    (3)   ~ (e24 = e23)
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | ALPHA: (1) implies:
% 239.98/46.88  |   (4)  all_24_5 = e24
% 239.98/46.88  | 
% 239.98/46.88  | COMBINE_EQS: (2), (4) imply:
% 239.98/46.88  |   (5)  e24 = e23
% 239.98/46.88  | 
% 239.98/46.88  | REDUCE: (3), (5) imply:
% 239.98/46.88  |   (6)  $false
% 239.98/46.88  | 
% 239.98/46.88  | CLOSE: (6) is inconsistent.
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #4 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)  all_24_2 = e23
% 239.98/46.88    (2)  all_24_3 = e22
% 239.98/46.88    (3)   ~ (e24 = e22)
% 239.98/46.88    (4)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 239.98/46.88           = e24)
% 239.98/46.88    (5)   ~ (e24 = e23)
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | BETA: splitting (4) gives:
% 239.98/46.88  | 
% 239.98/46.88  | Case 1:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (6)  all_24_2 = e24 & op2(e23, e24) = e24
% 239.98/46.88  | | 
% 239.98/46.88  | | ALPHA: (6) implies:
% 239.98/46.88  | |   (7)  all_24_2 = e24
% 239.98/46.88  | | 
% 239.98/46.88  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #827.
% 239.98/46.88  | | 
% 239.98/46.88  | Case 2:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (8)  all_24_3 = e24 & op2(e23, e23) = e24
% 239.98/46.88  | | 
% 239.98/46.88  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #232.
% 239.98/46.88  | | 
% 239.98/46.88  | End of split
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #5 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)  all_18_5 = e11 | all_18_5 = e10
% 239.98/46.88    (2)  all_18_5 = all_14_1
% 239.98/46.88    (3)   ~ (all_14_1 = e11)
% 239.98/46.88    (4)   ~ (all_14_1 = e10)
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | BETA: splitting (1) gives:
% 239.98/46.88  | 
% 239.98/46.88  | Case 1:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (5)  all_18_5 = e11
% 239.98/46.88  | | 
% 239.98/46.88  | | COMBINE_EQS: (2), (5) imply:
% 239.98/46.88  | |   (6)  all_14_1 = e11
% 239.98/46.88  | | 
% 239.98/46.88  | | SIMP: (6) implies:
% 239.98/46.88  | |   (7)  all_14_1 = e11
% 239.98/46.88  | | 
% 239.98/46.88  | | REDUCE: (3), (7) imply:
% 239.98/46.88  | |   (8)  $false
% 239.98/46.88  | | 
% 239.98/46.88  | | CLOSE: (8) is inconsistent.
% 239.98/46.88  | | 
% 239.98/46.88  | Case 2:
% 239.98/46.88  | | 
% 239.98/46.88  | |   (9)  all_18_5 = e10
% 239.98/46.88  | | 
% 239.98/46.88  | | COMBINE_EQS: (2), (9) imply:
% 239.98/46.88  | |   (10)  all_14_1 = e10
% 239.98/46.88  | | 
% 239.98/46.88  | | SIMP: (10) implies:
% 239.98/46.88  | |   (11)  all_14_1 = e10
% 239.98/46.88  | | 
% 239.98/46.88  | | REDUCE: (4), (11) imply:
% 239.98/46.88  | |   (12)  $false
% 239.98/46.88  | | 
% 239.98/46.88  | | CLOSE: (12) is inconsistent.
% 239.98/46.88  | | 
% 239.98/46.88  | End of split
% 239.98/46.88  | 
% 239.98/46.88  End of proof
% 239.98/46.88  
% 239.98/46.88  Sub-proof #6 shows that the following formulas are inconsistent:
% 239.98/46.88  ----------------------------------------------------------------
% 239.98/46.88    (1)  all_25_24 = e13 & op1(e10, e10) = e13
% 239.98/46.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.88           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.88    (3)  op1(e10, e10) = all_14_24
% 239.98/46.88    (4)   ~ (all_14_24 = e13)
% 239.98/46.88  
% 239.98/46.88  Begin of proof
% 239.98/46.88  | 
% 239.98/46.88  | ALPHA: (1) implies:
% 239.98/46.88  |   (5)  op1(e10, e10) = e13
% 239.98/46.88  | 
% 239.98/46.89  | GROUND_INST: instantiating (2) with all_14_24, e13, e10, e10, simplifying with
% 239.98/46.89  |              (3), (5) gives:
% 239.98/46.89  |   (6)  all_14_24 = e13
% 239.98/46.89  | 
% 239.98/46.89  | REDUCE: (4), (6) imply:
% 239.98/46.89  |   (7)  $false
% 239.98/46.89  | 
% 239.98/46.89  | CLOSE: (7) is inconsistent.
% 239.98/46.89  | 
% 239.98/46.89  End of proof
% 239.98/46.89  
% 239.98/46.89  Sub-proof #7 shows that the following formulas are inconsistent:
% 239.98/46.89  ----------------------------------------------------------------
% 239.98/46.89    (1)   ~ (e14 = e10)
% 239.98/46.89    (2)  all_25_1 = e12
% 239.98/46.89    (3)   ~ (e14 = e11)
% 239.98/46.89    (4)   ~ (e14 = e13)
% 239.98/46.89    (5)  op1(e14, e11) = all_14_15
% 239.98/46.89    (6)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.89    (7)  all_25_4 = e11
% 239.98/46.89    (8)  all_25_0 = e13
% 239.98/46.89    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.89           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.89    (10)  all_25_22 = e10
% 239.98/46.89    (11)   ~ (all_14_15 = e14)
% 239.98/46.89    (12)  all_25_16 = e14
% 239.98/46.89    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 239.98/46.89            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 239.98/46.89            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.98/46.89    (14)   ~ (e14 = e12)
% 239.98/46.89  
% 239.98/46.89  Begin of proof
% 239.98/46.89  | 
% 239.98/46.89  | ALPHA: (6) implies:
% 239.98/46.89  |   (15)  all_25_22 = e14
% 239.98/46.89  | 
% 239.98/46.89  | COMBINE_EQS: (10), (15) imply:
% 239.98/46.89  |   (16)  e14 = e10
% 239.98/46.89  | 
% 239.98/46.89  | SIMP: (16) implies:
% 239.98/46.89  |   (17)  e14 = e10
% 239.98/46.89  | 
% 239.98/46.89  | COMBINE_EQS: (12), (17) imply:
% 239.98/46.89  |   (18)  all_25_16 = e10
% 239.98/46.89  | 
% 239.98/46.89  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (13), (14), (18) are
% 239.98/46.89  |            inconsistent by sub-proof #158.
% 239.98/46.89  | 
% 239.98/46.89  End of proof
% 239.98/46.89  
% 239.98/46.89  Sub-proof #8 shows that the following formulas are inconsistent:
% 239.98/46.89  ----------------------------------------------------------------
% 239.98/46.89    (1)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 & op1(e12, e11)
% 239.98/46.89           = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 239.98/46.89    (2)   ~ (e12 = e11)
% 239.98/46.89    (3)  all_25_11 = e13
% 239.98/46.89    (4)   ~ (e13 = e11)
% 239.98/46.89    (5)   ~ (e11 = e10)
% 239.98/46.89    (6)  all_25_18 = e10
% 239.98/46.89    (7)  all_25_8 = e12
% 239.98/46.89  
% 239.98/46.89  Begin of proof
% 239.98/46.89  | 
% 239.98/46.89  | BETA: splitting (1) gives:
% 239.98/46.89  | 
% 239.98/46.89  | Case 1:
% 239.98/46.89  | | 
% 239.98/46.89  | |   (8)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.98/46.89  | | 
% 239.98/46.89  | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #1079.
% 239.98/46.89  | | 
% 239.98/46.89  | Case 2:
% 239.98/46.89  | | 
% 239.98/46.89  | |   (9)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12,
% 239.98/46.89  | |            e10) = e11)
% 239.98/46.89  | | 
% 239.98/46.89  | | BETA: splitting (9) gives:
% 239.98/46.89  | | 
% 239.98/46.89  | | Case 1:
% 239.98/46.89  | | | 
% 239.98/46.89  | | |   (10)  all_25_11 = e11 & op1(e12, e11) = e11
% 239.98/46.89  | | | 
% 239.98/46.89  | | | ALPHA: (10) implies:
% 239.98/46.89  | | |   (11)  all_25_11 = e11
% 239.98/46.89  | | | 
% 239.98/46.89  | | | COMBINE_EQS: (3), (11) imply:
% 239.98/46.89  | | |   (12)  e13 = e11
% 239.98/46.89  | | | 
% 239.98/46.89  | | | SIMP: (12) implies:
% 239.98/46.89  | | |   (13)  e13 = e11
% 239.98/46.89  | | | 
% 239.98/46.89  | | | REDUCE: (4), (13) imply:
% 239.98/46.89  | | |   (14)  $false
% 239.98/46.89  | | | 
% 239.98/46.89  | | | CLOSE: (14) is inconsistent.
% 239.98/46.89  | | | 
% 239.98/46.89  | | Case 2:
% 239.98/46.89  | | | 
% 239.98/46.89  | | |   (15)  all_25_18 = e11 & op1(e12, e10) = e11
% 239.98/46.89  | | | 
% 239.98/46.89  | | | REF_CLOSE: (5), (6), (15) are inconsistent by sub-proof #393.
% 239.98/46.89  | | | 
% 239.98/46.89  | | End of split
% 239.98/46.89  | | 
% 239.98/46.89  | End of split
% 239.98/46.89  | 
% 239.98/46.89  End of proof
% 239.98/46.89  
% 239.98/46.89  Sub-proof #9 shows that the following formulas are inconsistent:
% 239.98/46.89  ----------------------------------------------------------------
% 239.98/46.89    (1)   ~ (e14 = e10)
% 239.98/46.89    (2)  all_25_1 = e12
% 239.98/46.89    (3)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.98/46.89    (4)   ~ (e14 = e11)
% 239.98/46.89    (5)   ~ (e14 = e13)
% 239.98/46.89    (6)  op1(e14, e11) = all_14_15
% 239.98/46.89    (7)  all_25_4 = e11
% 239.98/46.89    (8)  all_25_0 = e13
% 239.98/46.89    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.89           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.89    (10)  all_25_20 = e10
% 239.98/46.89    (11)   ~ (all_14_15 = e14)
% 239.98/46.89    (12)  all_25_16 = e14
% 239.98/46.89    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 239.98/46.89            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 239.98/46.89            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 239.98/46.89    (14)   ~ (e14 = e12)
% 239.98/46.89  
% 239.98/46.89  Begin of proof
% 239.98/46.89  | 
% 239.98/46.89  | ALPHA: (3) implies:
% 239.98/46.89  |   (15)  all_25_20 = e14
% 239.98/46.89  | 
% 239.98/46.89  | COMBINE_EQS: (10), (15) imply:
% 239.98/46.89  |   (16)  e14 = e10
% 239.98/46.89  | 
% 239.98/46.89  | COMBINE_EQS: (12), (16) imply:
% 239.98/46.89  |   (17)  all_25_16 = e10
% 239.98/46.89  | 
% 239.98/46.89  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (14), (17) are
% 239.98/46.89  |            inconsistent by sub-proof #158.
% 239.98/46.89  | 
% 239.98/46.89  End of proof
% 239.98/46.89  
% 239.98/46.89  Sub-proof #10 shows that the following formulas are inconsistent:
% 239.98/46.89  ----------------------------------------------------------------
% 239.98/46.89    (1)  all_25_9 = e10
% 239.98/46.89    (2)   ~ (e14 = e10)
% 239.98/46.89    (3)  all_25_2 = e12
% 239.98/46.89    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 239.98/46.89           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 239.98/46.89           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.89    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 239.98/46.89           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 239.98/46.89           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.98/46.89    (6)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 239.98/46.89           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 239.98/46.89           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 239.98/46.89    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 239.98/46.89           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 239.98/46.89           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.98/46.89    (8)   ~ (e12 = e11)
% 239.98/46.89    (9)   ~ (e14 = e11)
% 239.98/46.89    (10)   ~ (e13 = e10)
% 239.98/46.89    (11)  op1(e11, e12) = all_14_13
% 239.98/46.89    (12)   ~ (e14 = e13)
% 239.98/46.89    (13)   ~ (all_14_15 = e12)
% 239.98/46.89    (14)  all_25_11 = e13
% 239.98/46.89    (15)  op1(e14, e11) = all_14_15
% 239.98/46.89    (16)  op1(e13, e11) = e14
% 239.98/46.89    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.89            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.89    (18)   ~ (e13 = e11)
% 239.98/46.89    (19)  op1(e13, e12) = e10
% 239.98/46.89    (20)   ~ (e11 = e10)
% 239.98/46.89    (21)   ~ (all_14_13 = e10)
% 239.98/46.89    (22)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 & op1(e11,
% 239.98/46.89              e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 239.98/46.89    (23)   ~ (e13 = e12)
% 239.98/46.89    (24)  op1(e13, e13) = e11
% 239.98/46.89    (25)   ~ (e12 = e10)
% 239.98/46.89    (26)  all_25_10 = e14
% 239.98/46.89    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 239.98/46.89            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 239.98/46.89            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.89    (28)  op1(e11, e10) = e11
% 239.98/46.89    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 239.98/46.89            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 239.98/46.89            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 239.98/46.89    (30)   ~ (e14 = e12)
% 239.98/46.89  
% 239.98/46.89  Begin of proof
% 239.98/46.89  | 
% 239.98/46.89  | BETA: splitting (22) gives:
% 239.98/46.89  | 
% 239.98/46.89  | Case 1:
% 239.98/46.89  | | 
% 239.98/46.89  | |   (31)  all_25_14 = e10 & op1(e11, e12) = e10
% 239.98/46.89  | | 
% 239.98/46.89  | | ALPHA: (31) implies:
% 239.98/46.89  | |   (32)  op1(e11, e12) = e10
% 239.98/46.89  | | 
% 239.98/46.89  | | REF_CLOSE: (11), (17), (21), (32) are inconsistent by sub-proof #1158.
% 239.98/46.89  | | 
% 239.98/46.89  | Case 2:
% 239.98/46.89  | | 
% 239.98/46.89  | |   (33)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 239.98/46.89  | |           op1(e11, e10) = e10)
% 239.98/46.89  | | 
% 239.98/46.89  | | BETA: splitting (33) gives:
% 239.98/46.89  | | 
% 239.98/46.89  | | Case 1:
% 239.98/46.89  | | | 
% 239.98/46.89  | | |   (34)  all_25_15 = e10 & op1(e11, e11) = e10
% 239.98/46.89  | | | 
% 239.98/46.89  | | | ALPHA: (34) implies:
% 239.98/46.89  | | |   (35)  all_25_15 = e10
% 239.98/46.89  | | | 
% 239.98/46.89  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 239.98/46.89  | | |            (14), (15), (16), (17), (18), (19), (20), (23), (24), (25),
% 239.98/46.89  | | |            (26), (27), (29), (30), (35) are inconsistent by sub-proof
% 239.98/46.89  | | |            #421.
% 239.98/46.89  | | | 
% 239.98/46.89  | | Case 2:
% 239.98/46.89  | | | 
% 239.98/46.89  | | |   (36)  all_25_19 = e10 & op1(e11, e10) = e10
% 239.98/46.89  | | | 
% 239.98/46.89  | | | REF_CLOSE: (17), (20), (28), (36) are inconsistent by sub-proof #113.
% 239.98/46.89  | | | 
% 239.98/46.89  | | End of split
% 239.98/46.89  | | 
% 239.98/46.89  | End of split
% 239.98/46.89  | 
% 239.98/46.89  End of proof
% 239.98/46.89  
% 239.98/46.89  Sub-proof #11 shows that the following formulas are inconsistent:
% 239.98/46.89  ----------------------------------------------------------------
% 239.98/46.89    (1)   ~ (e14 = e10)
% 239.98/46.89    (2)  all_25_2 = e12
% 239.98/46.89    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 239.98/46.89           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 239.98/46.89           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.89    (4)  all_25_1 = e12
% 239.98/46.89    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 239.98/46.89           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 239.98/46.89           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.98/46.89    (6)   ~ (e12 = e11)
% 239.98/46.89    (7)   ~ (e14 = e11)
% 239.98/46.89    (8)  all_25_3 = e11
% 239.98/46.89    (9)  op1(e10, e13) = e13
% 239.98/46.89    (10)   ~ (e13 = e10)
% 239.98/46.89    (11)   ~ (e14 = e13)
% 239.98/46.89    (12)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 239.98/46.89            = e14)
% 239.98/46.89    (13)  op1(e13, e11) = e14
% 239.98/46.89    (14)  all_25_21 = e13
% 239.98/46.89    (15)  all_25_0 = e13
% 239.98/46.89    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.89            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.89    (17)   ~ (e13 = e11)
% 239.98/46.89    (18)  op1(e13, e12) = e10
% 239.98/46.89    (19)   ~ (e11 = e10)
% 239.98/46.89    (20)   ~ (e13 = e12)
% 239.98/46.89    (21)  op1(e13, e13) = e11
% 239.98/46.89    (22)   ~ (e12 = e10)
% 239.98/46.89    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 239.98/46.89            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 239.98/46.89            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.89    (24)  all_25_7 = e14
% 239.98/46.89    (25)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 239.98/46.89            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 239.98/46.89            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 239.98/46.89    (26)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 239.98/46.89            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 239.98/46.89            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 239.98/46.89    (27)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 239.98/46.89            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 239.98/46.89            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.98/46.89    (28)   ~ (e14 = e12)
% 239.98/46.89    (29)  all_25_17 = e13
% 239.98/46.89  
% 239.98/46.89  Begin of proof
% 239.98/46.89  | 
% 239.98/46.89  | BETA: splitting (12) gives:
% 239.98/46.89  | 
% 239.98/46.89  | Case 1:
% 239.98/46.89  | | 
% 239.98/46.89  | |   (30)  all_25_0 = e14 & op1(e14, e14) = e14
% 239.98/46.89  | | 
% 239.98/46.89  | | ALPHA: (30) implies:
% 239.98/46.89  | |   (31)  all_25_0 = e14
% 239.98/46.89  | | 
% 239.98/46.89  | | COMBINE_EQS: (15), (31) imply:
% 239.98/46.89  | |   (32)  e14 = e13
% 239.98/46.89  | | 
% 239.98/46.89  | | SIMP: (32) implies:
% 239.98/46.89  | |   (33)  e14 = e13
% 239.98/46.89  | | 
% 239.98/46.89  | | COMBINE_EQS: (24), (33) imply:
% 239.98/46.89  | |   (34)  all_25_7 = e13
% 239.98/46.89  | | 
% 239.98/46.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 239.98/46.90  | |            (16), (17), (18), (19), (20), (21), (22), (23), (25), (26), (27),
% 239.98/46.90  | |            (28), (29), (34) are inconsistent by sub-proof #1255.
% 239.98/46.90  | | 
% 239.98/46.90  | Case 2:
% 239.98/46.90  | | 
% 239.98/46.90  | |   (35)  all_25_2 = e14 & op1(e13, e14) = e14
% 239.98/46.90  | | 
% 239.98/46.90  | | REF_CLOSE: (3), (6), (10), (11), (13), (16), (17), (18), (20), (21), (22),
% 239.98/46.90  | |            (23), (28), (35) are inconsistent by sub-proof #1185.
% 239.98/46.90  | | 
% 239.98/46.90  | End of split
% 239.98/46.90  | 
% 239.98/46.90  End of proof
% 239.98/46.90  
% 239.98/46.90  Sub-proof #12 shows that the following formulas are inconsistent:
% 239.98/46.90  ----------------------------------------------------------------
% 239.98/46.90    (1)   ~ (all_14_10 = e10)
% 239.98/46.90    (2)   ~ (e14 = e10)
% 239.98/46.90    (3)  all_25_2 = e12
% 239.98/46.90    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 239.98/46.90           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 239.98/46.90           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.90    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 239.98/46.90           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 239.98/46.90           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.98/46.90    (6)  all_25_15 = e12
% 239.98/46.90    (7)  all_25_1 = e12
% 239.98/46.90    (8)  op1(e14, unit1) = e14
% 239.98/46.90    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 239.98/46.90           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 239.98/46.90           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.98/46.90    (10)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 239.98/46.90              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 239.98/46.90            e10 & op1(e11, e10) = e10)
% 239.98/46.90    (11)  all_25_14 = e13
% 239.98/46.90    (12)   ~ (e12 = e11)
% 239.98/46.90    (13)   ~ (e14 = e11)
% 239.98/46.90    (14)  all_25_3 = e11
% 239.98/46.90    (15)  op1(e10, e13) = e13
% 239.98/46.90    (16)  all_25_4 = e14
% 239.98/46.90    (17)   ~ (e13 = e10)
% 239.98/46.90    (18)   ~ (e14 = e13)
% 239.98/46.90    (19)  all_25_11 = e13
% 239.98/46.90    (20)  op1(e13, unit1) = e13
% 239.98/46.90    (21)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 239.98/46.90            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 239.98/46.90            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.98/46.90    (22)  op1(e13, e11) = e14
% 239.98/46.90    (23)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 239.98/46.90              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 239.98/46.90            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 239.98/46.90    (24)  all_25_21 = e13
% 239.98/46.90    (25)  all_25_0 = e13
% 239.98/46.90    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.90            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.90    (27)   ~ (e13 = e11)
% 239.98/46.90    (28)  op1(e13, e12) = e10
% 239.98/46.90    (29)  op1(e12, unit1) = e12
% 239.98/46.90    (30)   ~ (e11 = e10)
% 239.98/46.90    (31)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 239.98/46.90              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 239.98/46.90            e10 & op1(e10, e11) = e10)
% 239.98/46.90    (32)   ~ (e13 = e12)
% 239.98/46.90    (33)  op1(e13, e13) = e11
% 239.98/46.90    (34)   ~ (e12 = e10)
% 239.98/46.90    (35)  all_25_10 = e14
% 239.98/46.90    (36)   ~ (all_14_19 = e14)
% 239.98/46.90    (37)  all_25_8 = e12
% 239.98/46.90    (38)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 239.98/46.90            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 239.98/46.90            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.90    (39)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 239.98/46.90              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 239.98/46.90            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 239.98/46.90    (40)  op1(e14, e10) = all_14_20
% 239.98/46.90    (41)   ~ (all_14_20 = e12)
% 239.98/46.90    (42)  op1(e13, e10) = e13
% 239.98/46.90    (43)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 239.98/46.90    (44)  op1(e14, e12) = all_14_10
% 239.98/46.90    (45)  op1(e11, unit1) = e11
% 239.98/46.90    (46)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 239.98/46.90            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 239.98/46.90            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 239.98/46.90    (47)  op1(e10, e11) = all_14_19
% 239.98/46.90    (48)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 239.98/46.90              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 239.98/46.90            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 239.98/46.90    (49)  op1(e13, e14) = e12
% 239.98/46.90    (50)   ~ (e14 = e12)
% 239.98/46.90    (51)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 239.98/46.90            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 239.98/46.90            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.98/46.90    (52)  all_25_17 = e13
% 239.98/46.90  
% 239.98/46.90  Begin of proof
% 239.98/46.90  | 
% 239.98/46.90  | BETA: splitting (51) gives:
% 239.98/46.90  | 
% 239.98/46.90  | Case 1:
% 239.98/46.90  | | 
% 239.98/46.90  | |   (53)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 239.98/46.90  | |             e12) = e11)
% 239.98/46.90  | | 
% 239.98/46.90  | | BETA: splitting (53) gives:
% 239.98/46.90  | | 
% 239.98/46.90  | | Case 1:
% 239.98/46.90  | | | 
% 239.98/46.90  | | |   (54)  all_25_4 = e11 & op1(e14, e12) = e11
% 239.98/46.90  | | | 
% 239.98/46.90  | | | REF_CLOSE: (13), (16), (54) are inconsistent by sub-proof #921.
% 239.98/46.90  | | | 
% 239.98/46.90  | | Case 2:
% 239.98/46.90  | | | 
% 239.98/46.90  | | |   (55)  all_25_5 = e11 & op1(e13, e12) = e11
% 239.98/46.90  | | | 
% 239.98/46.90  | | | REF_CLOSE: (26), (28), (30), (55) are inconsistent by sub-proof #1285.
% 239.98/46.90  | | | 
% 239.98/46.90  | | End of split
% 239.98/46.90  | | 
% 239.98/46.90  | Case 2:
% 239.98/46.90  | | 
% 239.98/46.90  | |   (56)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 & op1(e11,
% 239.98/46.90  | |             e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 239.98/46.90  | | 
% 239.98/46.90  | | BETA: splitting (56) gives:
% 239.98/46.90  | | 
% 239.98/46.90  | | Case 1:
% 239.98/46.90  | | | 
% 239.98/46.90  | | |   (57)  all_25_8 = e11 & op1(e12, e12) = e11
% 239.98/46.90  | | | 
% 239.98/46.90  | | | ALPHA: (57) implies:
% 239.98/46.90  | | |   (58)  all_25_8 = e11
% 239.98/46.90  | | | 
% 239.98/46.90  | | | REF_CLOSE: (12), (37), (58) are inconsistent by sub-proof #1003.
% 239.98/46.90  | | | 
% 239.98/46.90  | | Case 2:
% 239.98/46.90  | | | 
% 239.98/46.90  | | |   (59)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 239.98/46.90  | | |           op1(e10, e12) = e11)
% 239.98/46.90  | | | 
% 239.98/46.90  | | | BETA: splitting (59) gives:
% 239.98/46.90  | | | 
% 239.98/46.90  | | | Case 1:
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | |   (60)  all_25_14 = e11 & op1(e11, e12) = e11
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | | REF_CLOSE: (11), (27), (60) are inconsistent by sub-proof #477.
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | Case 2:
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | |   (61)  all_25_22 = e11 & op1(e10, e12) = e11
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | | ALPHA: (61) implies:
% 239.98/46.90  | | | |   (62)  all_25_22 = e11
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | | BETA: splitting (39) gives:
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | | Case 1:
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | |   (63)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 239.98/46.90  | | | | |           op1(e10, e13) = e14)
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12), (13),
% 239.98/46.90  | | | | |            (14), (15), (17), (18), (19), (20), (21), (22), (24), (25),
% 239.98/46.90  | | | | |            (26), (27), (28), (30), (31), (32), (33), (34), (35), (38),
% 239.98/46.90  | | | | |            (43), (44), (46), (49), (50), (52), (62), (63) are
% 239.98/46.90  | | | | |            inconsistent by sub-proof #13.
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | Case 2:
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | |   (64)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 239.98/46.90  | | | | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) =
% 239.98/46.90  | | | | |           e14)
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | | BETA: splitting (64) gives:
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | | Case 1:
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | |   (65)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | | REF_CLOSE: (13), (62), (65) are inconsistent by sub-proof #41.
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | Case 2:
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | |   (66)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 239.98/46.90  | | | | | |           op1(e10, e10) = e14)
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | | BETA: splitting (66) gives:
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | | Case 1:
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | |   (67)  all_25_23 = e14 & op1(e10, e11) = e14
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | | ALPHA: (67) implies:
% 239.98/46.90  | | | | | | |   (68)  op1(e10, e11) = e14
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | | REF_CLOSE: (26), (36), (47), (68) are inconsistent by sub-proof
% 239.98/46.90  | | | | | | |            #1257.
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | Case 2:
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | |   (69)  all_25_24 = e14 & op1(e10, e10) = e14
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | | ALPHA: (69) implies:
% 239.98/46.90  | | | | | | |   (70)  all_25_24 = e14
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | | BETA: splitting (48) gives:
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | | Case 1:
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | |   (71)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 =
% 239.98/46.90  | | | | | | | |           e12 & op1(e13, e10) = e12)
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | | REF_CLOSE: (26), (32), (40), (41), (42), (71) are inconsistent
% 239.98/46.90  | | | | | | | |            by sub-proof #145.
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | Case 2:
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | |   (72)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 239.98/46.90  | | | | | | | |           e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 239.98/46.90  | | | | | | | |           op1(e10, e10) = e12)
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | | BETA: splitting (72) gives:
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | | Case 1:
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | |   (73)  all_25_18 = e12 & op1(e12, e10) = e12
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | ALPHA: (73) implies:
% 239.98/46.90  | | | | | | | | |   (74)  all_25_18 = e12
% 239.98/46.90  | | | | | | | | |   (75)  op1(e12, e10) = e12
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (9), (10), (12), (13), (14),
% 239.98/46.90  | | | | | | | | |            (17), (18), (20), (22), (23), (26), (27), (28),
% 239.98/46.90  | | | | | | | | |            (30), (32), (33), (34), (38), (43), (46), (49),
% 239.98/46.90  | | | | | | | | |            (50), (52), (70), (74), (75) are inconsistent by
% 239.98/46.90  | | | | | | | | |            sub-proof #70.
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | Case 2:
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | |   (76)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 =
% 239.98/46.90  | | | | | | | | |           e12 & op1(e10, e10) = e12)
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | BETA: splitting (76) gives:
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | Case 1:
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | |   (77)  all_25_19 = e12 & op1(e11, e10) = e12
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | ALPHA: (77) implies:
% 239.98/46.90  | | | | | | | | | |   (78)  all_25_19 = e12
% 239.98/46.90  | | | | | | | | | |   (79)  op1(e11, e10) = e12
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (9), (10), (12), (13), (14),
% 239.98/46.90  | | | | | | | | | |            (17), (18), (20), (22), (26), (27), (28), (29),
% 239.98/46.90  | | | | | | | | | |            (30), (32), (33), (34), (38), (43), (45), (46),
% 239.98/46.90  | | | | | | | | | |            (49), (50), (78), (79) are inconsistent by
% 239.98/46.90  | | | | | | | | | |            sub-proof #139.
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | Case 2:
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | |   (80)  all_25_24 = e12 & op1(e10, e10) = e12
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | ALPHA: (80) implies:
% 239.98/46.90  | | | | | | | | | |   (81)  all_25_24 = e12
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | BETA: splitting (39) gives:
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | Case 1:
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | |   (82)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 239.98/46.90  | | | | | | | | | | |         (all_25_21 = e14 & op1(e10, e13) = e14)
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12),
% 239.98/46.90  | | | | | | | | | | |            (13), (14), (15), (17), (18), (19), (20), (21),
% 239.98/46.90  | | | | | | | | | | |            (22), (24), (25), (26), (27), (28), (30), (31),
% 239.98/46.90  | | | | | | | | | | |            (32), (33), (34), (35), (38), (43), (44), (46),
% 239.98/46.90  | | | | | | | | | | |            (49), (50), (52), (62), (82) are inconsistent by
% 239.98/46.90  | | | | | | | | | | |            sub-proof #13.
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | Case 2:
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | BETA: splitting (64) gives:
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | Case 1:
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | |   (83)  all_25_22 = e14 & op1(e10, e12) = e14
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | | REF_CLOSE: (13), (62), (83) are inconsistent by sub-proof
% 239.98/46.90  | | | | | | | | | | | |            #41.
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | Case 2:
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | | REF_CLOSE: (26), (36), (47), (50), (66), (81) are
% 239.98/46.90  | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 239.98/46.90  | | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | | End of split
% 239.98/46.90  | | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | | End of split
% 239.98/46.90  | | | | | | | | | | 
% 239.98/46.90  | | | | | | | | | End of split
% 239.98/46.90  | | | | | | | | | 
% 239.98/46.90  | | | | | | | | End of split
% 239.98/46.90  | | | | | | | | 
% 239.98/46.90  | | | | | | | End of split
% 239.98/46.90  | | | | | | | 
% 239.98/46.90  | | | | | | End of split
% 239.98/46.90  | | | | | | 
% 239.98/46.90  | | | | | End of split
% 239.98/46.90  | | | | | 
% 239.98/46.90  | | | | End of split
% 239.98/46.90  | | | | 
% 239.98/46.90  | | | End of split
% 239.98/46.90  | | | 
% 239.98/46.90  | | End of split
% 239.98/46.90  | | 
% 239.98/46.90  | End of split
% 239.98/46.90  | 
% 239.98/46.90  End of proof
% 239.98/46.90  
% 239.98/46.90  Sub-proof #13 shows that the following formulas are inconsistent:
% 239.98/46.90  ----------------------------------------------------------------
% 239.98/46.90    (1)   ~ (all_14_10 = e10)
% 239.98/46.90    (2)   ~ (e14 = e10)
% 239.98/46.90    (3)  all_25_2 = e12
% 239.98/46.90    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 239.98/46.90           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 239.98/46.90           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 239.98/46.90    (5)  all_25_22 = e11
% 239.98/46.90    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 239.98/46.90           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 239.98/46.90           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 239.98/46.90    (7)  all_25_15 = e12
% 239.98/46.90    (8)  all_25_1 = e12
% 239.98/46.90    (9)  op1(e14, unit1) = e14
% 239.98/46.90    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 239.98/46.90            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 239.98/46.90            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 239.98/46.90    (11)   ~ (e12 = e11)
% 239.98/46.90    (12)   ~ (e14 = e11)
% 239.98/46.90    (13)  all_25_3 = e11
% 239.98/46.90    (14)  op1(e10, e13) = e13
% 239.98/46.90    (15)   ~ (e13 = e10)
% 239.98/46.90    (16)   ~ (e14 = e13)
% 239.98/46.90    (17)  all_25_11 = e13
% 239.98/46.90    (18)  op1(e13, unit1) = e13
% 239.98/46.91    (19)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 239.98/46.91            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 239.98/46.91            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 239.98/46.91    (20)  op1(e13, e11) = e14
% 239.98/46.91    (21)  all_25_21 = e13
% 239.98/46.91    (22)  all_25_0 = e13
% 239.98/46.91    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 239.98/46.91            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 239.98/46.91    (24)   ~ (e13 = e11)
% 239.98/46.91    (25)  op1(e13, e12) = e10
% 239.98/46.91    (26)   ~ (e11 = e10)
% 239.98/46.91    (27)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 239.98/46.91              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 239.98/46.91            e10 & op1(e10, e11) = e10)
% 239.98/46.91    (28)   ~ (e13 = e12)
% 239.98/46.91    (29)  op1(e13, e13) = e11
% 239.98/46.91    (30)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 239.98/46.91              e13) = e14)
% 239.98/46.91    (31)   ~ (e12 = e10)
% 239.98/46.91    (32)  all_25_10 = e14
% 239.98/46.91    (33)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 239.98/46.91            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 239.98/46.91            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 239.98/46.91    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 239.98/46.91    (35)  op1(e14, e12) = all_14_10
% 239.98/46.91    (36)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 239.98/46.91            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 239.98/46.91            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 239.98/46.91    (37)  op1(e13, e14) = e12
% 239.98/46.91    (38)   ~ (e14 = e12)
% 239.98/46.91    (39)  all_25_17 = e13
% 239.98/46.91  
% 239.98/46.91  Begin of proof
% 239.98/46.91  | 
% 239.98/46.91  | BETA: splitting (30) gives:
% 239.98/46.91  | 
% 239.98/46.91  | Case 1:
% 239.98/46.91  | | 
% 239.98/46.91  | |   (40)  all_25_20 = e14 & op1(e10, e14) = e14
% 239.98/46.91  | | 
% 239.98/46.91  | | ALPHA: (40) implies:
% 239.98/46.91  | |   (41)  all_25_20 = e14
% 239.98/46.91  | | 
% 239.98/46.91  | | BETA: splitting (27) gives:
% 239.98/46.91  | | 
% 239.98/46.91  | | Case 1:
% 239.98/46.91  | | | 
% 239.98/46.91  | | |   (42)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 &
% 239.98/46.91  | | |           op1(e10, e13) = e10)
% 239.98/46.91  | | | 
% 239.98/46.91  | | | BETA: splitting (42) gives:
% 239.98/46.91  | | | 
% 239.98/46.91  | | | Case 1:
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | |   (43)  all_25_20 = e10 & op1(e10, e14) = e10
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | | REF_CLOSE: (2), (41), (43) are inconsistent by sub-proof #34.
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | Case 2:
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | |   (44)  all_25_21 = e10 & op1(e10, e13) = e10
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | | REF_CLOSE: (2), (3), (4), (12), (13), (15), (16), (21), (23), (24),
% 239.98/46.91  | | | |            (25), (28), (29), (36), (38), (39), (44) are inconsistent by
% 239.98/46.91  | | | |            sub-proof #934.
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | End of split
% 239.98/46.91  | | | 
% 239.98/46.91  | | Case 2:
% 239.98/46.91  | | | 
% 239.98/46.91  | | |   (45)  (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 = e10 &
% 239.98/46.91  | | |           op1(e10, e11) = e10)
% 239.98/46.91  | | | 
% 239.98/46.91  | | | BETA: splitting (45) gives:
% 239.98/46.91  | | | 
% 239.98/46.91  | | | Case 1:
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | |   (46)  all_25_22 = e10 & op1(e10, e12) = e10
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | | ALPHA: (46) implies:
% 239.98/46.91  | | | |   (47)  all_25_22 = e10
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | | REF_CLOSE: (5), (26), (47) are inconsistent by sub-proof #101.
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | Case 2:
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | |   (48)  all_25_23 = e10 & op1(e10, e11) = e10
% 239.98/46.91  | | | | 
% 239.98/46.91  | | | | ALPHA: (48) implies:
% 239.98/46.91  | | | |   (49)  all_25_23 = e10
% 240.18/46.91  | | | | 
% 240.18/46.91  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 240.18/46.91  | | | |            (13), (15), (16), (17), (18), (19), (20), (22), (23), (24),
% 240.18/46.91  | | | |            (25), (26), (28), (29), (31), (32), (33), (34), (35), (36),
% 240.18/46.91  | | | |            (37), (38), (39), (49) are inconsistent by sub-proof #14.
% 240.18/46.91  | | | | 
% 240.18/46.91  | | | End of split
% 240.18/46.91  | | | 
% 240.18/46.91  | | End of split
% 240.18/46.91  | | 
% 240.18/46.91  | Case 2:
% 240.18/46.91  | | 
% 240.18/46.91  | |   (50)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.18/46.91  | | 
% 240.18/46.91  | | ALPHA: (50) implies:
% 240.18/46.91  | |   (51)  op1(e10, e13) = e14
% 240.18/46.91  | | 
% 240.18/46.91  | | REF_CLOSE: (14), (16), (23), (51) are inconsistent by sub-proof #1274.
% 240.18/46.91  | | 
% 240.18/46.91  | End of split
% 240.18/46.91  | 
% 240.18/46.91  End of proof
% 240.18/46.91  
% 240.18/46.91  Sub-proof #14 shows that the following formulas are inconsistent:
% 240.18/46.91  ----------------------------------------------------------------
% 240.18/46.91    (1)   ~ (all_14_10 = e10)
% 240.18/46.91    (2)   ~ (e14 = e10)
% 240.18/46.91    (3)  all_25_2 = e12
% 240.18/46.91    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.18/46.91           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.18/46.91           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.18/46.91    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.18/46.91           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.18/46.91           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.91    (6)  all_25_15 = e12
% 240.18/46.91    (7)  all_25_1 = e12
% 240.18/46.91    (8)  op1(e14, unit1) = e14
% 240.18/46.91    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.18/46.91           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.18/46.91           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.18/46.91    (10)   ~ (e12 = e11)
% 240.18/46.91    (11)   ~ (e14 = e11)
% 240.18/46.91    (12)  all_25_3 = e11
% 240.18/46.91    (13)   ~ (e13 = e10)
% 240.18/46.91    (14)   ~ (e14 = e13)
% 240.18/46.91    (15)  all_25_11 = e13
% 240.18/46.91    (16)  op1(e13, unit1) = e13
% 240.18/46.91    (17)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.18/46.91            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.18/46.91            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.18/46.91    (18)  op1(e13, e11) = e14
% 240.18/46.91    (19)  all_25_0 = e13
% 240.18/46.91    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.18/46.91            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.18/46.91    (21)   ~ (e13 = e11)
% 240.18/46.91    (22)  op1(e13, e12) = e10
% 240.18/46.91    (23)   ~ (e11 = e10)
% 240.18/46.91    (24)   ~ (e13 = e12)
% 240.18/46.91    (25)  op1(e13, e13) = e11
% 240.18/46.91    (26)  all_25_23 = e10
% 240.18/46.91    (27)   ~ (e12 = e10)
% 240.18/46.91    (28)  all_25_10 = e14
% 240.18/46.91    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.18/46.91            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.18/46.91            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.18/46.91    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.91    (31)  op1(e14, e12) = all_14_10
% 240.18/46.91    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.91            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.18/46.91            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.18/46.91    (33)  op1(e13, e14) = e12
% 240.18/46.91    (34)   ~ (e14 = e12)
% 240.18/46.91    (35)  all_25_17 = e13
% 240.18/46.91  
% 240.18/46.91  Begin of proof
% 240.18/46.91  | 
% 240.18/46.91  | BETA: splitting (5) gives:
% 240.18/46.91  | 
% 240.18/46.91  | Case 1:
% 240.18/46.91  | | 
% 240.18/46.91  | |   (36)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 240.18/46.91  | |             e11) = e11)
% 240.18/46.91  | | 
% 240.18/46.91  | | BETA: splitting (36) gives:
% 240.18/46.91  | | 
% 240.18/46.91  | | Case 1:
% 240.18/46.91  | | | 
% 240.18/46.91  | | |   (37)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.18/46.91  | | | 
% 240.18/46.91  | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (12), (13),
% 240.18/46.91  | | |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 240.18/46.91  | | |            (25), (27), (29), (30), (31), (32), (33), (34), (35), (37) are
% 240.18/46.91  | | |            inconsistent by sub-proof #36.
% 240.18/46.91  | | | 
% 240.18/46.91  | | Case 2:
% 240.18/46.91  | | | 
% 240.18/46.91  | | |   (38)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.18/46.91  | | | 
% 240.18/46.91  | | | REF_CLOSE: (11), (28), (38) are inconsistent by sub-proof #984.
% 240.18/46.91  | | | 
% 240.18/46.91  | | End of split
% 240.18/46.91  | | 
% 240.18/46.91  | Case 2:
% 240.18/46.91  | | 
% 240.18/46.91  | |   (39)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.18/46.91  | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.91  | | 
% 240.18/46.91  | | BETA: splitting (39) gives:
% 240.18/46.91  | | 
% 240.18/46.91  | | Case 1:
% 240.18/46.91  | | | 
% 240.18/46.91  | | |   (40)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.18/46.91  | | | 
% 240.18/46.91  | | | REF_CLOSE: (15), (21), (40) are inconsistent by sub-proof #423.
% 240.18/46.91  | | | 
% 240.18/46.91  | | Case 2:
% 240.18/46.91  | | | 
% 240.18/46.91  | | |   (41)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.18/46.91  | | |           op1(e10, e11) = e11)
% 240.18/46.91  | | | 
% 240.18/46.91  | | | REF_CLOSE: (6), (10), (23), (26), (41) are inconsistent by sub-proof #131.
% 240.18/46.91  | | | 
% 240.18/46.91  | | End of split
% 240.18/46.91  | | 
% 240.18/46.91  | End of split
% 240.18/46.91  | 
% 240.18/46.91  End of proof
% 240.18/46.91  
% 240.18/46.91  Sub-proof #15 shows that the following formulas are inconsistent:
% 240.18/46.91  ----------------------------------------------------------------
% 240.18/46.91    (1)   ~ (all_14_10 = e10)
% 240.18/46.91    (2)   ~ (e14 = e10)
% 240.18/46.91    (3)  all_25_2 = e12
% 240.18/46.91    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.18/46.91           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.18/46.91           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.18/46.91    (5)  all_25_1 = e12
% 240.18/46.91    (6)  op1(e14, unit1) = e14
% 240.18/46.91    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.18/46.91           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.18/46.91           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.18/46.91    (8)   ~ (e12 = e11)
% 240.18/46.91    (9)   ~ (e14 = e11)
% 240.18/46.91    (10)  all_25_3 = e11
% 240.18/46.91    (11)   ~ (e13 = e10)
% 240.18/46.91    (12)   ~ (e14 = e13)
% 240.18/46.91    (13)  op1(e13, unit1) = e13
% 240.18/46.91    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.18/46.91            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.18/46.91            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.18/46.91    (15)  op1(e14, e10) = e14
% 240.18/46.91    (16)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14,
% 240.18/46.91              e10) = e11)
% 240.18/46.91    (17)  op1(e13, e11) = e14
% 240.18/46.91    (18)  all_25_0 = e13
% 240.18/46.91    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.18/46.91            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.18/46.91    (20)   ~ (e13 = e11)
% 240.18/46.91    (21)  op1(e13, e12) = e10
% 240.18/46.91    (22)   ~ (e11 = e10)
% 240.18/46.91    (23)   ~ (e13 = e12)
% 240.18/46.91    (24)  op1(e13, e13) = e11
% 240.18/46.91    (25)   ~ (e12 = e10)
% 240.18/46.91    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.18/46.91            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.18/46.91            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.18/46.91    (27)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.91    (28)  op1(e14, e12) = all_14_10
% 240.18/46.91    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.91            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.18/46.91            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.18/46.91    (30)  op1(e13, e14) = e12
% 240.18/46.91    (31)   ~ (e14 = e12)
% 240.18/46.91    (32)  all_25_17 = e13
% 240.18/46.91  
% 240.18/46.91  Begin of proof
% 240.18/46.91  | 
% 240.18/46.91  | BETA: splitting (16) gives:
% 240.18/46.91  | 
% 240.18/46.91  | Case 1:
% 240.18/46.91  | | 
% 240.18/46.91  | |   (33)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.18/46.91  | | 
% 240.18/46.91  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.18/46.91  | |            (13), (14), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 240.18/46.91  | |            (26), (27), (28), (29), (30), (31), (32), (33) are inconsistent
% 240.18/46.91  | |            by sub-proof #36.
% 240.18/46.91  | | 
% 240.18/46.91  | Case 2:
% 240.18/46.91  | | 
% 240.18/46.91  | |   (34)  all_25_16 = e11 & op1(e14, e10) = e11
% 240.18/46.91  | | 
% 240.18/46.91  | | ALPHA: (34) implies:
% 240.18/46.91  | |   (35)  op1(e14, e10) = e11
% 240.18/46.91  | | 
% 240.18/46.92  | | REF_CLOSE: (9), (15), (19), (35) are inconsistent by sub-proof #917.
% 240.18/46.92  | | 
% 240.18/46.92  | End of split
% 240.18/46.92  | 
% 240.18/46.92  End of proof
% 240.18/46.92  
% 240.18/46.92  Sub-proof #16 shows that the following formulas are inconsistent:
% 240.18/46.92  ----------------------------------------------------------------
% 240.18/46.92    (1)  all_25_9 = e10
% 240.18/46.92    (2)   ~ (all_14_10 = e10)
% 240.18/46.92    (3)  op1(e12, e13) = all_14_7
% 240.18/46.92    (4)   ~ (e14 = e10)
% 240.18/46.92    (5)  all_25_2 = e12
% 240.18/46.92    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.18/46.92           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.18/46.92           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.18/46.92    (7)  op1(e10, e14) = e10
% 240.18/46.92    (8)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.18/46.92           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.18/46.92           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.92    (9)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 240.18/46.92           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.92             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 240.18/46.92           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 240.18/46.92           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 240.18/46.92           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 240.18/46.92           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 240.18/46.92           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 240.18/46.92             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 240.18/46.92           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 240.18/46.92           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 240.18/46.92             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 240.18/46.92           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.92           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 240.18/46.92           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.92           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 240.18/46.92           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 240.18/46.92           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.18/46.92           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 240.18/46.92           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 240.18/46.92           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 240.18/46.92           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 240.18/46.92           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.18/46.92             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 240.18/46.92           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 240.18/46.92             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 240.18/46.92           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 240.18/46.92           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 240.18/46.92           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 240.18/46.92           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.92             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 240.18/46.92           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 240.18/46.92             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 240.18/46.92           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 240.18/46.92             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 240.18/46.92         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 240.18/46.92           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.92             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 240.18/46.92           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 240.18/46.92             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 240.18/46.92           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 240.18/46.92           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 240.18/46.92           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 240.18/46.92           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.92             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 240.18/46.92           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 240.18/46.92             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 240.18/46.92           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 240.18/46.92             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.92         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 240.18/46.92           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.92             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 240.18/46.92           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 240.18/46.92             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 240.18/46.92           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 240.18/46.92           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 240.18/46.92           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 240.18/46.92           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.92             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 240.18/46.92           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 240.18/46.92             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 240.18/46.92           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 240.18/46.92             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.92         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 240.18/46.92           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.18/46.92             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 240.18/46.92           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 240.18/46.92             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 240.18/46.92           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 240.18/46.92             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.18/46.92    (10)  all_25_1 = e12
% 240.18/46.92    (11)  op1(e14, unit1) = e14
% 240.18/46.92    (12)  op1(e14, e12) = e11
% 240.18/46.92    (13)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 240.18/46.92              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 240.18/46.92            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 240.18/46.92    (14)   ~ (all_14_15 = e13)
% 240.18/46.92    (15)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.18/46.92            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.18/46.92            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.18/46.92    (16)   ~ (all_14_7 = e12)
% 240.18/46.92    (17)   ~ (e12 = e11)
% 240.18/46.92    (18)   ~ (e14 = e11)
% 240.18/46.92    (19)  all_25_3 = e11
% 240.18/46.92    (20)  op1(e10, e13) = e13
% 240.18/46.92    (21)   ~ (e13 = e10)
% 240.18/46.92    (22)  op1(e14, e14) = e13
% 240.18/46.92    (23)  op1(e11, e12) = all_14_13
% 240.18/46.92    (24)  op1(e10, e12) = e14
% 240.18/46.92    (25)   ~ (e14 = e13)
% 240.18/46.92    (26)   ~ (all_14_15 = e12)
% 240.18/46.92    (27)  op1(e14, e11) = all_14_15
% 240.18/46.92    (28)  op1(e13, unit1) = e13
% 240.18/46.92    (29)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.18/46.92            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.18/46.92            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.18/46.92    (30)  op1(e13, e11) = e14
% 240.18/46.92    (31)  all_25_21 = e13
% 240.18/46.92    (32)  all_25_4 = e11
% 240.18/46.92    (33)  all_25_0 = e13
% 240.18/46.92    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.18/46.92            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.18/46.92    (35)  all_25_15 = e13
% 240.18/46.92    (36)   ~ (e13 = e11)
% 240.18/46.92    (37)  all_25_20 = e10
% 240.18/46.92    (38)  op1(unit1, e11) = e11
% 240.18/46.92    (39)  op1(e13, e12) = e10
% 240.18/46.92    (40)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 240.18/46.92              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 240.18/46.92            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.18/46.92    (41)  op1(e12, unit1) = e12
% 240.18/46.92    (42)   ~ (e11 = e10)
% 240.18/46.92    (43)   ~ (all_14_13 = e10)
% 240.18/46.92    (44)  op1(unit1, e13) = e13
% 240.18/46.92    (45)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.18/46.92            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.18/46.92            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.92    (46)  all_25_22 = e14
% 240.18/46.92    (47)   ~ (e13 = e12)
% 240.18/46.92    (48)  op1(e13, e13) = e11
% 240.18/46.92    (49)  op1(e14, e11) = e10
% 240.18/46.92    (50)   ~ (e12 = e10)
% 240.18/46.92    (51)  all_25_10 = e14
% 240.18/46.92    (52)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.18/46.92            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.18/46.92            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.18/46.92    (53)   ~ (all_14_19 = e14)
% 240.18/46.92    (54)   ~ (all_14_14 = e13)
% 240.18/46.92    (55)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.18/46.92            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.18/46.92            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.18/46.92    (56)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.18/46.92            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.18/46.92            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.18/46.92    (57)   ~ (all_14_15 = e14)
% 240.18/46.92    (58)  op1(e13, e10) = e13
% 240.18/46.92    (59)  op1(e10, unit1) = e10
% 240.18/46.92    (60)  all_25_16 = e14
% 240.18/46.92    (61)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.92    (62)  op1(unit1, e14) = e14
% 240.18/46.92    (63)  op1(e14, e12) = all_14_10
% 240.18/46.92    (64)  op1(e11, e11) = e13
% 240.18/46.92    (65)   ~ (all_14_10 = e12)
% 240.18/46.92    (66)   ~ (all_14_19 = e10)
% 240.18/46.92    (67)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.18/46.92            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.18/46.92            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.18/46.92    (68)  all_25_8 = e13
% 240.18/46.92    (69)  op1(e11, unit1) = e11
% 240.18/46.92    (70)  op1(unit1, e12) = e12
% 240.18/46.92    (71)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.92            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.18/46.92            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.18/46.92    (72)  op1(e10, e11) = all_14_19
% 240.18/46.92    (73)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.92            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.18/46.92            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.18/46.92    (74)  op1(e10, e12) = all_14_14
% 240.18/46.92    (75)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.18/46.92            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.18/46.92            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.18/46.92    (76)  op1(e13, e14) = e12
% 240.18/46.92    (77)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.18/46.92            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.18/46.92            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.18/46.92    (78)   ~ (e14 = e12)
% 240.18/46.92    (79)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.18/46.92            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.18/46.92            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.18/46.92    (80)  op1(e14, e13) = e12
% 240.18/46.93    (81)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.18/46.93            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.18/46.93            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.18/46.93    (82)  all_25_17 = e13
% 240.18/46.93  
% 240.18/46.93  Begin of proof
% 240.18/46.93  | 
% 240.18/46.93  | BETA: splitting (52) gives:
% 240.18/46.93  | 
% 240.18/46.93  | Case 1:
% 240.18/46.93  | | 
% 240.18/46.93  | |   (83)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13,
% 240.18/46.93  | |             e12) = e12)
% 240.18/46.93  | | 
% 240.18/46.93  | | REF_CLOSE: (34), (39), (50), (63), (65), (83) are inconsistent by sub-proof
% 240.18/46.93  | |            #1081.
% 240.18/46.93  | | 
% 240.18/46.93  | Case 2:
% 240.18/46.93  | | 
% 240.18/46.93  | |   (84)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 & op1(e11,
% 240.18/46.93  | |             e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.18/46.93  | | 
% 240.18/46.93  | | BETA: splitting (84) gives:
% 240.18/46.93  | | 
% 240.18/46.93  | | Case 1:
% 240.18/46.93  | | | 
% 240.18/46.93  | | |   (85)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.18/46.93  | | | 
% 240.18/46.93  | | | REF_CLOSE: (47), (68), (85) are inconsistent by sub-proof #944.
% 240.18/46.93  | | | 
% 240.18/46.93  | | Case 2:
% 240.18/46.93  | | | 
% 240.18/46.93  | | |   (86)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 240.18/46.93  | | |           op1(e10, e12) = e12)
% 240.18/46.93  | | | 
% 240.18/46.93  | | | BETA: splitting (86) gives:
% 240.18/46.93  | | | 
% 240.18/46.93  | | | Case 1:
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | |   (87)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | | ALPHA: (87) implies:
% 240.18/46.93  | | | |   (88)  op1(e11, e12) = e12
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | | BETA: splitting (67) gives:
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | | Case 1:
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | |   (89)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 240.18/46.93  | | | | |           op1(e13, e13) = e10)
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | | REF_CLOSE: (4), (5), (6), (10), (15), (17), (18), (21), (25), (34),
% 240.18/46.93  | | | | |            (36), (39), (42), (47), (48), (50), (56), (71), (78), (89)
% 240.18/46.93  | | | | |            are inconsistent by sub-proof #1279.
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | Case 2:
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | |   (90)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.18/46.93  | | | | |           op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) =
% 240.18/46.93  | | | | |           e10)
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | | BETA: splitting (90) gives:
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | | Case 1:
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | |   (91)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | | ALPHA: (91) implies:
% 240.18/46.93  | | | | | |   (92)  all_25_7 = e10
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | | BETA: splitting (73) gives:
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | | Case 1:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | |   (93)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 &
% 240.18/46.93  | | | | | | |           op1(e13, e13) = e14)
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | BETA: splitting (93) gives:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | |   (94)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | REF_CLOSE: (10), (78), (94) are inconsistent by sub-proof #1292.
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | |   (95)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | REF_CLOSE: (18), (19), (95) are inconsistent by sub-proof #1291.
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | End of split
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | Case 2:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | |   (96)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14
% 240.18/46.93  | | | | | | |           & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10,
% 240.18/46.93  | | | | | | |             e13) = e14)
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | BETA: splitting (96) gives:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | |   (97)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | ALPHA: (97) implies:
% 240.18/46.93  | | | | | | | |   (98)  all_25_7 = e14
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | COMBINE_EQS: (92), (98) imply:
% 240.18/46.93  | | | | | | | |   (99)  e14 = e10
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | SIMP: (99) implies:
% 240.18/46.93  | | | | | | | |   (100)  e14 = e10
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | COMBINE_EQS: (60), (100) imply:
% 240.18/46.93  | | | | | | | |   (101)  all_25_16 = e10
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | REF_CLOSE: (4), (10), (18), (25), (27), (32), (33), (34), (57),
% 240.18/46.93  | | | | | | | |            (77), (78), (101) are inconsistent by sub-proof #158.
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | |   (102)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 =
% 240.18/46.93  | | | | | | | |            e14 & op1(e10, e13) = e14)
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | BETA: splitting (102) gives:
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | |   (103)  all_25_13 = e14 & op1(e11, e13) = e14
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | ALPHA: (103) implies:
% 240.18/46.93  | | | | | | | | |   (104)  all_25_13 = e14
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | BETA: splitting (40) gives:
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | |   (105)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 240.18/46.93  | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | BETA: splitting (105) gives:
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | |   (106)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | ALPHA: (106) implies:
% 240.18/46.93  | | | | | | | | | | |   (107)  all_25_12 = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | BETA: splitting (45) gives:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | |   (108)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 240.18/46.93  | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | BETA: splitting (108) gives:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | |   (109)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | ALPHA: (109) implies:
% 240.18/46.93  | | | | | | | | | | | | |   (110)  all_25_0 = e14
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | COMBINE_EQS: (33), (110) imply:
% 240.18/46.93  | | | | | | | | | | | | |   (111)  e14 = e13
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | SIMP: (111) implies:
% 240.18/46.93  | | | | | | | | | | | | |   (112)  e14 = e13
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | COMBINE_EQS: (104), (112) imply:
% 240.18/46.93  | | | | | | | | | | | | |   (113)  all_25_13 = e13
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (20), (25), (34), (73),
% 240.18/46.93  | | | | | | | | | | | | |            (78), (92), (113) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | | | | | | | |            #1249.
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | |   (114)  all_25_2 = e14 & op1(e13, e14) = e14
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | REF_CLOSE: (6), (17), (21), (25), (30), (34), (36), (39),
% 240.18/46.93  | | | | | | | | | | | | |            (47), (48), (50), (56), (78), (114) are
% 240.18/46.93  | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | |   (115)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 240.18/46.93  | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.93  | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | BETA: splitting (115) gives:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | |   (116)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | ALPHA: (116) implies:
% 240.18/46.93  | | | | | | | | | | | | |   (117)  all_25_6 = e14
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | BETA: splitting (55) gives:
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | |   (118)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 240.18/46.93  | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | |   (119)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | | REF_CLOSE: (33), (36), (119) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | | | | | | | | | |            #1241.
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | |   (120)  all_25_2 = e11 & op1(e13, e14) = e11
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | | REF_CLOSE: (5), (17), (120) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | | | | | | | | | |            #1189.
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | |   (121)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 240.18/46.93  | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.18/46.93  | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | |   (122)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (20), (25), (34), (73),
% 240.18/46.93  | | | | | | | | | | | | | | |            (78), (92), (104), (117), (122) are inconsistent
% 240.18/46.93  | | | | | | | | | | | | | | |            by sub-proof #942.
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | |   (123)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.18/46.93  | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (24), (28), (34), (39), (42), (47),
% 240.18/46.93  | | | | | | | | | | | | | | |            (59), (61), (62), (66), (70), (72), (76), (107),
% 240.18/46.93  | | | | | | | | | | | | | | |            (123) are inconsistent by sub-proof #1163.
% 240.18/46.93  | | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | |   (124)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.93  | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (25), (27), (32), (33), (34),
% 240.18/46.93  | | | | | | | | | | | | |            (37), (57), (60), (77), (78), (107), (124) are
% 240.18/46.93  | | | | | | | | | | | | |            inconsistent by sub-proof #26.
% 240.18/46.93  | | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | |   (125)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | ALPHA: (125) implies:
% 240.18/46.93  | | | | | | | | | | |   (126)  all_25_13 = e10
% 240.18/46.93  | | | | | | | | | | |   (127)  op1(e11, e13) = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 240.18/46.93  | | | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 240.18/46.93  | | | | | | | | | | |            (19), (20), (21), (22), (24), (25), (26), (27),
% 240.18/46.93  | | | | | | | | | | |            (28), (29), (30), (32), (33), (34), (35), (36),
% 240.18/46.93  | | | | | | | | | | |            (37), (38), (39), (41), (42), (44), (45), (47),
% 240.18/46.93  | | | | | | | | | | |            (48), (49), (50), (51), (53), (54), (55), (56),
% 240.18/46.93  | | | | | | | | | | |            (57), (58), (59), (60), (61), (62), (63), (64),
% 240.18/46.93  | | | | | | | | | | |            (66), (68), (69), (70), (71), (72), (73), (74),
% 240.18/46.93  | | | | | | | | | | |            (75), (76), (77), (78), (79), (80), (81), (82),
% 240.18/46.93  | | | | | | | | | | |            (88), (126), (127) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | | | | | |            #17.
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | |   (128)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.18/46.93  | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.18/46.93  | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | BETA: splitting (128) gives:
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | |   (129)  all_25_14 = e10 & op1(e11, e12) = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | ALPHA: (129) implies:
% 240.18/46.93  | | | | | | | | | | |   (130)  op1(e11, e12) = e10
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | REF_CLOSE: (23), (34), (43), (130) are inconsistent by
% 240.18/46.93  | | | | | | | | | | |            sub-proof #1158.
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | |   (131)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.18/46.93  | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | BETA: splitting (131) gives:
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | Case 1:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | |   (132)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (18), (19), (21), (25), (34), (35),
% 240.18/46.93  | | | | | | | | | | | |            (36), (39), (47), (48), (71), (78), (82), (132)
% 240.18/46.93  | | | | | | | | | | | |            are inconsistent by sub-proof #436.
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | |   (133)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | | REF_CLOSE: (21), (25), (28), (30), (34), (39), (47), (61),
% 240.18/46.93  | | | | | | | | | | | |            (69), (76), (133) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | | | | | | |            #115.
% 240.18/46.93  | | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | Case 2:
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | |   (134)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | ALPHA: (134) implies:
% 240.18/46.93  | | | | | | | | |   (135)  op1(e10, e13) = e14
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | | REF_CLOSE: (21), (25), (28), (34), (39), (44), (47), (59),
% 240.18/46.93  | | | | | | | | |            (61), (66), (72), (76), (135) are inconsistent by
% 240.18/46.93  | | | | | | | | |            sub-proof #164.
% 240.18/46.93  | | | | | | | | | 
% 240.18/46.93  | | | | | | | | End of split
% 240.18/46.93  | | | | | | | | 
% 240.18/46.93  | | | | | | | End of split
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | End of split
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | Case 2:
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | |   (136)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10
% 240.18/46.93  | | | | | |            & op1(e10, e13) = e10)
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | | BETA: splitting (136) gives:
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | | Case 1:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | |   (137)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | ALPHA: (137) implies:
% 240.18/46.93  | | | | | | |   (138)  all_25_13 = e10
% 240.18/46.93  | | | | | | |   (139)  op1(e11, e13) = e10
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 240.18/46.93  | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18), (19),
% 240.18/46.93  | | | | | | |            (20), (21), (22), (24), (25), (26), (27), (28), (29),
% 240.18/46.93  | | | | | | |            (30), (32), (33), (34), (35), (36), (37), (38), (39),
% 240.18/46.93  | | | | | | |            (41), (42), (44), (45), (47), (48), (49), (50), (51),
% 240.18/46.93  | | | | | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 240.18/46.93  | | | | | | |            (62), (63), (64), (66), (68), (69), (70), (71), (72),
% 240.18/46.93  | | | | | | |            (73), (74), (75), (76), (77), (78), (79), (80), (81),
% 240.18/46.93  | | | | | | |            (82), (88), (138), (139) are inconsistent by sub-proof
% 240.18/46.93  | | | | | | |            #17.
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | Case 2:
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | |   (140)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | | REF_CLOSE: (4), (5), (6), (18), (19), (21), (25), (31), (34),
% 240.18/46.93  | | | | | | |            (36), (39), (47), (48), (71), (78), (82), (140) are
% 240.18/46.93  | | | | | | |            inconsistent by sub-proof #934.
% 240.18/46.93  | | | | | | | 
% 240.18/46.93  | | | | | | End of split
% 240.18/46.93  | | | | | | 
% 240.18/46.93  | | | | | End of split
% 240.18/46.93  | | | | | 
% 240.18/46.93  | | | | End of split
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | Case 2:
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | |   (141)  all_25_22 = e12 & op1(e10, e12) = e12
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | | ALPHA: (141) implies:
% 240.18/46.93  | | | |   (142)  all_25_22 = e12
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | | REF_CLOSE: (46), (78), (142) are inconsistent by sub-proof #1209.
% 240.18/46.93  | | | | 
% 240.18/46.93  | | | End of split
% 240.18/46.93  | | | 
% 240.18/46.93  | | End of split
% 240.18/46.93  | | 
% 240.18/46.93  | End of split
% 240.18/46.93  | 
% 240.18/46.93  End of proof
% 240.18/46.93  
% 240.18/46.93  Sub-proof #17 shows that the following formulas are inconsistent:
% 240.18/46.93  ----------------------------------------------------------------
% 240.18/46.93    (1)  all_25_9 = e10
% 240.18/46.93    (2)   ~ (all_14_10 = e10)
% 240.18/46.93    (3)  op1(e12, e13) = all_14_7
% 240.18/46.93    (4)   ~ (e14 = e10)
% 240.18/46.93    (5)  all_25_2 = e12
% 240.18/46.93    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.18/46.93           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.18/46.93           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.18/46.93    (7)  op1(e10, e14) = e10
% 240.18/46.93    (8)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.18/46.93           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.18/46.93           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.94    (9)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 240.18/46.94           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.94             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 240.18/46.94           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 240.18/46.94           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 240.18/46.94           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 240.18/46.94           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 240.18/46.94           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 240.18/46.94             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 240.18/46.94           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 240.18/46.94           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 240.18/46.94             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 240.18/46.94           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.94           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 240.18/46.94           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.94           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 240.18/46.94           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 240.18/46.94           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.18/46.94           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 240.18/46.94           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 240.18/46.94           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 240.18/46.94           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 240.18/46.94           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.18/46.94             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 240.18/46.94           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 240.18/46.94             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 240.18/46.94           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 240.18/46.94           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 240.18/46.94           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 240.18/46.94           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.94             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 240.18/46.94           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 240.18/46.94             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 240.18/46.94           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 240.18/46.94             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 240.18/46.94         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 240.18/46.94           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.94             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 240.18/46.94           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 240.18/46.94             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 240.18/46.94           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 240.18/46.94           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 240.18/46.94           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 240.18/46.94           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.94             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 240.18/46.94           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 240.18/46.94             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 240.18/46.94           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 240.18/46.94             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.94         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 240.18/46.94           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.94             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 240.18/46.94           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 240.18/46.94             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 240.18/46.94           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 240.18/46.94           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 240.18/46.94           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 240.18/46.94           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.94             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 240.18/46.94           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 240.18/46.94             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 240.18/46.94           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 240.18/46.94             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.94         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 240.18/46.94           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.18/46.94             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 240.18/46.94           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 240.18/46.94             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 240.18/46.94           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 240.18/46.94             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.18/46.94    (10)  all_25_1 = e12
% 240.18/46.94    (11)  op1(e14, unit1) = e14
% 240.18/46.94    (12)  op1(e14, e12) = e11
% 240.18/46.94    (13)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 240.18/46.94              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 240.18/46.94            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 240.18/46.94    (14)   ~ (all_14_15 = e13)
% 240.18/46.94    (15)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.18/46.94            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.18/46.94            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.18/46.94    (16)   ~ (all_14_7 = e12)
% 240.18/46.94    (17)   ~ (e12 = e11)
% 240.18/46.94    (18)   ~ (e14 = e11)
% 240.18/46.94    (19)  all_25_3 = e11
% 240.18/46.94    (20)  op1(e11, e13) = e10
% 240.18/46.94    (21)  op1(e10, e13) = e13
% 240.18/46.94    (22)   ~ (e13 = e10)
% 240.18/46.94    (23)  op1(e14, e14) = e13
% 240.18/46.94    (24)  op1(e10, e12) = e14
% 240.18/46.94    (25)   ~ (e14 = e13)
% 240.18/46.94    (26)   ~ (all_14_15 = e12)
% 240.18/46.94    (27)  op1(e14, e11) = all_14_15
% 240.18/46.94    (28)  op1(e13, unit1) = e13
% 240.18/46.94    (29)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.18/46.94            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.18/46.94            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.18/46.94    (30)  op1(e13, e11) = e14
% 240.18/46.94    (31)  all_25_4 = e11
% 240.18/46.94    (32)  all_25_0 = e13
% 240.18/46.94    (33)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.18/46.94            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.18/46.94    (34)  all_25_13 = e10
% 240.18/46.94    (35)  all_25_15 = e13
% 240.18/46.94    (36)   ~ (e13 = e11)
% 240.18/46.94    (37)  all_25_20 = e10
% 240.18/46.94    (38)  op1(unit1, e11) = e11
% 240.18/46.94    (39)  op1(e13, e12) = e10
% 240.18/46.94    (40)  op1(e12, unit1) = e12
% 240.18/46.94    (41)   ~ (e11 = e10)
% 240.18/46.94    (42)  op1(unit1, e13) = e13
% 240.18/46.94    (43)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.18/46.94            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.18/46.94            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.94    (44)   ~ (e13 = e12)
% 240.18/46.94    (45)  op1(e13, e13) = e11
% 240.18/46.94    (46)  op1(e14, e11) = e10
% 240.18/46.94    (47)   ~ (e12 = e10)
% 240.18/46.94    (48)  all_25_10 = e14
% 240.18/46.94    (49)   ~ (all_14_19 = e14)
% 240.18/46.94    (50)  op1(e11, e12) = e12
% 240.18/46.94    (51)   ~ (all_14_14 = e13)
% 240.18/46.94    (52)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.18/46.94            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.18/46.94            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.18/46.94    (53)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.18/46.94            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.18/46.94            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.18/46.94    (54)   ~ (all_14_15 = e14)
% 240.18/46.94    (55)  op1(e13, e10) = e13
% 240.18/46.94    (56)  op1(e10, unit1) = e10
% 240.18/46.94    (57)  all_25_16 = e14
% 240.18/46.94    (58)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.94    (59)  op1(unit1, e14) = e14
% 240.18/46.94    (60)  op1(e14, e12) = all_14_10
% 240.18/46.94    (61)  op1(e11, e11) = e13
% 240.18/46.94    (62)   ~ (all_14_19 = e10)
% 240.18/46.94    (63)  all_25_8 = e13
% 240.18/46.94    (64)  op1(e11, unit1) = e11
% 240.18/46.94    (65)  op1(unit1, e12) = e12
% 240.18/46.94    (66)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.94            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.18/46.94            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.18/46.94    (67)  op1(e10, e11) = all_14_19
% 240.18/46.94    (68)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.18/46.94            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.18/46.94            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.18/46.94    (69)  op1(e10, e12) = all_14_14
% 240.18/46.94    (70)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.18/46.94            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.18/46.94            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.18/46.94    (71)  op1(e13, e14) = e12
% 240.18/46.94    (72)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.18/46.94            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.18/46.94            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.18/46.94    (73)   ~ (e14 = e12)
% 240.18/46.94    (74)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.18/46.94            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.18/46.94            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.18/46.94    (75)  op1(e14, e13) = e12
% 240.18/46.94    (76)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.18/46.94            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.18/46.94            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.18/46.94    (77)  all_25_17 = e13
% 240.18/46.94  
% 240.18/46.94  Begin of proof
% 240.18/46.94  | 
% 240.18/46.94  | BETA: splitting (68) gives:
% 240.18/46.94  | 
% 240.18/46.94  | Case 1:
% 240.18/46.94  | | 
% 240.18/46.94  | |   (78)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 240.18/46.94  | |             e13) = e14)
% 240.18/46.94  | | 
% 240.18/46.94  | | BETA: splitting (78) gives:
% 240.18/46.94  | | 
% 240.18/46.94  | | Case 1:
% 240.18/46.94  | | | 
% 240.18/46.94  | | |   (79)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.18/46.94  | | | 
% 240.18/46.94  | | | REF_CLOSE: (10), (73), (79) are inconsistent by sub-proof #1292.
% 240.18/46.94  | | | 
% 240.18/46.94  | | Case 2:
% 240.18/46.94  | | | 
% 240.18/46.94  | | |   (80)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.18/46.94  | | | 
% 240.18/46.94  | | | REF_CLOSE: (18), (19), (80) are inconsistent by sub-proof #1291.
% 240.18/46.94  | | | 
% 240.18/46.94  | | End of split
% 240.18/46.94  | | 
% 240.18/46.94  | Case 2:
% 240.18/46.94  | | 
% 240.18/46.94  | |   (81)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 240.18/46.94  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.18/46.94  | | 
% 240.18/46.94  | | BETA: splitting (81) gives:
% 240.18/46.94  | | 
% 240.18/46.94  | | Case 1:
% 240.18/46.94  | | | 
% 240.18/46.94  | | |   (82)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.18/46.94  | | | 
% 240.18/46.94  | | | ALPHA: (82) implies:
% 240.18/46.94  | | |   (83)  all_25_7 = e14
% 240.18/46.94  | | | 
% 240.18/46.94  | | | BETA: splitting (70) gives:
% 240.18/46.94  | | | 
% 240.18/46.94  | | | Case 1:
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | |   (84)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 &
% 240.18/46.94  | | | |           op1(e12, e13) = e10)
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | | BETA: splitting (84) gives:
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | | Case 1:
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | |   (85)  all_25_6 = e10 & op1(e12, e14) = e10
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | ALPHA: (85) implies:
% 240.18/46.94  | | | | |   (86)  all_25_6 = e10
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | REF_CLOSE: (4), (5), (6), (10), (17), (18), (19), (21), (22), (24),
% 240.18/46.94  | | | | |            (25), (27), (28), (30), (31), (32), (33), (34), (36), (37),
% 240.18/46.94  | | | | |            (39), (41), (43), (44), (45), (47), (52), (53), (54), (57),
% 240.18/46.94  | | | | |            (58), (59), (65), (68), (71), (72), (73), (83), (86) are
% 240.18/46.94  | | | | |            inconsistent by sub-proof #22.
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | Case 2:
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | |   (87)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | REF_CLOSE: (4), (10), (18), (25), (27), (31), (32), (33), (54), (57),
% 240.18/46.94  | | | | |            (72), (73), (83), (87) are inconsistent by sub-proof #21.
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | End of split
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | Case 2:
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | |   (88)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.18/46.94  | | | |           op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | | BETA: splitting (88) gives:
% 240.18/46.94  | | | | 
% 240.18/46.94  | | | | Case 1:
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | |   (89)  all_25_8 = e10 & op1(e12, e12) = e10
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | REF_CLOSE: (4), (5), (6), (18), (19), (22), (25), (33), (36), (39),
% 240.18/46.94  | | | | |            (44), (45), (63), (66), (73), (77), (89) are inconsistent
% 240.18/46.94  | | | | |            by sub-proof #486.
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | Case 2:
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | |   (90)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 240.18/46.94  | | | | |           op1(e12, e10) = e10)
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | BETA: splitting (90) gives:
% 240.18/46.94  | | | | | 
% 240.18/46.94  | | | | | Case 1:
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | |   (91)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | | ALPHA: (91) implies:
% 240.18/46.94  | | | | | |   (92)  all_25_11 = e10
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | | REF_CLOSE: (1), (4), (5), (6), (8), (13), (15), (17), (18), (22),
% 240.18/46.94  | | | | | |            (25), (26), (27), (30), (33), (35), (36), (39), (41),
% 240.18/46.94  | | | | | |            (44), (45), (47), (48), (53), (66), (73), (92) are
% 240.18/46.94  | | | | | |            inconsistent by sub-proof #438.
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | Case 2:
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | |   (93)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | | ALPHA: (93) implies:
% 240.18/46.94  | | | | | |   (94)  all_25_18 = e10
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | | BETA: splitting (74) gives:
% 240.18/46.94  | | | | | | 
% 240.18/46.94  | | | | | | Case 1:
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | |   (95)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 &
% 240.18/46.94  | | | | | | |           op1(e12, e13) = e12)
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | | BETA: splitting (95) gives:
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | |   (96)  all_25_6 = e12 & op1(e12, e14) = e12
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | ALPHA: (96) implies:
% 240.18/46.94  | | | | | | | |   (97)  all_25_6 = e12
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | BETA: splitting (52) gives:
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | |   (98)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 =
% 240.18/46.94  | | | | | | | | |           e11 & op1(e13, e14) = e11)
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | BETA: splitting (98) gives:
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | |   (99)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | REF_CLOSE: (32), (36), (99) are inconsistent by sub-proof
% 240.18/46.94  | | | | | | | | | |            #1241.
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | |   (100)  all_25_2 = e11 & op1(e13, e14) = e11
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | REF_CLOSE: (5), (17), (100) are inconsistent by sub-proof
% 240.18/46.94  | | | | | | | | | |            #1189.
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | |   (101)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 =
% 240.18/46.94  | | | | | | | | |            e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 240.18/46.94  | | | | | | | | |            op1(e10, e14) = e11)
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | BETA: splitting (101) gives:
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | |   (102)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | REF_CLOSE: (17), (97), (102) are inconsistent by sub-proof
% 240.18/46.94  | | | | | | | | | |            #980.
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | |   (103)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.18/46.94  | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | BETA: splitting (103) gives:
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | |   (104)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | ALPHA: (104) implies:
% 240.18/46.94  | | | | | | | | | | |   (105)  all_25_12 = e11
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | BETA: splitting (43) gives:
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | |   (106)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 240.18/46.94  | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | REF_CLOSE: (4), (6), (10), (17), (18), (19), (21), (22),
% 240.18/46.94  | | | | | | | | | | | |            (25), (30), (32), (33), (34), (36), (39), (44),
% 240.18/46.94  | | | | | | | | | | | |            (45), (47), (53), (68), (73), (83), (106) are
% 240.18/46.94  | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | |   (107)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 240.18/46.94  | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.94  | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | BETA: splitting (107) gives:
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | |   (108)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | | REF_CLOSE: (73), (97), (108) are inconsistent by sub-proof
% 240.18/46.94  | | | | | | | | | | | | |            #981.
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | |   (109)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.94  | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (21), (25), (27), (31),
% 240.18/46.94  | | | | | | | | | | | | |            (32), (33), (34), (37), (54), (57), (68), (72),
% 240.18/46.94  | | | | | | | | | | | | |            (73), (83), (105), (109) are inconsistent by
% 240.18/46.94  | | | | | | | | | | | | |            sub-proof #23.
% 240.18/46.94  | | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | |   (110)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | ALPHA: (110) implies:
% 240.18/46.94  | | | | | | | | | | |   (111)  op1(e10, e14) = e11
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | | REF_CLOSE: (17), (22), (24), (25), (28), (30), (33), (39),
% 240.18/46.94  | | | | | | | | | | |            (44), (58), (59), (65), (71), (111) are
% 240.18/46.94  | | | | | | | | | | |            inconsistent by sub-proof #121.
% 240.18/46.94  | | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | | | 
% 240.18/46.94  | | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | | 
% 240.18/46.94  | | | | | | | | End of split
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | Case 2:
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | |   (112)  all_25_7 = e12 & op1(e12, e13) = e12
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | ALPHA: (112) implies:
% 240.18/46.94  | | | | | | | |   (113)  op1(e12, e13) = e12
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | REF_CLOSE: (3), (16), (33), (113) are inconsistent by sub-proof
% 240.18/46.94  | | | | | | | |            #1296.
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | End of split
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | Case 2:
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | |   (114)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12
% 240.18/46.94  | | | | | | |            & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12,
% 240.18/46.94  | | | | | | |              e10) = e12)
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | | BETA: splitting (114) gives:
% 240.18/46.94  | | | | | | | 
% 240.18/46.94  | | | | | | | Case 1:
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | |   (115)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.18/46.94  | | | | | | | | 
% 240.18/46.94  | | | | | | | | REF_CLOSE: (44), (63), (115) are inconsistent by sub-proof #944.
% 240.18/46.95  | | | | | | | | 
% 240.18/46.95  | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | 
% 240.18/46.95  | | | | | | | |   (116)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 =
% 240.18/46.95  | | | | | | | |            e12 & op1(e12, e10) = e12)
% 240.18/46.95  | | | | | | | | 
% 240.18/46.95  | | | | | | | | BETA: splitting (116) gives:
% 240.18/46.95  | | | | | | | | 
% 240.18/46.95  | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | 
% 240.18/46.95  | | | | | | | | |   (117)  all_25_11 = e12 & op1(e12, e11) = e12
% 240.18/46.95  | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | ALPHA: (117) implies:
% 240.18/46.95  | | | | | | | | |   (118)  all_25_11 = e12
% 240.18/46.95  | | | | | | | | |   (119)  op1(e12, e11) = e12
% 240.18/46.95  | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | BETA: splitting (8) gives:
% 240.18/46.95  | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | |   (120)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10
% 240.18/46.95  | | | | | | | | | |            = e11 & op1(e13, e11) = e11)
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | BETA: splitting (120) gives:
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | |   (121)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (11), (15), (17), (18),
% 240.18/46.95  | | | | | | | | | | |            (19), (22), (25), (28), (29), (30), (32), (33),
% 240.18/46.95  | | | | | | | | | | |            (36), (39), (41), (44), (45), (47), (53), (58),
% 240.18/46.95  | | | | | | | | | | |            (60), (66), (71), (73), (77), (121) are
% 240.18/46.95  | | | | | | | | | | |            inconsistent by sub-proof #36.
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | |   (122)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (21), (25), (33), (34),
% 240.18/46.95  | | | | | | | | | | |            (48), (68), (73), (83), (122) are inconsistent by
% 240.18/46.95  | | | | | | | | | | |            sub-proof #474.
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | End of split
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | |   (123)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 240.18/46.95  | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.18/46.95  | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | BETA: splitting (123) gives:
% 240.18/46.95  | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | |   (124)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | REF_CLOSE: (17), (118), (124) are inconsistent by sub-proof
% 240.18/46.95  | | | | | | | | | | |            #1149.
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | |   (125)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.18/46.95  | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | BETA: splitting (125) gives:
% 240.18/46.95  | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | |   (126)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | REF_CLOSE: (35), (36), (126) are inconsistent by sub-proof
% 240.18/46.95  | | | | | | | | | | | |            #441.
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | |   (127)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | ALPHA: (127) implies:
% 240.18/46.95  | | | | | | | | | | | |   (128)  op1(e10, e11) = e11
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | BETA: splitting (76) gives:
% 240.18/46.95  | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | |   (129)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 240.18/46.95  | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 240.18/46.95  | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | BETA: splitting (129) gives:
% 240.18/46.95  | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | |   (130)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.18/46.95  | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | ALPHA: (130) implies:
% 240.18/46.95  | | | | | | | | | | | | | |   (131)  all_25_6 = e11
% 240.18/46.95  | | | | | | | | | | | | | |   (132)  op1(e12, e14) = e11
% 240.18/46.95  | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 240.18/46.95  | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | |   (133)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 240.18/46.95  | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10), (17), (18), (19), (21), (22),
% 240.18/46.95  | | | | | | | | | | | | | | |            (25), (30), (32), (33), (34), (36), (39), (44),
% 240.18/46.95  | | | | | | | | | | | | | | |            (45), (47), (53), (68), (73), (83), (133) are
% 240.18/46.95  | | | | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | |   (134)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 240.18/46.95  | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.95  | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | |   (135)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | |   (136)  all_25_6 = e14
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (136) imply:
% 240.18/46.95  | | | | | | | | | | | | | | | |   (137)  e14 = e11
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (21), (25), (33), (34),
% 240.18/46.95  | | | | | | | | | | | | | | | |            (68), (73), (83), (137) are inconsistent by
% 240.18/46.95  | | | | | | | | | | | | | | | |            sub-proof #137.
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | |   (138)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.18/46.95  | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | |   (139)  all_25_12 = e14 & op1(e11, e14) = e14
% 240.18/46.95  | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | | |   (140)  op1(e11, e14) = e14
% 240.18/46.95  | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | |   (141)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.18/46.95  | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.18/46.95  | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |   (142)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |   (143)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (144)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_0) & $i(all_23_10) & $i(all_23_11)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (145)   ~ (all_23_10 = all_23_11)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (146)  op1(e13, e14) = all_23_10
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (147)  op1(e14, e13) = all_23_11
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (71), (75), (145), (146), (147) are
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (148)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_2) & $i(all_23_20) & $i(all_23_21)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (149)   ~ (all_23_20 = all_23_21)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (150)  op1(e12, e14) = all_23_20
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (151)  op1(e14, e12) = all_23_21
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (132), (149), (150), (151) are
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |   (152)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (153)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (46), (49), (67), (153) are inconsistent by
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            sub-proof #998.
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |   (154)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (155)  all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_6) & $i(all_23_46) & $i(all_23_47)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_23_46 = all_23_47)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (157)  op1(e10, e14) = all_23_46
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (158)  op1(e14, e10) = all_23_47
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (28), (33), (39), (44), (56), (58),
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |            (59), (62), (67), (71), (156), (157), (158) are
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #20.
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |            e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_8) & $i(all_23_10) & $i(all_23_11)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (160)   ~ (all_23_10 = all_23_11)
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (161)  op1(e13, e14) = all_23_10
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |   (162)  op1(e14, e13) = all_23_11
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (71), (75), (160), (161), (162) are
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.95  | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.95  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |   (163)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |   (164)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (30), (33), (39), (51), (69), (164)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #996.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |   (165)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (166)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (167)   ~ (all_23_50 = all_23_51)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (168)  op1(e10, e13) = all_23_50
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (169)  op1(e13, e10) = all_23_51
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (55), (167), (168), (169) are
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (170)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (171)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (172)   ~ (all_23_20 = all_23_21)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (173)  op1(e12, e14) = all_23_20
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (174)  op1(e14, e12) = all_23_21
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (132), (172), (173), (174) are
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (175)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (176)  op1(e13, e12) = all_23_25
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e10, all_23_25, e12, e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (39), (176) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (177)  all_23_25 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (178)  unit1 = e14
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (178) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (179)  op1(e13, e14) = e13
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (71), (179) are inconsistent by
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1227.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (180)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  unit1 = e12
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (181) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | |   (182)  op1(e13, e12) = e13
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (33), (39), (182) are inconsistent by
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | |   (183)   ~ (unit1 = e12)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | |   (184)  unit1 = e11 | unit1 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  unit1 = e11
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (185) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op1(e10, e11) = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (62), (67), (186) are inconsistent by
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1267.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  unit1 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (187) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (188)   ~ (e12 = e10)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (187) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  op1(e10, e14) = e14
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (187) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  op1(e10, e12) = e12
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (24), (33), (47), (189), (190) are
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #72.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.96  | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | |   (191)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.18/46.96  | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |   (192)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |   (193)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (194)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_23_40 = all_23_41)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (196)  op1(e11, e12) = all_23_40
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (197)  op1(e12, e11) = all_23_41
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (50), (119), (195), (196), (197) are
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #78.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (198)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_23_54 = all_23_55)
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (200)  op1(e10, e12) = all_23_54
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | |   (201)  op1(e12, e10) = all_23_55
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (202)  unit1 = e14
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (202) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (203)  op1(e13, e14) = e13
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (71), (203) are inconsistent by
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1227.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | |   (204)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (205)  unit1 = e12
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (205) imply:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (206)  op1(e13, e12) = e13
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (33), (39), (206) are inconsistent by
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | |   (207)  unit1 = e11 | unit1 = e10
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | |   (208)  unit1 = e11
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (208) imply:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | |   (209)  op1(e10, e11) = e10
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (62), (67), (209) are inconsistent by
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1267.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | |   (210)  unit1 = e10
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (40), (65), (199), (200), (201), (210) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #53.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |   (211)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (212)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (213)  op1(e11, e14) = all_23_32
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (214)  op1(all_23_32, e14) = e11
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (36), (140), (213), (214) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (215)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |   (216)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (33), (36), (216) are inconsistent by
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #991.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |   (217)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |   (218)   ~ (all_23_40 = all_23_41)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |   (219)  op1(e11, e12) = all_23_40
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |   (220)  op1(e12, e11) = all_23_41
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (50), (119), (218), (219), (220) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #78.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |   (221)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |   (222)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (223)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_23_58 = all_23_59)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (225)  op1(e10, e11) = all_23_58
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (226)  op1(e11, e10) = all_23_59
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (25), (28), (30), (33), (38), (39), (44),
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            (58), (64), (71), (224), (225), (226) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (227)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (228)   ~ (all_23_46 = all_23_47)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (229)  op1(e10, e14) = all_23_46
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (230)  op1(e14, e10) = all_23_47
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (28), (33), (39), (44), (56), (58),
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            (59), (62), (67), (71), (228), (229), (230) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #20.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | End of split
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |   (231)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (232)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_23_50 = all_23_51)
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (234)  op1(e10, e13) = all_23_50
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |   (235)  op1(e13, e10) = all_23_51
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (55), (233), (234), (235) are
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.18/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |   (236)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |   (237)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (33), (60), (237) are inconsistent by
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |   (238)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |   (239)  op1(e10, e11) = all_23_58
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |   (240)  op1(all_23_58, e11) = e10
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (33), (61), (128), (239), (240) are
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1048.
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | |   (241)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.34/46.97  | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (25), (27), (31), (32), (33),
% 240.34/46.97  | | | | | | | | | | | | | | | | |            (37), (54), (57), (72), (73), (241) are
% 240.34/46.97  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #27.
% 240.34/46.97  | | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | |   (242)  all_25_7 = e11 & op1(e12, e13) = e11
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | ALPHA: (242) implies:
% 240.34/46.97  | | | | | | | | | | | | | |   (243)  all_25_7 = e11
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (19), (21), (25), (33), (34),
% 240.34/46.97  | | | | | | | | | | | | | |            (68), (73), (243) are inconsistent by sub-proof
% 240.34/46.97  | | | | | | | | | | | | | |            #935.
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | |   (244)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 240.34/46.97  | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 240.34/46.97  | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.34/46.97  | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | BETA: splitting (244) gives:
% 240.34/46.97  | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | Case 1:
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | |   (245)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | ALPHA: (245) implies:
% 240.34/46.97  | | | | | | | | | | | | | |   (246)  all_25_8 = e11
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | COMBINE_EQS: (63), (246) imply:
% 240.34/46.97  | | | | | | | | | | | | | |   (247)  e13 = e11
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | REDUCE: (36), (247) imply:
% 240.34/46.97  | | | | | | | | | | | | | |   (248)  $false
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | |   (249)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 240.34/46.97  | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (28), (33), (39), (40), (44), (56),
% 240.34/46.97  | | | | | | | | | | | | | |            (58), (62), (67), (71), (118), (249) are
% 240.34/46.97  | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 240.34/46.97  | | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | Case 2:
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | |   (250)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | ALPHA: (250) implies:
% 240.34/46.97  | | | | | | | | |   (251)  all_25_18 = e12
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | COMBINE_EQS: (94), (251) imply:
% 240.34/46.97  | | | | | | | | |   (252)  e12 = e10
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | COMBINE_EQS: (5), (252) imply:
% 240.34/46.97  | | | | | | | | |   (253)  all_25_2 = e10
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | | REF_CLOSE: (4), (6), (15), (17), (18), (22), (25), (33), (36),
% 240.34/46.97  | | | | | | | | |            (39), (41), (44), (45), (47), (53), (66), (73),
% 240.34/46.97  | | | | | | | | |            (253) are inconsistent by sub-proof #1281.
% 240.34/46.97  | | | | | | | | | 
% 240.34/46.97  | | | | | | | | End of split
% 240.34/46.97  | | | | | | | | 
% 240.34/46.97  | | | | | | | End of split
% 240.34/46.97  | | | | | | | 
% 240.34/46.97  | | | | | | End of split
% 240.34/46.97  | | | | | | 
% 240.34/46.97  | | | | | End of split
% 240.34/46.97  | | | | | 
% 240.34/46.97  | | | | End of split
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | End of split
% 240.34/46.97  | | | 
% 240.34/46.97  | | Case 2:
% 240.34/46.97  | | | 
% 240.34/46.97  | | |   (254)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 240.34/46.97  | | |            op1(e10, e13) = e14)
% 240.34/46.97  | | | 
% 240.34/46.97  | | | BETA: splitting (254) gives:
% 240.34/46.97  | | | 
% 240.34/46.97  | | | Case 1:
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | |   (255)  all_25_13 = e14 & op1(e11, e13) = e14
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | | ALPHA: (255) implies:
% 240.34/46.97  | | | |   (256)  all_25_13 = e14
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | | REF_CLOSE: (4), (10), (18), (25), (27), (31), (32), (33), (34), (54),
% 240.34/46.97  | | | |            (57), (72), (73), (256) are inconsistent by sub-proof #18.
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | Case 2:
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | |   (257)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | | ALPHA: (257) implies:
% 240.34/46.97  | | | |   (258)  op1(e10, e13) = e14
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | | REF_CLOSE: (22), (25), (28), (33), (39), (42), (44), (56), (58), (62),
% 240.34/46.97  | | | |            (67), (71), (258) are inconsistent by sub-proof #164.
% 240.34/46.97  | | | | 
% 240.34/46.97  | | | End of split
% 240.34/46.97  | | | 
% 240.34/46.97  | | End of split
% 240.34/46.97  | | 
% 240.34/46.97  | End of split
% 240.34/46.97  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #18 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)   ~ (e14 = e10)
% 240.34/46.98    (2)  all_25_1 = e12
% 240.34/46.98    (3)   ~ (e14 = e11)
% 240.34/46.98    (4)   ~ (e14 = e13)
% 240.34/46.98    (5)  all_25_13 = e14
% 240.34/46.98    (6)  op1(e14, e11) = all_14_15
% 240.34/46.98    (7)  all_25_4 = e11
% 240.34/46.98    (8)  all_25_0 = e13
% 240.34/46.98    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.98           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.98    (10)  all_25_13 = e10
% 240.34/46.98    (11)   ~ (all_14_15 = e14)
% 240.34/46.98    (12)  all_25_16 = e14
% 240.34/46.98    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.98            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.98            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.98    (14)   ~ (e14 = e12)
% 240.34/46.98  
% 240.34/46.98  Begin of proof
% 240.34/46.98  | 
% 240.34/46.98  | COMBINE_EQS: (5), (10) imply:
% 240.34/46.98  |   (15)  e14 = e10
% 240.34/46.98  | 
% 240.34/46.98  | SIMP: (15) implies:
% 240.34/46.98  |   (16)  e14 = e10
% 240.34/46.98  | 
% 240.34/46.98  | COMBINE_EQS: (12), (16) imply:
% 240.34/46.98  |   (17)  all_25_16 = e10
% 240.34/46.98  | 
% 240.34/46.98  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (13), (14), (17) are
% 240.34/46.98  |            inconsistent by sub-proof #158.
% 240.34/46.98  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #19 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)  op1(e11, e14) = e14
% 240.34/46.98    (2)  op1(e14, e14) = e13
% 240.34/46.98    (3)  op1(e11, e14) = all_23_32
% 240.34/46.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.98           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.98    (5)   ~ (e13 = e11)
% 240.34/46.98    (6)  op1(all_23_32, e14) = e11
% 240.34/46.98  
% 240.34/46.98  Begin of proof
% 240.34/46.98  | 
% 240.34/46.98  | GROUND_INST: instantiating (4) with e14, all_23_32, e14, e11, simplifying with
% 240.34/46.98  |              (1), (3) gives:
% 240.34/46.98  |   (7)  all_23_32 = e14
% 240.34/46.98  | 
% 240.34/46.98  | REDUCE: (6), (7) imply:
% 240.34/46.98  |   (8)  op1(e14, e14) = e11
% 240.34/46.98  | 
% 240.34/46.98  | GROUND_INST: instantiating (4) with e13, e11, e14, e14, simplifying with (2),
% 240.34/46.98  |              (8) gives:
% 240.34/46.98  |   (9)  e13 = e11
% 240.34/46.98  | 
% 240.34/46.98  | REDUCE: (5), (9) imply:
% 240.34/46.98  |   (10)  $false
% 240.34/46.98  | 
% 240.34/46.98  | CLOSE: (10) is inconsistent.
% 240.34/46.98  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #20 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)  op1(e14, unit1) = e14
% 240.34/46.98    (2)   ~ (e13 = e10)
% 240.34/46.98    (3)  op1(e13, unit1) = e13
% 240.34/46.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.98           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.98    (5)  op1(e13, e12) = e10
% 240.34/46.98    (6)   ~ (all_23_46 = all_23_47)
% 240.34/46.98    (7)   ~ (e13 = e12)
% 240.34/46.98    (8)  op1(e10, unit1) = e10
% 240.34/46.98    (9)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/46.98    (10)  op1(unit1, e14) = e14
% 240.34/46.98    (11)   ~ (all_14_19 = e10)
% 240.34/46.98    (12)  op1(e10, e11) = all_14_19
% 240.34/46.98    (13)  op1(e13, e14) = e12
% 240.34/46.98    (14)  op1(e10, e14) = all_23_46
% 240.34/46.98    (15)  op1(e14, e10) = all_23_47
% 240.34/46.98  
% 240.34/46.98  Begin of proof
% 240.34/46.98  | 
% 240.34/46.98  | BETA: splitting (9) gives:
% 240.34/46.98  | 
% 240.34/46.98  | Case 1:
% 240.34/46.98  | | 
% 240.34/46.98  | |   (16)  unit1 = e14
% 240.34/46.98  | | 
% 240.34/46.98  | | REDUCE: (3), (16) imply:
% 240.34/46.98  | |   (17)  op1(e13, e14) = e13
% 240.34/46.98  | | 
% 240.34/46.98  | | REF_CLOSE: (4), (7), (13), (17) are inconsistent by sub-proof #1227.
% 240.34/46.98  | | 
% 240.34/46.98  | Case 2:
% 240.34/46.98  | | 
% 240.34/46.98  | |   (18)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/46.98  | | 
% 240.34/46.98  | | BETA: splitting (18) gives:
% 240.34/46.98  | | 
% 240.34/46.98  | | Case 1:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (19)  unit1 = e12
% 240.34/46.98  | | | 
% 240.34/46.98  | | | REDUCE: (3), (19) imply:
% 240.34/46.98  | | |   (20)  op1(e13, e12) = e13
% 240.34/46.98  | | | 
% 240.34/46.98  | | | REF_CLOSE: (2), (4), (5), (20) are inconsistent by sub-proof #1334.
% 240.34/46.98  | | | 
% 240.34/46.98  | | Case 2:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (21)  unit1 = e11 | unit1 = e10
% 240.34/46.98  | | | 
% 240.34/46.98  | | | BETA: splitting (21) gives:
% 240.34/46.98  | | | 
% 240.34/46.98  | | | Case 1:
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | |   (22)  unit1 = e11
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REDUCE: (8), (22) imply:
% 240.34/46.98  | | | |   (23)  op1(e10, e11) = e10
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REF_CLOSE: (4), (11), (12), (23) are inconsistent by sub-proof #1267.
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | Case 2:
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | |   (24)  unit1 = e10
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REDUCE: (10), (24) imply:
% 240.34/46.98  | | | |   (25)  op1(e10, e14) = e14
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REDUCE: (1), (24) imply:
% 240.34/46.98  | | | |   (26)  op1(e14, e10) = e14
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REF_CLOSE: (4), (6), (14), (15), (25), (26) are inconsistent by
% 240.34/46.98  | | | |            sub-proof #1059.
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | End of split
% 240.34/46.98  | | | 
% 240.34/46.98  | | End of split
% 240.34/46.98  | | 
% 240.34/46.98  | End of split
% 240.34/46.98  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #21 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)   ~ (e14 = e10)
% 240.34/46.98    (2)  all_25_1 = e12
% 240.34/46.98    (3)   ~ (e14 = e11)
% 240.34/46.98    (4)   ~ (e14 = e13)
% 240.34/46.98    (5)  op1(e14, e11) = all_14_15
% 240.34/46.98    (6)  all_25_4 = e11
% 240.34/46.98    (7)  all_25_0 = e13
% 240.34/46.98    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.98           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.98    (9)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.34/46.98    (10)  all_25_7 = e14
% 240.34/46.98    (11)   ~ (all_14_15 = e14)
% 240.34/46.98    (12)  all_25_16 = e14
% 240.34/46.98    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.98            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.98            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.98    (14)   ~ (e14 = e12)
% 240.34/46.98  
% 240.34/46.98  Begin of proof
% 240.34/46.98  | 
% 240.34/46.98  | ALPHA: (9) implies:
% 240.34/46.98  |   (15)  all_25_7 = e10
% 240.34/46.98  | 
% 240.34/46.98  | COMBINE_EQS: (10), (15) imply:
% 240.34/46.98  |   (16)  e14 = e10
% 240.34/46.98  | 
% 240.34/46.98  | COMBINE_EQS: (12), (16) imply:
% 240.34/46.98  |   (17)  all_25_16 = e10
% 240.34/46.98  | 
% 240.34/46.98  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (13), (14), (17) are
% 240.34/46.98  |            inconsistent by sub-proof #158.
% 240.34/46.98  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #22 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)   ~ (e14 = e10)
% 240.34/46.98    (2)  all_25_2 = e12
% 240.34/46.98    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/46.98           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/46.98           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/46.98    (4)  all_25_1 = e12
% 240.34/46.98    (5)   ~ (e12 = e11)
% 240.34/46.98    (6)   ~ (e14 = e11)
% 240.34/46.98    (7)  all_25_3 = e11
% 240.34/46.98    (8)  op1(e10, e13) = e13
% 240.34/46.98    (9)   ~ (e13 = e10)
% 240.34/46.98    (10)  op1(e10, e12) = e14
% 240.34/46.98    (11)   ~ (e14 = e13)
% 240.34/46.98    (12)  op1(e14, e11) = all_14_15
% 240.34/46.98    (13)  op1(e13, unit1) = e13
% 240.34/46.98    (14)  op1(e13, e11) = e14
% 240.34/46.98    (15)  all_25_4 = e11
% 240.34/46.98    (16)  all_25_0 = e13
% 240.34/46.98    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.98            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.98    (18)  all_25_13 = e10
% 240.34/46.98    (19)   ~ (e13 = e11)
% 240.34/46.98    (20)  all_25_20 = e10
% 240.34/46.98    (21)  op1(e13, e12) = e10
% 240.34/46.98    (22)   ~ (e11 = e10)
% 240.34/46.98    (23)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.34/46.98            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.34/46.98            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.34/46.98    (24)   ~ (e13 = e12)
% 240.34/46.98    (25)  op1(e13, e13) = e11
% 240.34/46.98    (26)   ~ (e12 = e10)
% 240.34/46.98    (27)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.34/46.98            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.34/46.98            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.34/46.98    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/46.98            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/46.98            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/46.98    (29)  all_25_7 = e14
% 240.34/46.98    (30)   ~ (all_14_15 = e14)
% 240.34/46.98    (31)  all_25_16 = e14
% 240.34/46.98    (32)  all_25_6 = e10
% 240.34/46.98    (33)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/46.98    (34)  op1(unit1, e14) = e14
% 240.34/46.98    (35)  op1(unit1, e12) = e12
% 240.34/46.98    (36)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/46.98            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/46.98            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/46.98    (37)  op1(e13, e14) = e12
% 240.34/46.98    (38)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.98            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.98            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.98    (39)   ~ (e14 = e12)
% 240.34/46.98  
% 240.34/46.98  Begin of proof
% 240.34/46.98  | 
% 240.34/46.98  | BETA: splitting (27) gives:
% 240.34/46.98  | 
% 240.34/46.98  | Case 1:
% 240.34/46.98  | | 
% 240.34/46.98  | |   (40)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 240.34/46.98  | |             e14) = e11)
% 240.34/46.98  | | 
% 240.34/46.98  | | BETA: splitting (40) gives:
% 240.34/46.98  | | 
% 240.34/46.98  | | Case 1:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (41)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.34/46.98  | | | 
% 240.34/46.98  | | | REF_CLOSE: (16), (19), (41) are inconsistent by sub-proof #1241.
% 240.34/46.98  | | | 
% 240.34/46.98  | | Case 2:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (42)  all_25_2 = e11 & op1(e13, e14) = e11
% 240.34/46.98  | | | 
% 240.34/46.98  | | | REF_CLOSE: (2), (5), (42) are inconsistent by sub-proof #1189.
% 240.34/46.98  | | | 
% 240.34/46.98  | | End of split
% 240.34/46.98  | | 
% 240.34/46.98  | Case 2:
% 240.34/46.98  | | 
% 240.34/46.98  | |   (43)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 240.34/46.98  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.34/46.98  | | 
% 240.34/46.98  | | BETA: splitting (43) gives:
% 240.34/46.98  | | 
% 240.34/46.98  | | Case 1:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (44)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.34/46.98  | | | 
% 240.34/46.98  | | | REF_CLOSE: (22), (32), (44) are inconsistent by sub-proof #1015.
% 240.34/46.98  | | | 
% 240.34/46.98  | | Case 2:
% 240.34/46.98  | | | 
% 240.34/46.98  | | |   (45)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 240.34/46.98  | | |           op1(e10, e14) = e11)
% 240.34/46.98  | | | 
% 240.34/46.98  | | | BETA: splitting (45) gives:
% 240.34/46.98  | | | 
% 240.34/46.98  | | | Case 1:
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | |   (46)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | ALPHA: (46) implies:
% 240.34/46.98  | | | |   (47)  all_25_12 = e11
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | BETA: splitting (23) gives:
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | Case 1:
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | |   (48)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 240.34/46.98  | | | | |           op1(e13, e14) = e14)
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (14), (16),
% 240.34/46.98  | | | | |            (17), (18), (19), (21), (24), (25), (26), (28), (29), (36),
% 240.34/46.98  | | | | |            (39), (48) are inconsistent by sub-proof #25.
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | Case 2:
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | |   (49)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.34/46.98  | | | | |           op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) =
% 240.34/46.98  | | | | |           e14)
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | | BETA: splitting (49) gives:
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | | Case 1:
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | |   (50)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | | REF_CLOSE: (1), (4), (6), (11), (12), (15), (16), (17), (30), (31),
% 240.34/46.98  | | | | | |            (32), (38), (39), (50) are inconsistent by sub-proof #24.
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | Case 2:
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | |   (51)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 240.34/46.98  | | | | | |           op1(e10, e14) = e14)
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | | REF_CLOSE: (1), (4), (6), (7), (8), (11), (12), (15), (16), (17),
% 240.34/46.98  | | | | | |            (18), (20), (29), (30), (31), (36), (38), (39), (47),
% 240.34/46.98  | | | | | |            (51) are inconsistent by sub-proof #23.
% 240.34/46.98  | | | | | | 
% 240.34/46.98  | | | | | End of split
% 240.34/46.98  | | | | | 
% 240.34/46.98  | | | | End of split
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | Case 2:
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | |   (52)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | ALPHA: (52) implies:
% 240.34/46.98  | | | |   (53)  op1(e10, e14) = e11
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | | REF_CLOSE: (5), (9), (10), (11), (13), (14), (17), (21), (24), (33),
% 240.34/46.98  | | | |            (34), (35), (37), (53) are inconsistent by sub-proof #121.
% 240.34/46.98  | | | | 
% 240.34/46.98  | | | End of split
% 240.34/46.98  | | | 
% 240.34/46.98  | | End of split
% 240.34/46.98  | | 
% 240.34/46.98  | End of split
% 240.34/46.98  | 
% 240.34/46.98  End of proof
% 240.34/46.98  
% 240.34/46.98  Sub-proof #23 shows that the following formulas are inconsistent:
% 240.34/46.98  ----------------------------------------------------------------
% 240.34/46.98    (1)   ~ (e14 = e10)
% 240.34/46.98    (2)  all_25_1 = e12
% 240.34/46.99    (3)   ~ (e14 = e11)
% 240.34/46.99    (4)  all_25_3 = e11
% 240.34/46.99    (5)  op1(e10, e13) = e13
% 240.34/46.99    (6)   ~ (e14 = e13)
% 240.34/46.99    (7)  op1(e14, e11) = all_14_15
% 240.34/46.99    (8)  all_25_4 = e11
% 240.34/46.99    (9)  all_25_0 = e13
% 240.34/46.99    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (11)  all_25_13 = e10
% 240.34/46.99    (12)  all_25_20 = e10
% 240.34/46.99    (13)  all_25_12 = e11
% 240.34/46.99    (14)  all_25_7 = e14
% 240.34/46.99    (15)   ~ (all_14_15 = e14)
% 240.34/46.99    (16)  all_25_16 = e14
% 240.34/46.99    (17)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/46.99            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/46.99            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/46.99    (18)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10,
% 240.34/46.99              e14) = e14)
% 240.34/46.99    (19)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.99            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.99            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.99    (20)   ~ (e14 = e12)
% 240.34/46.99  
% 240.34/46.99  Begin of proof
% 240.34/46.99  | 
% 240.34/46.99  | BETA: splitting (18) gives:
% 240.34/46.99  | 
% 240.34/46.99  | Case 1:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (21)  all_25_12 = e14 & op1(e11, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | ALPHA: (21) implies:
% 240.34/46.99  | |   (22)  all_25_12 = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | COMBINE_EQS: (13), (22) imply:
% 240.34/46.99  | |   (23)  e14 = e11
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (14), (17), (20), (23)
% 240.34/46.99  | |            are inconsistent by sub-proof #137.
% 240.34/46.99  | | 
% 240.34/46.99  | Case 2:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (24)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (12), (15), (16), (19),
% 240.34/46.99  | |            (20), (24) are inconsistent by sub-proof #27.
% 240.34/46.99  | | 
% 240.34/46.99  | End of split
% 240.34/46.99  | 
% 240.34/46.99  End of proof
% 240.34/46.99  
% 240.34/46.99  Sub-proof #24 shows that the following formulas are inconsistent:
% 240.34/46.99  ----------------------------------------------------------------
% 240.34/46.99    (1)   ~ (e14 = e10)
% 240.34/46.99    (2)  all_25_1 = e12
% 240.34/46.99    (3)   ~ (e14 = e11)
% 240.34/46.99    (4)   ~ (e14 = e13)
% 240.34/46.99    (5)  op1(e14, e11) = all_14_15
% 240.34/46.99    (6)  all_25_4 = e11
% 240.34/46.99    (7)  all_25_0 = e13
% 240.34/46.99    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (9)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.34/46.99    (10)   ~ (all_14_15 = e14)
% 240.34/46.99    (11)  all_25_16 = e14
% 240.34/46.99    (12)  all_25_6 = e10
% 240.34/46.99    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.99            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.99            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.99    (14)   ~ (e14 = e12)
% 240.34/46.99  
% 240.34/46.99  Begin of proof
% 240.34/46.99  | 
% 240.34/46.99  | ALPHA: (9) implies:
% 240.34/46.99  |   (15)  all_25_6 = e14
% 240.34/46.99  | 
% 240.34/46.99  | COMBINE_EQS: (12), (15) imply:
% 240.34/46.99  |   (16)  e14 = e10
% 240.34/46.99  | 
% 240.34/46.99  | SIMP: (16) implies:
% 240.34/46.99  |   (17)  e14 = e10
% 240.34/46.99  | 
% 240.34/46.99  | COMBINE_EQS: (11), (17) imply:
% 240.34/46.99  |   (18)  all_25_16 = e10
% 240.34/46.99  | 
% 240.34/46.99  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (13), (14), (18) are
% 240.34/46.99  |            inconsistent by sub-proof #158.
% 240.34/46.99  | 
% 240.34/46.99  End of proof
% 240.34/46.99  
% 240.34/46.99  Sub-proof #25 shows that the following formulas are inconsistent:
% 240.34/46.99  ----------------------------------------------------------------
% 240.34/46.99    (1)   ~ (e14 = e10)
% 240.34/46.99    (2)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/46.99           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/46.99           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/46.99    (3)  all_25_1 = e12
% 240.34/46.99    (4)   ~ (e12 = e11)
% 240.34/46.99    (5)   ~ (e14 = e11)
% 240.34/46.99    (6)  all_25_3 = e11
% 240.34/46.99    (7)  op1(e10, e13) = e13
% 240.34/46.99    (8)   ~ (e13 = e10)
% 240.34/46.99    (9)   ~ (e14 = e13)
% 240.34/46.99    (10)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.34/46.99            = e14)
% 240.34/46.99    (11)  op1(e13, e11) = e14
% 240.34/46.99    (12)  all_25_0 = e13
% 240.34/46.99    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (14)  all_25_13 = e10
% 240.34/46.99    (15)   ~ (e13 = e11)
% 240.34/46.99    (16)  op1(e13, e12) = e10
% 240.34/46.99    (17)   ~ (e13 = e12)
% 240.34/46.99    (18)  op1(e13, e13) = e11
% 240.34/46.99    (19)   ~ (e12 = e10)
% 240.34/46.99    (20)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/46.99            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/46.99            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/46.99    (21)  all_25_7 = e14
% 240.34/46.99    (22)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/46.99            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/46.99            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/46.99    (23)   ~ (e14 = e12)
% 240.34/46.99  
% 240.34/46.99  Begin of proof
% 240.34/46.99  | 
% 240.34/46.99  | BETA: splitting (10) gives:
% 240.34/46.99  | 
% 240.34/46.99  | Case 1:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (24)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | ALPHA: (24) implies:
% 240.34/46.99  | |   (25)  all_25_0 = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | COMBINE_EQS: (12), (25) imply:
% 240.34/46.99  | |   (26)  e14 = e13
% 240.34/46.99  | | 
% 240.34/46.99  | | SIMP: (26) implies:
% 240.34/46.99  | |   (27)  e14 = e13
% 240.34/46.99  | | 
% 240.34/46.99  | | COMBINE_EQS: (21), (27) imply:
% 240.34/46.99  | |   (28)  all_25_7 = e13
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (13), (14), (22), (23), (28) are
% 240.34/46.99  | |            inconsistent by sub-proof #1272.
% 240.34/46.99  | | 
% 240.34/46.99  | Case 2:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (29)  all_25_2 = e14 & op1(e13, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (2), (4), (8), (9), (11), (13), (15), (16), (17), (18), (19),
% 240.34/46.99  | |            (20), (23), (29) are inconsistent by sub-proof #1185.
% 240.34/46.99  | | 
% 240.34/46.99  | End of split
% 240.34/46.99  | 
% 240.34/46.99  End of proof
% 240.34/46.99  
% 240.34/46.99  Sub-proof #26 shows that the following formulas are inconsistent:
% 240.34/46.99  ----------------------------------------------------------------
% 240.34/46.99    (1)   ~ (e14 = e10)
% 240.34/46.99    (2)  all_25_1 = e12
% 240.34/46.99    (3)   ~ (e14 = e11)
% 240.34/46.99    (4)   ~ (e14 = e13)
% 240.34/46.99    (5)  op1(e14, e11) = all_14_15
% 240.34/46.99    (6)  all_25_4 = e11
% 240.34/46.99    (7)  all_25_0 = e13
% 240.34/46.99    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (9)  all_25_20 = e10
% 240.34/46.99    (10)  all_25_12 = e10
% 240.34/46.99    (11)   ~ (all_14_15 = e14)
% 240.34/46.99    (12)  all_25_16 = e14
% 240.34/46.99    (13)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10,
% 240.34/46.99              e14) = e14)
% 240.34/46.99    (14)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.99            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.99            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.99    (15)   ~ (e14 = e12)
% 240.34/46.99  
% 240.34/46.99  Begin of proof
% 240.34/46.99  | 
% 240.34/46.99  | BETA: splitting (13) gives:
% 240.34/46.99  | 
% 240.34/46.99  | Case 1:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (16)  all_25_12 = e14 & op1(e11, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | ALPHA: (16) implies:
% 240.34/46.99  | |   (17)  all_25_12 = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | COMBINE_EQS: (10), (17) imply:
% 240.34/46.99  | |   (18)  e14 = e10
% 240.34/46.99  | | 
% 240.34/46.99  | | SIMP: (18) implies:
% 240.34/46.99  | |   (19)  e14 = e10
% 240.34/46.99  | | 
% 240.34/46.99  | | COMBINE_EQS: (12), (19) imply:
% 240.34/46.99  | |   (20)  all_25_16 = e10
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (14), (15), (20)
% 240.34/46.99  | |            are inconsistent by sub-proof #158.
% 240.34/46.99  | | 
% 240.34/46.99  | Case 2:
% 240.34/46.99  | | 
% 240.34/46.99  | |   (21)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.34/46.99  | | 
% 240.34/46.99  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14),
% 240.34/46.99  | |            (15), (21) are inconsistent by sub-proof #27.
% 240.34/46.99  | | 
% 240.34/46.99  | End of split
% 240.34/46.99  | 
% 240.34/46.99  End of proof
% 240.34/46.99  
% 240.34/46.99  Sub-proof #27 shows that the following formulas are inconsistent:
% 240.34/46.99  ----------------------------------------------------------------
% 240.34/46.99    (1)   ~ (e14 = e10)
% 240.34/46.99    (2)  all_25_1 = e12
% 240.34/46.99    (3)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.34/46.99    (4)   ~ (e14 = e11)
% 240.34/46.99    (5)   ~ (e14 = e13)
% 240.34/46.99    (6)  op1(e14, e11) = all_14_15
% 240.34/46.99    (7)  all_25_4 = e11
% 240.34/46.99    (8)  all_25_0 = e13
% 240.34/46.99    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (10)  all_25_20 = e10
% 240.34/46.99    (11)   ~ (all_14_15 = e14)
% 240.34/46.99    (12)  all_25_16 = e14
% 240.34/46.99    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/46.99            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/46.99            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/46.99    (14)   ~ (e14 = e12)
% 240.34/46.99  
% 240.34/46.99  Begin of proof
% 240.34/46.99  | 
% 240.34/46.99  | ALPHA: (3) implies:
% 240.34/46.99  |   (15)  all_25_20 = e14
% 240.34/46.99  | 
% 240.34/46.99  | COMBINE_EQS: (10), (15) imply:
% 240.34/46.99  |   (16)  e14 = e10
% 240.34/46.99  | 
% 240.34/46.99  | SIMP: (16) implies:
% 240.34/46.99  |   (17)  e14 = e10
% 240.34/46.99  | 
% 240.34/46.99  | COMBINE_EQS: (12), (17) imply:
% 240.34/46.99  |   (18)  all_25_16 = e10
% 240.34/46.99  | 
% 240.34/46.99  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (14), (18) are
% 240.34/46.99  |            inconsistent by sub-proof #158.
% 240.34/46.99  | 
% 240.34/46.99  End of proof
% 240.34/46.99  
% 240.34/46.99  Sub-proof #28 shows that the following formulas are inconsistent:
% 240.34/46.99  ----------------------------------------------------------------
% 240.34/46.99    (1)   ~ (e14 = e10)
% 240.34/46.99    (2)  all_25_2 = e12
% 240.34/46.99    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/46.99           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/46.99           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/46.99    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/46.99           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/46.99           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/46.99    (5)   ~ (e12 = e11)
% 240.34/46.99    (6)   ~ (e14 = e11)
% 240.34/46.99    (7)   ~ (e13 = e10)
% 240.34/46.99    (8)   ~ (e14 = e13)
% 240.34/46.99    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/46.99           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/46.99    (10)   ~ (e13 = e11)
% 240.34/46.99    (11)  op1(e13, e12) = e10
% 240.34/46.99    (12)   ~ (e11 = e10)
% 240.34/46.99    (13)   ~ (e13 = e12)
% 240.34/46.99    (14)  op1(e13, e13) = e11
% 240.34/46.99    (15)   ~ (e12 = e10)
% 240.34/46.99    (16)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.34/46.99            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.34/46.99            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.34/46.99    (17)  all_25_22 = e10
% 240.34/46.99    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/46.99            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/46.99            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/46.99    (19)  op1(e14, e12) = all_14_10
% 240.34/46.99    (20)   ~ (all_14_10 = e12)
% 240.34/46.99    (21)  all_25_8 = e13
% 240.34/46.99    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/46.99            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/46.99            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/46.99    (23)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.34/46.99            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.34/46.99            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.34/46.99    (24)   ~ (e14 = e12)
% 240.34/47.00    (25)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.34/47.00            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.34/47.00            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.34/47.00  
% 240.34/47.00  Begin of proof
% 240.34/47.00  | 
% 240.34/47.00  | BETA: splitting (16) gives:
% 240.34/47.00  | 
% 240.34/47.00  | Case 1:
% 240.34/47.00  | | 
% 240.34/47.00  | |   (26)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13,
% 240.34/47.00  | |             e12) = e12)
% 240.34/47.00  | | 
% 240.34/47.00  | | REF_CLOSE: (9), (11), (15), (19), (20), (26) are inconsistent by sub-proof
% 240.34/47.00  | |            #1081.
% 240.34/47.00  | | 
% 240.34/47.00  | Case 2:
% 240.34/47.00  | | 
% 240.34/47.00  | |   (27)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 & op1(e11,
% 240.34/47.00  | |             e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.34/47.00  | | 
% 240.34/47.00  | | BETA: splitting (27) gives:
% 240.34/47.00  | | 
% 240.34/47.00  | | Case 1:
% 240.34/47.00  | | | 
% 240.34/47.00  | | |   (28)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.34/47.00  | | | 
% 240.34/47.00  | | | REF_CLOSE: (13), (21), (28) are inconsistent by sub-proof #31.
% 240.34/47.00  | | | 
% 240.34/47.00  | | Case 2:
% 240.34/47.00  | | | 
% 240.34/47.00  | | |   (29)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 240.34/47.00  | | |           op1(e10, e12) = e12)
% 240.34/47.00  | | | 
% 240.34/47.00  | | | BETA: splitting (29) gives:
% 240.34/47.00  | | | 
% 240.34/47.00  | | | Case 1:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | |   (30)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | ALPHA: (30) implies:
% 240.34/47.00  | | | |   (31)  all_25_14 = e12
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | BETA: splitting (25) gives:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | Case 1:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | |   (32)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 &
% 240.34/47.00  | | | | |           op1(e13, e12) = e11)
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | BETA: splitting (32) gives:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | Case 1:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (33)  all_25_4 = e11 & op1(e14, e12) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | ALPHA: (33) implies:
% 240.34/47.00  | | | | | |   (34)  all_25_4 = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (1), (6), (8), (9), (11), (17), (21), (23), (24), (31),
% 240.34/47.00  | | | | | |            (34) are inconsistent by sub-proof #102.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | Case 2:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (35)  all_25_5 = e11 & op1(e13, e12) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (9), (11), (12), (35) are inconsistent by sub-proof
% 240.34/47.00  | | | | | |            #1285.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | End of split
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | Case 2:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | |   (36)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.34/47.00  | | | | |           op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) =
% 240.34/47.00  | | | | |           e11)
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | BETA: splitting (36) gives:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | Case 1:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (37)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (10), (21), (37) are inconsistent by sub-proof #444.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | Case 2:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (38)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 240.34/47.00  | | | | | |           op1(e10, e12) = e11)
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (5), (12), (17), (31), (38) are inconsistent by sub-proof
% 240.34/47.00  | | | | | |            #100.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | End of split
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | End of split
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | Case 2:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | |   (39)  all_25_22 = e12 & op1(e10, e12) = e12
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 240.34/47.00  | | | |            (12), (13), (14), (15), (17), (18), (22), (24), (39) are
% 240.34/47.00  | | | |            inconsistent by sub-proof #99.
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | End of split
% 240.34/47.00  | | | 
% 240.34/47.00  | | End of split
% 240.34/47.00  | | 
% 240.34/47.00  | End of split
% 240.34/47.00  | 
% 240.34/47.00  End of proof
% 240.34/47.00  
% 240.34/47.00  Sub-proof #29 shows that the following formulas are inconsistent:
% 240.34/47.00  ----------------------------------------------------------------
% 240.34/47.00    (1)  all_25_24 = e11 & op1(e10, e10) = e11
% 240.34/47.00    (2)  all_25_24 = e14
% 240.34/47.00    (3)   ~ (e14 = e11)
% 240.34/47.00  
% 240.34/47.00  Begin of proof
% 240.34/47.00  | 
% 240.34/47.00  | ALPHA: (1) implies:
% 240.34/47.00  |   (4)  all_25_24 = e11
% 240.34/47.00  | 
% 240.34/47.00  | COMBINE_EQS: (2), (4) imply:
% 240.34/47.00  |   (5)  e14 = e11
% 240.34/47.00  | 
% 240.34/47.00  | SIMP: (5) implies:
% 240.34/47.00  |   (6)  e14 = e11
% 240.34/47.00  | 
% 240.34/47.00  | REDUCE: (3), (6) imply:
% 240.34/47.00  |   (7)  $false
% 240.34/47.00  | 
% 240.34/47.00  | CLOSE: (7) is inconsistent.
% 240.34/47.00  | 
% 240.34/47.00  End of proof
% 240.34/47.00  
% 240.34/47.00  Sub-proof #30 shows that the following formulas are inconsistent:
% 240.34/47.00  ----------------------------------------------------------------
% 240.34/47.00    (1)   ~ (all_14_10 = e10)
% 240.34/47.00    (2)   ~ (e14 = e10)
% 240.34/47.00    (3)  all_25_2 = e12
% 240.34/47.00    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.00           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.00           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.00    (5)  all_25_1 = e12
% 240.34/47.00    (6)  op1(e14, unit1) = e14
% 240.34/47.00    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.00           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.00           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.00    (8)   ~ (e12 = e11)
% 240.34/47.00    (9)   ~ (e14 = e11)
% 240.34/47.00    (10)  all_25_3 = e11
% 240.34/47.00    (11)  op1(e10, e13) = e13
% 240.34/47.00    (12)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 240.34/47.00            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 240.34/47.00            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 240.34/47.00    (13)  all_25_4 = e14
% 240.34/47.00    (14)   ~ (e13 = e10)
% 240.34/47.00    (15)   ~ (e14 = e13)
% 240.34/47.00    (16)  op1(e13, unit1) = e13
% 240.34/47.00    (17)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.00            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.00            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.00    (18)  op1(e13, e11) = e14
% 240.34/47.00    (19)  all_25_21 = e13
% 240.34/47.00    (20)  all_25_0 = e13
% 240.34/47.00    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.00            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.00    (22)   ~ (e13 = e11)
% 240.34/47.00    (23)  op1(e13, e12) = e10
% 240.34/47.00    (24)   ~ (e11 = e10)
% 240.34/47.00    (25)   ~ (e13 = e12)
% 240.34/47.00    (26)  op1(e13, e13) = e11
% 240.34/47.00    (27)   ~ (e12 = e10)
% 240.34/47.00    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.00            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.00            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.00    (29)  all_25_7 = e14
% 240.34/47.00    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.00    (31)  op1(e14, e12) = all_14_10
% 240.34/47.00    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.34/47.00            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.34/47.00            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.00    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.00            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.00            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.00    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.00            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/47.00            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.00    (35)  op1(e13, e14) = e12
% 240.34/47.00    (36)   ~ (e14 = e12)
% 240.34/47.00    (37)  all_25_17 = e13
% 240.34/47.00  
% 240.34/47.00  Begin of proof
% 240.34/47.00  | 
% 240.34/47.00  | BETA: splitting (32) gives:
% 240.34/47.00  | 
% 240.34/47.00  | Case 1:
% 240.34/47.00  | | 
% 240.34/47.00  | |   (38)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 240.34/47.00  | |             e13) = e10)
% 240.34/47.00  | | 
% 240.34/47.00  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (14), (15), (21), (22), (23),
% 240.34/47.00  | |            (24), (25), (26), (27), (28), (33), (36), (38) are inconsistent
% 240.34/47.00  | |            by sub-proof #1279.
% 240.34/47.00  | | 
% 240.34/47.00  | Case 2:
% 240.34/47.00  | | 
% 240.34/47.00  | |   (39)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 240.34/47.00  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.00  | | 
% 240.34/47.00  | | BETA: splitting (39) gives:
% 240.34/47.00  | | 
% 240.34/47.00  | | Case 1:
% 240.34/47.00  | | | 
% 240.34/47.00  | | |   (40)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.34/47.00  | | | 
% 240.34/47.00  | | | REF_CLOSE: (2), (29), (40) are inconsistent by sub-proof #982.
% 240.34/47.00  | | | 
% 240.34/47.00  | | Case 2:
% 240.34/47.00  | | | 
% 240.34/47.00  | | |   (41)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 240.34/47.00  | | |           op1(e10, e13) = e10)
% 240.34/47.00  | | | 
% 240.34/47.00  | | | BETA: splitting (41) gives:
% 240.34/47.00  | | | 
% 240.34/47.00  | | | Case 1:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | |   (42)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | ALPHA: (42) implies:
% 240.34/47.00  | | | |   (43)  all_25_13 = e10
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | BETA: splitting (12) gives:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | Case 1:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | |   (44)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 240.34/47.00  | | | | |           op1(e14, e13) = e11)
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | BETA: splitting (44) gives:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | Case 1:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (45)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (20), (22), (45) are inconsistent by sub-proof #1241.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | Case 2:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (46)  all_25_1 = e11 & op1(e14, e13) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (5), (8), (46) are inconsistent by sub-proof #1240.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | End of split
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | Case 2:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | |   (47)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 240.34/47.00  | | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 240.34/47.00  | | | | |           e11)
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | BETA: splitting (47) gives:
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | | Case 1:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (48)  all_25_4 = e11 & op1(e14, e12) = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | ALPHA: (48) implies:
% 240.34/47.00  | | | | | |   (49)  all_25_4 = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | COMBINE_EQS: (13), (49) imply:
% 240.34/47.00  | | | | | |   (50)  e14 = e11
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | REF_CLOSE: (2), (5), (9), (10), (11), (15), (21), (29), (34), (36),
% 240.34/47.00  | | | | | |            (43), (50) are inconsistent by sub-proof #137.
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | Case 2:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | |   (51)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 240.34/47.00  | | | | | |           op1(e14, e10) = e11)
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | BETA: splitting (51) gives:
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | | Case 1:
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | |   (52)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 240.34/47.00  | | | | | | |            (14), (15), (16), (17), (18), (20), (21), (22), (23),
% 240.34/47.00  | | | | | | |            (24), (25), (26), (27), (28), (30), (31), (33), (35),
% 240.34/47.00  | | | | | | |            (36), (37), (52) are inconsistent by sub-proof #36.
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | Case 2:
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | |   (53)  all_25_16 = e11 & op1(e14, e10) = e11
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | | REF_CLOSE: (6), (9), (14), (15), (16), (18), (21), (23), (25),
% 240.34/47.00  | | | | | | |            (30), (35), (53) are inconsistent by sub-proof #124.
% 240.34/47.00  | | | | | | | 
% 240.34/47.00  | | | | | | End of split
% 240.34/47.00  | | | | | | 
% 240.34/47.00  | | | | | End of split
% 240.34/47.00  | | | | | 
% 240.34/47.00  | | | | End of split
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | Case 2:
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | |   (54)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | | REF_CLOSE: (2), (3), (4), (9), (10), (14), (15), (19), (21), (22), (23),
% 240.34/47.00  | | | |            (25), (26), (33), (36), (37), (54) are inconsistent by
% 240.34/47.00  | | | |            sub-proof #934.
% 240.34/47.00  | | | | 
% 240.34/47.00  | | | End of split
% 240.34/47.00  | | | 
% 240.34/47.00  | | End of split
% 240.34/47.00  | | 
% 240.34/47.00  | End of split
% 240.34/47.00  | 
% 240.34/47.00  End of proof
% 240.34/47.00  
% 240.34/47.00  Sub-proof #31 shows that the following formulas are inconsistent:
% 240.34/47.00  ----------------------------------------------------------------
% 240.34/47.00    (1)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.34/47.00    (2)  all_25_8 = e13
% 240.34/47.00    (3)   ~ (e13 = e12)
% 240.34/47.00  
% 240.34/47.00  Begin of proof
% 240.34/47.00  | 
% 240.34/47.00  | ALPHA: (1) implies:
% 240.34/47.00  |   (4)  all_25_8 = e12
% 240.34/47.00  | 
% 240.34/47.00  | COMBINE_EQS: (2), (4) imply:
% 240.34/47.00  |   (5)  e13 = e12
% 240.34/47.00  | 
% 240.34/47.00  | SIMP: (5) implies:
% 240.34/47.00  |   (6)  e13 = e12
% 240.34/47.00  | 
% 240.34/47.00  | REDUCE: (3), (6) imply:
% 240.34/47.00  |   (7)  $false
% 240.34/47.00  | 
% 240.34/47.00  | CLOSE: (7) is inconsistent.
% 240.34/47.00  | 
% 240.34/47.00  End of proof
% 240.34/47.00  
% 240.34/47.00  Sub-proof #32 shows that the following formulas are inconsistent:
% 240.34/47.00  ----------------------------------------------------------------
% 240.34/47.00    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.34/47.00             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.34/47.00           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.00    (2)   ~ (all_14_10 = e10)
% 240.34/47.00    (3)   ~ (e14 = e10)
% 240.34/47.00    (4)  op1(e10, e13) = all_14_9
% 240.34/47.00    (5)  all_25_2 = e12
% 240.34/47.00    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.00           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.00           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.00    (7)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.34/47.00           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.00           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.00    (8)  all_25_1 = e12
% 240.34/47.00    (9)  op1(e14, unit1) = e14
% 240.34/47.00    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.00            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.00            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.00    (11)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.34/47.00              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.34/47.00            e10 & op1(e11, e10) = e10)
% 240.34/47.00    (12)   ~ (e12 = e11)
% 240.34/47.00    (13)   ~ (e14 = e11)
% 240.34/47.00    (14)  all_25_3 = e11
% 240.34/47.00    (15)  op1(e10, e13) = e13
% 240.34/47.00    (16)  all_25_4 = e14
% 240.34/47.00    (17)   ~ (e13 = e10)
% 240.34/47.00    (18)   ~ (e14 = e13)
% 240.34/47.00    (19)  all_25_11 = e12
% 240.34/47.00    (20)   ~ (all_14_17 = e14)
% 240.34/47.00    (21)  op1(e13, unit1) = e13
% 240.34/47.00    (22)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.00            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.00            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.00    (23)  op1(e13, e11) = e14
% 240.34/47.00    (24)  all_25_21 = e13
% 240.34/47.00    (25)  all_25_0 = e13
% 240.34/47.00    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.00            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.00    (27)  all_25_15 = e13
% 240.34/47.00    (28)   ~ (e13 = e11)
% 240.34/47.00    (29)  op1(e13, e12) = e10
% 240.34/47.00    (30)   ~ (all_14_3 = e12)
% 240.34/47.01    (31)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 240.34/47.01              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 240.34/47.01            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.34/47.01    (32)  op1(e12, e11) = all_14_17
% 240.34/47.01    (33)  op1(e12, unit1) = e12
% 240.34/47.01    (34)  op1(e12, e11) = e12
% 240.34/47.01    (35)   ~ (e11 = e10)
% 240.34/47.01    (36)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 240.34/47.01              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 240.34/47.01            e10 & op1(e10, e11) = e10)
% 240.34/47.01    (37)  op1(e13, e13) = e11
% 240.34/47.01    (38)  op1(e11, e14) = all_14_3
% 240.34/47.01    (39)   ~ (e12 = e10)
% 240.34/47.01    (40)  all_25_10 = e14
% 240.34/47.01    (41)   ~ (all_14_9 = e12)
% 240.34/47.01    (42)   ~ (all_14_19 = e14)
% 240.34/47.01    (43)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.01            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.01            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.01    (44)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.34/47.01              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.34/47.01            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.34/47.01    (45)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.01    (46)  op1(e14, e12) = all_14_10
% 240.34/47.01    (47)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.34/47.01            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.34/47.01            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.01    (48)  all_25_8 = e13
% 240.34/47.01    (49)  op1(e11, unit1) = e11
% 240.34/47.01    (50)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.01            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.01            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.01    (51)  op1(e10, e11) = all_14_19
% 240.34/47.01    (52)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.01            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/47.01            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.01    (53)   ~ (all_14_17 = e13)
% 240.34/47.01    (54)  op1(e13, e14) = e12
% 240.34/47.01    (55)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.34/47.01            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.34/47.01            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.34/47.01    (56)  all_25_17 = e13
% 240.34/47.01  
% 240.34/47.01  Begin of proof
% 240.34/47.01  | 
% 240.34/47.01  | GROUND_INST: instantiating (26) with all_14_17, e12, e11, e12, simplifying
% 240.34/47.01  |              with (32), (34) gives:
% 240.34/47.01  |   (57)  all_14_17 = e12
% 240.34/47.01  | 
% 240.34/47.01  | REDUCE: (20), (57) imply:
% 240.34/47.01  |   (58)   ~ (e14 = e12)
% 240.34/47.01  | 
% 240.34/47.01  | SIMP: (58) implies:
% 240.34/47.01  |   (59)   ~ (e14 = e12)
% 240.34/47.01  | 
% 240.34/47.01  | REDUCE: (53), (57) imply:
% 240.34/47.01  |   (60)   ~ (e13 = e12)
% 240.34/47.01  | 
% 240.34/47.01  | SIMP: (60) implies:
% 240.34/47.01  |   (61)   ~ (e13 = e12)
% 240.34/47.01  | 
% 240.34/47.01  | BETA: splitting (1) gives:
% 240.34/47.01  | 
% 240.34/47.01  | Case 1:
% 240.34/47.01  | | 
% 240.34/47.01  | |   (62)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 &
% 240.34/47.01  | |           op1(e11, e13) = e12)
% 240.34/47.01  | | 
% 240.34/47.01  | | REF_CLOSE: (3), (5), (6), (8), (10), (12), (13), (14), (15), (17), (18),
% 240.34/47.01  | |            (24), (26), (28), (29), (30), (35), (37), (38), (39), (43), (47),
% 240.34/47.01  | |            (50), (52), (56), (59), (61), (62) are inconsistent by sub-proof
% 240.34/47.01  | |            #154.
% 240.34/47.01  | | 
% 240.34/47.01  | Case 2:
% 240.34/47.01  | | 
% 240.34/47.01  | |   (63)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 = e12 &
% 240.34/47.01  | |           op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.01  | | 
% 240.34/47.01  | | BETA: splitting (63) gives:
% 240.34/47.01  | | 
% 240.34/47.01  | | Case 1:
% 240.34/47.01  | | | 
% 240.34/47.01  | | |   (64)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | ALPHA: (64) implies:
% 240.34/47.01  | | |   (65)  all_25_14 = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | BETA: splitting (55) gives:
% 240.34/47.01  | | | 
% 240.34/47.01  | | | Case 1:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | |   (66)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 &
% 240.34/47.01  | | | |           op1(e13, e12) = e11)
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | BETA: splitting (66) gives:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | Case 1:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (67)  all_25_4 = e11 & op1(e14, e12) = e11
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (13), (16), (67) are inconsistent by sub-proof #921.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | Case 2:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (68)  all_25_5 = e11 & op1(e13, e12) = e11
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (26), (29), (35), (68) are inconsistent by sub-proof #1285.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | End of split
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | Case 2:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | |   (69)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.34/47.01  | | | |           op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | BETA: splitting (69) gives:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | Case 1:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (70)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (28), (48), (70) are inconsistent by sub-proof #444.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | Case 2:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (71)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 240.34/47.01  | | | | |           op1(e10, e12) = e11)
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | BETA: splitting (71) gives:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | Case 1:
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | |   (72)  all_25_14 = e11 & op1(e11, e12) = e11
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | | REF_CLOSE: (12), (65), (72) are inconsistent by sub-proof #1108.
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | Case 2:
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | |   (73)  all_25_22 = e11 & op1(e10, e12) = e11
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | | ALPHA: (73) implies:
% 240.34/47.01  | | | | | |   (74)  all_25_22 = e11
% 240.34/47.01  | | | | | |   (75)  op1(e10, e12) = e11
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 240.34/47.01  | | | | | |            (14), (15), (17), (18), (19), (21), (22), (23), (24),
% 240.34/47.01  | | | | | |            (25), (26), (27), (28), (29), (31), (35), (36), (37),
% 240.34/47.01  | | | | | |            (39), (40), (41), (42), (43), (44), (45), (46), (50),
% 240.34/47.01  | | | | | |            (51), (54), (56), (59), (61), (74), (75) are inconsistent
% 240.34/47.01  | | | | | |            by sub-proof #33.
% 240.34/47.01  | | | | | | 
% 240.34/47.01  | | | | | End of split
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | End of split
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | End of split
% 240.34/47.01  | | | 
% 240.34/47.01  | | Case 2:
% 240.34/47.01  | | | 
% 240.34/47.01  | | |   (76)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 &
% 240.34/47.01  | | |           op1(e11, e10) = e12)
% 240.34/47.01  | | | 
% 240.34/47.01  | | | REF_CLOSE: (3), (5), (6), (9), (10), (11), (12), (13), (14), (17), (18),
% 240.34/47.01  | | |            (21), (23), (26), (27), (28), (29), (33), (35), (37), (39),
% 240.34/47.01  | | |            (43), (45), (49), (50), (54), (59), (61), (76) are inconsistent
% 240.34/47.01  | | |            by sub-proof #44.
% 240.34/47.01  | | | 
% 240.34/47.01  | | End of split
% 240.34/47.01  | | 
% 240.34/47.01  | End of split
% 240.34/47.01  | 
% 240.34/47.01  End of proof
% 240.34/47.01  
% 240.34/47.01  Sub-proof #33 shows that the following formulas are inconsistent:
% 240.34/47.01  ----------------------------------------------------------------
% 240.34/47.01    (1)   ~ (all_14_10 = e10)
% 240.34/47.01    (2)   ~ (e14 = e10)
% 240.34/47.01    (3)  op1(e10, e13) = all_14_9
% 240.34/47.01    (4)  all_25_2 = e12
% 240.34/47.01    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.01           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.01           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.01    (6)  all_25_22 = e11
% 240.34/47.01    (7)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.34/47.01           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.01           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.01    (8)  all_25_1 = e12
% 240.34/47.01    (9)  op1(e14, unit1) = e14
% 240.34/47.01    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.01            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.01            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.01    (11)   ~ (e12 = e11)
% 240.34/47.01    (12)   ~ (e14 = e11)
% 240.34/47.01    (13)  all_25_3 = e11
% 240.34/47.01    (14)  op1(e10, e13) = e13
% 240.34/47.01    (15)   ~ (e13 = e10)
% 240.34/47.01    (16)   ~ (e14 = e13)
% 240.34/47.01    (17)  all_25_11 = e12
% 240.34/47.01    (18)  op1(e13, unit1) = e13
% 240.34/47.01    (19)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.01            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.01            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.01    (20)  op1(e13, e11) = e14
% 240.34/47.01    (21)  all_25_21 = e13
% 240.34/47.01    (22)  all_25_0 = e13
% 240.34/47.01    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.01            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.01    (24)  all_25_15 = e13
% 240.34/47.01    (25)   ~ (e13 = e11)
% 240.34/47.01    (26)  op1(e13, e12) = e10
% 240.34/47.01    (27)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 240.34/47.01              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 240.34/47.01            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.34/47.01    (28)   ~ (e11 = e10)
% 240.34/47.01    (29)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 240.34/47.01              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 240.34/47.01            e10 & op1(e10, e11) = e10)
% 240.34/47.01    (30)   ~ (e13 = e12)
% 240.34/47.01    (31)  op1(e13, e13) = e11
% 240.34/47.01    (32)   ~ (e12 = e10)
% 240.34/47.01    (33)  all_25_10 = e14
% 240.34/47.01    (34)   ~ (all_14_9 = e12)
% 240.34/47.01    (35)   ~ (all_14_19 = e14)
% 240.34/47.01    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.01            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.01            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.01    (37)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.34/47.01              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.34/47.01            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.34/47.01    (38)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.01    (39)  op1(e14, e12) = all_14_10
% 240.34/47.01    (40)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.01            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.01            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.01    (41)  op1(e10, e11) = all_14_19
% 240.34/47.01    (42)  op1(e13, e14) = e12
% 240.34/47.01    (43)   ~ (e14 = e12)
% 240.34/47.01    (44)  op1(e10, e12) = e11
% 240.34/47.01    (45)  all_25_17 = e13
% 240.34/47.01  
% 240.34/47.01  Begin of proof
% 240.34/47.01  | 
% 240.34/47.01  | BETA: splitting (27) gives:
% 240.34/47.01  | 
% 240.34/47.01  | Case 1:
% 240.34/47.01  | | 
% 240.34/47.01  | |   (46)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 240.34/47.01  | |           op1(e10, e13) = e12)
% 240.34/47.01  | | 
% 240.34/47.01  | | BETA: splitting (46) gives:
% 240.34/47.01  | | 
% 240.34/47.01  | | Case 1:
% 240.34/47.01  | | | 
% 240.34/47.01  | | |   (47)  all_25_20 = e12 & op1(e10, e14) = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | ALPHA: (47) implies:
% 240.34/47.01  | | |   (48)  all_25_20 = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | BETA: splitting (29) gives:
% 240.34/47.01  | | | 
% 240.34/47.01  | | | Case 1:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | |   (49)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 &
% 240.34/47.01  | | | |           op1(e10, e13) = e10)
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | BETA: splitting (49) gives:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | Case 1:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (50)  all_25_20 = e10 & op1(e10, e14) = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | ALPHA: (50) implies:
% 240.34/47.01  | | | | |   (51)  all_25_20 = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | COMBINE_EQS: (48), (51) imply:
% 240.34/47.01  | | | | |   (52)  e12 = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | COMBINE_EQS: (4), (52) imply:
% 240.34/47.01  | | | | |   (53)  all_25_2 = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (15), (16), (23), (25), (26),
% 240.34/47.01  | | | | |            (28), (30), (31), (32), (36), (40), (43), (53) are
% 240.34/47.01  | | | | |            inconsistent by sub-proof #1281.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | Case 2:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (54)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (2), (4), (5), (12), (13), (15), (16), (21), (23), (25),
% 240.34/47.01  | | | | |            (26), (30), (31), (40), (43), (45), (54) are inconsistent
% 240.34/47.01  | | | | |            by sub-proof #934.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | End of split
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | Case 2:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | |   (55)  (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 = e10 &
% 240.34/47.01  | | | |           op1(e10, e11) = e10)
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | BETA: splitting (55) gives:
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | | Case 1:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (56)  all_25_22 = e10 & op1(e10, e12) = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | ALPHA: (56) implies:
% 240.34/47.01  | | | | |   (57)  all_25_22 = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (6), (28), (57) are inconsistent by sub-proof #101.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | Case 2:
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | |   (58)  all_25_23 = e10 & op1(e10, e11) = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | ALPHA: (58) implies:
% 240.34/47.01  | | | | |   (59)  all_25_23 = e10
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 240.34/47.01  | | | | |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 240.34/47.01  | | | | |            (26), (28), (30), (31), (32), (33), (36), (38), (39), (40),
% 240.34/47.01  | | | | |            (42), (43), (45), (59) are inconsistent by sub-proof #35.
% 240.34/47.01  | | | | | 
% 240.34/47.01  | | | | End of split
% 240.34/47.01  | | | | 
% 240.34/47.01  | | | End of split
% 240.34/47.01  | | | 
% 240.34/47.01  | | Case 2:
% 240.34/47.01  | | | 
% 240.34/47.01  | | |   (60)  all_25_21 = e12 & op1(e10, e13) = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | REF_CLOSE: (3), (23), (34), (60) are inconsistent by sub-proof #1265.
% 240.34/47.01  | | | 
% 240.34/47.01  | | End of split
% 240.34/47.01  | | 
% 240.34/47.01  | Case 2:
% 240.34/47.01  | | 
% 240.34/47.01  | |   (61)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 240.34/47.01  | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.34/47.01  | | 
% 240.34/47.01  | | BETA: splitting (61) gives:
% 240.34/47.01  | | 
% 240.34/47.01  | | Case 1:
% 240.34/47.01  | | | 
% 240.34/47.01  | | |   (62)  all_25_22 = e12 & op1(e10, e12) = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | ALPHA: (62) implies:
% 240.34/47.01  | | |   (63)  op1(e10, e12) = e12
% 240.34/47.01  | | | 
% 240.34/47.01  | | | REF_CLOSE: (11), (23), (44), (63) are inconsistent by sub-proof #118.
% 240.34/47.01  | | | 
% 240.34/47.01  | | Case 2:
% 240.34/47.01  | | | 
% 240.34/47.02  | | |   (64)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 240.34/47.02  | | |           op1(e10, e10) = e12)
% 240.34/47.02  | | | 
% 240.34/47.02  | | | BETA: splitting (64) gives:
% 240.34/47.02  | | | 
% 240.34/47.02  | | | Case 1:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | |   (65)  all_25_23 = e12 & op1(e10, e11) = e12
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | ALPHA: (65) implies:
% 240.34/47.02  | | | |   (66)  all_25_23 = e12
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | BETA: splitting (7) gives:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | Case 1:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | |   (67)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 &
% 240.34/47.02  | | | | |           op1(e13, e11) = e11)
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | BETA: splitting (67) gives:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | Case 1:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (68)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (10), (11), (12), (13),
% 240.34/47.02  | | | | | |            (15), (16), (18), (19), (20), (22), (23), (25), (26),
% 240.34/47.02  | | | | | |            (28), (30), (31), (32), (36), (38), (39), (40), (42),
% 240.34/47.02  | | | | | |            (43), (45), (68) are inconsistent by sub-proof #36.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | Case 2:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (69)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (12), (33), (69) are inconsistent by sub-proof #984.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | End of split
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | Case 2:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | |   (70)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.02  | | | | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) =
% 240.34/47.02  | | | | |           e11)
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | BETA: splitting (70) gives:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | Case 1:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (71)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (11), (17), (71) are inconsistent by sub-proof #1149.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | Case 2:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (72)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.34/47.02  | | | | | |           op1(e10, e11) = e11)
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (11), (24), (25), (66), (72) are inconsistent by
% 240.34/47.02  | | | | | |            sub-proof #440.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | End of split
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | End of split
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | Case 2:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | |   (73)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | ALPHA: (73) implies:
% 240.34/47.02  | | | |   (74)  all_25_24 = e12
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | BETA: splitting (37) gives:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | Case 1:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | |   (75)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 240.34/47.02  | | | | |           op1(e10, e13) = e14)
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | BETA: splitting (75) gives:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | Case 1:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (76)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | ALPHA: (76) implies:
% 240.34/47.02  | | | | | |   (77)  all_25_20 = e14
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | BETA: splitting (29) gives:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | Case 1:
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | |   (78)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10
% 240.34/47.02  | | | | | | |           & op1(e10, e13) = e10)
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | | BETA: splitting (78) gives:
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | | Case 1:
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | |   (79)  all_25_20 = e10 & op1(e10, e14) = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | REF_CLOSE: (2), (77), (79) are inconsistent by sub-proof #34.
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | Case 2:
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | |   (80)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | REF_CLOSE: (2), (4), (5), (12), (13), (15), (16), (21), (23),
% 240.34/47.02  | | | | | | | |            (25), (26), (30), (31), (40), (43), (45), (80) are
% 240.34/47.02  | | | | | | | |            inconsistent by sub-proof #934.
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | End of split
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | Case 2:
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | |   (81)  (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 = e10
% 240.34/47.02  | | | | | | |           & op1(e10, e11) = e10)
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | | BETA: splitting (81) gives:
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | | Case 1:
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | |   (82)  all_25_22 = e10 & op1(e10, e12) = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | ALPHA: (82) implies:
% 240.34/47.02  | | | | | | | |   (83)  all_25_22 = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | REF_CLOSE: (6), (28), (83) are inconsistent by sub-proof #101.
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | Case 2:
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | |   (84)  all_25_23 = e10 & op1(e10, e11) = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | ALPHA: (84) implies:
% 240.34/47.02  | | | | | | | |   (85)  all_25_23 = e10
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12),
% 240.34/47.02  | | | | | | | |            (13), (15), (16), (17), (18), (19), (20), (22), (23),
% 240.34/47.02  | | | | | | | |            (24), (25), (26), (28), (30), (31), (32), (33), (36),
% 240.34/47.02  | | | | | | | |            (38), (39), (40), (42), (43), (45), (85) are
% 240.34/47.02  | | | | | | | |            inconsistent by sub-proof #35.
% 240.34/47.02  | | | | | | | | 
% 240.34/47.02  | | | | | | | End of split
% 240.34/47.02  | | | | | | | 
% 240.34/47.02  | | | | | | End of split
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | Case 2:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (86)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | ALPHA: (86) implies:
% 240.34/47.02  | | | | | |   (87)  op1(e10, e13) = e14
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (14), (16), (23), (87) are inconsistent by sub-proof
% 240.34/47.02  | | | | | |            #1274.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | End of split
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | Case 2:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | |   (88)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 240.34/47.02  | | | | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) =
% 240.34/47.02  | | | | |           e14)
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | BETA: splitting (88) gives:
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | | Case 1:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (89)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (6), (12), (89) are inconsistent by sub-proof #41.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | Case 2:
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | |   (90)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 240.34/47.02  | | | | | |           op1(e10, e10) = e14)
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | | REF_CLOSE: (23), (35), (41), (43), (74), (90) are inconsistent by
% 240.34/47.02  | | | | | |            sub-proof #133.
% 240.34/47.02  | | | | | | 
% 240.34/47.02  | | | | | End of split
% 240.34/47.02  | | | | | 
% 240.34/47.02  | | | | End of split
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | End of split
% 240.34/47.02  | | | 
% 240.34/47.02  | | End of split
% 240.34/47.02  | | 
% 240.34/47.02  | End of split
% 240.34/47.02  | 
% 240.34/47.02  End of proof
% 240.34/47.02  
% 240.34/47.02  Sub-proof #34 shows that the following formulas are inconsistent:
% 240.34/47.02  ----------------------------------------------------------------
% 240.34/47.02    (1)  all_25_20 = e10 & op1(e10, e14) = e10
% 240.34/47.02    (2)  all_25_20 = e14
% 240.34/47.02    (3)   ~ (e14 = e10)
% 240.34/47.02  
% 240.34/47.02  Begin of proof
% 240.34/47.02  | 
% 240.34/47.02  | ALPHA: (1) implies:
% 240.34/47.02  |   (4)  all_25_20 = e10
% 240.34/47.02  | 
% 240.34/47.02  | COMBINE_EQS: (2), (4) imply:
% 240.34/47.02  |   (5)  e14 = e10
% 240.34/47.02  | 
% 240.34/47.02  | REDUCE: (3), (5) imply:
% 240.34/47.02  |   (6)  $false
% 240.34/47.02  | 
% 240.34/47.02  | CLOSE: (6) is inconsistent.
% 240.34/47.02  | 
% 240.34/47.02  End of proof
% 240.34/47.02  
% 240.34/47.02  Sub-proof #35 shows that the following formulas are inconsistent:
% 240.34/47.02  ----------------------------------------------------------------
% 240.34/47.02    (1)   ~ (all_14_10 = e10)
% 240.34/47.02    (2)   ~ (e14 = e10)
% 240.34/47.02    (3)  all_25_2 = e12
% 240.34/47.02    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.02           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.02           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.02    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.34/47.02           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.02           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.02    (6)  all_25_1 = e12
% 240.34/47.02    (7)  op1(e14, unit1) = e14
% 240.34/47.02    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.02           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.02           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.02    (9)   ~ (e12 = e11)
% 240.34/47.02    (10)   ~ (e14 = e11)
% 240.34/47.02    (11)  all_25_3 = e11
% 240.34/47.02    (12)   ~ (e13 = e10)
% 240.34/47.02    (13)   ~ (e14 = e13)
% 240.34/47.02    (14)  all_25_11 = e12
% 240.34/47.02    (15)  op1(e13, unit1) = e13
% 240.34/47.02    (16)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.02            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.02            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.02    (17)  op1(e13, e11) = e14
% 240.34/47.02    (18)  all_25_0 = e13
% 240.34/47.02    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.02            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.02    (20)  all_25_15 = e13
% 240.34/47.02    (21)   ~ (e13 = e11)
% 240.34/47.02    (22)  op1(e13, e12) = e10
% 240.34/47.02    (23)   ~ (e11 = e10)
% 240.34/47.02    (24)   ~ (e13 = e12)
% 240.34/47.02    (25)  op1(e13, e13) = e11
% 240.34/47.02    (26)  all_25_23 = e10
% 240.34/47.02    (27)   ~ (e12 = e10)
% 240.34/47.02    (28)  all_25_10 = e14
% 240.34/47.02    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.02            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.02            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.02    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.02    (31)  op1(e14, e12) = all_14_10
% 240.34/47.02    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.02            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.02            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.02    (33)  op1(e13, e14) = e12
% 240.34/47.02    (34)   ~ (e14 = e12)
% 240.34/47.02    (35)  all_25_17 = e13
% 240.34/47.02  
% 240.34/47.02  Begin of proof
% 240.34/47.02  | 
% 240.34/47.02  | BETA: splitting (5) gives:
% 240.34/47.02  | 
% 240.34/47.02  | Case 1:
% 240.34/47.02  | | 
% 240.34/47.02  | |   (36)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 240.34/47.02  | |             e11) = e11)
% 240.34/47.02  | | 
% 240.34/47.02  | | BETA: splitting (36) gives:
% 240.34/47.02  | | 
% 240.34/47.02  | | Case 1:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (37)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 240.34/47.02  | | |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 240.34/47.02  | | |            (27), (29), (30), (31), (32), (33), (34), (35), (37) are
% 240.34/47.02  | | |            inconsistent by sub-proof #36.
% 240.34/47.02  | | | 
% 240.34/47.02  | | Case 2:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (38)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (10), (28), (38) are inconsistent by sub-proof #984.
% 240.34/47.02  | | | 
% 240.34/47.02  | | End of split
% 240.34/47.02  | | 
% 240.34/47.02  | Case 2:
% 240.34/47.02  | | 
% 240.34/47.02  | |   (39)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.02  | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.02  | | 
% 240.34/47.02  | | BETA: splitting (39) gives:
% 240.34/47.02  | | 
% 240.34/47.02  | | Case 1:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (40)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (9), (14), (40) are inconsistent by sub-proof #1149.
% 240.34/47.02  | | | 
% 240.34/47.02  | | Case 2:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (41)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.34/47.02  | | |           op1(e10, e11) = e11)
% 240.34/47.02  | | | 
% 240.34/47.02  | | | BETA: splitting (41) gives:
% 240.34/47.02  | | | 
% 240.34/47.02  | | | Case 1:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | |   (42)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | REF_CLOSE: (20), (21), (42) are inconsistent by sub-proof #441.
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | Case 2:
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | |   (43)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | ALPHA: (43) implies:
% 240.34/47.02  | | | |   (44)  all_25_23 = e11
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | | REF_CLOSE: (23), (26), (44) are inconsistent by sub-proof #151.
% 240.34/47.02  | | | | 
% 240.34/47.02  | | | End of split
% 240.34/47.02  | | | 
% 240.34/47.02  | | End of split
% 240.34/47.02  | | 
% 240.34/47.02  | End of split
% 240.34/47.02  | 
% 240.34/47.02  End of proof
% 240.34/47.02  
% 240.34/47.02  Sub-proof #36 shows that the following formulas are inconsistent:
% 240.34/47.02  ----------------------------------------------------------------
% 240.34/47.02    (1)   ~ (all_14_10 = e10)
% 240.34/47.02    (2)   ~ (e14 = e10)
% 240.34/47.02    (3)  all_25_2 = e12
% 240.34/47.02    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.02           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.02           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.02    (5)  all_25_1 = e12
% 240.34/47.02    (6)  op1(e14, unit1) = e14
% 240.34/47.02    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.02           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.02           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.02    (8)   ~ (e12 = e11)
% 240.34/47.02    (9)   ~ (e14 = e11)
% 240.34/47.02    (10)  all_25_3 = e11
% 240.34/47.02    (11)   ~ (e13 = e10)
% 240.34/47.02    (12)   ~ (e14 = e13)
% 240.34/47.02    (13)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.34/47.02    (14)  op1(e13, unit1) = e13
% 240.34/47.02    (15)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.02            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.02            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.02    (16)  op1(e13, e11) = e14
% 240.34/47.02    (17)  all_25_0 = e13
% 240.34/47.02    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.02            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.02    (19)   ~ (e13 = e11)
% 240.34/47.02    (20)  op1(e13, e12) = e10
% 240.34/47.02    (21)   ~ (e11 = e10)
% 240.34/47.02    (22)   ~ (e13 = e12)
% 240.34/47.02    (23)  op1(e13, e13) = e11
% 240.34/47.02    (24)   ~ (e12 = e10)
% 240.34/47.02    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.02            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.02            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.02    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.02    (27)  op1(e14, e12) = all_14_10
% 240.34/47.02    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.02            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.02            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.02    (29)  op1(e13, e14) = e12
% 240.34/47.02    (30)   ~ (e14 = e12)
% 240.34/47.02    (31)  all_25_17 = e13
% 240.34/47.02  
% 240.34/47.02  Begin of proof
% 240.34/47.02  | 
% 240.34/47.02  | ALPHA: (13) implies:
% 240.34/47.02  |   (32)  all_25_9 = e11
% 240.34/47.02  | 
% 240.34/47.02  | BETA: splitting (15) gives:
% 240.34/47.02  | 
% 240.34/47.02  | Case 1:
% 240.34/47.02  | | 
% 240.34/47.02  | |   (33)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 240.34/47.02  | |             e13) = e10)
% 240.34/47.02  | | 
% 240.34/47.02  | | BETA: splitting (33) gives:
% 240.34/47.02  | | 
% 240.34/47.02  | | Case 1:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (34)  all_25_0 = e10 & op1(e14, e14) = e10
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (2), (3), (4), (9), (10), (11), (12), (17), (18), (19), (20),
% 240.34/47.02  | | |            (22), (23), (28), (30), (31), (34) are inconsistent by
% 240.34/47.02  | | |            sub-proof #1246.
% 240.34/47.02  | | | 
% 240.34/47.02  | | Case 2:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (35)  all_25_1 = e10 & op1(e14, e13) = e10
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (18), (19),
% 240.34/47.02  | | |            (20), (21), (22), (23), (24), (25), (28), (30), (35) are
% 240.34/47.02  | | |            inconsistent by sub-proof #1280.
% 240.34/47.02  | | | 
% 240.34/47.02  | | End of split
% 240.34/47.02  | | 
% 240.34/47.02  | Case 2:
% 240.34/47.02  | | 
% 240.34/47.02  | |   (36)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 240.34/47.02  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.02  | | 
% 240.34/47.02  | | BETA: splitting (36) gives:
% 240.34/47.02  | | 
% 240.34/47.02  | | Case 1:
% 240.34/47.02  | | | 
% 240.34/47.02  | | |   (37)  all_25_4 = e10 & op1(e14, e12) = e10
% 240.34/47.02  | | | 
% 240.34/47.02  | | | ALPHA: (37) implies:
% 240.34/47.02  | | |   (38)  op1(e14, e12) = e10
% 240.34/47.02  | | | 
% 240.34/47.02  | | | REF_CLOSE: (1), (18), (27), (38) are inconsistent by sub-proof #973.
% 240.34/47.03  | | | 
% 240.34/47.03  | | Case 2:
% 240.34/47.03  | | | 
% 240.34/47.03  | | |   (39)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 240.34/47.03  | | |           op1(e14, e10) = e10)
% 240.34/47.03  | | | 
% 240.34/47.03  | | | REF_CLOSE: (6), (11), (12), (14), (16), (18), (20), (21), (22), (26),
% 240.34/47.03  | | |            (29), (32), (39) are inconsistent by sub-proof #60.
% 240.34/47.03  | | | 
% 240.34/47.03  | | End of split
% 240.34/47.03  | | 
% 240.34/47.03  | End of split
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #37 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)   ~ (e13 = e10)
% 240.34/47.03    (2)   ~ (all_14_10 = e13)
% 240.34/47.03    (3)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.34/47.03           = e13)
% 240.34/47.03    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.03           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.03    (5)  op1(e13, e12) = e10
% 240.34/47.03    (6)  op1(e14, e12) = all_14_10
% 240.34/47.03  
% 240.34/47.03  Begin of proof
% 240.34/47.03  | 
% 240.34/47.03  | BETA: splitting (3) gives:
% 240.34/47.03  | 
% 240.34/47.03  | Case 1:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (7)  all_25_4 = e13 & op1(e14, e12) = e13
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (2), (4), (6), (7) are inconsistent by sub-proof #968.
% 240.34/47.03  | | 
% 240.34/47.03  | Case 2:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (8)  all_25_5 = e13 & op1(e13, e12) = e13
% 240.34/47.03  | | 
% 240.34/47.03  | | ALPHA: (8) implies:
% 240.34/47.03  | |   (9)  op1(e13, e12) = e13
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1334.
% 240.34/47.03  | | 
% 240.34/47.03  | End of split
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #38 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)   ~ (e14 = e10)
% 240.34/47.03    (2)  all_25_2 = e12
% 240.34/47.03    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.03           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.03           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.03    (4)  all_25_4 = e13
% 240.34/47.03    (5)   ~ (all_14_12 = e13)
% 240.34/47.03    (6)   ~ (e14 = e11)
% 240.34/47.03    (7)  all_25_3 = e11
% 240.34/47.03    (8)   ~ (e13 = e10)
% 240.34/47.03    (9)  op1(e11, e12) = all_14_13
% 240.34/47.03    (10)   ~ (e14 = e13)
% 240.34/47.03    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.34/47.03            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.34/47.03            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.34/47.03    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.03            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.03    (13)  all_25_15 = e13
% 240.34/47.03    (14)   ~ (e13 = e11)
% 240.34/47.03    (15)  op1(e13, e12) = e10
% 240.34/47.03    (16)   ~ (e13 = e12)
% 240.34/47.03    (17)  op1(e13, e13) = e11
% 240.34/47.03    (18)   ~ (all_14_13 = e13)
% 240.34/47.03    (19)   ~ (e12 = e10)
% 240.34/47.03    (20)   ~ (all_14_14 = e13)
% 240.34/47.03    (21)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10,
% 240.34/47.03              e11) = e10)
% 240.34/47.03    (22)  op1(e12, e12) = all_14_12
% 240.34/47.03    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.03            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.03            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.03    (24)  op1(e10, e12) = all_14_14
% 240.34/47.03    (25)   ~ (e14 = e12)
% 240.34/47.03    (26)  all_25_23 = e12
% 240.34/47.03    (27)  all_25_17 = e13
% 240.34/47.03  
% 240.34/47.03  Begin of proof
% 240.34/47.03  | 
% 240.34/47.03  | BETA: splitting (21) gives:
% 240.34/47.03  | 
% 240.34/47.03  | Case 1:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (28)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.34/47.03  | |            (13), (14), (15), (16), (17), (18), (20), (22), (23), (24), (25),
% 240.34/47.03  | |            (27), (28) are inconsistent by sub-proof #1157.
% 240.34/47.03  | | 
% 240.34/47.03  | Case 2:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (29)  all_25_23 = e10 & op1(e10, e11) = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | ALPHA: (29) implies:
% 240.34/47.03  | |   (30)  all_25_23 = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | COMBINE_EQS: (26), (30) imply:
% 240.34/47.03  | |   (31)  e12 = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | REDUCE: (19), (31) imply:
% 240.34/47.03  | |   (32)  $false
% 240.34/47.03  | | 
% 240.34/47.03  | | CLOSE: (32) is inconsistent.
% 240.34/47.03  | | 
% 240.34/47.03  | End of split
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #39 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)  all_25_4 = e13
% 240.34/47.03    (2)   ~ (all_14_12 = e13)
% 240.34/47.03    (3)   ~ (e12 = e11)
% 240.34/47.03    (4)   ~ (e13 = e10)
% 240.34/47.03    (5)  op1(e11, e12) = all_14_13
% 240.34/47.03    (6)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.34/47.03           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.34/47.03           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.34/47.03    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.03           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.03    (8)  all_25_15 = e13
% 240.34/47.03    (9)   ~ (e13 = e11)
% 240.34/47.03    (10)  op1(e13, e12) = e10
% 240.34/47.03    (11)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 240.34/47.03              e11) = e11)
% 240.34/47.03    (12)   ~ (all_14_13 = e13)
% 240.34/47.03    (13)   ~ (all_14_14 = e13)
% 240.34/47.03    (14)  op1(e12, e12) = all_14_12
% 240.34/47.03    (15)  op1(e10, e12) = all_14_14
% 240.34/47.03    (16)  all_25_23 = e12
% 240.34/47.03  
% 240.34/47.03  Begin of proof
% 240.34/47.03  | 
% 240.34/47.03  | BETA: splitting (11) gives:
% 240.34/47.03  | 
% 240.34/47.03  | Case 1:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (17)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 240.34/47.03  | |            (15), (17) are inconsistent by sub-proof #1107.
% 240.34/47.03  | | 
% 240.34/47.03  | Case 2:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (18)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.34/47.03  | | 
% 240.34/47.03  | | ALPHA: (18) implies:
% 240.34/47.03  | |   (19)  all_25_23 = e11
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (3), (16), (19) are inconsistent by sub-proof #1262.
% 240.34/47.03  | | 
% 240.34/47.03  | End of split
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #40 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)   ~ (e14 = e10)
% 240.34/47.03    (2)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.03           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.03           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.03    (3)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 240.34/47.03           = e10)
% 240.34/47.03    (4)   ~ (e12 = e11)
% 240.34/47.03    (5)   ~ (e13 = e10)
% 240.34/47.03    (6)   ~ (e14 = e13)
% 240.34/47.03    (7)  all_25_9 = e11
% 240.34/47.03    (8)  op1(e13, e11) = e14
% 240.34/47.03    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.03           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.03    (10)   ~ (e13 = e11)
% 240.34/47.03    (11)  op1(e13, e12) = e10
% 240.34/47.03    (12)   ~ (e11 = e10)
% 240.34/47.03    (13)   ~ (e13 = e12)
% 240.34/47.03    (14)  op1(e13, e13) = e11
% 240.34/47.03    (15)   ~ (e12 = e10)
% 240.34/47.03    (16)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.03            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.03            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.03    (17)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.03            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.03            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.03    (18)   ~ (e14 = e12)
% 240.34/47.03  
% 240.34/47.03  Begin of proof
% 240.34/47.03  | 
% 240.34/47.03  | BETA: splitting (3) gives:
% 240.34/47.03  | 
% 240.34/47.03  | Case 1:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (19)  all_25_9 = e10 & op1(e14, e11) = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | ALPHA: (19) implies:
% 240.34/47.03  | |   (20)  all_25_9 = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (7), (12), (20) are inconsistent by sub-proof #1238.
% 240.34/47.03  | | 
% 240.34/47.03  | Case 2:
% 240.34/47.03  | | 
% 240.34/47.03  | |   (21)  all_25_10 = e10 & op1(e13, e11) = e10
% 240.34/47.03  | | 
% 240.34/47.03  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 240.34/47.03  | |            (15), (16), (17), (18), (21) are inconsistent by sub-proof #1092.
% 240.34/47.03  | | 
% 240.34/47.03  | End of split
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #41 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.34/47.03    (2)  all_25_22 = e11
% 240.34/47.03    (3)   ~ (e14 = e11)
% 240.34/47.03  
% 240.34/47.03  Begin of proof
% 240.34/47.03  | 
% 240.34/47.03  | ALPHA: (1) implies:
% 240.34/47.03  |   (4)  all_25_22 = e14
% 240.34/47.03  | 
% 240.34/47.03  | COMBINE_EQS: (2), (4) imply:
% 240.34/47.03  |   (5)  e14 = e11
% 240.34/47.03  | 
% 240.34/47.03  | REDUCE: (3), (5) imply:
% 240.34/47.03  |   (6)  $false
% 240.34/47.03  | 
% 240.34/47.03  | CLOSE: (6) is inconsistent.
% 240.34/47.03  | 
% 240.34/47.03  End of proof
% 240.34/47.03  
% 240.34/47.03  Sub-proof #42 shows that the following formulas are inconsistent:
% 240.34/47.03  ----------------------------------------------------------------
% 240.34/47.03    (1)  all_25_9 = e10
% 240.34/47.03    (2)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.34/47.03             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.34/47.03           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.03    (3)   ~ (e14 = e10)
% 240.34/47.03    (4)  all_25_2 = e12
% 240.34/47.03    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.03           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.03           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.03    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.34/47.03           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.03           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.03    (7)  all_25_1 = e12
% 240.34/47.03    (8)  op1(e14, unit1) = e14
% 240.34/47.03    (9)  all_25_4 = e13
% 240.34/47.03    (10)   ~ (all_14_12 = e13)
% 240.34/47.03    (11)  op1(e10, e14) = all_14_4
% 240.34/47.03    (12)   ~ (all_14_15 = e13)
% 240.34/47.03    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.03            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.03            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.03    (14)  all_25_8 = e11
% 240.34/47.03    (15)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.34/47.03              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.34/47.03            e10 & op1(e11, e10) = e10)
% 240.34/47.03    (16)   ~ (e12 = e11)
% 240.34/47.03    (17)   ~ (e14 = e11)
% 240.34/47.03    (18)  all_25_3 = e11
% 240.34/47.03    (19)  op1(e10, e13) = e13
% 240.34/47.03    (20)   ~ (e13 = e10)
% 240.34/47.03    (21)  op1(e11, e12) = all_14_13
% 240.34/47.03    (22)   ~ (e14 = e13)
% 240.34/47.03    (23)  all_25_11 = e12
% 240.34/47.03    (24)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.34/47.03            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.34/47.03            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.34/47.03    (25)   ~ (all_14_15 = e12)
% 240.34/47.03    (26)   ~ (all_14_15 = all_14_19)
% 240.34/47.03    (27)   ~ (all_14_19 = e12)
% 240.34/47.03    (28)  op1(e14, e11) = all_14_15
% 240.34/47.03    (29)  op1(e13, unit1) = e13
% 240.34/47.03    (30)  op1(e13, e11) = e14
% 240.34/47.03    (31)  all_25_21 = e13
% 240.34/47.03    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.03            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.03    (33)  all_25_15 = e13
% 240.34/47.03    (34)   ~ (e13 = e11)
% 240.34/47.03    (35)  op1(e13, e12) = e10
% 240.34/47.03    (36)   ~ (all_14_2 = e12)
% 240.34/47.03    (37)   ~ (all_14_3 = e12)
% 240.34/47.03    (38)  op1(e12, unit1) = e12
% 240.34/47.03    (39)   ~ (e11 = e10)
% 240.34/47.03    (40)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 240.34/47.03              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 240.34/47.03            e10 & op1(e10, e11) = e10)
% 240.34/47.03    (41)  op1(e12, e14) = all_14_2
% 240.34/47.03    (42)   ~ (e13 = e12)
% 240.34/47.03    (43)  op1(e13, e13) = e11
% 240.34/47.03    (44)  op1(e14, e11) = e10
% 240.34/47.03    (45)  op1(e11, e14) = all_14_3
% 240.34/47.03    (46)   ~ (all_14_13 = e13)
% 240.34/47.03    (47)  all_25_10 = e14
% 240.34/47.03    (48)   ~ (all_14_19 = e14)
% 240.34/47.03    (49)   ~ (all_14_14 = e13)
% 240.34/47.03    (50)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.03            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.03            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.03    (51)   ~ (all_14_15 = e14)
% 240.34/47.03    (52)   ~ (all_14_19 = e13)
% 240.34/47.03    (53)  op1(e12, e12) = all_14_12
% 240.34/47.04    (54)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.04    (55)  op1(unit1, e14) = e14
% 240.34/47.04    (56)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.34/47.04            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.34/47.04            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.04    (57)  op1(e11, unit1) = e11
% 240.34/47.04    (58)  op1(unit1, e12) = e12
% 240.34/47.04    (59)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.04            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.04            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.04    (60)  op1(e10, e11) = all_14_19
% 240.34/47.04    (61)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.04            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/47.04            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.04    (62)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.34/47.04            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.34/47.04            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.34/47.04    (63)  op1(e10, e12) = all_14_14
% 240.34/47.04    (64)  op1(e13, e14) = e12
% 240.34/47.04    (65)   ~ (e14 = e12)
% 240.34/47.04    (66)   ~ (all_14_14 = e10)
% 240.34/47.04    (67)  all_25_17 = e13
% 240.34/47.04  
% 240.34/47.04  Begin of proof
% 240.34/47.04  | 
% 240.34/47.04  | BETA: splitting (6) gives:
% 240.34/47.04  | 
% 240.34/47.04  | Case 1:
% 240.34/47.04  | | 
% 240.34/47.04  | |   (68)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 240.34/47.04  | |             e11) = e11)
% 240.34/47.04  | | 
% 240.34/47.04  | | REF_CLOSE: (1), (17), (39), (47), (68) are inconsistent by sub-proof #419.
% 240.34/47.04  | | 
% 240.34/47.04  | Case 2:
% 240.34/47.04  | | 
% 240.34/47.04  | |   (69)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.34/47.04  | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.34/47.04  | | 
% 240.34/47.04  | | BETA: splitting (69) gives:
% 240.34/47.04  | | 
% 240.34/47.04  | | Case 1:
% 240.34/47.04  | | | 
% 240.34/47.04  | | |   (70)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.34/47.04  | | | 
% 240.34/47.04  | | | REF_CLOSE: (16), (23), (70) are inconsistent by sub-proof #1149.
% 240.34/47.04  | | | 
% 240.34/47.04  | | Case 2:
% 240.34/47.04  | | | 
% 240.34/47.04  | | |   (71)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.34/47.04  | | |           op1(e10, e11) = e11)
% 240.34/47.04  | | | 
% 240.34/47.04  | | | BETA: splitting (71) gives:
% 240.34/47.04  | | | 
% 240.34/47.04  | | | Case 1:
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | |   (72)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | | REF_CLOSE: (9), (10), (20), (21), (24), (32), (33), (34), (35), (46),
% 240.34/47.04  | | | |            (49), (53), (63), (72) are inconsistent by sub-proof #1107.
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | Case 2:
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | |   (73)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | | ALPHA: (73) implies:
% 240.34/47.04  | | | |   (74)  all_25_23 = e11
% 240.34/47.04  | | | |   (75)  op1(e10, e11) = e11
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | | BETA: splitting (40) gives:
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | | Case 1:
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | |   (76)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 &
% 240.34/47.04  | | | | |           op1(e10, e13) = e10)
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | | BETA: splitting (76) gives:
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | | Case 1:
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | |   (77)  all_25_20 = e10 & op1(e10, e14) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | ALPHA: (77) implies:
% 240.34/47.04  | | | | | |   (78)  op1(e10, e14) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | GROUND_INST: instantiating (32) with all_14_19, e11, e11, e10,
% 240.34/47.04  | | | | | |              simplifying with (60), (75) gives:
% 240.34/47.04  | | | | | |   (79)  all_14_19 = e11
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | GROUND_INST: instantiating (32) with all_14_4, e10, e14, e10,
% 240.34/47.04  | | | | | |              simplifying with (11), (78) gives:
% 240.34/47.04  | | | | | |   (80)  all_14_4 = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | GROUND_INST: instantiating (32) with all_14_15, e10, e11, e14,
% 240.34/47.04  | | | | | |              simplifying with (28), (44) gives:
% 240.34/47.04  | | | | | |   (81)  all_14_15 = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (26), (79), (81) imply:
% 240.34/47.04  | | | | | |   (82)   ~ (e11 = e10)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (51), (81) imply:
% 240.34/47.04  | | | | | |   (83)   ~ (e14 = e10)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (12), (81) imply:
% 240.34/47.04  | | | | | |   (84)   ~ (e13 = e10)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (25), (81) imply:
% 240.34/47.04  | | | | | |   (85)   ~ (e12 = e10)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | SIMP: (85) implies:
% 240.34/47.04  | | | | | |   (86)   ~ (e12 = e10)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (48), (79) imply:
% 240.34/47.04  | | | | | |   (87)   ~ (e14 = e11)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (52), (79) imply:
% 240.34/47.04  | | | | | |   (88)   ~ (e13 = e11)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REDUCE: (27), (79) imply:
% 240.34/47.04  | | | | | |   (89)   ~ (e12 = e11)
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | BETA: splitting (62) gives:
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | Case 1:
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | |   (90)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 &
% 240.34/47.04  | | | | | | |           op1(e13, e12) = e14)
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | | REF_CLOSE: (3), (9), (22), (32), (35), (90) are inconsistent by
% 240.34/47.04  | | | | | | |            sub-proof #45.
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | Case 2:
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | |   (91)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14
% 240.34/47.04  | | | | | | |           & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10,
% 240.34/47.04  | | | | | | |             e12) = e14)
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | | BETA: splitting (91) gives:
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | | Case 1:
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | |   (92)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | | ALPHA: (92) implies:
% 240.34/47.04  | | | | | | | |   (93)  all_25_8 = e14
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | | REF_CLOSE: (14), (17), (93) are inconsistent by sub-proof #1113.
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | Case 2:
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | |   (94)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 =
% 240.34/47.04  | | | | | | | |           e14 & op1(e10, e12) = e14)
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | | BETA: splitting (94) gives:
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | | Case 1:
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | |   (95)  all_25_14 = e14 & op1(e11, e12) = e14
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | | ALPHA: (95) implies:
% 240.34/47.04  | | | | | | | | |   (96)  all_25_14 = e14
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (13), (15), (16),
% 240.34/47.04  | | | | | | | | |            (17), (18), (19), (20), (22), (29), (30), (31),
% 240.34/47.04  | | | | | | | | |            (32), (33), (34), (35), (37), (38), (39), (42),
% 240.34/47.04  | | | | | | | | |            (43), (45), (50), (54), (56), (57), (59), (61),
% 240.34/47.04  | | | | | | | | |            (64), (65), (67), (86), (96) are inconsistent by
% 240.34/47.04  | | | | | | | | |            sub-proof #43.
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | Case 2:
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | |   (97)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | | ALPHA: (97) implies:
% 240.34/47.04  | | | | | | | | |   (98)  op1(e10, e12) = e14
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | | REF_CLOSE: (20), (22), (29), (30), (32), (35), (36), (38),
% 240.34/47.04  | | | | | | | | |            (41), (54), (55), (58), (78), (98) are inconsistent
% 240.34/47.04  | | | | | | | | |            by sub-proof #71.
% 240.34/47.04  | | | | | | | | | 
% 240.34/47.04  | | | | | | | | End of split
% 240.34/47.04  | | | | | | | | 
% 240.34/47.04  | | | | | | | End of split
% 240.34/47.04  | | | | | | | 
% 240.34/47.04  | | | | | | End of split
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | Case 2:
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | |   (99)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | ALPHA: (99) implies:
% 240.34/47.04  | | | | | |   (100)  all_25_21 = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | COMBINE_EQS: (31), (100) imply:
% 240.34/47.04  | | | | | |   (101)  e13 = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REF_CLOSE: (3), (4), (5), (9), (10), (17), (18), (20), (21), (22),
% 240.34/47.04  | | | | | |            (24), (32), (34), (35), (42), (43), (46), (49), (53),
% 240.34/47.04  | | | | | |            (59), (63), (65), (67), (101) are inconsistent by
% 240.34/47.04  | | | | | |            sub-proof #1043.
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | End of split
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | Case 2:
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | |   (102)  (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 = e10 &
% 240.34/47.04  | | | | |            op1(e10, e11) = e10)
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | | BETA: splitting (102) gives:
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | | Case 1:
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | |   (103)  all_25_22 = e10 & op1(e10, e12) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | ALPHA: (103) implies:
% 240.34/47.04  | | | | | |   (104)  op1(e10, e12) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REF_CLOSE: (32), (63), (66), (104) are inconsistent by sub-proof
% 240.34/47.04  | | | | | |            #65.
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | Case 2:
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | |   (105)  all_25_23 = e10 & op1(e10, e11) = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | ALPHA: (105) implies:
% 240.34/47.04  | | | | | |   (106)  all_25_23 = e10
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | | REF_CLOSE: (39), (74), (106) are inconsistent by sub-proof #151.
% 240.34/47.04  | | | | | | 
% 240.34/47.04  | | | | | End of split
% 240.34/47.04  | | | | | 
% 240.34/47.04  | | | | End of split
% 240.34/47.04  | | | | 
% 240.34/47.04  | | | End of split
% 240.34/47.04  | | | 
% 240.34/47.04  | | End of split
% 240.34/47.04  | | 
% 240.34/47.04  | End of split
% 240.34/47.04  | 
% 240.34/47.04  End of proof
% 240.34/47.04  
% 240.34/47.04  Sub-proof #43 shows that the following formulas are inconsistent:
% 240.34/47.04  ----------------------------------------------------------------
% 240.34/47.04    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.34/47.04             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.34/47.04           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.04    (2)   ~ (e14 = e10)
% 240.34/47.04    (3)  all_25_2 = e12
% 240.34/47.04    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.04           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.04           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.04    (5)  all_25_1 = e12
% 240.34/47.04    (6)  op1(e14, unit1) = e14
% 240.34/47.04    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.04           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.04           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.04    (8)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.34/47.04             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.34/47.04           e10 & op1(e11, e10) = e10)
% 240.34/47.04    (9)   ~ (e12 = e11)
% 240.34/47.04    (10)   ~ (e14 = e11)
% 240.34/47.04    (11)  all_25_3 = e11
% 240.34/47.04    (12)  op1(e10, e13) = e13
% 240.34/47.04    (13)   ~ (e13 = e10)
% 240.34/47.04    (14)   ~ (e14 = e13)
% 240.34/47.04    (15)  op1(e13, unit1) = e13
% 240.34/47.04    (16)  op1(e13, e11) = e14
% 240.34/47.04    (17)  all_25_21 = e13
% 240.34/47.04    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.04            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.04    (19)  all_25_15 = e13
% 240.34/47.04    (20)   ~ (e13 = e11)
% 240.34/47.04    (21)  op1(e13, e12) = e10
% 240.34/47.04    (22)   ~ (all_14_3 = e12)
% 240.34/47.04    (23)  op1(e12, unit1) = e12
% 240.34/47.04    (24)   ~ (e11 = e10)
% 240.34/47.04    (25)   ~ (e13 = e12)
% 240.34/47.04    (26)  op1(e13, e13) = e11
% 240.34/47.04    (27)  all_25_14 = e14
% 240.34/47.04    (28)  op1(e11, e14) = all_14_3
% 240.34/47.04    (29)   ~ (e12 = e10)
% 240.34/47.04    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.04            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.04            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.04    (31)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.04    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.34/47.04            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.34/47.04            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.04    (33)  op1(e11, unit1) = e11
% 240.34/47.04    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.04            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.04            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.04    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.04            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/47.04            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.04    (36)  op1(e13, e14) = e12
% 240.34/47.04    (37)   ~ (e14 = e12)
% 240.34/47.04    (38)  all_25_17 = e13
% 240.34/47.04  
% 240.34/47.04  Begin of proof
% 240.34/47.04  | 
% 240.34/47.04  | BETA: splitting (1) gives:
% 240.34/47.04  | 
% 240.34/47.04  | Case 1:
% 240.34/47.04  | | 
% 240.34/47.04  | |   (39)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 &
% 240.34/47.04  | |           op1(e11, e13) = e12)
% 240.34/47.04  | | 
% 240.34/47.04  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (14), (17),
% 240.34/47.04  | |            (18), (20), (21), (22), (24), (25), (26), (28), (29), (30), (32),
% 240.34/47.04  | |            (34), (35), (37), (38), (39) are inconsistent by sub-proof #154.
% 240.34/47.04  | | 
% 240.34/47.04  | Case 2:
% 240.34/47.04  | | 
% 240.34/47.04  | |   (40)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 = e12 &
% 240.34/47.04  | |           op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.04  | | 
% 240.34/47.04  | | BETA: splitting (40) gives:
% 240.34/47.04  | | 
% 240.34/47.04  | | Case 1:
% 240.34/47.04  | | | 
% 240.34/47.04  | | |   (41)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.34/47.04  | | | 
% 240.34/47.04  | | | REF_CLOSE: (27), (37), (41) are inconsistent by sub-proof #1002.
% 240.34/47.04  | | | 
% 240.34/47.04  | | Case 2:
% 240.34/47.04  | | | 
% 240.34/47.04  | | |   (42)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 &
% 240.34/47.04  | | |           op1(e11, e10) = e12)
% 240.34/47.04  | | | 
% 240.34/47.04  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 240.34/47.04  | | |            (15), (16), (18), (19), (20), (21), (23), (24), (25), (26),
% 240.34/47.04  | | |            (29), (30), (31), (33), (34), (36), (37), (42) are inconsistent
% 240.34/47.04  | | |            by sub-proof #44.
% 240.34/47.04  | | | 
% 240.34/47.04  | | End of split
% 240.34/47.04  | | 
% 240.34/47.04  | End of split
% 240.34/47.04  | 
% 240.34/47.04  End of proof
% 240.34/47.04  
% 240.34/47.04  Sub-proof #44 shows that the following formulas are inconsistent:
% 240.34/47.04  ----------------------------------------------------------------
% 240.34/47.04    (1)   ~ (e14 = e10)
% 240.34/47.04    (2)  all_25_2 = e12
% 240.34/47.04    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.04           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.04           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.04    (4)  op1(e14, unit1) = e14
% 240.34/47.04    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.04           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.04           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.04    (6)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.34/47.04             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.34/47.04           e10 & op1(e11, e10) = e10)
% 240.34/47.04    (7)   ~ (e12 = e11)
% 240.34/47.04    (8)   ~ (e14 = e11)
% 240.34/47.04    (9)  all_25_3 = e11
% 240.34/47.04    (10)   ~ (e13 = e10)
% 240.34/47.04    (11)   ~ (e14 = e13)
% 240.34/47.04    (12)  op1(e13, unit1) = e13
% 240.34/47.04    (13)  op1(e13, e11) = e14
% 240.34/47.04    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.04            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.04    (15)  all_25_15 = e13
% 240.34/47.05    (16)   ~ (e13 = e11)
% 240.34/47.05    (17)  op1(e13, e12) = e10
% 240.34/47.05    (18)  op1(e12, unit1) = e12
% 240.34/47.05    (19)   ~ (e11 = e10)
% 240.34/47.05    (20)   ~ (e13 = e12)
% 240.34/47.05    (21)  op1(e13, e13) = e11
% 240.34/47.05    (22)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11,
% 240.34/47.05              e10) = e12)
% 240.34/47.05    (23)   ~ (e12 = e10)
% 240.34/47.05    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.05            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.05            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.05    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.05    (26)  op1(e11, unit1) = e11
% 240.34/47.05    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.05            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.05            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.05    (28)  op1(e13, e14) = e12
% 240.34/47.05    (29)   ~ (e14 = e12)
% 240.34/47.05  
% 240.34/47.05  Begin of proof
% 240.34/47.05  | 
% 240.34/47.05  | BETA: splitting (22) gives:
% 240.34/47.05  | 
% 240.34/47.05  | Case 1:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (30)  all_25_15 = e12 & op1(e11, e11) = e12
% 240.34/47.05  | | 
% 240.34/47.05  | | REF_CLOSE: (15), (20), (30) are inconsistent by sub-proof #1088.
% 240.34/47.05  | | 
% 240.34/47.05  | Case 2:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (31)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.34/47.05  | | 
% 240.34/47.05  | | ALPHA: (31) implies:
% 240.34/47.05  | |   (32)  all_25_19 = e12
% 240.34/47.05  | |   (33)  op1(e11, e10) = e12
% 240.34/47.05  | | 
% 240.34/47.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.34/47.05  | |            (13), (14), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 240.34/47.05  | |            (26), (27), (28), (29), (32), (33) are inconsistent by sub-proof
% 240.34/47.05  | |            #139.
% 240.34/47.05  | | 
% 240.34/47.05  | End of split
% 240.34/47.05  | 
% 240.34/47.05  End of proof
% 240.34/47.05  
% 240.34/47.05  Sub-proof #45 shows that the following formulas are inconsistent:
% 240.34/47.05  ----------------------------------------------------------------
% 240.34/47.05    (1)   ~ (e14 = e10)
% 240.34/47.05    (2)  all_25_4 = e13
% 240.34/47.05    (3)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.34/47.05           = e14)
% 240.34/47.05    (4)   ~ (e14 = e13)
% 240.34/47.05    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.05           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.05    (6)  op1(e13, e12) = e10
% 240.34/47.05  
% 240.34/47.05  Begin of proof
% 240.34/47.05  | 
% 240.34/47.05  | BETA: splitting (3) gives:
% 240.34/47.05  | 
% 240.34/47.05  | Case 1:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (7)  all_25_4 = e14 & op1(e14, e12) = e14
% 240.34/47.05  | | 
% 240.34/47.05  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1236.
% 240.34/47.05  | | 
% 240.34/47.05  | Case 2:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (8)  all_25_5 = e14 & op1(e13, e12) = e14
% 240.34/47.05  | | 
% 240.34/47.05  | | ALPHA: (8) implies:
% 240.34/47.05  | |   (9)  op1(e13, e12) = e14
% 240.34/47.05  | | 
% 240.34/47.05  | | REF_CLOSE: (1), (5), (6), (9) are inconsistent by sub-proof #1286.
% 240.34/47.05  | | 
% 240.34/47.05  | End of split
% 240.34/47.05  | 
% 240.34/47.05  End of proof
% 240.34/47.05  
% 240.34/47.05  Sub-proof #46 shows that the following formulas are inconsistent:
% 240.34/47.05  ----------------------------------------------------------------
% 240.34/47.05    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.34/47.05             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.34/47.05           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.34/47.05    (2)  op1(e12, e13) = all_14_7
% 240.34/47.05    (3)   ~ (e14 = e10)
% 240.34/47.05    (4)  all_25_2 = e12
% 240.34/47.05    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.34/47.05           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.34/47.05           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.34/47.05    (6)  all_25_1 = e12
% 240.34/47.05    (7)  op1(e14, unit1) = e14
% 240.34/47.05    (8)  all_25_4 = e13
% 240.34/47.05    (9)   ~ (all_14_8 = all_14_13)
% 240.34/47.05    (10)  op1(e14, e14) = all_14_0
% 240.34/47.05    (11)   ~ (all_14_12 = e13)
% 240.34/47.05    (12)   ~ (all_14_8 = e12)
% 240.34/47.05    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.34/47.05            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.34/47.05            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.34/47.05    (14)   ~ (all_14_7 = e12)
% 240.34/47.05    (15)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.34/47.05              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.34/47.05            e10 & op1(e11, e10) = e10)
% 240.34/47.05    (16)   ~ (all_14_7 = e11)
% 240.34/47.05    (17)   ~ (e12 = e11)
% 240.34/47.05    (18)   ~ (all_14_0 = e12)
% 240.34/47.05    (19)   ~ (e14 = e11)
% 240.34/47.05    (20)  all_25_3 = e11
% 240.34/47.05    (21)  op1(e10, e13) = e13
% 240.34/47.05    (22)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 240.34/47.05            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 240.34/47.05            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 240.34/47.05    (23)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.34/47.05            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.34/47.05            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.34/47.05    (24)  op1(e11, e12) = all_14_13
% 240.34/47.05    (25)   ~ (e14 = e13)
% 240.34/47.05    (26)  all_25_11 = e12
% 240.34/47.05    (27)   ~ (all_14_7 = e13)
% 240.34/47.05    (28)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.34/47.05            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.34/47.05            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.34/47.05    (29)   ~ (all_14_17 = e14)
% 240.34/47.05    (30)  op1(e14, e11) = all_14_15
% 240.34/47.05    (31)  op1(e13, unit1) = e13
% 240.34/47.05    (32)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.34/47.05            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.34/47.05            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.34/47.05    (33)  op1(e13, e11) = e14
% 240.34/47.05    (34)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.34/47.05              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.34/47.05            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.34/47.05    (35)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 240.34/47.05              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 240.34/47.05            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.34/47.05    (36)  all_25_21 = e13
% 240.34/47.05    (37)  op1(e11, e13) = all_14_8
% 240.34/47.05    (38)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 240.34/47.05              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 240.34/47.05            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.34/47.05    (39)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.34/47.05            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.34/47.05    (40)   ~ (all_14_7 = all_14_8)
% 240.34/47.05    (41)  all_25_15 = e13
% 240.34/47.05    (42)   ~ (e13 = e11)
% 240.34/47.05    (43)  op1(e13, e12) = e10
% 240.34/47.05    (44)   ~ (all_14_3 = e12)
% 240.34/47.05    (45)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 240.34/47.05              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 240.34/47.05            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.34/47.05    (46)   ~ (all_14_8 = e13)
% 240.34/47.05    (47)  op1(e12, e11) = all_14_17
% 240.34/47.05    (48)  op1(e12, unit1) = e12
% 240.34/47.05    (49)   ~ (all_14_13 = e10)
% 240.34/47.05    (50)   ~ (all_14_20 = all_14_24)
% 240.34/47.05    (51)   ~ (e13 = e12)
% 240.34/47.05    (52)  op1(e13, e13) = e11
% 240.34/47.05    (53)  all_25_7 = e10
% 240.34/47.05    (54)  op1(e11, e14) = all_14_3
% 240.34/47.05    (55)   ~ (all_14_24 = e13)
% 240.34/47.05    (56)   ~ (all_14_13 = e13)
% 240.34/47.05    (57)  all_25_6 = e13
% 240.34/47.05    (58)   ~ (all_14_14 = e13)
% 240.34/47.05    (59)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.34/47.05            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.34/47.05            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.34/47.05    (60)  op1(e10, e10) = all_14_24
% 240.34/47.05    (61)   ~ (all_14_15 = e14)
% 240.34/47.05    (62)  op1(e14, e10) = all_14_20
% 240.34/47.05    (63)   ~ (all_14_20 = e12)
% 240.34/47.05    (64)  op1(e12, e12) = all_14_12
% 240.34/47.05    (65)  op1(e13, e10) = e13
% 240.34/47.05    (66)  op1(e12, e13) = e10
% 240.34/47.05    (67)   ~ (all_14_8 = e11)
% 240.34/47.05    (68)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.34/47.05    (69)   ~ (all_14_0 = e13)
% 240.34/47.05    (70)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.34/47.05            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.34/47.05            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.34/47.05    (71)  op1(e11, unit1) = e11
% 240.34/47.05    (72)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.05            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.34/47.05            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.05    (73)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.34/47.05            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.34/47.05            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.05    (74)  op1(e10, e12) = all_14_14
% 240.34/47.05    (75)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.34/47.05              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.34/47.05            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.34/47.05    (76)  op1(e13, e14) = e12
% 240.34/47.05    (77)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.34/47.05            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.34/47.05            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.34/47.05    (78)   ~ (e14 = e12)
% 240.34/47.05    (79)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.34/47.05            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.34/47.05            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.34/47.05    (80)  all_25_17 = e13
% 240.34/47.05  
% 240.34/47.05  Begin of proof
% 240.34/47.05  | 
% 240.34/47.05  | BETA: splitting (73) gives:
% 240.34/47.05  | 
% 240.34/47.05  | Case 1:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (81)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 240.34/47.05  | |             e13) = e14)
% 240.34/47.05  | | 
% 240.34/47.05  | | BETA: splitting (81) gives:
% 240.34/47.05  | | 
% 240.34/47.05  | | Case 1:
% 240.34/47.05  | | | 
% 240.34/47.05  | | |   (82)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.34/47.05  | | | 
% 240.34/47.05  | | | REF_CLOSE: (6), (78), (82) are inconsistent by sub-proof #1292.
% 240.34/47.05  | | | 
% 240.34/47.05  | | Case 2:
% 240.34/47.05  | | | 
% 240.34/47.05  | | |   (83)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.34/47.05  | | | 
% 240.34/47.05  | | | REF_CLOSE: (19), (20), (83) are inconsistent by sub-proof #1291.
% 240.34/47.05  | | | 
% 240.34/47.05  | | End of split
% 240.34/47.05  | | 
% 240.34/47.05  | Case 2:
% 240.34/47.05  | | 
% 240.34/47.05  | |   (84)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 240.34/47.05  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.34/47.05  | | 
% 240.34/47.05  | | BETA: splitting (84) gives:
% 240.34/47.05  | | 
% 240.34/47.05  | | Case 1:
% 240.34/47.05  | | | 
% 240.34/47.05  | | |   (85)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.34/47.05  | | | 
% 240.34/47.05  | | | REF_CLOSE: (3), (53), (85) are inconsistent by sub-proof #159.
% 240.34/47.05  | | | 
% 240.34/47.05  | | Case 2:
% 240.34/47.05  | | | 
% 240.34/47.05  | | |   (86)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 240.34/47.05  | | |           op1(e10, e13) = e14)
% 240.34/47.05  | | | 
% 240.34/47.05  | | | BETA: splitting (86) gives:
% 240.34/47.05  | | | 
% 240.34/47.05  | | | Case 1:
% 240.34/47.05  | | | | 
% 240.34/47.05  | | | |   (87)  all_25_13 = e14 & op1(e11, e13) = e14
% 240.34/47.05  | | | | 
% 240.34/47.05  | | | | ALPHA: (87) implies:
% 240.34/47.05  | | | |   (88)  all_25_13 = e14
% 240.34/47.05  | | | |   (89)  op1(e11, e13) = e14
% 240.34/47.05  | | | | 
% 240.34/47.05  | | | | GROUND_INST: instantiating (39) with all_14_8, e14, e13, e11,
% 240.34/47.05  | | | |              simplifying with (37), (89) gives:
% 240.34/47.05  | | | |   (90)  all_14_8 = e14
% 240.34/47.05  | | | | 
% 240.34/47.06  | | | | GROUND_INST: instantiating (39) with all_14_7, e10, e13, e12,
% 240.34/47.06  | | | |              simplifying with (2), (66) gives:
% 240.34/47.06  | | | |   (91)  all_14_7 = e10
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | REDUCE: (40), (90), (91) imply:
% 240.34/47.06  | | | |   (92)   ~ (e14 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | REDUCE: (27), (91) imply:
% 240.34/47.06  | | | |   (93)   ~ (e13 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | SIMP: (93) implies:
% 240.34/47.06  | | | |   (94)   ~ (e13 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | REDUCE: (14), (91) imply:
% 240.34/47.06  | | | |   (95)   ~ (e12 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | SIMP: (95) implies:
% 240.34/47.06  | | | |   (96)   ~ (e12 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | REDUCE: (16), (91) imply:
% 240.34/47.06  | | | |   (97)   ~ (e11 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | SIMP: (97) implies:
% 240.34/47.06  | | | |   (98)   ~ (e11 = e10)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | REDUCE: (9), (90) imply:
% 240.34/47.06  | | | |   (99)   ~ (all_14_13 = e14)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | SIMP: (99) implies:
% 240.34/47.06  | | | |   (100)   ~ (all_14_13 = e14)
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | BETA: splitting (75) gives:
% 240.34/47.06  | | | | 
% 240.34/47.06  | | | | Case 1:
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | |   (101)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 240.34/47.06  | | | | |            op1(e13, e10) = e12)
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | | REF_CLOSE: (39), (51), (62), (63), (65), (101) are inconsistent by
% 240.34/47.06  | | | | |            sub-proof #145.
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | Case 2:
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | |   (102)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 240.34/47.06  | | | | |            op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 240.34/47.06  | | | | |            e12)
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | | BETA: splitting (102) gives:
% 240.34/47.06  | | | | | 
% 240.34/47.06  | | | | | Case 1:
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | |   (103)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | | ALPHA: (103) implies:
% 240.34/47.06  | | | | | |   (104)  all_25_18 = e12
% 240.34/47.06  | | | | | |   (105)  op1(e12, e10) = e12
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | | BETA: splitting (79) gives:
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | | Case 1:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | |   (106)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11
% 240.34/47.06  | | | | | | |            & op1(e12, e13) = e11)
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | BETA: splitting (106) gives:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (107)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | REF_CLOSE: (8), (11), (24), (28), (39), (42), (43), (56), (57),
% 240.34/47.06  | | | | | | | |            (58), (64), (74), (94), (107) are inconsistent by
% 240.34/47.06  | | | | | | | |            sub-proof #1164.
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (108)  all_25_7 = e11 & op1(e12, e13) = e11
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | REF_CLOSE: (53), (98), (108) are inconsistent by sub-proof
% 240.34/47.06  | | | | | | | |            #1014.
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | End of split
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | Case 2:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | |   (109)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11
% 240.34/47.06  | | | | | | |            & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12,
% 240.34/47.06  | | | | | | |              e10) = e11)
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | BETA: splitting (109) gives:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (110)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | ALPHA: (110) implies:
% 240.34/47.06  | | | | | | | |   (111)  all_25_8 = e11
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | BETA: splitting (23) gives:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | |   (112)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 =
% 240.34/47.06  | | | | | | | | |            e14 & op1(e12, e13) = e14)
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | REF_CLOSE: (3), (6), (19), (20), (21), (25), (39), (53), (57),
% 240.34/47.06  | | | | | | | | |            (73), (78), (88), (112) are inconsistent by
% 240.34/47.06  | | | | | | | | |            sub-proof #1173.
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | |   (113)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 =
% 240.34/47.06  | | | | | | | | |            e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 240.34/47.06  | | | | | | | | |            op1(e12, e10) = e14)
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | BETA: splitting (113) gives:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | |   (114)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | ALPHA: (114) implies:
% 240.34/47.06  | | | | | | | | | |   (115)  all_25_8 = e14
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | COMBINE_EQS: (111), (115) imply:
% 240.34/47.06  | | | | | | | | | |   (116)  e14 = e11
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | COMBINE_EQS: (88), (116) imply:
% 240.34/47.06  | | | | | | | | | |   (117)  all_25_13 = e11
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (17), (19),
% 240.34/47.06  | | | | | | | | | |            (20), (21), (24), (25), (28), (36), (39), (42),
% 240.34/47.06  | | | | | | | | | |            (43), (51), (52), (56), (58), (59), (64), (70),
% 240.34/47.06  | | | | | | | | | |            (72), (73), (74), (78), (80), (94), (96), (98),
% 240.34/47.06  | | | | | | | | | |            (117) are inconsistent by sub-proof #54.
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | |   (118)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 240.34/47.06  | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | BETA: splitting (118) gives:
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | |   (119)  all_25_11 = e14 & op1(e12, e11) = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | REF_CLOSE: (29), (39), (47), (119) are inconsistent by
% 240.34/47.06  | | | | | | | | | | |            sub-proof #1162.
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | |   (120)  all_25_18 = e14 & op1(e12, e10) = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | ALPHA: (120) implies:
% 240.34/47.06  | | | | | | | | | | |   (121)  all_25_18 = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (13), (17), (19), (20), (21),
% 240.34/47.06  | | | | | | | | | | |            (25), (36), (39), (42), (43), (51), (52), (59),
% 240.34/47.06  | | | | | | | | | | |            (70), (72), (73), (78), (80), (88), (94), (96),
% 240.34/47.06  | | | | | | | | | | |            (98), (104), (121) are inconsistent by sub-proof
% 240.34/47.06  | | | | | | | | | | |            #111.
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | End of split
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | End of split
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | End of split
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (122)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 =
% 240.34/47.06  | | | | | | | |            e11 & op1(e12, e10) = e11)
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | BETA: splitting (122) gives:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | |   (123)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | REF_CLOSE: (17), (26), (123) are inconsistent by sub-proof
% 240.34/47.06  | | | | | | | | |            #1149.
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | |   (124)  all_25_18 = e11 & op1(e12, e10) = e11
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | ALPHA: (124) implies:
% 240.34/47.06  | | | | | | | | |   (125)  op1(e12, e10) = e11
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | REF_CLOSE: (17), (39), (105), (125) are inconsistent by
% 240.34/47.06  | | | | | | | | |            sub-proof #926.
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | End of split
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | End of split
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | End of split
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | Case 2:
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | |   (126)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12
% 240.34/47.06  | | | | | |            & op1(e10, e10) = e12)
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | | BETA: splitting (126) gives:
% 240.34/47.06  | | | | | | 
% 240.34/47.06  | | | | | | Case 1:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | |   (127)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | REF_CLOSE: (2), (4), (5), (7), (12), (13), (14), (15), (16), (17),
% 240.34/47.06  | | | | | | |            (20), (27), (31), (33), (37), (39), (40), (42), (43),
% 240.34/47.06  | | | | | | |            (46), (48), (51), (52), (59), (66), (67), (68), (71),
% 240.34/47.06  | | | | | | |            (72), (76), (89), (127) are inconsistent by sub-proof
% 240.34/47.06  | | | | | | |            #49.
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | Case 2:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | |   (128)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | ALPHA: (128) implies:
% 240.34/47.06  | | | | | | |   (129)  op1(e10, e10) = e12
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | GROUND_INST: instantiating (39) with all_14_24, e12, e10, e10,
% 240.34/47.06  | | | | | | |              simplifying with (60), (129) gives:
% 240.34/47.06  | | | | | | |   (130)  all_14_24 = e12
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | REDUCE: (55), (130) imply:
% 240.34/47.06  | | | | | | |   (131)   ~ (e13 = e12)
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | BETA: splitting (1) gives:
% 240.34/47.06  | | | | | | | 
% 240.34/47.06  | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (132)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 =
% 240.34/47.06  | | | | | | | |            e12 & op1(e11, e13) = e12)
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (13), (17), (19), (20), (21),
% 240.34/47.06  | | | | | | | |            (25), (36), (39), (42), (43), (44), (51), (52), (54),
% 240.34/47.06  | | | | | | | |            (59), (70), (72), (73), (78), (80), (94), (96), (98),
% 240.34/47.06  | | | | | | | |            (132) are inconsistent by sub-proof #154.
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | |   (133)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.34/47.06  | | | | | | | |            e12 & op1(e11, e11) = e12) | (all_25_19 = e12 &
% 240.34/47.06  | | | | | | | |            op1(e11, e10) = e12)
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | BETA: splitting (133) gives:
% 240.34/47.06  | | | | | | | | 
% 240.34/47.06  | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | |   (134)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | ALPHA: (134) implies:
% 240.34/47.06  | | | | | | | | |   (135)  all_25_14 = e12
% 240.34/47.06  | | | | | | | | |   (136)  op1(e11, e12) = e12
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | GROUND_INST: instantiating (39) with all_14_13, e12, e12, e11,
% 240.34/47.06  | | | | | | | | |              simplifying with (24), (136) gives:
% 240.34/47.06  | | | | | | | | |   (137)  all_14_13 = e12
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | REDUCE: (100), (137) imply:
% 240.34/47.06  | | | | | | | | |   (138)   ~ (e14 = e12)
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | BETA: splitting (77) gives:
% 240.34/47.06  | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | |   (139)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 240.34/47.06  | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | BETA: splitting (139) gives:
% 240.34/47.06  | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | |   (140)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | ALPHA: (140) implies:
% 240.34/47.06  | | | | | | | | | | |   (141)  all_25_0 = e14
% 240.34/47.06  | | | | | | | | | | |   (142)  op1(e14, e14) = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | GROUND_INST: instantiating (39) with all_14_0, e14, e14, e14,
% 240.34/47.06  | | | | | | | | | | |              simplifying with (10), (142) gives:
% 240.34/47.06  | | | | | | | | | | |   (143)  all_14_0 = e14
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | BETA: splitting (38) gives:
% 240.34/47.06  | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | |   (144)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 240.34/47.06  | | | | | | | | | | | |          (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.34/47.06  | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | BETA: splitting (144) gives:
% 240.34/47.06  | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | Case 1:
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | |   (145)  all_25_16 = e14 & op1(e14, e10) = e14
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | | ALPHA: (145) implies:
% 240.34/47.06  | | | | | | | | | | | | |   (146)  op1(e14, e10) = e14
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (15), (17),
% 240.34/47.06  | | | | | | | | | | | | |            (19), (20), (21), (23), (24), (25), (26), (28),
% 240.34/47.06  | | | | | | | | | | | | |            (29), (31), (33), (36), (39), (42), (43), (47),
% 240.34/47.06  | | | | | | | | | | | | |            (51), (52), (53), (56), (57), (58), (59), (64),
% 240.34/47.06  | | | | | | | | | | | | |            (68), (70), (71), (72), (73), (74), (76), (78),
% 240.34/47.06  | | | | | | | | | | | | |            (79), (80), (88), (94), (96), (98), (146) are
% 240.34/47.06  | | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | |   (147)  all_25_17 = e14 & op1(e13, e10) = e14
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (25), (33), (39), (42), (43), (51),
% 240.34/47.06  | | | | | | | | | | | | |            (52), (94), (147) are inconsistent by sub-proof
% 240.34/47.06  | | | | | | | | | | | | |            #1136.
% 240.34/47.06  | | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | | End of split
% 240.34/47.06  | | | | | | | | | | | | 
% 240.34/47.06  | | | | | | | | | | | Case 2:
% 240.34/47.06  | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | |   (148)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 240.53/47.06  | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14) |
% 240.53/47.06  | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.53/47.06  | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | BETA: splitting (148) gives:
% 240.53/47.06  | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | |   (149)  all_25_18 = e14 & op1(e12, e10) = e14
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | ALPHA: (149) implies:
% 240.53/47.06  | | | | | | | | | | | | |   (150)  all_25_18 = e14
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | BETA: splitting (32) gives:
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | |   (151)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 240.53/47.06  | | | | | | | | | | | | | |            = e10 & op1(e14, e13) = e10)
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | |   (152)  all_25_0 = e10 & op1(e14, e14) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 240.53/47.06  | | | | | | | | | | | | | | |   (153)  all_25_0 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | COMBINE_EQS: (141), (153) imply:
% 240.53/47.06  | | | | | | | | | | | | | | |   (154)  e14 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | COMBINE_EQS: (150), (154) imply:
% 240.53/47.06  | | | | | | | | | | | | | | |   (155)  all_25_18 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (17), (19),
% 240.53/47.06  | | | | | | | | | | | | | | |            (20), (21), (23), (24), (25), (26), (28), (29),
% 240.53/47.06  | | | | | | | | | | | | | | |            (36), (39), (42), (43), (47), (51), (52), (53),
% 240.53/47.06  | | | | | | | | | | | | | | |            (56), (57), (58), (59), (64), (70), (72), (73),
% 240.53/47.06  | | | | | | | | | | | | | | |            (74), (78), (79), (80), (88), (94), (96), (98),
% 240.53/47.06  | | | | | | | | | | | | | | |            (155) are inconsistent by sub-proof #48.
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | |   (156)  all_25_1 = e10 & op1(e14, e13) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (13), (17), (19), (25), (39),
% 240.53/47.06  | | | | | | | | | | | | | | |            (42), (43), (51), (52), (59), (72), (78), (94),
% 240.53/47.06  | | | | | | | | | | | | | | |            (96), (98), (156) are inconsistent by sub-proof
% 240.53/47.06  | | | | | | | | | | | | | | |            #1280.
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | |   (157)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 240.53/47.06  | | | | | | | | | | | | | |            = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 240.53/47.06  | | | | | | | | | | | | | |            & op1(e14, e10) = e10)
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | |   (158)  all_25_4 = e10 & op1(e14, e12) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 240.53/47.06  | | | | | | | | | | | | | | |   (159)  all_25_4 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (11), (19), (20), (24), (25), (28),
% 240.53/47.06  | | | | | | | | | | | | | | |            (39), (42), (43), (51), (52), (56), (58), (64),
% 240.53/47.06  | | | | | | | | | | | | | | |            (72), (74), (78), (80), (94), (159) are
% 240.53/47.06  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1242.
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | |   (160)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 240.53/47.06  | | | | | | | | | | | | | | |          (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | |   (161)  all_25_9 = e10 & op1(e14, e11) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | |   (162)  all_25_9 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | |   (163)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 240.53/47.06  | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (164)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (165)  all_25_0 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (165) imply:
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (166)  e14 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (166) imply:
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (167)  all_25_13 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (17), (19),
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            (20), (21), (24), (25), (28), (36), (39), (42),
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            (43), (51), (52), (56), (58), (59), (64), (70),
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            (72), (73), (74), (78), (80), (94), (96), (98),
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            (167) are inconsistent by sub-proof #54.
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (168)  all_25_1 = e11 & op1(e14, e13) = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17), (168) are inconsistent by sub-proof
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            #1240.
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | |   (169)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 240.53/47.06  | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (170)  all_25_4 = e11 & op1(e14, e12) = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (171)  all_25_4 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (24), (28), (39), (42), (43), (56), (58),
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            (64), (74), (94), (171) are inconsistent by
% 240.53/47.06  | | | | | | | | | | | | | | | | | |            sub-proof #1239.
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | |   (172)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 240.53/47.06  | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |   (173)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |   (174)  all_25_9 = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (98), (162), (174) are inconsistent by sub-proof
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |            #1238.
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |   (175)  all_25_16 = e11 & op1(e14, e10) = e11
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19), (25), (31), (33), (39), (43), (51),
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |            (68), (76), (94), (175) are inconsistent by
% 240.53/47.06  | | | | | | | | | | | | | | | | | | |            sub-proof #124.
% 240.53/47.06  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | |   (176)  all_25_16 = e10 & op1(e14, e10) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | |   (177)  op1(e14, e10) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (25), (31), (33), (39), (43), (51), (68),
% 240.53/47.06  | | | | | | | | | | | | | | | |            (76), (94), (177) are inconsistent by sub-proof
% 240.53/47.06  | | | | | | | | | | | | | | | |            #142.
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | End of split
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | Case 2:
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | |   (178)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 240.53/47.06  | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | BETA: splitting (178) gives:
% 240.53/47.06  | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | |   (179)  all_25_19 = e14 & op1(e11, e10) = e14
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | ALPHA: (179) implies:
% 240.53/47.06  | | | | | | | | | | | | | |   (180)  all_25_19 = e14
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 240.53/47.06  | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | |   (181)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 240.53/47.06  | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | |   (182)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 240.53/47.06  | | | | | | | | | | | | | | | |   (183)  all_25_12 = e10
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 240.53/47.06  | | | | | | | | | | | | | | | | 
% 240.53/47.06  | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.06  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | |   (184)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.53/47.07  | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (185)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (186)  all_25_12 = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | REF_CLOSE: (98), (183), (186) are inconsistent by sub-proof
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            #1177.
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (187)  all_25_13 = e11 & op1(e11, e13) = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (188)  all_25_13 = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (17), (19),
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            (20), (21), (24), (25), (28), (36), (39), (42),
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            (43), (51), (52), (56), (58), (59), (64), (70),
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            (72), (73), (74), (78), (80), (94), (96), (98),
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            (188) are inconsistent by sub-proof #54.
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | |   (189)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 240.53/47.07  | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.53/47.07  | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (190)  all_25_14 = e11 & op1(e11, e12) = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (135), (190) are inconsistent by sub-proof
% 240.53/47.07  | | | | | | | | | | | | | | | | | |            #1108.
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | |   (191)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.53/47.07  | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |   (192)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (24), (28), (39), (41), (42), (43),
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            (56), (58), (64), (74), (94), (192) are
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1107.
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |   (193)  all_25_19 = e11 & op1(e11, e10) = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |   (194)  all_25_19 = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (194) imply:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |   (195)  e14 = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (195) imply:
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |   (196)  all_25_13 = e11
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (17), (19),
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            (20), (21), (24), (25), (28), (36), (39), (42),
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            (43), (51), (52), (56), (58), (59), (64), (70),
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            (72), (73), (74), (78), (80), (94), (96), (98),
% 240.53/47.07  | | | | | | | | | | | | | | | | | | |            (196) are inconsistent by sub-proof #54.
% 240.53/47.07  | | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | |   (197)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (88), (197) are inconsistent by sub-proof
% 240.53/47.07  | | | | | | | | | | | | | | | |            #1159.
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | |   (198)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.53/47.07  | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.53/47.07  | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.53/47.07  | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 240.53/47.07  | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | |   (199)  all_25_14 = e10 & op1(e11, e12) = e10
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 240.53/47.07  | | | | | | | | | | | | | | | |   (200)  op1(e11, e12) = e10
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | REF_CLOSE: (24), (39), (49), (200) are inconsistent by
% 240.53/47.07  | | | | | | | | | | | | | | | |            sub-proof #1158.
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | |   (201)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.53/47.07  | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | |   (202)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (8), (11), (19), (20), (24), (25),
% 240.53/47.07  | | | | | | | | | | | | | | | | |            (28), (39), (41), (42), (43), (51), (52), (56),
% 240.53/47.07  | | | | | | | | | | | | | | | | |            (58), (64), (72), (74), (78), (80), (94), (202)
% 240.53/47.07  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1157.
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | |   (203)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (31), (33), (39), (43), (51), (68), (71),
% 240.53/47.07  | | | | | | | | | | | | | | | | |            (76), (94), (203) are inconsistent by sub-proof
% 240.53/47.07  | | | | | | | | | | | | | | | | |            #115.
% 240.53/47.07  | | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | |   (204)  all_25_24 = e14 & op1(e10, e10) = e14
% 240.53/47.07  | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (13), (15), (17), (19), (20),
% 240.53/47.07  | | | | | | | | | | | | | |            (25), (31), (33), (34), (39), (42), (43), (48),
% 240.53/47.07  | | | | | | | | | | | | | |            (51), (52), (59), (62), (63), (65), (68), (71),
% 240.53/47.07  | | | | | | | | | | | | | |            (72), (75), (76), (78), (80), (94), (96), (98),
% 240.53/47.07  | | | | | | | | | | | | | |            (204) are inconsistent by sub-proof #68.
% 240.53/47.07  | | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | |   (205)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (13), (17), (19), (20), (21),
% 240.53/47.07  | | | | | | | | | | |            (25), (36), (39), (42), (43), (51), (52), (59),
% 240.53/47.07  | | | | | | | | | | |            (70), (72), (73), (78), (80), (88), (94), (96),
% 240.53/47.07  | | | | | | | | | | |            (98), (205) are inconsistent by sub-proof #110.
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | |   (206)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 240.53/47.07  | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 240.53/47.07  | | | | | | | | | |            op1(e14, e10) = e14)
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | BETA: splitting (206) gives:
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | |   (207)  all_25_4 = e14 & op1(e14, e12) = e14
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (19), (20), (21), (25), (39), (53),
% 240.53/47.07  | | | | | | | | | | |            (73), (78), (88), (207) are inconsistent by
% 240.53/47.07  | | | | | | | | | | |            sub-proof #1063.
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | |   (208)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 240.53/47.07  | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | BETA: splitting (208) gives:
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | |   (209)  all_25_9 = e14 & op1(e14, e11) = e14
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | REF_CLOSE: (30), (39), (61), (209) are inconsistent by
% 240.53/47.07  | | | | | | | | | | | |            sub-proof #1340.
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | |   (210)  all_25_16 = e14 & op1(e14, e10) = e14
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | ALPHA: (210) implies:
% 240.53/47.07  | | | | | | | | | | | |   (211)  op1(e14, e10) = e14
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (13), (15), (17),
% 240.53/47.07  | | | | | | | | | | | |            (19), (20), (21), (23), (24), (25), (26), (28),
% 240.53/47.07  | | | | | | | | | | | |            (29), (31), (33), (36), (39), (42), (43), (47),
% 240.53/47.07  | | | | | | | | | | | |            (51), (52), (53), (56), (57), (58), (59), (64),
% 240.53/47.07  | | | | | | | | | | | |            (68), (70), (71), (72), (73), (74), (76), (78),
% 240.53/47.07  | | | | | | | | | | | |            (79), (80), (88), (94), (96), (98), (211) are
% 240.53/47.07  | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 240.53/47.07  | | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | 
% 240.53/47.07  | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | 
% 240.53/47.07  | | | | | | | | |   (212)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19
% 240.53/47.07  | | | | | | | | |            = e12 & op1(e11, e10) = e12)
% 240.53/47.07  | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | BETA: splitting (212) gives:
% 240.53/47.07  | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | Case 1:
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | |   (213)  all_25_15 = e12 & op1(e11, e11) = e12
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | REF_CLOSE: (41), (51), (213) are inconsistent by sub-proof
% 240.53/47.07  | | | | | | | | | |            #1088.
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | Case 2:
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | |   (214)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | | REF_CLOSE: (2), (4), (5), (7), (12), (13), (14), (15), (16),
% 240.53/47.07  | | | | | | | | | |            (17), (20), (27), (31), (33), (37), (39), (40),
% 240.53/47.07  | | | | | | | | | |            (42), (43), (46), (48), (51), (52), (59), (66),
% 240.53/47.07  | | | | | | | | | |            (67), (68), (71), (72), (76), (89), (214) are
% 240.53/47.07  | | | | | | | | | |            inconsistent by sub-proof #49.
% 240.53/47.07  | | | | | | | | | | 
% 240.53/47.07  | | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | | 
% 240.53/47.07  | | | | | | | | End of split
% 240.53/47.07  | | | | | | | | 
% 240.53/47.07  | | | | | | | End of split
% 240.53/47.07  | | | | | | | 
% 240.53/47.07  | | | | | | End of split
% 240.53/47.07  | | | | | | 
% 240.53/47.07  | | | | | End of split
% 240.53/47.07  | | | | | 
% 240.53/47.07  | | | | End of split
% 240.53/47.07  | | | | 
% 240.53/47.07  | | | Case 2:
% 240.53/47.07  | | | | 
% 240.53/47.07  | | | |   (215)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.53/47.07  | | | | 
% 240.53/47.07  | | | | ALPHA: (215) implies:
% 240.53/47.07  | | | |   (216)  op1(e10, e13) = e14
% 240.53/47.07  | | | | 
% 240.53/47.07  | | | | REF_CLOSE: (21), (25), (39), (216) are inconsistent by sub-proof #1274.
% 240.53/47.07  | | | | 
% 240.53/47.07  | | | End of split
% 240.53/47.07  | | | 
% 240.53/47.07  | | End of split
% 240.53/47.07  | | 
% 240.53/47.07  | End of split
% 240.53/47.07  | 
% 240.53/47.07  End of proof
% 240.53/47.07  
% 240.53/47.07  Sub-proof #47 shows that the following formulas are inconsistent:
% 240.53/47.07  ----------------------------------------------------------------
% 240.53/47.07    (1)   ~ (e14 = e10)
% 240.53/47.07    (2)  all_25_2 = e12
% 240.53/47.07    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.53/47.07           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.53/47.07           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.53/47.07    (4)  all_25_1 = e12
% 240.53/47.07    (5)  all_25_4 = e13
% 240.53/47.07    (6)   ~ (all_14_12 = e13)
% 240.53/47.07    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.53/47.07           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.53/47.07           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.53/47.07    (8)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.53/47.07             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.53/47.07           e10 & op1(e11, e10) = e10)
% 240.53/47.07    (9)   ~ (e12 = e11)
% 240.53/47.07    (10)   ~ (e14 = e11)
% 240.53/47.07    (11)  all_25_3 = e11
% 240.53/47.07    (12)  op1(e10, e13) = e13
% 240.53/47.07    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.53/47.07            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.53/47.07            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.53/47.07    (14)   ~ (e13 = e10)
% 240.53/47.07    (15)  op1(e11, e12) = all_14_13
% 240.53/47.07    (16)   ~ (e14 = e13)
% 240.53/47.07    (17)  all_25_13 = e14
% 240.53/47.07    (18)  all_25_11 = e12
% 240.53/47.07    (19)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.53/47.07            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.53/47.07            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.53/47.07    (20)   ~ (all_14_17 = e14)
% 240.53/47.07    (21)  op1(e13, unit1) = e13
% 240.53/47.07    (22)  op1(e14, e10) = e14
% 240.53/47.07    (23)  op1(e13, e11) = e14
% 240.53/47.07    (24)  all_25_21 = e13
% 240.53/47.07    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.53/47.07            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.53/47.07    (26)   ~ (e13 = e11)
% 240.53/47.07    (27)  op1(e13, e12) = e10
% 240.53/47.07    (28)  op1(e12, e11) = all_14_17
% 240.53/47.07    (29)   ~ (e11 = e10)
% 240.53/47.07    (30)   ~ (e13 = e12)
% 240.53/47.07    (31)  op1(e13, e13) = e11
% 240.53/47.07    (32)  all_25_7 = e10
% 240.53/47.07    (33)   ~ (all_14_13 = e13)
% 240.53/47.07    (34)   ~ (e12 = e10)
% 240.53/47.07    (35)  all_25_6 = e13
% 240.53/47.07    (36)   ~ (all_14_14 = e13)
% 240.53/47.07    (37)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.53/47.07            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.53/47.07            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.53/47.07    (38)  op1(e12, e12) = all_14_12
% 240.53/47.07    (39)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.53/47.07    (40)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.53/47.07            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.53/47.07            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.53/47.07    (41)  op1(e11, unit1) = e11
% 240.53/47.07    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.07            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.53/47.07            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.53/47.07    (43)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.07            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.53/47.07            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.53/47.07    (44)  op1(e10, e12) = all_14_14
% 240.53/47.07    (45)  op1(e13, e14) = e12
% 240.53/47.07    (46)   ~ (e14 = e12)
% 240.53/47.07    (47)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.53/47.07            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.53/47.07            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.53/47.07    (48)  all_25_17 = e13
% 240.53/47.07  
% 240.53/47.07  Begin of proof
% 240.53/47.07  | 
% 240.53/47.07  | BETA: splitting (8) gives:
% 240.53/47.07  | 
% 240.53/47.07  | Case 1:
% 240.53/47.07  | | 
% 240.53/47.07  | |   (49)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 &
% 240.53/47.07  | |           op1(e13, e10) = e10)
% 240.53/47.07  | | 
% 240.53/47.07  | | REF_CLOSE: (1), (2), (3), (10), (11), (14), (16), (22), (25), (26), (27),
% 240.53/47.07  | |            (30), (31), (42), (46), (49) are inconsistent by sub-proof #62.
% 240.53/47.07  | | 
% 240.53/47.07  | Case 2:
% 240.53/47.07  | | 
% 240.53/47.07  | |   (50)  (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 = e10 &
% 240.53/47.07  | |           op1(e11, e10) = e10)
% 240.53/47.07  | | 
% 240.53/47.07  | | BETA: splitting (50) gives:
% 240.53/47.07  | | 
% 240.53/47.07  | | Case 1:
% 240.53/47.07  | | | 
% 240.53/47.07  | | |   (51)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.53/47.07  | | | 
% 240.53/47.07  | | | ALPHA: (51) implies:
% 240.53/47.07  | | |   (52)  all_25_18 = e10
% 240.53/47.07  | | | 
% 240.53/47.07  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 240.53/47.07  | | |            (14), (15), (16), (17), (18), (19), (20), (24), (25), (26),
% 240.53/47.07  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 240.53/47.07  | | |            (37), (38), (40), (42), (43), (44), (46), (47), (48), (52) are
% 240.53/47.07  | | |            inconsistent by sub-proof #48.
% 240.53/47.07  | | | 
% 240.53/47.07  | | Case 2:
% 240.53/47.07  | | | 
% 240.53/47.07  | | |   (53)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.53/47.07  | | | 
% 240.53/47.07  | | | REF_CLOSE: (14), (16), (21), (23), (25), (27), (30), (39), (41), (45),
% 240.53/47.07  | | |            (53) are inconsistent by sub-proof #115.
% 240.53/47.07  | | | 
% 240.53/47.07  | | End of split
% 240.53/47.07  | | 
% 240.53/47.07  | End of split
% 240.53/47.07  | 
% 240.53/47.07  End of proof
% 240.53/47.07  
% 240.53/47.07  Sub-proof #48 shows that the following formulas are inconsistent:
% 240.53/47.07  ----------------------------------------------------------------
% 240.53/47.07    (1)   ~ (e14 = e10)
% 240.53/47.07    (2)  all_25_2 = e12
% 240.53/47.07    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.53/47.07           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.53/47.07           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.53/47.07    (4)  all_25_1 = e12
% 240.53/47.07    (5)  all_25_4 = e13
% 240.53/47.07    (6)   ~ (all_14_12 = e13)
% 240.53/47.07    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.53/47.07           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.53/47.07           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.53/47.07    (8)   ~ (e12 = e11)
% 240.53/47.07    (9)   ~ (e14 = e11)
% 240.53/47.07    (10)  all_25_3 = e11
% 240.53/47.07    (11)  op1(e10, e13) = e13
% 240.53/47.08    (12)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.53/47.08            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.53/47.08            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.53/47.08    (13)   ~ (e13 = e10)
% 240.53/47.08    (14)  op1(e11, e12) = all_14_13
% 240.53/47.08    (15)   ~ (e14 = e13)
% 240.53/47.08    (16)  all_25_13 = e14
% 240.53/47.08    (17)  all_25_11 = e12
% 240.53/47.08    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.53/47.08            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.53/47.08            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.53/47.08    (19)   ~ (all_14_17 = e14)
% 240.53/47.08    (20)  all_25_21 = e13
% 240.53/47.08    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.53/47.08            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.53/47.08    (22)   ~ (e13 = e11)
% 240.53/47.08    (23)  op1(e13, e12) = e10
% 240.53/47.08    (24)  op1(e12, e11) = all_14_17
% 240.53/47.08    (25)   ~ (e11 = e10)
% 240.53/47.08    (26)   ~ (e13 = e12)
% 240.53/47.08    (27)  op1(e13, e13) = e11
% 240.53/47.08    (28)  all_25_7 = e10
% 240.53/47.08    (29)   ~ (all_14_13 = e13)
% 240.53/47.08    (30)   ~ (e12 = e10)
% 240.53/47.08    (31)  all_25_18 = e10
% 240.53/47.08    (32)  all_25_6 = e13
% 240.53/47.08    (33)   ~ (all_14_14 = e13)
% 240.53/47.08    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.53/47.08            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.53/47.08            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.53/47.08    (35)  op1(e12, e12) = all_14_12
% 240.53/47.08    (36)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.53/47.08            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.53/47.08            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.53/47.08    (37)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.08            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.53/47.08            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.53/47.08    (38)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.08            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.53/47.08            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.53/47.08    (39)  op1(e10, e12) = all_14_14
% 240.53/47.08    (40)   ~ (e14 = e12)
% 240.53/47.08    (41)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.53/47.08            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.53/47.08            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.53/47.08    (42)  all_25_17 = e13
% 240.53/47.08  
% 240.53/47.08  Begin of proof
% 240.53/47.08  | 
% 240.53/47.08  | BETA: splitting (12) gives:
% 240.53/47.08  | 
% 240.53/47.08  | Case 1:
% 240.53/47.08  | | 
% 240.53/47.08  | |   (43)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12,
% 240.53/47.08  | |             e13) = e14)
% 240.53/47.08  | | 
% 240.53/47.08  | | REF_CLOSE: (1), (4), (9), (10), (11), (15), (16), (21), (28), (32), (38),
% 240.53/47.08  | |            (40), (43) are inconsistent by sub-proof #1173.
% 240.53/47.08  | | 
% 240.53/47.08  | Case 2:
% 240.53/47.08  | | 
% 240.53/47.08  | |   (44)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 & op1(e12,
% 240.53/47.08  | |             e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.53/47.08  | | 
% 240.53/47.08  | | BETA: splitting (44) gives:
% 240.53/47.08  | | 
% 240.53/47.08  | | Case 1:
% 240.53/47.08  | | | 
% 240.53/47.08  | | |   (45)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.53/47.08  | | | 
% 240.53/47.08  | | | ALPHA: (45) implies:
% 240.53/47.08  | | |   (46)  all_25_8 = e14
% 240.53/47.08  | | | 
% 240.53/47.08  | | | BETA: splitting (41) gives:
% 240.53/47.08  | | | 
% 240.53/47.08  | | | Case 1:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | |   (47)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 &
% 240.53/47.08  | | | |           op1(e12, e13) = e11)
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | BETA: splitting (47) gives:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | Case 1:
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | |   (48)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | REF_CLOSE: (5), (6), (13), (14), (18), (21), (22), (23), (29), (32),
% 240.53/47.08  | | | | |            (33), (35), (39), (48) are inconsistent by sub-proof #1164.
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | Case 2:
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | |   (49)  all_25_7 = e11 & op1(e12, e13) = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | REF_CLOSE: (25), (28), (49) are inconsistent by sub-proof #1014.
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | End of split
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | Case 2:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | |   (50)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 240.53/47.08  | | | |           op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | BETA: splitting (50) gives:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | Case 1:
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | |   (51)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | ALPHA: (51) implies:
% 240.53/47.08  | | | | |   (52)  all_25_8 = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | COMBINE_EQS: (46), (52) imply:
% 240.53/47.08  | | | | |   (53)  e14 = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | SIMP: (53) implies:
% 240.53/47.08  | | | | |   (54)  e14 = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | COMBINE_EQS: (16), (54) imply:
% 240.53/47.08  | | | | |   (55)  all_25_13 = e11
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 240.53/47.08  | | | | |            (13), (14), (15), (18), (20), (21), (22), (23), (25), (26),
% 240.53/47.08  | | | | |            (27), (29), (30), (33), (34), (35), (36), (37), (38), (39),
% 240.53/47.08  | | | | |            (40), (42), (55) are inconsistent by sub-proof #54.
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | Case 2:
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | |   (56)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 240.53/47.08  | | | | |           op1(e12, e10) = e11)
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | BETA: splitting (56) gives:
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | | Case 1:
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | |   (57)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | | REF_CLOSE: (8), (17), (57) are inconsistent by sub-proof #1149.
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | Case 2:
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | |   (58)  all_25_18 = e11 & op1(e12, e10) = e11
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | | REF_CLOSE: (25), (31), (58) are inconsistent by sub-proof #393.
% 240.53/47.08  | | | | | | 
% 240.53/47.08  | | | | | End of split
% 240.53/47.08  | | | | | 
% 240.53/47.08  | | | | End of split
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | End of split
% 240.53/47.08  | | | 
% 240.53/47.08  | | Case 2:
% 240.53/47.08  | | | 
% 240.53/47.08  | | |   (59)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 240.53/47.08  | | |           op1(e12, e10) = e14)
% 240.53/47.08  | | | 
% 240.53/47.08  | | | BETA: splitting (59) gives:
% 240.53/47.08  | | | 
% 240.53/47.08  | | | Case 1:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | |   (60)  all_25_11 = e14 & op1(e12, e11) = e14
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | REF_CLOSE: (19), (21), (24), (60) are inconsistent by sub-proof #1162.
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | Case 2:
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | |   (61)  all_25_18 = e14 & op1(e12, e10) = e14
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | ALPHA: (61) implies:
% 240.53/47.08  | | | |   (62)  all_25_18 = e14
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | COMBINE_EQS: (31), (62) imply:
% 240.53/47.08  | | | |   (63)  e14 = e10
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | REDUCE: (1), (63) imply:
% 240.53/47.08  | | | |   (64)  $false
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | | CLOSE: (64) is inconsistent.
% 240.53/47.08  | | | | 
% 240.53/47.08  | | | End of split
% 240.53/47.08  | | | 
% 240.53/47.08  | | End of split
% 240.53/47.08  | | 
% 240.53/47.08  | End of split
% 240.53/47.08  | 
% 240.53/47.08  End of proof
% 240.53/47.08  
% 240.53/47.08  Sub-proof #49 shows that the following formulas are inconsistent:
% 240.53/47.08  ----------------------------------------------------------------
% 240.53/47.08    (1)  op1(e12, e13) = all_14_7
% 240.53/47.08    (2)  all_25_2 = e12
% 240.53/47.08    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.53/47.08           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.53/47.08           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.53/47.08    (4)  op1(e14, unit1) = e14
% 240.53/47.08    (5)   ~ (all_14_8 = e12)
% 240.53/47.08    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.53/47.08           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.53/47.08           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.53/47.08    (7)   ~ (all_14_7 = e12)
% 240.53/47.08    (8)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.53/47.08             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.53/47.08           e10 & op1(e11, e10) = e10)
% 240.53/47.08    (9)   ~ (all_14_7 = e11)
% 240.53/47.08    (10)   ~ (e12 = e11)
% 240.53/47.08    (11)  all_25_3 = e11
% 240.53/47.08    (12)   ~ (all_14_7 = e13)
% 240.53/47.08    (13)  op1(e13, unit1) = e13
% 240.53/47.08    (14)  op1(e11, e13) = e14
% 240.53/47.08    (15)  op1(e13, e11) = e14
% 240.53/47.08    (16)  op1(e11, e13) = all_14_8
% 240.53/47.08    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.53/47.08            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.53/47.08    (18)   ~ (all_14_7 = all_14_8)
% 240.53/47.08    (19)   ~ (e13 = e11)
% 240.53/47.08    (20)  op1(e13, e12) = e10
% 240.53/47.08    (21)   ~ (all_14_8 = e13)
% 240.53/47.08    (22)  op1(e12, unit1) = e12
% 240.53/47.08    (23)   ~ (e13 = e12)
% 240.53/47.08    (24)  op1(e13, e13) = e11
% 240.53/47.08    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.53/47.08            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.53/47.08            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.53/47.08    (26)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.53/47.08    (27)  op1(e12, e13) = e10
% 240.53/47.08    (28)   ~ (all_14_8 = e11)
% 240.53/47.08    (29)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.53/47.08    (30)  op1(e11, unit1) = e11
% 240.53/47.08    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.08            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.53/47.08            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.53/47.08    (32)  op1(e13, e14) = e12
% 240.53/47.08  
% 240.53/47.08  Begin of proof
% 240.53/47.08  | 
% 240.53/47.08  | ALPHA: (26) implies:
% 240.53/47.08  |   (33)  all_25_19 = e12
% 240.53/47.08  |   (34)  op1(e11, e10) = e12
% 240.53/47.08  | 
% 240.53/47.08  | GROUND_INST: instantiating (17) with all_14_8, e14, e13, e11, simplifying with
% 240.53/47.08  |              (14), (16) gives:
% 240.53/47.08  |   (35)  all_14_8 = e14
% 240.53/47.08  | 
% 240.53/47.08  | GROUND_INST: instantiating (17) with all_14_7, e10, e13, e12, simplifying with
% 240.53/47.08  |              (1), (27) gives:
% 240.53/47.08  |   (36)  all_14_7 = e10
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (18), (35), (36) imply:
% 240.53/47.08  |   (37)   ~ (e14 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | SIMP: (37) implies:
% 240.53/47.08  |   (38)   ~ (e14 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (12), (36) imply:
% 240.53/47.08  |   (39)   ~ (e13 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | SIMP: (39) implies:
% 240.53/47.08  |   (40)   ~ (e13 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (7), (36) imply:
% 240.53/47.08  |   (41)   ~ (e12 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | SIMP: (41) implies:
% 240.53/47.08  |   (42)   ~ (e12 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (9), (36) imply:
% 240.53/47.08  |   (43)   ~ (e11 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | SIMP: (43) implies:
% 240.53/47.08  |   (44)   ~ (e11 = e10)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (21), (35) imply:
% 240.53/47.08  |   (45)   ~ (e14 = e13)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (5), (35) imply:
% 240.53/47.08  |   (46)   ~ (e14 = e12)
% 240.53/47.08  | 
% 240.53/47.08  | REDUCE: (28), (35) imply:
% 240.53/47.08  |   (47)   ~ (e14 = e11)
% 240.53/47.08  | 
% 240.53/47.08  | REF_CLOSE: (2), (3), (4), (6), (8), (10), (11), (13), (15), (17), (19), (20),
% 240.53/47.08  |            (22), (23), (24), (25), (29), (30), (31), (32), (33), (34), (38),
% 240.53/47.08  |            (40), (42), (44), (45), (46), (47) are inconsistent by sub-proof
% 240.53/47.08  |            #139.
% 240.53/47.08  | 
% 240.53/47.08  End of proof
% 240.53/47.08  
% 240.53/47.08  Sub-proof #50 shows that the following formulas are inconsistent:
% 240.53/47.08  ----------------------------------------------------------------
% 240.53/47.08    (1)   ~ (e14 = e10)
% 240.53/47.08    (2)  all_25_2 = e12
% 240.53/47.08    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.53/47.08           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.53/47.08           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.53/47.08    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.53/47.08           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.53/47.08           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.53/47.08    (5)   ~ (e12 = e11)
% 240.53/47.08    (6)   ~ (e14 = e11)
% 240.53/47.08    (7)   ~ (e13 = e10)
% 240.53/47.08    (8)   ~ (e14 = e13)
% 240.53/47.08    (9)  all_25_23 = e10 & op1(e10, e11) = e10
% 240.53/47.08    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.53/47.08            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.53/47.08    (11)   ~ (e13 = e11)
% 240.53/47.08    (12)  op1(e13, e12) = e10
% 240.53/47.08    (13)   ~ (e11 = e10)
% 240.53/47.08    (14)   ~ (e13 = e12)
% 240.53/47.08    (15)  op1(e13, e13) = e11
% 240.53/47.08    (16)   ~ (e12 = e10)
% 240.53/47.08    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.53/47.08            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.53/47.08            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.53/47.08    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.53/47.08            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.53/47.08            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.53/47.08    (19)   ~ (e14 = e12)
% 240.53/47.08    (20)  all_25_23 = e12
% 240.53/47.08  
% 240.53/47.08  Begin of proof
% 240.53/47.08  | 
% 240.53/47.08  | ALPHA: (9) implies:
% 240.53/47.08  |   (21)  all_25_23 = e10
% 240.53/47.08  | 
% 240.53/47.08  | COMBINE_EQS: (20), (21) imply:
% 240.53/47.08  |   (22)  e12 = e10
% 240.53/47.08  | 
% 240.53/47.08  | COMBINE_EQS: (2), (22) imply:
% 240.53/47.08  |   (23)  all_25_2 = e10
% 240.53/47.08  | 
% 240.53/47.08  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 240.53/47.08  |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 240.53/47.08  |            #1281.
% 240.53/47.08  | 
% 240.53/47.08  End of proof
% 240.53/47.08  
% 240.53/47.08  Sub-proof #51 shows that the following formulas are inconsistent:
% 240.53/47.08  ----------------------------------------------------------------
% 240.53/47.09    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 240.53/47.09             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 240.53/47.09           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.53/47.09    (2)  op1(e11, e10) = all_14_23
% 240.53/47.09    (3)  op1(e12, e13) = all_14_7
% 240.53/47.09    (4)  all_25_2 = e12
% 240.53/47.09    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.53/47.09           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.53/47.09           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.58/47.09    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 240.58/47.09           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.58/47.09           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.58/47.09    (7)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 240.58/47.09           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.58/47.09             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 240.58/47.09           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 240.58/47.09           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 240.58/47.09           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 240.58/47.09           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 240.58/47.09           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 240.58/47.09             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 240.58/47.09           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 240.58/47.09           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 240.58/47.09             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 240.58/47.09           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.58/47.09           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 240.58/47.09           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.58/47.09           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 240.58/47.09           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 240.58/47.09           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.58/47.09           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 240.58/47.09           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 240.58/47.09           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 240.58/47.09           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 240.58/47.09           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.58/47.09             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 240.58/47.09           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 240.58/47.09             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 240.58/47.09           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 240.58/47.09           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 240.58/47.09           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 240.58/47.09           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.58/47.09             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 240.58/47.09           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 240.58/47.09             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 240.58/47.09           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 240.58/47.09             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 240.58/47.09         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 240.58/47.09           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.58/47.09             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 240.58/47.09           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 240.58/47.09             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 240.58/47.09           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 240.58/47.09           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 240.58/47.09           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 240.58/47.09           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.58/47.09             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 240.58/47.09           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 240.58/47.09             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 240.58/47.09           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 240.58/47.09             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.58/47.09         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 240.58/47.09           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.58/47.09             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 240.58/47.09           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 240.58/47.09             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 240.58/47.09           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 240.58/47.09           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 240.58/47.09           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 240.58/47.09           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.58/47.09             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 240.58/47.09           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 240.58/47.09             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 240.58/47.09           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 240.58/47.09             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.58/47.09         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 240.58/47.09           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.58/47.09             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 240.58/47.09           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 240.58/47.09             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 240.58/47.09           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 240.58/47.09             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.58/47.09    (8)  all_25_15 = e12
% 240.58/47.09    (9)  all_25_1 = e12
% 240.58/47.09    (10)  op1(e14, unit1) = e14
% 240.58/47.09    (11)  all_25_4 = e13
% 240.58/47.09    (12)  op1(e14, e14) = all_14_0
% 240.58/47.09    (13)   ~ (all_14_12 = e13)
% 240.58/47.09    (14)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 240.58/47.09              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 240.58/47.09            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 240.58/47.09    (15)   ~ (all_14_15 = e13)
% 240.58/47.09    (16)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.58/47.09            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.58/47.09            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.58/47.09    (17)   ~ (all_14_7 = e12)
% 240.58/47.09    (18)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.58/47.09              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.58/47.09            e10 & op1(e11, e10) = e10)
% 240.58/47.09    (19)   ~ (e12 = e11)
% 240.58/47.09    (20)   ~ (all_14_0 = e12)
% 240.58/47.09    (21)   ~ (e14 = e11)
% 240.58/47.09    (22)  all_25_3 = e11
% 240.58/47.09    (23)  op1(e12, e11) = e13
% 240.58/47.09    (24)  op1(e10, e13) = e13
% 240.58/47.09    (25)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.58/47.09            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.58/47.09            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.58/47.09    (26)   ~ (e13 = e10)
% 240.58/47.09    (27)  op1(e11, e12) = all_14_13
% 240.58/47.09    (28)   ~ (e14 = e13)
% 240.58/47.09    (29)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.58/47.09            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.58/47.09            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.58/47.09    (30)   ~ (all_14_15 = e12)
% 240.58/47.09    (31)   ~ (all_14_17 = e14)
% 240.58/47.09    (32)   ~ (all_14_15 = all_14_19)
% 240.58/47.09    (33)  all_25_11 = e13
% 240.58/47.09    (34)   ~ (all_14_19 = e12)
% 240.58/47.09    (35)  op1(e14, e11) = all_14_15
% 240.58/47.09    (36)  op1(e13, unit1) = e13
% 240.58/47.09    (37)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.58/47.09            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.58/47.09            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.58/47.09    (38)  op1(e13, e11) = e14
% 240.58/47.09    (39)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.58/47.09              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.58/47.09            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.58/47.09    (40)   ~ (all_14_23 = e13)
% 240.58/47.09    (41)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 240.58/47.09              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 240.58/47.09            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.58/47.09    (42)   ~ (all_14_0 = all_14_15)
% 240.58/47.09    (43)  all_25_21 = e13
% 240.58/47.09    (44)   ~ (all_14_14 = all_14_19)
% 240.58/47.09    (45)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.58/47.09            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.58/47.09    (46)  op1(e12, e10) = all_14_22
% 240.58/47.09    (47)   ~ (e13 = e11)
% 240.58/47.09    (48)  op1(unit1, e11) = e11
% 240.58/47.09    (49)  op1(e13, e12) = e10
% 240.58/47.09    (50)   ~ (all_14_2 = e12)
% 240.58/47.09    (51)  all_25_12 = e13
% 240.58/47.09    (52)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 240.58/47.09              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 240.58/47.09            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.58/47.09    (53)   ~ (all_14_0 = all_14_20)
% 240.58/47.09    (54)  op1(e12, e11) = all_14_17
% 240.58/47.09    (55)   ~ (all_14_18 = e14)
% 240.58/47.09    (56)  op1(e12, unit1) = e12
% 240.58/47.09    (57)   ~ (e11 = e10)
% 240.58/47.09    (58)   ~ (all_14_13 = e10)
% 240.58/47.09    (59)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.58/47.09            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.58/47.09            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.58/47.09    (60)   ~ (all_14_20 = all_14_24)
% 240.58/47.09    (61)  op1(e12, e14) = all_14_2
% 240.58/47.09    (62)  op1(e10, e11) = e10
% 240.58/47.09    (63)   ~ (e13 = e12)
% 240.58/47.09    (64)  op1(e13, e13) = e11
% 240.58/47.09    (65)  all_25_23 = e10
% 240.58/47.09    (66)   ~ (all_14_19 = all_14_24)
% 240.58/47.09    (67)   ~ (all_14_20 = e13)
% 240.58/47.09    (68)   ~ (all_14_24 = e13)
% 240.58/47.09    (69)   ~ (all_14_13 = e13)
% 240.58/47.09    (70)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.58/47.09              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.58/47.09            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.58/47.09    (71)  all_25_10 = e14
% 240.58/47.09    (72)   ~ (all_14_19 = e14)
% 240.58/47.09    (73)   ~ (all_14_15 = all_14_20)
% 240.58/47.09    (74)   ~ (all_14_14 = e13)
% 240.58/47.09    (75)  op1(e14, e12) = e13
% 240.58/47.09    (76)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.58/47.09            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.58/47.09            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.58/47.09    (77)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.58/47.09            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.58/47.09            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.58/47.09    (78)  op1(e10, e10) = all_14_24
% 240.58/47.09    (79)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.58/47.09              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.58/47.09            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.58/47.09    (80)   ~ (all_14_15 = e14)
% 240.58/47.09    (81)   ~ (all_14_19 = e13)
% 240.58/47.09    (82)  op1(e14, e10) = all_14_20
% 240.58/47.09    (83)   ~ (all_14_20 = e12)
% 240.58/47.09    (84)   ~ (all_14_2 = all_14_12)
% 240.58/47.09    (85)  op1(e12, e12) = all_14_12
% 240.58/47.09    (86)  op1(e13, e10) = e13
% 240.58/47.09    (87)  op1(e10, unit1) = e10
% 240.58/47.09    (88)   ~ (all_14_12 = e10)
% 240.58/47.09    (89)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.58/47.09    (90)   ~ (all_14_0 = e13)
% 240.58/47.09    (91)  op1(unit1, e14) = e14
% 240.58/47.09    (92)  op1(e11, e11) = all_14_18
% 240.58/47.10    (93)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.58/47.10            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.58/47.10            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.58/47.10    (94)  op1(e11, unit1) = e11
% 240.58/47.10    (95)  op1(unit1, e12) = e12
% 240.58/47.10    (96)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.58/47.10            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.58/47.10            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.58/47.10    (97)  op1(e10, e11) = all_14_19
% 240.58/47.10    (98)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.58/47.10            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.58/47.10            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.58/47.10    (99)  op1(e11, e14) = e13
% 240.58/47.10    (100)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 240.58/47.10               e12) = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 =
% 240.58/47.10             e14 & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.58/47.10    (101)  op1(e10, e12) = all_14_14
% 240.58/47.10    (102)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.58/47.10               e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19
% 240.58/47.10             = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 240.58/47.10             e12)
% 240.58/47.10    (103)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 240.58/47.10               e13) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 =
% 240.58/47.10             e10 & op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.58/47.10    (104)  op1(e13, e14) = e12
% 240.58/47.10    (105)   ~ (all_14_22 = e13)
% 240.58/47.10    (106)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 240.58/47.10               e13) = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 =
% 240.58/47.10             e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.58/47.10    (107)   ~ (e14 = e12)
% 240.58/47.10    (108)   ~ (all_14_18 = e13)
% 240.58/47.10    (109)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 240.58/47.10               e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 =
% 240.58/47.10             e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.58/47.10    (110)  op1(e14, e13) = e12
% 240.58/47.10    (111)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 240.58/47.10               e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 240.58/47.10             e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.58/47.10    (112)  all_25_17 = e13
% 240.58/47.10  
% 240.58/47.10  Begin of proof
% 240.58/47.10  | 
% 240.58/47.10  | BETA: splitting (6) gives:
% 240.58/47.10  | 
% 240.58/47.10  | Case 1:
% 240.58/47.10  | | 
% 240.58/47.10  | |   (113)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 &
% 240.58/47.10  | |            op1(e13, e11) = e11)
% 240.58/47.10  | | 
% 240.58/47.10  | | BETA: splitting (113) gives:
% 240.58/47.10  | | 
% 240.58/47.10  | | Case 1:
% 240.58/47.10  | | | 
% 240.58/47.10  | | |   (114)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.58/47.10  | | | 
% 240.58/47.10  | | | ALPHA: (114) implies:
% 240.58/47.10  | | |   (115)  all_25_9 = e11
% 240.58/47.10  | | |   (116)  op1(e14, e11) = e11
% 240.58/47.10  | | | 
% 240.58/47.10  | | | GROUND_INST: instantiating (45) with all_14_19, e10, e11, e10, simplifying
% 240.58/47.10  | | |              with (62), (97) gives:
% 240.58/47.10  | | |   (117)  all_14_19 = e10
% 240.58/47.10  | | | 
% 240.58/47.10  | | | GROUND_INST: instantiating (45) with all_14_15, e11, e11, e14, simplifying
% 240.58/47.10  | | |              with (35), (116) gives:
% 240.58/47.10  | | |   (118)  all_14_15 = e11
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (42), (118) imply:
% 240.58/47.10  | | |   (119)   ~ (all_14_0 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (44), (117) imply:
% 240.58/47.10  | | |   (120)   ~ (all_14_14 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (73), (118) imply:
% 240.58/47.10  | | |   (121)   ~ (all_14_20 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | SIMP: (121) implies:
% 240.58/47.10  | | |   (122)   ~ (all_14_20 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (80), (118) imply:
% 240.58/47.10  | | |   (123)   ~ (e14 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (15), (118) imply:
% 240.58/47.10  | | |   (124)   ~ (e13 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (30), (118) imply:
% 240.58/47.10  | | |   (125)   ~ (e12 = e11)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (66), (117) imply:
% 240.58/47.10  | | |   (126)   ~ (all_14_24 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | SIMP: (126) implies:
% 240.58/47.10  | | |   (127)   ~ (all_14_24 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (72), (117) imply:
% 240.58/47.10  | | |   (128)   ~ (e14 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | SIMP: (128) implies:
% 240.58/47.10  | | |   (129)   ~ (e14 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (81), (117) imply:
% 240.58/47.10  | | |   (130)   ~ (e13 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | REDUCE: (34), (117) imply:
% 240.58/47.10  | | |   (131)   ~ (e12 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | SIMP: (131) implies:
% 240.58/47.10  | | |   (132)   ~ (e12 = e10)
% 240.58/47.10  | | | 
% 240.58/47.10  | | | BETA: splitting (109) gives:
% 240.58/47.10  | | | 
% 240.58/47.10  | | | Case 1:
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | |   (133)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 &
% 240.58/47.10  | | | |            op1(e12, e13) = e12)
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | | REF_CLOSE: (3), (17), (45), (50), (61), (133) are inconsistent by
% 240.58/47.10  | | | |            sub-proof #64.
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | Case 2:
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | |   (134)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.58/47.10  | | | |            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) =
% 240.58/47.10  | | | |            e12)
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | | BETA: splitting (134) gives:
% 240.58/47.10  | | | | 
% 240.58/47.10  | | | | Case 1:
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | |   (135)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | | ALPHA: (135) implies:
% 240.58/47.10  | | | | |   (136)  all_25_8 = e12
% 240.58/47.10  | | | | |   (137)  op1(e12, e12) = e12
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | | GROUND_INST: instantiating (45) with all_14_12, e12, e12, e12,
% 240.58/47.10  | | | | |              simplifying with (85), (137) gives:
% 240.58/47.10  | | | | |   (138)  all_14_12 = e12
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | | REDUCE: (13), (138) imply:
% 240.58/47.10  | | | | |   (139)   ~ (e13 = e12)
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | | BETA: splitting (102) gives:
% 240.58/47.10  | | | | | 
% 240.58/47.10  | | | | | Case 1:
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | |   (140)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12
% 240.58/47.10  | | | | | |            & op1(e13, e10) = e12)
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | | REF_CLOSE: (45), (63), (82), (83), (86), (140) are inconsistent by
% 240.58/47.10  | | | | | |            sub-proof #145.
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | Case 2:
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | |   (141)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12
% 240.58/47.10  | | | | | |            & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10)
% 240.58/47.10  | | | | | |            = e12)
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | | BETA: splitting (141) gives:
% 240.58/47.10  | | | | | | 
% 240.58/47.10  | | | | | | Case 1:
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | |   (142)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | | ALPHA: (142) implies:
% 240.58/47.10  | | | | | | |   (143)  all_25_18 = e12
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | | REF_CLOSE: (4), (5), (9), (10), (11), (13), (16), (18), (19),
% 240.58/47.10  | | | | | | |            (21), (22), (26), (27), (28), (29), (35), (36), (37),
% 240.58/47.10  | | | | | | |            (38), (45), (47), (49), (57), (63), (64), (69), (74),
% 240.58/47.10  | | | | | | |            (77), (80), (85), (89), (94), (96), (101), (104),
% 240.58/47.10  | | | | | | |            (106), (107), (112), (115), (129), (132), (143) are
% 240.58/47.10  | | | | | | |            inconsistent by sub-proof #59.
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | Case 2:
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | |   (144)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 =
% 240.58/47.10  | | | | | | |            e12 & op1(e10, e10) = e12)
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | | BETA: splitting (144) gives:
% 240.58/47.10  | | | | | | | 
% 240.58/47.10  | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | |   (145)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | ALPHA: (145) implies:
% 240.58/47.10  | | | | | | | |   (146)  all_25_19 = e12
% 240.58/47.10  | | | | | | | |   (147)  op1(e11, e10) = e12
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | REF_CLOSE: (4), (5), (10), (16), (18), (19), (21), (22), (26),
% 240.58/47.10  | | | | | | | |            (28), (36), (38), (45), (47), (49), (56), (57), (63),
% 240.58/47.10  | | | | | | | |            (64), (77), (89), (94), (96), (104), (107), (129),
% 240.58/47.10  | | | | | | | |            (132), (146), (147) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | |            #139.
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | |   (148)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | ALPHA: (148) implies:
% 240.58/47.10  | | | | | | | |   (149)  all_25_24 = e12
% 240.58/47.10  | | | | | | | |   (150)  op1(e10, e10) = e12
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | GROUND_INST: instantiating (45) with all_14_24, e12, e10, e10,
% 240.58/47.10  | | | | | | | |              simplifying with (78), (150) gives:
% 240.58/47.10  | | | | | | | |   (151)  all_14_24 = e12
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | BETA: splitting (37) gives:
% 240.58/47.10  | | | | | | | | 
% 240.58/47.10  | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | 
% 240.58/47.10  | | | | | | | | |   (152)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 =
% 240.58/47.10  | | | | | | | | |            e10 & op1(e14, e13) = e10)
% 240.58/47.10  | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | BETA: splitting (152) gives:
% 240.58/47.10  | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | |   (153)  all_25_0 = e10 & op1(e14, e14) = e10
% 240.58/47.10  | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | ALPHA: (153) implies:
% 240.58/47.10  | | | | | | | | | |   (154)  all_25_0 = e10
% 240.58/47.10  | | | | | | | | | |   (155)  op1(e14, e14) = e10
% 240.58/47.10  | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | BETA: splitting (106) gives:
% 240.58/47.10  | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | |   (156)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 240.58/47.10  | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | BETA: splitting (156) gives:
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | |   (157)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | REF_CLOSE: (129), (154), (157) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | |            #1220.
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | |   (158)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | REF_CLOSE: (9), (107), (158) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | |            #1292.
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | End of split
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | |   (159)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 240.58/47.10  | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 240.58/47.10  | | | | | | | | | | |            & op1(e14, e10) = e14)
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | BETA: splitting (159) gives:
% 240.58/47.10  | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | |   (160)  all_25_4 = e14 & op1(e14, e12) = e14
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | REF_CLOSE: (11), (28), (160) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | |            #1236.
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | |   (161)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 240.58/47.10  | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | BETA: splitting (161) gives:
% 240.58/47.10  | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | |   (162)  all_25_9 = e14 & op1(e14, e11) = e14
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | REF_CLOSE: (35), (45), (80), (162) are inconsistent by
% 240.58/47.10  | | | | | | | | | | | | |            sub-proof #1340.
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | |   (163)  all_25_16 = e14 & op1(e14, e10) = e14
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | ALPHA: (163) implies:
% 240.58/47.10  | | | | | | | | | | | | |   (164)  all_25_16 = e14
% 240.58/47.10  | | | | | | | | | | | | |   (165)  op1(e14, e10) = e14
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_14_20, e14, e10, e14,
% 240.58/47.10  | | | | | | | | | | | | |              simplifying with (82), (165) gives:
% 240.58/47.10  | | | | | | | | | | | | |   (166)  all_14_20 = e14
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_14_0, e10, e14, e14,
% 240.58/47.10  | | | | | | | | | | | | |              simplifying with (12), (155) gives:
% 240.58/47.10  | | | | | | | | | | | | |   (167)  all_14_0 = e10
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | REDUCE: (119), (167) imply:
% 240.58/47.10  | | | | | | | | | | | | |   (168)   ~ (e11 = e10)
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | BETA: splitting (76) gives:
% 240.58/47.10  | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | |   (169)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 240.58/47.10  | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | |   (170)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | REF_CLOSE: (57), (154), (170) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | | | | |            #1222.
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | |   (171)  all_25_2 = e11 & op1(e13, e14) = e11
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | REF_CLOSE: (4), (19), (171) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | | | | |            #1189.
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | End of split
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | |   (172)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 240.58/47.10  | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.58/47.10  | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 240.58/47.10  | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | |   (173)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 240.58/47.10  | | | | | | | | | | | | | | |   (174)  all_25_6 = e11
% 240.58/47.10  | | | | | | | | | | | | | | |   (175)  op1(e12, e14) = e11
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 240.58/47.10  | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | |   (176)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 240.58/47.10  | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (177)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (154), (177) are inconsistent by sub-proof
% 240.58/47.10  | | | | | | | | | | | | | | | | |            #1220.
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (178)  all_25_2 = e14 & op1(e13, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (26), (28), (38), (45), (47), (49),
% 240.58/47.10  | | | | | | | | | | | | | | | | |            (63), (64), (77), (107), (132), (178) are
% 240.58/47.10  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | End of split
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | |   (179)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 240.58/47.10  | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.58/47.10  | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 240.58/47.10  | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (180)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (181)  all_25_6 = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (181) imply:
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (182)  e14 = e11
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (182) imply:
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (183)  all_25_16 = e11
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (21), (28), (35), (45), (80), (106),
% 240.58/47.10  | | | | | | | | | | | | | | | | |            (107), (129), (154), (183) are inconsistent by
% 240.58/47.10  | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | |   (184)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 240.58/47.10  | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 240.58/47.10  | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.10  | | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | |   (185)  all_25_12 = e14 & op1(e11, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (16), (19), (21), (22), (24),
% 240.58/47.10  | | | | | | | | | | | | | | | | | |            (26), (27), (28), (40), (43), (45), (47), (49),
% 240.58/47.10  | | | | | | | | | | | | | | | | | |            (57), (63), (64), (69), (70), (77), (92), (93),
% 240.58/47.10  | | | | | | | | | | | | | | | | | |            (96), (98), (107), (108), (112), (129), (132),
% 240.58/47.10  | | | | | | | | | | | | | | | | | |            (185) are inconsistent by sub-proof #931.
% 240.58/47.10  | | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.10  | | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | |   (186)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.58/47.10  | | | | | | | | | | | | | | | | | | 
% 240.58/47.10  | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | |   (187)  all_25_20 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | |   (188)  op1(e10, e14) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |   (189)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (10), (11), (13), (16), (18), (19),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (28), (29), (35),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (36), (38), (39), (43), (45), (47), (49), (56),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (57), (63), (64), (69), (72), (74), (77), (79),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (85), (86), (89), (91), (94),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (95), (96), (97), (101), (102), (104), (106),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            (107), (112), (129), (132), (154), (164), (189)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #57.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |   (190)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | |   (191)  all_25_22 = e11 & op1(e10, e12) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | |   (192)  op1(e10, e12) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | |   (193)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_25_4 = e14 & op1(e14, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_25_4 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (195) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (196)  e14 = e13
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (197)  e14 = e13
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (197) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (198)  all_25_20 = e13
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (16), (19), (21), (22), (24),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            (26), (27), (28), (38), (40), (43), (45), (47),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            (49), (57), (59), (63), (64), (69), (70), (77),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (96), (98), (107), (108), (112),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (154), (174), (198) are inconsistent
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #236.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (199)  all_25_5 = e14 & op1(e13, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (200)  op1(e13, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (49), (129), (200) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | |   (201)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (202)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (203)  all_25_8 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (203) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (204)  e14 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | SIMP: (204) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (205)  e14 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (205) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (206)  all_25_20 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (63), (82), (83), (86), (207) are
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_25_18 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |   (210)  op1(e12, e10) = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (16), (19), (21), (22), (25), (26),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (31), (33), (45), (47), (49), (54), (57),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (77), (96), (103), (107), (112),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (136), (173), (209) are inconsistent
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #414.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_25_7 = e11 & op1(e12, e13) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_25_7 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (16), (19), (21), (26), (28), (45),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (49), (57), (63), (64), (77), (96), (107),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (214) are inconsistent by sub-proof
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1279.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_25_7 = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (217) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  e11 = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (218) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  $false
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_25_13 = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21), (22), (24), (28), (45), (98), (107),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (213), (222) are inconsistent by sub-proof
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #935.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11), (13), (21), (22), (26), (27),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (43), (45), (47), (49), (63), (64),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (74), (85), (96), (101), (107), (112),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (223) are inconsistent by sub-proof #1192.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_25_8 = e11 & op1(e12, e12) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (136), (225) are inconsistent by sub-proof
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1079.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (26), (27), (29), (33), (45), (47),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (69), (74), (85), (101), (227) are
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1018.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_25_18 = e11 & op1(e12, e10) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  op1(e12, e10) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (45), (210), (229) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #926.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_25_19 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  op1(e11, e10) = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10), (16), (18), (19), (21), (22),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (26), (28), (36), (38), (45), (47), (49), (56),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (63), (64), (77), (89), (94), (96), (104),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (129), (132), (231), (232) are inconsistent
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #139.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (28), (45), (107), (206), (233) are
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #417.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (13), (19), (21), (26), (27), (28),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (36), (38), (43), (45), (47), (49), (57),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (65), (69), (74), (85), (89), (91), (95),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (104), (149), (235) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10), (16), (18), (19), (21), (22),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (26), (28), (36), (38), (39), (45), (47), (49),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (56), (57), (63), (64), (72), (77), (82), (83),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (89), (94), (96), (97), (102), (104), (107),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (129), (132), (236) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_25_14 = e14 & op1(e11, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_25_14 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | |   (240)  op1(e11, e12) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_25_12 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (16), (19), (21), (22), (24),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (26), (27), (28), (40), (43), (45), (47), (49),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (63), (64), (69), (70), (77), (92), (93),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (98), (107), (108), (112), (129), (132),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (243) are inconsistent by sub-proof #949.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_25_13 = e11 & op1(e11, e13) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_25_13 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (11), (13), (16), (19), (21), (22),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (26), (27), (28), (29), (43), (45), (47),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (57), (63), (64), (69), (74), (77), (85),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (96), (98), (101), (107), (112), (129),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (132), (245) are inconsistent by sub-proof #54.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_25_14 = e11 & op1(e11, e12) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_25_14 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (248) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  e14 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (249) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_25_16 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (21), (28), (35), (45), (80), (106),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (129), (154), (250) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19), (252) are inconsistent by sub-proof
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_25_19 = e11 & op1(e11, e10) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_25_19 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  op1(e11, e10) = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11), (13), (21), (22), (26), (27),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (45), (47), (49), (51), (63), (64),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (74), (85), (96), (101), (107), (112),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (257) are inconsistent by sub-proof #1021.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_25_13 = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  op1(e11, e13) = e10
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_25_1 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (263) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  e14 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (264) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  e14 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (265) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_25_14 = e12
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (14), (16), (19), (21), (22),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (26), (27), (28), (38), (40), (43), (45),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (49), (55), (57), (59), (63), (64), (69),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (76), (77), (92), (93), (96), (98), (107),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (112), (129), (132), (154), (174), (187),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254), (259), (266) are inconsistent by sub-proof
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #81.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_25_3 = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (268) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e14 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  e14 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (270) imply:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_25_16 = e11
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (21), (28), (35), (45), (80), (106),
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (129), (154), (271) are inconsistent by
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op1(e12, e13) = e14
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 240.58/47.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (49), (75), (104), (110), (129), (277) are
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #999.
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  op1(e14, e11) = all_23_33
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op1(all_23_33, e11) = e14
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e11, all_23_33, e11, e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (116), (280) gives:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_23_33 = e11
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (282) imply:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  op1(e11, e11) = e14
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (55), (92), (283) are inconsistent by
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (104), (110), (165), (188), (284) are
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.58/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (35), (38), (45), (49), (74), (101), (286)
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #996.
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)   ~ (all_23_50 = all_23_51)
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  op1(e10, e13) = all_23_50
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  op1(e13, e10) = all_23_51
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (45), (86), (289), (290), (291) are
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  op1(e12, e14) = all_23_20
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  op1(all_23_20, e14) = e12
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e11, all_23_20, e14, e12,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (175), (294) gives:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_23_20 = e11
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (296) imply:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  op1(e11, e14) = e12
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e13, e12, e14, e11,
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (99), (297) gives:
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  e13 = e12
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (298) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  $false
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)   ~ (all_23_22 = e13)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  op1(e12, e13) = all_23_24
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  op1(all_23_24, e12) = all_23_22
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (75), (274), (301), (302), (303) are
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #995.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (38), (45), (107), (307) are inconsistent by
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #994.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (308) implies:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)   ~ (all_23_54 = all_23_55)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  op1(e10, e12) = all_23_54
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  op1(e12, e10) = all_23_55
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  unit1 = e14
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (312) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op1(e12, e14) = e12
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (50), (61), (313) are inconsistent by
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #73.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  unit1 = e12
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (315) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op1(e10, e12) = e10
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (101), (120), (316) are inconsistent by
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #65.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  unit1 = e11 | unit1 = e10
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  unit1 = e11
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (318) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  op1(e13, e11) = e13
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (38), (45), (319) are inconsistent by
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1333.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  unit1 = e10
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (56), (95), (309), (310), (311), (320) are
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #53.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  op1(e11, e14) = all_23_32
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  op1(all_23_32, e14) = e11
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (45), (99), (104), (323), (324) are
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #992.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (45), (47), (260), (326) are inconsistent by
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #991.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  op1(e11, e12) = all_23_40
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  op1(all_23_40, e12) = e11
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e14, all_23_40, e12, e11,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (240), (328) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_23_40 = e14
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (330) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  op1(e14, e12) = e11
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e13, e11, e12, e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (75), (331) gives:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  e13 = e11
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (332) imply:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  $false
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (333) is inconsistent.
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)   ~ (all_23_58 = all_23_59)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  op1(e10, e11) = all_23_58
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  op1(e11, e10) = all_23_59
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (28), (36), (38), (45), (48), (49), (63),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (94), (104), (337), (338), (339) are
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)   ~ (all_23_46 = all_23_47)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  op1(e10, e14) = all_23_46
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  op1(e14, e10) = all_23_47
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (165), (188), (341), (342), (343) are
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1059.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_23_50 = all_23_51)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  op1(e10, e13) = all_23_50
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  op1(e13, e10) = all_23_51
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (45), (86), (346), (347), (348) are
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  op1(e10, e12) = all_23_54
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  op1(all_23_54, e12) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e11, all_23_54, e12, e10,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (192), (351) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_23_54 = e11
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (353) imply:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  op1(e11, e12) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (45), (58), (354) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)   ~ (all_23_58 = all_23_59)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  op1(e10, e11) = all_23_58
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  op1(e11, e10) = all_23_59
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (28), (36), (38), (45), (48), (49), (63),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (94), (104), (356), (357), (358) are
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_25_13 = e14 & op1(e11, e13) = e14
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_25_13 = e14
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11), (13), (21), (22), (26), (27),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (45), (47), (49), (51), (63), (64),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (74), (85), (96), (101), (107), (112),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (362) are inconsistent by sub-proof #1021.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (258), (361) are inconsistent by sub-proof
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1159.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (16), (19), (21), (26), (27), (28),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (38), (45), (47), (49), (57), (58), (63),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (77), (89), (94), (96), (104), (107), (129),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (132), (363) are inconsistent by sub-proof #114.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  op1(e10, e13) = e14
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (28), (45), (365) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_25_14 = e10 & op1(e11, e12) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  op1(e11, e12) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (45), (58), (368) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (16), (19), (21), (26), (28), (45),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (49), (57), (63), (64), (77), (96), (107),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (132), (370) are inconsistent by sub-proof
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #146.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (57), (255), (371) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #113.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (13), (19), (21), (26), (27), (28),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | |            (29), (36), (38), (43), (45), (47), (49), (57),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | |            (63), (65), (69), (74), (85), (89), (91), (95),
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | |            (101), (104), (149), (372) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | |   (373)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (57), (65), (149), (373) are inconsistent by
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | |            sub-proof #56.
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | |   (374)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 240.67/47.14  | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.67/47.14  | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 240.67/47.14  | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | |   (375)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 240.67/47.14  | | | | | | | | | | | | | | | |   (376)  all_25_12 = e11
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (16), (19), (21), (22), (24),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (26), (27), (28), (40), (43), (45), (47), (49),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (57), (63), (64), (69), (70), (77), (92), (93),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (96), (98), (107), (108), (112), (129), (132),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (376) are inconsistent by sub-proof #949.
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | |   (377)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (10), (11), (16), (18), (19), (21),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (22), (24), (26), (28), (35), (36), (38), (39),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (45), (47), (49), (56), (57), (63), (64), (72),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (77), (79), (80), (82), (83), (86), (89), (91),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (94), (95), (96), (97), (102), (104), (106),
% 240.67/47.14  | | | | | | | | | | | | | | | |            (107), (112), (129), (132), (154), (164), (377)
% 240.67/47.14  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 240.67/47.14  | | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | |   (378)  all_25_1 = e10 & op1(e14, e13) = e10
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | REF_CLOSE: (4), (5), (9), (16), (19), (21), (26), (28), (45),
% 240.67/47.14  | | | | | | | | | |            (47), (49), (57), (63), (64), (77), (96), (107),
% 240.67/47.14  | | | | | | | | | |            (129), (132), (378) are inconsistent by sub-proof
% 240.67/47.14  | | | | | | | | | |            #1280.
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | 
% 240.67/47.14  | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | 
% 240.67/47.14  | | | | | | | | |   (379)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 =
% 240.67/47.14  | | | | | | | | |            e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 240.67/47.14  | | | | | | | | |            op1(e14, e10) = e10)
% 240.67/47.14  | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | BETA: splitting (379) gives:
% 240.67/47.14  | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | |   (380)  all_25_4 = e10 & op1(e14, e12) = e10
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | ALPHA: (380) implies:
% 240.67/47.14  | | | | | | | | | |   (381)  all_25_4 = e10
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | REF_CLOSE: (4), (5), (13), (21), (22), (26), (27), (28),
% 240.67/47.14  | | | | | | | | | |            (29), (45), (47), (49), (63), (64), (69), (74),
% 240.67/47.14  | | | | | | | | | |            (85), (96), (101), (107), (112), (129), (381) are
% 240.67/47.14  | | | | | | | | | |            inconsistent by sub-proof #1242.
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | |   (382)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16
% 240.67/47.14  | | | | | | | | | |            = e10 & op1(e14, e10) = e10)
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | BETA: splitting (382) gives:
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | Case 1:
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | |   (383)  all_25_9 = e10 & op1(e14, e11) = e10
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | ALPHA: (383) implies:
% 240.67/47.14  | | | | | | | | | | |   (384)  all_25_9 = e10
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | REF_CLOSE: (57), (115), (384) are inconsistent by sub-proof
% 240.67/47.14  | | | | | | | | | | |            #1238.
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | Case 2:
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | |   (385)  all_25_16 = e10 & op1(e14, e10) = e10
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | ALPHA: (385) implies:
% 240.67/47.14  | | | | | | | | | | |   (386)  op1(e14, e10) = e10
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | | REF_CLOSE: (10), (26), (28), (36), (38), (45), (49), (63),
% 240.67/47.14  | | | | | | | | | | |            (89), (104), (386) are inconsistent by sub-proof
% 240.67/47.14  | | | | | | | | | | |            #142.
% 240.67/47.14  | | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | | 
% 240.67/47.14  | | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | | 
% 240.67/47.14  | | | | | | | | End of split
% 240.67/47.14  | | | | | | | | 
% 240.67/47.14  | | | | | | | End of split
% 240.67/47.14  | | | | | | | 
% 240.67/47.14  | | | | | | End of split
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | End of split
% 240.67/47.14  | | | | | 
% 240.67/47.14  | | | | Case 2:
% 240.67/47.14  | | | | | 
% 240.67/47.14  | | | | |   (387)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 240.67/47.14  | | | | |            op1(e12, e10) = e12)
% 240.67/47.14  | | | | | 
% 240.67/47.14  | | | | | BETA: splitting (387) gives:
% 240.67/47.14  | | | | | 
% 240.67/47.14  | | | | | Case 1:
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | |   (388)  all_25_11 = e12 & op1(e12, e11) = e12
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | | REF_CLOSE: (33), (63), (388) are inconsistent by sub-proof #1020.
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | Case 2:
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | |   (389)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.67/47.14  | | | | | | 
% 240.67/47.14  | | | | | | ALPHA: (389) implies:
% 240.67/47.14  | | | | | |   (390)  all_25_18 = e12
% 240.67/47.15  | | | | | |   (391)  op1(e12, e10) = e12
% 240.67/47.15  | | | | | | 
% 240.67/47.15  | | | | | | GROUND_INST: instantiating (45) with all_14_22, e12, e10, e12,
% 240.67/47.15  | | | | | |              simplifying with (46), (391) gives:
% 240.67/47.15  | | | | | |   (392)  all_14_22 = e12
% 240.67/47.15  | | | | | | 
% 240.67/47.15  | | | | | | REDUCE: (105), (392) imply:
% 240.67/47.15  | | | | | |   (393)   ~ (e13 = e12)
% 240.67/47.15  | | | | | | 
% 240.67/47.15  | | | | | | REF_CLOSE: (4), (5), (9), (10), (11), (13), (16), (18), (19), (21),
% 240.67/47.15  | | | | | |            (22), (26), (27), (28), (29), (35), (36), (37), (38),
% 240.67/47.15  | | | | | |            (45), (47), (49), (57), (63), (64), (69), (74), (77),
% 240.67/47.15  | | | | | |            (80), (85), (89), (94), (96), (101), (104), (106), (107),
% 240.67/47.15  | | | | | |            (112), (115), (129), (132), (390) are inconsistent by
% 240.67/47.15  | | | | | |            sub-proof #59.
% 240.67/47.15  | | | | | | 
% 240.67/47.15  | | | | | End of split
% 240.67/47.15  | | | | | 
% 240.67/47.15  | | | | End of split
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | End of split
% 240.67/47.15  | | | 
% 240.67/47.15  | | Case 2:
% 240.67/47.15  | | | 
% 240.67/47.15  | | |   (394)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.67/47.15  | | | 
% 240.67/47.15  | | | REF_CLOSE: (21), (71), (394) are inconsistent by sub-proof #984.
% 240.67/47.15  | | | 
% 240.67/47.15  | | End of split
% 240.67/47.15  | | 
% 240.67/47.15  | Case 2:
% 240.67/47.15  | | 
% 240.67/47.15  | |   (395)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.67/47.15  | |            op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.67/47.15  | | 
% 240.67/47.15  | | BETA: splitting (395) gives:
% 240.67/47.15  | | 
% 240.67/47.15  | | Case 1:
% 240.67/47.15  | | | 
% 240.67/47.15  | | |   (396)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.67/47.15  | | | 
% 240.67/47.15  | | | ALPHA: (396) implies:
% 240.67/47.15  | | |   (397)  all_25_11 = e11
% 240.67/47.15  | | | 
% 240.67/47.15  | | | COMBINE_EQS: (33), (397) imply:
% 240.67/47.15  | | |   (398)  e13 = e11
% 240.67/47.15  | | | 
% 240.67/47.15  | | | REF_CLOSE: (11), (13), (26), (27), (29), (45), (47), (49), (69), (74),
% 240.67/47.15  | | |            (85), (101), (398) are inconsistent by sub-proof #1172.
% 240.67/47.15  | | | 
% 240.67/47.15  | | Case 2:
% 240.67/47.15  | | | 
% 240.67/47.15  | | |   (399)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.67/47.15  | | |            op1(e10, e11) = e11)
% 240.67/47.15  | | | 
% 240.67/47.15  | | | REF_CLOSE: (8), (19), (57), (65), (399) are inconsistent by sub-proof
% 240.67/47.15  | | |            #131.
% 240.67/47.15  | | | 
% 240.67/47.15  | | End of split
% 240.67/47.15  | | 
% 240.67/47.15  | End of split
% 240.67/47.15  | 
% 240.67/47.15  End of proof
% 240.67/47.15  
% 240.67/47.15  Sub-proof #52 shows that the following formulas are inconsistent:
% 240.67/47.15  ----------------------------------------------------------------
% 240.67/47.15    (1)   ~ (all_23_58 = all_23_59)
% 240.67/47.15    (2)  op1(e11, e10) = all_23_59
% 240.67/47.15    (3)   ~ (e13 = e10)
% 240.67/47.15    (4)   ~ (e14 = e13)
% 240.67/47.15    (5)  op1(e13, unit1) = e13
% 240.67/47.15    (6)  op1(e13, e11) = e14
% 240.67/47.15    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.67/47.15           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.67/47.15    (8)  op1(e10, e11) = all_23_58
% 240.67/47.15    (9)  op1(unit1, e11) = e11
% 240.67/47.15    (10)  op1(e13, e12) = e10
% 240.67/47.15    (11)   ~ (e13 = e12)
% 240.67/47.15    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.67/47.15    (13)  op1(e11, unit1) = e11
% 240.67/47.15    (14)  op1(e13, e14) = e12
% 240.67/47.15  
% 240.67/47.15  Begin of proof
% 240.67/47.15  | 
% 240.67/47.15  | BETA: splitting (12) gives:
% 240.67/47.15  | 
% 240.67/47.15  | Case 1:
% 240.67/47.15  | | 
% 240.67/47.15  | |   (15)  unit1 = e14
% 240.67/47.15  | | 
% 240.67/47.15  | | REDUCE: (5), (15) imply:
% 240.67/47.15  | |   (16)  op1(e13, e14) = e13
% 240.67/47.15  | | 
% 240.67/47.15  | | REF_CLOSE: (7), (11), (14), (16) are inconsistent by sub-proof #1227.
% 240.67/47.15  | | 
% 240.67/47.15  | Case 2:
% 240.67/47.15  | | 
% 240.67/47.15  | |   (17)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.67/47.15  | | 
% 240.67/47.15  | | BETA: splitting (17) gives:
% 240.67/47.15  | | 
% 240.67/47.15  | | Case 1:
% 240.67/47.15  | | | 
% 240.67/47.15  | | |   (18)  unit1 = e12
% 240.67/47.15  | | | 
% 240.67/47.15  | | | REDUCE: (5), (18) imply:
% 240.67/47.15  | | |   (19)  op1(e13, e12) = e13
% 240.67/47.15  | | | 
% 240.67/47.15  | | | REF_CLOSE: (3), (7), (10), (19) are inconsistent by sub-proof #1334.
% 240.67/47.15  | | | 
% 240.67/47.15  | | Case 2:
% 240.67/47.15  | | | 
% 240.67/47.15  | | |   (20)  unit1 = e11 | unit1 = e10
% 240.67/47.15  | | | 
% 240.67/47.15  | | | BETA: splitting (20) gives:
% 240.67/47.15  | | | 
% 240.67/47.15  | | | Case 1:
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | |   (21)  unit1 = e11
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | | REDUCE: (5), (21) imply:
% 240.67/47.15  | | | |   (22)  op1(e13, e11) = e13
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | | REF_CLOSE: (4), (6), (7), (22) are inconsistent by sub-proof #1333.
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | Case 2:
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | |   (23)  unit1 = e10
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | | REDUCE: (9), (23) imply:
% 240.67/47.15  | | | |   (24)  op1(e10, e11) = e11
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | | REDUCE: (13), (23) imply:
% 240.67/47.15  | | | |   (25)  op1(e11, e10) = e11
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | | REF_CLOSE: (1), (2), (7), (8), (24), (25) are inconsistent by sub-proof
% 240.67/47.15  | | | |            #990.
% 240.67/47.15  | | | | 
% 240.67/47.15  | | | End of split
% 240.67/47.15  | | | 
% 240.67/47.15  | | End of split
% 240.67/47.15  | | 
% 240.67/47.15  | End of split
% 240.67/47.15  | 
% 240.67/47.15  End of proof
% 240.67/47.15  
% 240.67/47.15  Sub-proof #53 shows that the following formulas are inconsistent:
% 240.67/47.15  ----------------------------------------------------------------
% 240.67/47.15    (1)  op1(e10, e12) = all_23_54
% 240.67/47.15    (2)   ~ (all_23_54 = all_23_55)
% 240.67/47.15    (3)  unit1 = e10
% 240.67/47.15    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.67/47.15           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.67/47.15    (5)  op1(e12, unit1) = e12
% 240.67/47.15    (6)  op1(unit1, e12) = e12
% 240.67/47.15    (7)  op1(e12, e10) = all_23_55
% 240.67/47.15  
% 240.67/47.15  Begin of proof
% 240.67/47.15  | 
% 240.67/47.15  | REDUCE: (3), (6) imply:
% 240.67/47.15  |   (8)  op1(e10, e12) = e12
% 240.67/47.15  | 
% 240.67/47.15  | REDUCE: (3), (5) imply:
% 240.67/47.15  |   (9)  op1(e12, e10) = e12
% 240.67/47.15  | 
% 240.67/47.15  | REF_CLOSE: (1), (2), (4), (7), (8), (9) are inconsistent by sub-proof #993.
% 240.67/47.15  | 
% 240.67/47.15  End of proof
% 240.67/47.15  
% 240.67/47.15  Sub-proof #54 shows that the following formulas are inconsistent:
% 240.67/47.15  ----------------------------------------------------------------
% 240.67/47.15    (1)   ~ (e14 = e10)
% 240.67/47.15    (2)  all_25_2 = e12
% 240.67/47.15    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.67/47.15           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.67/47.15           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.67/47.15    (4)  all_25_1 = e12
% 240.67/47.15    (5)  all_25_4 = e13
% 240.67/47.15    (6)   ~ (all_14_12 = e13)
% 240.67/47.15    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.67/47.15           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.67/47.15           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.67/47.15    (8)   ~ (e12 = e11)
% 240.67/47.15    (9)   ~ (e14 = e11)
% 240.67/47.15    (10)  all_25_3 = e11
% 240.67/47.15    (11)  op1(e10, e13) = e13
% 240.67/47.15    (12)   ~ (e13 = e10)
% 240.67/47.15    (13)  op1(e11, e12) = all_14_13
% 240.67/47.15    (14)   ~ (e14 = e13)
% 240.67/47.15    (15)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.67/47.15            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.67/47.15            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.67/47.15    (16)  all_25_21 = e13
% 240.67/47.15    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.67/47.15            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.67/47.15    (18)   ~ (e13 = e11)
% 240.67/47.15    (19)  op1(e13, e12) = e10
% 240.67/47.15    (20)   ~ (e11 = e10)
% 240.67/47.15    (21)   ~ (e13 = e12)
% 240.67/47.15    (22)  op1(e13, e13) = e11
% 240.67/47.15    (23)   ~ (all_14_13 = e13)
% 240.67/47.15    (24)   ~ (e12 = e10)
% 240.67/47.15    (25)   ~ (all_14_14 = e13)
% 240.67/47.15    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.67/47.15            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.67/47.15            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.67/47.15    (27)  all_25_13 = e11
% 240.67/47.15    (28)  op1(e12, e12) = all_14_12
% 240.77/47.15    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.77/47.15            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.77/47.15            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.77/47.15    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.15            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.15            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.15    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.15            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.77/47.15            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.77/47.15    (32)  op1(e10, e12) = all_14_14
% 240.77/47.15    (33)   ~ (e14 = e12)
% 240.77/47.15    (34)  all_25_17 = e13
% 240.77/47.15  
% 240.77/47.15  Begin of proof
% 240.77/47.15  | 
% 240.77/47.15  | BETA: splitting (29) gives:
% 240.77/47.15  | 
% 240.77/47.15  | Case 1:
% 240.77/47.15  | | 
% 240.77/47.15  | |   (35)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 240.77/47.15  | |             e13) = e10)
% 240.77/47.15  | | 
% 240.77/47.15  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (12), (14), (17), (18), (19),
% 240.77/47.15  | |            (20), (21), (22), (24), (26), (30), (33), (35) are inconsistent
% 240.77/47.15  | |            by sub-proof #1279.
% 240.77/47.15  | | 
% 240.77/47.15  | Case 2:
% 240.77/47.15  | | 
% 240.77/47.15  | |   (36)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 240.77/47.15  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.77/47.15  | | 
% 240.77/47.15  | | BETA: splitting (36) gives:
% 240.77/47.15  | | 
% 240.77/47.15  | | Case 1:
% 240.77/47.15  | | | 
% 240.77/47.15  | | |   (37)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.77/47.15  | | | 
% 240.77/47.15  | | | ALPHA: (37) implies:
% 240.77/47.15  | | |   (38)  all_25_7 = e10
% 240.77/47.15  | | | 
% 240.77/47.15  | | | REF_CLOSE: (1), (4), (9), (10), (11), (14), (17), (27), (31), (33), (38)
% 240.77/47.15  | | |            are inconsistent by sub-proof #1169.
% 240.77/47.15  | | | 
% 240.77/47.15  | | Case 2:
% 240.77/47.15  | | | 
% 240.77/47.15  | | |   (39)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 240.77/47.15  | | |           op1(e10, e13) = e10)
% 240.77/47.15  | | | 
% 240.77/47.15  | | | BETA: splitting (39) gives:
% 240.77/47.15  | | | 
% 240.77/47.15  | | | Case 1:
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | |   (40)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | | REF_CLOSE: (20), (27), (40) are inconsistent by sub-proof #1069.
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | Case 2:
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | |   (41)  all_25_21 = e10 & op1(e10, e13) = e10
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (12), (13), (14), (15),
% 240.77/47.15  | | | |            (16), (17), (18), (19), (21), (22), (23), (25), (28), (30),
% 240.77/47.15  | | | |            (32), (33), (34), (41) are inconsistent by sub-proof #1192.
% 240.77/47.15  | | | | 
% 240.77/47.15  | | | End of split
% 240.77/47.15  | | | 
% 240.77/47.15  | | End of split
% 240.77/47.15  | | 
% 240.77/47.15  | End of split
% 240.77/47.15  | 
% 240.77/47.15  End of proof
% 240.77/47.15  
% 240.77/47.15  Sub-proof #55 shows that the following formulas are inconsistent:
% 240.77/47.15  ----------------------------------------------------------------
% 240.77/47.15    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 240.77/47.15             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 240.77/47.15           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.15    (2)  all_25_4 = e13
% 240.77/47.15    (3)   ~ (all_14_12 = e13)
% 240.77/47.15    (4)   ~ (e12 = e11)
% 240.77/47.15    (5)   ~ (e14 = e11)
% 240.77/47.15    (6)   ~ (e13 = e10)
% 240.77/47.15    (7)  op1(e11, e12) = all_14_13
% 240.77/47.15    (8)   ~ (e14 = e13)
% 240.77/47.15    (9)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.77/47.15           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.77/47.15           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.77/47.15    (10)  all_25_24 = e12
% 240.77/47.15    (11)  op1(e13, unit1) = e13
% 240.77/47.15    (12)  op1(e13, e11) = e14
% 240.77/47.15    (13)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.77/47.15    (14)  all_25_21 = e13
% 240.77/47.15    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.15            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.15    (16)   ~ (e13 = e11)
% 240.77/47.15    (17)  op1(e13, e12) = e10
% 240.77/47.15    (18)   ~ (e11 = e10)
% 240.77/47.15    (19)   ~ (e13 = e12)
% 240.77/47.15    (20)  all_25_23 = e10
% 240.77/47.15    (21)   ~ (all_14_13 = e13)
% 240.77/47.15    (22)   ~ (all_14_14 = e13)
% 240.77/47.15    (23)  op1(e12, e12) = all_14_12
% 240.77/47.15    (24)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.15    (25)  op1(unit1, e14) = e14
% 240.77/47.15    (26)  op1(unit1, e12) = e12
% 240.77/47.15    (27)  op1(e10, e12) = all_14_14
% 240.77/47.15    (28)  op1(e13, e14) = e12
% 240.77/47.15  
% 240.77/47.15  Begin of proof
% 240.77/47.15  | 
% 240.77/47.15  | ALPHA: (13) implies:
% 240.77/47.15  |   (29)  all_25_22 = e14
% 240.77/47.15  |   (30)  op1(e10, e12) = e14
% 240.77/47.15  | 
% 240.77/47.15  | BETA: splitting (1) gives:
% 240.77/47.15  | 
% 240.77/47.15  | Case 1:
% 240.77/47.15  | | 
% 240.77/47.15  | |   (31)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 240.77/47.15  | |           op1(e10, e13) = e11)
% 240.77/47.15  | | 
% 240.77/47.15  | | BETA: splitting (31) gives:
% 240.77/47.15  | | 
% 240.77/47.15  | | Case 1:
% 240.77/47.15  | | | 
% 240.77/47.15  | | |   (32)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.77/47.15  | | | 
% 240.77/47.15  | | | ALPHA: (32) implies:
% 240.77/47.15  | | |   (33)  op1(e10, e14) = e11
% 240.77/47.15  | | | 
% 240.77/47.16  | | | REF_CLOSE: (4), (6), (8), (11), (12), (15), (17), (19), (24), (25), (26),
% 240.77/47.16  | | |            (28), (30), (33) are inconsistent by sub-proof #121.
% 240.77/47.16  | | | 
% 240.77/47.16  | | Case 2:
% 240.77/47.16  | | | 
% 240.77/47.16  | | |   (34)  all_25_21 = e11 & op1(e10, e13) = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | ALPHA: (34) implies:
% 240.77/47.16  | | |   (35)  all_25_21 = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | COMBINE_EQS: (14), (35) imply:
% 240.77/47.16  | | |   (36)  e13 = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | REF_CLOSE: (2), (3), (6), (7), (9), (15), (16), (17), (21), (22), (23),
% 240.77/47.16  | | |            (27), (36) are inconsistent by sub-proof #1172.
% 240.77/47.16  | | | 
% 240.77/47.16  | | End of split
% 240.77/47.16  | | 
% 240.77/47.16  | Case 2:
% 240.77/47.16  | | 
% 240.77/47.16  | |   (37)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 240.77/47.16  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.16  | | 
% 240.77/47.16  | | BETA: splitting (37) gives:
% 240.77/47.16  | | 
% 240.77/47.16  | | Case 1:
% 240.77/47.16  | | | 
% 240.77/47.16  | | |   (38)  all_25_22 = e11 & op1(e10, e12) = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | ALPHA: (38) implies:
% 240.77/47.16  | | |   (39)  all_25_22 = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | COMBINE_EQS: (29), (39) imply:
% 240.77/47.16  | | |   (40)  e14 = e11
% 240.77/47.16  | | | 
% 240.77/47.16  | | | REDUCE: (5), (40) imply:
% 240.77/47.16  | | |   (41)  $false
% 240.77/47.16  | | | 
% 240.77/47.16  | | | CLOSE: (41) is inconsistent.
% 240.77/47.16  | | | 
% 240.77/47.16  | | Case 2:
% 240.77/47.16  | | | 
% 240.77/47.16  | | |   (42)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 240.77/47.16  | | |           op1(e10, e10) = e11)
% 240.77/47.16  | | | 
% 240.77/47.16  | | | REF_CLOSE: (4), (10), (18), (20), (42) are inconsistent by sub-proof #56.
% 240.77/47.16  | | | 
% 240.77/47.16  | | End of split
% 240.77/47.16  | | 
% 240.77/47.16  | End of split
% 240.77/47.16  | 
% 240.77/47.16  End of proof
% 240.77/47.16  
% 240.77/47.16  Sub-proof #56 shows that the following formulas are inconsistent:
% 240.77/47.16  ----------------------------------------------------------------
% 240.77/47.16    (1)   ~ (e12 = e11)
% 240.77/47.16    (2)  all_25_24 = e12
% 240.77/47.16    (3)   ~ (e11 = e10)
% 240.77/47.16    (4)  all_25_23 = e10
% 240.77/47.16    (5)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10,
% 240.77/47.16             e10) = e11)
% 240.77/47.16  
% 240.77/47.16  Begin of proof
% 240.77/47.16  | 
% 240.77/47.16  | BETA: splitting (5) gives:
% 240.77/47.16  | 
% 240.77/47.16  | Case 1:
% 240.77/47.16  | | 
% 240.77/47.16  | |   (6)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | ALPHA: (6) implies:
% 240.77/47.16  | |   (7)  all_25_23 = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #151.
% 240.77/47.16  | | 
% 240.77/47.16  | Case 2:
% 240.77/47.16  | | 
% 240.77/47.16  | |   (8)  all_25_24 = e11 & op1(e10, e10) = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #134.
% 240.77/47.16  | | 
% 240.77/47.16  | End of split
% 240.77/47.16  | 
% 240.77/47.16  End of proof
% 240.77/47.16  
% 240.77/47.16  Sub-proof #57 shows that the following formulas are inconsistent:
% 240.77/47.16  ----------------------------------------------------------------
% 240.77/47.16    (1)   ~ (e14 = e10)
% 240.77/47.16    (2)  all_25_2 = e12
% 240.77/47.16    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.16           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.16           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.16    (4)  all_25_1 = e12
% 240.77/47.16    (5)  op1(e14, unit1) = e14
% 240.77/47.16    (6)  all_25_4 = e13
% 240.77/47.16    (7)   ~ (all_14_12 = e13)
% 240.77/47.16    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.16           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.16           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.16    (9)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.16             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.16           e10 & op1(e11, e10) = e10)
% 240.77/47.16    (10)   ~ (e12 = e11)
% 240.77/47.16    (11)   ~ (e14 = e11)
% 240.77/47.16    (12)  all_25_3 = e11
% 240.77/47.16    (13)  op1(e10, e13) = e13
% 240.77/47.16    (14)   ~ (e13 = e10)
% 240.77/47.16    (15)  op1(e11, e12) = all_14_13
% 240.77/47.16    (16)   ~ (e14 = e13)
% 240.77/47.16    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.77/47.16            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.77/47.16            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.77/47.16    (18)  op1(e14, e11) = all_14_15
% 240.77/47.16    (19)  op1(e13, unit1) = e13
% 240.77/47.16    (20)  op1(e13, e11) = e14
% 240.77/47.16    (21)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.16              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.16            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.16    (22)  all_25_21 = e13
% 240.77/47.16    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.16            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.16    (24)   ~ (e13 = e11)
% 240.77/47.16    (25)  op1(e13, e12) = e10
% 240.77/47.16    (26)  op1(e12, unit1) = e12
% 240.77/47.16    (27)   ~ (e11 = e10)
% 240.77/47.16    (28)   ~ (e13 = e12)
% 240.77/47.16    (29)  op1(e13, e13) = e11
% 240.77/47.16    (30)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 240.77/47.16              e13) = e11)
% 240.77/47.16    (31)   ~ (all_14_13 = e13)
% 240.77/47.16    (32)   ~ (e12 = e10)
% 240.77/47.16    (33)   ~ (all_14_19 = e14)
% 240.77/47.16    (34)   ~ (all_14_14 = e13)
% 240.77/47.16    (35)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.16            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.16            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.16    (36)  all_25_0 = e10
% 240.77/47.16    (37)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.77/47.16              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.77/47.16            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.77/47.16    (38)   ~ (all_14_15 = e14)
% 240.77/47.16    (39)  op1(e14, e10) = all_14_20
% 240.77/47.16    (40)   ~ (all_14_20 = e12)
% 240.77/47.16    (41)  op1(e12, e12) = all_14_12
% 240.77/47.16    (42)  op1(e13, e10) = e13
% 240.77/47.16    (43)  all_25_16 = e14
% 240.77/47.16    (44)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.16    (45)  op1(unit1, e14) = e14
% 240.77/47.16    (46)  op1(e11, unit1) = e11
% 240.77/47.16    (47)  op1(unit1, e12) = e12
% 240.77/47.16    (48)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.16            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.16            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.16    (49)  op1(e10, e11) = all_14_19
% 240.77/47.16    (50)  op1(e10, e12) = all_14_14
% 240.77/47.16    (51)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.16              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.16            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.16    (52)  op1(e13, e14) = e12
% 240.77/47.16    (53)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.77/47.16            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.77/47.16            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.77/47.16    (54)   ~ (e14 = e12)
% 240.77/47.16    (55)  all_25_17 = e13
% 240.77/47.16  
% 240.77/47.16  Begin of proof
% 240.77/47.16  | 
% 240.77/47.16  | BETA: splitting (30) gives:
% 240.77/47.16  | 
% 240.77/47.16  | Case 1:
% 240.77/47.16  | | 
% 240.77/47.16  | |   (56)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 240.77/47.16  | |            (14), (16), (18), (19), (20), (21), (23), (24), (25), (26), (27),
% 240.77/47.16  | |            (28), (29), (32), (33), (35), (36), (37), (38), (39), (40), (42),
% 240.77/47.16  | |            (43), (44), (45), (46), (47), (48), (49), (51), (52), (53), (54),
% 240.77/47.16  | |            (55), (56) are inconsistent by sub-proof #58.
% 240.77/47.16  | | 
% 240.77/47.16  | Case 2:
% 240.77/47.16  | | 
% 240.77/47.16  | |   (57)  all_25_21 = e11 & op1(e10, e13) = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | ALPHA: (57) implies:
% 240.77/47.16  | |   (58)  all_25_21 = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | COMBINE_EQS: (22), (58) imply:
% 240.77/47.16  | |   (59)  e13 = e11
% 240.77/47.16  | | 
% 240.77/47.16  | | REF_CLOSE: (6), (7), (14), (15), (17), (23), (24), (25), (31), (34), (41),
% 240.77/47.16  | |            (50), (59) are inconsistent by sub-proof #1172.
% 240.77/47.16  | | 
% 240.77/47.16  | End of split
% 240.77/47.16  | 
% 240.77/47.16  End of proof
% 240.77/47.16  
% 240.77/47.16  Sub-proof #58 shows that the following formulas are inconsistent:
% 240.77/47.16  ----------------------------------------------------------------
% 240.77/47.16    (1)   ~ (e14 = e10)
% 240.77/47.16    (2)  all_25_2 = e12
% 240.77/47.16    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.16           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.16           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.16    (4)  all_25_1 = e12
% 240.77/47.16    (5)  op1(e14, unit1) = e14
% 240.77/47.16    (6)  all_25_4 = e13
% 240.77/47.16    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.16           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.16           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.16    (8)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.16             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.16           e10 & op1(e11, e10) = e10)
% 240.77/47.16    (9)   ~ (e12 = e11)
% 240.77/47.16    (10)   ~ (e14 = e11)
% 240.77/47.16    (11)  all_25_3 = e11
% 240.77/47.16    (12)  op1(e10, e13) = e13
% 240.77/47.16    (13)   ~ (e13 = e10)
% 240.77/47.16    (14)   ~ (e14 = e13)
% 240.77/47.16    (15)  op1(e14, e11) = all_14_15
% 240.77/47.16    (16)  op1(e13, unit1) = e13
% 240.77/47.16    (17)  op1(e13, e11) = e14
% 240.77/47.16    (18)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.16              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.16            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.16    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.16            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.16    (20)   ~ (e13 = e11)
% 240.77/47.16    (21)  op1(e13, e12) = e10
% 240.77/47.16    (22)  op1(e12, unit1) = e12
% 240.77/47.16    (23)   ~ (e11 = e10)
% 240.77/47.16    (24)   ~ (e13 = e12)
% 240.77/47.16    (25)  op1(e13, e13) = e11
% 240.77/47.16    (26)   ~ (e12 = e10)
% 240.77/47.16    (27)   ~ (all_14_19 = e14)
% 240.77/47.16    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.16            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.16            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.16    (29)  all_25_0 = e10
% 240.77/47.16    (30)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.77/47.16              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.77/47.16            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.77/47.16    (31)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.77/47.16    (32)   ~ (all_14_15 = e14)
% 240.77/47.16    (33)  op1(e14, e10) = all_14_20
% 240.77/47.16    (34)   ~ (all_14_20 = e12)
% 240.77/47.16    (35)  op1(e13, e10) = e13
% 240.77/47.16    (36)  all_25_16 = e14
% 240.77/47.16    (37)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.16    (38)  op1(unit1, e14) = e14
% 240.77/47.16    (39)  op1(e11, unit1) = e11
% 240.77/47.16    (40)  op1(unit1, e12) = e12
% 240.77/47.16    (41)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.16            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.16            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.16    (42)  op1(e10, e11) = all_14_19
% 240.77/47.16    (43)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.16              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.16            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.16    (44)  op1(e13, e14) = e12
% 240.77/47.17    (45)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.77/47.17            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.77/47.17            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.77/47.17    (46)   ~ (e14 = e12)
% 240.77/47.17    (47)  all_25_17 = e13
% 240.77/47.17  
% 240.77/47.17  Begin of proof
% 240.77/47.17  | 
% 240.77/47.17  | ALPHA: (31) implies:
% 240.77/47.17  |   (48)  all_25_20 = e11
% 240.77/47.17  |   (49)  op1(e10, e14) = e11
% 240.77/47.17  | 
% 240.77/47.17  | BETA: splitting (30) gives:
% 240.77/47.17  | 
% 240.77/47.17  | Case 1:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (50)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 240.77/47.17  | |           op1(e10, e13) = e14)
% 240.77/47.17  | | 
% 240.77/47.17  | | BETA: splitting (50) gives:
% 240.77/47.17  | | 
% 240.77/47.17  | | Case 1:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (51)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | ALPHA: (51) implies:
% 240.77/47.17  | | |   (52)  all_25_20 = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | COMBINE_EQS: (48), (52) imply:
% 240.77/47.17  | | |   (53)  e14 = e11
% 240.77/47.17  | | | 
% 240.77/47.17  | | | COMBINE_EQS: (36), (53) imply:
% 240.77/47.17  | | |   (54)  all_25_16 = e11
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (1), (4), (6), (10), (14), (15), (19), (29), (32), (45), (46),
% 240.77/47.17  | | |            (54) are inconsistent by sub-proof #1219.
% 240.77/47.17  | | | 
% 240.77/47.17  | | Case 2:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (55)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | ALPHA: (55) implies:
% 240.77/47.17  | | |   (56)  op1(e10, e13) = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (12), (14), (19), (56) are inconsistent by sub-proof #1274.
% 240.77/47.17  | | | 
% 240.77/47.17  | | End of split
% 240.77/47.17  | | 
% 240.77/47.17  | Case 2:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (57)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 240.77/47.17  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.77/47.17  | | 
% 240.77/47.17  | | BETA: splitting (57) gives:
% 240.77/47.17  | | 
% 240.77/47.17  | | Case 1:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (58)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | ALPHA: (58) implies:
% 240.77/47.17  | | |   (59)  op1(e10, e12) = e14
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (9), (13), (14), (16), (17), (19), (21), (24), (37), (38),
% 240.77/47.17  | | |            (40), (44), (49), (59) are inconsistent by sub-proof #121.
% 240.77/47.17  | | | 
% 240.77/47.17  | | Case 2:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (60)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 240.77/47.17  | | |           op1(e10, e10) = e14)
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (13), (14),
% 240.77/47.17  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 240.77/47.17  | | |            (26), (27), (28), (33), (34), (35), (37), (39), (41), (42),
% 240.77/47.17  | | |            (43), (44), (46), (47), (60) are inconsistent by sub-proof #67.
% 240.77/47.17  | | | 
% 240.77/47.17  | | End of split
% 240.77/47.17  | | 
% 240.77/47.17  | End of split
% 240.77/47.17  | 
% 240.77/47.17  End of proof
% 240.77/47.17  
% 240.77/47.17  Sub-proof #59 shows that the following formulas are inconsistent:
% 240.77/47.17  ----------------------------------------------------------------
% 240.77/47.17    (1)   ~ (e14 = e10)
% 240.77/47.17    (2)  all_25_2 = e12
% 240.77/47.17    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.17           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.17           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.17    (4)  all_25_1 = e12
% 240.77/47.17    (5)  op1(e14, unit1) = e14
% 240.77/47.17    (6)  all_25_4 = e13
% 240.77/47.17    (7)   ~ (all_14_12 = e13)
% 240.77/47.17    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.17           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.17           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.17    (9)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.17             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.17           e10 & op1(e11, e10) = e10)
% 240.77/47.17    (10)   ~ (e12 = e11)
% 240.77/47.17    (11)   ~ (e14 = e11)
% 240.77/47.17    (12)  all_25_3 = e11
% 240.77/47.17    (13)   ~ (e13 = e10)
% 240.77/47.17    (14)  op1(e11, e12) = all_14_13
% 240.77/47.17    (15)   ~ (e14 = e13)
% 240.77/47.17    (16)  all_25_9 = e11
% 240.77/47.17    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 240.77/47.17            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 240.77/47.17            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 240.77/47.17    (18)  op1(e14, e11) = all_14_15
% 240.77/47.17    (19)  op1(e13, unit1) = e13
% 240.77/47.17    (20)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 240.77/47.17            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 240.77/47.17            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.77/47.17    (21)  op1(e13, e11) = e14
% 240.77/47.17    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.17            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.17    (23)   ~ (e13 = e11)
% 240.77/47.17    (24)  op1(e13, e12) = e10
% 240.77/47.17    (25)   ~ (e11 = e10)
% 240.77/47.17    (26)   ~ (e13 = e12)
% 240.77/47.17    (27)  op1(e13, e13) = e11
% 240.77/47.17    (28)   ~ (all_14_13 = e13)
% 240.77/47.17    (29)   ~ (e12 = e10)
% 240.77/47.17    (30)   ~ (all_14_14 = e13)
% 240.77/47.17    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.17            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.17            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.17    (32)   ~ (all_14_15 = e14)
% 240.77/47.17    (33)  op1(e12, e12) = all_14_12
% 240.77/47.17    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.17    (35)  all_25_18 = e12
% 240.77/47.17    (36)  op1(e11, unit1) = e11
% 240.77/47.17    (37)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.17            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.17            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.17    (38)  op1(e10, e12) = all_14_14
% 240.77/47.17    (39)  op1(e13, e14) = e12
% 240.77/47.17    (40)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 240.77/47.17            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.77/47.17            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.77/47.17    (41)   ~ (e14 = e12)
% 240.77/47.17    (42)  all_25_17 = e13
% 240.77/47.17  
% 240.77/47.17  Begin of proof
% 240.77/47.17  | 
% 240.77/47.17  | BETA: splitting (20) gives:
% 240.77/47.17  | 
% 240.77/47.17  | Case 1:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (43)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 240.77/47.17  | |             e13) = e10)
% 240.77/47.17  | | 
% 240.77/47.17  | | BETA: splitting (43) gives:
% 240.77/47.17  | | 
% 240.77/47.17  | | Case 1:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (44)  all_25_0 = e10 & op1(e14, e14) = e10
% 240.77/47.17  | | | 
% 240.77/47.17  | | | ALPHA: (44) implies:
% 240.77/47.17  | | |   (45)  all_25_0 = e10
% 240.77/47.17  | | | 
% 240.77/47.17  | | | BETA: splitting (40) gives:
% 240.77/47.17  | | | 
% 240.77/47.17  | | | Case 1:
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | |   (46)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 &
% 240.77/47.17  | | | |           op1(e14, e13) = e14)
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | | BETA: splitting (46) gives:
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | | Case 1:
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | |   (47)  all_25_0 = e14 & op1(e14, e14) = e14
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | | REF_CLOSE: (1), (45), (47) are inconsistent by sub-proof #1220.
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | Case 2:
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | |   (48)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | | REF_CLOSE: (4), (41), (48) are inconsistent by sub-proof #1292.
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | End of split
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | Case 2:
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | |   (49)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 240.77/47.17  | | | |           op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | | BETA: splitting (49) gives:
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | | Case 1:
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | |   (50)  all_25_4 = e14 & op1(e14, e12) = e14
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | | REF_CLOSE: (6), (15), (50) are inconsistent by sub-proof #1236.
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | Case 2:
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | |   (51)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 240.77/47.17  | | | | |           op1(e14, e10) = e14)
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | | BETA: splitting (51) gives:
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | | Case 1:
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | |   (52)  all_25_9 = e14 & op1(e14, e11) = e14
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | | REF_CLOSE: (18), (22), (32), (52) are inconsistent by sub-proof
% 240.77/47.17  | | | | | |            #1340.
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | Case 2:
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | |   (53)  all_25_16 = e14 & op1(e14, e10) = e14
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | | ALPHA: (53) implies:
% 240.77/47.17  | | | | | |   (54)  op1(e14, e10) = e14
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (11), (12), (13), (15),
% 240.77/47.17  | | | | | |            (19), (21), (22), (23), (24), (25), (26), (27), (29),
% 240.77/47.17  | | | | | |            (31), (34), (35), (36), (37), (39), (41), (54) are
% 240.77/47.17  | | | | | |            inconsistent by sub-proof #61.
% 240.77/47.17  | | | | | | 
% 240.77/47.17  | | | | | End of split
% 240.77/47.17  | | | | | 
% 240.77/47.17  | | | | End of split
% 240.77/47.17  | | | | 
% 240.77/47.17  | | | End of split
% 240.77/47.17  | | | 
% 240.77/47.17  | | Case 2:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (55)  all_25_1 = e10 & op1(e14, e13) = e10
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (1), (2), (3), (4), (8), (10), (11), (13), (15), (22), (23),
% 240.77/47.17  | | |            (24), (25), (26), (27), (29), (31), (37), (41), (55) are
% 240.77/47.17  | | |            inconsistent by sub-proof #1280.
% 240.77/47.17  | | | 
% 240.77/47.17  | | End of split
% 240.77/47.17  | | 
% 240.77/47.17  | Case 2:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (56)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 240.77/47.17  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 240.77/47.17  | | 
% 240.77/47.17  | | BETA: splitting (56) gives:
% 240.77/47.17  | | 
% 240.77/47.17  | | Case 1:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (57)  all_25_4 = e10 & op1(e14, e12) = e10
% 240.77/47.17  | | | 
% 240.77/47.17  | | | ALPHA: (57) implies:
% 240.77/47.17  | | |   (58)  all_25_4 = e10
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (1), (2), (3), (7), (11), (12), (13), (14), (15), (17), (22),
% 240.77/47.17  | | |            (23), (24), (26), (27), (28), (30), (33), (37), (38), (41),
% 240.77/47.17  | | |            (42), (58) are inconsistent by sub-proof #1242.
% 240.77/47.17  | | | 
% 240.77/47.17  | | Case 2:
% 240.77/47.17  | | | 
% 240.77/47.17  | | |   (59)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 240.77/47.17  | | |           op1(e14, e10) = e10)
% 240.77/47.17  | | | 
% 240.77/47.17  | | | REF_CLOSE: (5), (13), (15), (16), (19), (21), (22), (24), (25), (26),
% 240.77/47.17  | | |            (34), (39), (59) are inconsistent by sub-proof #60.
% 240.77/47.17  | | | 
% 240.77/47.17  | | End of split
% 240.77/47.17  | | 
% 240.77/47.17  | End of split
% 240.77/47.17  | 
% 240.77/47.17  End of proof
% 240.77/47.17  
% 240.77/47.17  Sub-proof #60 shows that the following formulas are inconsistent:
% 240.77/47.17  ----------------------------------------------------------------
% 240.77/47.17    (1)  op1(e14, unit1) = e14
% 240.77/47.17    (2)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10)
% 240.77/47.17           = e10)
% 240.77/47.17    (3)   ~ (e13 = e10)
% 240.77/47.17    (4)   ~ (e14 = e13)
% 240.77/47.17    (5)  all_25_9 = e11
% 240.77/47.17    (6)  op1(e13, unit1) = e13
% 240.77/47.17    (7)  op1(e13, e11) = e14
% 240.77/47.17    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.17           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.17    (9)  op1(e13, e12) = e10
% 240.77/47.17    (10)   ~ (e11 = e10)
% 240.77/47.17    (11)   ~ (e13 = e12)
% 240.77/47.17    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.17    (13)  op1(e13, e14) = e12
% 240.77/47.17  
% 240.77/47.17  Begin of proof
% 240.77/47.17  | 
% 240.77/47.17  | BETA: splitting (2) gives:
% 240.77/47.17  | 
% 240.77/47.17  | Case 1:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (14)  all_25_9 = e10 & op1(e14, e11) = e10
% 240.77/47.17  | | 
% 240.77/47.17  | | REF_CLOSE: (5), (10), (14) are inconsistent by sub-proof #1133.
% 240.77/47.17  | | 
% 240.77/47.17  | Case 2:
% 240.77/47.17  | | 
% 240.77/47.17  | |   (15)  all_25_16 = e10 & op1(e14, e10) = e10
% 240.77/47.17  | | 
% 240.77/47.17  | | ALPHA: (15) implies:
% 240.77/47.17  | |   (16)  op1(e14, e10) = e10
% 240.77/47.17  | | 
% 240.77/47.17  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (11), (12), (13), (16) are
% 240.77/47.17  | |            inconsistent by sub-proof #142.
% 240.77/47.17  | | 
% 240.77/47.17  | End of split
% 240.77/47.17  | 
% 240.77/47.17  End of proof
% 240.77/47.17  
% 240.77/47.17  Sub-proof #61 shows that the following formulas are inconsistent:
% 240.77/47.17  ----------------------------------------------------------------
% 240.77/47.17    (1)   ~ (e14 = e10)
% 240.77/47.17    (2)  all_25_2 = e12
% 240.77/47.17    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.17           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.17           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.17    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.17           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.17           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.17    (5)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.17             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.17           e10 & op1(e11, e10) = e10)
% 240.77/47.17    (6)   ~ (e12 = e11)
% 240.77/47.17    (7)   ~ (e14 = e11)
% 240.77/47.17    (8)  all_25_3 = e11
% 240.77/47.17    (9)   ~ (e13 = e10)
% 240.77/47.17    (10)   ~ (e14 = e13)
% 240.77/47.17    (11)  op1(e13, unit1) = e13
% 240.77/47.17    (12)  op1(e14, e10) = e14
% 240.77/47.17    (13)  op1(e13, e11) = e14
% 240.77/47.17    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.17            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.17    (15)   ~ (e13 = e11)
% 240.77/47.17    (16)  op1(e13, e12) = e10
% 240.77/47.17    (17)   ~ (e11 = e10)
% 240.77/47.17    (18)   ~ (e13 = e12)
% 240.77/47.17    (19)  op1(e13, e13) = e11
% 240.77/47.17    (20)   ~ (e12 = e10)
% 240.77/47.17    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.17            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.17            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.17    (22)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.17    (23)  all_25_18 = e12
% 240.77/47.17    (24)  op1(e11, unit1) = e11
% 240.77/47.17    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.17            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.17            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.17    (26)  op1(e13, e14) = e12
% 240.77/47.17    (27)   ~ (e14 = e12)
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | BETA: splitting (5) gives:
% 240.77/47.18  | 
% 240.77/47.18  | Case 1:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (28)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 &
% 240.77/47.18  | |           op1(e13, e10) = e10)
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (10), (12), (14), (15), (16), (18),
% 240.77/47.18  | |            (19), (25), (27), (28) are inconsistent by sub-proof #62.
% 240.77/47.18  | | 
% 240.77/47.18  | Case 2:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (29)  (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 = e10 &
% 240.77/47.18  | |           op1(e11, e10) = e10)
% 240.77/47.18  | | 
% 240.77/47.18  | | BETA: splitting (29) gives:
% 240.77/47.18  | | 
% 240.77/47.18  | | Case 1:
% 240.77/47.18  | | | 
% 240.77/47.18  | | |   (30)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.77/47.18  | | | 
% 240.77/47.18  | | | ALPHA: (30) implies:
% 240.77/47.18  | | |   (31)  all_25_18 = e10
% 240.77/47.18  | | | 
% 240.77/47.18  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (14), (15), (16),
% 240.77/47.18  | | |            (17), (18), (19), (20), (21), (23), (25), (27), (31) are
% 240.77/47.18  | | |            inconsistent by sub-proof #977.
% 240.77/47.18  | | | 
% 240.77/47.18  | | Case 2:
% 240.77/47.18  | | | 
% 240.77/47.18  | | |   (32)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.77/47.18  | | | 
% 240.77/47.18  | | | REF_CLOSE: (9), (10), (11), (13), (14), (16), (18), (22), (24), (26), (32)
% 240.77/47.18  | | |            are inconsistent by sub-proof #115.
% 240.77/47.18  | | | 
% 240.77/47.18  | | End of split
% 240.77/47.18  | | 
% 240.77/47.18  | End of split
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #62 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)   ~ (e14 = e10)
% 240.77/47.18    (2)  all_25_2 = e12
% 240.77/47.18    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.18           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.18           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.18    (4)   ~ (e14 = e11)
% 240.77/47.18    (5)  all_25_3 = e11
% 240.77/47.18    (6)   ~ (e13 = e10)
% 240.77/47.18    (7)   ~ (e14 = e13)
% 240.77/47.18    (8)  op1(e14, e10) = e14
% 240.77/47.18    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (10)   ~ (e13 = e11)
% 240.77/47.18    (11)  op1(e13, e12) = e10
% 240.77/47.18    (12)   ~ (e13 = e12)
% 240.77/47.18    (13)  op1(e13, e13) = e11
% 240.77/47.18    (14)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.18              e10) = e10)
% 240.77/47.18    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.18            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.18            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.18    (16)   ~ (e14 = e12)
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | BETA: splitting (14) gives:
% 240.77/47.18  | 
% 240.77/47.18  | Case 1:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (17)  all_25_16 = e10 & op1(e14, e10) = e10
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (1), (8), (9), (17) are inconsistent by sub-proof #63.
% 240.77/47.18  | | 
% 240.77/47.18  | Case 2:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (18)  all_25_17 = e10 & op1(e13, e10) = e10
% 240.77/47.18  | | 
% 240.77/47.18  | | ALPHA: (18) implies:
% 240.77/47.18  | |   (19)  all_25_17 = e10
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 240.77/47.18  | |            (15), (16), (19) are inconsistent by sub-proof #1277.
% 240.77/47.18  | | 
% 240.77/47.18  | End of split
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #63 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)  all_25_16 = e10 & op1(e14, e10) = e10
% 240.77/47.18    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (3)  op1(e14, e10) = e14
% 240.77/47.18    (4)   ~ (e14 = e10)
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | ALPHA: (1) implies:
% 240.77/47.18  |   (5)  op1(e14, e10) = e10
% 240.77/47.18  | 
% 240.77/47.18  | GROUND_INST: instantiating (2) with e10, e14, e10, e14, simplifying with (3),
% 240.77/47.18  |              (5) gives:
% 240.77/47.18  |   (6)  e14 = e10
% 240.77/47.18  | 
% 240.77/47.18  | REDUCE: (4), (6) imply:
% 240.77/47.18  |   (7)  $false
% 240.77/47.18  | 
% 240.77/47.18  | CLOSE: (7) is inconsistent.
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #64 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)  op1(e12, e13) = all_14_7
% 240.77/47.18    (2)   ~ (all_14_7 = e12)
% 240.77/47.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (4)   ~ (all_14_2 = e12)
% 240.77/47.18    (5)  op1(e12, e14) = all_14_2
% 240.77/47.18    (6)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.77/47.18           = e12)
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | BETA: splitting (6) gives:
% 240.77/47.18  | 
% 240.77/47.18  | Case 1:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (7)  all_25_6 = e12 & op1(e12, e14) = e12
% 240.77/47.18  | | 
% 240.77/47.18  | | ALPHA: (7) implies:
% 240.77/47.18  | |   (8)  op1(e12, e14) = e12
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #73.
% 240.77/47.18  | | 
% 240.77/47.18  | Case 2:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (9)  all_25_7 = e12 & op1(e12, e13) = e12
% 240.77/47.18  | | 
% 240.77/47.18  | | ALPHA: (9) implies:
% 240.77/47.18  | |   (10)  op1(e12, e13) = e12
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1296.
% 240.77/47.18  | | 
% 240.77/47.18  | End of split
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #65 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (2)  op1(e10, e12) = all_14_14
% 240.77/47.18    (3)  op1(e10, e12) = e10
% 240.77/47.18    (4)   ~ (all_14_14 = e10)
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | GROUND_INST: instantiating (1) with all_14_14, e10, e12, e10, simplifying with
% 240.77/47.18  |              (2), (3) gives:
% 240.77/47.18  |   (5)  all_14_14 = e10
% 240.77/47.18  | 
% 240.77/47.18  | REDUCE: (4), (5) imply:
% 240.77/47.18  |   (6)  $false
% 240.77/47.18  | 
% 240.77/47.18  | CLOSE: (6) is inconsistent.
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #66 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)   ~ (e14 = e10)
% 240.77/47.18    (2)  all_25_2 = e12
% 240.77/47.18    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.18           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.18           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.18    (4)  op1(e10, e14) = e10
% 240.77/47.18    (5)  op1(e14, unit1) = e14
% 240.77/47.18    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.18           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.18           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.18    (7)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.18             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.18           e10 & op1(e11, e10) = e10)
% 240.77/47.18    (8)   ~ (e12 = e11)
% 240.77/47.18    (9)   ~ (e14 = e11)
% 240.77/47.18    (10)  all_25_3 = e11
% 240.77/47.18    (11)  op1(e10, e13) = e13
% 240.77/47.18    (12)   ~ (e13 = e10)
% 240.77/47.18    (13)   ~ (e14 = e13)
% 240.77/47.18    (14)  op1(e13, unit1) = e13
% 240.77/47.18    (15)  op1(e13, e11) = e14
% 240.77/47.18    (16)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.18              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.18            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.18    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (18)   ~ (e13 = e11)
% 240.77/47.18    (19)  all_25_20 = e10
% 240.77/47.18    (20)  op1(e13, e12) = e10
% 240.77/47.18    (21)   ~ (all_14_2 = e12)
% 240.77/47.18    (22)  op1(e12, unit1) = e12
% 240.77/47.18    (23)   ~ (e11 = e10)
% 240.77/47.18    (24)  op1(e12, e14) = all_14_2
% 240.77/47.18    (25)   ~ (e13 = e12)
% 240.77/47.18    (26)  op1(e13, e13) = e11
% 240.77/47.18    (27)   ~ (e12 = e10)
% 240.77/47.18    (28)   ~ (all_14_19 = e14)
% 240.77/47.18    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.18            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.18            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.18    (30)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.77/47.18              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 240.77/47.18            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.77/47.18    (31)  op1(e14, e10) = all_14_20
% 240.77/47.18    (32)   ~ (all_14_20 = e12)
% 240.77/47.18    (33)  op1(e13, e10) = e13
% 240.77/47.18    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.18    (35)  op1(unit1, e14) = e14
% 240.77/47.18    (36)  op1(e11, unit1) = e11
% 240.77/47.18    (37)  op1(unit1, e12) = e12
% 240.77/47.18    (38)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.18            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.18            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.18    (39)  op1(e10, e11) = all_14_19
% 240.77/47.18    (40)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.18              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.18            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.18    (41)  op1(e13, e14) = e12
% 240.77/47.18    (42)   ~ (e14 = e12)
% 240.77/47.18    (43)  all_25_17 = e13
% 240.77/47.18  
% 240.77/47.18  Begin of proof
% 240.77/47.18  | 
% 240.77/47.18  | BETA: splitting (30) gives:
% 240.77/47.18  | 
% 240.77/47.18  | Case 1:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (44)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 240.77/47.18  | |           op1(e10, e13) = e14)
% 240.77/47.18  | | 
% 240.77/47.18  | | REF_CLOSE: (1), (11), (13), (17), (19), (44) are inconsistent by sub-proof
% 240.77/47.18  | |            #1210.
% 240.77/47.18  | | 
% 240.77/47.18  | Case 2:
% 240.77/47.18  | | 
% 240.77/47.18  | |   (45)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 240.77/47.18  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 240.77/47.18  | | 
% 240.77/47.18  | | BETA: splitting (45) gives:
% 240.77/47.18  | | 
% 240.77/47.18  | | Case 1:
% 240.77/47.18  | | | 
% 240.77/47.18  | | |   (46)  all_25_22 = e14 & op1(e10, e12) = e14
% 240.77/47.18  | | | 
% 240.77/47.18  | | | ALPHA: (46) implies:
% 240.77/47.18  | | |   (47)  op1(e10, e12) = e14
% 240.77/47.18  | | | 
% 240.77/47.18  | | | REF_CLOSE: (4), (12), (13), (14), (15), (17), (20), (21), (22), (24),
% 240.77/47.18  | | |            (34), (35), (37), (47) are inconsistent by sub-proof #71.
% 240.77/47.18  | | | 
% 240.77/47.18  | | Case 2:
% 240.77/47.18  | | | 
% 240.77/47.18  | | |   (48)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 240.77/47.18  | | |           op1(e10, e10) = e14)
% 240.77/47.18  | | | 
% 240.77/47.18  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 240.77/47.18  | | |            (15), (16), (17), (18), (20), (22), (23), (25), (26), (27),
% 240.77/47.18  | | |            (28), (29), (31), (32), (33), (34), (36), (38), (39), (40),
% 240.77/47.18  | | |            (41), (42), (43), (48) are inconsistent by sub-proof #67.
% 240.77/47.18  | | | 
% 240.77/47.18  | | End of split
% 240.77/47.18  | | 
% 240.77/47.18  | End of split
% 240.77/47.18  | 
% 240.77/47.18  End of proof
% 240.77/47.18  
% 240.77/47.18  Sub-proof #67 shows that the following formulas are inconsistent:
% 240.77/47.18  ----------------------------------------------------------------
% 240.77/47.18    (1)   ~ (e14 = e10)
% 240.77/47.18    (2)  all_25_2 = e12
% 240.77/47.18    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.18           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.18           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.18    (4)  op1(e14, unit1) = e14
% 240.77/47.18    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.18           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.18           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.18    (6)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.18             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.18           e10 & op1(e11, e10) = e10)
% 240.77/47.18    (7)   ~ (e12 = e11)
% 240.77/47.18    (8)   ~ (e14 = e11)
% 240.77/47.18    (9)  all_25_3 = e11
% 240.77/47.18    (10)   ~ (e13 = e10)
% 240.77/47.18    (11)   ~ (e14 = e13)
% 240.77/47.18    (12)  op1(e13, unit1) = e13
% 240.77/47.18    (13)  op1(e13, e11) = e14
% 240.77/47.18    (14)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.18              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.18            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.18    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.18            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.18    (16)   ~ (e13 = e11)
% 240.77/47.19    (17)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 240.77/47.19              e10) = e14)
% 240.77/47.19    (18)  op1(e13, e12) = e10
% 240.77/47.19    (19)  op1(e12, unit1) = e12
% 240.77/47.19    (20)   ~ (e11 = e10)
% 240.77/47.19    (21)   ~ (e13 = e12)
% 240.77/47.19    (22)  op1(e13, e13) = e11
% 240.77/47.19    (23)   ~ (e12 = e10)
% 240.77/47.19    (24)   ~ (all_14_19 = e14)
% 240.77/47.19    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.19            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.19            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.19    (26)  op1(e14, e10) = all_14_20
% 240.77/47.19    (27)   ~ (all_14_20 = e12)
% 240.77/47.19    (28)  op1(e13, e10) = e13
% 240.77/47.19    (29)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.19    (30)  op1(e11, unit1) = e11
% 240.77/47.19    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.19            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.19            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.19    (32)  op1(e10, e11) = all_14_19
% 240.77/47.19    (33)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.19              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.19            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.19    (34)  op1(e13, e14) = e12
% 240.77/47.19    (35)   ~ (e14 = e12)
% 240.77/47.19    (36)  all_25_17 = e13
% 240.77/47.19  
% 240.77/47.19  Begin of proof
% 240.77/47.19  | 
% 240.77/47.19  | BETA: splitting (17) gives:
% 240.77/47.19  | 
% 240.77/47.19  | Case 1:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (37)  all_25_23 = e14 & op1(e10, e11) = e14
% 240.77/47.19  | | 
% 240.77/47.19  | | ALPHA: (37) implies:
% 240.77/47.19  | |   (38)  op1(e10, e11) = e14
% 240.77/47.19  | | 
% 240.77/47.19  | | REF_CLOSE: (15), (24), (32), (38) are inconsistent by sub-proof #1257.
% 240.77/47.19  | | 
% 240.77/47.19  | Case 2:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (39)  all_25_24 = e14 & op1(e10, e10) = e14
% 240.77/47.19  | | 
% 240.77/47.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.77/47.19  | |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (23), (25),
% 240.77/47.19  | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36), (39)
% 240.77/47.19  | |            are inconsistent by sub-proof #68.
% 240.77/47.19  | | 
% 240.77/47.19  | End of split
% 240.77/47.19  | 
% 240.77/47.19  End of proof
% 240.77/47.19  
% 240.77/47.19  Sub-proof #68 shows that the following formulas are inconsistent:
% 240.77/47.19  ----------------------------------------------------------------
% 240.77/47.19    (1)  all_25_24 = e14 & op1(e10, e10) = e14
% 240.77/47.19    (2)   ~ (e14 = e10)
% 240.77/47.19    (3)  all_25_2 = e12
% 240.77/47.19    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.19           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.19           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.19    (5)  op1(e14, unit1) = e14
% 240.77/47.19    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.19           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.19           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.19    (7)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.19             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.19           e10 & op1(e11, e10) = e10)
% 240.77/47.19    (8)   ~ (e12 = e11)
% 240.77/47.19    (9)   ~ (e14 = e11)
% 240.77/47.19    (10)  all_25_3 = e11
% 240.77/47.19    (11)   ~ (e13 = e10)
% 240.77/47.19    (12)   ~ (e14 = e13)
% 240.77/47.19    (13)  op1(e13, unit1) = e13
% 240.77/47.19    (14)  op1(e13, e11) = e14
% 240.77/47.19    (15)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.19              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.19            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.19    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.19            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.19    (17)   ~ (e13 = e11)
% 240.77/47.19    (18)  op1(e13, e12) = e10
% 240.77/47.19    (19)  op1(e12, unit1) = e12
% 240.77/47.19    (20)   ~ (e11 = e10)
% 240.77/47.19    (21)   ~ (e13 = e12)
% 240.77/47.19    (22)  op1(e13, e13) = e11
% 240.77/47.19    (23)   ~ (e12 = e10)
% 240.77/47.19    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.19            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.19            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.19    (25)  op1(e14, e10) = all_14_20
% 240.77/47.19    (26)   ~ (all_14_20 = e12)
% 240.77/47.19    (27)  op1(e13, e10) = e13
% 240.77/47.19    (28)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.19    (29)  op1(e11, unit1) = e11
% 240.77/47.19    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.19            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.19            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.19    (31)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.19              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.19            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.19    (32)  op1(e13, e14) = e12
% 240.77/47.19    (33)   ~ (e14 = e12)
% 240.77/47.19    (34)  all_25_17 = e13
% 240.77/47.19  
% 240.77/47.19  Begin of proof
% 240.77/47.19  | 
% 240.77/47.19  | ALPHA: (1) implies:
% 240.77/47.19  |   (35)  all_25_24 = e14
% 240.77/47.19  | 
% 240.77/47.19  | BETA: splitting (31) gives:
% 240.77/47.19  | 
% 240.77/47.19  | Case 1:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (36)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 240.77/47.19  | |           op1(e13, e10) = e12)
% 240.77/47.19  | | 
% 240.77/47.19  | | REF_CLOSE: (16), (21), (25), (26), (27), (36) are inconsistent by sub-proof
% 240.77/47.19  | |            #145.
% 240.77/47.19  | | 
% 240.77/47.19  | Case 2:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (37)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 240.77/47.19  | |           op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.19  | | 
% 240.77/47.19  | | BETA: splitting (37) gives:
% 240.77/47.19  | | 
% 240.77/47.19  | | Case 1:
% 240.77/47.19  | | | 
% 240.77/47.19  | | |   (38)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.77/47.19  | | | 
% 240.77/47.19  | | | ALPHA: (38) implies:
% 240.77/47.19  | | |   (39)  all_25_18 = e12
% 240.77/47.19  | | |   (40)  op1(e12, e10) = e12
% 240.77/47.19  | | | 
% 240.77/47.19  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 240.77/47.19  | | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 240.77/47.19  | | |            (28), (30), (32), (33), (34), (35), (39), (40) are inconsistent
% 240.77/47.19  | | |            by sub-proof #70.
% 240.77/47.19  | | | 
% 240.77/47.19  | | Case 2:
% 240.77/47.19  | | | 
% 240.77/47.19  | | |   (41)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 240.77/47.19  | | |           op1(e10, e10) = e12)
% 240.77/47.19  | | | 
% 240.77/47.19  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 240.77/47.19  | | |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 240.77/47.19  | | |            (28), (29), (30), (32), (33), (35), (41) are inconsistent by
% 240.77/47.19  | | |            sub-proof #69.
% 240.77/47.19  | | | 
% 240.77/47.19  | | End of split
% 240.77/47.19  | | 
% 240.77/47.19  | End of split
% 240.77/47.19  | 
% 240.77/47.19  End of proof
% 240.77/47.19  
% 240.77/47.19  Sub-proof #69 shows that the following formulas are inconsistent:
% 240.77/47.19  ----------------------------------------------------------------
% 240.77/47.19    (1)   ~ (e14 = e10)
% 240.77/47.19    (2)  all_25_2 = e12
% 240.77/47.19    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.19           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.19           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.19    (4)  op1(e14, unit1) = e14
% 240.77/47.19    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.19           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.19           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.19    (6)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.19             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.19           e10 & op1(e11, e10) = e10)
% 240.77/47.19    (7)   ~ (e12 = e11)
% 240.77/47.19    (8)   ~ (e14 = e11)
% 240.77/47.19    (9)  all_25_3 = e11
% 240.77/47.19    (10)   ~ (e13 = e10)
% 240.77/47.19    (11)   ~ (e14 = e13)
% 240.77/47.19    (12)  op1(e13, unit1) = e13
% 240.77/47.19    (13)  op1(e13, e11) = e14
% 240.77/47.19    (14)  all_25_24 = e14
% 240.77/47.19    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.19            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.19    (16)   ~ (e13 = e11)
% 240.77/47.19    (17)  op1(e13, e12) = e10
% 240.77/47.19    (18)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10,
% 240.77/47.19              e10) = e12)
% 240.77/47.19    (19)  op1(e12, unit1) = e12
% 240.77/47.19    (20)   ~ (e11 = e10)
% 240.77/47.19    (21)   ~ (e13 = e12)
% 240.77/47.19    (22)  op1(e13, e13) = e11
% 240.77/47.19    (23)   ~ (e12 = e10)
% 240.77/47.19    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.19            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.19            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.19    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.19    (26)  op1(e11, unit1) = e11
% 240.77/47.19    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.19            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.19            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.19    (28)  op1(e13, e14) = e12
% 240.77/47.19    (29)   ~ (e14 = e12)
% 240.77/47.19  
% 240.77/47.19  Begin of proof
% 240.77/47.19  | 
% 240.77/47.19  | BETA: splitting (18) gives:
% 240.77/47.19  | 
% 240.77/47.19  | Case 1:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (30)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.77/47.19  | | 
% 240.77/47.19  | | ALPHA: (30) implies:
% 240.77/47.19  | |   (31)  all_25_19 = e12
% 240.77/47.19  | |   (32)  op1(e11, e10) = e12
% 240.77/47.19  | | 
% 240.77/47.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.77/47.19  | |            (13), (15), (16), (17), (19), (20), (21), (22), (23), (24), (25),
% 240.77/47.19  | |            (26), (27), (28), (29), (31), (32) are inconsistent by sub-proof
% 240.77/47.19  | |            #139.
% 240.77/47.19  | | 
% 240.77/47.19  | Case 2:
% 240.77/47.19  | | 
% 240.77/47.19  | |   (33)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.77/47.19  | | 
% 240.77/47.19  | | ALPHA: (33) implies:
% 240.77/47.19  | |   (34)  all_25_24 = e12
% 240.77/47.19  | | 
% 240.77/47.19  | | COMBINE_EQS: (14), (34) imply:
% 240.77/47.19  | |   (35)  e14 = e12
% 240.77/47.19  | | 
% 240.77/47.19  | | REDUCE: (29), (35) imply:
% 240.77/47.19  | |   (36)  $false
% 240.77/47.19  | | 
% 240.77/47.19  | | CLOSE: (36) is inconsistent.
% 240.77/47.19  | | 
% 240.77/47.19  | End of split
% 240.77/47.19  | 
% 240.77/47.19  End of proof
% 240.77/47.19  
% 240.77/47.19  Sub-proof #70 shows that the following formulas are inconsistent:
% 240.77/47.19  ----------------------------------------------------------------
% 240.77/47.19    (1)   ~ (e14 = e10)
% 240.77/47.19    (2)  all_25_2 = e12
% 240.77/47.19    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.19           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.19           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.19    (4)  op1(e14, unit1) = e14
% 240.77/47.19    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.19           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.19           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.19    (6)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 240.77/47.19             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 240.77/47.19           e10 & op1(e11, e10) = e10)
% 240.77/47.19    (7)   ~ (e12 = e11)
% 240.77/47.19    (8)   ~ (e14 = e11)
% 240.77/47.19    (9)  all_25_3 = e11
% 240.77/47.19    (10)   ~ (e13 = e10)
% 240.77/47.19    (11)   ~ (e14 = e13)
% 240.77/47.19    (12)  op1(e12, e10) = e12
% 240.77/47.19    (13)  op1(e13, unit1) = e13
% 240.77/47.19    (14)  op1(e13, e11) = e14
% 240.77/47.19    (15)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.19              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.19            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.19    (16)  all_25_24 = e14
% 240.77/47.19    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.19            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.20    (18)   ~ (e13 = e11)
% 240.77/47.20    (19)  op1(e13, e12) = e10
% 240.77/47.20    (20)   ~ (e11 = e10)
% 240.77/47.20    (21)   ~ (e13 = e12)
% 240.77/47.20    (22)  op1(e13, e13) = e11
% 240.77/47.20    (23)   ~ (e12 = e10)
% 240.77/47.20    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.20            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.20            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.20    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.20    (26)  all_25_18 = e12
% 240.77/47.20    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.20            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.20            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.20    (28)  op1(e13, e14) = e12
% 240.77/47.20    (29)   ~ (e14 = e12)
% 240.77/47.20    (30)  all_25_17 = e13
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | BETA: splitting (15) gives:
% 240.77/47.20  | 
% 240.77/47.20  | Case 1:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (31)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 240.77/47.20  | |           op1(e13, e10) = e11)
% 240.77/47.20  | | 
% 240.77/47.20  | | BETA: splitting (31) gives:
% 240.77/47.20  | | 
% 240.77/47.20  | | Case 1:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (32)  all_25_16 = e11 & op1(e14, e10) = e11
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (4), (8), (10), (11), (13), (14), (17), (19), (21), (25), (28),
% 240.77/47.20  | | |            (32) are inconsistent by sub-proof #124.
% 240.77/47.20  | | | 
% 240.77/47.20  | | Case 2:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (33)  all_25_17 = e11 & op1(e13, e10) = e11
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (18), (30), (33) are inconsistent by sub-proof #940.
% 240.77/47.20  | | | 
% 240.77/47.20  | | End of split
% 240.77/47.20  | | 
% 240.77/47.20  | Case 2:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (34)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 240.77/47.20  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.20  | | 
% 240.77/47.20  | | BETA: splitting (34) gives:
% 240.77/47.20  | | 
% 240.77/47.20  | | Case 1:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (35)  all_25_18 = e11 & op1(e12, e10) = e11
% 240.77/47.20  | | | 
% 240.77/47.20  | | | ALPHA: (35) implies:
% 240.77/47.20  | | |   (36)  op1(e12, e10) = e11
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (7), (12), (17), (36) are inconsistent by sub-proof #926.
% 240.77/47.20  | | | 
% 240.77/47.20  | | Case 2:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (37)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 240.77/47.20  | | |           op1(e10, e10) = e11)
% 240.77/47.20  | | | 
% 240.77/47.20  | | | BETA: splitting (37) gives:
% 240.77/47.20  | | | 
% 240.77/47.20  | | | Case 1:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (38)  all_25_19 = e11 & op1(e11, e10) = e11
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 240.77/47.20  | | | |            (13), (14), (17), (18), (19), (20), (21), (22), (23), (24),
% 240.77/47.20  | | | |            (25), (26), (27), (28), (29), (38) are inconsistent by
% 240.77/47.20  | | | |            sub-proof #112.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | Case 2:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (39)  all_25_24 = e11 & op1(e10, e10) = e11
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | ALPHA: (39) implies:
% 240.77/47.20  | | | |   (40)  all_25_24 = e11
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | COMBINE_EQS: (16), (40) imply:
% 240.77/47.20  | | | |   (41)  e14 = e11
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (8), (41) imply:
% 240.77/47.20  | | | |   (42)  $false
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | CLOSE: (42) is inconsistent.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | End of split
% 240.77/47.20  | | | 
% 240.77/47.20  | | End of split
% 240.77/47.20  | | 
% 240.77/47.20  | End of split
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #71 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)  op1(e10, e14) = e10
% 240.77/47.20    (2)   ~ (e13 = e10)
% 240.77/47.20    (3)  op1(e10, e12) = e14
% 240.77/47.20    (4)   ~ (e14 = e13)
% 240.77/47.20    (5)  op1(e13, unit1) = e13
% 240.77/47.20    (6)  op1(e13, e11) = e14
% 240.77/47.20    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.20           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.20    (8)  op1(e13, e12) = e10
% 240.77/47.20    (9)   ~ (all_14_2 = e12)
% 240.77/47.20    (10)  op1(e12, unit1) = e12
% 240.77/47.20    (11)  op1(e12, e14) = all_14_2
% 240.77/47.20    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.20    (13)  op1(unit1, e14) = e14
% 240.77/47.20    (14)  op1(unit1, e12) = e12
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | BETA: splitting (12) gives:
% 240.77/47.20  | 
% 240.77/47.20  | Case 1:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (15)  unit1 = e14
% 240.77/47.20  | | 
% 240.77/47.20  | | REDUCE: (10), (15) imply:
% 240.77/47.20  | |   (16)  op1(e12, e14) = e12
% 240.77/47.20  | | 
% 240.77/47.20  | | REF_CLOSE: (7), (9), (11), (16) are inconsistent by sub-proof #73.
% 240.77/47.20  | | 
% 240.77/47.20  | Case 2:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (17)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.20  | | 
% 240.77/47.20  | | BETA: splitting (17) gives:
% 240.77/47.20  | | 
% 240.77/47.20  | | Case 1:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (18)  unit1 = e12
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REDUCE: (5), (18) imply:
% 240.77/47.20  | | |   (19)  op1(e13, e12) = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (2), (7), (8), (19) are inconsistent by sub-proof #1334.
% 240.77/47.20  | | | 
% 240.77/47.20  | | Case 2:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (20)   ~ (unit1 = e12)
% 240.77/47.20  | | |   (21)  unit1 = e11 | unit1 = e10
% 240.77/47.20  | | | 
% 240.77/47.20  | | | BETA: splitting (21) gives:
% 240.77/47.20  | | | 
% 240.77/47.20  | | | Case 1:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (22)  unit1 = e11
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (5), (22) imply:
% 240.77/47.20  | | | |   (23)  op1(e13, e11) = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REF_CLOSE: (4), (6), (7), (23) are inconsistent by sub-proof #1333.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | Case 2:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (24)  unit1 = e10
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (20), (24) imply:
% 240.77/47.20  | | | |   (25)   ~ (e12 = e10)
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | SIMP: (25) implies:
% 240.77/47.20  | | | |   (26)   ~ (e12 = e10)
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (13), (24) imply:
% 240.77/47.20  | | | |   (27)  op1(e10, e14) = e14
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (14), (24) imply:
% 240.77/47.20  | | | |   (28)  op1(e10, e12) = e12
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REF_CLOSE: (1), (3), (7), (26), (27), (28) are inconsistent by sub-proof
% 240.77/47.20  | | | |            #72.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | End of split
% 240.77/47.20  | | | 
% 240.77/47.20  | | End of split
% 240.77/47.20  | | 
% 240.77/47.20  | End of split
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #72 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)  op1(e10, e14) = e10
% 240.77/47.20    (2)  op1(e10, e12) = e12
% 240.77/47.20    (3)  op1(e10, e14) = e14
% 240.77/47.20    (4)  op1(e10, e12) = e14
% 240.77/47.20    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.20           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.20    (6)   ~ (e12 = e10)
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | GROUND_INST: instantiating (5) with e14, e12, e12, e10, simplifying with (2),
% 240.77/47.20  |              (4) gives:
% 240.77/47.20  |   (7)  e14 = e12
% 240.77/47.20  | 
% 240.77/47.20  | GROUND_INST: instantiating (5) with e10, e14, e14, e10, simplifying with (1),
% 240.77/47.20  |              (3) gives:
% 240.77/47.20  |   (8)  e14 = e10
% 240.77/47.20  | 
% 240.77/47.20  | COMBINE_EQS: (7), (8) imply:
% 240.77/47.20  |   (9)  e12 = e10
% 240.77/47.20  | 
% 240.77/47.20  | SIMP: (9) implies:
% 240.77/47.20  |   (10)  e12 = e10
% 240.77/47.20  | 
% 240.77/47.20  | REDUCE: (6), (10) imply:
% 240.77/47.20  |   (11)  $false
% 240.77/47.20  | 
% 240.77/47.20  | CLOSE: (11) is inconsistent.
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #73 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.20           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.20    (2)  op1(e12, e14) = all_14_2
% 240.77/47.20    (3)  op1(e12, e14) = e12
% 240.77/47.20    (4)   ~ (all_14_2 = e12)
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | GROUND_INST: instantiating (1) with all_14_2, e12, e14, e12, simplifying with
% 240.77/47.20  |              (2), (3) gives:
% 240.77/47.20  |   (5)  all_14_2 = e12
% 240.77/47.20  | 
% 240.77/47.20  | REDUCE: (4), (5) imply:
% 240.77/47.20  |   (6)  $false
% 240.77/47.20  | 
% 240.77/47.20  | CLOSE: (6) is inconsistent.
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #74 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)  op1(e12, e13) = all_14_7
% 240.77/47.20    (2)   ~ (e14 = e10)
% 240.77/47.20    (3)  op1(e10, e13) = all_14_9
% 240.77/47.20    (4)  all_25_2 = e12
% 240.77/47.20    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.20           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.20           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.20    (6)  all_25_1 = e12
% 240.77/47.20    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.20           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.20           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.20    (8)   ~ (all_14_7 = e12)
% 240.77/47.20    (9)   ~ (all_14_7 = e11)
% 240.77/47.20    (10)   ~ (e12 = e11)
% 240.77/47.20    (11)   ~ (e14 = e11)
% 240.77/47.20    (12)  all_25_3 = e11
% 240.77/47.20    (13)   ~ (e13 = e10)
% 240.77/47.20    (14)   ~ (e14 = e13)
% 240.77/47.20    (15)  op1(e13, unit1) = e13
% 240.77/47.20    (16)  op1(e13, e11) = e14
% 240.77/47.20    (17)  op1(e11, e13) = all_14_8
% 240.77/47.20    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.20            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.20    (19)   ~ (e13 = e11)
% 240.77/47.20    (20)  op1(e13, e12) = e10
% 240.77/47.20    (21)   ~ (all_14_8 = e13)
% 240.77/47.20    (22)   ~ (e11 = e10)
% 240.77/47.20    (23)  op1(unit1, e13) = e13
% 240.77/47.20    (24)   ~ (e13 = e12)
% 240.77/47.20    (25)  op1(e13, e13) = e11
% 240.77/47.20    (26)   ~ (e12 = e10)
% 240.77/47.20    (27)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.20            = e13) | (all_25_7 = e13 & op1(e12, e13) = e13) | (all_25_13 = e13 &
% 240.77/47.20            op1(e11, e13) = e13) | (all_25_21 = e13 & op1(e10, e13) = e13)
% 240.77/47.20    (28)   ~ (all_14_7 = all_14_9)
% 240.77/47.20    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.20            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.20            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.20    (30)  op1(e10, unit1) = e10
% 240.77/47.20    (31)   ~ (all_14_9 = all_14_19)
% 240.77/47.20    (32)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.20    (33)   ~ (all_14_9 = e13)
% 240.77/47.20    (34)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.77/47.20            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.77/47.20            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.77/47.20    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.20            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.20            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.20    (36)  op1(e10, e11) = all_14_19
% 240.77/47.20    (37)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.20            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.77/47.20            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.77/47.20    (38)  op1(e13, e14) = e12
% 240.77/47.20    (39)   ~ (e14 = e12)
% 240.77/47.20    (40)  all_25_17 = e13
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | BETA: splitting (27) gives:
% 240.77/47.20  | 
% 240.77/47.20  | Case 1:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (41)  (all_25_1 = e13 & op1(e14, e13) = e13) | (all_25_3 = e13 & op1(e13,
% 240.77/47.20  | |             e13) = e13)
% 240.77/47.20  | | 
% 240.77/47.20  | | BETA: splitting (41) gives:
% 240.77/47.20  | | 
% 240.77/47.20  | | Case 1:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (42)  all_25_1 = e13 & op1(e14, e13) = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (6), (24), (42) are inconsistent by sub-proof #1293.
% 240.77/47.20  | | | 
% 240.77/47.20  | | Case 2:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (43)  all_25_3 = e13 & op1(e13, e13) = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (18), (19), (25), (43) are inconsistent by sub-proof #1335.
% 240.77/47.20  | | | 
% 240.77/47.20  | | End of split
% 240.77/47.20  | | 
% 240.77/47.20  | Case 2:
% 240.77/47.20  | | 
% 240.77/47.20  | |   (44)  (all_25_7 = e13 & op1(e12, e13) = e13) | (all_25_13 = e13 & op1(e11,
% 240.77/47.20  | |             e13) = e13) | (all_25_21 = e13 & op1(e10, e13) = e13)
% 240.77/47.20  | | 
% 240.77/47.20  | | BETA: splitting (44) gives:
% 240.77/47.20  | | 
% 240.77/47.20  | | Case 1:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (45)  all_25_7 = e13 & op1(e12, e13) = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | ALPHA: (45) implies:
% 240.77/47.20  | | |   (46)  all_25_7 = e13
% 240.77/47.20  | | |   (47)  op1(e12, e13) = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | GROUND_INST: instantiating (18) with all_14_7, e13, e13, e12, simplifying
% 240.77/47.20  | | |              with (1), (47) gives:
% 240.77/47.20  | | |   (48)  all_14_7 = e13
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REDUCE: (28), (48) imply:
% 240.77/47.20  | | |   (49)   ~ (all_14_9 = e13)
% 240.77/47.20  | | | 
% 240.77/47.20  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (14),
% 240.77/47.20  | | |            (15), (16), (18), (19), (20), (22), (23), (24), (25), (26),
% 240.77/47.20  | | |            (29), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 240.77/47.20  | | |            (39), (40), (46) are inconsistent by sub-proof #160.
% 240.77/47.20  | | | 
% 240.77/47.20  | | Case 2:
% 240.77/47.20  | | | 
% 240.77/47.20  | | |   (50)  (all_25_13 = e13 & op1(e11, e13) = e13) | (all_25_21 = e13 &
% 240.77/47.20  | | |           op1(e10, e13) = e13)
% 240.77/47.20  | | | 
% 240.77/47.20  | | | BETA: splitting (50) gives:
% 240.77/47.20  | | | 
% 240.77/47.20  | | | Case 1:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (51)  all_25_13 = e13 & op1(e11, e13) = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | ALPHA: (51) implies:
% 240.77/47.20  | | | |   (52)  op1(e11, e13) = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | GROUND_INST: instantiating (18) with all_14_8, e13, e13, e11,
% 240.77/47.20  | | | |              simplifying with (17), (52) gives:
% 240.77/47.20  | | | |   (53)  all_14_8 = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (21), (53) imply:
% 240.77/47.20  | | | |   (54)  $false
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | CLOSE: (54) is inconsistent.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | Case 2:
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | |   (55)  all_25_21 = e13 & op1(e10, e13) = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | ALPHA: (55) implies:
% 240.77/47.20  | | | |   (56)  op1(e10, e13) = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | GROUND_INST: instantiating (18) with all_14_9, e13, e13, e10,
% 240.77/47.20  | | | |              simplifying with (3), (56) gives:
% 240.77/47.20  | | | |   (57)  all_14_9 = e13
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | REDUCE: (33), (57) imply:
% 240.77/47.20  | | | |   (58)  $false
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | | CLOSE: (58) is inconsistent.
% 240.77/47.20  | | | | 
% 240.77/47.20  | | | End of split
% 240.77/47.20  | | | 
% 240.77/47.20  | | End of split
% 240.77/47.20  | | 
% 240.77/47.20  | End of split
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #75 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)  all_25_24 = e12
% 240.77/47.20    (2)  all_25_24 = e11
% 240.77/47.20    (3)   ~ (e12 = e11)
% 240.77/47.20  
% 240.77/47.20  Begin of proof
% 240.77/47.20  | 
% 240.77/47.20  | COMBINE_EQS: (1), (2) imply:
% 240.77/47.20  |   (4)  e12 = e11
% 240.77/47.20  | 
% 240.77/47.20  | SIMP: (4) implies:
% 240.77/47.20  |   (5)  e12 = e11
% 240.77/47.20  | 
% 240.77/47.20  | REDUCE: (3), (5) imply:
% 240.77/47.20  |   (6)  $false
% 240.77/47.20  | 
% 240.77/47.20  | CLOSE: (6) is inconsistent.
% 240.77/47.20  | 
% 240.77/47.20  End of proof
% 240.77/47.20  
% 240.77/47.20  Sub-proof #76 shows that the following formulas are inconsistent:
% 240.77/47.20  ----------------------------------------------------------------
% 240.77/47.20    (1)   ~ (all_14_10 = e10)
% 240.77/47.21    (2)  op1(e10, e12) = e14
% 240.77/47.21    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.21           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.21    (4)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 240.77/47.21         op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 240.77/47.21           e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 240.77/47.21         $i(all_23_54) & $i(all_23_55)
% 240.77/47.21    (5)  op1(e14, e12) = all_14_10
% 240.77/47.21  
% 240.77/47.21  Begin of proof
% 240.77/47.21  | 
% 240.77/47.21  | ALPHA: (4) implies:
% 240.77/47.21  |   (6)  op1(e10, e12) = all_23_54
% 240.77/47.21  |   (7)  op1(all_23_54, e12) = e10
% 240.77/47.21  | 
% 240.77/47.21  | GROUND_INST: instantiating (3) with e14, all_23_54, e12, e10, simplifying with
% 240.77/47.21  |              (2), (6) gives:
% 240.77/47.21  |   (8)  all_23_54 = e14
% 240.77/47.21  | 
% 240.77/47.21  | REDUCE: (7), (8) imply:
% 240.77/47.21  |   (9)  op1(e14, e12) = e10
% 240.77/47.21  | 
% 240.77/47.21  | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #973.
% 240.77/47.21  | 
% 240.77/47.21  End of proof
% 240.77/47.21  
% 240.77/47.21  Sub-proof #77 shows that the following formulas are inconsistent:
% 240.77/47.21  ----------------------------------------------------------------
% 240.77/47.21    (1)   ~ (all_23_58 = all_23_59)
% 240.77/47.21    (2)  op1(e11, e10) = all_23_59
% 240.77/47.21    (3)  op1(e11, e10) = e10
% 240.77/47.21    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.21           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.21    (5)  op1(e10, e11) = all_23_58
% 240.77/47.21    (6)  op1(e10, e11) = e10
% 240.77/47.21  
% 240.77/47.21  Begin of proof
% 240.77/47.21  | 
% 240.77/47.21  | GROUND_INST: instantiating (4) with e10, all_23_58, e11, e10, simplifying with
% 240.77/47.21  |              (5), (6) gives:
% 240.77/47.21  |   (7)  all_23_58 = e10
% 240.77/47.21  | 
% 240.77/47.21  | GROUND_INST: instantiating (4) with e10, all_23_59, e10, e11, simplifying with
% 240.77/47.21  |              (2), (3) gives:
% 240.77/47.21  |   (8)  all_23_59 = e10
% 240.77/47.21  | 
% 240.77/47.21  | REDUCE: (1), (7), (8) imply:
% 240.77/47.21  |   (9)  $false
% 240.77/47.21  | 
% 240.77/47.21  | CLOSE: (9) is inconsistent.
% 240.77/47.21  | 
% 240.77/47.21  End of proof
% 240.77/47.21  
% 240.77/47.21  Sub-proof #78 shows that the following formulas are inconsistent:
% 240.77/47.21  ----------------------------------------------------------------
% 240.77/47.21    (1)   ~ (all_23_40 = all_23_41)
% 240.77/47.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.21           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.21    (3)  op1(e12, e11) = e12
% 240.77/47.21    (4)  op1(e11, e12) = all_23_40
% 240.77/47.21    (5)  op1(e11, e12) = e12
% 240.77/47.21    (6)  op1(e12, e11) = all_23_41
% 240.77/47.21  
% 240.77/47.21  Begin of proof
% 240.77/47.21  | 
% 240.77/47.21  | GROUND_INST: instantiating (2) with e12, all_23_40, e12, e11, simplifying with
% 240.77/47.21  |              (4), (5) gives:
% 240.77/47.21  |   (7)  all_23_40 = e12
% 240.77/47.21  | 
% 240.77/47.21  | GROUND_INST: instantiating (2) with e12, all_23_41, e11, e12, simplifying with
% 240.77/47.21  |              (3), (6) gives:
% 240.77/47.21  |   (8)  all_23_41 = e12
% 240.77/47.21  | 
% 240.77/47.21  | REDUCE: (1), (7), (8) imply:
% 240.77/47.21  |   (9)  $false
% 240.77/47.21  | 
% 240.77/47.21  | CLOSE: (9) is inconsistent.
% 240.77/47.21  | 
% 240.77/47.21  End of proof
% 240.77/47.21  
% 240.77/47.21  Sub-proof #79 shows that the following formulas are inconsistent:
% 240.77/47.21  ----------------------------------------------------------------
% 240.77/47.21    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.77/47.21             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.77/47.21           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.77/47.21    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 240.77/47.21             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 240.77/47.21           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.21    (3)  op1(e11, e10) = all_14_23
% 240.77/47.21    (4)   ~ (all_14_2 = e10)
% 240.77/47.21    (5)  op1(e12, e13) = all_14_7
% 240.77/47.21    (6)   ~ (e14 = e10)
% 240.77/47.21    (7)  op1(e10, e13) = all_14_9
% 240.77/47.21    (8)  all_25_2 = e12
% 240.77/47.21    (9)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.21    (10)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 240.77/47.21              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 240.77/47.21            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.77/47.21    (11)  all_25_1 = e12
% 240.77/47.21    (12)  op1(e14, unit1) = e14
% 240.77/47.21    (13)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 240.77/47.21              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 240.77/47.21            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 240.77/47.21    (14)  op1(e10, e14) = all_14_4
% 240.77/47.21    (15)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 240.77/47.21              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 240.77/47.21            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 240.77/47.21    (16)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.21            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.21            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.21    (17)   ~ (all_14_7 = e12)
% 240.77/47.21    (18)   ~ (e12 = e11)
% 240.77/47.21    (19)   ~ (e14 = e11)
% 240.77/47.21    (20)  all_25_3 = e11
% 240.77/47.21    (21)  op1(e10, e13) = e13
% 240.77/47.21    (22)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.77/47.21            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.77/47.21            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.77/47.21    (23)   ~ (e13 = e10)
% 240.77/47.21    (24)  op1(e11, e12) = all_14_13
% 240.77/47.21    (25)   ~ (e14 = e13)
% 240.77/47.21    (26)   ~ (all_14_4 = e12)
% 240.77/47.21    (27)   ~ (all_14_15 = e12)
% 240.77/47.21    (28)   ~ (all_14_17 = e14)
% 240.77/47.21    (29)   ~ (all_14_4 = e10)
% 240.77/47.21    (30)  op1(e14, e11) = all_14_15
% 240.77/47.21    (31)  op1(e13, unit1) = e13
% 240.77/47.21    (32)  op1(e13, e11) = e14
% 240.77/47.21    (33)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.21              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.21            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.21    (34)   ~ (all_14_23 = e13)
% 240.77/47.21    (35)  all_25_21 = e13
% 240.77/47.21    (36)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.21    (37)   ~ (e13 = e11)
% 240.77/47.21    (38)  op1(e13, e12) = e10
% 240.77/47.21    (39)   ~ (all_14_2 = e12)
% 240.77/47.21    (40)  all_25_12 = e13
% 240.77/47.21    (41)   ~ (all_14_3 = e12)
% 240.77/47.21    (42)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 240.77/47.21              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 240.77/47.21            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.77/47.21    (43)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 240.77/47.21              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 240.77/47.21            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.21    (44)   ~ (all_14_2 = all_14_4)
% 240.77/47.21    (45)  op1(e12, e11) = all_14_17
% 240.77/47.21    (46)   ~ (all_14_18 = e14)
% 240.77/47.21    (47)  op1(e12, unit1) = e12
% 240.77/47.21    (48)   ~ (e11 = e10)
% 240.77/47.21    (49)   ~ (all_14_13 = e10)
% 240.77/47.21    (50)  all_25_9 = e13
% 240.77/47.21    (51)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.77/47.21            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.77/47.21            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.77/47.21    (52)   ~ (all_14_18 = e10)
% 240.77/47.21    (53)  op1(e12, e14) = all_14_2
% 240.77/47.21    (54)   ~ (e13 = e12)
% 240.77/47.21    (55)  op1(e13, e13) = e11
% 240.77/47.21    (56)  all_25_23 = e10
% 240.77/47.21    (57)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 240.77/47.21              e13) = e14)
% 240.77/47.21    (58)  op1(e11, e14) = all_14_3
% 240.77/47.21    (59)   ~ (all_14_13 = e13)
% 240.77/47.21    (60)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.77/47.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.77/47.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.77/47.21    (61)   ~ (e12 = e10)
% 240.77/47.21    (62)  all_25_10 = e14
% 240.77/47.21    (63)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.77/47.21            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.77/47.21            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.77/47.21    (64)   ~ (all_14_9 = e12)
% 240.77/47.21    (65)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.77/47.21            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.77/47.21            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.77/47.21    (66)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.21    (67)  all_25_0 = e10
% 240.77/47.21    (68)  op1(e14, e10) = all_14_20
% 240.77/47.21    (69)   ~ (all_14_20 = e12)
% 240.77/47.21    (70)  op1(e13, e10) = e13
% 240.77/47.21    (71)   ~ (all_14_2 = e13)
% 240.77/47.21    (72)   ~ (all_14_4 = e13)
% 240.77/47.21    (73)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.21    (74)  op1(e14, e12) = all_14_10
% 240.77/47.21    (75)   ~ (all_14_10 = e12)
% 240.77/47.21    (76)  op1(e11, e11) = all_14_18
% 240.77/47.21    (77)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.77/47.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.77/47.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.77/47.21    (78)  all_25_8 = e13
% 240.77/47.21    (79)  op1(e11, unit1) = e11
% 240.77/47.21    (80)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.21    (81)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.77/47.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.77/47.21    (82)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.77/47.21            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.77/47.21            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.77/47.21    (83)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.21              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.21            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.21    (84)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.77/47.21            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.77/47.21            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.77/47.22    (85)  op1(e13, e14) = e12
% 240.77/47.22    (86)   ~ (e14 = e12)
% 240.77/47.22    (87)   ~ (all_14_18 = e13)
% 240.77/47.22    (88)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.77/47.22            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.77/47.22            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.77/47.22    (89)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.77/47.22            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.77/47.22            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.77/47.22    (90)  all_25_17 = e13
% 240.77/47.22  
% 240.77/47.22  Begin of proof
% 240.77/47.22  | 
% 240.77/47.22  | BETA: splitting (57) gives:
% 240.77/47.22  | 
% 240.77/47.22  | Case 1:
% 240.77/47.22  | | 
% 240.77/47.22  | |   (91)  all_25_20 = e14 & op1(e10, e14) = e14
% 240.77/47.22  | | 
% 240.77/47.22  | | ALPHA: (91) implies:
% 240.77/47.22  | |   (92)  all_25_20 = e14
% 240.77/47.22  | |   (93)  op1(e10, e14) = e14
% 240.77/47.22  | | 
% 240.77/47.22  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.77/47.22  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 240.77/47.22  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 240.77/47.22  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 240.77/47.22  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 240.77/47.22  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 240.77/47.22  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 240.77/47.22  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 240.77/47.22  | |            (92), (93) are inconsistent by sub-proof #80.
% 240.77/47.22  | | 
% 240.77/47.22  | Case 2:
% 240.77/47.22  | | 
% 240.77/47.22  | |   (94)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.77/47.22  | | 
% 240.77/47.22  | | ALPHA: (94) implies:
% 240.77/47.22  | |   (95)  op1(e10, e13) = e14
% 240.77/47.22  | | 
% 240.77/47.22  | | REF_CLOSE: (21), (25), (36), (95) are inconsistent by sub-proof #1274.
% 240.77/47.22  | | 
% 240.77/47.22  | End of split
% 240.77/47.22  | 
% 240.77/47.22  End of proof
% 240.77/47.22  
% 240.77/47.22  Sub-proof #80 shows that the following formulas are inconsistent:
% 240.77/47.22  ----------------------------------------------------------------
% 240.77/47.22    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 240.77/47.22             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 240.77/47.22           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.77/47.22    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 240.77/47.22             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 240.77/47.22           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.22    (3)  op1(e11, e10) = all_14_23
% 240.77/47.22    (4)   ~ (all_14_2 = e10)
% 240.77/47.22    (5)  op1(e12, e13) = all_14_7
% 240.77/47.22    (6)   ~ (e14 = e10)
% 240.77/47.22    (7)  op1(e10, e13) = all_14_9
% 240.77/47.22    (8)  all_25_2 = e12
% 240.77/47.22    (9)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.77/47.22           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.77/47.22           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.77/47.22    (10)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 240.77/47.22              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 240.77/47.22            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 240.77/47.22    (11)  all_25_1 = e12
% 240.77/47.22    (12)  op1(e14, unit1) = e14
% 240.77/47.22    (13)  all_25_20 = e14
% 240.77/47.22    (14)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 240.77/47.22              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 240.77/47.22            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 240.77/47.22    (15)  op1(e10, e14) = all_14_4
% 240.77/47.22    (16)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 240.77/47.22              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 240.77/47.22            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 240.77/47.22    (17)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.77/47.22            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.77/47.22            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.77/47.22    (18)   ~ (all_14_7 = e12)
% 240.77/47.22    (19)   ~ (e12 = e11)
% 240.77/47.22    (20)   ~ (e14 = e11)
% 240.77/47.22    (21)  all_25_3 = e11
% 240.77/47.22    (22)  op1(e10, e13) = e13
% 240.77/47.22    (23)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.77/47.22            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.77/47.22            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.77/47.22    (24)   ~ (e13 = e10)
% 240.77/47.22    (25)  op1(e10, e14) = e14
% 240.77/47.22    (26)  op1(e11, e12) = all_14_13
% 240.77/47.22    (27)   ~ (e14 = e13)
% 240.77/47.22    (28)   ~ (all_14_4 = e12)
% 240.77/47.22    (29)   ~ (all_14_15 = e12)
% 240.77/47.22    (30)   ~ (all_14_17 = e14)
% 240.77/47.22    (31)   ~ (all_14_4 = e10)
% 240.77/47.22    (32)  op1(e14, e11) = all_14_15
% 240.77/47.22    (33)  op1(e13, unit1) = e13
% 240.77/47.22    (34)  op1(e13, e11) = e14
% 240.77/47.22    (35)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 240.77/47.22              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 240.77/47.22            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.77/47.22    (36)   ~ (all_14_23 = e13)
% 240.77/47.22    (37)  all_25_21 = e13
% 240.77/47.22    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.77/47.22            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.77/47.22    (39)   ~ (e13 = e11)
% 240.77/47.22    (40)  op1(e13, e12) = e10
% 240.77/47.22    (41)   ~ (all_14_2 = e12)
% 240.77/47.22    (42)  all_25_12 = e13
% 240.77/47.22    (43)   ~ (all_14_3 = e12)
% 240.77/47.22    (44)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 240.77/47.22              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 240.77/47.22            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.77/47.22    (45)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 240.77/47.22              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 240.77/47.22            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.22    (46)   ~ (all_14_2 = all_14_4)
% 240.77/47.22    (47)  op1(e12, e11) = all_14_17
% 240.77/47.22    (48)   ~ (all_14_18 = e14)
% 240.77/47.22    (49)  op1(e12, unit1) = e12
% 240.77/47.22    (50)   ~ (e11 = e10)
% 240.77/47.22    (51)   ~ (all_14_13 = e10)
% 240.77/47.22    (52)  all_25_9 = e13
% 240.77/47.22    (53)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.77/47.22            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.77/47.22            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.77/47.22    (54)   ~ (all_14_18 = e10)
% 240.77/47.22    (55)  op1(e12, e14) = all_14_2
% 240.77/47.22    (56)   ~ (e13 = e12)
% 240.77/47.22    (57)  op1(e13, e13) = e11
% 240.77/47.22    (58)  all_25_23 = e10
% 240.77/47.22    (59)  op1(e11, e14) = all_14_3
% 240.77/47.22    (60)   ~ (all_14_13 = e13)
% 240.77/47.22    (61)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.77/47.22              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.77/47.22            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.77/47.22    (62)   ~ (e12 = e10)
% 240.77/47.22    (63)  all_25_10 = e14
% 240.77/47.22    (64)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.77/47.22            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.77/47.22            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.77/47.22    (65)   ~ (all_14_9 = e12)
% 240.77/47.22    (66)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.77/47.22            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.77/47.22            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.77/47.22    (67)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.77/47.22            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.77/47.22            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.77/47.22    (68)  all_25_0 = e10
% 240.77/47.22    (69)  op1(e14, e10) = all_14_20
% 240.77/47.22    (70)   ~ (all_14_20 = e12)
% 240.77/47.22    (71)  op1(e13, e10) = e13
% 240.77/47.22    (72)   ~ (all_14_2 = e13)
% 240.77/47.22    (73)   ~ (all_14_4 = e13)
% 240.77/47.22    (74)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 240.77/47.22    (75)  op1(e14, e12) = all_14_10
% 240.77/47.22    (76)   ~ (all_14_10 = e12)
% 240.77/47.22    (77)  op1(e11, e11) = all_14_18
% 240.77/47.22    (78)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.77/47.22            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.77/47.22            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.77/47.22    (79)  all_25_8 = e13
% 240.77/47.22    (80)  op1(e11, unit1) = e11
% 240.77/47.22    (81)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.22            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.77/47.22            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.77/47.22    (82)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.77/47.22            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.77/47.22            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.77/47.22    (83)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.77/47.22            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.77/47.22            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.77/47.22    (84)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 240.77/47.22              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 240.77/47.22            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.77/47.22    (85)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.77/47.22            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.77/47.22            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.77/47.22    (86)  op1(e13, e14) = e12
% 240.77/47.22    (87)   ~ (e14 = e12)
% 240.77/47.22    (88)   ~ (all_14_18 = e13)
% 240.77/47.22    (89)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.77/47.22            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.77/47.22            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.77/47.22    (90)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.77/47.22            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.77/47.22            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.77/47.22    (91)  all_25_17 = e13
% 240.77/47.22  
% 240.77/47.22  Begin of proof
% 240.77/47.22  | 
% 240.77/47.22  | BETA: splitting (66) gives:
% 240.77/47.22  | 
% 240.77/47.22  | Case 1:
% 240.77/47.22  | | 
% 240.77/47.22  | |   (92)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 240.77/47.22  | |             e14) = e11)
% 240.77/47.22  | | 
% 240.77/47.22  | | BETA: splitting (92) gives:
% 240.77/47.22  | | 
% 240.77/47.22  | | Case 1:
% 240.77/47.22  | | | 
% 240.77/47.23  | | |   (93)  all_25_0 = e11 & op1(e14, e14) = e11
% 240.77/47.23  | | | 
% 240.77/47.23  | | | REF_CLOSE: (50), (68), (93) are inconsistent by sub-proof #1222.
% 240.77/47.23  | | | 
% 240.77/47.23  | | Case 2:
% 240.77/47.23  | | | 
% 240.77/47.23  | | |   (94)  all_25_2 = e11 & op1(e13, e14) = e11
% 240.77/47.23  | | | 
% 240.77/47.23  | | | REF_CLOSE: (8), (19), (94) are inconsistent by sub-proof #1189.
% 240.77/47.23  | | | 
% 240.77/47.23  | | End of split
% 240.77/47.23  | | 
% 240.77/47.23  | Case 2:
% 240.77/47.23  | | 
% 240.77/47.23  | |   (95)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 240.77/47.23  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.77/47.23  | | 
% 240.77/47.23  | | BETA: splitting (95) gives:
% 240.77/47.23  | | 
% 240.77/47.23  | | Case 1:
% 240.77/47.23  | | | 
% 240.77/47.23  | | |   (96)  all_25_6 = e11 & op1(e12, e14) = e11
% 240.77/47.23  | | | 
% 240.77/47.23  | | | ALPHA: (96) implies:
% 240.77/47.23  | | |   (97)  all_25_6 = e11
% 240.77/47.23  | | |   (98)  op1(e12, e14) = e11
% 240.77/47.23  | | | 
% 240.77/47.23  | | | GROUND_INST: instantiating (38) with all_14_4, e14, e14, e10, simplifying
% 240.77/47.23  | | |              with (15), (25) gives:
% 240.77/47.23  | | |   (99)  all_14_4 = e14
% 240.77/47.23  | | | 
% 240.77/47.23  | | | GROUND_INST: instantiating (38) with all_14_2, e11, e14, e12, simplifying
% 240.77/47.23  | | |              with (55), (98) gives:
% 240.77/47.23  | | |   (100)  all_14_2 = e11
% 240.77/47.23  | | | 
% 240.77/47.23  | | | REDUCE: (46), (99), (100) imply:
% 240.77/47.23  | | |   (101)   ~ (e14 = e11)
% 240.77/47.23  | | | 
% 240.77/47.23  | | | REDUCE: (72), (100) imply:
% 240.77/47.23  | | |   (102)   ~ (e13 = e11)
% 240.77/47.23  | | | 
% 240.77/47.23  | | | REDUCE: (41), (100) imply:
% 240.77/47.23  | | |   (103)   ~ (e12 = e11)
% 240.77/47.23  | | | 
% 240.77/47.23  | | | BETA: splitting (10) gives:
% 240.77/47.23  | | | 
% 240.77/47.23  | | | Case 1:
% 240.77/47.23  | | | | 
% 240.77/47.23  | | | |   (104)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 &
% 240.77/47.23  | | | |            op1(e13, e11) = e11)
% 240.77/47.23  | | | | 
% 240.77/47.23  | | | | BETA: splitting (104) gives:
% 240.77/47.23  | | | | 
% 240.77/47.23  | | | | Case 1:
% 240.77/47.23  | | | | | 
% 240.93/47.23  | | | | |   (105)  all_25_9 = e11 & op1(e14, e11) = e11
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21), (22),
% 240.93/47.23  | | | | |            (24), (26), (27), (36), (37), (38), (39), (40), (42), (50),
% 240.93/47.23  | | | | |            (52), (56), (57), (60), (61), (62), (67), (77), (78), (81),
% 240.93/47.23  | | | | |            (82), (87), (88), (91), (105) are inconsistent by sub-proof
% 240.93/47.23  | | | | |            #920.
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | Case 2:
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | |   (106)  all_25_10 = e11 & op1(e13, e11) = e11
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | REF_CLOSE: (20), (63), (106) are inconsistent by sub-proof #984.
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | End of split
% 240.93/47.23  | | | | 
% 240.93/47.23  | | | Case 2:
% 240.93/47.23  | | | | 
% 240.93/47.23  | | | |   (107)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 240.93/47.23  | | | |            op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) =
% 240.93/47.23  | | | |            e11)
% 240.93/47.23  | | | | 
% 240.93/47.23  | | | | BETA: splitting (107) gives:
% 240.93/47.23  | | | | 
% 240.93/47.23  | | | | Case 1:
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | |   (108)  all_25_11 = e11 & op1(e12, e11) = e11
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | ALPHA: (108) implies:
% 240.93/47.23  | | | | |   (109)  all_25_11 = e11
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (11), (13), (17), (18), (19),
% 240.93/47.23  | | | | |            (20), (21), (22), (23), (24), (26), (27), (30), (34), (36),
% 240.93/47.23  | | | | |            (37), (38), (39), (40), (47), (50), (53), (56), (57), (60),
% 240.93/47.23  | | | | |            (61), (62), (66), (67), (68), (77), (78), (79), (81), (82),
% 240.93/47.23  | | | | |            (85), (87), (88), (89), (91), (97), (109) are inconsistent
% 240.93/47.23  | | | | |            by sub-proof #87.
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | Case 2:
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | |   (110)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 240.93/47.23  | | | | |            op1(e10, e11) = e11)
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | BETA: splitting (110) gives:
% 240.93/47.23  | | | | | 
% 240.93/47.23  | | | | | Case 1:
% 240.93/47.23  | | | | | | 
% 240.93/47.23  | | | | | |   (111)  all_25_15 = e11 & op1(e11, e11) = e11
% 240.93/47.23  | | | | | | 
% 240.93/47.23  | | | | | | ALPHA: (111) implies:
% 240.93/47.23  | | | | | |   (112)  all_25_15 = e11
% 240.93/47.23  | | | | | | 
% 240.93/47.23  | | | | | | BETA: splitting (14) gives:
% 240.93/47.23  | | | | | | 
% 240.93/47.23  | | | | | | Case 1:
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | |   (113)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12
% 240.93/47.23  | | | | | | |            & op1(e13, e11) = e12)
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | | REF_CLOSE: (29), (32), (34), (38), (87), (113) are inconsistent by
% 240.93/47.23  | | | | | | |            sub-proof #1223.
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | Case 2:
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | |   (114)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 240.93/47.23  | | | | | | |            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 240.93/47.23  | | | | | | |            op1(e10, e11) = e12)
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | | BETA: splitting (114) gives:
% 240.93/47.23  | | | | | | | 
% 240.93/47.23  | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | 
% 240.93/47.23  | | | | | | | |   (115)  all_25_11 = e12 & op1(e12, e11) = e12
% 240.93/47.23  | | | | | | | | 
% 240.93/47.23  | | | | | | | | ALPHA: (115) implies:
% 240.93/47.23  | | | | | | | |   (116)  all_25_11 = e12
% 240.93/47.23  | | | | | | | | 
% 240.93/47.23  | | | | | | | | BETA: splitting (45) gives:
% 240.93/47.23  | | | | | | | | 
% 240.93/47.23  | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | |   (117)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21
% 240.93/47.23  | | | | | | | | |            = e12 & op1(e10, e13) = e12)
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | BETA: splitting (117) gives:
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | |   (118)  all_25_20 = e12 & op1(e10, e14) = e12
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | ALPHA: (118) implies:
% 240.93/47.23  | | | | | | | | | |   (119)  all_25_20 = e12
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.23  | | | | | | | | | |            (22), (24), (26), (27), (34), (36), (37), (38),
% 240.93/47.23  | | | | | | | | | |            (39), (40), (50), (53), (56), (57), (60), (61),
% 240.93/47.23  | | | | | | | | | |            (62), (67), (68), (77), (78), (81), (82), (87),
% 240.93/47.23  | | | | | | | | | |            (88), (91), (97), (119) are inconsistent by
% 240.93/47.23  | | | | | | | | | |            sub-proof #930.
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | |   (120)  all_25_21 = e12 & op1(e10, e13) = e12
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | REF_CLOSE: (7), (38), (65), (120) are inconsistent by
% 240.93/47.23  | | | | | | | | | |            sub-proof #1265.
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | |   (121)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23
% 240.93/47.23  | | | | | | | | |            = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 240.93/47.23  | | | | | | | | |            op1(e10, e10) = e12)
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | BETA: splitting (121) gives:
% 240.93/47.23  | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | |   (122)  all_25_22 = e12 & op1(e10, e12) = e12
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | ALPHA: (122) implies:
% 240.93/47.23  | | | | | | | | | |   (123)  all_25_22 = e12
% 240.93/47.23  | | | | | | | | | |   (124)  op1(e10, e12) = e12
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | BETA: splitting (2) gives:
% 240.93/47.23  | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | |   (125)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 240.93/47.23  | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | BETA: splitting (125) gives:
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | |   (126)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | ALPHA: (126) implies:
% 240.93/47.23  | | | | | | | | | | | |   (127)  all_25_20 = e11
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | REF_CLOSE: (13), (20), (127) are inconsistent by sub-proof
% 240.93/47.23  | | | | | | | | | | | |            #1001.
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | |   (128)  all_25_21 = e11 & op1(e10, e13) = e11
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.23  | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.23  | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.23  | | | | | | | | | | | |            (67), (77), (78), (81), (82), (87), (88), (91),
% 240.93/47.23  | | | | | | | | | | | |            (128) are inconsistent by sub-proof #924.
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | |   (129)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 240.93/47.23  | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 240.93/47.23  | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | BETA: splitting (129) gives:
% 240.93/47.23  | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | |   (130)  all_25_22 = e11 & op1(e10, e12) = e11
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | ALPHA: (130) implies:
% 240.93/47.23  | | | | | | | | | | | |   (131)  op1(e10, e12) = e11
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | REF_CLOSE: (19), (38), (124), (131) are inconsistent by
% 240.93/47.23  | | | | | | | | | | | |            sub-proof #118.
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | |   (132)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 240.93/47.23  | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | BETA: splitting (132) gives:
% 240.93/47.23  | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | |   (133)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | ALPHA: (133) implies:
% 240.93/47.23  | | | | | | | | | | | | |   (134)  all_25_23 = e11
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | REF_CLOSE: (50), (58), (134) are inconsistent by sub-proof
% 240.93/47.23  | | | | | | | | | | | | |            #151.
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | |   (135)  all_25_24 = e11 & op1(e10, e10) = e11
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | ALPHA: (135) implies:
% 240.93/47.23  | | | | | | | | | | | | |   (136)  all_25_24 = e11
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | BETA: splitting (84) gives:
% 240.93/47.23  | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | |   (137)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 240.93/47.23  | | | | | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | REF_CLOSE: (38), (56), (69), (70), (71), (137) are
% 240.93/47.23  | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | |   (138)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 240.93/47.23  | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12) |
% 240.93/47.23  | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 240.93/47.23  | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | |   (139)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 240.93/47.23  | | | | | | | | | | | | | | |   (140)  all_25_18 = e12
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | |   (141)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 240.93/47.23  | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (142)  all_25_6 = e10 & op1(e12, e14) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (97), (142) are inconsistent by sub-proof
% 240.93/47.23  | | | | | | | | | | | | | | | | |            #1006.
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (143)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (144)  all_25_7 = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (21), (22), (23), (24), (26), (27), (30), (34),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (36), (37), (38), (39), (40), (47), (50), (53),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (56), (57), (60), (61), (62), (66), (67), (68),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (77), (78), (79), (81), (82), (87), (88), (91),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (97), (140), (144) are inconsistent by sub-proof
% 240.93/47.23  | | | | | | | | | | | | | | | | |            #88.
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | |   (145)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (146)  all_25_8 = e10 & op1(e12, e12) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (20), (21), (24), (27), (38), (39),
% 240.93/47.23  | | | | | | | | | | | | | | | | |            (40), (56), (57), (79), (81), (87), (91), (146)
% 240.93/47.23  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #486.
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (147)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (148)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (64), (67), (75), (76), (77), (78), (79), (81),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (82), (83), (87), (88), (90), (91), (116), (123),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (148) are inconsistent by sub-proof #86.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (149)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (150)  all_25_18 = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (150) imply:
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (151)  e12 = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (64), (67), (75), (76), (77), (78), (79), (81),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (82), (83), (87), (88), (90), (91), (123), (151)
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #85.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | |   (152)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 240.93/47.23  | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | |   (153)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 240.93/47.23  | | | | | | | | | | | | | | | |   (154)  all_25_19 = e12
% 240.93/47.23  | | | | | | | | | | | | | | | |   (155)  op1(e11, e10) = e12
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | |   (156)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (157)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (20), (21), (24), (27), (38), (39),
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            (40), (42), (56), (57), (81), (87), (91), (157)
% 240.93/47.23  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #93.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (158)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 240.93/47.23  | | | | | | | | | | | | | | | | | |   (159)  all_25_13 = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | |   (160)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 240.93/47.23  | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |   (161)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (34), (36), (37),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            (38), (39), (40), (50), (53), (56), (57), (60),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            (61), (62), (67), (68), (77), (78), (81), (82),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            (87), (88), (91), (97), (161) are inconsistent by
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            sub-proof #929.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |   (162)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (162) are inconsistent by sub-proof
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |            #1291.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | |   (163)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 240.93/47.23  | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 240.93/47.23  | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |   (164)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | |   (165)  all_25_7 = e14
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |   (166)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (34), (36), (37),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            (38), (39), (40), (50), (53), (56), (57), (60),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            (61), (62), (66), (67), (68), (77), (78), (81),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            (82), (87), (88), (91), (97), (165), (166) are
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #84.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |   (167)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | |   (168)  all_25_8 = e10 & op1(e12, e12) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (20), (21), (24), (27), (38), (39),
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | |            (40), (56), (57), (79), (81), (87), (91), (168)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #486.
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | |   (169)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (64), (67), (75), (76), (77), (78), (79), (81),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (87), (88), (90), (91), (116), (123),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (170) are inconsistent by sub-proof #86.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |   (172)  op1(e12, e10) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (33), (34), (38), (40), (49), (56),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            (74), (80), (86), (155), (172) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #140.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |   (173)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (34), (36), (37),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |            (38), (39), (40), (50), (53), (56), (57), (60),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |            (61), (62), (66), (67), (68), (77), (78), (81),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |            (82), (87), (88), (91), (159), (173) are
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #83.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (174)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (175)  all_25_14 = e10 & op1(e11, e12) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (176)  op1(e11, e12) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (38), (51), (176) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (177)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (178)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (54), (77), (178) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            sub-proof #92.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (179)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (180)  all_25_19 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (154), (180) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (181)  e12 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            (64), (67), (75), (76), (77), (78), (79), (81),
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            (82), (83), (87), (88), (90), (91), (123), (181)
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #85.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (182)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | |   (183)  all_25_24 = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (183) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | |   (184)  e12 = e11
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (11), (13), (17), (18),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (26), (27),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (30), (34), (36), (37), (38), (39), (40), (47),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (50), (53), (56), (57), (60), (61), (62), (66),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (67), (68), (77), (78), (79), (81), (82), (85),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (87), (88), (89), (91), (97), (116), (184) are
% 240.93/47.24  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | |   (185)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 240.93/47.24  | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 240.93/47.24  | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | BETA: splitting (185) gives:
% 240.93/47.24  | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | |   (186)  all_25_23 = e12 & op1(e10, e11) = e12
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | ALPHA: (186) implies:
% 240.93/47.24  | | | | | | | | | | |   (187)  all_25_23 = e12
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | COMBINE_EQS: (58), (187) imply:
% 240.93/47.24  | | | | | | | | | | |   (188)  e12 = e10
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | REDUCE: (62), (188) imply:
% 240.93/47.24  | | | | | | | | | | |   (189)  $false
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | |   (190)  all_25_24 = e12 & op1(e10, e10) = e12
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | ALPHA: (190) implies:
% 240.93/47.24  | | | | | | | | | | |   (191)  all_25_24 = e12
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | BETA: splitting (35) gives:
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | |   (192)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 240.93/47.24  | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | BETA: splitting (192) gives:
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | |   (193)  all_25_16 = e11 & op1(e14, e10) = e11
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | REF_CLOSE: (12), (20), (24), (27), (33), (34), (38), (40),
% 240.93/47.24  | | | | | | | | | | | | |            (56), (74), (86), (193) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | |            sub-proof #124.
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | |   (194)  all_25_17 = e11 & op1(e13, e10) = e11
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21),
% 240.93/47.24  | | | | | | | | | | | | |            (22), (24), (26), (27), (36), (37), (38), (39),
% 240.93/47.24  | | | | | | | | | | | | |            (40), (42), (50), (56), (57), (60), (61), (62),
% 240.93/47.24  | | | | | | | | | | | | |            (67), (77), (78), (81), (82), (87), (88), (91),
% 240.93/47.24  | | | | | | | | | | | | |            (194) are inconsistent by sub-proof #927.
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | |   (195)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 240.93/47.24  | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 240.93/47.24  | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | BETA: splitting (195) gives:
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | |   (196)  all_25_18 = e11 & op1(e12, e10) = e11
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | ALPHA: (196) implies:
% 240.93/47.24  | | | | | | | | | | | | |   (197)  all_25_18 = e11
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | BETA: splitting (23) gives:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | |   (198)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 240.93/47.24  | | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (199)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | REF_CLOSE: (20), (97), (199) are inconsistent by sub-proof
% 240.93/47.24  | | | | | | | | | | | | | | |            #1007.
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (200)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 240.93/47.24  | | | | | | | | | | | | | | |   (201)  all_25_7 = e14
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (202)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 240.93/47.24  | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (34), (36), (37),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (38), (39), (40), (50), (53), (56), (57), (60),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (61), (62), (66), (67), (68), (77), (78), (81),
% 240.93/47.24  | | | | | | | | | | | | | | | |            (82), (87), (88), (91), (97), (201), (202) are
% 240.93/47.24  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #84.
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (203)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (204)  all_25_8 = e10 & op1(e12, e12) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (20), (21), (24), (27), (38), (39),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (40), (56), (57), (79), (81), (87), (91), (204)
% 240.93/47.24  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #442.
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (205)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (206)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (207)  all_25_11 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (207) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (208)  e12 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REDUCE: (62), (208) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (209)  $false
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (210)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (211)  all_25_18 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (197), (211) are inconsistent by sub-proof
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            #1066.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | |   (212)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 240.93/47.24  | | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 240.93/47.24  | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (213)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (17), (19), (20),
% 240.93/47.24  | | | | | | | | | | | | | | |            (21), (22), (24), (26), (27), (34), (36), (37),
% 240.93/47.24  | | | | | | | | | | | | | | |            (38), (39), (40), (50), (53), (56), (57), (60),
% 240.93/47.24  | | | | | | | | | | | | | | |            (61), (62), (67), (68), (77), (78), (79), (81),
% 240.93/47.24  | | | | | | | | | | | | | | |            (82), (87), (88), (91), (97), (213) are
% 240.93/47.24  | | | | | | | | | | | | | | |            inconsistent by sub-proof #89.
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (214)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 240.93/47.24  | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (215)  all_25_11 = e14 & op1(e12, e11) = e14
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | REF_CLOSE: (30), (38), (47), (215) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | |            sub-proof #1162.
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (216)  all_25_18 = e14 & op1(e12, e10) = e14
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | |   (217)  all_25_18 = e14
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (197), (217) are inconsistent by sub-proof
% 240.93/47.24  | | | | | | | | | | | | | | | |            #939.
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | |   (218)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 240.93/47.24  | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | BETA: splitting (218) gives:
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | |   (219)  all_25_19 = e11 & op1(e11, e10) = e11
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | ALPHA: (219) implies:
% 240.93/47.24  | | | | | | | | | | | | | |   (220)  all_25_19 = e11
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (221)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 240.93/47.24  | | | | | | | | | | | | | | |          (all_25_13 = e12 & op1(e11, e13) = e12)
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (11), (17), (19), (20), (21), (22),
% 240.93/47.24  | | | | | | | | | | | | | | |            (24), (27), (37), (38), (39), (40), (43), (50),
% 240.93/47.24  | | | | | | | | | | | | | | |            (56), (57), (59), (62), (67), (78), (81), (82),
% 240.93/47.24  | | | | | | | | | | | | | | |            (87), (91), (221) are inconsistent by sub-proof
% 240.93/47.24  | | | | | | | | | | | | | | |            #154.
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | |   (222)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 240.93/47.24  | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 240.93/47.24  | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (223)  all_25_14 = e12 & op1(e11, e12) = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | |   (224)  all_25_14 = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (225)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (226)  all_25_12 = e10 & op1(e11, e14) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (20), (21), (24), (27), (38), (39),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (40), (42), (56), (57), (81), (87), (91), (226)
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #93.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (227)  all_25_13 = e10 & op1(e11, e13) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (228)  all_25_13 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (16), (17), (19),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (20), (21), (22), (24), (26), (27), (34), (36),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (37), (38), (39), (40), (48), (50), (53), (56),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (57), (60), (61), (62), (66), (67), (68), (77),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (78), (81), (82), (87), (88), (91), (97), (220),
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            (224), (228) are inconsistent by sub-proof #81.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (229)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (230)  all_25_14 = e10 & op1(e11, e12) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (231)  op1(e11, e12) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (38), (51), (231) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | |   (232)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 240.93/47.24  | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (233)  all_25_15 = e10 & op1(e11, e11) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (54), (77), (233) are inconsistent by
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |            sub-proof #92.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (234)  all_25_19 = e10 & op1(e11, e10) = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (235)  all_25_19 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (235) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (236)  e11 = e10
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | REDUCE: (50), (236) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | | | |   (237)  $false
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 240.93/47.24  | | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | |   (238)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 240.93/47.24  | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (239)  all_25_15 = e12 & op1(e11, e11) = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (240)  all_25_15 = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | COMBINE_EQS: (112), (240) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (241)  e12 = e11
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (11), (13), (17), (18),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (26), (27),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (30), (34), (36), (37), (38), (39), (40), (47),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (50), (53), (56), (57), (60), (61), (62), (66),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (67), (68), (77), (78), (79), (81), (82), (85),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (87), (88), (89), (91), (97), (116), (241) are
% 240.93/47.24  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (242)  all_25_19 = e12 & op1(e11, e10) = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (243)  all_25_19 = e12
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (243) imply:
% 240.93/47.24  | | | | | | | | | | | | | | | | |   (244)  e12 = e11
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (11), (13), (17), (18),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (26), (27),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (30), (34), (36), (37), (38), (39), (40), (47),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (50), (53), (56), (57), (60), (61), (62), (66),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (67), (68), (77), (78), (79), (81), (82), (85),
% 240.93/47.24  | | | | | | | | | | | | | | | | |            (87), (88), (89), (91), (97), (116), (244) are
% 240.93/47.24  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 240.93/47.24  | | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | |   (245)  all_25_24 = e11 & op1(e10, e10) = e11
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | ALPHA: (245) implies:
% 240.93/47.24  | | | | | | | | | | | | | |   (246)  all_25_24 = e11
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | COMBINE_EQS: (191), (246) imply:
% 240.93/47.24  | | | | | | | | | | | | | |   (247)  e12 = e11
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (11), (13), (17), (18),
% 240.93/47.24  | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (26), (27),
% 240.93/47.24  | | | | | | | | | | | | | |            (30), (34), (36), (37), (38), (39), (40), (47),
% 240.93/47.24  | | | | | | | | | | | | | |            (50), (53), (56), (57), (60), (61), (62), (66),
% 240.93/47.24  | | | | | | | | | | | | | |            (67), (68), (77), (78), (79), (81), (82), (85),
% 240.93/47.24  | | | | | | | | | | | | | |            (87), (88), (89), (91), (97), (116), (247) are
% 240.93/47.24  | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 240.93/47.24  | | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | 
% 240.93/47.24  | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | 
% 240.93/47.24  | | | | | | | |   (248)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 =
% 240.93/47.24  | | | | | | | |            e12 & op1(e10, e11) = e12)
% 240.93/47.24  | | | | | | | | 
% 240.93/47.24  | | | | | | | | BETA: splitting (248) gives:
% 240.93/47.24  | | | | | | | | 
% 240.93/47.24  | | | | | | | | Case 1:
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | |   (249)  all_25_15 = e12 & op1(e11, e11) = e12
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | REF_CLOSE: (19), (112), (249) are inconsistent by sub-proof
% 240.93/47.24  | | | | | | | | |            #985.
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | Case 2:
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | |   (250)  all_25_23 = e12 & op1(e10, e11) = e12
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | ALPHA: (250) implies:
% 240.93/47.24  | | | | | | | | |   (251)  all_25_23 = e12
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | COMBINE_EQS: (58), (251) imply:
% 240.93/47.24  | | | | | | | | |   (252)  e12 = e10
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | COMBINE_EQS: (8), (252) imply:
% 240.93/47.24  | | | | | | | | |   (253)  all_25_2 = e10
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | | REF_CLOSE: (6), (9), (17), (19), (20), (24), (27), (38), (39),
% 240.93/47.24  | | | | | | | | |            (40), (50), (56), (57), (62), (67), (81), (87),
% 240.93/47.24  | | | | | | | | |            (253) are inconsistent by sub-proof #1281.
% 240.93/47.24  | | | | | | | | | 
% 240.93/47.24  | | | | | | | | End of split
% 240.93/47.24  | | | | | | | | 
% 240.93/47.24  | | | | | | | End of split
% 240.93/47.24  | | | | | | | 
% 240.93/47.24  | | | | | | End of split
% 240.93/47.24  | | | | | | 
% 240.93/47.24  | | | | | Case 2:
% 240.93/47.24  | | | | | | 
% 240.93/47.24  | | | | | |   (254)  all_25_23 = e11 & op1(e10, e11) = e11
% 240.93/47.24  | | | | | | 
% 240.93/47.24  | | | | | | REF_CLOSE: (50), (58), (254) are inconsistent by sub-proof #120.
% 240.93/47.24  | | | | | | 
% 240.93/47.24  | | | | | End of split
% 240.93/47.24  | | | | | 
% 240.93/47.24  | | | | End of split
% 240.93/47.24  | | | | 
% 240.93/47.24  | | | End of split
% 240.93/47.24  | | | 
% 240.93/47.24  | | Case 2:
% 240.93/47.24  | | | 
% 240.93/47.24  | | |   (255)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 240.93/47.24  | | |            op1(e10, e14) = e11)
% 240.93/47.24  | | | 
% 240.93/47.24  | | | BETA: splitting (255) gives:
% 240.93/47.24  | | | 
% 240.93/47.24  | | | Case 1:
% 240.93/47.24  | | | | 
% 240.93/47.24  | | | |   (256)  all_25_12 = e11 & op1(e11, e14) = e11
% 240.93/47.24  | | | | 
% 240.93/47.24  | | | | ALPHA: (256) implies:
% 240.93/47.25  | | | |   (257)  all_25_12 = e11
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | | REF_CLOSE: (3), (6), (8), (9), (11), (17), (19), (20), (21), (22), (24),
% 240.93/47.25  | | | |            (26), (27), (36), (37), (38), (39), (40), (50), (56), (57),
% 240.93/47.25  | | | |            (60), (61), (62), (67), (77), (78), (81), (82), (87), (88),
% 240.93/47.25  | | | |            (91), (257) are inconsistent by sub-proof #949.
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | Case 2:
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | |   (258)  all_25_20 = e11 & op1(e10, e14) = e11
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | | REF_CLOSE: (13), (20), (258) are inconsistent by sub-proof #1064.
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | End of split
% 240.93/47.25  | | | 
% 240.93/47.25  | | End of split
% 240.93/47.25  | | 
% 240.93/47.25  | End of split
% 240.93/47.25  | 
% 240.93/47.25  End of proof
% 240.93/47.25  
% 240.93/47.25  Sub-proof #81 shows that the following formulas are inconsistent:
% 240.93/47.25  ----------------------------------------------------------------
% 240.93/47.25    (1)  op1(e11, e10) = all_14_23
% 240.93/47.25    (2)   ~ (e14 = e10)
% 240.93/47.25    (3)  all_25_14 = e12
% 240.93/47.25    (4)  all_25_2 = e12
% 240.93/47.25    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.25    (6)  all_25_1 = e12
% 240.93/47.25    (7)  all_25_6 = e11
% 240.93/47.25    (8)  all_25_20 = e14
% 240.93/47.25    (9)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 240.93/47.25             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 240.93/47.25           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 240.93/47.25    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.25            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.25            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.25    (11)   ~ (e12 = e11)
% 240.93/47.25    (12)   ~ (e14 = e11)
% 240.93/47.25    (13)  all_25_3 = e11
% 240.93/47.25    (14)  op1(e10, e13) = e13
% 240.93/47.25    (15)   ~ (e13 = e10)
% 240.93/47.25    (16)  op1(e11, e12) = all_14_13
% 240.93/47.25    (17)   ~ (e14 = e13)
% 240.93/47.25    (18)  op1(e13, e11) = e14
% 240.93/47.25    (19)  all_25_19 = e11
% 240.93/47.25    (20)   ~ (all_14_23 = e13)
% 240.93/47.25    (21)  all_25_21 = e13
% 240.93/47.25    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.25    (23)  all_25_13 = e10
% 240.93/47.25    (24)   ~ (e13 = e11)
% 240.93/47.25    (25)  op1(e13, e12) = e10
% 240.93/47.25    (26)   ~ (all_14_18 = e14)
% 240.93/47.25    (27)   ~ (e11 = e10)
% 240.93/47.25    (28)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.25            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.25            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.25    (29)   ~ (e13 = e12)
% 240.93/47.25    (30)  op1(e13, e13) = e11
% 240.93/47.25    (31)   ~ (all_14_13 = e13)
% 240.93/47.25    (32)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.25              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.25            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.25    (33)   ~ (e12 = e10)
% 240.93/47.25    (34)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.25            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.25            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.25    (35)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.25            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.25            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.25    (36)  all_25_0 = e10
% 240.93/47.25    (37)  op1(e11, e11) = all_14_18
% 240.93/47.25    (38)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.25            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.25            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.25    (39)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.25    (40)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.25            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.25            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.25    (41)   ~ (e14 = e12)
% 240.93/47.25    (42)   ~ (all_14_18 = e13)
% 240.93/47.25    (43)  all_25_17 = e13
% 240.93/47.25  
% 240.93/47.25  Begin of proof
% 240.93/47.25  | 
% 240.93/47.25  | BETA: splitting (40) gives:
% 240.93/47.25  | 
% 240.93/47.25  | Case 1:
% 240.93/47.25  | | 
% 240.93/47.25  | |   (44)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 240.93/47.25  | |             e13) = e14)
% 240.93/47.25  | | 
% 240.93/47.25  | | BETA: splitting (44) gives:
% 240.93/47.25  | | 
% 240.93/47.25  | | Case 1:
% 240.93/47.25  | | | 
% 240.93/47.25  | | |   (45)  all_25_1 = e14 & op1(e14, e13) = e14
% 240.93/47.25  | | | 
% 240.93/47.25  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 240.93/47.25  | | |            (14), (15), (16), (17), (18), (20), (21), (22), (24), (25),
% 240.93/47.25  | | |            (27), (28), (29), (30), (31), (32), (33), (35), (36), (37),
% 240.93/47.25  | | |            (38), (39), (40), (41), (42), (43), (45) are inconsistent by
% 240.93/47.25  | | |            sub-proof #929.
% 240.93/47.25  | | | 
% 240.93/47.25  | | Case 2:
% 240.93/47.25  | | | 
% 240.93/47.25  | | |   (46)  all_25_3 = e14 & op1(e13, e13) = e14
% 240.93/47.25  | | | 
% 240.93/47.25  | | | REF_CLOSE: (12), (13), (46) are inconsistent by sub-proof #1291.
% 240.93/47.25  | | | 
% 240.93/47.25  | | End of split
% 240.93/47.25  | | 
% 240.93/47.25  | Case 2:
% 240.93/47.25  | | 
% 240.93/47.25  | |   (47)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 240.93/47.25  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.25  | | 
% 240.93/47.25  | | BETA: splitting (47) gives:
% 240.93/47.25  | | 
% 240.93/47.25  | | Case 1:
% 240.93/47.25  | | | 
% 240.93/47.25  | | |   (48)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.93/47.25  | | | 
% 240.93/47.25  | | | ALPHA: (48) implies:
% 240.93/47.25  | | |   (49)  all_25_7 = e14
% 240.93/47.25  | | | 
% 240.93/47.25  | | | BETA: splitting (9) gives:
% 240.93/47.25  | | | 
% 240.93/47.25  | | | Case 1:
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | |   (50)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 240.93/47.25  | | | |           op1(e11, e13) = e14)
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (11), (12), (13), (14), (15),
% 240.93/47.25  | | | |            (16), (17), (20), (21), (22), (23), (24), (25), (27), (29),
% 240.93/47.25  | | | |            (30), (31), (32), (33), (35), (37), (38), (39), (40), (41),
% 240.93/47.25  | | | |            (42), (43), (50) are inconsistent by sub-proof #237.
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | Case 2:
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | |   (51)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 240.93/47.25  | | | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | | BETA: splitting (51) gives:
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | | Case 1:
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | |   (52)  all_25_14 = e14 & op1(e11, e12) = e14
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | | REF_CLOSE: (3), (41), (52) are inconsistent by sub-proof #1116.
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | Case 2:
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | |   (53)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 240.93/47.25  | | | | |           op1(e11, e10) = e14)
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | | BETA: splitting (53) gives:
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | | Case 1:
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | |   (54)  all_25_15 = e14 & op1(e11, e11) = e14
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | | ALPHA: (54) implies:
% 240.93/47.25  | | | | | |   (55)  op1(e11, e11) = e14
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | | REF_CLOSE: (22), (26), (37), (55) are inconsistent by sub-proof
% 240.93/47.25  | | | | | |            #1098.
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | Case 2:
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | |   (56)  all_25_19 = e14 & op1(e11, e10) = e14
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | | ALPHA: (56) implies:
% 240.93/47.25  | | | | | |   (57)  all_25_19 = e14
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | | COMBINE_EQS: (19), (57) imply:
% 240.93/47.25  | | | | | |   (58)  e14 = e11
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | | REF_CLOSE: (2), (6), (12), (13), (14), (17), (22), (23), (40), (41),
% 240.93/47.25  | | | | | |            (49), (58) are inconsistent by sub-proof #137.
% 240.93/47.25  | | | | | | 
% 240.93/47.25  | | | | | End of split
% 240.93/47.25  | | | | | 
% 240.93/47.25  | | | | End of split
% 240.93/47.25  | | | | 
% 240.93/47.25  | | | End of split
% 240.93/47.25  | | | 
% 240.93/47.25  | | Case 2:
% 240.93/47.25  | | | 
% 240.93/47.25  | | |   (59)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 240.93/47.25  | | |           op1(e10, e13) = e14)
% 240.93/47.25  | | | 
% 240.93/47.25  | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (11), (12), (13), (14),
% 240.93/47.25  | | |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 240.93/47.25  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 240.93/47.25  | | |            (37), (38), (39), (40), (41), (42), (43), (59) are inconsistent
% 240.93/47.25  | | |            by sub-proof #83.
% 240.93/47.25  | | | 
% 240.93/47.25  | | End of split
% 240.93/47.25  | | 
% 240.93/47.25  | End of split
% 240.93/47.25  | 
% 240.93/47.25  End of proof
% 240.93/47.25  
% 240.93/47.25  Sub-proof #82 shows that the following formulas are inconsistent:
% 240.93/47.25  ----------------------------------------------------------------
% 240.93/47.25    (1)  op1(e11, e10) = all_14_23
% 240.93/47.25    (2)  op1(e12, e13) = all_14_7
% 240.93/47.25    (3)   ~ (e14 = e10)
% 240.93/47.25    (4)  all_25_2 = e12
% 240.93/47.25    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.25    (6)  all_25_1 = e12
% 240.93/47.25    (7)  all_25_6 = e11
% 240.93/47.25    (8)  all_25_20 = e14
% 240.93/47.25    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.25           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.25           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.25    (10)   ~ (all_14_7 = e12)
% 240.93/47.25    (11)   ~ (e12 = e11)
% 240.93/47.25    (12)   ~ (e14 = e11)
% 240.93/47.25    (13)  all_25_3 = e11
% 240.93/47.25    (14)  op1(e10, e13) = e13
% 240.93/47.25    (15)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.93/47.25            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.93/47.25            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.25    (16)   ~ (e13 = e10)
% 240.93/47.25    (17)  op1(e11, e12) = all_14_13
% 240.93/47.25    (18)   ~ (e14 = e13)
% 240.93/47.25    (19)  all_25_11 = e12
% 240.93/47.25    (20)   ~ (all_14_17 = e14)
% 240.93/47.25    (21)  op1(e13, e11) = e14
% 240.93/47.25    (22)   ~ (all_14_23 = e13)
% 240.93/47.25    (23)  all_25_21 = e13
% 240.93/47.25    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.25    (25)   ~ (e13 = e11)
% 240.93/47.25    (26)  op1(e13, e12) = e10
% 240.93/47.25    (27)  op1(e12, e11) = all_14_17
% 240.93/47.25    (28)   ~ (e11 = e10)
% 240.93/47.25    (29)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.25            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.25            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.25    (30)   ~ (e13 = e12)
% 240.93/47.25    (31)  op1(e13, e13) = e11
% 240.93/47.25    (32)   ~ (all_14_13 = e13)
% 240.93/47.25    (33)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.25              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.25            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.25    (34)   ~ (e12 = e10)
% 240.93/47.25    (35)  e12 = e11
% 240.93/47.25    (36)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.25            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.25            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.25    (37)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.25            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.25            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.25    (38)  all_25_0 = e10
% 240.93/47.25    (39)  op1(e11, e11) = all_14_18
% 240.93/47.25    (40)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.25            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.25            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.25    (41)  all_25_8 = e13
% 240.93/47.25    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.25    (43)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.25            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.25            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.25    (44)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.93/47.25            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.93/47.25            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.25    (45)   ~ (e14 = e12)
% 240.93/47.25    (46)   ~ (all_14_18 = e13)
% 240.93/47.26    (47)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.93/47.26            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.93/47.26            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.93/47.26    (48)  all_25_17 = e13
% 240.93/47.26  
% 240.93/47.26  Begin of proof
% 240.93/47.26  | 
% 240.93/47.26  | SIMP: (35) implies:
% 240.93/47.26  |   (49)  e12 = e11
% 240.93/47.26  | 
% 240.93/47.26  | COMBINE_EQS: (19), (49) imply:
% 240.93/47.26  |   (50)  all_25_11 = e11
% 240.93/47.26  | 
% 240.93/47.26  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.93/47.26  |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 240.93/47.26  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (36),
% 240.93/47.26  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 240.93/47.26  |            (48), (50) are inconsistent by sub-proof #87.
% 240.93/47.26  | 
% 240.93/47.26  End of proof
% 240.93/47.26  
% 240.93/47.26  Sub-proof #83 shows that the following formulas are inconsistent:
% 240.93/47.26  ----------------------------------------------------------------
% 240.93/47.26    (1)  op1(e11, e10) = all_14_23
% 240.93/47.26    (2)   ~ (e14 = e10)
% 240.93/47.26    (3)  all_25_2 = e12
% 240.93/47.26    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.26           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.26           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.26    (5)  all_25_1 = e12
% 240.93/47.26    (6)  all_25_20 = e14
% 240.93/47.26    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.26           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.26           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.26    (8)   ~ (e12 = e11)
% 240.93/47.26    (9)   ~ (e14 = e11)
% 240.93/47.26    (10)  all_25_3 = e11
% 240.93/47.26    (11)  op1(e10, e13) = e13
% 240.93/47.26    (12)   ~ (e13 = e10)
% 240.93/47.26    (13)  op1(e11, e12) = all_14_13
% 240.93/47.26    (14)   ~ (e14 = e13)
% 240.93/47.26    (15)  op1(e13, e11) = e14
% 240.93/47.26    (16)   ~ (all_14_23 = e13)
% 240.93/47.26    (17)  all_25_21 = e13
% 240.93/47.26    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.26    (19)  all_25_13 = e10
% 240.93/47.26    (20)   ~ (e13 = e11)
% 240.93/47.26    (21)  op1(e13, e12) = e10
% 240.93/47.26    (22)   ~ (e11 = e10)
% 240.93/47.26    (23)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.26            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.26            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.26    (24)   ~ (e13 = e12)
% 240.93/47.26    (25)  op1(e13, e13) = e11
% 240.93/47.26    (26)   ~ (all_14_13 = e13)
% 240.93/47.26    (27)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.26              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.26            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.26    (28)   ~ (e12 = e10)
% 240.93/47.26    (29)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.26            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.26            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.26    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.26            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.26            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.26    (31)  all_25_0 = e10
% 240.93/47.26    (32)  op1(e11, e11) = all_14_18
% 240.93/47.26    (33)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.26            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.26            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.26    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.26            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.26            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.26    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.26            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.26            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.26    (36)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10,
% 240.93/47.26              e13) = e14)
% 240.93/47.26    (37)   ~ (e14 = e12)
% 240.93/47.26    (38)   ~ (all_14_18 = e13)
% 240.93/47.26    (39)  all_25_17 = e13
% 240.93/47.26  
% 240.93/47.26  Begin of proof
% 240.93/47.26  | 
% 240.93/47.26  | BETA: splitting (36) gives:
% 240.93/47.26  | 
% 240.93/47.26  | Case 1:
% 240.93/47.26  | | 
% 240.93/47.26  | |   (40)  all_25_13 = e14 & op1(e11, e13) = e14
% 240.93/47.26  | | 
% 240.93/47.26  | | ALPHA: (40) implies:
% 240.93/47.26  | |   (41)  all_25_13 = e14
% 240.93/47.26  | | 
% 240.93/47.26  | | COMBINE_EQS: (19), (41) imply:
% 240.93/47.26  | |   (42)  e14 = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.93/47.26  | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 240.93/47.26  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 240.93/47.26  | |            (37), (38), (39), (42) are inconsistent by sub-proof #90.
% 240.93/47.26  | | 
% 240.93/47.26  | Case 2:
% 240.93/47.26  | | 
% 240.93/47.26  | |   (43)  all_25_21 = e14 & op1(e10, e13) = e14
% 240.93/47.26  | | 
% 240.93/47.26  | | ALPHA: (43) implies:
% 240.93/47.26  | |   (44)  op1(e10, e13) = e14
% 240.93/47.26  | | 
% 240.93/47.26  | | REF_CLOSE: (11), (14), (18), (44) are inconsistent by sub-proof #1274.
% 240.93/47.26  | | 
% 240.93/47.26  | End of split
% 240.93/47.26  | 
% 240.93/47.26  End of proof
% 240.93/47.26  
% 240.93/47.26  Sub-proof #84 shows that the following formulas are inconsistent:
% 240.93/47.26  ----------------------------------------------------------------
% 240.93/47.26    (1)  op1(e11, e10) = all_14_23
% 240.93/47.26    (2)   ~ (e14 = e10)
% 240.93/47.26    (3)  all_25_2 = e12
% 240.93/47.26    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.26           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.26           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.26    (5)  all_25_1 = e12
% 240.93/47.26    (6)  all_25_6 = e11
% 240.93/47.26    (7)  all_25_20 = e14
% 240.93/47.26    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.26           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.26           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.26    (9)   ~ (e12 = e11)
% 240.93/47.26    (10)   ~ (e14 = e11)
% 240.93/47.26    (11)  all_25_3 = e11
% 240.93/47.26    (12)  op1(e10, e13) = e13
% 240.93/47.26    (13)   ~ (e13 = e10)
% 240.93/47.26    (14)  op1(e11, e12) = all_14_13
% 240.93/47.26    (15)   ~ (e14 = e13)
% 240.93/47.26    (16)  op1(e13, e11) = e14
% 240.93/47.26    (17)   ~ (all_14_23 = e13)
% 240.93/47.26    (18)  all_25_21 = e13
% 240.93/47.26    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.26    (20)   ~ (e13 = e11)
% 240.93/47.26    (21)  op1(e13, e12) = e10
% 240.93/47.26    (22)   ~ (e11 = e10)
% 240.93/47.26    (23)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.26            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.26            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.26    (24)   ~ (e13 = e12)
% 240.93/47.26    (25)  op1(e13, e13) = e11
% 240.93/47.26    (26)   ~ (all_14_13 = e13)
% 240.93/47.26    (27)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.26              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.26            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.26    (28)   ~ (e12 = e10)
% 240.93/47.26    (29)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.26            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.26            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.26    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.26            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.26            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.26    (31)  all_25_0 = e10
% 240.93/47.26    (32)  all_25_7 = e14
% 240.93/47.26    (33)  op1(e11, e11) = all_14_18
% 240.93/47.26    (34)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.26            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.26            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.26    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.26            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.26            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.26    (36)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.26            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.26            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.26    (37)   ~ (e14 = e12)
% 240.93/47.26    (38)   ~ (all_14_18 = e13)
% 240.93/47.26    (39)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.93/47.26            = e10)
% 240.93/47.26    (40)  all_25_17 = e13
% 240.93/47.26  
% 240.93/47.26  Begin of proof
% 240.93/47.26  | 
% 240.93/47.26  | BETA: splitting (39) gives:
% 240.93/47.26  | 
% 240.93/47.26  | Case 1:
% 240.93/47.26  | | 
% 240.93/47.26  | |   (41)  all_25_6 = e10 & op1(e12, e14) = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | REF_CLOSE: (6), (22), (41) are inconsistent by sub-proof #1006.
% 240.93/47.26  | | 
% 240.93/47.26  | Case 2:
% 240.93/47.26  | | 
% 240.93/47.26  | |   (42)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | ALPHA: (42) implies:
% 240.93/47.26  | |   (43)  all_25_7 = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | COMBINE_EQS: (32), (43) imply:
% 240.93/47.26  | |   (44)  e14 = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | COMBINE_EQS: (7), (44) imply:
% 240.93/47.26  | |   (45)  all_25_20 = e10
% 240.93/47.26  | | 
% 240.93/47.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14),
% 240.93/47.26  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 240.93/47.26  | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 240.93/47.26  | |            (38), (40), (45) are inconsistent by sub-proof #103.
% 240.93/47.26  | | 
% 240.93/47.26  | End of split
% 240.93/47.26  | 
% 240.93/47.26  End of proof
% 240.93/47.26  
% 240.93/47.26  Sub-proof #85 shows that the following formulas are inconsistent:
% 240.93/47.26  ----------------------------------------------------------------
% 240.93/47.26    (1)  op1(e11, e10) = all_14_23
% 240.93/47.26    (2)   ~ (e14 = e10)
% 240.93/47.26    (3)  all_25_2 = e12
% 240.93/47.26    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.26           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.26           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.26    (5)  all_25_1 = e12
% 240.93/47.26    (6)  all_25_22 = e12
% 240.93/47.26    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.26           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.26           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.26    (8)   ~ (e12 = e11)
% 240.93/47.26    (9)   ~ (e14 = e11)
% 240.93/47.26    (10)  all_25_3 = e11
% 240.93/47.26    (11)  op1(e10, e13) = e13
% 240.93/47.26    (12)   ~ (e13 = e10)
% 240.93/47.26    (13)  op1(e11, e12) = all_14_13
% 240.93/47.26    (14)   ~ (e14 = e13)
% 240.93/47.26    (15)   ~ (all_14_23 = e13)
% 240.93/47.26    (16)  all_25_21 = e13
% 240.93/47.26    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.26    (18)   ~ (e13 = e11)
% 240.93/47.26    (19)  op1(e13, e12) = e10
% 240.93/47.26    (20)  all_25_12 = e13
% 240.93/47.26    (21)   ~ (e11 = e10)
% 240.93/47.26    (22)   ~ (e13 = e12)
% 240.93/47.26    (23)  op1(e13, e13) = e11
% 240.93/47.26    (24)   ~ (all_14_13 = e13)
% 240.93/47.26    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.26              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.26            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.26    (26)   ~ (e12 = e10)
% 240.93/47.26    (27)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.93/47.26            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.93/47.26            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.93/47.27    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.27            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.27            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.27    (29)  op1(e14, e12) = all_14_10
% 240.93/47.27    (30)  e12 = e10
% 240.93/47.27    (31)   ~ (all_14_10 = e12)
% 240.93/47.27    (32)  op1(e11, e11) = all_14_18
% 240.93/47.27    (33)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.27            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.27            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.27    (34)  all_25_8 = e13
% 240.93/47.27    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.27            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.27    (36)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.27            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.27    (37)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.93/47.27            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.93/47.27            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.93/47.27    (38)   ~ (e14 = e12)
% 240.93/47.27    (39)   ~ (all_14_18 = e13)
% 240.93/47.27    (40)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.93/47.27            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.93/47.27            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.93/47.27    (41)  all_25_17 = e13
% 240.93/47.27  
% 240.93/47.27  Begin of proof
% 240.93/47.27  | 
% 240.93/47.27  | SIMP: (30) implies:
% 240.93/47.27  |   (42)  e12 = e10
% 240.93/47.27  | 
% 240.93/47.27  | COMBINE_EQS: (6), (42) imply:
% 240.93/47.27  |   (43)  all_25_22 = e10
% 240.93/47.27  | 
% 240.93/47.27  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 240.93/47.27  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 240.93/47.27  |            (25), (26), (27), (28), (29), (31), (32), (33), (34), (35), (36),
% 240.93/47.27  |            (37), (38), (39), (40), (41), (43) are inconsistent by sub-proof
% 240.93/47.27  |            #98.
% 240.93/47.27  | 
% 240.93/47.27  End of proof
% 240.93/47.27  
% 240.93/47.27  Sub-proof #86 shows that the following formulas are inconsistent:
% 240.93/47.27  ----------------------------------------------------------------
% 240.93/47.27    (1)  op1(e11, e10) = all_14_23
% 240.93/47.27    (2)   ~ (e14 = e10)
% 240.93/47.27    (3)  all_25_2 = e12
% 240.93/47.27    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.27           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.27           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.27    (5)  all_25_1 = e12
% 240.93/47.27    (6)  all_25_22 = e12
% 240.93/47.27    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.27           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.27           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.27    (8)   ~ (e12 = e11)
% 240.93/47.27    (9)   ~ (e14 = e11)
% 240.93/47.27    (10)  all_25_3 = e11
% 240.93/47.27    (11)  op1(e10, e13) = e13
% 240.93/47.27    (12)   ~ (e13 = e10)
% 240.93/47.27    (13)  op1(e11, e12) = all_14_13
% 240.93/47.27    (14)   ~ (e14 = e13)
% 240.93/47.27    (15)  all_25_11 = e12
% 240.93/47.27    (16)   ~ (all_14_23 = e13)
% 240.93/47.27    (17)  all_25_21 = e13
% 240.93/47.27    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.27            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.27    (19)   ~ (e13 = e11)
% 240.93/47.27    (20)  op1(e13, e12) = e10
% 240.93/47.27    (21)  all_25_12 = e13
% 240.93/47.27    (22)   ~ (e11 = e10)
% 240.93/47.27    (23)   ~ (e13 = e12)
% 240.93/47.27    (24)  op1(e13, e13) = e11
% 240.93/47.27    (25)   ~ (all_14_13 = e13)
% 240.93/47.27    (26)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.93/47.27    (27)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.27              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.27            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.27    (28)   ~ (e12 = e10)
% 240.93/47.27    (29)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 240.93/47.27            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 240.93/47.27            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 240.93/47.27    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.27            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.27            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.27    (31)  op1(e14, e12) = all_14_10
% 240.93/47.27    (32)   ~ (all_14_10 = e12)
% 240.93/47.27    (33)  op1(e11, e11) = all_14_18
% 240.93/47.27    (34)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.27            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.27            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.27    (35)  all_25_8 = e13
% 240.93/47.27    (36)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.27            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.27    (37)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.27            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.27    (38)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 240.93/47.27            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 240.93/47.27            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 240.93/47.27    (39)   ~ (e14 = e12)
% 240.93/47.27    (40)   ~ (all_14_18 = e13)
% 240.93/47.27    (41)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 240.93/47.27            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 240.93/47.27            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 240.93/47.27    (42)  all_25_17 = e13
% 240.93/47.27  
% 240.93/47.27  Begin of proof
% 240.93/47.27  | 
% 240.93/47.27  | ALPHA: (26) implies:
% 240.93/47.27  |   (43)  all_25_11 = e10
% 240.93/47.27  | 
% 240.93/47.27  | COMBINE_EQS: (15), (43) imply:
% 240.93/47.27  |   (44)  e12 = e10
% 240.93/47.27  | 
% 240.93/47.27  | COMBINE_EQS: (6), (44) imply:
% 240.93/47.27  |   (45)  all_25_22 = e10
% 240.93/47.27  | 
% 240.93/47.27  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 240.93/47.27  |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 240.93/47.27  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 240.93/47.27  |            (38), (39), (40), (41), (42), (45) are inconsistent by sub-proof
% 240.93/47.27  |            #98.
% 240.93/47.27  | 
% 240.93/47.27  End of proof
% 240.93/47.27  
% 240.93/47.27  Sub-proof #87 shows that the following formulas are inconsistent:
% 240.93/47.27  ----------------------------------------------------------------
% 240.93/47.27    (1)  op1(e11, e10) = all_14_23
% 240.93/47.27    (2)  op1(e12, e13) = all_14_7
% 240.93/47.27    (3)   ~ (e14 = e10)
% 240.93/47.27    (4)  all_25_2 = e12
% 240.93/47.27    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.27           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.27           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.27    (6)  all_25_1 = e12
% 240.93/47.27    (7)  all_25_6 = e11
% 240.93/47.27    (8)  all_25_20 = e14
% 240.93/47.27    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.27           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.27           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.27    (10)   ~ (all_14_7 = e12)
% 240.93/47.27    (11)   ~ (e12 = e11)
% 240.93/47.27    (12)   ~ (e14 = e11)
% 240.93/47.27    (13)  all_25_3 = e11
% 240.93/47.27    (14)  op1(e10, e13) = e13
% 240.93/47.27    (15)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.93/47.27            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.93/47.27            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.27    (16)   ~ (e13 = e10)
% 240.93/47.27    (17)  op1(e11, e12) = all_14_13
% 240.93/47.27    (18)   ~ (e14 = e13)
% 240.93/47.27    (19)   ~ (all_14_17 = e14)
% 240.93/47.27    (20)  op1(e13, e11) = e14
% 240.93/47.27    (21)   ~ (all_14_23 = e13)
% 240.93/47.27    (22)  all_25_21 = e13
% 240.93/47.27    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.27            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.27    (24)   ~ (e13 = e11)
% 240.93/47.27    (25)  op1(e13, e12) = e10
% 240.93/47.27    (26)  all_25_11 = e11
% 240.93/47.27    (27)  op1(e12, e11) = all_14_17
% 240.93/47.27    (28)   ~ (e11 = e10)
% 240.93/47.27    (29)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.27            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.27            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.27    (30)   ~ (e13 = e12)
% 240.93/47.27    (31)  op1(e13, e13) = e11
% 240.93/47.27    (32)   ~ (all_14_13 = e13)
% 240.93/47.27    (33)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.27              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.27            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.27    (34)   ~ (e12 = e10)
% 240.93/47.27    (35)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.27            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.27            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.27    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.27            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.27            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.27    (37)  all_25_0 = e10
% 240.93/47.27    (38)  op1(e11, e11) = all_14_18
% 240.93/47.27    (39)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.27            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.27            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.27    (40)  all_25_8 = e13
% 240.93/47.27    (41)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.27            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.27    (42)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.27            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.27            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.27    (43)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 240.93/47.27            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.93/47.27            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 240.93/47.27    (44)   ~ (e14 = e12)
% 240.93/47.27    (45)   ~ (all_14_18 = e13)
% 240.93/47.27    (46)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 240.93/47.27            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 240.93/47.27            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.93/47.27    (47)  all_25_17 = e13
% 240.93/47.27  
% 240.93/47.27  Begin of proof
% 240.93/47.27  | 
% 240.93/47.27  | BETA: splitting (46) gives:
% 240.93/47.27  | 
% 240.93/47.27  | Case 1:
% 240.93/47.27  | | 
% 240.93/47.27  | |   (48)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 240.93/47.27  | |             e13) = e12)
% 240.93/47.27  | | 
% 240.93/47.27  | | BETA: splitting (48) gives:
% 240.93/47.27  | | 
% 240.93/47.27  | | Case 1:
% 240.93/47.27  | | | 
% 240.93/47.27  | | |   (49)  all_25_6 = e12 & op1(e12, e14) = e12
% 240.93/47.27  | | | 
% 240.93/47.27  | | | ALPHA: (49) implies:
% 240.93/47.27  | | |   (50)  all_25_6 = e12
% 240.93/47.27  | | | 
% 240.93/47.27  | | | COMBINE_EQS: (7), (50) imply:
% 240.93/47.27  | | |   (51)  e12 = e11
% 240.93/47.27  | | | 
% 240.93/47.27  | | | SIMP: (51) implies:
% 240.93/47.27  | | |   (52)  e12 = e11
% 240.93/47.27  | | | 
% 240.93/47.27  | | | REDUCE: (11), (52) imply:
% 240.93/47.27  | | |   (53)  $false
% 240.93/47.27  | | | 
% 240.93/47.27  | | | CLOSE: (53) is inconsistent.
% 240.93/47.27  | | | 
% 240.93/47.27  | | Case 2:
% 240.93/47.27  | | | 
% 240.93/47.28  | | |   (54)  all_25_7 = e12 & op1(e12, e13) = e12
% 240.93/47.28  | | | 
% 240.93/47.28  | | | ALPHA: (54) implies:
% 240.93/47.28  | | |   (55)  op1(e12, e13) = e12
% 240.93/47.28  | | | 
% 240.93/47.28  | | | REF_CLOSE: (2), (10), (23), (55) are inconsistent by sub-proof #1296.
% 240.93/47.28  | | | 
% 240.93/47.28  | | End of split
% 240.93/47.28  | | 
% 240.93/47.28  | Case 2:
% 240.93/47.28  | | 
% 240.93/47.28  | |   (56)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 & op1(e12,
% 240.93/47.28  | |             e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 240.93/47.28  | | 
% 240.93/47.28  | | BETA: splitting (56) gives:
% 240.93/47.28  | | 
% 240.93/47.28  | | Case 1:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (57)  all_25_8 = e12 & op1(e12, e12) = e12
% 240.93/47.28  | | | 
% 240.93/47.28  | | | REF_CLOSE: (30), (40), (57) are inconsistent by sub-proof #944.
% 240.93/47.28  | | | 
% 240.93/47.28  | | Case 2:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (58)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 240.93/47.28  | | |           op1(e12, e10) = e12)
% 240.93/47.28  | | | 
% 240.93/47.28  | | | BETA: splitting (58) gives:
% 240.93/47.28  | | | 
% 240.93/47.28  | | | Case 1:
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | |   (59)  all_25_11 = e12 & op1(e12, e11) = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | ALPHA: (59) implies:
% 240.93/47.28  | | | |   (60)  all_25_11 = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | REF_CLOSE: (11), (26), (60) are inconsistent by sub-proof #1167.
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | Case 2:
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | |   (61)  all_25_18 = e12 & op1(e12, e10) = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | ALPHA: (61) implies:
% 240.93/47.28  | | | |   (62)  all_25_18 = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | BETA: splitting (43) gives:
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | Case 1:
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | |   (63)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 &
% 240.93/47.28  | | | | |           op1(e12, e13) = e10)
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | | BETA: splitting (63) gives:
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | | Case 1:
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | |   (64)  all_25_6 = e10 & op1(e12, e14) = e10
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | REF_CLOSE: (7), (28), (64) are inconsistent by sub-proof #1006.
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | Case 2:
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | |   (65)  all_25_7 = e10 & op1(e12, e13) = e10
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | ALPHA: (65) implies:
% 240.93/47.28  | | | | | |   (66)  all_25_7 = e10
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 240.93/47.28  | | | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 240.93/47.28  | | | | | |            (23), (24), (25), (27), (28), (29), (30), (31), (32),
% 240.93/47.28  | | | | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 240.93/47.28  | | | | | |            (42), (44), (45), (47), (62), (66) are inconsistent by
% 240.93/47.28  | | | | | |            sub-proof #88.
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | End of split
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | Case 2:
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | |   (67)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 240.93/47.28  | | | | |           op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) =
% 240.93/47.28  | | | | |           e10)
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | | BETA: splitting (67) gives:
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | | Case 1:
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | |   (68)  all_25_8 = e10 & op1(e12, e12) = e10
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | REF_CLOSE: (3), (4), (5), (12), (13), (16), (18), (23), (24), (25),
% 240.93/47.28  | | | | | |            (30), (31), (40), (41), (44), (47), (68) are inconsistent
% 240.93/47.28  | | | | | |            by sub-proof #486.
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | Case 2:
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | |   (69)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 240.93/47.28  | | | | | |           op1(e12, e10) = e10)
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | BETA: splitting (69) gives:
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | | Case 1:
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | |   (70)  all_25_11 = e10 & op1(e12, e11) = e10
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | | REF_CLOSE: (26), (28), (70) are inconsistent by sub-proof #144.
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | Case 2:
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | |   (71)  all_25_18 = e10 & op1(e12, e10) = e10
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | | REF_CLOSE: (3), (4), (5), (9), (11), (12), (16), (18), (23), (24),
% 240.93/47.28  | | | | | | |            (25), (28), (30), (31), (34), (36), (41), (44), (62),
% 240.93/47.28  | | | | | | |            (71) are inconsistent by sub-proof #1144.
% 240.93/47.28  | | | | | | | 
% 240.93/47.28  | | | | | | End of split
% 240.93/47.28  | | | | | | 
% 240.93/47.28  | | | | | End of split
% 240.93/47.28  | | | | | 
% 240.93/47.28  | | | | End of split
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | End of split
% 240.93/47.28  | | | 
% 240.93/47.28  | | End of split
% 240.93/47.28  | | 
% 240.93/47.28  | End of split
% 240.93/47.28  | 
% 240.93/47.28  End of proof
% 240.93/47.28  
% 240.93/47.28  Sub-proof #88 shows that the following formulas are inconsistent:
% 240.93/47.28  ----------------------------------------------------------------
% 240.93/47.28    (1)  op1(e11, e10) = all_14_23
% 240.93/47.28    (2)   ~ (e14 = e10)
% 240.93/47.28    (3)  all_25_2 = e12
% 240.93/47.28    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.28           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.28           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.28    (5)  all_25_1 = e12
% 240.93/47.28    (6)  all_25_6 = e11
% 240.93/47.28    (7)  all_25_20 = e14
% 240.93/47.28    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.28           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.28           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.28    (9)   ~ (e12 = e11)
% 240.93/47.28    (10)   ~ (e14 = e11)
% 240.93/47.28    (11)  all_25_3 = e11
% 240.93/47.28    (12)  op1(e10, e13) = e13
% 240.93/47.28    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 240.93/47.28            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 240.93/47.28            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.28    (14)   ~ (e13 = e10)
% 240.93/47.28    (15)  op1(e11, e12) = all_14_13
% 240.93/47.28    (16)   ~ (e14 = e13)
% 240.93/47.28    (17)   ~ (all_14_17 = e14)
% 240.93/47.28    (18)  op1(e13, e11) = e14
% 240.93/47.28    (19)   ~ (all_14_23 = e13)
% 240.93/47.28    (20)  all_25_21 = e13
% 240.93/47.28    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.28            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.28    (22)   ~ (e13 = e11)
% 240.93/47.28    (23)  op1(e13, e12) = e10
% 240.93/47.28    (24)  op1(e12, e11) = all_14_17
% 240.93/47.28    (25)   ~ (e11 = e10)
% 240.93/47.28    (26)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.28            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.28            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.28    (27)   ~ (e13 = e12)
% 240.93/47.28    (28)  op1(e13, e13) = e11
% 240.93/47.28    (29)  all_25_7 = e10
% 240.93/47.28    (30)   ~ (all_14_13 = e13)
% 240.93/47.28    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.28              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.28            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.28    (32)   ~ (e12 = e10)
% 240.93/47.28    (33)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.28            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.28            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.28    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.28            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.28            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.28    (35)  all_25_0 = e10
% 240.93/47.28    (36)  all_25_18 = e12
% 240.93/47.28    (37)  op1(e11, e11) = all_14_18
% 240.93/47.28    (38)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.28            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.28            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.28    (39)  all_25_8 = e13
% 240.93/47.28    (40)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.28            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.28            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.28    (41)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.28            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.28            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.28    (42)   ~ (e14 = e12)
% 240.93/47.28    (43)   ~ (all_14_18 = e13)
% 240.93/47.28    (44)  all_25_17 = e13
% 240.93/47.28  
% 240.93/47.28  Begin of proof
% 240.93/47.28  | 
% 240.93/47.28  | BETA: splitting (13) gives:
% 240.93/47.28  | 
% 240.93/47.28  | Case 1:
% 240.93/47.28  | | 
% 240.93/47.28  | |   (45)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12,
% 240.93/47.28  | |             e13) = e14)
% 240.93/47.28  | | 
% 240.93/47.28  | | BETA: splitting (45) gives:
% 240.93/47.28  | | 
% 240.93/47.28  | | Case 1:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (46)  all_25_6 = e14 & op1(e12, e14) = e14
% 240.93/47.28  | | | 
% 240.93/47.28  | | | REF_CLOSE: (6), (10), (46) are inconsistent by sub-proof #1007.
% 240.93/47.28  | | | 
% 240.93/47.28  | | Case 2:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (47)  all_25_7 = e14 & op1(e12, e13) = e14
% 240.93/47.28  | | | 
% 240.93/47.28  | | | ALPHA: (47) implies:
% 240.93/47.28  | | |   (48)  all_25_7 = e14
% 240.93/47.28  | | | 
% 240.93/47.28  | | | COMBINE_EQS: (29), (48) imply:
% 240.93/47.28  | | |   (49)  e14 = e10
% 240.93/47.28  | | | 
% 240.93/47.28  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 240.93/47.28  | | |            (15), (16), (18), (19), (20), (21), (22), (23), (25), (26),
% 240.93/47.28  | | |            (27), (28), (30), (31), (32), (33), (34), (35), (37), (38),
% 240.93/47.28  | | |            (40), (41), (42), (43), (44), (49) are inconsistent by
% 240.93/47.28  | | |            sub-proof #90.
% 240.93/47.28  | | | 
% 240.93/47.28  | | End of split
% 240.93/47.28  | | 
% 240.93/47.28  | Case 2:
% 240.93/47.28  | | 
% 240.93/47.28  | |   (50)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 & op1(e12,
% 240.93/47.28  | |             e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 240.93/47.28  | | 
% 240.93/47.28  | | BETA: splitting (50) gives:
% 240.93/47.28  | | 
% 240.93/47.28  | | Case 1:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (51)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.93/47.28  | | | 
% 240.93/47.28  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 240.93/47.28  | | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (25),
% 240.93/47.28  | | |            (26), (27), (28), (30), (31), (32), (34), (35), (37), (38),
% 240.93/47.28  | | |            (39), (40), (41), (42), (43), (44), (51) are inconsistent by
% 240.93/47.28  | | |            sub-proof #89.
% 240.93/47.28  | | | 
% 240.93/47.28  | | Case 2:
% 240.93/47.28  | | | 
% 240.93/47.28  | | |   (52)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 240.93/47.28  | | |           op1(e12, e10) = e14)
% 240.93/47.28  | | | 
% 240.93/47.28  | | | BETA: splitting (52) gives:
% 240.93/47.28  | | | 
% 240.93/47.28  | | | Case 1:
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | |   (53)  all_25_11 = e14 & op1(e12, e11) = e14
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | REF_CLOSE: (17), (21), (24), (53) are inconsistent by sub-proof #1162.
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | Case 2:
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | |   (54)  all_25_18 = e14 & op1(e12, e10) = e14
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | ALPHA: (54) implies:
% 240.93/47.28  | | | |   (55)  all_25_18 = e14
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | COMBINE_EQS: (36), (55) imply:
% 240.93/47.28  | | | |   (56)  e14 = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | SIMP: (56) implies:
% 240.93/47.28  | | | |   (57)  e14 = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | COMBINE_EQS: (7), (57) imply:
% 240.93/47.28  | | | |   (58)  all_25_20 = e12
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 240.93/47.28  | | | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (25),
% 240.93/47.28  | | | |            (26), (27), (28), (30), (31), (32), (34), (35), (37), (38),
% 240.93/47.28  | | | |            (40), (41), (42), (43), (44), (58) are inconsistent by
% 240.93/47.28  | | | |            sub-proof #930.
% 240.93/47.28  | | | | 
% 240.93/47.28  | | | End of split
% 240.93/47.28  | | | 
% 240.93/47.28  | | End of split
% 240.93/47.28  | | 
% 240.93/47.28  | End of split
% 240.93/47.28  | 
% 240.93/47.28  End of proof
% 240.93/47.28  
% 240.93/47.28  Sub-proof #89 shows that the following formulas are inconsistent:
% 240.93/47.28  ----------------------------------------------------------------
% 240.93/47.28    (1)  op1(e11, e10) = all_14_23
% 240.93/47.28    (2)   ~ (e14 = e10)
% 240.93/47.28    (3)  all_25_2 = e12
% 240.93/47.28    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.28           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.28           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.28    (5)  all_25_8 = e14 & op1(e12, e12) = e14
% 240.93/47.28    (6)  all_25_1 = e12
% 240.93/47.28    (7)  all_25_6 = e11
% 240.93/47.28    (8)  all_25_20 = e14
% 240.93/47.28    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.28           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.28           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.28    (10)   ~ (e12 = e11)
% 240.93/47.28    (11)   ~ (e14 = e11)
% 240.93/47.28    (12)  all_25_3 = e11
% 240.93/47.28    (13)  op1(e10, e13) = e13
% 240.93/47.28    (14)   ~ (e13 = e10)
% 240.93/47.28    (15)  op1(e11, e12) = all_14_13
% 240.93/47.28    (16)   ~ (e14 = e13)
% 240.93/47.28    (17)  op1(e13, e11) = e14
% 240.93/47.28    (18)   ~ (all_14_23 = e13)
% 240.93/47.28    (19)  all_25_21 = e13
% 240.93/47.28    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.28            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.28    (21)   ~ (e13 = e11)
% 240.93/47.28    (22)  op1(e13, e12) = e10
% 240.93/47.28    (23)   ~ (e11 = e10)
% 240.93/47.28    (24)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.28            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.28            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.28    (25)   ~ (e13 = e12)
% 240.93/47.28    (26)  op1(e13, e13) = e11
% 240.93/47.28    (27)   ~ (all_14_13 = e13)
% 240.93/47.28    (28)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.28              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.28            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.28    (29)   ~ (e12 = e10)
% 240.93/47.28    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.28            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.28            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.28    (31)  all_25_0 = e10
% 240.93/47.28    (32)  op1(e11, e11) = all_14_18
% 240.93/47.28    (33)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.28            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.28            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.28    (34)  all_25_8 = e13
% 240.93/47.28    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.28            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.28            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.28    (36)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.28            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.28            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.29    (37)   ~ (e14 = e12)
% 240.93/47.29    (38)   ~ (all_14_18 = e13)
% 240.93/47.29    (39)  all_25_17 = e13
% 240.93/47.29  
% 240.93/47.29  Begin of proof
% 240.93/47.29  | 
% 240.93/47.29  | ALPHA: (5) implies:
% 240.93/47.29  |   (40)  all_25_8 = e14
% 240.93/47.29  | 
% 240.93/47.29  | COMBINE_EQS: (34), (40) imply:
% 240.93/47.29  |   (41)  e14 = e13
% 240.93/47.29  | 
% 240.93/47.29  | SIMP: (41) implies:
% 240.93/47.29  |   (42)  e14 = e13
% 240.93/47.29  | 
% 240.93/47.29  | COMBINE_EQS: (8), (42) imply:
% 240.93/47.29  |   (43)  all_25_20 = e13
% 240.93/47.29  | 
% 240.93/47.29  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14),
% 240.93/47.29  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 240.93/47.29  |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36), (37),
% 240.93/47.29  |            (38), (39), (43) are inconsistent by sub-proof #236.
% 240.93/47.29  | 
% 240.93/47.29  End of proof
% 240.93/47.29  
% 240.93/47.29  Sub-proof #90 shows that the following formulas are inconsistent:
% 240.93/47.29  ----------------------------------------------------------------
% 240.93/47.29    (1)  op1(e11, e10) = all_14_23
% 240.93/47.29    (2)   ~ (e14 = e10)
% 240.93/47.29    (3)  all_25_2 = e12
% 240.93/47.29    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.29           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.29           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.29    (5)  all_25_1 = e12
% 240.93/47.29    (6)  all_25_20 = e14
% 240.93/47.29    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.29           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.29           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.29    (8)   ~ (e12 = e11)
% 240.93/47.29    (9)   ~ (e14 = e11)
% 240.93/47.29    (10)  all_25_3 = e11
% 240.93/47.29    (11)  op1(e10, e13) = e13
% 240.93/47.29    (12)   ~ (e13 = e10)
% 240.93/47.29    (13)  op1(e11, e12) = all_14_13
% 240.93/47.29    (14)   ~ (e14 = e13)
% 240.93/47.29    (15)  op1(e13, e11) = e14
% 240.93/47.29    (16)   ~ (all_14_23 = e13)
% 240.93/47.29    (17)  all_25_21 = e13
% 240.93/47.29    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.29            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.29    (19)   ~ (e13 = e11)
% 240.93/47.29    (20)  op1(e13, e12) = e10
% 240.93/47.29    (21)   ~ (e11 = e10)
% 240.93/47.29    (22)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 240.93/47.29            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 240.93/47.29            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 240.93/47.29    (23)   ~ (e13 = e12)
% 240.93/47.29    (24)  op1(e13, e13) = e11
% 240.93/47.29    (25)   ~ (all_14_13 = e13)
% 240.93/47.29    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.29              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.29            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.29    (27)   ~ (e12 = e10)
% 240.93/47.29    (28)  e14 = e10
% 240.93/47.29    (29)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 240.93/47.29            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 240.93/47.29            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 240.93/47.29    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 240.93/47.29            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 240.93/47.29            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 240.93/47.29    (31)  all_25_0 = e10
% 240.93/47.29    (32)  op1(e11, e11) = all_14_18
% 240.93/47.29    (33)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 240.93/47.29            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 240.93/47.29            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 240.93/47.29    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.29            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 240.93/47.29            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 240.93/47.29    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 240.93/47.29            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 240.93/47.29            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 240.93/47.29    (36)   ~ (e14 = e12)
% 240.93/47.29    (37)   ~ (all_14_18 = e13)
% 240.93/47.29    (38)  all_25_17 = e13
% 240.93/47.29  
% 240.93/47.29  Begin of proof
% 240.93/47.29  | 
% 240.93/47.29  | SIMP: (28) implies:
% 240.93/47.29  |   (39)  e14 = e10
% 240.93/47.29  | 
% 240.93/47.29  | COMBINE_EQS: (6), (39) imply:
% 240.93/47.29  |   (40)  all_25_20 = e10
% 240.93/47.29  | 
% 240.93/47.29  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 240.93/47.29  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 240.93/47.29  |            (25), (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 240.93/47.29  |            (37), (38), (40) are inconsistent by sub-proof #103.
% 240.93/47.29  | 
% 240.93/47.29  End of proof
% 240.93/47.29  
% 240.93/47.29  Sub-proof #91 shows that the following formulas are inconsistent:
% 240.93/47.29  ----------------------------------------------------------------
% 240.93/47.29    (1)  all_25_6 = e14
% 240.93/47.29    (2)  op1(e11, e10) = all_14_23
% 240.93/47.29    (3)   ~ (e14 = e10)
% 240.93/47.29    (4)  all_25_2 = e12
% 240.93/47.29    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 240.93/47.29           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 240.93/47.29           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 240.93/47.29    (6)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 240.93/47.29           = e11)
% 240.93/47.29    (7)  all_25_1 = e12
% 240.93/47.29    (8)  all_25_20 = e11
% 240.93/47.29    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 240.93/47.29           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 240.93/47.29           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 240.93/47.29    (10)   ~ (e12 = e11)
% 240.93/47.29    (11)   ~ (e14 = e11)
% 240.93/47.29    (12)  all_25_3 = e11
% 240.93/47.29    (13)  op1(e10, e13) = e13
% 240.93/47.29    (14)   ~ (e13 = e10)
% 240.93/47.29    (15)  op1(e11, e12) = all_14_13
% 240.93/47.29    (16)   ~ (e14 = e13)
% 240.93/47.29    (17)  all_25_13 = e14
% 240.93/47.29    (18)   ~ (all_14_23 = e13)
% 240.93/47.29    (19)  all_25_21 = e13
% 240.93/47.29    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 240.93/47.29            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 240.93/47.29    (21)   ~ (e13 = e11)
% 240.93/47.29    (22)  op1(e13, e12) = e10
% 240.93/47.29    (23)   ~ (e11 = e10)
% 240.93/47.29    (24)   ~ (e13 = e12)
% 240.93/47.29    (25)  op1(e13, e13) = e11
% 240.93/47.29    (26)  all_25_7 = e10
% 240.93/47.29    (27)   ~ (all_14_13 = e13)
% 240.93/47.29    (28)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 240.93/47.29              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 240.93/47.29            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 240.93/47.29    (29)   ~ (e12 = e10)
% 241.07/47.29    (30)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 241.07/47.29            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 241.07/47.29            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.29    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.29            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.29            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.29    (32)  all_25_0 = e10
% 241.07/47.29    (33)  op1(e11, e11) = all_14_18
% 241.07/47.29    (34)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.29            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.29            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.29    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.29            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.29            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.29    (36)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.29            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.29            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.29    (37)   ~ (e14 = e12)
% 241.07/47.29    (38)   ~ (all_14_18 = e13)
% 241.07/47.29    (39)  all_25_17 = e13
% 241.07/47.29  
% 241.07/47.29  Begin of proof
% 241.07/47.29  | 
% 241.07/47.29  | BETA: splitting (6) gives:
% 241.07/47.29  | 
% 241.07/47.29  | Case 1:
% 241.07/47.29  | | 
% 241.07/47.29  | |   (40)  all_25_6 = e11 & op1(e12, e14) = e11
% 241.07/47.29  | | 
% 241.07/47.29  | | REF_CLOSE: (1), (3), (7), (11), (12), (13), (16), (17), (20), (26), (36),
% 241.07/47.29  | |            (37), (40) are inconsistent by sub-proof #942.
% 241.07/47.29  | | 
% 241.07/47.29  | Case 2:
% 241.07/47.29  | | 
% 241.07/47.29  | |   (41)  all_25_7 = e11 & op1(e12, e13) = e11
% 241.07/47.29  | | 
% 241.07/47.29  | | ALPHA: (41) implies:
% 241.07/47.29  | |   (42)  all_25_7 = e11
% 241.07/47.29  | | 
% 241.07/47.29  | | COMBINE_EQS: (26), (42) imply:
% 241.07/47.29  | |   (43)  e11 = e10
% 241.07/47.29  | | 
% 241.07/47.29  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 241.07/47.29  | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 241.07/47.29  | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 241.07/47.29  | |            (38), (39), (43) are inconsistent by sub-proof #97.
% 241.07/47.29  | | 
% 241.07/47.29  | End of split
% 241.07/47.29  | 
% 241.07/47.29  End of proof
% 241.07/47.29  
% 241.07/47.29  Sub-proof #92 shows that the following formulas are inconsistent:
% 241.07/47.29  ----------------------------------------------------------------
% 241.07/47.29    (1)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.07/47.29    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.29           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.29    (3)  op1(e11, e11) = all_14_18
% 241.07/47.29    (4)   ~ (all_14_18 = e10)
% 241.07/47.29  
% 241.07/47.29  Begin of proof
% 241.07/47.29  | 
% 241.07/47.29  | ALPHA: (1) implies:
% 241.07/47.29  |   (5)  op1(e11, e11) = e10
% 241.07/47.29  | 
% 241.07/47.29  | GROUND_INST: instantiating (2) with all_14_18, e10, e11, e11, simplifying with
% 241.07/47.29  |              (3), (5) gives:
% 241.07/47.29  |   (6)  all_14_18 = e10
% 241.07/47.29  | 
% 241.07/47.29  | REDUCE: (4), (6) imply:
% 241.07/47.29  |   (7)  $false
% 241.07/47.29  | 
% 241.07/47.29  | CLOSE: (7) is inconsistent.
% 241.07/47.29  | 
% 241.07/47.29  End of proof
% 241.07/47.29  
% 241.07/47.29  Sub-proof #93 shows that the following formulas are inconsistent:
% 241.07/47.29  ----------------------------------------------------------------
% 241.07/47.29    (1)   ~ (e14 = e10)
% 241.07/47.29    (2)  all_25_2 = e12
% 241.07/47.29    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.29           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.29           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.29    (4)   ~ (e14 = e11)
% 241.07/47.29    (5)  all_25_3 = e11
% 241.07/47.29    (6)   ~ (e13 = e10)
% 241.07/47.29    (7)   ~ (e14 = e13)
% 241.07/47.29    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.29           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.29    (9)   ~ (e13 = e11)
% 241.07/47.29    (10)  op1(e13, e12) = e10
% 241.07/47.29    (11)  all_25_12 = e13
% 241.07/47.29    (12)   ~ (e13 = e12)
% 241.07/47.29    (13)  op1(e13, e13) = e11
% 241.07/47.29    (14)  all_25_12 = e10 & op1(e11, e14) = e10
% 241.07/47.29    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.29            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.29            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.29    (16)   ~ (e14 = e12)
% 241.07/47.29    (17)  all_25_17 = e13
% 241.07/47.29  
% 241.07/47.29  Begin of proof
% 241.07/47.29  | 
% 241.07/47.29  | ALPHA: (14) implies:
% 241.07/47.29  |   (18)  all_25_12 = e10
% 241.07/47.29  | 
% 241.07/47.29  | COMBINE_EQS: (11), (18) imply:
% 241.07/47.29  |   (19)  e13 = e10
% 241.07/47.29  | 
% 241.07/47.29  | COMBINE_EQS: (17), (19) imply:
% 241.07/47.29  |   (20)  all_25_17 = e10
% 241.07/47.29  | 
% 241.07/47.29  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 241.07/47.29  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 241.07/47.29  | 
% 241.07/47.29  End of proof
% 241.07/47.29  
% 241.07/47.29  Sub-proof #94 shows that the following formulas are inconsistent:
% 241.07/47.29  ----------------------------------------------------------------
% 241.07/47.29    (1)  all_25_6 = e14
% 241.07/47.29    (2)  op1(e12, e13) = all_14_7
% 241.07/47.29    (3)   ~ (e14 = e10)
% 241.07/47.29    (4)  all_25_2 = e12
% 241.07/47.29    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.29           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.29           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.29    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.29           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.29           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.30    (7)   ~ (all_14_7 = e12)
% 241.07/47.30    (8)   ~ (e12 = e11)
% 241.07/47.30    (9)   ~ (e14 = e11)
% 241.07/47.30    (10)   ~ (e13 = e10)
% 241.07/47.30    (11)   ~ (e14 = e13)
% 241.07/47.30    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.30            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.30    (13)   ~ (e13 = e11)
% 241.07/47.30    (14)  op1(e13, e12) = e10
% 241.07/47.30    (15)  all_25_11 = e11
% 241.07/47.30    (16)   ~ (e11 = e10)
% 241.07/47.30    (17)   ~ (e13 = e12)
% 241.07/47.30    (18)  op1(e13, e13) = e11
% 241.07/47.30    (19)   ~ (e12 = e10)
% 241.07/47.30    (20)  all_25_18 = e10
% 241.07/47.30    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.30            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.30            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.30    (22)  all_25_8 = e13
% 241.07/47.30    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.30            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.30            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.30    (24)   ~ (e14 = e12)
% 241.07/47.30    (25)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.07/47.30            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 241.07/47.30            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.07/47.30  
% 241.07/47.30  Begin of proof
% 241.07/47.30  | 
% 241.07/47.30  | BETA: splitting (25) gives:
% 241.07/47.30  | 
% 241.07/47.30  | Case 1:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (26)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 241.07/47.30  | |             e13) = e12)
% 241.07/47.30  | | 
% 241.07/47.30  | | REF_CLOSE: (1), (2), (7), (12), (24), (26) are inconsistent by sub-proof
% 241.07/47.30  | |            #96.
% 241.07/47.30  | | 
% 241.07/47.30  | Case 2:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (27)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 & op1(e12,
% 241.07/47.30  | |             e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.07/47.30  | | 
% 241.07/47.30  | | BETA: splitting (27) gives:
% 241.07/47.30  | | 
% 241.07/47.30  | | Case 1:
% 241.07/47.30  | | | 
% 241.07/47.30  | | |   (28)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.07/47.30  | | | 
% 241.07/47.30  | | | REF_CLOSE: (17), (22), (28) are inconsistent by sub-proof #944.
% 241.07/47.30  | | | 
% 241.07/47.30  | | Case 2:
% 241.07/47.30  | | | 
% 241.07/47.30  | | |   (29)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 241.07/47.30  | | |           op1(e12, e10) = e12)
% 241.07/47.30  | | | 
% 241.07/47.30  | | | BETA: splitting (29) gives:
% 241.07/47.30  | | | 
% 241.07/47.30  | | | Case 1:
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | |   (30)  all_25_11 = e12 & op1(e12, e11) = e12
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | | ALPHA: (30) implies:
% 241.07/47.30  | | | |   (31)  all_25_11 = e12
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | | REF_CLOSE: (8), (15), (31) are inconsistent by sub-proof #1167.
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | Case 2:
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | |   (32)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | | ALPHA: (32) implies:
% 241.07/47.30  | | | |   (33)  all_25_18 = e12
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 241.07/47.30  | | | |            (16), (17), (18), (19), (20), (21), (23), (24), (33) are
% 241.07/47.30  | | | |            inconsistent by sub-proof #977.
% 241.07/47.30  | | | | 
% 241.07/47.30  | | | End of split
% 241.07/47.30  | | | 
% 241.07/47.30  | | End of split
% 241.07/47.30  | | 
% 241.07/47.30  | End of split
% 241.07/47.30  | 
% 241.07/47.30  End of proof
% 241.07/47.30  
% 241.07/47.30  Sub-proof #95 shows that the following formulas are inconsistent:
% 241.07/47.30  ----------------------------------------------------------------
% 241.07/47.30    (1)  all_25_6 = e14
% 241.07/47.30    (2)  op1(e12, e13) = all_14_7
% 241.07/47.30    (3)   ~ (e14 = e10)
% 241.07/47.30    (4)  all_25_2 = e12
% 241.07/47.30    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.30           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.30           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.30    (6)  op1(e12, e10) = e11
% 241.07/47.30    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.30           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.30           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.30    (8)   ~ (all_14_7 = e12)
% 241.07/47.30    (9)   ~ (e12 = e11)
% 241.07/47.30    (10)   ~ (e14 = e11)
% 241.07/47.30    (11)   ~ (e13 = e10)
% 241.07/47.30    (12)   ~ (e14 = e13)
% 241.07/47.30    (13)  all_25_11 = e10
% 241.07/47.30    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.30            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.30    (15)   ~ (e13 = e11)
% 241.07/47.30    (16)  op1(e13, e12) = e10
% 241.07/47.30    (17)   ~ (e11 = e10)
% 241.07/47.30    (18)   ~ (e13 = e12)
% 241.07/47.30    (19)  op1(e13, e13) = e11
% 241.07/47.30    (20)   ~ (e12 = e10)
% 241.07/47.30    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.30            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.30            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.30    (22)  all_25_8 = e13
% 241.07/47.30    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.30            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.30            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.30    (24)   ~ (e14 = e12)
% 241.07/47.30    (25)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.07/47.30            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 241.07/47.30            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.07/47.30  
% 241.07/47.30  Begin of proof
% 241.07/47.30  | 
% 241.07/47.30  | BETA: splitting (25) gives:
% 241.07/47.30  | 
% 241.07/47.30  | Case 1:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (26)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 241.07/47.30  | |             e13) = e12)
% 241.07/47.30  | | 
% 241.07/47.30  | | REF_CLOSE: (1), (2), (8), (14), (24), (26) are inconsistent by sub-proof
% 241.07/47.30  | |            #96.
% 241.07/47.30  | | 
% 241.07/47.30  | Case 2:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (27)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 & op1(e12,
% 241.07/47.30  | |             e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.07/47.30  | | 
% 241.07/47.30  | | BETA: splitting (27) gives:
% 241.07/47.30  | | 
% 241.07/47.30  | | Case 1:
% 241.07/47.30  | | | 
% 241.07/47.30  | | |   (28)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.07/47.30  | | | 
% 241.07/47.30  | | | REF_CLOSE: (18), (22), (28) are inconsistent by sub-proof #944.
% 241.07/47.30  | | | 
% 241.07/47.30  | | Case 2:
% 241.07/47.30  | | | 
% 241.07/47.30  | | |   (29)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 241.07/47.30  | | |           op1(e12, e10) = e12)
% 241.07/47.30  | | | 
% 241.07/47.30  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 241.07/47.30  | | |            (15), (16), (17), (18), (19), (20), (21), (23), (24), (29) are
% 241.07/47.30  | | |            inconsistent by sub-proof #147.
% 241.07/47.30  | | | 
% 241.07/47.30  | | End of split
% 241.07/47.30  | | 
% 241.07/47.30  | End of split
% 241.07/47.30  | 
% 241.07/47.30  End of proof
% 241.07/47.30  
% 241.07/47.30  Sub-proof #96 shows that the following formulas are inconsistent:
% 241.07/47.30  ----------------------------------------------------------------
% 241.07/47.30    (1)  all_25_6 = e14
% 241.07/47.30    (2)  op1(e12, e13) = all_14_7
% 241.07/47.30    (3)   ~ (all_14_7 = e12)
% 241.07/47.30    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.30           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.30    (5)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.07/47.30           = e12)
% 241.07/47.30    (6)   ~ (e14 = e12)
% 241.07/47.30  
% 241.07/47.30  Begin of proof
% 241.07/47.30  | 
% 241.07/47.30  | BETA: splitting (5) gives:
% 241.07/47.30  | 
% 241.07/47.30  | Case 1:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (7)  all_25_6 = e12 & op1(e12, e14) = e12
% 241.07/47.30  | | 
% 241.07/47.30  | | ALPHA: (7) implies:
% 241.07/47.30  | |   (8)  all_25_6 = e12
% 241.07/47.30  | | 
% 241.07/47.30  | | COMBINE_EQS: (1), (8) imply:
% 241.07/47.30  | |   (9)  e14 = e12
% 241.07/47.30  | | 
% 241.07/47.30  | | REDUCE: (6), (9) imply:
% 241.07/47.30  | |   (10)  $false
% 241.07/47.30  | | 
% 241.07/47.30  | | CLOSE: (10) is inconsistent.
% 241.07/47.30  | | 
% 241.07/47.30  | Case 2:
% 241.07/47.30  | | 
% 241.07/47.30  | |   (11)  all_25_7 = e12 & op1(e12, e13) = e12
% 241.07/47.30  | | 
% 241.07/47.30  | | ALPHA: (11) implies:
% 241.07/47.30  | |   (12)  op1(e12, e13) = e12
% 241.07/47.30  | | 
% 241.07/47.30  | | REF_CLOSE: (2), (3), (4), (12) are inconsistent by sub-proof #1296.
% 241.07/47.30  | | 
% 241.07/47.30  | End of split
% 241.07/47.30  | 
% 241.07/47.30  End of proof
% 241.07/47.30  
% 241.07/47.30  Sub-proof #97 shows that the following formulas are inconsistent:
% 241.07/47.30  ----------------------------------------------------------------
% 241.07/47.30    (1)  all_25_6 = e14
% 241.07/47.30    (2)  op1(e11, e10) = all_14_23
% 241.07/47.30    (3)   ~ (e14 = e10)
% 241.07/47.30    (4)  all_25_2 = e12
% 241.07/47.30    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.30           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.30           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.30    (6)  all_25_1 = e12
% 241.07/47.30    (7)  all_25_20 = e11
% 241.07/47.30    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.30           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.30           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.30    (9)   ~ (e12 = e11)
% 241.07/47.30    (10)   ~ (e14 = e11)
% 241.07/47.30    (11)  all_25_3 = e11
% 241.07/47.30    (12)  op1(e10, e13) = e13
% 241.07/47.30    (13)   ~ (e13 = e10)
% 241.07/47.30    (14)  op1(e11, e12) = all_14_13
% 241.07/47.30    (15)   ~ (e14 = e13)
% 241.07/47.30    (16)   ~ (all_14_23 = e13)
% 241.07/47.30    (17)  all_25_21 = e13
% 241.07/47.30    (18)  e11 = e10
% 241.07/47.30    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.30            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.30    (20)   ~ (e13 = e11)
% 241.07/47.30    (21)  op1(e13, e12) = e10
% 241.07/47.30    (22)   ~ (e11 = e10)
% 241.07/47.30    (23)   ~ (e13 = e12)
% 241.07/47.30    (24)  op1(e13, e13) = e11
% 241.07/47.30    (25)   ~ (all_14_13 = e13)
% 241.07/47.30    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.07/47.30              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.07/47.30            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.07/47.30    (27)   ~ (e12 = e10)
% 241.07/47.30    (28)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 241.07/47.30            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 241.07/47.30            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.30    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.30            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.30            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.30    (30)  all_25_0 = e10
% 241.07/47.30    (31)  op1(e11, e11) = all_14_18
% 241.07/47.30    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.30            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.30            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.30    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.30            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.30            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.30    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.30            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.30            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.30    (35)   ~ (e14 = e12)
% 241.07/47.30    (36)   ~ (all_14_18 = e13)
% 241.07/47.30    (37)  all_25_17 = e13
% 241.07/47.30  
% 241.07/47.30  Begin of proof
% 241.07/47.30  | 
% 241.07/47.30  | SIMP: (18) implies:
% 241.07/47.30  |   (38)  e11 = e10
% 241.07/47.30  | 
% 241.07/47.30  | COMBINE_EQS: (7), (38) imply:
% 241.07/47.30  |   (39)  all_25_20 = e10
% 241.07/47.30  | 
% 241.07/47.30  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 241.07/47.30  |            (14), (15), (16), (17), (19), (20), (21), (22), (23), (24), (25),
% 241.07/47.30  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 241.07/47.30  |            (37), (39) are inconsistent by sub-proof #104.
% 241.07/47.30  | 
% 241.07/47.30  End of proof
% 241.07/47.30  
% 241.07/47.30  Sub-proof #98 shows that the following formulas are inconsistent:
% 241.07/47.30  ----------------------------------------------------------------
% 241.07/47.30    (1)  op1(e11, e10) = all_14_23
% 241.07/47.30    (2)   ~ (e14 = e10)
% 241.07/47.30    (3)  all_25_2 = e12
% 241.07/47.30    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.30           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.30           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.30    (5)  all_25_1 = e12
% 241.07/47.30    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.30           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.30           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.30    (7)   ~ (e12 = e11)
% 241.07/47.30    (8)   ~ (e14 = e11)
% 241.07/47.30    (9)  all_25_3 = e11
% 241.07/47.30    (10)  op1(e10, e13) = e13
% 241.07/47.30    (11)   ~ (e13 = e10)
% 241.07/47.30    (12)  op1(e11, e12) = all_14_13
% 241.07/47.30    (13)   ~ (e14 = e13)
% 241.07/47.30    (14)   ~ (all_14_23 = e13)
% 241.07/47.30    (15)  all_25_21 = e13
% 241.07/47.31    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.31            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.31    (17)   ~ (e13 = e11)
% 241.07/47.31    (18)  op1(e13, e12) = e10
% 241.07/47.31    (19)  all_25_12 = e13
% 241.07/47.31    (20)   ~ (e11 = e10)
% 241.07/47.31    (21)   ~ (e13 = e12)
% 241.07/47.31    (22)  op1(e13, e13) = e11
% 241.07/47.31    (23)   ~ (all_14_13 = e13)
% 241.07/47.31    (24)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.07/47.31              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.07/47.31            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.07/47.31    (25)   ~ (e12 = e10)
% 241.07/47.31    (26)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 241.07/47.31            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 241.07/47.31            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 241.07/47.31    (27)  all_25_22 = e10
% 241.07/47.31    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.31            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.31            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.31    (29)  op1(e14, e12) = all_14_10
% 241.07/47.31    (30)   ~ (all_14_10 = e12)
% 241.07/47.31    (31)  op1(e11, e11) = all_14_18
% 241.07/47.31    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.31            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.31            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.31    (33)  all_25_8 = e13
% 241.07/47.31    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.31            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.31            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.31    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.31            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.31            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.31    (36)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 241.07/47.31            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 241.07/47.31            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.07/47.31    (37)   ~ (e14 = e12)
% 241.07/47.31    (38)   ~ (all_14_18 = e13)
% 241.07/47.31    (39)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 241.07/47.31            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 241.07/47.31            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 241.07/47.31    (40)  all_25_17 = e13
% 241.07/47.31  
% 241.07/47.31  Begin of proof
% 241.07/47.31  | 
% 241.07/47.31  | BETA: splitting (26) gives:
% 241.07/47.31  | 
% 241.07/47.31  | Case 1:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (41)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13,
% 241.07/47.31  | |             e12) = e12)
% 241.07/47.31  | | 
% 241.07/47.31  | | REF_CLOSE: (16), (18), (25), (29), (30), (41) are inconsistent by sub-proof
% 241.07/47.31  | |            #1081.
% 241.07/47.31  | | 
% 241.07/47.31  | Case 2:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (42)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 & op1(e11,
% 241.07/47.31  | |             e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 241.07/47.31  | | 
% 241.07/47.31  | | BETA: splitting (42) gives:
% 241.07/47.31  | | 
% 241.07/47.31  | | Case 1:
% 241.07/47.31  | | | 
% 241.07/47.31  | | |   (43)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.07/47.31  | | | 
% 241.07/47.31  | | | REF_CLOSE: (21), (33), (43) are inconsistent by sub-proof #944.
% 241.07/47.31  | | | 
% 241.07/47.31  | | Case 2:
% 241.07/47.31  | | | 
% 241.07/47.31  | | |   (44)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 241.07/47.31  | | |           op1(e10, e12) = e12)
% 241.07/47.31  | | | 
% 241.07/47.31  | | | BETA: splitting (44) gives:
% 241.07/47.31  | | | 
% 241.07/47.31  | | | Case 1:
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | |   (45)  all_25_14 = e12 & op1(e11, e12) = e12
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | ALPHA: (45) implies:
% 241.07/47.31  | | | |   (46)  all_25_14 = e12
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | BETA: splitting (39) gives:
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | Case 1:
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | |   (47)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 &
% 241.07/47.31  | | | | |           op1(e13, e12) = e11)
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | | BETA: splitting (47) gives:
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | | Case 1:
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | |   (48)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | | ALPHA: (48) implies:
% 241.07/47.31  | | | | | |   (49)  all_25_4 = e11
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | | REF_CLOSE: (2), (8), (13), (16), (18), (27), (33), (36), (37), (46),
% 241.07/47.31  | | | | | |            (49) are inconsistent by sub-proof #102.
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | Case 2:
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | |   (50)  all_25_5 = e11 & op1(e13, e12) = e11
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | | REF_CLOSE: (16), (18), (20), (50) are inconsistent by sub-proof
% 241.07/47.31  | | | | | |            #1285.
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | End of split
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | Case 2:
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | |   (51)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 241.07/47.31  | | | | |           op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) =
% 241.07/47.31  | | | | |           e11)
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | | BETA: splitting (51) gives:
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | | Case 1:
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | |   (52)  all_25_8 = e11 & op1(e12, e12) = e11
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 241.07/47.31  | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20),
% 241.07/47.31  | | | | | |            (21), (22), (23), (24), (25), (28), (31), (32), (33),
% 241.07/47.31  | | | | | |            (34), (35), (37), (38), (40), (52) are inconsistent by
% 241.07/47.31  | | | | | |            sub-proof #488.
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | Case 2:
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | |   (53)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 241.07/47.31  | | | | | |           op1(e10, e12) = e11)
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | | REF_CLOSE: (7), (20), (27), (46), (53) are inconsistent by sub-proof
% 241.07/47.31  | | | | | |            #100.
% 241.07/47.31  | | | | | | 
% 241.07/47.31  | | | | | End of split
% 241.07/47.31  | | | | | 
% 241.07/47.31  | | | | End of split
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | Case 2:
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | |   (54)  all_25_22 = e12 & op1(e10, e12) = e12
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (11), (13), (16), (17), (18),
% 241.07/47.31  | | | |            (20), (21), (22), (25), (27), (28), (34), (37), (54) are
% 241.07/47.31  | | | |            inconsistent by sub-proof #99.
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | End of split
% 241.07/47.31  | | | 
% 241.07/47.31  | | End of split
% 241.07/47.31  | | 
% 241.07/47.31  | End of split
% 241.07/47.31  | 
% 241.07/47.31  End of proof
% 241.07/47.31  
% 241.07/47.31  Sub-proof #99 shows that the following formulas are inconsistent:
% 241.07/47.31  ----------------------------------------------------------------
% 241.07/47.31    (1)   ~ (e14 = e10)
% 241.07/47.31    (2)  all_25_2 = e12
% 241.07/47.31    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.31           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.31           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.31    (4)  all_25_22 = e12 & op1(e10, e12) = e12
% 241.07/47.31    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.31           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.31           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.31    (6)   ~ (e12 = e11)
% 241.07/47.31    (7)   ~ (e14 = e11)
% 241.07/47.31    (8)   ~ (e13 = e10)
% 241.07/47.31    (9)   ~ (e14 = e13)
% 241.07/47.31    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.31            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.31    (11)   ~ (e13 = e11)
% 241.07/47.31    (12)  op1(e13, e12) = e10
% 241.07/47.31    (13)   ~ (e11 = e10)
% 241.07/47.31    (14)   ~ (e13 = e12)
% 241.07/47.31    (15)  op1(e13, e13) = e11
% 241.07/47.31    (16)   ~ (e12 = e10)
% 241.07/47.31    (17)  all_25_22 = e10
% 241.07/47.31    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.31            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.31            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.31    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.31            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.31            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.31    (20)   ~ (e14 = e12)
% 241.07/47.31  
% 241.07/47.31  Begin of proof
% 241.07/47.31  | 
% 241.07/47.31  | ALPHA: (4) implies:
% 241.07/47.31  |   (21)  all_25_22 = e12
% 241.07/47.31  | 
% 241.07/47.31  | COMBINE_EQS: (17), (21) imply:
% 241.07/47.31  |   (22)  e12 = e10
% 241.07/47.31  | 
% 241.07/47.31  | SIMP: (22) implies:
% 241.07/47.31  |   (23)  e12 = e10
% 241.07/47.31  | 
% 241.07/47.31  | COMBINE_EQS: (2), (23) imply:
% 241.07/47.31  |   (24)  all_25_2 = e10
% 241.07/47.31  | 
% 241.07/47.31  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.07/47.31  |            (15), (16), (18), (19), (20), (24) are inconsistent by sub-proof
% 241.07/47.31  |            #1281.
% 241.07/47.31  | 
% 241.07/47.31  End of proof
% 241.07/47.31  
% 241.07/47.31  Sub-proof #100 shows that the following formulas are inconsistent:
% 241.07/47.31  ----------------------------------------------------------------
% 241.07/47.31    (1)  all_25_14 = e12
% 241.07/47.31    (2)   ~ (e12 = e11)
% 241.07/47.31    (3)   ~ (e11 = e10)
% 241.07/47.31    (4)  all_25_22 = e10
% 241.07/47.31    (5)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10,
% 241.07/47.31             e12) = e11)
% 241.07/47.31  
% 241.07/47.31  Begin of proof
% 241.07/47.31  | 
% 241.07/47.31  | BETA: splitting (5) gives:
% 241.07/47.31  | 
% 241.07/47.31  | Case 1:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (6)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.07/47.31  | | 
% 241.07/47.31  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1108.
% 241.07/47.31  | | 
% 241.07/47.31  | Case 2:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (7)  all_25_22 = e11 & op1(e10, e12) = e11
% 241.07/47.31  | | 
% 241.07/47.31  | | ALPHA: (7) implies:
% 241.07/47.31  | |   (8)  all_25_22 = e11
% 241.07/47.31  | | 
% 241.07/47.31  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #101.
% 241.07/47.31  | | 
% 241.07/47.31  | End of split
% 241.07/47.31  | 
% 241.07/47.31  End of proof
% 241.07/47.31  
% 241.07/47.31  Sub-proof #101 shows that the following formulas are inconsistent:
% 241.07/47.31  ----------------------------------------------------------------
% 241.07/47.31    (1)  all_25_22 = e11
% 241.07/47.31    (2)  all_25_22 = e10
% 241.07/47.31    (3)   ~ (e11 = e10)
% 241.07/47.31  
% 241.07/47.31  Begin of proof
% 241.07/47.31  | 
% 241.07/47.31  | COMBINE_EQS: (1), (2) imply:
% 241.07/47.31  |   (4)  e11 = e10
% 241.07/47.31  | 
% 241.07/47.31  | SIMP: (4) implies:
% 241.07/47.31  |   (5)  e11 = e10
% 241.07/47.31  | 
% 241.07/47.31  | REDUCE: (3), (5) imply:
% 241.07/47.31  |   (6)  $false
% 241.07/47.31  | 
% 241.07/47.31  | CLOSE: (6) is inconsistent.
% 241.07/47.31  | 
% 241.07/47.31  End of proof
% 241.07/47.31  
% 241.07/47.31  Sub-proof #102 shows that the following formulas are inconsistent:
% 241.07/47.31  ----------------------------------------------------------------
% 241.07/47.31    (1)   ~ (e14 = e10)
% 241.07/47.31    (2)  all_25_14 = e12
% 241.07/47.31    (3)   ~ (e14 = e11)
% 241.07/47.31    (4)   ~ (e14 = e13)
% 241.07/47.31    (5)  all_25_4 = e11
% 241.07/47.31    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.31           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.31    (7)  op1(e13, e12) = e10
% 241.07/47.31    (8)  all_25_22 = e10
% 241.07/47.31    (9)  all_25_8 = e13
% 241.07/47.31    (10)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 241.07/47.31            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 241.07/47.31            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.07/47.31    (11)   ~ (e14 = e12)
% 241.07/47.31  
% 241.07/47.31  Begin of proof
% 241.07/47.31  | 
% 241.07/47.31  | BETA: splitting (10) gives:
% 241.07/47.31  | 
% 241.07/47.31  | Case 1:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (12)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 241.07/47.31  | |             e12) = e14)
% 241.07/47.31  | | 
% 241.07/47.31  | | REF_CLOSE: (1), (3), (5), (6), (7), (12) are inconsistent by sub-proof #383.
% 241.07/47.31  | | 
% 241.07/47.31  | Case 2:
% 241.07/47.31  | | 
% 241.07/47.31  | |   (13)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 & op1(e11,
% 241.07/47.31  | |             e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.07/47.31  | | 
% 241.07/47.31  | | BETA: splitting (13) gives:
% 241.07/47.31  | | 
% 241.07/47.31  | | Case 1:
% 241.07/47.31  | | | 
% 241.07/47.31  | | |   (14)  all_25_8 = e14 & op1(e12, e12) = e14
% 241.07/47.31  | | | 
% 241.07/47.31  | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #918.
% 241.07/47.31  | | | 
% 241.07/47.31  | | Case 2:
% 241.07/47.31  | | | 
% 241.07/47.31  | | |   (15)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 &
% 241.07/47.31  | | |           op1(e10, e12) = e14)
% 241.07/47.31  | | | 
% 241.07/47.31  | | | BETA: splitting (15) gives:
% 241.07/47.31  | | | 
% 241.07/47.31  | | | Case 1:
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | |   (16)  all_25_14 = e14 & op1(e11, e12) = e14
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | REF_CLOSE: (2), (11), (16) are inconsistent by sub-proof #1116.
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | Case 2:
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | |   (17)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | | REF_CLOSE: (1), (8), (17) are inconsistent by sub-proof #128.
% 241.07/47.31  | | | | 
% 241.07/47.31  | | | End of split
% 241.07/47.31  | | | 
% 241.07/47.31  | | End of split
% 241.07/47.31  | | 
% 241.07/47.31  | End of split
% 241.07/47.31  | 
% 241.07/47.31  End of proof
% 241.07/47.31  
% 241.07/47.31  Sub-proof #103 shows that the following formulas are inconsistent:
% 241.07/47.31  ----------------------------------------------------------------
% 241.07/47.31    (1)  op1(e11, e10) = all_14_23
% 241.07/47.31    (2)   ~ (e14 = e10)
% 241.07/47.31    (3)  all_25_2 = e12
% 241.07/47.31    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.31           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.31           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.31    (5)  all_25_1 = e12
% 241.07/47.31    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.31           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.31           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.31    (7)   ~ (e12 = e11)
% 241.07/47.31    (8)   ~ (e14 = e11)
% 241.07/47.31    (9)  all_25_3 = e11
% 241.07/47.31    (10)  op1(e10, e13) = e13
% 241.07/47.31    (11)   ~ (e13 = e10)
% 241.07/47.31    (12)  op1(e11, e12) = all_14_13
% 241.07/47.31    (13)   ~ (e14 = e13)
% 241.07/47.31    (14)  op1(e13, e11) = e14
% 241.07/47.31    (15)   ~ (all_14_23 = e13)
% 241.07/47.31    (16)  all_25_21 = e13
% 241.07/47.31    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.31            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.31    (18)   ~ (e13 = e11)
% 241.07/47.31    (19)  all_25_20 = e10
% 241.07/47.31    (20)  op1(e13, e12) = e10
% 241.07/47.31    (21)   ~ (e11 = e10)
% 241.07/47.31    (22)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.07/47.31            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 241.07/47.31            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.07/47.31    (23)   ~ (e13 = e12)
% 241.07/47.31    (24)  op1(e13, e13) = e11
% 241.07/47.32    (25)   ~ (all_14_13 = e13)
% 241.07/47.32    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.07/47.32              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.07/47.32            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.07/47.32    (27)   ~ (e12 = e10)
% 241.07/47.32    (28)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 241.07/47.32            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 241.07/47.32            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.32    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.32            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.32            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.32    (30)  all_25_0 = e10
% 241.07/47.32    (31)  op1(e11, e11) = all_14_18
% 241.07/47.32    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.32            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.32            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.32    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.32            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.32    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.32            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.32    (35)   ~ (e14 = e12)
% 241.07/47.32    (36)   ~ (all_14_18 = e13)
% 241.07/47.32    (37)  all_25_17 = e13
% 241.07/47.32  
% 241.07/47.32  Begin of proof
% 241.07/47.32  | 
% 241.07/47.32  | BETA: splitting (22) gives:
% 241.07/47.32  | 
% 241.07/47.32  | Case 1:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (38)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 241.07/47.32  | |             e14) = e14)
% 241.07/47.32  | | 
% 241.07/47.32  | | BETA: splitting (38) gives:
% 241.07/47.32  | | 
% 241.07/47.32  | | Case 1:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (39)  all_25_0 = e14 & op1(e14, e14) = e14
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (2), (30), (39) are inconsistent by sub-proof #1220.
% 241.07/47.32  | | | 
% 241.07/47.32  | | Case 2:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (40)  all_25_2 = e14 & op1(e13, e14) = e14
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (4), (7), (11), (13), (14), (17), (18), (20), (23), (24), (27),
% 241.07/47.32  | | |            (29), (35), (40) are inconsistent by sub-proof #1185.
% 241.07/47.32  | | | 
% 241.07/47.32  | | End of split
% 241.07/47.32  | | 
% 241.07/47.32  | Case 2:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (41)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 & op1(e11,
% 241.07/47.32  | |             e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.07/47.32  | | 
% 241.07/47.32  | | BETA: splitting (41) gives:
% 241.07/47.32  | | 
% 241.07/47.32  | | Case 1:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (42)  all_25_6 = e14 & op1(e12, e14) = e14
% 241.07/47.32  | | | 
% 241.07/47.32  | | | ALPHA: (42) implies:
% 241.07/47.32  | | |   (43)  all_25_6 = e14
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.07/47.32  | | |            (13), (15), (16), (17), (18), (19), (20), (21), (23), (24),
% 241.07/47.32  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 241.07/47.32  | | |            (35), (36), (37), (43) are inconsistent by sub-proof #104.
% 241.07/47.32  | | | 
% 241.07/47.32  | | Case 2:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (44)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 241.07/47.32  | | |           op1(e10, e14) = e14)
% 241.07/47.32  | | | 
% 241.07/47.32  | | | BETA: splitting (44) gives:
% 241.07/47.32  | | | 
% 241.07/47.32  | | | Case 1:
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | |   (45)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 241.07/47.32  | | | |            (12), (13), (15), (16), (17), (18), (20), (21), (23), (24),
% 241.07/47.32  | | | |            (25), (26), (27), (29), (31), (32), (33), (34), (35), (36),
% 241.07/47.32  | | | |            (37), (45) are inconsistent by sub-proof #931.
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | Case 2:
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | |   (46)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | | REF_CLOSE: (2), (19), (46) are inconsistent by sub-proof #1214.
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | End of split
% 241.07/47.32  | | | 
% 241.07/47.32  | | End of split
% 241.07/47.32  | | 
% 241.07/47.32  | End of split
% 241.07/47.32  | 
% 241.07/47.32  End of proof
% 241.07/47.32  
% 241.07/47.32  Sub-proof #104 shows that the following formulas are inconsistent:
% 241.07/47.32  ----------------------------------------------------------------
% 241.07/47.32    (1)  all_25_6 = e14
% 241.07/47.32    (2)  op1(e11, e10) = all_14_23
% 241.07/47.32    (3)   ~ (e14 = e10)
% 241.07/47.32    (4)  all_25_2 = e12
% 241.07/47.32    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.32           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.32           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.32    (6)  all_25_1 = e12
% 241.07/47.32    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.32           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.32           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.32    (8)   ~ (e12 = e11)
% 241.07/47.32    (9)   ~ (e14 = e11)
% 241.07/47.32    (10)  all_25_3 = e11
% 241.07/47.32    (11)  op1(e10, e13) = e13
% 241.07/47.32    (12)   ~ (e13 = e10)
% 241.07/47.32    (13)  op1(e11, e12) = all_14_13
% 241.07/47.32    (14)   ~ (e14 = e13)
% 241.07/47.32    (15)   ~ (all_14_23 = e13)
% 241.07/47.32    (16)  all_25_21 = e13
% 241.07/47.32    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.32            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.32    (18)   ~ (e13 = e11)
% 241.07/47.32    (19)  all_25_20 = e10
% 241.07/47.32    (20)  op1(e13, e12) = e10
% 241.07/47.32    (21)   ~ (e11 = e10)
% 241.07/47.32    (22)   ~ (e13 = e12)
% 241.07/47.32    (23)  op1(e13, e13) = e11
% 241.07/47.32    (24)   ~ (all_14_13 = e13)
% 241.07/47.32    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.07/47.32              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.07/47.32            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.07/47.32    (26)   ~ (e12 = e10)
% 241.07/47.32    (27)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 241.07/47.32            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 241.07/47.32            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.32    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.32            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.32            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.32    (29)  all_25_0 = e10
% 241.07/47.32    (30)  op1(e11, e11) = all_14_18
% 241.07/47.32    (31)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.32            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.32            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.32    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.32            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.32    (33)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.32            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.32    (34)   ~ (e14 = e12)
% 241.07/47.32    (35)   ~ (all_14_18 = e13)
% 241.07/47.32    (36)  all_25_17 = e13
% 241.07/47.32  
% 241.07/47.32  Begin of proof
% 241.07/47.32  | 
% 241.07/47.32  | BETA: splitting (27) gives:
% 241.07/47.32  | 
% 241.07/47.32  | Case 1:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (37)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 241.07/47.32  | |             e14) = e11)
% 241.07/47.32  | | 
% 241.07/47.32  | | BETA: splitting (37) gives:
% 241.07/47.32  | | 
% 241.07/47.32  | | Case 1:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (38)  all_25_0 = e11 & op1(e14, e14) = e11
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (21), (29), (38) are inconsistent by sub-proof #1222.
% 241.07/47.32  | | | 
% 241.07/47.32  | | Case 2:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (39)  all_25_2 = e11 & op1(e13, e14) = e11
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (4), (8), (39) are inconsistent by sub-proof #1189.
% 241.07/47.32  | | | 
% 241.07/47.32  | | End of split
% 241.07/47.32  | | 
% 241.07/47.32  | Case 2:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (40)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 241.07/47.32  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.32  | | 
% 241.07/47.32  | | BETA: splitting (40) gives:
% 241.07/47.32  | | 
% 241.07/47.32  | | Case 1:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (41)  all_25_6 = e11 & op1(e12, e14) = e11
% 241.07/47.32  | | | 
% 241.07/47.32  | | | REF_CLOSE: (1), (9), (41) are inconsistent by sub-proof #105.
% 241.07/47.32  | | | 
% 241.07/47.32  | | Case 2:
% 241.07/47.32  | | | 
% 241.07/47.32  | | |   (42)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 241.07/47.32  | | |           op1(e10, e14) = e11)
% 241.07/47.32  | | | 
% 241.07/47.32  | | | BETA: splitting (42) gives:
% 241.07/47.32  | | | 
% 241.07/47.32  | | | Case 1:
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | |   (43)  all_25_12 = e11 & op1(e11, e14) = e11
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | | ALPHA: (43) implies:
% 241.07/47.32  | | | |   (44)  all_25_12 = e11
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.07/47.32  | | | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23),
% 241.07/47.32  | | | |            (24), (25), (26), (28), (30), (31), (32), (33), (34), (35),
% 241.07/47.32  | | | |            (36), (44) are inconsistent by sub-proof #949.
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | Case 2:
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | |   (45)  all_25_20 = e11 & op1(e10, e14) = e11
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | | REF_CLOSE: (19), (21), (45) are inconsistent by sub-proof #1123.
% 241.07/47.32  | | | | 
% 241.07/47.32  | | | End of split
% 241.07/47.32  | | | 
% 241.07/47.32  | | End of split
% 241.07/47.32  | | 
% 241.07/47.32  | End of split
% 241.07/47.32  | 
% 241.07/47.32  End of proof
% 241.07/47.32  
% 241.07/47.32  Sub-proof #105 shows that the following formulas are inconsistent:
% 241.07/47.32  ----------------------------------------------------------------
% 241.07/47.32    (1)  all_25_6 = e11 & op1(e12, e14) = e11
% 241.07/47.32    (2)  all_25_6 = e14
% 241.07/47.32    (3)   ~ (e14 = e11)
% 241.07/47.32  
% 241.07/47.32  Begin of proof
% 241.07/47.32  | 
% 241.07/47.32  | ALPHA: (1) implies:
% 241.07/47.32  |   (4)  all_25_6 = e11
% 241.07/47.32  | 
% 241.07/47.32  | COMBINE_EQS: (2), (4) imply:
% 241.07/47.32  |   (5)  e14 = e11
% 241.07/47.32  | 
% 241.07/47.32  | REDUCE: (3), (5) imply:
% 241.07/47.32  |   (6)  $false
% 241.07/47.32  | 
% 241.07/47.32  | CLOSE: (6) is inconsistent.
% 241.07/47.32  | 
% 241.07/47.32  End of proof
% 241.07/47.32  
% 241.07/47.32  Sub-proof #106 shows that the following formulas are inconsistent:
% 241.07/47.32  ----------------------------------------------------------------
% 241.07/47.32    (1)   ~ (e14 = e10)
% 241.07/47.32    (2)  all_25_2 = e12
% 241.07/47.32    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.32           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.32           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.32    (4)  all_25_1 = e12
% 241.07/47.32    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.32           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.32           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.32    (6)   ~ (e12 = e11)
% 241.07/47.32    (7)   ~ (e14 = e11)
% 241.07/47.32    (8)  all_25_3 = e11
% 241.07/47.32    (9)  op1(e10, e13) = e13
% 241.07/47.32    (10)   ~ (e13 = e10)
% 241.07/47.32    (11)   ~ (e14 = e13)
% 241.07/47.32    (12)  all_25_21 = e13
% 241.07/47.32    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.32            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.32    (14)   ~ (e13 = e11)
% 241.07/47.32    (15)  op1(e13, e12) = e10
% 241.07/47.32    (16)   ~ (e11 = e10)
% 241.07/47.32    (17)  op1(e12, e14) = all_14_2
% 241.07/47.32    (18)   ~ (e13 = e12)
% 241.07/47.32    (19)  op1(e13, e13) = e11
% 241.07/47.32    (20)   ~ (e12 = e10)
% 241.07/47.32    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.32            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.32            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.32    (22)   ~ (all_14_2 = e13)
% 241.07/47.32    (23)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.32            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.32            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.32    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.32            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.32    (25)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.32            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.32            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.32    (26)   ~ (e14 = e12)
% 241.07/47.32    (27)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7 = e13 & op1(e12, e13)
% 241.07/47.32            = e13)
% 241.07/47.32    (28)  all_25_17 = e13
% 241.07/47.32  
% 241.07/47.32  Begin of proof
% 241.07/47.32  | 
% 241.07/47.32  | BETA: splitting (27) gives:
% 241.07/47.32  | 
% 241.07/47.32  | Case 1:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (29)  all_25_6 = e13 & op1(e12, e14) = e13
% 241.07/47.32  | | 
% 241.07/47.32  | | REF_CLOSE: (13), (17), (22), (29) are inconsistent by sub-proof #1029.
% 241.07/47.32  | | 
% 241.07/47.32  | Case 2:
% 241.07/47.32  | | 
% 241.07/47.32  | |   (30)  all_25_7 = e13 & op1(e12, e13) = e13
% 241.07/47.32  | | 
% 241.07/47.32  | | ALPHA: (30) implies:
% 241.07/47.32  | |   (31)  all_25_7 = e13
% 241.07/47.32  | | 
% 241.07/47.32  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.07/47.32  | |            (13), (14), (15), (16), (18), (19), (20), (21), (23), (24), (25),
% 241.07/47.32  | |            (26), (28), (31) are inconsistent by sub-proof #1255.
% 241.07/47.32  | | 
% 241.07/47.32  | End of split
% 241.07/47.32  | 
% 241.07/47.32  End of proof
% 241.07/47.32  
% 241.07/47.32  Sub-proof #107 shows that the following formulas are inconsistent:
% 241.07/47.32  ----------------------------------------------------------------
% 241.07/47.32    (1)  all_25_20 = e13 & op1(e10, e14) = e13
% 241.07/47.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.33           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.33    (3)  op1(e10, e14) = all_14_4
% 241.07/47.33    (4)   ~ (all_14_4 = e13)
% 241.07/47.33  
% 241.07/47.33  Begin of proof
% 241.07/47.33  | 
% 241.07/47.33  | ALPHA: (1) implies:
% 241.07/47.33  |   (5)  op1(e10, e14) = e13
% 241.07/47.33  | 
% 241.07/47.33  | GROUND_INST: instantiating (2) with all_14_4, e13, e14, e10, simplifying with
% 241.07/47.33  |              (3), (5) gives:
% 241.07/47.33  |   (6)  all_14_4 = e13
% 241.07/47.33  | 
% 241.07/47.33  | REDUCE: (4), (6) imply:
% 241.07/47.33  |   (7)  $false
% 241.07/47.33  | 
% 241.07/47.33  | CLOSE: (7) is inconsistent.
% 241.07/47.33  | 
% 241.07/47.33  End of proof
% 241.07/47.33  
% 241.07/47.33  Sub-proof #108 shows that the following formulas are inconsistent:
% 241.07/47.33  ----------------------------------------------------------------
% 241.07/47.33    (1)   ~ (all_14_10 = e10)
% 241.07/47.33    (2)   ~ (e14 = e10)
% 241.07/47.33    (3)  all_25_2 = e12
% 241.07/47.33    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.33           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.33           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.33    (5)  all_25_1 = e12
% 241.07/47.33    (6)  op1(e14, unit1) = e14
% 241.07/47.33    (7)  all_25_18 = e14
% 241.07/47.33    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.33           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.33           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.33    (9)   ~ (e12 = e11)
% 241.07/47.33    (10)   ~ (e14 = e11)
% 241.07/47.33    (11)  all_25_3 = e11
% 241.07/47.33    (12)  op1(e10, e13) = e13
% 241.07/47.33    (13)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.07/47.33            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.07/47.33            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.07/47.33    (14)   ~ (e13 = e10)
% 241.07/47.33    (15)   ~ (e14 = e13)
% 241.07/47.33    (16)  all_25_13 = e14
% 241.07/47.33    (17)  op1(e14, e11) = all_14_15
% 241.07/47.33    (18)  all_25_24 = e12
% 241.07/47.33    (19)  op1(e13, unit1) = e13
% 241.07/47.33    (20)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.07/47.33            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.07/47.33            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.07/47.33    (21)  op1(e13, e11) = e14
% 241.07/47.33    (22)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 241.07/47.33              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 241.07/47.33            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.07/47.33    (23)  all_25_21 = e13
% 241.07/47.33    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.33            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.33    (25)   ~ (e13 = e11)
% 241.07/47.33    (26)  op1(e13, e12) = e10
% 241.07/47.33    (27)   ~ (e11 = e10)
% 241.07/47.33    (28)  all_25_9 = e13
% 241.07/47.33    (29)   ~ (e13 = e12)
% 241.07/47.33    (30)  op1(e13, e13) = e11
% 241.07/47.33    (31)  all_25_7 = e10
% 241.07/47.33    (32)   ~ (e12 = e10)
% 241.07/47.33    (33)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.33            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.33            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.33    (34)  all_25_19 = e10
% 241.07/47.33    (35)  all_25_0 = e10
% 241.07/47.33    (36)   ~ (all_14_15 = e14)
% 241.07/47.33    (37)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.33    (38)  op1(e14, e12) = all_14_10
% 241.07/47.33    (39)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.33            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.33            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.33    (40)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.33            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.33            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.33    (41)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.33            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.33            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.33    (42)  op1(e13, e14) = e12
% 241.07/47.33    (43)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 241.07/47.33            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 241.07/47.33            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.07/47.33    (44)   ~ (e14 = e12)
% 241.07/47.33    (45)  all_25_17 = e13
% 241.07/47.33  
% 241.07/47.33  Begin of proof
% 241.07/47.33  | 
% 241.07/47.33  | BETA: splitting (43) gives:
% 241.07/47.33  | 
% 241.07/47.33  | Case 1:
% 241.07/47.33  | | 
% 241.07/47.33  | |   (46)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 241.07/47.33  | |             e13) = e14)
% 241.07/47.33  | | 
% 241.07/47.33  | | BETA: splitting (46) gives:
% 241.07/47.33  | | 
% 241.07/47.33  | | Case 1:
% 241.07/47.33  | | | 
% 241.07/47.33  | | |   (47)  all_25_0 = e14 & op1(e14, e14) = e14
% 241.07/47.33  | | | 
% 241.07/47.33  | | | ALPHA: (47) implies:
% 241.07/47.33  | | |   (48)  all_25_0 = e14
% 241.07/47.33  | | | 
% 241.07/47.33  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (14), (15),
% 241.07/47.33  | | |            (19), (20), (21), (24), (25), (26), (27), (28), (29), (30),
% 241.07/47.33  | | |            (32), (33), (37), (38), (40), (42), (44), (45), (48) are
% 241.07/47.33  | | |            inconsistent by sub-proof #138.
% 241.07/47.33  | | | 
% 241.07/47.33  | | Case 2:
% 241.07/47.33  | | | 
% 241.07/47.33  | | |   (49)  all_25_1 = e14 & op1(e14, e13) = e14
% 241.07/47.33  | | | 
% 241.07/47.33  | | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (14), (15),
% 241.07/47.33  | | |            (16), (23), (24), (25), (26), (27), (29), (30), (32), (33),
% 241.07/47.33  | | |            (39), (40), (41), (44), (45), (49) are inconsistent by
% 241.07/47.33  | | |            sub-proof #110.
% 241.07/47.33  | | | 
% 241.07/47.33  | | End of split
% 241.07/47.33  | | 
% 241.07/47.33  | Case 2:
% 241.07/47.33  | | 
% 241.07/47.33  | |   (50)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 241.07/47.33  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.07/47.33  | | 
% 241.07/47.33  | | BETA: splitting (50) gives:
% 241.07/47.33  | | 
% 241.07/47.33  | | Case 1:
% 241.07/47.33  | | | 
% 241.07/47.33  | | |   (51)  all_25_4 = e14 & op1(e14, e12) = e14
% 241.07/47.33  | | | 
% 241.07/47.33  | | | ALPHA: (51) implies:
% 241.07/47.33  | | |   (52)  all_25_4 = e14
% 241.07/47.33  | | | 
% 241.07/47.33  | | | BETA: splitting (13) gives:
% 241.07/47.33  | | | 
% 241.07/47.33  | | | Case 1:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | |   (53)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 241.07/47.33  | | | |           op1(e14, e13) = e11)
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | BETA: splitting (53) gives:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | Case 1:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (54)  all_25_0 = e11 & op1(e14, e14) = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | REF_CLOSE: (27), (35), (54) are inconsistent by sub-proof #1222.
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | Case 2:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (55)  all_25_1 = e11 & op1(e14, e13) = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | REF_CLOSE: (5), (9), (55) are inconsistent by sub-proof #1240.
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | End of split
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | Case 2:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | |   (56)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.07/47.33  | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | BETA: splitting (56) gives:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | Case 1:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (57)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | ALPHA: (57) implies:
% 241.07/47.33  | | | | |   (58)  all_25_4 = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | COMBINE_EQS: (52), (58) imply:
% 241.07/47.33  | | | | |   (59)  e14 = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | COMBINE_EQS: (16), (59) imply:
% 241.07/47.33  | | | | |   (60)  all_25_13 = e11
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (15), (24), (31), (41), (44),
% 241.07/47.33  | | | | |            (60) are inconsistent by sub-proof #1169.
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | Case 2:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (61)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 241.07/47.33  | | | | |           op1(e14, e10) = e11)
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | BETA: splitting (61) gives:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | Case 1:
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | |   (62)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | REF_CLOSE: (25), (28), (62) are inconsistent by sub-proof #967.
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | Case 2:
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | |   (63)  all_25_16 = e11 & op1(e14, e10) = e11
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | REF_CLOSE: (6), (10), (14), (15), (19), (21), (24), (26), (29),
% 241.07/47.33  | | | | | |            (37), (42), (63) are inconsistent by sub-proof #124.
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | End of split
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | End of split
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | End of split
% 241.07/47.33  | | | 
% 241.07/47.33  | | Case 2:
% 241.07/47.33  | | | 
% 241.07/47.33  | | |   (64)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 241.07/47.33  | | |           op1(e14, e10) = e14)
% 241.07/47.33  | | | 
% 241.07/47.33  | | | BETA: splitting (64) gives:
% 241.07/47.33  | | | 
% 241.07/47.33  | | | Case 1:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | |   (65)  all_25_9 = e14 & op1(e14, e11) = e14
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | REF_CLOSE: (17), (24), (36), (65) are inconsistent by sub-proof #1340.
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | Case 2:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | |   (66)  all_25_16 = e14 & op1(e14, e10) = e14
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | ALPHA: (66) implies:
% 241.07/47.33  | | | |   (67)  op1(e14, e10) = e14
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | BETA: splitting (22) gives:
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | | Case 1:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (68)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 241.07/47.33  | | | | |           op1(e13, e10) = e11)
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | REF_CLOSE: (10), (24), (25), (45), (67), (68) are inconsistent by
% 241.07/47.33  | | | | |            sub-proof #109.
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | Case 2:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | |   (69)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 241.07/47.33  | | | | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) =
% 241.07/47.33  | | | | |           e11)
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | BETA: splitting (69) gives:
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | | Case 1:
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | |   (70)  all_25_18 = e11 & op1(e12, e10) = e11
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | ALPHA: (70) implies:
% 241.07/47.33  | | | | | |   (71)  all_25_18 = e11
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | REF_CLOSE: (2), (5), (7), (10), (11), (12), (15), (16), (24), (31),
% 241.07/47.33  | | | | | |            (41), (44), (71) are inconsistent by sub-proof #1047.
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | Case 2:
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | |   (72)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 241.07/47.33  | | | | | |           op1(e10, e10) = e11)
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | BETA: splitting (72) gives:
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | | Case 1:
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | |   (73)  all_25_19 = e11 & op1(e11, e10) = e11
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | | REF_CLOSE: (27), (34), (73) are inconsistent by sub-proof #1153.
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | Case 2:
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | |   (74)  all_25_24 = e11 & op1(e10, e10) = e11
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | | REF_CLOSE: (9), (18), (74) are inconsistent by sub-proof #134.
% 241.07/47.33  | | | | | | | 
% 241.07/47.33  | | | | | | End of split
% 241.07/47.33  | | | | | | 
% 241.07/47.33  | | | | | End of split
% 241.07/47.33  | | | | | 
% 241.07/47.33  | | | | End of split
% 241.07/47.33  | | | | 
% 241.07/47.33  | | | End of split
% 241.07/47.33  | | | 
% 241.07/47.33  | | End of split
% 241.07/47.33  | | 
% 241.07/47.33  | End of split
% 241.07/47.33  | 
% 241.07/47.33  End of proof
% 241.07/47.33  
% 241.07/47.33  Sub-proof #109 shows that the following formulas are inconsistent:
% 241.07/47.33  ----------------------------------------------------------------
% 241.07/47.33    (1)   ~ (e14 = e11)
% 241.07/47.33    (2)  op1(e14, e10) = e14
% 241.07/47.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.33           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.33    (4)   ~ (e13 = e11)
% 241.07/47.33    (5)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 241.07/47.33             e10) = e11)
% 241.07/47.33    (6)  all_25_17 = e13
% 241.07/47.33  
% 241.07/47.33  Begin of proof
% 241.07/47.33  | 
% 241.07/47.33  | BETA: splitting (5) gives:
% 241.07/47.33  | 
% 241.07/47.33  | Case 1:
% 241.07/47.33  | | 
% 241.07/47.33  | |   (7)  all_25_16 = e11 & op1(e14, e10) = e11
% 241.07/47.33  | | 
% 241.07/47.33  | | ALPHA: (7) implies:
% 241.07/47.33  | |   (8)  op1(e14, e10) = e11
% 241.07/47.33  | | 
% 241.07/47.33  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #917.
% 241.07/47.33  | | 
% 241.07/47.33  | Case 2:
% 241.07/47.33  | | 
% 241.07/47.33  | |   (9)  all_25_17 = e11 & op1(e13, e10) = e11
% 241.07/47.33  | | 
% 241.07/47.33  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #940.
% 241.07/47.33  | | 
% 241.07/47.33  | End of split
% 241.07/47.33  | 
% 241.07/47.33  End of proof
% 241.07/47.33  
% 241.07/47.33  Sub-proof #110 shows that the following formulas are inconsistent:
% 241.07/47.33  ----------------------------------------------------------------
% 241.07/47.33    (1)   ~ (e14 = e10)
% 241.07/47.33    (2)  all_25_2 = e12
% 241.07/47.33    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.33           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.33           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.33    (4)  all_25_1 = e12
% 241.07/47.33    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.33           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.33           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.33    (6)  all_25_1 = e14 & op1(e14, e13) = e14
% 241.07/47.33    (7)   ~ (e12 = e11)
% 241.07/47.33    (8)   ~ (e14 = e11)
% 241.07/47.33    (9)  all_25_3 = e11
% 241.07/47.33    (10)  op1(e10, e13) = e13
% 241.07/47.33    (11)   ~ (e13 = e10)
% 241.07/47.33    (12)   ~ (e14 = e13)
% 241.07/47.33    (13)  all_25_13 = e14
% 241.07/47.33    (14)  all_25_21 = e13
% 241.07/47.33    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.33            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.33    (16)   ~ (e13 = e11)
% 241.07/47.33    (17)  op1(e13, e12) = e10
% 241.07/47.33    (18)   ~ (e11 = e10)
% 241.07/47.33    (19)   ~ (e13 = e12)
% 241.07/47.33    (20)  op1(e13, e13) = e11
% 241.07/47.33    (21)   ~ (e12 = e10)
% 241.07/47.33    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.33            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.33            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.33    (23)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.33            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.33            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.33    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.33            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.33            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.33    (25)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.33            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.33            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.34    (26)   ~ (e14 = e12)
% 241.07/47.34    (27)  all_25_17 = e13
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | ALPHA: (6) implies:
% 241.07/47.34  |   (28)  all_25_1 = e14
% 241.07/47.34  | 
% 241.07/47.34  | COMBINE_EQS: (4), (28) imply:
% 241.07/47.34  |   (29)  e14 = e12
% 241.07/47.34  | 
% 241.07/47.34  | SIMP: (29) implies:
% 241.07/47.34  |   (30)  e14 = e12
% 241.07/47.34  | 
% 241.07/47.34  | COMBINE_EQS: (13), (30) imply:
% 241.07/47.34  |   (31)  all_25_13 = e12
% 241.07/47.34  | 
% 241.07/47.34  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 241.07/47.34  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 241.07/47.34  |            (26), (27), (31) are inconsistent by sub-proof #471.
% 241.07/47.34  | 
% 241.07/47.34  End of proof
% 241.07/47.34  
% 241.07/47.34  Sub-proof #111 shows that the following formulas are inconsistent:
% 241.07/47.34  ----------------------------------------------------------------
% 241.07/47.34    (1)   ~ (e14 = e10)
% 241.07/47.34    (2)  all_25_2 = e12
% 241.07/47.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.34    (4)  all_25_1 = e12
% 241.07/47.34    (5)  all_25_18 = e14
% 241.07/47.34    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.34    (7)   ~ (e12 = e11)
% 241.07/47.34    (8)   ~ (e14 = e11)
% 241.07/47.34    (9)  all_25_3 = e11
% 241.07/47.34    (10)  op1(e10, e13) = e13
% 241.07/47.34    (11)   ~ (e13 = e10)
% 241.07/47.34    (12)   ~ (e14 = e13)
% 241.07/47.34    (13)  all_25_13 = e14
% 241.07/47.34    (14)  all_25_21 = e13
% 241.07/47.34    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.34    (16)   ~ (e13 = e11)
% 241.07/47.34    (17)  op1(e13, e12) = e10
% 241.07/47.34    (18)   ~ (e11 = e10)
% 241.07/47.34    (19)   ~ (e13 = e12)
% 241.07/47.34    (20)  op1(e13, e13) = e11
% 241.07/47.34    (21)   ~ (e12 = e10)
% 241.07/47.34    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.34    (23)  all_25_18 = e12
% 241.07/47.34    (24)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.34            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.34            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.34    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.34    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.34            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.34            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.34    (27)   ~ (e14 = e12)
% 241.07/47.34    (28)  all_25_17 = e13
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | COMBINE_EQS: (5), (23) imply:
% 241.07/47.34  |   (29)  e14 = e12
% 241.07/47.34  | 
% 241.07/47.34  | SIMP: (29) implies:
% 241.07/47.34  |   (30)  e14 = e12
% 241.07/47.34  | 
% 241.07/47.34  | COMBINE_EQS: (13), (30) imply:
% 241.07/47.34  |   (31)  all_25_13 = e12
% 241.07/47.34  | 
% 241.07/47.34  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 241.07/47.34  |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 241.07/47.34  |            (27), (28), (31) are inconsistent by sub-proof #471.
% 241.07/47.34  | 
% 241.07/47.34  End of proof
% 241.07/47.34  
% 241.07/47.34  Sub-proof #112 shows that the following formulas are inconsistent:
% 241.07/47.34  ----------------------------------------------------------------
% 241.07/47.34    (1)   ~ (e14 = e10)
% 241.07/47.34    (2)  all_25_2 = e12
% 241.07/47.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.34    (4)  op1(e14, unit1) = e14
% 241.07/47.34    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.34    (6)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 241.07/47.34             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 241.07/47.34           e10 & op1(e11, e10) = e10)
% 241.07/47.34    (7)   ~ (e12 = e11)
% 241.07/47.34    (8)   ~ (e14 = e11)
% 241.07/47.34    (9)  all_25_3 = e11
% 241.07/47.34    (10)   ~ (e13 = e10)
% 241.07/47.34    (11)   ~ (e14 = e13)
% 241.07/47.34    (12)  op1(e13, unit1) = e13
% 241.07/47.34    (13)  op1(e13, e11) = e14
% 241.07/47.34    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.34    (15)   ~ (e13 = e11)
% 241.07/47.34    (16)  op1(e13, e12) = e10
% 241.07/47.34    (17)   ~ (e11 = e10)
% 241.07/47.34    (18)   ~ (e13 = e12)
% 241.07/47.34    (19)  op1(e13, e13) = e11
% 241.07/47.34    (20)   ~ (e12 = e10)
% 241.07/47.34    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.34    (22)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.34    (23)  all_25_18 = e12
% 241.07/47.34    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.34    (25)  op1(e13, e14) = e12
% 241.07/47.34    (26)   ~ (e14 = e12)
% 241.07/47.34    (27)  all_25_19 = e11 & op1(e11, e10) = e11
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | ALPHA: (27) implies:
% 241.07/47.34  |   (28)  op1(e11, e10) = e11
% 241.07/47.34  | 
% 241.07/47.34  | BETA: splitting (6) gives:
% 241.07/47.34  | 
% 241.07/47.34  | Case 1:
% 241.07/47.34  | | 
% 241.07/47.34  | |   (29)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 &
% 241.07/47.34  | |           op1(e13, e10) = e10)
% 241.07/47.34  | | 
% 241.07/47.34  | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (12), (13), (14), (15),
% 241.07/47.34  | |            (16), (18), (19), (22), (24), (25), (26), (29) are inconsistent
% 241.07/47.34  | |            by sub-proof #141.
% 241.07/47.34  | | 
% 241.07/47.34  | Case 2:
% 241.07/47.34  | | 
% 241.07/47.34  | |   (30)  (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 = e10 &
% 241.07/47.34  | |           op1(e11, e10) = e10)
% 241.07/47.34  | | 
% 241.07/47.34  | | BETA: splitting (30) gives:
% 241.07/47.34  | | 
% 241.07/47.34  | | Case 1:
% 241.07/47.34  | | | 
% 241.07/47.34  | | |   (31)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.07/47.34  | | | 
% 241.07/47.34  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (14), (15), (16),
% 241.07/47.34  | | |            (17), (18), (19), (20), (21), (23), (24), (26), (31) are
% 241.07/47.34  | | |            inconsistent by sub-proof #1144.
% 241.07/47.34  | | | 
% 241.07/47.34  | | Case 2:
% 241.07/47.34  | | | 
% 241.07/47.34  | | |   (32)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.07/47.34  | | | 
% 241.07/47.34  | | | REF_CLOSE: (14), (17), (28), (32) are inconsistent by sub-proof #113.
% 241.07/47.34  | | | 
% 241.07/47.34  | | End of split
% 241.07/47.34  | | 
% 241.07/47.34  | End of split
% 241.07/47.34  | 
% 241.07/47.34  End of proof
% 241.07/47.34  
% 241.07/47.34  Sub-proof #113 shows that the following formulas are inconsistent:
% 241.07/47.34  ----------------------------------------------------------------
% 241.07/47.34    (1)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.07/47.34    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.34           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.34    (3)  op1(e11, e10) = e11
% 241.07/47.34    (4)   ~ (e11 = e10)
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | ALPHA: (1) implies:
% 241.07/47.34  |   (5)  op1(e11, e10) = e10
% 241.07/47.34  | 
% 241.07/47.34  | GROUND_INST: instantiating (2) with e10, e11, e10, e11, simplifying with (3),
% 241.07/47.34  |              (5) gives:
% 241.07/47.34  |   (6)  e11 = e10
% 241.07/47.34  | 
% 241.07/47.34  | REDUCE: (4), (6) imply:
% 241.07/47.34  |   (7)  $false
% 241.07/47.34  | 
% 241.07/47.34  | CLOSE: (7) is inconsistent.
% 241.07/47.34  | 
% 241.07/47.34  End of proof
% 241.07/47.34  
% 241.07/47.34  Sub-proof #114 shows that the following formulas are inconsistent:
% 241.07/47.34  ----------------------------------------------------------------
% 241.07/47.34    (1)   ~ (e14 = e10)
% 241.07/47.34    (2)  all_25_2 = e12
% 241.07/47.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.34    (4)  all_25_15 = e12
% 241.07/47.34    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.34    (6)   ~ (e12 = e11)
% 241.07/47.34    (7)   ~ (e14 = e11)
% 241.07/47.34    (8)   ~ (e13 = e10)
% 241.07/47.34    (9)  op1(e11, e12) = all_14_13
% 241.07/47.34    (10)   ~ (e14 = e13)
% 241.07/47.34    (11)  op1(e13, unit1) = e13
% 241.07/47.34    (12)  op1(e13, e11) = e14
% 241.07/47.34    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.34    (14)   ~ (e13 = e11)
% 241.07/47.34    (15)  op1(e13, e12) = e10
% 241.07/47.34    (16)   ~ (e11 = e10)
% 241.07/47.34    (17)   ~ (all_14_13 = e10)
% 241.07/47.34    (18)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 & op1(e11,
% 241.07/47.34              e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 241.07/47.34    (19)   ~ (e13 = e12)
% 241.07/47.34    (20)  op1(e13, e13) = e11
% 241.07/47.34    (21)   ~ (e12 = e10)
% 241.07/47.34    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.34    (23)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.34    (24)  op1(e11, unit1) = e11
% 241.07/47.34    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.34    (26)  op1(e13, e14) = e12
% 241.07/47.34    (27)   ~ (e14 = e12)
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | BETA: splitting (18) gives:
% 241.07/47.34  | 
% 241.07/47.34  | Case 1:
% 241.07/47.34  | | 
% 241.07/47.34  | |   (28)  all_25_14 = e10 & op1(e11, e12) = e10
% 241.07/47.34  | | 
% 241.07/47.34  | | ALPHA: (28) implies:
% 241.07/47.34  | |   (29)  op1(e11, e12) = e10
% 241.07/47.34  | | 
% 241.07/47.34  | | REF_CLOSE: (9), (13), (17), (29) are inconsistent by sub-proof #1158.
% 241.07/47.34  | | 
% 241.07/47.34  | Case 2:
% 241.07/47.34  | | 
% 241.07/47.34  | |   (30)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 241.07/47.34  | |           op1(e11, e10) = e10)
% 241.07/47.34  | | 
% 241.07/47.34  | | BETA: splitting (30) gives:
% 241.07/47.34  | | 
% 241.07/47.34  | | Case 1:
% 241.07/47.34  | | | 
% 241.07/47.34  | | |   (31)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.07/47.34  | | | 
% 241.07/47.34  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (13), (14), (15),
% 241.07/47.34  | | |            (16), (19), (20), (21), (22), (25), (27), (31) are inconsistent
% 241.07/47.34  | | |            by sub-proof #146.
% 241.07/47.34  | | | 
% 241.07/47.34  | | Case 2:
% 241.07/47.34  | | | 
% 241.07/47.34  | | |   (32)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.07/47.34  | | | 
% 241.07/47.34  | | | REF_CLOSE: (8), (10), (11), (12), (13), (15), (19), (23), (24), (26), (32)
% 241.07/47.34  | | |            are inconsistent by sub-proof #115.
% 241.07/47.34  | | | 
% 241.07/47.34  | | End of split
% 241.07/47.34  | | 
% 241.07/47.34  | End of split
% 241.07/47.34  | 
% 241.07/47.34  End of proof
% 241.07/47.34  
% 241.07/47.34  Sub-proof #115 shows that the following formulas are inconsistent:
% 241.07/47.34  ----------------------------------------------------------------
% 241.07/47.34    (1)   ~ (e13 = e10)
% 241.07/47.34    (2)   ~ (e14 = e13)
% 241.07/47.34    (3)  op1(e13, unit1) = e13
% 241.07/47.34    (4)  op1(e13, e11) = e14
% 241.07/47.34    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.34           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.34    (6)  op1(e13, e12) = e10
% 241.07/47.34    (7)   ~ (e13 = e12)
% 241.07/47.34    (8)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.07/47.34    (9)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.34    (10)  op1(e11, unit1) = e11
% 241.07/47.34    (11)  op1(e13, e14) = e12
% 241.07/47.34  
% 241.07/47.34  Begin of proof
% 241.07/47.34  | 
% 241.07/47.34  | ALPHA: (8) implies:
% 241.07/47.34  |   (12)  op1(e11, e10) = e10
% 241.07/47.34  | 
% 241.07/47.34  | BETA: splitting (9) gives:
% 241.07/47.34  | 
% 241.07/47.34  | Case 1:
% 241.07/47.34  | | 
% 241.07/47.34  | |   (13)  unit1 = e14
% 241.07/47.34  | | 
% 241.07/47.34  | | REDUCE: (3), (13) imply:
% 241.07/47.34  | |   (14)  op1(e13, e14) = e13
% 241.07/47.34  | | 
% 241.07/47.34  | | REF_CLOSE: (5), (7), (11), (14) are inconsistent by sub-proof #1227.
% 241.07/47.34  | | 
% 241.07/47.34  | Case 2:
% 241.07/47.34  | | 
% 241.07/47.35  | |   (15)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.35  | | 
% 241.07/47.35  | | BETA: splitting (15) gives:
% 241.07/47.35  | | 
% 241.07/47.35  | | Case 1:
% 241.07/47.35  | | | 
% 241.07/47.35  | | |   (16)  unit1 = e12
% 241.07/47.35  | | | 
% 241.07/47.35  | | | REDUCE: (3), (16) imply:
% 241.07/47.35  | | |   (17)  op1(e13, e12) = e13
% 241.07/47.35  | | | 
% 241.07/47.35  | | | REF_CLOSE: (1), (5), (6), (17) are inconsistent by sub-proof #1334.
% 241.07/47.35  | | | 
% 241.07/47.35  | | Case 2:
% 241.07/47.35  | | | 
% 241.07/47.35  | | |   (18)  unit1 = e11 | unit1 = e10
% 241.07/47.35  | | | 
% 241.07/47.35  | | | BETA: splitting (18) gives:
% 241.07/47.35  | | | 
% 241.07/47.35  | | | Case 1:
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | |   (19)  unit1 = e11
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | REDUCE: (3), (19) imply:
% 241.07/47.35  | | | |   (20)  op1(e13, e11) = e13
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | REF_CLOSE: (2), (4), (5), (20) are inconsistent by sub-proof #1333.
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | Case 2:
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | |   (21)  unit1 = e10
% 241.07/47.35  | | | |   (22)   ~ (unit1 = e11)
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | REDUCE: (21), (22) imply:
% 241.07/47.35  | | | |   (23)   ~ (e11 = e10)
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | SIMP: (23) implies:
% 241.07/47.35  | | | |   (24)   ~ (e11 = e10)
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | REDUCE: (10), (21) imply:
% 241.07/47.35  | | | |   (25)  op1(e11, e10) = e11
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | GROUND_INST: instantiating (5) with e10, e11, e10, e11, simplifying with
% 241.07/47.35  | | | |              (12), (25) gives:
% 241.07/47.35  | | | |   (26)  e11 = e10
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | REDUCE: (24), (26) imply:
% 241.07/47.35  | | | |   (27)  $false
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | | CLOSE: (27) is inconsistent.
% 241.07/47.35  | | | | 
% 241.07/47.35  | | | End of split
% 241.07/47.35  | | | 
% 241.07/47.35  | | End of split
% 241.07/47.35  | | 
% 241.07/47.35  | End of split
% 241.07/47.35  | 
% 241.07/47.35  End of proof
% 241.07/47.35  
% 241.07/47.35  Sub-proof #116 shows that the following formulas are inconsistent:
% 241.07/47.35  ----------------------------------------------------------------
% 241.07/47.35    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 241.07/47.35             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 241.07/47.35           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.07/47.35    (2)   ~ (all_14_10 = e10)
% 241.07/47.35    (3)  op1(e12, e13) = all_14_7
% 241.07/47.35    (4)   ~ (e14 = e10)
% 241.07/47.35    (5)  all_25_2 = e12
% 241.07/47.35    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.07/47.35           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.07/47.35           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.07/47.35    (7)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 241.07/47.35           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 241.07/47.35           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.07/47.35    (8)  all_25_15 = e12
% 241.07/47.35    (9)  all_25_1 = e12
% 241.07/47.35    (10)  op1(e14, unit1) = e14
% 241.07/47.35    (11)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 241.07/47.35              e11) = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 =
% 241.07/47.35            e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.07/47.35    (12)  op1(e14, e14) = all_14_0
% 241.07/47.35    (13)   ~ (all_14_12 = e13)
% 241.07/47.35    (14)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 241.07/47.35              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 241.07/47.35            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 241.07/47.35    (15)   ~ (all_14_8 = e12)
% 241.07/47.35    (16)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 241.07/47.35              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 241.07/47.35            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 241.07/47.35    (17)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.07/47.35            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.07/47.35            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.07/47.35    (18)   ~ (all_14_7 = e12)
% 241.07/47.35    (19)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 241.07/47.35              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 241.07/47.35            e10 & op1(e11, e10) = e10)
% 241.07/47.35    (20)  all_25_14 = e13
% 241.07/47.35    (21)   ~ (all_14_7 = e11)
% 241.07/47.35    (22)   ~ (e12 = e11)
% 241.07/47.35    (23)   ~ (all_14_0 = e12)
% 241.07/47.35    (24)   ~ (e14 = e11)
% 241.07/47.35    (25)  all_25_3 = e11
% 241.07/47.35    (26)  op1(e11, e13) = e10
% 241.07/47.35    (27)  op1(e10, e13) = e13
% 241.07/47.35    (28)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.07/47.35            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.07/47.35            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.07/47.35    (29)   ~ (e14 = e13)
% 241.07/47.35    (30)   ~ (all_14_7 = e13)
% 241.07/47.35    (31)   ~ (all_14_15 = e12)
% 241.07/47.35    (32)  op1(e14, e11) = all_14_15
% 241.07/47.35    (33)  op1(e13, unit1) = e13
% 241.07/47.35    (34)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.07/47.35            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.07/47.35            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.07/47.35    (35)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 241.07/47.35            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 241.07/47.35            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 241.07/47.35    (36)  op1(e13, e11) = e14
% 241.07/47.35    (37)   ~ (all_14_12 = all_14_17)
% 241.07/47.35    (38)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 241.07/47.35              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 241.07/47.35            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.07/47.35    (39)   ~ (all_14_17 = all_14_22)
% 241.07/47.35    (40)  all_25_21 = e13
% 241.07/47.35    (41)  op1(e11, e13) = all_14_8
% 241.07/47.35    (42)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.07/47.35            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.07/47.35    (43)   ~ (all_14_7 = all_14_8)
% 241.07/47.35    (44)  all_25_13 = e10
% 241.07/47.35    (45)  op1(e12, e10) = all_14_22
% 241.07/47.35    (46)   ~ (e13 = e11)
% 241.07/47.35    (47)  op1(e13, e12) = e10
% 241.07/47.35    (48)   ~ (all_14_0 = all_14_10)
% 241.07/47.35    (49)   ~ (all_14_8 = e13)
% 241.07/47.35    (50)  op1(e12, e11) = all_14_17
% 241.07/47.35    (51)   ~ (all_14_18 = e14)
% 241.07/47.35    (52)  op1(e12, unit1) = e12
% 241.07/47.35    (53)  (all_25_20 = e10 & op1(e10, e14) = e10) | (all_25_21 = e10 & op1(e10,
% 241.07/47.35              e13) = e10) | (all_25_22 = e10 & op1(e10, e12) = e10) | (all_25_23 =
% 241.07/47.35            e10 & op1(e10, e11) = e10)
% 241.07/47.35    (54)  all_25_9 = e13
% 241.07/47.35    (55)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.07/47.35            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 241.07/47.35            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.07/47.35    (56)   ~ (e13 = e12)
% 241.07/47.35    (57)  op1(e13, e13) = e11
% 241.07/47.35    (58)   ~ (all_14_24 = e13)
% 241.07/47.35    (59)   ~ (all_14_7 = all_14_12)
% 241.07/47.35    (60)  all_25_10 = e14
% 241.07/47.35    (61)   ~ (all_14_22 = all_14_24)
% 241.07/47.35    (62)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 241.07/47.35            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 241.07/47.35            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 241.07/47.35    (63)   ~ (all_14_19 = e14)
% 241.07/47.35    (64)  all_25_6 = e13
% 241.07/47.35    (65)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 241.07/47.35            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 241.07/47.35            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.07/47.35    (66)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.07/47.35            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.07/47.35            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.07/47.35    (67)  op1(e10, e10) = all_14_24
% 241.07/47.35    (68)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 241.07/47.35              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 241.07/47.35            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 241.07/47.35    (69)  op1(e14, e10) = all_14_20
% 241.07/47.35    (70)   ~ (all_14_20 = e12)
% 241.07/47.35    (71)  op1(e12, e12) = all_14_12
% 241.07/47.35    (72)  op1(e13, e10) = e13
% 241.07/47.35    (73)   ~ (all_14_12 = e10)
% 241.07/47.35    (74)   ~ (all_14_8 = e11)
% 241.07/47.35    (75)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.07/47.35    (76)   ~ (all_14_0 = e13)
% 241.07/47.35    (77)  op1(unit1, e14) = e14
% 241.07/47.35    (78)  op1(e14, e12) = all_14_10
% 241.07/47.35    (79)   ~ (all_14_10 = e12)
% 241.07/47.35    (80)  op1(e11, e11) = all_14_18
% 241.07/47.35    (81)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.07/47.35            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.07/47.35            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.35    (82)  op1(e11, unit1) = e11
% 241.07/47.35    (83)  op1(unit1, e12) = e12
% 241.07/47.35    (84)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.35            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.07/47.35            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.07/47.35    (85)  op1(e10, e11) = all_14_19
% 241.07/47.35    (86)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.07/47.35            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.35            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.35    (87)   ~ (all_14_17 = e13)
% 241.07/47.35    (88)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 241.07/47.35            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 241.07/47.35            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.07/47.35    (89)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 241.07/47.35              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 241.07/47.35            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 241.07/47.35    (90)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 241.07/47.35            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 241.07/47.35            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.07/47.35    (91)  op1(e13, e14) = e12
% 241.07/47.35    (92)   ~ (all_14_22 = e13)
% 241.07/47.35    (93)   ~ (e14 = e12)
% 241.07/47.35    (94)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.07/47.35            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 241.07/47.35            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.07/47.35    (95)   ~ (all_14_7 = all_14_17)
% 241.07/47.35    (96)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 241.07/47.35            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 241.07/47.35            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 241.07/47.35    (97)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 241.07/47.35            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 241.07/47.35            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.07/47.35    (98)  all_25_17 = e13
% 241.07/47.35    (99)   ~ (all_14_7 = all_14_22)
% 241.07/47.35  
% 241.07/47.35  Begin of proof
% 241.07/47.35  | 
% 241.07/47.35  | BETA: splitting (86) gives:
% 241.07/47.35  | 
% 241.07/47.35  | Case 1:
% 241.07/47.35  | | 
% 241.07/47.35  | |   (100)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 241.07/47.35  | |              e13) = e14)
% 241.07/47.35  | | 
% 241.07/47.35  | | BETA: splitting (100) gives:
% 241.07/47.35  | | 
% 241.07/47.35  | | Case 1:
% 241.07/47.35  | | | 
% 241.07/47.35  | | |   (101)  all_25_1 = e14 & op1(e14, e13) = e14
% 241.07/47.35  | | | 
% 241.07/47.35  | | | REF_CLOSE: (9), (93), (101) are inconsistent by sub-proof #1292.
% 241.07/47.36  | | | 
% 241.07/47.36  | | Case 2:
% 241.07/47.36  | | | 
% 241.07/47.36  | | |   (102)  all_25_3 = e14 & op1(e13, e13) = e14
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REF_CLOSE: (24), (25), (102) are inconsistent by sub-proof #1291.
% 241.07/47.36  | | | 
% 241.07/47.36  | | End of split
% 241.07/47.36  | | 
% 241.07/47.36  | Case 2:
% 241.07/47.36  | | 
% 241.07/47.36  | |   (103)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.07/47.36  | |            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.07/47.36  | | 
% 241.07/47.36  | | BETA: splitting (103) gives:
% 241.07/47.36  | | 
% 241.07/47.36  | | Case 1:
% 241.07/47.36  | | | 
% 241.07/47.36  | | |   (104)  all_25_7 = e14 & op1(e12, e13) = e14
% 241.07/47.36  | | | 
% 241.07/47.36  | | | ALPHA: (104) implies:
% 241.07/47.36  | | |   (105)  all_25_7 = e14
% 241.07/47.36  | | |   (106)  op1(e12, e13) = e14
% 241.07/47.36  | | | 
% 241.07/47.36  | | | GROUND_INST: instantiating (42) with all_14_8, e10, e13, e11, simplifying
% 241.07/47.36  | | |              with (26), (41) gives:
% 241.07/47.36  | | |   (107)  all_14_8 = e10
% 241.07/47.36  | | | 
% 241.07/47.36  | | | GROUND_INST: instantiating (42) with all_14_7, e14, e13, e12, simplifying
% 241.07/47.36  | | |              with (3), (106) gives:
% 241.07/47.36  | | |   (108)  all_14_7 = e14
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (59), (108) imply:
% 241.07/47.36  | | |   (109)   ~ (all_14_12 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (109) implies:
% 241.07/47.36  | | |   (110)   ~ (all_14_12 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (95), (108) imply:
% 241.07/47.36  | | |   (111)   ~ (all_14_17 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (111) implies:
% 241.07/47.36  | | |   (112)   ~ (all_14_17 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (99), (108) imply:
% 241.07/47.36  | | |   (113)   ~ (all_14_22 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (113) implies:
% 241.07/47.36  | | |   (114)   ~ (all_14_22 = e14)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (49), (107) imply:
% 241.07/47.36  | | |   (115)   ~ (e13 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (115) implies:
% 241.07/47.36  | | |   (116)   ~ (e13 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (15), (107) imply:
% 241.07/47.36  | | |   (117)   ~ (e12 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (117) implies:
% 241.07/47.36  | | |   (118)   ~ (e12 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | REDUCE: (74), (107) imply:
% 241.07/47.36  | | |   (119)   ~ (e11 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | SIMP: (119) implies:
% 241.07/47.36  | | |   (120)   ~ (e11 = e10)
% 241.07/47.36  | | | 
% 241.07/47.36  | | | BETA: splitting (62) gives:
% 241.07/47.36  | | | 
% 241.07/47.36  | | | Case 1:
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | |   (121)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 &
% 241.07/47.36  | | | |            op1(e13, e12) = e12)
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | | REF_CLOSE: (42), (47), (78), (79), (118), (121) are inconsistent by
% 241.07/47.36  | | | |            sub-proof #1081.
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | Case 2:
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | |   (122)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 241.07/47.36  | | | |            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) =
% 241.07/47.36  | | | |            e12)
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | | BETA: splitting (122) gives:
% 241.07/47.36  | | | | 
% 241.07/47.36  | | | | Case 1:
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | |   (123)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | ALPHA: (123) implies:
% 241.07/47.36  | | | | |   (124)  all_25_8 = e12
% 241.07/47.36  | | | | |   (125)  op1(e12, e12) = e12
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | GROUND_INST: instantiating (42) with all_14_12, e12, e12, e12,
% 241.07/47.36  | | | | |              simplifying with (71), (125) gives:
% 241.07/47.36  | | | | |   (126)  all_14_12 = e12
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | REDUCE: (37), (126) imply:
% 241.07/47.36  | | | | |   (127)   ~ (all_14_17 = e12)
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | SIMP: (127) implies:
% 241.07/47.36  | | | | |   (128)   ~ (all_14_17 = e12)
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | REDUCE: (110), (126) imply:
% 241.07/47.36  | | | | |   (129)   ~ (e14 = e12)
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | REDUCE: (13), (126) imply:
% 241.07/47.36  | | | | |   (130)   ~ (e13 = e12)
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | BETA: splitting (89) gives:
% 241.07/47.36  | | | | | 
% 241.07/47.36  | | | | | Case 1:
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | |   (131)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12
% 241.07/47.36  | | | | | |            & op1(e13, e10) = e12)
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | | REF_CLOSE: (42), (56), (69), (70), (72), (131) are inconsistent by
% 241.07/47.36  | | | | | |            sub-proof #145.
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | Case 2:
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | |   (132)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12
% 241.07/47.36  | | | | | |            & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10)
% 241.07/47.36  | | | | | |            = e12)
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | | BETA: splitting (132) gives:
% 241.07/47.36  | | | | | | 
% 241.07/47.36  | | | | | | Case 1:
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | |   (133)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | | ALPHA: (133) implies:
% 241.07/47.36  | | | | | | |   (134)  all_25_18 = e12
% 241.07/47.36  | | | | | | |   (135)  op1(e12, e10) = e12
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | | BETA: splitting (7) gives:
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | |   (136)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 =
% 241.07/47.36  | | | | | | | |            e11 & op1(e13, e11) = e11)
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | BETA: splitting (136) gives:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | |   (137)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | REF_CLOSE: (46), (54), (137) are inconsistent by sub-proof
% 241.07/47.36  | | | | | | | | |            #475.
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | |   (138)  all_25_10 = e11 & op1(e13, e11) = e11
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44), (60),
% 241.07/47.36  | | | | | | | | |            (86), (93), (105), (138) are inconsistent by
% 241.07/47.36  | | | | | | | | |            sub-proof #474.
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | |   (139)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 241.07/47.36  | | | | | | | |            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 241.07/47.36  | | | | | | | |            op1(e10, e11) = e11)
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | BETA: splitting (139) gives:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | |   (140)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (25), (29), (42),
% 241.07/47.36  | | | | | | | | |            (46), (47), (56), (57), (64), (66), (84), (90),
% 241.07/47.36  | | | | | | | | |            (93), (98), (105), (116), (118), (120), (124),
% 241.07/47.36  | | | | | | | | |            (134), (140) are inconsistent by sub-proof #143.
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | |   (141)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23
% 241.07/47.36  | | | | | | | | |            = e11 & op1(e10, e11) = e11)
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | BETA: splitting (141) gives:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | |   (142)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | REF_CLOSE: (8), (22), (142) are inconsistent by sub-proof
% 241.07/47.36  | | | | | | | | | |            #418.
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | |   (143)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | ALPHA: (143) implies:
% 241.07/47.36  | | | | | | | | | |   (144)  all_25_23 = e11
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | BETA: splitting (97) gives:
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | |   (145)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 241.07/47.36  | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44),
% 241.07/47.36  | | | | | | | | | | |            (46), (64), (86), (93), (145) are inconsistent by
% 241.07/47.36  | | | | | | | | | | |            sub-proof #459.
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | |   (146)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 241.07/47.36  | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 241.07/47.36  | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | BETA: splitting (146) gives:
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | |   (147)  all_25_8 = e11 & op1(e12, e12) = e11
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | ALPHA: (147) implies:
% 241.07/47.36  | | | | | | | | | | | |   (148)  all_25_8 = e11
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | COMBINE_EQS: (124), (148) imply:
% 241.07/47.36  | | | | | | | | | | | |   (149)  e12 = e11
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (11), (14), (17), (22), (24),
% 241.07/47.36  | | | | | | | | | | | |            (25), (29), (31), (32), (36), (42), (46), (47),
% 241.07/47.36  | | | | | | | | | | | |            (54), (56), (57), (66), (84), (93), (98), (116),
% 241.07/47.36  | | | | | | | | | | | |            (118), (120), (144), (149) are inconsistent by
% 241.07/47.36  | | | | | | | | | | | |            sub-proof #150.
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | |   (150)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 241.07/47.36  | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | BETA: splitting (150) gives:
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | |   (151)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (25), (29), (42),
% 241.07/47.36  | | | | | | | | | | | | |            (46), (47), (56), (57), (64), (66), (84), (90),
% 241.07/47.36  | | | | | | | | | | | | |            (93), (98), (105), (116), (118), (120), (124),
% 241.07/47.36  | | | | | | | | | | | | |            (134), (151) are inconsistent by sub-proof #143.
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | |   (152)  all_25_18 = e11 & op1(e12, e10) = e11
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | | ALPHA: (152) implies:
% 241.07/47.36  | | | | | | | | | | | | |   (153)  op1(e12, e10) = e11
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | | REF_CLOSE: (22), (42), (135), (153) are inconsistent by
% 241.07/47.36  | | | | | | | | | | | | |            sub-proof #926.
% 241.07/47.36  | | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | End of split
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | End of split
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | Case 2:
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | |   (154)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 =
% 241.07/47.36  | | | | | | |            e12 & op1(e10, e10) = e12)
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | | BETA: splitting (154) gives:
% 241.07/47.36  | | | | | | | 
% 241.07/47.36  | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | |   (155)  all_25_19 = e12 & op1(e11, e10) = e12
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | ALPHA: (155) implies:
% 241.07/47.36  | | | | | | | |   (156)  all_25_19 = e12
% 241.07/47.36  | | | | | | | |   (157)  op1(e11, e10) = e12
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | REF_CLOSE: (4), (5), (6), (10), (17), (19), (22), (24), (25),
% 241.07/47.36  | | | | | | | |            (29), (33), (36), (42), (46), (47), (52), (56), (57),
% 241.07/47.36  | | | | | | | |            (66), (75), (82), (84), (91), (93), (116), (118),
% 241.07/47.36  | | | | | | | |            (120), (156), (157) are inconsistent by sub-proof
% 241.07/47.36  | | | | | | | |            #139.
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | Case 2:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | |   (158)  all_25_24 = e12 & op1(e10, e10) = e12
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | ALPHA: (158) implies:
% 241.07/47.36  | | | | | | | |   (159)  all_25_24 = e12
% 241.07/47.36  | | | | | | | |   (160)  op1(e10, e10) = e12
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | GROUND_INST: instantiating (42) with all_14_24, e12, e10, e10,
% 241.07/47.36  | | | | | | | |              simplifying with (67), (160) gives:
% 241.07/47.36  | | | | | | | |   (161)  all_14_24 = e12
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | REDUCE: (61), (161) imply:
% 241.07/47.36  | | | | | | | |   (162)   ~ (all_14_22 = e12)
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | BETA: splitting (35) gives:
% 241.07/47.36  | | | | | | | | 
% 241.07/47.36  | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | |   (163)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 =
% 241.07/47.36  | | | | | | | | |            e10 & op1(e13, e14) = e10)
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | BETA: splitting (163) gives:
% 241.07/47.36  | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | |   (164)  all_25_0 = e10 & op1(e14, e14) = e10
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | ALPHA: (164) implies:
% 241.07/47.36  | | | | | | | | | |   (165)  all_25_0 = e10
% 241.07/47.36  | | | | | | | | | |   (166)  op1(e14, e14) = e10
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_0, e10, e14, e14,
% 241.07/47.36  | | | | | | | | | |              simplifying with (12), (166) gives:
% 241.07/47.36  | | | | | | | | | |   (167)  all_14_0 = e10
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | REDUCE: (48), (167) imply:
% 241.07/47.36  | | | | | | | | | |   (168)   ~ (all_14_10 = e10)
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | BETA: splitting (53) gives:
% 241.07/47.36  | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | Case 1:
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | |   (169)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 241.07/47.36  | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | BETA: splitting (169) gives:
% 241.07/47.36  | | | | | | | | | | | 
% 241.07/47.36  | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | |   (170)  all_25_20 = e10 & op1(e10, e14) = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | ALPHA: (170) implies:
% 241.21/47.36  | | | | | | | | | | | |   (171)  all_25_20 = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11),
% 241.21/47.36  | | | | | | | | | | | |            (14), (17), (19), (20), (22), (24), (25), (27),
% 241.21/47.36  | | | | | | | | | | | |            (29), (31), (32), (33), (34), (36), (38), (40),
% 241.21/47.36  | | | | | | | | | | | |            (42), (44), (46), (47), (54), (55), (56), (57),
% 241.21/47.36  | | | | | | | | | | | |            (63), (64), (66), (68), (75), (78), (81), (84),
% 241.21/47.36  | | | | | | | | | | | |            (85), (86), (91), (93), (97), (98), (105), (116),
% 241.21/47.36  | | | | | | | | | | | |            (118), (120), (124), (159), (171) are inconsistent
% 241.21/47.36  | | | | | | | | | | | |            by sub-proof #132.
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | |   (172)  all_25_21 = e10 & op1(e10, e13) = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (24), (25), (29), (40), (42), (46),
% 241.21/47.36  | | | | | | | | | | | |            (47), (56), (57), (84), (93), (98), (116), (172)
% 241.21/47.36  | | | | | | | | | | | |            are inconsistent by sub-proof #934.
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | |   (173)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 241.21/47.36  | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.21/47.36  | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | BETA: splitting (173) gives:
% 241.21/47.36  | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | |   (174)  all_25_22 = e10 & op1(e10, e12) = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | ALPHA: (174) implies:
% 241.21/47.36  | | | | | | | | | | | |   (175)  all_25_22 = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | BETA: splitting (96) gives:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | |   (176)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 241.21/47.36  | | | | | | | | | | | | |            = e11 & op1(e13, e12) = e11)
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | BETA: splitting (176) gives:
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | |   (177)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | ALPHA: (177) implies:
% 241.21/47.36  | | | | | | | | | | | | | |   (178)  all_25_4 = e11
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | |   (179)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 241.21/47.36  | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | |   (180)  all_25_4 = e14 & op1(e14, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 241.21/47.36  | | | | | | | | | | | | | | | |   (181)  all_25_4 = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (181) imply:
% 241.21/47.36  | | | | | | | | | | | | | | | |   (182)  e14 = e11
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44),
% 241.21/47.36  | | | | | | | | | | | | | | | |            (86), (93), (105), (182) are inconsistent by
% 241.21/47.36  | | | | | | | | | | | | | | | |            sub-proof #137.
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | |   (183)  all_25_5 = e14 & op1(e13, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 241.21/47.36  | | | | | | | | | | | | | | | |   (184)  op1(e13, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (42), (47), (184) are inconsistent by
% 241.21/47.36  | | | | | | | | | | | | | | | |            sub-proof #1286.
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | |   (185)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 241.21/47.36  | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 241.21/47.36  | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | |   (186)  all_25_8 = e14 & op1(e12, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (17),
% 241.21/47.36  | | | | | | | | | | | | | | | |            (18), (22), (24), (25), (27), (29), (36), (42),
% 241.21/47.36  | | | | | | | | | | | | | | | |            (44), (46), (47), (54), (56), (57), (60), (64),
% 241.21/47.36  | | | | | | | | | | | | | | | |            (66), (84), (86), (90), (93), (94), (97), (98),
% 241.21/47.36  | | | | | | | | | | | | | | | |            (105), (116), (118), (120), (186) are inconsistent
% 241.21/47.36  | | | | | | | | | | | | | | | |            by sub-proof #129.
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | |   (187)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 241.21/47.36  | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | |   (188)  all_25_14 = e14 & op1(e11, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (20), (24), (25), (27), (29), (42),
% 241.21/47.36  | | | | | | | | | | | | | | | | |            (44), (86), (93), (105), (188) are inconsistent by
% 241.21/47.36  | | | | | | | | | | | | | | | | |            sub-proof #469.
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | |   (189)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (175), (189) are inconsistent by sub-proof
% 241.21/47.36  | | | | | | | | | | | | | | | | |            #128.
% 241.21/47.36  | | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | |   (190)  all_25_5 = e11 & op1(e13, e12) = e11
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | REF_CLOSE: (42), (47), (120), (190) are inconsistent by
% 241.21/47.36  | | | | | | | | | | | | | |            sub-proof #1285.
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | |   (191)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 241.21/47.36  | | | | | | | | | | | | |          (all_25_14 = e11 & op1(e11, e12) = e11) |
% 241.21/47.36  | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | BETA: splitting (191) gives:
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | |   (192)  all_25_8 = e11 & op1(e12, e12) = e11
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | ALPHA: (192) implies:
% 241.21/47.36  | | | | | | | | | | | | | |   (193)  all_25_8 = e11
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | REF_CLOSE: (22), (124), (193) are inconsistent by sub-proof
% 241.21/47.36  | | | | | | | | | | | | | |            #1003.
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | |   (194)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 241.21/47.36  | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | |   (195)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | REF_CLOSE: (20), (46), (195) are inconsistent by sub-proof
% 241.21/47.36  | | | | | | | | | | | | | | |            #477.
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | |   (196)  all_25_22 = e11 & op1(e10, e12) = e11
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 241.21/47.36  | | | | | | | | | | | | | | |   (197)  all_25_22 = e11
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | COMBINE_EQS: (175), (197) imply:
% 241.21/47.36  | | | | | | | | | | | | | | |   (198)  e11 = e10
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | REDUCE: (120), (198) imply:
% 241.21/47.36  | | | | | | | | | | | | | | |   (199)  $false
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 241.21/47.36  | | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | End of split
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | Case 2:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | |   (200)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | ALPHA: (200) implies:
% 241.21/47.36  | | | | | | | | | | | |   (201)  all_25_23 = e10
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | BETA: splitting (7) gives:
% 241.21/47.36  | | | | | | | | | | | | 
% 241.21/47.36  | | | | | | | | | | | | Case 1:
% 241.21/47.36  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | |   (202)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 241.21/47.37  | | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | BETA: splitting (202) gives:
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | |   (203)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | REF_CLOSE: (46), (54), (203) are inconsistent by sub-proof
% 241.21/47.37  | | | | | | | | | | | | | |            #967.
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | |   (204)  all_25_10 = e11 & op1(e13, e11) = e11
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44),
% 241.21/47.37  | | | | | | | | | | | | | |            (60), (86), (93), (105), (204) are inconsistent by
% 241.21/47.37  | | | | | | | | | | | | | |            sub-proof #474.
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | End of split
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | |   (205)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 241.21/47.37  | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.21/47.37  | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | BETA: splitting (205) gives:
% 241.21/47.37  | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | |   (206)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | ALPHA: (206) implies:
% 241.21/47.37  | | | | | | | | | | | | | |   (207)  all_25_11 = e11
% 241.21/47.37  | | | | | | | | | | | | | |   (208)  op1(e12, e11) = e11
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 241.21/47.37  | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | |   (209)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 241.21/47.37  | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | |   (210)  all_25_6 = e10 & op1(e12, e14) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (24), (25), (29), (42), (46), (47),
% 241.21/47.37  | | | | | | | | | | | | | | | |            (56), (57), (64), (84), (93), (98), (116), (210)
% 241.21/47.37  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1180.
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | |   (211)  all_25_7 = e10 & op1(e12, e13) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (105), (211) are inconsistent by sub-proof
% 241.21/47.37  | | | | | | | | | | | | | | | |            #982.
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | End of split
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | |   (212)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 241.21/47.37  | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 241.21/47.37  | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | |   (213)  all_25_8 = e10 & op1(e12, e12) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 241.21/47.37  | | | | | | | | | | | | | | | |   (214)  all_25_8 = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (29), (42), (46),
% 241.21/47.37  | | | | | | | | | | | | | | | |            (47), (56), (57), (66), (84), (93), (116), (118),
% 241.21/47.37  | | | | | | | | | | | | | | | |            (120), (124), (214) are inconsistent by sub-proof
% 241.21/47.37  | | | | | | | | | | | | | | | |            #1067.
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | |   (215)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 241.21/47.37  | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (216)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (207), (216) are inconsistent by sub-proof
% 241.21/47.37  | | | | | | | | | | | | | | | | |            #144.
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (217)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (218)  op1(e12, e10) = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_22, e10, e10, e12,
% 241.21/47.37  | | | | | | | | | | | | | | | | |              simplifying with (45), (218) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (219)  all_14_22 = e10
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_17, e11, e11, e12,
% 241.21/47.37  | | | | | | | | | | | | | | | | |              simplifying with (50), (208) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (220)  all_14_17 = e11
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | REDUCE: (112), (220) imply:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (221)   ~ (e14 = e11)
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | REDUCE: (87), (220) imply:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (222)   ~ (e13 = e11)
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | REDUCE: (128), (220) imply:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (223)   ~ (e12 = e11)
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | REDUCE: (114), (219) imply:
% 241.21/47.37  | | | | | | | | | | | | | | | | |   (224)   ~ (e14 = e10)
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | |   (225)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 241.21/47.37  | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 241.21/47.37  | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 241.21/47.37  | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | | Case 1:
% 241.21/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | | |   (226)  all_25_0 = e11 & op1(e14, e14) = e11
% 241.21/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (165), (226) are inconsistent by sub-proof
% 241.21/47.37  | | | | | | | | | | | | | | | | | | |            #1222.
% 241.21/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.21/47.37  | | | | | | | | | | | | | | | | | | Case 2:
% 241.21/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |   (227)  all_25_2 = e11 & op1(e13, e14) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |   (228)  all_25_2 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (228) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |            #1339.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | |   (229)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |   (230)  all_25_6 = e11 & op1(e12, e14) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (64), (230) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |            #1188.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |   (231)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | |   (232)  all_25_12 = e11 & op1(e11, e14) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | |   (233)  all_25_12 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |   (234)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (17), (22), (24),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (25), (29), (33), (34), (36), (42), (46), (47),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (54), (56), (57), (66), (75), (78), (84), (91),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (93), (98), (116), (118), (120), (234) are
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #127.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |   (235)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |   (236)  all_25_6 = e14 & op1(e12, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (64), (236) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |            #1184.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (233), (238) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            #1183.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_25_20 = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (11), (16), (17), (18), (20), (22), (24), (25),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (33), (36), (38), (40), (42),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (47), (51), (54), (56), (57), (60),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (64), (66), (75), (80), (81), (84), (86), (88),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (94), (97), (98), (105), (116),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (159), (165), (201), (233), (240)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #122.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | |   (241)  all_25_20 = e11 & op1(e10, e14) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | |   (242)  all_25_20 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | |   (243)  op1(e10, e14) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |   (244)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (17), (22), (24),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (25), (29), (33), (34), (36), (42), (46), (47),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (54), (56), (57), (66), (75), (78), (84), (91),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            (93), (98), (116), (118), (120), (244) are
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #127.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |   (245)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |   (246)  all_25_6 = e14 & op1(e12, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (64), (246) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |            #1184.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |   (247)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_25_12 = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | |   (250)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (251) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_25_20 = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (242), (252) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  e14 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (253) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_25_12 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (11), (16), (17), (18), (20), (22), (24), (25),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (33), (36), (38), (40), (42),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (47), (51), (54), (56), (57), (60),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (66), (75), (80), (81), (84), (86), (88),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (94), (97), (98), (105), (116),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (159), (165), (201), (252), (254)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #122.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_25_21 = e14 & op1(e10, e13) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op1(e10, e13) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (29), (42), (256) are inconsistent by
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  op1(e10, e12) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (29), (33), (36), (42), (47), (56), (75),
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (83), (91), (116), (243), (259) are
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_25_23 = e14 & op1(e10, e11) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  op1(e10, e11) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (63), (85), (262) are inconsistent by
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1257.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_25_24 = e14 & op1(e10, e10) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_25_24 = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (159), (264) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  e14 = e12
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  e14 = e12
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (266) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  $false
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_25_20 = e14
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (242), (269) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (270)  e14 = e11
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (270) imply:
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | |   (271)  $false
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | |   (272)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.23/47.37  | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.23/47.37  | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 241.23/47.37  | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | |   (273)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (273) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | |            #418.
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | |   (274)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | | REF_CLOSE: (120), (201), (274) are inconsistent by sub-proof
% 241.23/47.37  | | | | | | | | | | | | | | |            #120.
% 241.23/47.37  | | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | |   (275)  all_25_2 = e10 & op1(e13, e14) = e10
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | ALPHA: (275) implies:
% 241.23/47.37  | | | | | | | | | |   (276)  all_25_2 = e10
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | REF_CLOSE: (4), (6), (17), (22), (24), (29), (42), (46),
% 241.23/47.37  | | | | | | | | | |            (47), (56), (57), (66), (84), (93), (116), (118),
% 241.23/47.37  | | | | | | | | | |            (120), (276) are inconsistent by sub-proof #1281.
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | 
% 241.23/47.37  | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | 
% 241.23/47.37  | | | | | | | | |   (277)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 =
% 241.23/47.37  | | | | | | | | |            e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 241.23/47.37  | | | | | | | | |            op1(e10, e14) = e10)
% 241.23/47.37  | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | BETA: splitting (277) gives:
% 241.23/47.37  | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | |   (278)  all_25_6 = e10 & op1(e12, e14) = e10
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (24), (25), (29), (42), (46), (47),
% 241.23/47.37  | | | | | | | | | |            (56), (57), (64), (84), (93), (98), (116), (278)
% 241.23/47.37  | | | | | | | | | |            are inconsistent by sub-proof #1180.
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | |   (279)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 241.23/47.37  | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | BETA: splitting (279) gives:
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | Case 1:
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | |   (280)  all_25_12 = e10 & op1(e11, e14) = e10
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | ALPHA: (280) implies:
% 241.23/47.37  | | | | | | | | | | |   (281)  all_25_12 = e10
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (16), (17), (20), (22),
% 241.23/47.37  | | | | | | | | | | |            (24), (25), (27), (29), (38), (40), (42), (44),
% 241.23/47.37  | | | | | | | | | | |            (46), (47), (51), (56), (57), (66), (80), (81),
% 241.23/47.37  | | | | | | | | | | |            (84), (86), (93), (98), (105), (116), (118),
% 241.23/47.37  | | | | | | | | | | |            (120), (281) are inconsistent by sub-proof #126.
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | Case 2:
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | |   (282)  all_25_20 = e10 & op1(e10, e14) = e10
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | ALPHA: (282) implies:
% 241.23/47.37  | | | | | | | | | | |   (283)  all_25_20 = e10
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11),
% 241.23/47.37  | | | | | | | | | | |            (14), (17), (19), (20), (22), (24), (25), (27),
% 241.23/47.37  | | | | | | | | | | |            (29), (31), (32), (33), (34), (36), (38), (40),
% 241.23/47.37  | | | | | | | | | | |            (42), (44), (46), (47), (54), (55), (56), (57),
% 241.23/47.37  | | | | | | | | | | |            (63), (64), (66), (68), (75), (78), (81), (84),
% 241.23/47.37  | | | | | | | | | | |            (85), (86), (91), (93), (97), (98), (105), (116),
% 241.23/47.37  | | | | | | | | | | |            (118), (120), (124), (159), (283) are inconsistent
% 241.23/47.37  | | | | | | | | | | |            by sub-proof #132.
% 241.23/47.37  | | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | | 
% 241.23/47.37  | | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | | 
% 241.23/47.37  | | | | | | | | End of split
% 241.23/47.37  | | | | | | | | 
% 241.23/47.37  | | | | | | | End of split
% 241.23/47.37  | | | | | | | 
% 241.23/47.37  | | | | | | End of split
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | End of split
% 241.23/47.37  | | | | | 
% 241.23/47.37  | | | | Case 2:
% 241.23/47.37  | | | | | 
% 241.23/47.37  | | | | |   (284)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 241.23/47.37  | | | | |            op1(e10, e12) = e12)
% 241.23/47.37  | | | | | 
% 241.23/47.37  | | | | | BETA: splitting (284) gives:
% 241.23/47.37  | | | | | 
% 241.23/47.37  | | | | | Case 1:
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | |   (285)  all_25_14 = e12 & op1(e11, e12) = e12
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | | REF_CLOSE: (20), (56), (285) are inconsistent by sub-proof #478.
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | Case 2:
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | |   (286)  all_25_22 = e12 & op1(e10, e12) = e12
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | | ALPHA: (286) implies:
% 241.23/47.37  | | | | | |   (287)  all_25_22 = e12
% 241.23/47.37  | | | | | |   (288)  op1(e10, e12) = e12
% 241.23/47.37  | | | | | | 
% 241.23/47.37  | | | | | | BETA: splitting (88) gives:
% 241.23/47.37  | | | | | | 
% 241.23/47.38  | | | | | | Case 1:
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | |   (289)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14
% 241.23/47.38  | | | | | | |            & op1(e13, e12) = e14)
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | | BETA: splitting (289) gives:
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | |   (290)  all_25_4 = e14 & op1(e14, e12) = e14
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | ALPHA: (290) implies:
% 241.23/47.38  | | | | | | | |   (291)  all_25_4 = e14
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | BETA: splitting (96) gives:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | |   (292)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 =
% 241.23/47.38  | | | | | | | | |            e11 & op1(e13, e12) = e11)
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | BETA: splitting (292) gives:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | |   (293)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44),
% 241.23/47.38  | | | | | | | | | |            (86), (93), (105), (291), (293) are inconsistent
% 241.23/47.38  | | | | | | | | | |            by sub-proof #464.
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | |   (294)  all_25_5 = e11 & op1(e13, e12) = e11
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | REF_CLOSE: (42), (47), (120), (294) are inconsistent by
% 241.23/47.38  | | | | | | | | | |            sub-proof #1285.
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | |   (295)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 =
% 241.23/47.38  | | | | | | | | |            e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 241.23/47.38  | | | | | | | | |            op1(e10, e12) = e11)
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | BETA: splitting (295) gives:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | |   (296)  all_25_8 = e11 & op1(e12, e12) = e11
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | ALPHA: (296) implies:
% 241.23/47.38  | | | | | | | | | |   (297)  all_25_8 = e11
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | BETA: splitting (94) gives:
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | |   (298)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 241.23/47.38  | | | | | | | | | | |            = e12 & op1(e12, e13) = e12)
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | REF_CLOSE: (3), (18), (42), (56), (64), (298) are
% 241.23/47.38  | | | | | | | | | | |            inconsistent by sub-proof #463.
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | |   (299)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 241.23/47.38  | | | | | | | | | | |          (all_25_11 = e12 & op1(e12, e11) = e12) |
% 241.23/47.38  | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | BETA: splitting (299) gives:
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | |   (300)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | ALPHA: (300) implies:
% 241.23/47.38  | | | | | | | | | | | |   (301)  all_25_8 = e12
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | COMBINE_EQS: (297), (301) imply:
% 241.23/47.38  | | | | | | | | | | | |   (302)  e12 = e11
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | REDUCE: (22), (302) imply:
% 241.23/47.38  | | | | | | | | | | | |   (303)  $false
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | CLOSE: (303) is inconsistent.
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | |   (304)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 241.23/47.38  | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | BETA: splitting (304) gives:
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | |   (305)  all_25_11 = e12 & op1(e12, e11) = e12
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | ALPHA: (305) implies:
% 241.23/47.38  | | | | | | | | | | | | |   (306)  all_25_11 = e12
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (17), (22),
% 241.23/47.38  | | | | | | | | | | | | |            (24), (25), (27), (29), (36), (42), (44), (46),
% 241.23/47.38  | | | | | | | | | | | | |            (47), (54), (56), (57), (60), (66), (84), (86),
% 241.23/47.38  | | | | | | | | | | | | |            (93), (98), (105), (116), (118), (120), (306) are
% 241.23/47.38  | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | |   (307)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | ALPHA: (307) implies:
% 241.23/47.38  | | | | | | | | | | | | |   (308)  all_25_18 = e12
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | BETA: splitting (19) gives:
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | |   (309)  (all_25_16 = e10 & op1(e14, e10) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | |          (all_25_17 = e10 & op1(e13, e10) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (10), (24), (25), (29), (33), (36),
% 241.23/47.38  | | | | | | | | | | | | | |            (42), (46), (47), (56), (57), (75), (84), (91),
% 241.23/47.38  | | | | | | | | | | | | | |            (93), (116), (309) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | |            #141.
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | |   (310)  (all_25_18 = e10 & op1(e12, e10) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | |   (311)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 241.23/47.38  | | | | | | | | | | | | | | |   (312)  all_25_18 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (29), (42), (46),
% 241.23/47.38  | | | | | | | | | | | | | | |            (47), (56), (57), (66), (84), (93), (116), (118),
% 241.23/47.38  | | | | | | | | | | | | | | |            (120), (308), (312) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | |            #977.
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | |   (313)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 241.23/47.38  | | | | | | | | | | | | | | |   (314)  all_25_19 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | |   (315)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (316)  all_25_12 = e11 & op1(e11, e14) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (317)  all_25_12 = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | |   (318)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 241.23/47.38  | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (319)  all_25_6 = e10 & op1(e12, e14) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (24), (25), (29), (42), (46), (47),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |            (56), (57), (64), (84), (93), (98), (116), (319)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1180.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (320)  all_25_7 = e10 & op1(e12, e13) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (105), (320) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |            #982.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | |   (321)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (322)  all_25_8 = e10 & op1(e12, e12) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (323)  all_25_8 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (323) imply:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (324)  e11 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (324) imply:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (325)  $false
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |   (326)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |   (327)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |   (328)  all_25_11 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | |   (329)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |   (330)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (54), (330) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |            #967.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |   (331)  all_25_10 = e11 & op1(e13, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (24), (25), (27), (29), (42), (44),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |            (60), (86), (93), (105), (331) are inconsistent by
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #474.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | |   (332)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |   (333)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (328), (333) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |            #1112.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (335) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_25_23 = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_25_20 = e10 & op1(e10, e14) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_25_20 = e10 & op1(e10, e14) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_25_20 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (17), (22), (24),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (27), (29), (33), (34), (36), (42), (44),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (54), (55), (56), (57), (64), (66),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (78), (84), (86), (91), (93), (98), (105),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (118), (120), (317), (340) are inconsistent
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #136.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_25_21 = e10 & op1(e10, e13) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (24), (25), (29), (40), (42), (46),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (56), (57), (84), (93), (98), (116), (341)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1256.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_25_22 = e10 & op1(e10, e12) = e10) |
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_25_22 = e10 & op1(e10, e12) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (29), (42), (46),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (56), (57), (66), (84), (93), (116), (118),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (287), (343) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (337), (344) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |   (345)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |   (346)  all_25_18 = e10
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (17), (22), (24), (29), (42), (46),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |            (47), (56), (57), (66), (84), (93), (116), (118),
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |            (120), (308), (346) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | |            #977.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (347)  all_25_13 = e11 & op1(e11, e13) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (348)  all_25_13 = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (17), (22), (24), (25), (27),
% 241.23/47.38  | | | | | | | | | | | | | | | | |            (29), (40), (42), (46), (47), (56), (57), (66),
% 241.23/47.38  | | | | | | | | | | | | | | | | |            (81), (84), (86), (93), (98), (116), (118), (120),
% 241.23/47.38  | | | | | | | | | | | | | | | | |            (348) are inconsistent by sub-proof #446.
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | |   (349)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (350)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (46), (350) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | |            #477.
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | |   (351)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.23/47.38  | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | |   (352)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (352) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | |            #418.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | |   (353)  all_25_19 = e11 & op1(e11, e10) = e11
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (314), (353) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | | | | | | | | | | |            #1153.
% 241.23/47.38  | | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | |   (354)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 241.23/47.38  | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | | REF_CLOSE: (20), (22), (42), (46), (288), (354) are
% 241.23/47.38  | | | | | | | | | |            inconsistent by sub-proof #117.
% 241.23/47.38  | | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | |   (355)  all_25_5 = e14 & op1(e13, e12) = e14
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | ALPHA: (355) implies:
% 241.23/47.38  | | | | | | | |   (356)  op1(e13, e12) = e14
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | REF_CLOSE: (4), (42), (47), (356) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | |            #1286.
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | End of split
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | Case 2:
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | |   (357)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14
% 241.23/47.38  | | | | | | |            & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10,
% 241.23/47.38  | | | | | | |              e12) = e14)
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | | BETA: splitting (357) gives:
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | |   (358)  all_25_8 = e14 & op1(e12, e12) = e14
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (17), (18),
% 241.23/47.38  | | | | | | | |            (22), (24), (25), (27), (29), (36), (42), (44), (46),
% 241.23/47.38  | | | | | | | |            (47), (54), (56), (57), (60), (64), (66), (84), (86),
% 241.23/47.38  | | | | | | | |            (90), (93), (94), (97), (98), (105), (116), (118),
% 241.23/47.38  | | | | | | | |            (120), (358) are inconsistent by sub-proof #129.
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | |   (359)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 =
% 241.23/47.38  | | | | | | | |            e14 & op1(e10, e12) = e14)
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | BETA: splitting (359) gives:
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | | Case 1:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | |   (360)  all_25_14 = e14 & op1(e11, e12) = e14
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | REF_CLOSE: (4), (9), (20), (24), (25), (27), (29), (42), (44),
% 241.23/47.38  | | | | | | | | |            (86), (93), (105), (360) are inconsistent by
% 241.23/47.38  | | | | | | | | |            sub-proof #469.
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | Case 2:
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | |   (361)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | | REF_CLOSE: (93), (287), (361) are inconsistent by sub-proof
% 241.23/47.38  | | | | | | | | |            #476.
% 241.23/47.38  | | | | | | | | | 
% 241.23/47.38  | | | | | | | | End of split
% 241.23/47.38  | | | | | | | | 
% 241.23/47.38  | | | | | | | End of split
% 241.23/47.38  | | | | | | | 
% 241.23/47.38  | | | | | | End of split
% 241.23/47.38  | | | | | | 
% 241.23/47.38  | | | | | End of split
% 241.23/47.38  | | | | | 
% 241.23/47.38  | | | | End of split
% 241.23/47.38  | | | | 
% 241.23/47.38  | | | End of split
% 241.23/47.38  | | | 
% 241.23/47.38  | | Case 2:
% 241.23/47.38  | | | 
% 241.23/47.38  | | |   (362)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 241.23/47.38  | | |            op1(e10, e13) = e14)
% 241.23/47.38  | | | 
% 241.23/47.38  | | | REF_CLOSE: (4), (27), (29), (42), (44), (362) are inconsistent by
% 241.23/47.38  | | |            sub-proof #1273.
% 241.23/47.38  | | | 
% 241.23/47.38  | | End of split
% 241.23/47.38  | | 
% 241.23/47.38  | End of split
% 241.23/47.38  | 
% 241.23/47.38  End of proof
% 241.23/47.38  
% 241.23/47.38  Sub-proof #117 shows that the following formulas are inconsistent:
% 241.23/47.38  ----------------------------------------------------------------
% 241.23/47.38    (1)  op1(e10, e12) = e12
% 241.23/47.38    (2)  all_25_14 = e13
% 241.23/47.38    (3)   ~ (e12 = e11)
% 241.23/47.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.38           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.38    (5)   ~ (e13 = e11)
% 241.23/47.38    (6)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10,
% 241.23/47.38             e12) = e11)
% 241.23/47.38  
% 241.23/47.38  Begin of proof
% 241.23/47.38  | 
% 241.23/47.38  | BETA: splitting (6) gives:
% 241.23/47.38  | 
% 241.23/47.38  | Case 1:
% 241.23/47.38  | | 
% 241.23/47.38  | |   (7)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.23/47.38  | | 
% 241.23/47.38  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #477.
% 241.23/47.38  | | 
% 241.23/47.38  | Case 2:
% 241.23/47.38  | | 
% 241.23/47.38  | |   (8)  all_25_22 = e11 & op1(e10, e12) = e11
% 241.23/47.38  | | 
% 241.23/47.38  | | ALPHA: (8) implies:
% 241.23/47.38  | |   (9)  op1(e10, e12) = e11
% 241.23/47.38  | | 
% 241.23/47.38  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #118.
% 241.23/47.38  | | 
% 241.23/47.38  | End of split
% 241.23/47.38  | 
% 241.23/47.38  End of proof
% 241.23/47.38  
% 241.23/47.38  Sub-proof #118 shows that the following formulas are inconsistent:
% 241.23/47.38  ----------------------------------------------------------------
% 241.23/47.38    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.38           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.39    (2)  op1(e10, e12) = e12
% 241.23/47.39    (3)  op1(e10, e12) = e11
% 241.23/47.39    (4)   ~ (e12 = e11)
% 241.23/47.39  
% 241.23/47.39  Begin of proof
% 241.23/47.39  | 
% 241.23/47.39  | GROUND_INST: instantiating (1) with e11, e12, e12, e10, simplifying with (2),
% 241.23/47.39  |              (3) gives:
% 241.23/47.39  |   (5)  e12 = e11
% 241.23/47.39  | 
% 241.23/47.39  | REDUCE: (4), (5) imply:
% 241.23/47.39  |   (6)  $false
% 241.23/47.39  | 
% 241.23/47.39  | CLOSE: (6) is inconsistent.
% 241.23/47.39  | 
% 241.23/47.39  End of proof
% 241.23/47.39  
% 241.23/47.39  Sub-proof #119 shows that the following formulas are inconsistent:
% 241.23/47.39  ----------------------------------------------------------------
% 241.23/47.39    (1)   ~ (e14 = e10)
% 241.23/47.39    (2)  all_25_2 = e12
% 241.23/47.39    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.23/47.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.23/47.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.23/47.39    (4)  all_25_22 = e12
% 241.23/47.39    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.23/47.39           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.23/47.39           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.23/47.39    (6)   ~ (e12 = e11)
% 241.23/47.39    (7)  all_25_22 = e10 & op1(e10, e12) = e10
% 241.23/47.39    (8)   ~ (e14 = e11)
% 241.23/47.39    (9)   ~ (e13 = e10)
% 241.23/47.39    (10)   ~ (e14 = e13)
% 241.23/47.39    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.39    (12)   ~ (e13 = e11)
% 241.23/47.39    (13)  op1(e13, e12) = e10
% 241.23/47.39    (14)   ~ (e11 = e10)
% 241.23/47.39    (15)   ~ (e13 = e12)
% 241.23/47.39    (16)  op1(e13, e13) = e11
% 241.23/47.39    (17)   ~ (e12 = e10)
% 241.23/47.39    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.23/47.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.23/47.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.23/47.39    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.23/47.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.23/47.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.23/47.39    (20)   ~ (e14 = e12)
% 241.23/47.39  
% 241.23/47.39  Begin of proof
% 241.23/47.39  | 
% 241.23/47.39  | ALPHA: (7) implies:
% 241.23/47.39  |   (21)  all_25_22 = e10
% 241.23/47.39  | 
% 241.23/47.39  | COMBINE_EQS: (4), (21) imply:
% 241.23/47.39  |   (22)  e12 = e10
% 241.23/47.39  | 
% 241.23/47.39  | COMBINE_EQS: (2), (22) imply:
% 241.23/47.39  |   (23)  all_25_2 = e10
% 241.23/47.39  | 
% 241.23/47.39  | REF_CLOSE: (1), (3), (5), (6), (8), (9), (10), (11), (12), (13), (14), (15),
% 241.23/47.39  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.23/47.39  |            #1281.
% 241.23/47.39  | 
% 241.23/47.39  End of proof
% 241.23/47.39  
% 241.23/47.39  Sub-proof #120 shows that the following formulas are inconsistent:
% 241.23/47.39  ----------------------------------------------------------------
% 241.23/47.39    (1)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.23/47.39    (2)  all_25_23 = e10
% 241.23/47.39    (3)   ~ (e11 = e10)
% 241.23/47.39  
% 241.23/47.39  Begin of proof
% 241.23/47.39  | 
% 241.23/47.39  | ALPHA: (1) implies:
% 241.23/47.39  |   (4)  all_25_23 = e11
% 241.23/47.39  | 
% 241.23/47.39  | COMBINE_EQS: (2), (4) imply:
% 241.23/47.39  |   (5)  e11 = e10
% 241.23/47.39  | 
% 241.23/47.39  | REDUCE: (3), (5) imply:
% 241.23/47.39  |   (6)  $false
% 241.23/47.39  | 
% 241.23/47.39  | CLOSE: (6) is inconsistent.
% 241.23/47.39  | 
% 241.23/47.39  End of proof
% 241.23/47.39  
% 241.23/47.39  Sub-proof #121 shows that the following formulas are inconsistent:
% 241.23/47.39  ----------------------------------------------------------------
% 241.23/47.39    (1)   ~ (e12 = e11)
% 241.23/47.39    (2)   ~ (e13 = e10)
% 241.23/47.39    (3)  op1(e10, e12) = e14
% 241.23/47.39    (4)   ~ (e14 = e13)
% 241.23/47.39    (5)  op1(e10, e14) = e11
% 241.23/47.39    (6)  op1(e13, unit1) = e13
% 241.23/47.39    (7)  op1(e13, e11) = e14
% 241.23/47.39    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.39           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.39    (9)  op1(e13, e12) = e10
% 241.23/47.39    (10)   ~ (e13 = e12)
% 241.23/47.39    (11)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.23/47.39    (12)  op1(unit1, e14) = e14
% 241.23/47.39    (13)  op1(unit1, e12) = e12
% 241.23/47.39    (14)  op1(e13, e14) = e12
% 241.23/47.39  
% 241.23/47.39  Begin of proof
% 241.23/47.39  | 
% 241.23/47.39  | BETA: splitting (11) gives:
% 241.23/47.39  | 
% 241.23/47.39  | Case 1:
% 241.23/47.39  | | 
% 241.23/47.39  | |   (15)  unit1 = e14
% 241.23/47.39  | | 
% 241.23/47.39  | | REDUCE: (6), (15) imply:
% 241.23/47.39  | |   (16)  op1(e13, e14) = e13
% 241.23/47.39  | | 
% 241.23/47.39  | | REF_CLOSE: (8), (10), (14), (16) are inconsistent by sub-proof #1227.
% 241.23/47.39  | | 
% 241.23/47.39  | Case 2:
% 241.23/47.39  | | 
% 241.23/47.39  | |   (17)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.23/47.39  | | 
% 241.23/47.39  | | BETA: splitting (17) gives:
% 241.23/47.39  | | 
% 241.23/47.39  | | Case 1:
% 241.23/47.39  | | | 
% 241.23/47.39  | | |   (18)  unit1 = e12
% 241.23/47.39  | | | 
% 241.23/47.39  | | | REDUCE: (6), (18) imply:
% 241.23/47.39  | | |   (19)  op1(e13, e12) = e13
% 241.23/47.39  | | | 
% 241.23/47.39  | | | REF_CLOSE: (2), (8), (9), (19) are inconsistent by sub-proof #1334.
% 241.23/47.39  | | | 
% 241.23/47.39  | | Case 2:
% 241.23/47.39  | | | 
% 241.23/47.39  | | |   (20)  unit1 = e11 | unit1 = e10
% 241.23/47.39  | | | 
% 241.23/47.39  | | | BETA: splitting (20) gives:
% 241.23/47.39  | | | 
% 241.23/47.39  | | | Case 1:
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | |   (21)  unit1 = e11
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | | REDUCE: (6), (21) imply:
% 241.23/47.39  | | | |   (22)  op1(e13, e11) = e13
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | | REF_CLOSE: (4), (7), (8), (22) are inconsistent by sub-proof #1333.
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | Case 2:
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | |   (23)  unit1 = e10
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | | REDUCE: (12), (23) imply:
% 241.23/47.39  | | | |   (24)  op1(e10, e14) = e14
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | | REDUCE: (13), (23) imply:
% 241.23/47.39  | | | |   (25)  op1(e10, e12) = e12
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | | REF_CLOSE: (1), (3), (5), (8), (24), (25) are inconsistent by sub-proof
% 241.23/47.39  | | | |            #1204.
% 241.23/47.39  | | | | 
% 241.23/47.39  | | | End of split
% 241.23/47.39  | | | 
% 241.23/47.39  | | End of split
% 241.23/47.39  | | 
% 241.23/47.39  | End of split
% 241.23/47.39  | 
% 241.23/47.39  End of proof
% 241.23/47.39  
% 241.23/47.39  Sub-proof #122 shows that the following formulas are inconsistent:
% 241.23/47.39  ----------------------------------------------------------------
% 241.23/47.39    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 241.23/47.39             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 241.23/47.39           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.23/47.39    (2)  op1(e12, e13) = all_14_7
% 241.23/47.39    (3)   ~ (e14 = e10)
% 241.23/47.39    (4)  all_25_2 = e12
% 241.23/47.39    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.23/47.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.23/47.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.23/47.39    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 241.23/47.39           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 241.23/47.39           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.23/47.39    (7)  all_25_15 = e12
% 241.23/47.39    (8)  all_25_1 = e12
% 241.23/47.39    (9)  op1(e14, unit1) = e14
% 241.23/47.39    (10)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 241.23/47.39              e11) = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 =
% 241.23/47.39            e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.23/47.39    (11)  all_25_20 = e14
% 241.23/47.39    (12)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 241.23/47.39              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 241.23/47.39            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 241.23/47.39    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.23/47.39            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.23/47.39            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.23/47.39    (14)   ~ (all_14_7 = e12)
% 241.23/47.39    (15)  all_25_14 = e13
% 241.23/47.39    (16)   ~ (e12 = e11)
% 241.23/47.39    (17)   ~ (e14 = e11)
% 241.23/47.39    (18)  all_25_3 = e11
% 241.23/47.39    (19)  op1(e10, e13) = e13
% 241.23/47.39    (20)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.23/47.39            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.23/47.39            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.23/47.39    (21)   ~ (e13 = e10)
% 241.23/47.39    (22)   ~ (e14 = e13)
% 241.23/47.39    (23)  all_25_24 = e12
% 241.23/47.39    (24)  op1(e13, unit1) = e13
% 241.23/47.39    (25)  op1(e13, e11) = e14
% 241.23/47.39    (26)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 241.23/47.39              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 241.23/47.39            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.23/47.39    (27)  all_25_21 = e13
% 241.23/47.39    (28)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.39    (29)  all_25_13 = e10
% 241.23/47.39    (30)   ~ (e13 = e11)
% 241.23/47.39    (31)  op1(e13, e12) = e10
% 241.23/47.39    (32)   ~ (all_14_18 = e14)
% 241.23/47.39    (33)   ~ (e11 = e10)
% 241.23/47.39    (34)  all_25_9 = e13
% 241.23/47.39    (35)   ~ (e13 = e12)
% 241.23/47.39    (36)  op1(e13, e13) = e11
% 241.23/47.39    (37)  all_25_23 = e10
% 241.23/47.39    (38)   ~ (e12 = e10)
% 241.23/47.39    (39)  all_25_10 = e14
% 241.23/47.39    (40)  all_25_12 = e11
% 241.23/47.39    (41)  all_25_6 = e13
% 241.23/47.39    (42)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.23/47.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.23/47.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.23/47.39    (43)  all_25_0 = e10
% 241.23/47.39    (44)  all_25_7 = e14
% 241.23/47.39    (45)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.23/47.39    (46)  op1(e11, e11) = all_14_18
% 241.23/47.39    (47)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.23/47.39            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.23/47.39            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.23/47.39    (48)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.23/47.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.23/47.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.23/47.39    (49)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.23/47.39            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.23/47.39            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.23/47.39    (50)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 241.23/47.39            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 241.23/47.39            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.23/47.39    (51)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 241.23/47.39            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 241.23/47.39            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.23/47.39    (52)  op1(e13, e14) = e12
% 241.23/47.39    (53)   ~ (e14 = e12)
% 241.23/47.39    (54)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.23/47.39            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 241.23/47.39            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.23/47.39    (55)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 241.23/47.39            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 241.23/47.39            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.23/47.39    (56)  all_25_17 = e13
% 241.23/47.39  
% 241.23/47.39  Begin of proof
% 241.23/47.39  | 
% 241.23/47.39  | BETA: splitting (1) gives:
% 241.23/47.39  | 
% 241.23/47.39  | Case 1:
% 241.23/47.39  | | 
% 241.23/47.39  | |   (57)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 241.23/47.39  | |           op1(e10, e13) = e11)
% 241.23/47.39  | | 
% 241.23/47.39  | | BETA: splitting (57) gives:
% 241.23/47.39  | | 
% 241.23/47.39  | | Case 1:
% 241.23/47.39  | | | 
% 241.23/47.39  | | |   (58)  all_25_20 = e11 & op1(e10, e14) = e11
% 241.23/47.39  | | | 
% 241.23/47.39  | | | ALPHA: (58) implies:
% 241.23/47.39  | | |   (59)  all_25_20 = e11
% 241.23/47.39  | | | 
% 241.23/47.39  | | | REF_CLOSE: (11), (17), (59) are inconsistent by sub-proof #1001.
% 241.23/47.39  | | | 
% 241.23/47.39  | | Case 2:
% 241.23/47.39  | | | 
% 241.23/47.39  | | |   (60)  all_25_21 = e11 & op1(e10, e13) = e11
% 241.23/47.39  | | | 
% 241.23/47.39  | | | REF_CLOSE: (27), (30), (60) are inconsistent by sub-proof #451.
% 241.23/47.39  | | | 
% 241.23/47.39  | | End of split
% 241.23/47.39  | | 
% 241.23/47.39  | Case 2:
% 241.23/47.39  | | 
% 241.23/47.39  | |   (61)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 241.23/47.39  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.23/47.39  | | 
% 241.23/47.39  | | BETA: splitting (61) gives:
% 241.23/47.39  | | 
% 241.23/47.39  | | Case 1:
% 241.23/47.39  | | | 
% 241.23/47.39  | | |   (62)  all_25_22 = e11 & op1(e10, e12) = e11
% 241.23/47.39  | | | 
% 241.23/47.39  | | | ALPHA: (62) implies:
% 241.23/47.39  | | |   (63)  all_25_22 = e11
% 241.23/47.40  | | | 
% 241.23/47.40  | | | BETA: splitting (50) gives:
% 241.23/47.40  | | | 
% 241.23/47.40  | | | Case 1:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (64)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 &
% 241.23/47.40  | | | |           op1(e13, e12) = e14)
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | BETA: splitting (64) gives:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | Case 1:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | |   (65)  all_25_4 = e14 & op1(e14, e12) = e14
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | ALPHA: (65) implies:
% 241.23/47.40  | | | | |   (66)  all_25_4 = e14
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | BETA: splitting (20) gives:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | Case 1:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | |   (67)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 241.23/47.40  | | | | | |           op1(e14, e13) = e11)
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | BETA: splitting (67) gives:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | Case 1:
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | |   (68)  all_25_0 = e11 & op1(e14, e14) = e11
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | ALPHA: (68) implies:
% 241.23/47.40  | | | | | | |   (69)  all_25_0 = e11
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | COMBINE_EQS: (43), (69) imply:
% 241.23/47.40  | | | | | | |   (70)  e11 = e10
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (12), (13), (15), (16), (17),
% 241.23/47.40  | | | | | | |            (18), (19), (21), (22), (26), (27), (28), (29), (30),
% 241.23/47.40  | | | | | | |            (31), (32), (33), (35), (36), (38), (40), (42), (44),
% 241.23/47.40  | | | | | | |            (46), (47), (48), (49), (53), (56), (70) are
% 241.23/47.40  | | | | | | |            inconsistent by sub-proof #125.
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | Case 2:
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | |   (71)  all_25_1 = e11 & op1(e14, e13) = e11
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | REF_CLOSE: (8), (16), (71) are inconsistent by sub-proof #1240.
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | End of split
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | Case 2:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | |   (72)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.23/47.40  | | | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 241.23/47.40  | | | | | |           e11)
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | BETA: splitting (72) gives:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | Case 1:
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | |   (73)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | REF_CLOSE: (17), (66), (73) are inconsistent by sub-proof #921.
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | Case 2:
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | |   (74)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 241.23/47.40  | | | | | | |           & op1(e14, e10) = e11)
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | BETA: splitting (74) gives:
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | | Case 1:
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | |   (75)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | | REF_CLOSE: (30), (34), (75) are inconsistent by sub-proof #967.
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | Case 2:
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | |   (76)  all_25_16 = e11 & op1(e14, e10) = e11
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | | REF_CLOSE: (9), (17), (21), (22), (24), (25), (28), (31), (35),
% 241.23/47.40  | | | | | | | |            (45), (52), (76) are inconsistent by sub-proof #124.
% 241.23/47.40  | | | | | | | | 
% 241.23/47.40  | | | | | | | End of split
% 241.23/47.40  | | | | | | | 
% 241.23/47.40  | | | | | | End of split
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | End of split
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | Case 2:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | |   (77)  all_25_5 = e14 & op1(e13, e12) = e14
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | ALPHA: (77) implies:
% 241.23/47.40  | | | | |   (78)  op1(e13, e12) = e14
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | REF_CLOSE: (3), (28), (31), (78) are inconsistent by sub-proof #1286.
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | End of split
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | Case 2:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (79)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 241.23/47.40  | | | |           op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | BETA: splitting (79) gives:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | Case 1:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | |   (80)  all_25_8 = e14 & op1(e12, e12) = e14
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (13), (14), (16),
% 241.23/47.40  | | | | |            (17), (18), (19), (21), (22), (25), (28), (29), (30), (31),
% 241.23/47.40  | | | | |            (33), (34), (35), (36), (38), (39), (41), (42), (44), (48),
% 241.23/47.40  | | | | |            (49), (51), (53), (54), (55), (56), (80) are inconsistent
% 241.23/47.40  | | | | |            by sub-proof #129.
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | Case 2:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | |   (81)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 &
% 241.23/47.40  | | | | |           op1(e10, e12) = e14)
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | BETA: splitting (81) gives:
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | | Case 1:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | |   (82)  all_25_14 = e14 & op1(e11, e12) = e14
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | REF_CLOSE: (15), (22), (82) are inconsistent by sub-proof #461.
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | Case 2:
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | |   (83)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | ALPHA: (83) implies:
% 241.23/47.40  | | | | | |   (84)  all_25_22 = e14
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | | REF_CLOSE: (17), (63), (84) are inconsistent by sub-proof #123.
% 241.23/47.40  | | | | | | 
% 241.23/47.40  | | | | | End of split
% 241.23/47.40  | | | | | 
% 241.23/47.40  | | | | End of split
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | End of split
% 241.23/47.40  | | | 
% 241.23/47.40  | | Case 2:
% 241.23/47.40  | | | 
% 241.23/47.40  | | |   (85)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 241.23/47.40  | | |           op1(e10, e10) = e11)
% 241.23/47.40  | | | 
% 241.23/47.40  | | | BETA: splitting (85) gives:
% 241.23/47.40  | | | 
% 241.23/47.40  | | | Case 1:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (86)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | ALPHA: (86) implies:
% 241.23/47.40  | | | |   (87)  all_25_23 = e11
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | COMBINE_EQS: (37), (87) imply:
% 241.23/47.40  | | | |   (88)  e11 = e10
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REF_CLOSE: (3), (4), (5), (7), (8), (12), (13), (15), (16), (17), (18),
% 241.23/47.40  | | | |            (19), (21), (22), (26), (27), (28), (29), (30), (31), (32),
% 241.23/47.40  | | | |            (33), (35), (36), (38), (40), (42), (44), (46), (47), (48),
% 241.23/47.40  | | | |            (49), (53), (56), (88) are inconsistent by sub-proof #125.
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | Case 2:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (89)  all_25_24 = e11 & op1(e10, e10) = e11
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REF_CLOSE: (16), (23), (89) are inconsistent by sub-proof #134.
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | End of split
% 241.23/47.40  | | | 
% 241.23/47.40  | | End of split
% 241.23/47.40  | | 
% 241.23/47.40  | End of split
% 241.23/47.40  | 
% 241.23/47.40  End of proof
% 241.23/47.40  
% 241.23/47.40  Sub-proof #123 shows that the following formulas are inconsistent:
% 241.23/47.40  ----------------------------------------------------------------
% 241.23/47.40    (1)  all_25_22 = e14
% 241.23/47.40    (2)  all_25_22 = e11
% 241.23/47.40    (3)   ~ (e14 = e11)
% 241.23/47.40  
% 241.23/47.40  Begin of proof
% 241.23/47.40  | 
% 241.23/47.40  | COMBINE_EQS: (1), (2) imply:
% 241.23/47.40  |   (4)  e14 = e11
% 241.23/47.40  | 
% 241.23/47.40  | SIMP: (4) implies:
% 241.23/47.40  |   (5)  e14 = e11
% 241.23/47.40  | 
% 241.23/47.40  | REDUCE: (3), (5) imply:
% 241.23/47.40  |   (6)  $false
% 241.23/47.40  | 
% 241.23/47.40  | CLOSE: (6) is inconsistent.
% 241.23/47.40  | 
% 241.23/47.40  End of proof
% 241.23/47.40  
% 241.23/47.40  Sub-proof #124 shows that the following formulas are inconsistent:
% 241.23/47.40  ----------------------------------------------------------------
% 241.23/47.40    (1)  all_25_16 = e11 & op1(e14, e10) = e11
% 241.23/47.40    (2)  op1(e14, unit1) = e14
% 241.23/47.40    (3)   ~ (e14 = e11)
% 241.23/47.40    (4)   ~ (e13 = e10)
% 241.23/47.40    (5)   ~ (e14 = e13)
% 241.23/47.40    (6)  op1(e13, unit1) = e13
% 241.23/47.40    (7)  op1(e13, e11) = e14
% 241.23/47.40    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.40           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.40    (9)  op1(e13, e12) = e10
% 241.23/47.40    (10)   ~ (e13 = e12)
% 241.23/47.40    (11)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.23/47.40    (12)  op1(e13, e14) = e12
% 241.23/47.40  
% 241.23/47.40  Begin of proof
% 241.23/47.40  | 
% 241.23/47.40  | ALPHA: (1) implies:
% 241.23/47.40  |   (13)  op1(e14, e10) = e11
% 241.23/47.40  | 
% 241.23/47.40  | BETA: splitting (11) gives:
% 241.23/47.40  | 
% 241.23/47.40  | Case 1:
% 241.23/47.40  | | 
% 241.23/47.40  | |   (14)  unit1 = e14
% 241.23/47.40  | | 
% 241.23/47.40  | | REDUCE: (6), (14) imply:
% 241.23/47.40  | |   (15)  op1(e13, e14) = e13
% 241.23/47.40  | | 
% 241.23/47.40  | | REF_CLOSE: (8), (10), (12), (15) are inconsistent by sub-proof #1227.
% 241.23/47.40  | | 
% 241.23/47.40  | Case 2:
% 241.23/47.40  | | 
% 241.23/47.40  | |   (16)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.23/47.40  | | 
% 241.23/47.40  | | BETA: splitting (16) gives:
% 241.23/47.40  | | 
% 241.23/47.40  | | Case 1:
% 241.23/47.40  | | | 
% 241.23/47.40  | | |   (17)  unit1 = e12
% 241.23/47.40  | | | 
% 241.23/47.40  | | | REDUCE: (6), (17) imply:
% 241.23/47.40  | | |   (18)  op1(e13, e12) = e13
% 241.23/47.40  | | | 
% 241.23/47.40  | | | REF_CLOSE: (4), (8), (9), (18) are inconsistent by sub-proof #1334.
% 241.23/47.40  | | | 
% 241.23/47.40  | | Case 2:
% 241.23/47.40  | | | 
% 241.23/47.40  | | |   (19)  unit1 = e11 | unit1 = e10
% 241.23/47.40  | | | 
% 241.23/47.40  | | | BETA: splitting (19) gives:
% 241.23/47.40  | | | 
% 241.23/47.40  | | | Case 1:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (20)  unit1 = e11
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REDUCE: (6), (20) imply:
% 241.23/47.40  | | | |   (21)  op1(e13, e11) = e13
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REF_CLOSE: (5), (7), (8), (21) are inconsistent by sub-proof #1333.
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | Case 2:
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | |   (22)  unit1 = e10
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REDUCE: (2), (22) imply:
% 241.23/47.40  | | | |   (23)  op1(e14, e10) = e14
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | | REF_CLOSE: (3), (8), (13), (23) are inconsistent by sub-proof #917.
% 241.23/47.40  | | | | 
% 241.23/47.40  | | | End of split
% 241.23/47.40  | | | 
% 241.23/47.40  | | End of split
% 241.23/47.40  | | 
% 241.23/47.40  | End of split
% 241.23/47.40  | 
% 241.23/47.40  End of proof
% 241.23/47.40  
% 241.23/47.40  Sub-proof #125 shows that the following formulas are inconsistent:
% 241.23/47.40  ----------------------------------------------------------------
% 241.23/47.40    (1)   ~ (e14 = e10)
% 241.23/47.40    (2)  all_25_2 = e12
% 241.23/47.40    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.23/47.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.23/47.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.23/47.40    (4)  all_25_15 = e12
% 241.23/47.40    (5)  all_25_1 = e12
% 241.23/47.40    (6)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 241.23/47.40             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 241.23/47.40           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 241.23/47.40    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.23/47.40           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.23/47.40           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.23/47.40    (8)  all_25_14 = e13
% 241.23/47.40    (9)   ~ (e12 = e11)
% 241.23/47.40    (10)   ~ (e14 = e11)
% 241.23/47.40    (11)  all_25_3 = e11
% 241.23/47.40    (12)  op1(e10, e13) = e13
% 241.23/47.40    (13)   ~ (e13 = e10)
% 241.23/47.40    (14)   ~ (e14 = e13)
% 241.23/47.40    (15)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 241.23/47.40              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 241.23/47.40            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.23/47.40    (16)  all_25_21 = e13
% 241.23/47.40    (17)  e11 = e10
% 241.23/47.40    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.23/47.40            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.23/47.40    (19)  all_25_13 = e10
% 241.23/47.40    (20)   ~ (e13 = e11)
% 241.23/47.40    (21)  op1(e13, e12) = e10
% 241.23/47.40    (22)   ~ (all_14_18 = e14)
% 241.23/47.40    (23)   ~ (e11 = e10)
% 241.23/47.40    (24)   ~ (e13 = e12)
% 241.23/47.40    (25)  op1(e13, e13) = e11
% 241.23/47.40    (26)   ~ (e12 = e10)
% 241.23/47.40    (27)  all_25_12 = e11
% 241.23/47.40    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.23/47.40            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.23/47.40            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.23/47.40    (29)  all_25_7 = e14
% 241.23/47.40    (30)  op1(e11, e11) = all_14_18
% 241.23/47.40    (31)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.23/47.40            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.23/47.40            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.23/47.40    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.23/47.40            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.23/47.40            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.23/47.40    (33)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.23/47.40            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.23/47.40            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.23/47.40    (34)   ~ (e14 = e12)
% 241.23/47.40    (35)  all_25_17 = e13
% 241.23/47.40  
% 241.23/47.40  Begin of proof
% 241.23/47.40  | 
% 241.23/47.40  | SIMP: (17) implies:
% 241.23/47.40  |   (36)  e11 = e10
% 241.23/47.40  | 
% 241.23/47.40  | COMBINE_EQS: (27), (36) imply:
% 241.23/47.40  |   (37)  all_25_12 = e10
% 241.23/47.40  | 
% 241.23/47.40  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.23/47.40  |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 241.23/47.40  |            (25), (26), (28), (29), (30), (31), (32), (33), (34), (35), (37)
% 241.23/47.40  |            are inconsistent by sub-proof #126.
% 241.23/47.40  | 
% 241.23/47.40  End of proof
% 241.23/47.40  
% 241.23/47.40  Sub-proof #126 shows that the following formulas are inconsistent:
% 241.23/47.40  ----------------------------------------------------------------
% 241.23/47.40    (1)   ~ (e14 = e10)
% 241.23/47.40    (2)  all_25_2 = e12
% 241.31/47.40    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.31/47.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.31/47.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.31/47.40    (4)  all_25_15 = e12
% 241.31/47.40    (5)  all_25_1 = e12
% 241.31/47.40    (6)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 241.31/47.40             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 241.31/47.40           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 241.31/47.40    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.31/47.40           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.31/47.40           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.31/47.40    (8)  all_25_14 = e13
% 241.31/47.40    (9)   ~ (e12 = e11)
% 241.31/47.40    (10)   ~ (e14 = e11)
% 241.31/47.40    (11)  all_25_3 = e11
% 241.31/47.40    (12)  op1(e10, e13) = e13
% 241.31/47.40    (13)   ~ (e13 = e10)
% 241.31/47.40    (14)   ~ (e14 = e13)
% 241.31/47.40    (15)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 241.31/47.40              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 241.31/47.40            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.31/47.40    (16)  all_25_21 = e13
% 241.31/47.40    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.31/47.40            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.31/47.40    (18)  all_25_13 = e10
% 241.31/47.40    (19)   ~ (e13 = e11)
% 241.31/47.40    (20)  op1(e13, e12) = e10
% 241.31/47.40    (21)  all_25_12 = e10
% 241.31/47.40    (22)   ~ (all_14_18 = e14)
% 241.31/47.40    (23)   ~ (e11 = e10)
% 241.31/47.40    (24)   ~ (e13 = e12)
% 241.31/47.40    (25)  op1(e13, e13) = e11
% 241.31/47.40    (26)   ~ (e12 = e10)
% 241.31/47.40    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.31/47.40            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.31/47.40            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.31/47.40    (28)  all_25_7 = e14
% 241.31/47.40    (29)  op1(e11, e11) = all_14_18
% 241.31/47.41    (30)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.31/47.41            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.31/47.41            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.31/47.41    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.31/47.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.31/47.41    (32)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.41            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.31/47.41            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.31/47.41    (33)   ~ (e14 = e12)
% 241.31/47.41    (34)  all_25_17 = e13
% 241.31/47.41  
% 241.31/47.41  Begin of proof
% 241.31/47.41  | 
% 241.31/47.41  | BETA: splitting (15) gives:
% 241.31/47.41  | 
% 241.31/47.41  | Case 1:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (35)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 241.31/47.41  | |           op1(e11, e13) = e11)
% 241.31/47.41  | | 
% 241.31/47.41  | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (11), (12), (13), (14), (16),
% 241.31/47.41  | |            (17), (19), (20), (21), (23), (24), (25), (26), (27), (30), (31),
% 241.31/47.41  | |            (32), (33), (34), (35) are inconsistent by sub-proof #413.
% 241.31/47.41  | | 
% 241.31/47.41  | Case 2:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (36)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 241.31/47.41  | |           op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.31/47.41  | | 
% 241.31/47.41  | | BETA: splitting (36) gives:
% 241.31/47.41  | | 
% 241.31/47.41  | | Case 1:
% 241.31/47.41  | | | 
% 241.31/47.41  | | |   (37)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.31/47.41  | | | 
% 241.31/47.41  | | | REF_CLOSE: (8), (19), (37) are inconsistent by sub-proof #477.
% 241.31/47.41  | | | 
% 241.31/47.41  | | Case 2:
% 241.31/47.41  | | | 
% 241.31/47.41  | | |   (38)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 241.31/47.41  | | |           op1(e11, e10) = e11)
% 241.31/47.41  | | | 
% 241.31/47.41  | | | BETA: splitting (38) gives:
% 241.31/47.41  | | | 
% 241.31/47.41  | | | Case 1:
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | |   (39)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | | REF_CLOSE: (4), (9), (39) are inconsistent by sub-proof #418.
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | Case 2:
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | |   (40)  all_25_19 = e11 & op1(e11, e10) = e11
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | | ALPHA: (40) implies:
% 241.31/47.41  | | | |   (41)  all_25_19 = e11
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | | BETA: splitting (6) gives:
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | | Case 1:
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | |   (42)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 241.31/47.41  | | | | |           op1(e11, e13) = e14)
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | | REF_CLOSE: (1), (18), (21), (42) are inconsistent by sub-proof #1099.
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | Case 2:
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | |   (43)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 241.31/47.41  | | | | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) =
% 241.31/47.41  | | | | |           e14)
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | | BETA: splitting (43) gives:
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | | Case 1:
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | |   (44)  all_25_14 = e14 & op1(e11, e12) = e14
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | | REF_CLOSE: (1), (5), (8), (10), (11), (12), (14), (17), (18), (28),
% 241.31/47.41  | | | | | |            (32), (33), (44) are inconsistent by sub-proof #469.
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | Case 2:
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | |   (45)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 241.31/47.41  | | | | | |           op1(e11, e10) = e14)
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | | BETA: splitting (45) gives:
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | | Case 1:
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | |   (46)  all_25_15 = e14 & op1(e11, e11) = e14
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | ALPHA: (46) implies:
% 241.31/47.41  | | | | | | |   (47)  op1(e11, e11) = e14
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | REF_CLOSE: (17), (22), (29), (47) are inconsistent by sub-proof
% 241.31/47.41  | | | | | | |            #1098.
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | Case 2:
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | |   (48)  all_25_19 = e14 & op1(e11, e10) = e14
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | ALPHA: (48) implies:
% 241.31/47.41  | | | | | | |   (49)  all_25_19 = e14
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | COMBINE_EQS: (41), (49) imply:
% 241.31/47.41  | | | | | | |   (50)  e14 = e11
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | COMBINE_EQS: (28), (50) imply:
% 241.31/47.41  | | | | | | |   (51)  all_25_7 = e11
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | | REF_CLOSE: (1), (5), (10), (11), (12), (14), (17), (18), (32),
% 241.31/47.41  | | | | | | |            (33), (51) are inconsistent by sub-proof #935.
% 241.31/47.41  | | | | | | | 
% 241.31/47.41  | | | | | | End of split
% 241.31/47.41  | | | | | | 
% 241.31/47.41  | | | | | End of split
% 241.31/47.41  | | | | | 
% 241.31/47.41  | | | | End of split
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | End of split
% 241.31/47.41  | | | 
% 241.31/47.41  | | End of split
% 241.31/47.41  | | 
% 241.31/47.41  | End of split
% 241.31/47.41  | 
% 241.31/47.41  End of proof
% 241.31/47.41  
% 241.31/47.41  Sub-proof #127 shows that the following formulas are inconsistent:
% 241.31/47.41  ----------------------------------------------------------------
% 241.31/47.41    (1)   ~ (all_14_10 = e10)
% 241.31/47.41    (2)   ~ (e14 = e10)
% 241.31/47.41    (3)  all_25_2 = e12
% 241.31/47.41    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.31/47.41           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.31/47.41           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.31/47.41    (5)  all_25_1 = e12
% 241.31/47.41    (6)  op1(e14, unit1) = e14
% 241.31/47.41    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.31/47.41           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.31/47.41           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.31/47.41    (8)   ~ (e12 = e11)
% 241.31/47.41    (9)   ~ (e14 = e11)
% 241.31/47.41    (10)  all_25_3 = e11
% 241.31/47.41    (11)   ~ (e13 = e10)
% 241.31/47.41    (12)   ~ (e14 = e13)
% 241.31/47.41    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.31/47.41            = e14)
% 241.31/47.41    (14)  op1(e13, unit1) = e13
% 241.31/47.41    (15)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.31/47.41            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.31/47.41            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.31/47.41    (16)  op1(e13, e11) = e14
% 241.31/47.41    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.31/47.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.31/47.41    (18)   ~ (e13 = e11)
% 241.31/47.41    (19)  op1(e13, e12) = e10
% 241.31/47.41    (20)   ~ (e11 = e10)
% 241.31/47.41    (21)  all_25_9 = e13
% 241.31/47.41    (22)   ~ (e13 = e12)
% 241.31/47.41    (23)  op1(e13, e13) = e11
% 241.31/47.41    (24)   ~ (e12 = e10)
% 241.31/47.41    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.31/47.41            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.31/47.41            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.31/47.41    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.31/47.41    (27)  op1(e14, e12) = all_14_10
% 241.31/47.41    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.31/47.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.31/47.41    (29)  op1(e13, e14) = e12
% 241.31/47.41    (30)   ~ (e14 = e12)
% 241.31/47.41    (31)  all_25_17 = e13
% 241.31/47.41  
% 241.31/47.41  Begin of proof
% 241.31/47.41  | 
% 241.31/47.41  | BETA: splitting (13) gives:
% 241.31/47.41  | 
% 241.31/47.41  | Case 1:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (32)  all_25_0 = e14 & op1(e14, e14) = e14
% 241.31/47.41  | | 
% 241.31/47.41  | | ALPHA: (32) implies:
% 241.31/47.41  | |   (33)  all_25_0 = e14
% 241.31/47.41  | | 
% 241.31/47.41  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.31/47.41  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 241.31/47.41  | |            (25), (26), (27), (28), (29), (30), (31), (33) are inconsistent
% 241.31/47.41  | |            by sub-proof #138.
% 241.31/47.41  | | 
% 241.31/47.41  | Case 2:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (34)  all_25_2 = e14 & op1(e13, e14) = e14
% 241.31/47.41  | | 
% 241.31/47.41  | | REF_CLOSE: (4), (8), (11), (12), (16), (17), (18), (19), (22), (23), (24),
% 241.31/47.41  | |            (25), (30), (34) are inconsistent by sub-proof #1185.
% 241.31/47.41  | | 
% 241.31/47.41  | End of split
% 241.31/47.41  | 
% 241.31/47.41  End of proof
% 241.31/47.41  
% 241.31/47.41  Sub-proof #128 shows that the following formulas are inconsistent:
% 241.31/47.41  ----------------------------------------------------------------
% 241.31/47.41    (1)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.31/47.41    (2)  all_25_22 = e10
% 241.31/47.41    (3)   ~ (e14 = e10)
% 241.31/47.41  
% 241.31/47.41  Begin of proof
% 241.31/47.41  | 
% 241.31/47.41  | ALPHA: (1) implies:
% 241.31/47.41  |   (4)  all_25_22 = e14
% 241.31/47.41  | 
% 241.31/47.41  | COMBINE_EQS: (2), (4) imply:
% 241.31/47.41  |   (5)  e14 = e10
% 241.31/47.41  | 
% 241.31/47.41  | SIMP: (5) implies:
% 241.31/47.41  |   (6)  e14 = e10
% 241.31/47.41  | 
% 241.31/47.41  | REDUCE: (3), (6) imply:
% 241.31/47.41  |   (7)  $false
% 241.31/47.41  | 
% 241.31/47.41  | CLOSE: (7) is inconsistent.
% 241.31/47.41  | 
% 241.31/47.41  End of proof
% 241.31/47.41  
% 241.31/47.41  Sub-proof #129 shows that the following formulas are inconsistent:
% 241.31/47.41  ----------------------------------------------------------------
% 241.31/47.41    (1)  op1(e12, e13) = all_14_7
% 241.31/47.41    (2)   ~ (e14 = e10)
% 241.31/47.41    (3)  all_25_2 = e12
% 241.31/47.41    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.31/47.41           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.31/47.41           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.31/47.41    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 241.31/47.41           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 241.31/47.41           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.31/47.41    (6)  all_25_15 = e12
% 241.31/47.41    (7)  all_25_8 = e14 & op1(e12, e12) = e14
% 241.31/47.41    (8)  all_25_1 = e12
% 241.31/47.41    (9)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 241.31/47.41           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.31/47.41           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.31/47.41    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.31/47.41            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.31/47.41            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.31/47.41    (11)   ~ (all_14_7 = e12)
% 241.31/47.41    (12)   ~ (e12 = e11)
% 241.31/47.41    (13)   ~ (e14 = e11)
% 241.31/47.41    (14)  all_25_3 = e11
% 241.31/47.41    (15)  op1(e10, e13) = e13
% 241.31/47.41    (16)   ~ (e13 = e10)
% 241.31/47.41    (17)   ~ (e14 = e13)
% 241.31/47.41    (18)  op1(e13, e11) = e14
% 241.31/47.41    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.31/47.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.31/47.41    (20)  all_25_13 = e10
% 241.31/47.41    (21)   ~ (e13 = e11)
% 241.31/47.41    (22)  op1(e13, e12) = e10
% 241.31/47.41    (23)   ~ (e11 = e10)
% 241.31/47.41    (24)  all_25_9 = e13
% 241.31/47.41    (25)   ~ (e13 = e12)
% 241.31/47.41    (26)  op1(e13, e13) = e11
% 241.31/47.41    (27)   ~ (e12 = e10)
% 241.31/47.41    (28)  all_25_10 = e14
% 241.31/47.41    (29)  all_25_6 = e13
% 241.31/47.41    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.31/47.41            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.31/47.41            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.31/47.41    (31)  all_25_7 = e14
% 241.31/47.41    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.31/47.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.31/47.41    (33)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.41            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.31/47.41            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.31/47.41    (34)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 241.31/47.41            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 241.31/47.41            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.31/47.41    (35)   ~ (e14 = e12)
% 241.31/47.41    (36)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 241.31/47.41            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 241.31/47.41            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.31/47.41    (37)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 241.31/47.41            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 241.31/47.41            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.31/47.41    (38)  all_25_17 = e13
% 241.31/47.41  
% 241.31/47.41  Begin of proof
% 241.31/47.41  | 
% 241.31/47.41  | ALPHA: (7) implies:
% 241.31/47.41  |   (39)  all_25_8 = e14
% 241.31/47.41  | 
% 241.31/47.41  | BETA: splitting (36) gives:
% 241.31/47.41  | 
% 241.31/47.41  | Case 1:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (40)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 241.31/47.41  | |             e13) = e12)
% 241.31/47.41  | | 
% 241.31/47.41  | | REF_CLOSE: (1), (11), (19), (25), (29), (40) are inconsistent by sub-proof
% 241.31/47.41  | |            #463.
% 241.31/47.41  | | 
% 241.31/47.41  | Case 2:
% 241.31/47.41  | | 
% 241.31/47.41  | |   (41)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 & op1(e12,
% 241.31/47.41  | |             e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 241.31/47.41  | | 
% 241.31/47.41  | | BETA: splitting (41) gives:
% 241.31/47.41  | | 
% 241.31/47.41  | | Case 1:
% 241.31/47.41  | | | 
% 241.31/47.41  | | |   (42)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.31/47.41  | | | 
% 241.31/47.41  | | | ALPHA: (42) implies:
% 241.31/47.41  | | |   (43)  all_25_8 = e12
% 241.31/47.41  | | | 
% 241.31/47.41  | | | REF_CLOSE: (35), (39), (43) are inconsistent by sub-proof #462.
% 241.31/47.41  | | | 
% 241.31/47.41  | | Case 2:
% 241.31/47.41  | | | 
% 241.31/47.41  | | |   (44)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 &
% 241.31/47.41  | | |           op1(e12, e10) = e12)
% 241.31/47.41  | | | 
% 241.31/47.41  | | | BETA: splitting (44) gives:
% 241.31/47.41  | | | 
% 241.31/47.41  | | | Case 1:
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | |   (45)  all_25_11 = e12 & op1(e12, e11) = e12
% 241.31/47.41  | | | | 
% 241.31/47.41  | | | | ALPHA: (45) implies:
% 241.31/47.41  | | | |   (46)  all_25_11 = e12
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (14),
% 241.31/47.42  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 241.31/47.42  | | | |            (25), (26), (27), (28), (30), (31), (32), (33), (35), (38),
% 241.31/47.42  | | | |            (46) are inconsistent by sub-proof #130.
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | Case 2:
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | |   (47)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | ALPHA: (47) implies:
% 241.31/47.42  | | | |   (48)  all_25_18 = e12
% 241.31/47.42  | | | |   (49)  op1(e12, e10) = e12
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | BETA: splitting (34) gives:
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | Case 1:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | |   (50)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 &
% 241.31/47.42  | | | | |           op1(e12, e13) = e10)
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | BETA: splitting (50) gives:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | Case 1:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (51)  all_25_6 = e10 & op1(e12, e14) = e10
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (2), (3), (4), (13), (14), (16), (17), (19), (21), (22),
% 241.31/47.42  | | | | | |            (25), (26), (29), (32), (35), (38), (51) are inconsistent
% 241.31/47.42  | | | | | |            by sub-proof #1180.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | Case 2:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (52)  all_25_7 = e10 & op1(e12, e13) = e10
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (2), (31), (52) are inconsistent by sub-proof #982.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | End of split
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | Case 2:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | |   (53)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 241.31/47.42  | | | | |           op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) =
% 241.31/47.42  | | | | |           e10)
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | BETA: splitting (53) gives:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | Case 1:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (54)  all_25_8 = e10 & op1(e12, e12) = e10
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | ALPHA: (54) implies:
% 241.31/47.42  | | | | | |   (55)  all_25_8 = e10
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | COMBINE_EQS: (39), (55) imply:
% 241.31/47.42  | | | | | |   (56)  e14 = e10
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REDUCE: (2), (56) imply:
% 241.31/47.42  | | | | | |   (57)  $false
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | CLOSE: (57) is inconsistent.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | Case 2:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (58)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 241.31/47.42  | | | | | |           op1(e12, e10) = e10)
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | BETA: splitting (58) gives:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | Case 1:
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | |   (59)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | | ALPHA: (59) implies:
% 241.31/47.42  | | | | | | |   (60)  all_25_11 = e10
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | | REF_CLOSE: (2), (8), (12), (13), (14), (15), (17), (19), (20),
% 241.31/47.42  | | | | | | |            (21), (23), (29), (31), (33), (35), (37), (39), (49),
% 241.31/47.42  | | | | | | |            (60) are inconsistent by sub-proof #458.
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | Case 2:
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | |   (61)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | | ALPHA: (61) implies:
% 241.31/47.42  | | | | | | |   (62)  all_25_18 = e10
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | | REF_CLOSE: (2), (3), (4), (10), (12), (13), (16), (17), (19),
% 241.31/47.42  | | | | | | |            (21), (22), (23), (25), (26), (27), (30), (32), (35),
% 241.31/47.42  | | | | | | |            (48), (62) are inconsistent by sub-proof #977.
% 241.31/47.42  | | | | | | | 
% 241.31/47.42  | | | | | | End of split
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | End of split
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | End of split
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | End of split
% 241.31/47.42  | | | 
% 241.31/47.42  | | End of split
% 241.31/47.42  | | 
% 241.31/47.42  | End of split
% 241.31/47.42  | 
% 241.31/47.42  End of proof
% 241.31/47.42  
% 241.31/47.42  Sub-proof #130 shows that the following formulas are inconsistent:
% 241.31/47.42  ----------------------------------------------------------------
% 241.31/47.42    (1)   ~ (e14 = e10)
% 241.31/47.42    (2)  all_25_2 = e12
% 241.31/47.42    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.31/47.42           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.31/47.42           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.31/47.42    (4)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 241.31/47.42           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 241.31/47.42           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 241.31/47.42    (5)  all_25_15 = e12
% 241.31/47.42    (6)  all_25_1 = e12
% 241.31/47.42    (7)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 241.31/47.42           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.31/47.42           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.31/47.42    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.31/47.42           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.31/47.42           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.31/47.42    (9)   ~ (e12 = e11)
% 241.31/47.42    (10)   ~ (e14 = e11)
% 241.31/47.42    (11)  all_25_3 = e11
% 241.31/47.42    (12)  op1(e10, e13) = e13
% 241.31/47.42    (13)   ~ (e13 = e10)
% 241.31/47.42    (14)   ~ (e14 = e13)
% 241.31/47.42    (15)  all_25_11 = e12
% 241.31/47.42    (16)  op1(e13, e11) = e14
% 241.31/47.42    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.31/47.42            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.31/47.42    (18)  all_25_13 = e10
% 241.31/47.42    (19)   ~ (e13 = e11)
% 241.31/47.42    (20)  op1(e13, e12) = e10
% 241.31/47.42    (21)   ~ (e11 = e10)
% 241.31/47.42    (22)  all_25_9 = e13
% 241.31/47.42    (23)   ~ (e13 = e12)
% 241.31/47.42    (24)  op1(e13, e13) = e11
% 241.31/47.42    (25)   ~ (e12 = e10)
% 241.31/47.42    (26)  all_25_10 = e14
% 241.31/47.42    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.31/47.42            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.31/47.42            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.31/47.42    (28)  all_25_7 = e14
% 241.31/47.42    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.42            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.31/47.42            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.31/47.42    (30)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.42            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.31/47.42            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.31/47.42    (31)   ~ (e14 = e12)
% 241.31/47.42    (32)  all_25_17 = e13
% 241.31/47.42  
% 241.31/47.42  Begin of proof
% 241.31/47.42  | 
% 241.31/47.42  | BETA: splitting (7) gives:
% 241.31/47.42  | 
% 241.31/47.42  | Case 1:
% 241.31/47.42  | | 
% 241.31/47.42  | |   (33)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 241.31/47.42  | |             e11) = e10)
% 241.31/47.42  | | 
% 241.31/47.42  | | BETA: splitting (33) gives:
% 241.31/47.42  | | 
% 241.31/47.42  | | Case 1:
% 241.31/47.42  | | | 
% 241.31/47.42  | | |   (34)  all_25_9 = e10 & op1(e14, e11) = e10
% 241.31/47.42  | | | 
% 241.31/47.42  | | | REF_CLOSE: (1), (2), (3), (10), (11), (13), (14), (17), (19), (20), (22),
% 241.31/47.42  | | |            (23), (24), (29), (31), (32), (34) are inconsistent by
% 241.31/47.42  | | |            sub-proof #972.
% 241.31/47.42  | | | 
% 241.31/47.42  | | Case 2:
% 241.31/47.42  | | | 
% 241.31/47.42  | | |   (35)  all_25_10 = e10 & op1(e13, e11) = e10
% 241.31/47.42  | | | 
% 241.31/47.42  | | | REF_CLOSE: (1), (3), (9), (13), (14), (16), (17), (19), (20), (21), (23),
% 241.31/47.42  | | |            (24), (25), (27), (29), (31), (35) are inconsistent by
% 241.31/47.42  | | |            sub-proof #1092.
% 241.31/47.42  | | | 
% 241.31/47.42  | | End of split
% 241.31/47.42  | | 
% 241.31/47.42  | Case 2:
% 241.31/47.42  | | 
% 241.31/47.42  | |   (36)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.31/47.42  | |           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.31/47.42  | | 
% 241.31/47.42  | | BETA: splitting (36) gives:
% 241.31/47.42  | | 
% 241.31/47.42  | | Case 1:
% 241.31/47.42  | | | 
% 241.31/47.42  | | |   (37)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.31/47.42  | | | 
% 241.31/47.42  | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (13), (14), (15), (17), (19),
% 241.31/47.42  | | |            (20), (21), (23), (24), (25), (27), (29), (31), (37) are
% 241.31/47.42  | | |            inconsistent by sub-proof #1145.
% 241.31/47.42  | | | 
% 241.31/47.42  | | Case 2:
% 241.31/47.42  | | | 
% 241.31/47.42  | | |   (38)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 &
% 241.31/47.42  | | |           op1(e10, e11) = e10)
% 241.31/47.42  | | | 
% 241.31/47.42  | | | BETA: splitting (38) gives:
% 241.31/47.42  | | | 
% 241.31/47.42  | | | Case 1:
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | |   (39)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (13), (14), (17), (19),
% 241.31/47.42  | | | |            (20), (21), (23), (24), (25), (27), (29), (31), (39) are
% 241.31/47.42  | | | |            inconsistent by sub-proof #146.
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | Case 2:
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | |   (40)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | ALPHA: (40) implies:
% 241.31/47.42  | | | |   (41)  all_25_23 = e10
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | BETA: splitting (4) gives:
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | | Case 1:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | |   (42)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 &
% 241.31/47.42  | | | | |           op1(e13, e11) = e11)
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | BETA: splitting (42) gives:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | Case 1:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (43)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (19), (22), (43) are inconsistent by sub-proof #967.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | Case 2:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (44)  all_25_10 = e11 & op1(e13, e11) = e11
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (1), (6), (10), (11), (12), (14), (17), (18), (26), (28),
% 241.31/47.42  | | | | | |            (30), (31), (44) are inconsistent by sub-proof #474.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | End of split
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | Case 2:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | |   (45)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 241.31/47.42  | | | | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) =
% 241.31/47.42  | | | | |           e11)
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | BETA: splitting (45) gives:
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | | Case 1:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (46)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (9), (15), (46) are inconsistent by sub-proof #1149.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | Case 2:
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | |   (47)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 241.31/47.42  | | | | | |           op1(e10, e11) = e11)
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | | REF_CLOSE: (5), (9), (21), (41), (47) are inconsistent by sub-proof
% 241.31/47.42  | | | | | |            #131.
% 241.31/47.42  | | | | | | 
% 241.31/47.42  | | | | | End of split
% 241.31/47.42  | | | | | 
% 241.31/47.42  | | | | End of split
% 241.31/47.42  | | | | 
% 241.31/47.42  | | | End of split
% 241.31/47.42  | | | 
% 241.31/47.42  | | End of split
% 241.31/47.42  | | 
% 241.31/47.42  | End of split
% 241.31/47.42  | 
% 241.31/47.42  End of proof
% 241.31/47.42  
% 241.31/47.42  Sub-proof #131 shows that the following formulas are inconsistent:
% 241.31/47.42  ----------------------------------------------------------------
% 241.31/47.42    (1)  all_25_15 = e12
% 241.31/47.42    (2)   ~ (e12 = e11)
% 241.31/47.42    (3)   ~ (e11 = e10)
% 241.31/47.42    (4)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 241.31/47.42             e11) = e11)
% 241.31/47.42    (5)  all_25_23 = e10
% 241.31/47.42  
% 241.31/47.42  Begin of proof
% 241.31/47.42  | 
% 241.31/47.42  | BETA: splitting (4) gives:
% 241.31/47.42  | 
% 241.31/47.42  | Case 1:
% 241.31/47.42  | | 
% 241.31/47.42  | |   (6)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.31/47.42  | | 
% 241.31/47.42  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #418.
% 241.31/47.42  | | 
% 241.31/47.42  | Case 2:
% 241.31/47.42  | | 
% 241.31/47.42  | |   (7)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.31/47.42  | | 
% 241.31/47.42  | | ALPHA: (7) implies:
% 241.31/47.42  | |   (8)  all_25_23 = e11
% 241.31/47.42  | | 
% 241.31/47.42  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #151.
% 241.31/47.42  | | 
% 241.31/47.42  | End of split
% 241.31/47.42  | 
% 241.31/47.42  End of proof
% 241.31/47.42  
% 241.31/47.42  Sub-proof #132 shows that the following formulas are inconsistent:
% 241.31/47.42  ----------------------------------------------------------------
% 241.31/47.42    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 241.31/47.42             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 241.31/47.42           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.31/47.42    (2)   ~ (all_14_10 = e10)
% 241.31/47.42    (3)   ~ (e14 = e10)
% 241.31/47.42    (4)  all_25_2 = e12
% 241.31/47.42    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.31/47.42           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.31/47.42           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.31/47.42    (6)  all_25_15 = e12
% 241.31/47.42    (7)  all_25_1 = e12
% 241.31/47.42    (8)  op1(e14, unit1) = e14
% 241.31/47.42    (9)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 241.31/47.42           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.31/47.42           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.31/47.42    (10)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 241.31/47.42              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 241.31/47.42            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 241.31/47.42    (11)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.31/47.42            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.31/47.42            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.31/47.42    (12)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 241.31/47.42              e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 241.31/47.42            e10 & op1(e11, e10) = e10)
% 241.31/47.42    (13)  all_25_14 = e13
% 241.31/47.42    (14)   ~ (e12 = e11)
% 241.31/47.42    (15)   ~ (e14 = e11)
% 241.31/47.42    (16)  all_25_3 = e11
% 241.31/47.42    (17)  op1(e10, e13) = e13
% 241.31/47.42    (18)   ~ (e13 = e10)
% 241.31/47.42    (19)   ~ (e14 = e13)
% 241.31/47.42    (20)   ~ (all_14_15 = e12)
% 241.31/47.42    (21)  op1(e14, e11) = all_14_15
% 241.31/47.42    (22)  all_25_24 = e12
% 241.31/47.42    (23)  op1(e13, unit1) = e13
% 241.31/47.42    (24)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.31/47.42            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.31/47.42            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.31/47.42    (25)  op1(e13, e11) = e14
% 241.31/47.42    (26)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 241.31/47.42              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 241.31/47.42            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.31/47.42    (27)  all_25_21 = e13
% 241.31/47.42    (28)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.31/47.42            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.31/47.42    (29)  all_25_13 = e10
% 241.31/47.42    (30)   ~ (e13 = e11)
% 241.31/47.42    (31)  all_25_20 = e10
% 241.31/47.42    (32)  op1(e13, e12) = e10
% 241.31/47.42    (33)   ~ (e11 = e10)
% 241.31/47.42    (34)  all_25_9 = e13
% 241.31/47.42    (35)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.31/47.42            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 241.31/47.42            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.31/47.42    (36)   ~ (e13 = e12)
% 241.31/47.42    (37)  op1(e13, e13) = e11
% 241.31/47.42    (38)   ~ (e12 = e10)
% 241.31/47.42    (39)   ~ (all_14_19 = e14)
% 241.31/47.42    (40)  all_25_8 = e12
% 241.31/47.42    (41)  all_25_6 = e13
% 241.31/47.43    (42)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.31/47.43            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.31/47.43            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.31/47.43    (43)  all_25_7 = e14
% 241.31/47.43    (44)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 241.31/47.43              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 241.31/47.43            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 241.31/47.43    (45)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.31/47.43    (46)  op1(e14, e12) = all_14_10
% 241.31/47.43    (47)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.31/47.43            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.31/47.43            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.31/47.43    (48)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.43            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.31/47.43            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.31/47.43    (49)  op1(e10, e11) = all_14_19
% 241.31/47.43    (50)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.31/47.43            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.31/47.43            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.31/47.43    (51)  op1(e13, e14) = e12
% 241.31/47.43    (52)   ~ (e14 = e12)
% 241.31/47.43    (53)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 241.31/47.43            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 241.31/47.43            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 241.31/47.43    (54)  all_25_17 = e13
% 241.31/47.43  
% 241.31/47.43  Begin of proof
% 241.31/47.43  | 
% 241.31/47.43  | BETA: splitting (44) gives:
% 241.31/47.43  | 
% 241.31/47.43  | Case 1:
% 241.31/47.43  | | 
% 241.31/47.43  | |   (55)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 241.31/47.43  | |           op1(e10, e13) = e14)
% 241.31/47.43  | | 
% 241.31/47.43  | | BETA: splitting (55) gives:
% 241.31/47.43  | | 
% 241.31/47.43  | | Case 1:
% 241.31/47.43  | | | 
% 241.31/47.43  | | |   (56)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | ALPHA: (56) implies:
% 241.31/47.43  | | |   (57)  all_25_20 = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | COMBINE_EQS: (31), (57) imply:
% 241.31/47.43  | | |   (58)  e14 = e10
% 241.31/47.43  | | | 
% 241.31/47.43  | | | REDUCE: (3), (58) imply:
% 241.31/47.43  | | |   (59)  $false
% 241.31/47.43  | | | 
% 241.31/47.43  | | | CLOSE: (59) is inconsistent.
% 241.31/47.43  | | | 
% 241.31/47.43  | | Case 2:
% 241.31/47.43  | | | 
% 241.31/47.43  | | |   (60)  all_25_21 = e14 & op1(e10, e13) = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | ALPHA: (60) implies:
% 241.31/47.43  | | |   (61)  op1(e10, e13) = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | REF_CLOSE: (17), (19), (28), (61) are inconsistent by sub-proof #1274.
% 241.31/47.43  | | | 
% 241.31/47.43  | | End of split
% 241.31/47.43  | | 
% 241.31/47.43  | Case 2:
% 241.31/47.43  | | 
% 241.31/47.43  | |   (62)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 241.31/47.43  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 241.31/47.43  | | 
% 241.31/47.43  | | BETA: splitting (62) gives:
% 241.31/47.43  | | 
% 241.31/47.43  | | Case 1:
% 241.31/47.43  | | | 
% 241.31/47.43  | | |   (63)  all_25_22 = e14 & op1(e10, e12) = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | ALPHA: (63) implies:
% 241.31/47.43  | | |   (64)  all_25_22 = e14
% 241.31/47.43  | | | 
% 241.31/47.43  | | | BETA: splitting (1) gives:
% 241.31/47.43  | | | 
% 241.31/47.43  | | | Case 1:
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | |   (65)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 241.31/47.43  | | | |           op1(e10, e13) = e11)
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | | BETA: splitting (65) gives:
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | | Case 1:
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | |   (66)  all_25_20 = e11 & op1(e10, e14) = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | ALPHA: (66) implies:
% 241.31/47.43  | | | | |   (67)  all_25_20 = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | COMBINE_EQS: (31), (67) imply:
% 241.31/47.43  | | | | |   (68)  e11 = e10
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | REDUCE: (33), (68) imply:
% 241.31/47.43  | | | | |   (69)  $false
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | CLOSE: (69) is inconsistent.
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | Case 2:
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | |   (70)  all_25_21 = e11 & op1(e10, e13) = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | REF_CLOSE: (27), (30), (70) are inconsistent by sub-proof #451.
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | End of split
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | Case 2:
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | |   (71)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 241.31/47.43  | | | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | | BETA: splitting (71) gives:
% 241.31/47.43  | | | | 
% 241.31/47.43  | | | | Case 1:
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | |   (72)  all_25_22 = e11 & op1(e10, e12) = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | ALPHA: (72) implies:
% 241.31/47.43  | | | | |   (73)  all_25_22 = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | COMBINE_EQS: (64), (73) imply:
% 241.31/47.43  | | | | |   (74)  e14 = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | COMBINE_EQS: (43), (74) imply:
% 241.31/47.43  | | | | |   (75)  all_25_7 = e11
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | REF_CLOSE: (3), (7), (15), (16), (17), (19), (28), (29), (50), (52),
% 241.31/47.43  | | | | |            (75) are inconsistent by sub-proof #935.
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | Case 2:
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | |   (76)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 241.31/47.43  | | | | |           op1(e10, e10) = e11)
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | BETA: splitting (76) gives:
% 241.31/47.43  | | | | | 
% 241.31/47.43  | | | | | Case 1:
% 241.31/47.43  | | | | | | 
% 241.31/47.43  | | | | | |   (77)  all_25_23 = e11 & op1(e10, e11) = e11
% 241.31/47.43  | | | | | | 
% 241.31/47.43  | | | | | | ALPHA: (77) implies:
% 241.31/47.43  | | | | | |   (78)  all_25_23 = e11
% 241.31/47.43  | | | | | | 
% 241.31/47.43  | | | | | | BETA: splitting (9) gives:
% 241.31/47.43  | | | | | | 
% 241.31/47.43  | | | | | | Case 1:
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | |   (79)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10
% 241.31/47.43  | | | | | | |           & op1(e13, e11) = e10)
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | | BETA: splitting (79) gives:
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | |   (80)  all_25_9 = e10 & op1(e14, e11) = e10
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | | REF_CLOSE: (3), (4), (5), (15), (16), (18), (19), (28), (30),
% 241.31/47.43  | | | | | | | |            (32), (34), (36), (37), (48), (52), (54), (80) are
% 241.31/47.43  | | | | | | | |            inconsistent by sub-proof #972.
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | |   (81)  all_25_10 = e10 & op1(e13, e11) = e10
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | | REF_CLOSE: (3), (5), (14), (18), (19), (25), (28), (30), (32),
% 241.31/47.43  | | | | | | | |            (33), (36), (37), (38), (42), (48), (52), (81) are
% 241.31/47.43  | | | | | | | |            inconsistent by sub-proof #1092.
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | End of split
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | Case 2:
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | |   (82)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10
% 241.31/47.43  | | | | | | |           & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10,
% 241.31/47.43  | | | | | | |             e11) = e10)
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | | BETA: splitting (82) gives:
% 241.31/47.43  | | | | | | | 
% 241.31/47.43  | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | |   (83)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | | ALPHA: (83) implies:
% 241.31/47.43  | | | | | | | |   (84)  all_25_11 = e10
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | | BETA: splitting (53) gives:
% 241.31/47.43  | | | | | | | | 
% 241.31/47.43  | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | |   (85)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 =
% 241.31/47.43  | | | | | | | | |           e11 & op1(e12, e13) = e11)
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | REF_CLOSE: (3), (7), (15), (16), (17), (19), (28), (29), (30),
% 241.31/47.43  | | | | | | | | |            (41), (50), (52), (85) are inconsistent by
% 241.31/47.43  | | | | | | | | |            sub-proof #459.
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | |   (86)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 241.31/47.43  | | | | | | | | |           e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 241.31/47.43  | | | | | | | | |           op1(e12, e10) = e11)
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | BETA: splitting (86) gives:
% 241.31/47.43  | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | |   (87)  all_25_8 = e11 & op1(e12, e12) = e11
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | ALPHA: (87) implies:
% 241.31/47.43  | | | | | | | | | |   (88)  all_25_8 = e11
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | COMBINE_EQS: (40), (88) imply:
% 241.31/47.43  | | | | | | | | | |   (89)  e12 = e11
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | SIMP: (89) implies:
% 241.31/47.43  | | | | | | | | | |   (90)  e12 = e11
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | COMBINE_EQS: (6), (90) imply:
% 241.31/47.43  | | | | | | | | | |   (91)  all_25_15 = e11
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | REF_CLOSE: (3), (4), (5), (10), (11), (14), (15), (18), (19),
% 241.31/47.43  | | | | | | | | | |            (20), (21), (25), (28), (30), (32), (33), (36),
% 241.31/47.43  | | | | | | | | | |            (37), (38), (42), (48), (52), (78), (84), (91) are
% 241.31/47.43  | | | | | | | | | |            inconsistent by sub-proof #152.
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | |   (92)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18
% 241.31/47.43  | | | | | | | | | |           = e11 & op1(e12, e10) = e11)
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | BETA: splitting (92) gives:
% 241.31/47.43  | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | |   (93)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | REF_CLOSE: (33), (84), (93) are inconsistent by sub-proof
% 241.31/47.43  | | | | | | | | | | |            #1112.
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | |   (94)  all_25_18 = e11 & op1(e12, e10) = e11
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | ALPHA: (94) implies:
% 241.31/47.43  | | | | | | | | | | |   (95)  all_25_18 = e11
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | BETA: splitting (12) gives:
% 241.31/47.43  | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | |   (96)  (all_25_16 = e10 & op1(e14, e10) = e10) |
% 241.31/47.43  | | | | | | | | | | | |         (all_25_17 = e10 & op1(e13, e10) = e10)
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (8), (15), (16), (18), (19), (23),
% 241.31/47.43  | | | | | | | | | | | |            (25), (28), (30), (32), (36), (37), (45), (48),
% 241.31/47.43  | | | | | | | | | | | |            (51), (52), (96) are inconsistent by sub-proof
% 241.31/47.43  | | | | | | | | | | | |            #141.
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | |   (97)  (all_25_18 = e10 & op1(e12, e10) = e10) |
% 241.31/47.43  | | | | | | | | | | | |         (all_25_19 = e10 & op1(e11, e10) = e10)
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | BETA: splitting (97) gives:
% 241.31/47.43  | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | |   (98)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | ALPHA: (98) implies:
% 241.31/47.43  | | | | | | | | | | | | |   (99)  all_25_18 = e10
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | REF_CLOSE: (33), (95), (99) are inconsistent by sub-proof
% 241.31/47.43  | | | | | | | | | | | | |            #1066.
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | |   (100)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | ALPHA: (100) implies:
% 241.31/47.43  | | | | | | | | | | | | |   (101)  all_25_19 = e10
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | BETA: splitting (26) gives:
% 241.31/47.43  | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | |   (102)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 241.31/47.43  | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | |   (103)  all_25_12 = e11 & op1(e11, e14) = e11
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 241.31/47.43  | | | | | | | | | | | | | | |   (104)  all_25_12 = e11
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (11), (14), (15),
% 241.31/47.43  | | | | | | | | | | | | | | |            (16), (17), (18), (19), (23), (24), (25), (28),
% 241.31/47.43  | | | | | | | | | | | | | | |            (29), (30), (31), (32), (33), (34), (35), (36),
% 241.31/47.43  | | | | | | | | | | | | | | |            (37), (38), (41), (42), (43), (45), (46), (48),
% 241.31/47.43  | | | | | | | | | | | | | | |            (50), (51), (52), (54), (104) are inconsistent by
% 241.31/47.43  | | | | | | | | | | | | | | |            sub-proof #136.
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | |   (105)  all_25_13 = e11 & op1(e11, e13) = e11
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 241.31/47.43  | | | | | | | | | | | | | | |   (106)  all_25_13 = e11
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (11), (14), (15), (16), (17),
% 241.31/47.43  | | | | | | | | | | | | | | |            (18), (19), (27), (28), (30), (32), (33), (36),
% 241.31/47.43  | | | | | | | | | | | | | | |            (37), (38), (42), (47), (48), (50), (52), (54),
% 241.31/47.43  | | | | | | | | | | | | | | |            (106) are inconsistent by sub-proof #446.
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | End of split
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | |   (107)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 241.31/47.43  | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.31/47.43  | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 241.31/47.43  | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | |   (108)  all_25_14 = e11 & op1(e11, e12) = e11
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | REF_CLOSE: (13), (30), (108) are inconsistent by sub-proof
% 241.31/47.43  | | | | | | | | | | | | | | |            #477.
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | Case 2:
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | |   (109)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 241.31/47.43  | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 241.31/47.43  | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | Case 1:
% 241.31/47.43  | | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | |   (110)  all_25_15 = e11 & op1(e11, e11) = e11
% 241.31/47.43  | | | | | | | | | | | | | | | | 
% 241.31/47.43  | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 241.31/47.43  | | | | | | | | | | | | | | | |   (111)  all_25_15 = e11
% 241.31/47.43  | | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (10), (11), (14), (15), (18), (19),
% 241.36/47.43  | | | | | | | | | | | | | | | |            (20), (21), (25), (28), (30), (32), (33), (36),
% 241.36/47.43  | | | | | | | | | | | | | | | |            (37), (38), (42), (48), (52), (78), (84), (111)
% 241.36/47.43  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #152.
% 241.36/47.43  | | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | | Case 2:
% 241.36/47.43  | | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | | |   (112)  all_25_19 = e11 & op1(e11, e10) = e11
% 241.36/47.43  | | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | | | REF_CLOSE: (33), (101), (112) are inconsistent by sub-proof
% 241.36/47.43  | | | | | | | | | | | | | | | |            #1103.
% 241.36/47.43  | | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | 
% 241.36/47.43  | | | | | | | Case 2:
% 241.36/47.43  | | | | | | | | 
% 241.36/47.43  | | | | | | | |   (113)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 =
% 241.36/47.43  | | | | | | | |            e10 & op1(e10, e11) = e10)
% 241.36/47.43  | | | | | | | | 
% 241.36/47.43  | | | | | | | | BETA: splitting (113) gives:
% 241.36/47.43  | | | | | | | | 
% 241.36/47.43  | | | | | | | | Case 1:
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | |   (114)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (11), (14), (15), (18), (19),
% 241.36/47.43  | | | | | | | | |            (28), (30), (32), (33), (36), (37), (38), (42),
% 241.36/47.43  | | | | | | | | |            (48), (52), (114) are inconsistent by sub-proof
% 241.36/47.43  | | | | | | | | |            #146.
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | Case 2:
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | |   (115)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | | REF_CLOSE: (33), (78), (115) are inconsistent by sub-proof
% 241.36/47.43  | | | | | | | | |            #135.
% 241.36/47.43  | | | | | | | | | 
% 241.36/47.43  | | | | | | | | End of split
% 241.36/47.43  | | | | | | | | 
% 241.36/47.43  | | | | | | | End of split
% 241.36/47.43  | | | | | | | 
% 241.36/47.43  | | | | | | End of split
% 241.36/47.43  | | | | | | 
% 241.36/47.43  | | | | | Case 2:
% 241.36/47.43  | | | | | | 
% 241.36/47.43  | | | | | |   (116)  all_25_24 = e11 & op1(e10, e10) = e11
% 241.36/47.43  | | | | | | 
% 241.36/47.43  | | | | | | REF_CLOSE: (14), (22), (116) are inconsistent by sub-proof #134.
% 241.36/47.43  | | | | | | 
% 241.36/47.43  | | | | | End of split
% 241.36/47.43  | | | | | 
% 241.36/47.43  | | | | End of split
% 241.36/47.43  | | | | 
% 241.36/47.43  | | | End of split
% 241.36/47.43  | | | 
% 241.36/47.43  | | Case 2:
% 241.36/47.43  | | | 
% 241.36/47.43  | | |   (117)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 241.36/47.43  | | |            op1(e10, e10) = e14)
% 241.36/47.43  | | | 
% 241.36/47.43  | | | REF_CLOSE: (22), (28), (39), (49), (52), (117) are inconsistent by
% 241.36/47.43  | | |            sub-proof #133.
% 241.36/47.43  | | | 
% 241.36/47.43  | | End of split
% 241.36/47.43  | | 
% 241.36/47.43  | End of split
% 241.36/47.43  | 
% 241.36/47.43  End of proof
% 241.36/47.43  
% 241.36/47.43  Sub-proof #133 shows that the following formulas are inconsistent:
% 241.36/47.43  ----------------------------------------------------------------
% 241.36/47.43    (1)  all_25_24 = e12
% 241.36/47.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.43           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.43    (3)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 241.36/47.43             e10) = e14)
% 241.36/47.43    (4)   ~ (all_14_19 = e14)
% 241.36/47.43    (5)  op1(e10, e11) = all_14_19
% 241.36/47.43    (6)   ~ (e14 = e12)
% 241.36/47.43  
% 241.36/47.43  Begin of proof
% 241.36/47.43  | 
% 241.36/47.43  | BETA: splitting (3) gives:
% 241.36/47.43  | 
% 241.36/47.43  | Case 1:
% 241.36/47.43  | | 
% 241.36/47.43  | |   (7)  all_25_23 = e14 & op1(e10, e11) = e14
% 241.36/47.43  | | 
% 241.36/47.43  | | ALPHA: (7) implies:
% 241.36/47.43  | |   (8)  op1(e10, e11) = e14
% 241.36/47.43  | | 
% 241.36/47.43  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1257.
% 241.36/47.43  | | 
% 241.36/47.43  | Case 2:
% 241.36/47.43  | | 
% 241.36/47.43  | |   (9)  all_25_24 = e14 & op1(e10, e10) = e14
% 241.36/47.43  | | 
% 241.36/47.43  | | ALPHA: (9) implies:
% 241.36/47.43  | |   (10)  all_25_24 = e14
% 241.36/47.43  | | 
% 241.36/47.43  | | COMBINE_EQS: (1), (10) imply:
% 241.36/47.43  | |   (11)  e14 = e12
% 241.36/47.43  | | 
% 241.36/47.43  | | REDUCE: (6), (11) imply:
% 241.36/47.43  | |   (12)  $false
% 241.36/47.43  | | 
% 241.36/47.43  | | CLOSE: (12) is inconsistent.
% 241.36/47.43  | | 
% 241.36/47.43  | End of split
% 241.36/47.43  | 
% 241.36/47.43  End of proof
% 241.36/47.43  
% 241.36/47.43  Sub-proof #134 shows that the following formulas are inconsistent:
% 241.36/47.43  ----------------------------------------------------------------
% 241.36/47.43    (1)  all_25_24 = e11 & op1(e10, e10) = e11
% 241.36/47.43    (2)  all_25_24 = e12
% 241.36/47.43    (3)   ~ (e12 = e11)
% 241.36/47.43  
% 241.36/47.43  Begin of proof
% 241.36/47.43  | 
% 241.36/47.43  | ALPHA: (1) implies:
% 241.36/47.43  |   (4)  all_25_24 = e11
% 241.36/47.43  | 
% 241.36/47.43  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.43  |   (5)  e12 = e11
% 241.36/47.43  | 
% 241.36/47.43  | REDUCE: (3), (5) imply:
% 241.36/47.43  |   (6)  $false
% 241.36/47.43  | 
% 241.36/47.43  | CLOSE: (6) is inconsistent.
% 241.36/47.43  | 
% 241.36/47.43  End of proof
% 241.36/47.43  
% 241.36/47.43  Sub-proof #135 shows that the following formulas are inconsistent:
% 241.36/47.43  ----------------------------------------------------------------
% 241.36/47.43    (1)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.36/47.43    (2)  all_25_23 = e11
% 241.36/47.43    (3)   ~ (e11 = e10)
% 241.36/47.43  
% 241.36/47.43  Begin of proof
% 241.36/47.43  | 
% 241.36/47.43  | ALPHA: (1) implies:
% 241.36/47.43  |   (4)  all_25_23 = e10
% 241.36/47.43  | 
% 241.36/47.43  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.43  |   (5)  e11 = e10
% 241.36/47.43  | 
% 241.36/47.43  | REDUCE: (3), (5) imply:
% 241.36/47.43  |   (6)  $false
% 241.36/47.43  | 
% 241.36/47.43  | CLOSE: (6) is inconsistent.
% 241.36/47.43  | 
% 241.36/47.43  End of proof
% 241.36/47.43  
% 241.36/47.43  Sub-proof #136 shows that the following formulas are inconsistent:
% 241.36/47.43  ----------------------------------------------------------------
% 241.36/47.43    (1)   ~ (all_14_10 = e10)
% 241.36/47.43    (2)   ~ (e14 = e10)
% 241.36/47.43    (3)  all_25_2 = e12
% 241.36/47.43    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.43           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.43           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.43    (5)  all_25_1 = e12
% 241.36/47.43    (6)  op1(e14, unit1) = e14
% 241.36/47.44    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.44           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.44           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.44    (8)   ~ (e12 = e11)
% 241.36/47.44    (9)   ~ (e14 = e11)
% 241.36/47.44    (10)  all_25_3 = e11
% 241.36/47.44    (11)  op1(e10, e13) = e13
% 241.36/47.44    (12)   ~ (e13 = e10)
% 241.36/47.44    (13)   ~ (e14 = e13)
% 241.36/47.44    (14)  op1(e13, unit1) = e13
% 241.36/47.44    (15)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.36/47.44            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.36/47.44            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.44    (16)  op1(e13, e11) = e14
% 241.36/47.44    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.44            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.44    (18)  all_25_13 = e10
% 241.36/47.44    (19)   ~ (e13 = e11)
% 241.36/47.44    (20)  all_25_20 = e10
% 241.36/47.44    (21)  op1(e13, e12) = e10
% 241.36/47.44    (22)   ~ (e11 = e10)
% 241.36/47.44    (23)  all_25_9 = e13
% 241.36/47.44    (24)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.36/47.44            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 241.36/47.44            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.36/47.44    (25)   ~ (e13 = e12)
% 241.36/47.44    (26)  op1(e13, e13) = e11
% 241.36/47.44    (27)   ~ (e12 = e10)
% 241.36/47.44    (28)  all_25_12 = e11
% 241.36/47.44    (29)  all_25_6 = e13
% 241.36/47.44    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.44            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.44            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.44    (31)  all_25_7 = e14
% 241.36/47.44    (32)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.44    (33)  op1(e14, e12) = all_14_10
% 241.36/47.44    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.44            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.44            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.44    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.44            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.44            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.44    (36)  op1(e13, e14) = e12
% 241.36/47.44    (37)   ~ (e14 = e12)
% 241.36/47.44    (38)  all_25_17 = e13
% 241.36/47.44  
% 241.36/47.44  Begin of proof
% 241.36/47.44  | 
% 241.36/47.44  | BETA: splitting (24) gives:
% 241.36/47.44  | 
% 241.36/47.44  | Case 1:
% 241.36/47.44  | | 
% 241.36/47.44  | |   (39)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 241.36/47.44  | |             e14) = e14)
% 241.36/47.44  | | 
% 241.36/47.44  | | BETA: splitting (39) gives:
% 241.36/47.44  | | 
% 241.36/47.44  | | Case 1:
% 241.36/47.44  | | | 
% 241.36/47.44  | | |   (40)  all_25_0 = e14 & op1(e14, e14) = e14
% 241.36/47.44  | | | 
% 241.36/47.44  | | | ALPHA: (40) implies:
% 241.36/47.44  | | |   (41)  all_25_0 = e14
% 241.36/47.44  | | | 
% 241.36/47.44  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 241.36/47.44  | | |            (14), (15), (16), (17), (19), (21), (22), (23), (25), (26),
% 241.36/47.44  | | |            (27), (30), (32), (33), (34), (36), (37), (38), (41) are
% 241.36/47.44  | | |            inconsistent by sub-proof #138.
% 241.36/47.44  | | | 
% 241.36/47.44  | | Case 2:
% 241.36/47.44  | | | 
% 241.36/47.44  | | |   (42)  all_25_2 = e14 & op1(e13, e14) = e14
% 241.36/47.44  | | | 
% 241.36/47.44  | | | REF_CLOSE: (4), (8), (12), (13), (16), (17), (19), (21), (25), (26), (27),
% 241.36/47.44  | | |            (30), (37), (42) are inconsistent by sub-proof #1185.
% 241.36/47.44  | | | 
% 241.36/47.44  | | End of split
% 241.36/47.44  | | 
% 241.36/47.44  | Case 2:
% 241.36/47.44  | | 
% 241.36/47.44  | |   (43)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 & op1(e11,
% 241.36/47.44  | |             e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.36/47.44  | | 
% 241.36/47.44  | | BETA: splitting (43) gives:
% 241.36/47.44  | | 
% 241.36/47.44  | | Case 1:
% 241.36/47.44  | | | 
% 241.36/47.44  | | |   (44)  all_25_6 = e14 & op1(e12, e14) = e14
% 241.36/47.44  | | | 
% 241.36/47.44  | | | REF_CLOSE: (2), (5), (9), (10), (11), (13), (17), (18), (29), (31), (35),
% 241.36/47.44  | | |            (37), (44) are inconsistent by sub-proof #466.
% 241.36/47.44  | | | 
% 241.36/47.44  | | Case 2:
% 241.36/47.44  | | | 
% 241.36/47.44  | | |   (45)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 241.36/47.44  | | |           op1(e10, e14) = e14)
% 241.36/47.44  | | | 
% 241.36/47.44  | | | BETA: splitting (45) gives:
% 241.36/47.44  | | | 
% 241.36/47.44  | | | Case 1:
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | |   (46)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | | ALPHA: (46) implies:
% 241.36/47.44  | | | |   (47)  all_25_12 = e14
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | | COMBINE_EQS: (28), (47) imply:
% 241.36/47.44  | | | |   (48)  e14 = e11
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | | REF_CLOSE: (2), (5), (9), (10), (11), (13), (17), (18), (31), (35),
% 241.36/47.44  | | | |            (37), (48) are inconsistent by sub-proof #137.
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | Case 2:
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | |   (49)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | | REF_CLOSE: (2), (20), (49) are inconsistent by sub-proof #1214.
% 241.36/47.44  | | | | 
% 241.36/47.44  | | | End of split
% 241.36/47.44  | | | 
% 241.36/47.44  | | End of split
% 241.36/47.44  | | 
% 241.36/47.44  | End of split
% 241.36/47.44  | 
% 241.36/47.44  End of proof
% 241.36/47.44  
% 241.36/47.44  Sub-proof #137 shows that the following formulas are inconsistent:
% 241.36/47.44  ----------------------------------------------------------------
% 241.36/47.44    (1)   ~ (e14 = e10)
% 241.36/47.44    (2)  all_25_1 = e12
% 241.36/47.44    (3)   ~ (e14 = e11)
% 241.36/47.44    (4)  all_25_3 = e11
% 241.36/47.44    (5)  op1(e10, e13) = e13
% 241.36/47.44    (6)   ~ (e14 = e13)
% 241.36/47.44    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.44    (8)  e14 = e11
% 241.36/47.44    (9)  all_25_13 = e10
% 241.36/47.44    (10)  all_25_7 = e14
% 241.36/47.44    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.44            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.44            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.44    (12)   ~ (e14 = e12)
% 241.36/47.44  
% 241.36/47.44  Begin of proof
% 241.36/47.44  | 
% 241.36/47.44  | SIMP: (8) implies:
% 241.36/47.44  |   (13)  e14 = e11
% 241.36/47.44  | 
% 241.36/47.44  | COMBINE_EQS: (10), (13) imply:
% 241.36/47.44  |   (14)  all_25_7 = e11
% 241.36/47.44  | 
% 241.36/47.44  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (14) are
% 241.36/47.44  |            inconsistent by sub-proof #935.
% 241.36/47.44  | 
% 241.36/47.44  End of proof
% 241.36/47.44  
% 241.36/47.44  Sub-proof #138 shows that the following formulas are inconsistent:
% 241.36/47.44  ----------------------------------------------------------------
% 241.36/47.44    (1)   ~ (all_14_10 = e10)
% 241.36/47.44    (2)   ~ (e14 = e10)
% 241.36/47.44    (3)  all_25_2 = e12
% 241.36/47.44    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.44           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.44           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.44    (5)  all_25_1 = e12
% 241.36/47.44    (6)  op1(e14, unit1) = e14
% 241.36/47.44    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.44           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.44           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.44    (8)   ~ (e12 = e11)
% 241.36/47.44    (9)   ~ (e14 = e11)
% 241.36/47.44    (10)  all_25_3 = e11
% 241.36/47.44    (11)   ~ (e13 = e10)
% 241.36/47.44    (12)   ~ (e14 = e13)
% 241.36/47.44    (13)  op1(e13, unit1) = e13
% 241.36/47.44    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.36/47.44            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.36/47.44            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.44    (15)  op1(e13, e11) = e14
% 241.36/47.44    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.44            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.44    (17)   ~ (e13 = e11)
% 241.36/47.44    (18)  op1(e13, e12) = e10
% 241.36/47.44    (19)   ~ (e11 = e10)
% 241.36/47.44    (20)  all_25_9 = e13
% 241.36/47.44    (21)   ~ (e13 = e12)
% 241.36/47.44    (22)  op1(e13, e13) = e11
% 241.36/47.44    (23)   ~ (e12 = e10)
% 241.36/47.44    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.44            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.44            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.44    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.44    (26)  op1(e14, e12) = all_14_10
% 241.36/47.44    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.44            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.44            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.44    (28)  op1(e13, e14) = e12
% 241.36/47.44    (29)   ~ (e14 = e12)
% 241.36/47.45    (30)  all_25_0 = e14
% 241.36/47.45    (31)  all_25_17 = e13
% 241.36/47.45  
% 241.36/47.45  Begin of proof
% 241.36/47.45  | 
% 241.36/47.45  | BETA: splitting (14) gives:
% 241.36/47.45  | 
% 241.36/47.45  | Case 1:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (32)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 241.36/47.45  | |             e13) = e10)
% 241.36/47.45  | | 
% 241.36/47.45  | | BETA: splitting (32) gives:
% 241.36/47.45  | | 
% 241.36/47.45  | | Case 1:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (33)  all_25_0 = e10 & op1(e14, e14) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (2), (30), (33) are inconsistent by sub-proof #1134.
% 241.36/47.45  | | | 
% 241.36/47.45  | | Case 2:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (34)  all_25_1 = e10 & op1(e14, e13) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (16), (17),
% 241.36/47.45  | | |            (18), (19), (21), (22), (23), (24), (27), (29), (34) are
% 241.36/47.45  | | |            inconsistent by sub-proof #1280.
% 241.36/47.45  | | | 
% 241.36/47.45  | | End of split
% 241.36/47.45  | | 
% 241.36/47.45  | Case 2:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (35)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 241.36/47.45  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.45  | | 
% 241.36/47.45  | | BETA: splitting (35) gives:
% 241.36/47.45  | | 
% 241.36/47.45  | | Case 1:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (36)  all_25_4 = e10 & op1(e14, e12) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | ALPHA: (36) implies:
% 241.36/47.45  | | |   (37)  op1(e14, e12) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (1), (16), (26), (37) are inconsistent by sub-proof #973.
% 241.36/47.45  | | | 
% 241.36/47.45  | | Case 2:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (38)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 241.36/47.45  | | |           op1(e14, e10) = e10)
% 241.36/47.45  | | | 
% 241.36/47.45  | | | BETA: splitting (38) gives:
% 241.36/47.45  | | | 
% 241.36/47.45  | | | Case 1:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (39)  all_25_9 = e10 & op1(e14, e11) = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REF_CLOSE: (2), (3), (4), (9), (10), (11), (12), (16), (17), (18), (20),
% 241.36/47.45  | | | |            (21), (22), (27), (29), (31), (39) are inconsistent by
% 241.36/47.45  | | | |            sub-proof #972.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | Case 2:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (40)  all_25_16 = e10 & op1(e14, e10) = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | ALPHA: (40) implies:
% 241.36/47.45  | | | |   (41)  op1(e14, e10) = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REF_CLOSE: (6), (11), (12), (13), (15), (16), (18), (21), (25), (28),
% 241.36/47.45  | | | |            (41) are inconsistent by sub-proof #142.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | End of split
% 241.36/47.45  | | | 
% 241.36/47.45  | | End of split
% 241.36/47.45  | | 
% 241.36/47.45  | End of split
% 241.36/47.45  | 
% 241.36/47.45  End of proof
% 241.36/47.45  
% 241.36/47.45  Sub-proof #139 shows that the following formulas are inconsistent:
% 241.36/47.45  ----------------------------------------------------------------
% 241.36/47.45    (1)   ~ (e14 = e10)
% 241.36/47.45    (2)  all_25_2 = e12
% 241.36/47.45    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.45    (4)  all_25_19 = e12
% 241.36/47.45    (5)  op1(e14, unit1) = e14
% 241.36/47.45    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.45           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.45           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.45    (7)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 241.36/47.45             e10) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 =
% 241.36/47.45           e10 & op1(e11, e10) = e10)
% 241.36/47.45    (8)   ~ (e12 = e11)
% 241.36/47.45    (9)   ~ (e14 = e11)
% 241.36/47.45    (10)  all_25_3 = e11
% 241.36/47.45    (11)   ~ (e13 = e10)
% 241.36/47.45    (12)   ~ (e14 = e13)
% 241.36/47.45    (13)  op1(e13, unit1) = e13
% 241.36/47.45    (14)  op1(e11, e10) = e12
% 241.36/47.45    (15)  op1(e13, e11) = e14
% 241.36/47.45    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.45    (17)   ~ (e13 = e11)
% 241.36/47.45    (18)  op1(e13, e12) = e10
% 241.36/47.45    (19)  op1(e12, unit1) = e12
% 241.36/47.45    (20)   ~ (e11 = e10)
% 241.36/47.45    (21)   ~ (e13 = e12)
% 241.36/47.45    (22)  op1(e13, e13) = e11
% 241.36/47.45    (23)   ~ (e12 = e10)
% 241.36/47.45    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.45    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45    (26)  op1(e11, unit1) = e11
% 241.36/47.45    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.45    (28)  op1(e13, e14) = e12
% 241.36/47.45    (29)   ~ (e14 = e12)
% 241.36/47.45  
% 241.36/47.45  Begin of proof
% 241.36/47.45  | 
% 241.36/47.45  | BETA: splitting (7) gives:
% 241.36/47.45  | 
% 241.36/47.45  | Case 1:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (30)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 &
% 241.36/47.45  | |           op1(e13, e10) = e10)
% 241.36/47.45  | | 
% 241.36/47.45  | | REF_CLOSE: (1), (2), (3), (5), (9), (10), (11), (12), (13), (15), (16),
% 241.36/47.45  | |            (17), (18), (21), (22), (25), (27), (28), (29), (30) are
% 241.36/47.45  | |            inconsistent by sub-proof #141.
% 241.36/47.45  | | 
% 241.36/47.45  | Case 2:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (31)  (all_25_18 = e10 & op1(e12, e10) = e10) | (all_25_19 = e10 &
% 241.36/47.45  | |           op1(e11, e10) = e10)
% 241.36/47.45  | | 
% 241.36/47.45  | | BETA: splitting (31) gives:
% 241.36/47.45  | | 
% 241.36/47.45  | | Case 1:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (32)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | ALPHA: (32) implies:
% 241.36/47.45  | | |   (33)  op1(e12, e10) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (11), (12), (13), (14), (15), (16), (18), (19), (21), (25),
% 241.36/47.45  | | |            (26), (28), (33) are inconsistent by sub-proof #140.
% 241.36/47.45  | | | 
% 241.36/47.45  | | Case 2:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (34)  all_25_19 = e10 & op1(e11, e10) = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (12), (16), (17),
% 241.36/47.45  | | |            (18), (20), (21), (22), (23), (24), (27), (29), (34) are
% 241.36/47.45  | | |            inconsistent by sub-proof #1045.
% 241.36/47.45  | | | 
% 241.36/47.45  | | End of split
% 241.36/47.45  | | 
% 241.36/47.45  | End of split
% 241.36/47.45  | 
% 241.36/47.45  End of proof
% 241.36/47.45  
% 241.36/47.45  Sub-proof #140 shows that the following formulas are inconsistent:
% 241.36/47.45  ----------------------------------------------------------------
% 241.36/47.45    (1)   ~ (e13 = e10)
% 241.36/47.45    (2)   ~ (e14 = e13)
% 241.36/47.45    (3)  op1(e13, unit1) = e13
% 241.36/47.45    (4)  op1(e11, e10) = e12
% 241.36/47.45    (5)  op1(e13, e11) = e14
% 241.36/47.45    (6)  op1(e12, e10) = e10
% 241.36/47.45    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.45           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.45    (8)  op1(e13, e12) = e10
% 241.36/47.45    (9)  op1(e12, unit1) = e12
% 241.36/47.45    (10)   ~ (e13 = e12)
% 241.36/47.45    (11)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45    (12)  op1(e11, unit1) = e11
% 241.36/47.45    (13)  op1(e13, e14) = e12
% 241.36/47.45  
% 241.36/47.45  Begin of proof
% 241.36/47.45  | 
% 241.36/47.45  | BETA: splitting (11) gives:
% 241.36/47.45  | 
% 241.36/47.45  | Case 1:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (14)  unit1 = e14
% 241.36/47.45  | | 
% 241.36/47.45  | | REDUCE: (3), (14) imply:
% 241.36/47.45  | |   (15)  op1(e13, e14) = e13
% 241.36/47.45  | | 
% 241.36/47.45  | | REF_CLOSE: (7), (10), (13), (15) are inconsistent by sub-proof #1227.
% 241.36/47.45  | | 
% 241.36/47.45  | Case 2:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (16)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | BETA: splitting (16) gives:
% 241.36/47.45  | | 
% 241.36/47.45  | | Case 1:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (17)  unit1 = e12
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REDUCE: (3), (17) imply:
% 241.36/47.45  | | |   (18)  op1(e13, e12) = e13
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (1), (7), (8), (18) are inconsistent by sub-proof #1334.
% 241.36/47.45  | | | 
% 241.36/47.45  | | Case 2:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (19)  unit1 = e11 | unit1 = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | BETA: splitting (19) gives:
% 241.36/47.45  | | | 
% 241.36/47.45  | | | Case 1:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (20)  unit1 = e11
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (3), (20) imply:
% 241.36/47.45  | | | |   (21)  op1(e13, e11) = e13
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REF_CLOSE: (2), (5), (7), (21) are inconsistent by sub-proof #1333.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | Case 2:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (22)  unit1 = e10
% 241.36/47.45  | | | |   (23)   ~ (unit1 = e11)
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (22), (23) imply:
% 241.36/47.45  | | | |   (24)   ~ (e11 = e10)
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | SIMP: (24) implies:
% 241.36/47.45  | | | |   (25)   ~ (e11 = e10)
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (9), (22) imply:
% 241.36/47.45  | | | |   (26)  op1(e12, e10) = e12
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (12), (22) imply:
% 241.36/47.45  | | | |   (27)  op1(e11, e10) = e11
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | GROUND_INST: instantiating (7) with e12, e11, e10, e11, simplifying with
% 241.36/47.45  | | | |              (4), (27) gives:
% 241.36/47.45  | | | |   (28)  e12 = e11
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | GROUND_INST: instantiating (7) with e10, e12, e10, e12, simplifying with
% 241.36/47.45  | | | |              (6), (26) gives:
% 241.36/47.45  | | | |   (29)  e12 = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | COMBINE_EQS: (28), (29) imply:
% 241.36/47.45  | | | |   (30)  e11 = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | SIMP: (30) implies:
% 241.36/47.45  | | | |   (31)  e11 = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (25), (31) imply:
% 241.36/47.45  | | | |   (32)  $false
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | CLOSE: (32) is inconsistent.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | End of split
% 241.36/47.45  | | | 
% 241.36/47.45  | | End of split
% 241.36/47.45  | | 
% 241.36/47.45  | End of split
% 241.36/47.45  | 
% 241.36/47.45  End of proof
% 241.36/47.45  
% 241.36/47.45  Sub-proof #141 shows that the following formulas are inconsistent:
% 241.36/47.45  ----------------------------------------------------------------
% 241.36/47.45    (1)   ~ (e14 = e10)
% 241.36/47.45    (2)  all_25_2 = e12
% 241.36/47.45    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.45    (4)  op1(e14, unit1) = e14
% 241.36/47.45    (5)   ~ (e14 = e11)
% 241.36/47.45    (6)  all_25_3 = e11
% 241.36/47.45    (7)   ~ (e13 = e10)
% 241.36/47.45    (8)   ~ (e14 = e13)
% 241.36/47.45    (9)  op1(e13, unit1) = e13
% 241.36/47.45    (10)  op1(e13, e11) = e14
% 241.36/47.45    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.45    (12)   ~ (e13 = e11)
% 241.36/47.45    (13)  op1(e13, e12) = e10
% 241.36/47.45    (14)   ~ (e13 = e12)
% 241.36/47.45    (15)  op1(e13, e13) = e11
% 241.36/47.45    (16)  (all_25_16 = e10 & op1(e14, e10) = e10) | (all_25_17 = e10 & op1(e13,
% 241.36/47.45              e10) = e10)
% 241.36/47.45    (17)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.45    (19)  op1(e13, e14) = e12
% 241.36/47.45    (20)   ~ (e14 = e12)
% 241.36/47.45  
% 241.36/47.45  Begin of proof
% 241.36/47.45  | 
% 241.36/47.45  | BETA: splitting (16) gives:
% 241.36/47.45  | 
% 241.36/47.45  | Case 1:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (21)  all_25_16 = e10 & op1(e14, e10) = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | ALPHA: (21) implies:
% 241.36/47.45  | |   (22)  op1(e14, e10) = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | REF_CLOSE: (4), (7), (8), (9), (10), (11), (13), (14), (17), (19), (22) are
% 241.36/47.45  | |            inconsistent by sub-proof #142.
% 241.36/47.45  | | 
% 241.36/47.45  | Case 2:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (23)  all_25_17 = e10 & op1(e13, e10) = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | ALPHA: (23) implies:
% 241.36/47.45  | |   (24)  all_25_17 = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (11), (12), (13), (14), (15),
% 241.36/47.45  | |            (18), (20), (24) are inconsistent by sub-proof #1277.
% 241.36/47.45  | | 
% 241.36/47.45  | End of split
% 241.36/47.45  | 
% 241.36/47.45  End of proof
% 241.36/47.45  
% 241.36/47.45  Sub-proof #142 shows that the following formulas are inconsistent:
% 241.36/47.45  ----------------------------------------------------------------
% 241.36/47.45    (1)  op1(e14, e10) = e10
% 241.36/47.45    (2)  op1(e14, unit1) = e14
% 241.36/47.45    (3)   ~ (e13 = e10)
% 241.36/47.45    (4)   ~ (e14 = e13)
% 241.36/47.45    (5)  op1(e13, unit1) = e13
% 241.36/47.45    (6)  op1(e13, e11) = e14
% 241.36/47.45    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.45           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.45    (8)  op1(e13, e12) = e10
% 241.36/47.45    (9)   ~ (e13 = e12)
% 241.36/47.45    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45    (11)  op1(e13, e14) = e12
% 241.36/47.45  
% 241.36/47.45  Begin of proof
% 241.36/47.45  | 
% 241.36/47.45  | BETA: splitting (10) gives:
% 241.36/47.45  | 
% 241.36/47.45  | Case 1:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (12)  unit1 = e14
% 241.36/47.45  | | 
% 241.36/47.45  | | REDUCE: (5), (12) imply:
% 241.36/47.45  | |   (13)  op1(e13, e14) = e13
% 241.36/47.45  | | 
% 241.36/47.45  | | REF_CLOSE: (7), (9), (11), (13) are inconsistent by sub-proof #1227.
% 241.36/47.45  | | 
% 241.36/47.45  | Case 2:
% 241.36/47.45  | | 
% 241.36/47.45  | |   (14)   ~ (unit1 = e14)
% 241.36/47.45  | |   (15)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.45  | | 
% 241.36/47.45  | | BETA: splitting (15) gives:
% 241.36/47.45  | | 
% 241.36/47.45  | | Case 1:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (16)  unit1 = e12
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REDUCE: (5), (16) imply:
% 241.36/47.45  | | |   (17)  op1(e13, e12) = e13
% 241.36/47.45  | | | 
% 241.36/47.45  | | | REF_CLOSE: (3), (7), (8), (17) are inconsistent by sub-proof #1334.
% 241.36/47.45  | | | 
% 241.36/47.45  | | Case 2:
% 241.36/47.45  | | | 
% 241.36/47.45  | | |   (18)  unit1 = e11 | unit1 = e10
% 241.36/47.45  | | | 
% 241.36/47.45  | | | BETA: splitting (18) gives:
% 241.36/47.45  | | | 
% 241.36/47.45  | | | Case 1:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (19)  unit1 = e11
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (5), (19) imply:
% 241.36/47.45  | | | |   (20)  op1(e13, e11) = e13
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REF_CLOSE: (4), (6), (7), (20) are inconsistent by sub-proof #1333.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | Case 2:
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | |   (21)  unit1 = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (14), (21) imply:
% 241.36/47.45  | | | |   (22)   ~ (e14 = e10)
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | SIMP: (22) implies:
% 241.36/47.45  | | | |   (23)   ~ (e14 = e10)
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (2), (21) imply:
% 241.36/47.45  | | | |   (24)  op1(e14, e10) = e14
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | GROUND_INST: instantiating (7) with e10, e14, e10, e14, simplifying with
% 241.36/47.45  | | | |              (1), (24) gives:
% 241.36/47.45  | | | |   (25)  e14 = e10
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | REDUCE: (23), (25) imply:
% 241.36/47.45  | | | |   (26)  $false
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | | CLOSE: (26) is inconsistent.
% 241.36/47.45  | | | | 
% 241.36/47.45  | | | End of split
% 241.36/47.45  | | | 
% 241.36/47.45  | | End of split
% 241.36/47.45  | | 
% 241.36/47.45  | End of split
% 241.36/47.45  | 
% 241.36/47.45  End of proof
% 241.36/47.45  
% 241.36/47.45  Sub-proof #143 shows that the following formulas are inconsistent:
% 241.36/47.45  ----------------------------------------------------------------
% 241.36/47.45    (1)   ~ (e14 = e10)
% 241.36/47.45    (2)  all_25_2 = e12
% 241.36/47.45    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.46    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.46    (5)   ~ (e12 = e11)
% 241.36/47.46    (6)   ~ (e14 = e11)
% 241.36/47.46    (7)  all_25_3 = e11
% 241.36/47.46    (8)   ~ (e13 = e10)
% 241.36/47.46    (9)   ~ (e14 = e13)
% 241.36/47.46    (10)  all_25_11 = e11 & op1(e12, e11) = e11
% 241.36/47.46    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.46    (12)   ~ (e13 = e11)
% 241.36/47.46    (13)  op1(e13, e12) = e10
% 241.36/47.46    (14)   ~ (e11 = e10)
% 241.36/47.46    (15)   ~ (e13 = e12)
% 241.36/47.46    (16)  op1(e13, e13) = e11
% 241.36/47.46    (17)   ~ (e12 = e10)
% 241.36/47.46    (18)  all_25_8 = e12
% 241.36/47.46    (19)  all_25_6 = e13
% 241.36/47.46    (20)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.46    (21)  all_25_7 = e14
% 241.36/47.46    (22)  all_25_18 = e12
% 241.36/47.46    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.46    (24)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 241.36/47.46            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 241.36/47.46            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.36/47.46    (25)   ~ (e14 = e12)
% 241.36/47.46    (26)  all_25_17 = e13
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | ALPHA: (10) implies:
% 241.36/47.46  |   (27)  all_25_11 = e11
% 241.36/47.46  | 
% 241.36/47.46  | BETA: splitting (24) gives:
% 241.36/47.46  | 
% 241.36/47.46  | Case 1:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (28)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 241.36/47.46  | |             e13) = e10)
% 241.36/47.46  | | 
% 241.36/47.46  | | BETA: splitting (28) gives:
% 241.36/47.46  | | 
% 241.36/47.46  | | Case 1:
% 241.36/47.46  | | | 
% 241.36/47.46  | | |   (29)  all_25_6 = e10 & op1(e12, e14) = e10
% 241.36/47.46  | | | 
% 241.36/47.46  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (11), (12), (13), (15),
% 241.36/47.46  | | |            (16), (19), (23), (25), (26), (29) are inconsistent by
% 241.36/47.46  | | |            sub-proof #1180.
% 241.36/47.46  | | | 
% 241.36/47.46  | | Case 2:
% 241.36/47.46  | | | 
% 241.36/47.46  | | |   (30)  all_25_7 = e10 & op1(e12, e13) = e10
% 241.36/47.46  | | | 
% 241.36/47.46  | | | REF_CLOSE: (1), (21), (30) are inconsistent by sub-proof #982.
% 241.36/47.46  | | | 
% 241.36/47.46  | | End of split
% 241.36/47.46  | | 
% 241.36/47.46  | Case 2:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (31)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 & op1(e12,
% 241.36/47.46  | |             e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 241.36/47.46  | | 
% 241.36/47.46  | | BETA: splitting (31) gives:
% 241.36/47.46  | | 
% 241.36/47.46  | | Case 1:
% 241.36/47.46  | | | 
% 241.36/47.46  | | |   (32)  all_25_8 = e10 & op1(e12, e12) = e10
% 241.36/47.46  | | | 
% 241.36/47.46  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14),
% 241.36/47.46  | | |            (15), (16), (17), (18), (20), (23), (25), (32) are inconsistent
% 241.36/47.46  | | |            by sub-proof #416.
% 241.36/47.46  | | | 
% 241.36/47.46  | | Case 2:
% 241.36/47.46  | | | 
% 241.36/47.46  | | |   (33)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 241.36/47.46  | | |           op1(e12, e10) = e10)
% 241.36/47.46  | | | 
% 241.36/47.46  | | | BETA: splitting (33) gives:
% 241.36/47.46  | | | 
% 241.36/47.46  | | | Case 1:
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | |   (34)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | | REF_CLOSE: (14), (27), (34) are inconsistent by sub-proof #144.
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | Case 2:
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | |   (35)  all_25_18 = e10 & op1(e12, e10) = e10
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | | ALPHA: (35) implies:
% 241.36/47.46  | | | |   (36)  all_25_18 = e10
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13),
% 241.36/47.46  | | | |            (14), (15), (16), (17), (20), (22), (23), (25), (36) are
% 241.36/47.46  | | | |            inconsistent by sub-proof #977.
% 241.36/47.46  | | | | 
% 241.36/47.46  | | | End of split
% 241.36/47.46  | | | 
% 241.36/47.46  | | End of split
% 241.36/47.46  | | 
% 241.36/47.46  | End of split
% 241.36/47.46  | 
% 241.36/47.46  End of proof
% 241.36/47.46  
% 241.36/47.46  Sub-proof #144 shows that the following formulas are inconsistent:
% 241.36/47.46  ----------------------------------------------------------------
% 241.36/47.46    (1)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.36/47.46    (2)  all_25_11 = e11
% 241.36/47.46    (3)   ~ (e11 = e10)
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | ALPHA: (1) implies:
% 241.36/47.46  |   (4)  all_25_11 = e10
% 241.36/47.46  | 
% 241.36/47.46  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.46  |   (5)  e11 = e10
% 241.36/47.46  | 
% 241.36/47.46  | REDUCE: (3), (5) imply:
% 241.36/47.46  |   (6)  $false
% 241.36/47.46  | 
% 241.36/47.46  | CLOSE: (6) is inconsistent.
% 241.36/47.46  | 
% 241.36/47.46  End of proof
% 241.36/47.46  
% 241.36/47.46  Sub-proof #145 shows that the following formulas are inconsistent:
% 241.36/47.46  ----------------------------------------------------------------
% 241.36/47.46    (1)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 241.36/47.46             e10) = e12)
% 241.36/47.46    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.46           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.46    (3)   ~ (e13 = e12)
% 241.36/47.46    (4)  op1(e14, e10) = all_14_20
% 241.36/47.46    (5)   ~ (all_14_20 = e12)
% 241.36/47.46    (6)  op1(e13, e10) = e13
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | BETA: splitting (1) gives:
% 241.36/47.46  | 
% 241.36/47.46  | Case 1:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (7)  all_25_16 = e12 & op1(e14, e10) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1225.
% 241.36/47.46  | | 
% 241.36/47.46  | Case 2:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (8)  all_25_17 = e12 & op1(e13, e10) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | ALPHA: (8) implies:
% 241.36/47.46  | |   (9)  op1(e13, e10) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1332.
% 241.36/47.46  | | 
% 241.36/47.46  | End of split
% 241.36/47.46  | 
% 241.36/47.46  End of proof
% 241.36/47.46  
% 241.36/47.46  Sub-proof #146 shows that the following formulas are inconsistent:
% 241.36/47.46  ----------------------------------------------------------------
% 241.36/47.46    (1)   ~ (e14 = e10)
% 241.36/47.46    (2)  all_25_2 = e12
% 241.36/47.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.46    (4)  all_25_15 = e12
% 241.36/47.46    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.46    (6)   ~ (e12 = e11)
% 241.36/47.46    (7)   ~ (e14 = e11)
% 241.36/47.46    (8)   ~ (e13 = e10)
% 241.36/47.46    (9)   ~ (e14 = e13)
% 241.36/47.46    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.46    (11)   ~ (e13 = e11)
% 241.36/47.46    (12)  op1(e13, e12) = e10
% 241.36/47.46    (13)   ~ (e11 = e10)
% 241.36/47.46    (14)   ~ (e13 = e12)
% 241.36/47.46    (15)  op1(e13, e13) = e11
% 241.36/47.46    (16)   ~ (e12 = e10)
% 241.36/47.46    (17)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.36/47.46    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.46    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.46    (20)   ~ (e14 = e12)
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | ALPHA: (17) implies:
% 241.36/47.46  |   (21)  all_25_15 = e10
% 241.36/47.46  | 
% 241.36/47.46  | COMBINE_EQS: (4), (21) imply:
% 241.36/47.46  |   (22)  e12 = e10
% 241.36/47.46  | 
% 241.36/47.46  | COMBINE_EQS: (2), (22) imply:
% 241.36/47.46  |   (23)  all_25_2 = e10
% 241.36/47.46  | 
% 241.36/47.46  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.36/47.46  |            (15), (16), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.36/47.46  |            #1281.
% 241.36/47.46  | 
% 241.36/47.46  End of proof
% 241.36/47.46  
% 241.36/47.46  Sub-proof #147 shows that the following formulas are inconsistent:
% 241.36/47.46  ----------------------------------------------------------------
% 241.36/47.46    (1)   ~ (e14 = e10)
% 241.36/47.46    (2)  all_25_2 = e12
% 241.36/47.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.46    (4)  op1(e12, e10) = e11
% 241.36/47.46    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.46    (6)   ~ (e12 = e11)
% 241.36/47.46    (7)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12,
% 241.36/47.46             e10) = e12)
% 241.36/47.46    (8)   ~ (e14 = e11)
% 241.36/47.46    (9)   ~ (e13 = e10)
% 241.36/47.46    (10)   ~ (e14 = e13)
% 241.36/47.46    (11)  all_25_11 = e10
% 241.36/47.46    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.46    (13)   ~ (e13 = e11)
% 241.36/47.46    (14)  op1(e13, e12) = e10
% 241.36/47.46    (15)   ~ (e11 = e10)
% 241.36/47.46    (16)   ~ (e13 = e12)
% 241.36/47.46    (17)  op1(e13, e13) = e11
% 241.36/47.46    (18)   ~ (e12 = e10)
% 241.36/47.46    (19)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.46    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.46    (21)   ~ (e14 = e12)
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | BETA: splitting (7) gives:
% 241.36/47.46  | 
% 241.36/47.46  | Case 1:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (22)  all_25_11 = e12 & op1(e12, e11) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 241.36/47.46  | |            (15), (16), (17), (18), (19), (20), (21), (22) are inconsistent
% 241.36/47.46  | |            by sub-proof #943.
% 241.36/47.46  | | 
% 241.36/47.46  | Case 2:
% 241.36/47.46  | | 
% 241.36/47.46  | |   (23)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | ALPHA: (23) implies:
% 241.36/47.46  | |   (24)  op1(e12, e10) = e12
% 241.36/47.46  | | 
% 241.36/47.46  | | REF_CLOSE: (4), (6), (12), (24) are inconsistent by sub-proof #926.
% 241.36/47.46  | | 
% 241.36/47.46  | End of split
% 241.36/47.46  | 
% 241.36/47.46  End of proof
% 241.36/47.46  
% 241.36/47.46  Sub-proof #148 shows that the following formulas are inconsistent:
% 241.36/47.46  ----------------------------------------------------------------
% 241.36/47.46    (1)   ~ (e14 = e10)
% 241.36/47.46    (2)  all_25_2 = e12
% 241.36/47.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.46    (4)  all_25_1 = e12
% 241.36/47.46    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.46    (6)   ~ (e12 = e11)
% 241.36/47.46    (7)   ~ (e14 = e11)
% 241.36/47.46    (8)  all_25_3 = e11
% 241.36/47.46    (9)  op1(e10, e13) = e13
% 241.36/47.46    (10)   ~ (e13 = e10)
% 241.36/47.46    (11)   ~ (e14 = e13)
% 241.36/47.46    (12)  all_25_13 = e14
% 241.36/47.46    (13)  all_25_8 = e14
% 241.36/47.46    (14)  all_25_21 = e13
% 241.36/47.46    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.46    (16)   ~ (e13 = e11)
% 241.36/47.46    (17)  op1(e13, e12) = e10
% 241.36/47.46    (18)   ~ (e11 = e10)
% 241.36/47.46    (19)   ~ (e13 = e12)
% 241.36/47.46    (20)  op1(e13, e13) = e11
% 241.36/47.46    (21)   ~ (e12 = e10)
% 241.36/47.46    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.46    (23)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.36/47.46            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.36/47.46            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.36/47.46    (24)  all_25_8 = e12 & op1(e12, e12) = e12
% 241.36/47.46    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.46    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.46            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.46            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.46    (27)   ~ (e14 = e12)
% 241.36/47.46    (28)  all_25_17 = e13
% 241.36/47.46  
% 241.36/47.46  Begin of proof
% 241.36/47.46  | 
% 241.36/47.46  | ALPHA: (24) implies:
% 241.36/47.46  |   (29)  all_25_8 = e12
% 241.36/47.46  | 
% 241.36/47.46  | COMBINE_EQS: (13), (29) imply:
% 241.36/47.46  |   (30)  e14 = e12
% 241.36/47.46  | 
% 241.36/47.46  | COMBINE_EQS: (12), (30) imply:
% 241.36/47.46  |   (31)  all_25_13 = e12
% 241.36/47.46  | 
% 241.36/47.47  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 241.36/47.47  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25), (26),
% 241.36/47.47  |            (27), (28), (31) are inconsistent by sub-proof #471.
% 241.36/47.47  | 
% 241.36/47.47  End of proof
% 241.36/47.47  
% 241.36/47.47  Sub-proof #149 shows that the following formulas are inconsistent:
% 241.36/47.47  ----------------------------------------------------------------
% 241.36/47.47    (1)   ~ (e14 = e10)
% 241.36/47.47    (2)  all_25_2 = e12
% 241.36/47.47    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.47    (4)  all_25_1 = e12
% 241.36/47.47    (5)  all_25_18 = e14
% 241.36/47.47    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.47           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.47           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.47    (7)   ~ (e12 = e11)
% 241.36/47.47    (8)   ~ (e14 = e11)
% 241.36/47.47    (9)  all_25_3 = e11
% 241.36/47.47    (10)  op1(e10, e13) = e13
% 241.36/47.47    (11)   ~ (e13 = e10)
% 241.36/47.47    (12)   ~ (e14 = e13)
% 241.36/47.47    (13)  all_25_13 = e14
% 241.36/47.47    (14)  all_25_21 = e13
% 241.36/47.47    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.47    (16)   ~ (e13 = e11)
% 241.36/47.47    (17)  op1(e13, e12) = e10
% 241.36/47.47    (18)  all_25_18 = e12 & op1(e12, e10) = e12
% 241.36/47.47    (19)   ~ (e11 = e10)
% 241.36/47.47    (20)   ~ (e13 = e12)
% 241.36/47.47    (21)  op1(e13, e13) = e11
% 241.36/47.47    (22)   ~ (e12 = e10)
% 241.36/47.47    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.47    (24)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.36/47.47            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.36/47.47            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.36/47.47    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.47    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.47            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.47            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.47    (27)   ~ (e14 = e12)
% 241.36/47.47    (28)  all_25_17 = e13
% 241.36/47.47  
% 241.36/47.47  Begin of proof
% 241.36/47.47  | 
% 241.36/47.47  | ALPHA: (18) implies:
% 241.36/47.47  |   (29)  all_25_18 = e12
% 241.36/47.47  | 
% 241.36/47.47  | COMBINE_EQS: (5), (29) imply:
% 241.36/47.47  |   (30)  e14 = e12
% 241.36/47.47  | 
% 241.36/47.47  | COMBINE_EQS: (13), (30) imply:
% 241.36/47.47  |   (31)  all_25_13 = e12
% 241.36/47.47  | 
% 241.36/47.47  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 241.36/47.47  |            (15), (16), (17), (19), (20), (21), (22), (23), (24), (25), (26),
% 241.36/47.47  |            (27), (28), (31) are inconsistent by sub-proof #471.
% 241.36/47.47  | 
% 241.36/47.47  End of proof
% 241.36/47.47  
% 241.36/47.47  Sub-proof #150 shows that the following formulas are inconsistent:
% 241.36/47.47  ----------------------------------------------------------------
% 241.36/47.47    (1)   ~ (e14 = e10)
% 241.36/47.47    (2)  all_25_2 = e12
% 241.36/47.47    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.47    (4)  all_25_15 = e12
% 241.36/47.47    (5)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 241.36/47.47           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.36/47.47           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.36/47.47    (6)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 241.36/47.47           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 241.36/47.47           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 241.36/47.47    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.47           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.47           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.47    (8)   ~ (e12 = e11)
% 241.36/47.47    (9)  e12 = e11
% 241.36/47.47    (10)   ~ (e14 = e11)
% 241.36/47.47    (11)  all_25_3 = e11
% 241.36/47.47    (12)   ~ (e13 = e10)
% 241.36/47.47    (13)   ~ (e14 = e13)
% 241.36/47.47    (14)   ~ (all_14_15 = e12)
% 241.36/47.47    (15)  op1(e14, e11) = all_14_15
% 241.36/47.47    (16)  op1(e13, e11) = e14
% 241.36/47.47    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.47    (18)   ~ (e13 = e11)
% 241.36/47.47    (19)  op1(e13, e12) = e10
% 241.36/47.47    (20)  all_25_23 = e11
% 241.36/47.47    (21)   ~ (e11 = e10)
% 241.36/47.47    (22)  all_25_9 = e13
% 241.36/47.47    (23)   ~ (e13 = e12)
% 241.36/47.47    (24)  op1(e13, e13) = e11
% 241.36/47.47    (25)   ~ (e12 = e10)
% 241.36/47.47    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.47    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.47    (28)   ~ (e14 = e12)
% 241.36/47.47    (29)  all_25_17 = e13
% 241.36/47.47  
% 241.36/47.47  Begin of proof
% 241.36/47.47  | 
% 241.36/47.47  | COMBINE_EQS: (4), (9) imply:
% 241.36/47.47  |   (30)  all_25_15 = e11
% 241.36/47.47  | 
% 241.36/47.47  | BETA: splitting (5) gives:
% 241.36/47.47  | 
% 241.36/47.47  | Case 1:
% 241.36/47.47  | | 
% 241.36/47.47  | |   (31)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 241.36/47.47  | |             e11) = e10)
% 241.36/47.47  | | 
% 241.36/47.47  | | BETA: splitting (31) gives:
% 241.36/47.47  | | 
% 241.36/47.47  | | Case 1:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (32)  all_25_9 = e10 & op1(e14, e11) = e10
% 241.36/47.47  | | | 
% 241.36/47.47  | | | REF_CLOSE: (1), (2), (3), (10), (11), (12), (13), (17), (18), (19), (22),
% 241.36/47.47  | | |            (23), (24), (27), (28), (29), (32) are inconsistent by
% 241.36/47.47  | | |            sub-proof #972.
% 241.36/47.47  | | | 
% 241.36/47.47  | | Case 2:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (33)  all_25_10 = e10 & op1(e13, e11) = e10
% 241.36/47.47  | | | 
% 241.36/47.47  | | | REF_CLOSE: (1), (3), (8), (12), (13), (16), (17), (18), (19), (21), (23),
% 241.36/47.47  | | |            (24), (25), (26), (27), (28), (33) are inconsistent by
% 241.36/47.47  | | |            sub-proof #1092.
% 241.36/47.47  | | | 
% 241.36/47.47  | | End of split
% 241.36/47.47  | | 
% 241.36/47.47  | Case 2:
% 241.36/47.47  | | 
% 241.36/47.47  | |   (34)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 241.36/47.47  | |           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 241.36/47.47  | | 
% 241.36/47.47  | | BETA: splitting (34) gives:
% 241.36/47.47  | | 
% 241.36/47.47  | | Case 1:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (35)  all_25_11 = e10 & op1(e12, e11) = e10
% 241.36/47.47  | | | 
% 241.36/47.47  | | | ALPHA: (35) implies:
% 241.36/47.47  | | |   (36)  all_25_11 = e10
% 241.36/47.47  | | | 
% 241.36/47.47  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (12), (13), (14), (15),
% 241.36/47.47  | | |            (16), (17), (18), (19), (20), (21), (23), (24), (25), (26),
% 241.36/47.47  | | |            (27), (28), (30), (36) are inconsistent by sub-proof #152.
% 241.36/47.47  | | | 
% 241.36/47.47  | | Case 2:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (37)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 &
% 241.36/47.47  | | |           op1(e10, e11) = e10)
% 241.36/47.47  | | | 
% 241.36/47.47  | | | BETA: splitting (37) gives:
% 241.36/47.47  | | | 
% 241.36/47.47  | | | Case 1:
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | |   (38)  all_25_15 = e10 & op1(e11, e11) = e10
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | ALPHA: (38) implies:
% 241.36/47.47  | | | |   (39)  all_25_15 = e10
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | COMBINE_EQS: (30), (39) imply:
% 241.36/47.47  | | | |   (40)  e11 = e10
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | REDUCE: (21), (40) imply:
% 241.36/47.47  | | | |   (41)  $false
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | CLOSE: (41) is inconsistent.
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | Case 2:
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | |   (42)  all_25_23 = e10 & op1(e10, e11) = e10
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | ALPHA: (42) implies:
% 241.36/47.47  | | | |   (43)  all_25_23 = e10
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | REF_CLOSE: (20), (21), (43) are inconsistent by sub-proof #151.
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | End of split
% 241.36/47.47  | | | 
% 241.36/47.47  | | End of split
% 241.36/47.47  | | 
% 241.36/47.47  | End of split
% 241.36/47.47  | 
% 241.36/47.47  End of proof
% 241.36/47.47  
% 241.36/47.47  Sub-proof #151 shows that the following formulas are inconsistent:
% 241.36/47.47  ----------------------------------------------------------------
% 241.36/47.47    (1)  all_25_23 = e11
% 241.36/47.47    (2)  all_25_23 = e10
% 241.36/47.47    (3)   ~ (e11 = e10)
% 241.36/47.47  
% 241.36/47.47  Begin of proof
% 241.36/47.47  | 
% 241.36/47.47  | COMBINE_EQS: (1), (2) imply:
% 241.36/47.47  |   (4)  e11 = e10
% 241.36/47.47  | 
% 241.36/47.47  | SIMP: (4) implies:
% 241.36/47.47  |   (5)  e11 = e10
% 241.36/47.47  | 
% 241.36/47.47  | REDUCE: (3), (5) imply:
% 241.36/47.47  |   (6)  $false
% 241.36/47.47  | 
% 241.36/47.47  | CLOSE: (6) is inconsistent.
% 241.36/47.47  | 
% 241.36/47.47  End of proof
% 241.36/47.47  
% 241.36/47.47  Sub-proof #152 shows that the following formulas are inconsistent:
% 241.36/47.47  ----------------------------------------------------------------
% 241.36/47.47    (1)   ~ (e14 = e10)
% 241.36/47.47    (2)  all_25_2 = e12
% 241.36/47.47    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.47    (4)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 241.36/47.47           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 241.36/47.47           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 241.36/47.47    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.47           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.47           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.47    (6)   ~ (e12 = e11)
% 241.36/47.47    (7)   ~ (e14 = e11)
% 241.36/47.47    (8)   ~ (e13 = e10)
% 241.36/47.47    (9)   ~ (e14 = e13)
% 241.36/47.47    (10)   ~ (all_14_15 = e12)
% 241.36/47.47    (11)  op1(e14, e11) = all_14_15
% 241.36/47.47    (12)  op1(e13, e11) = e14
% 241.36/47.47    (13)  all_25_11 = e10
% 241.36/47.47    (14)  all_25_15 = e11
% 241.36/47.47    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.47    (16)   ~ (e13 = e11)
% 241.36/47.47    (17)  op1(e13, e12) = e10
% 241.36/47.47    (18)  all_25_23 = e11
% 241.36/47.47    (19)   ~ (e11 = e10)
% 241.36/47.47    (20)   ~ (e13 = e12)
% 241.36/47.47    (21)  op1(e13, e13) = e11
% 241.36/47.47    (22)   ~ (e12 = e10)
% 241.36/47.47    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.47    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.47    (25)   ~ (e14 = e12)
% 241.36/47.47  
% 241.36/47.47  Begin of proof
% 241.36/47.47  | 
% 241.36/47.47  | BETA: splitting (4) gives:
% 241.36/47.47  | 
% 241.36/47.47  | Case 1:
% 241.36/47.47  | | 
% 241.36/47.47  | |   (26)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 241.36/47.47  | |             e11) = e12)
% 241.36/47.47  | | 
% 241.36/47.47  | | REF_CLOSE: (10), (11), (12), (15), (25), (26) are inconsistent by sub-proof
% 241.36/47.47  | |            #1223.
% 241.36/47.47  | | 
% 241.36/47.47  | Case 2:
% 241.36/47.47  | | 
% 241.36/47.47  | |   (27)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 241.36/47.47  | |           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 241.36/47.47  | | 
% 241.36/47.47  | | BETA: splitting (27) gives:
% 241.36/47.47  | | 
% 241.36/47.47  | | Case 1:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (28)  all_25_11 = e12 & op1(e12, e11) = e12
% 241.36/47.47  | | | 
% 241.36/47.47  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (13), (15), (16), (17),
% 241.36/47.47  | | |            (19), (20), (21), (22), (23), (24), (25), (28) are inconsistent
% 241.36/47.47  | | |            by sub-proof #943.
% 241.36/47.47  | | | 
% 241.36/47.47  | | Case 2:
% 241.36/47.47  | | | 
% 241.36/47.47  | | |   (29)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 241.36/47.47  | | |           op1(e10, e11) = e12)
% 241.36/47.47  | | | 
% 241.36/47.47  | | | BETA: splitting (29) gives:
% 241.36/47.47  | | | 
% 241.36/47.47  | | | Case 1:
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | |   (30)  all_25_15 = e12 & op1(e11, e11) = e12
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | REF_CLOSE: (6), (14), (30) are inconsistent by sub-proof #985.
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | Case 2:
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | |   (31)  all_25_23 = e12 & op1(e10, e11) = e12
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | ALPHA: (31) implies:
% 241.36/47.47  | | | |   (32)  all_25_23 = e12
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | | REF_CLOSE: (6), (18), (32) are inconsistent by sub-proof #1262.
% 241.36/47.47  | | | | 
% 241.36/47.47  | | | End of split
% 241.36/47.47  | | | 
% 241.36/47.47  | | End of split
% 241.36/47.47  | | 
% 241.36/47.47  | End of split
% 241.36/47.47  | 
% 241.36/47.47  End of proof
% 241.36/47.47  
% 241.36/47.47  Sub-proof #153 shows that the following formulas are inconsistent:
% 241.36/47.47  ----------------------------------------------------------------
% 241.36/47.47    (1)   ~ (e14 = e10)
% 241.36/47.47    (2)  all_25_1 = e12
% 241.36/47.47    (3)   ~ (e14 = e11)
% 241.36/47.47    (4)  all_25_3 = e11
% 241.36/47.47    (5)  op1(e10, e13) = e13
% 241.36/47.47    (6)   ~ (e14 = e13)
% 241.36/47.47    (7)  all_25_13 = e14
% 241.36/47.47    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.47           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.47    (9)   ~ (e13 = e11)
% 241.36/47.47    (10)  all_25_9 = e13
% 241.36/47.47    (11)  all_25_7 = e10
% 241.36/47.47    (12)  all_25_10 = e14
% 241.36/47.47    (13)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 241.36/47.47              e11) = e11)
% 241.36/47.47    (14)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.47            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.47            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.48    (15)   ~ (e14 = e12)
% 241.36/47.48  
% 241.36/47.48  Begin of proof
% 241.36/47.48  | 
% 241.36/47.48  | BETA: splitting (13) gives:
% 241.36/47.48  | 
% 241.36/47.48  | Case 1:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (16)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (9), (10), (16) are inconsistent by sub-proof #967.
% 241.36/47.48  | | 
% 241.36/47.48  | Case 2:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (17)  all_25_10 = e11 & op1(e13, e11) = e11
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (17) implies:
% 241.36/47.48  | |   (18)  all_25_10 = e11
% 241.36/47.48  | | 
% 241.36/47.48  | | COMBINE_EQS: (12), (18) imply:
% 241.36/47.48  | |   (19)  e14 = e11
% 241.36/47.48  | | 
% 241.36/47.48  | | COMBINE_EQS: (7), (19) imply:
% 241.36/47.48  | |   (20)  all_25_13 = e11
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (11), (14), (15), (20) are
% 241.36/47.48  | |            inconsistent by sub-proof #1169.
% 241.36/47.48  | | 
% 241.36/47.48  | End of split
% 241.36/47.48  | 
% 241.36/47.48  End of proof
% 241.36/47.48  
% 241.36/47.48  Sub-proof #154 shows that the following formulas are inconsistent:
% 241.36/47.48  ----------------------------------------------------------------
% 241.36/47.48    (1)   ~ (e14 = e10)
% 241.36/47.48    (2)  all_25_2 = e12
% 241.36/47.48    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.48    (4)  all_25_1 = e12
% 241.36/47.48    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.48           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.48           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.48    (6)   ~ (e12 = e11)
% 241.36/47.48    (7)   ~ (e14 = e11)
% 241.36/47.48    (8)  all_25_3 = e11
% 241.36/47.48    (9)  op1(e10, e13) = e13
% 241.36/47.48    (10)   ~ (e13 = e10)
% 241.36/47.48    (11)   ~ (e14 = e13)
% 241.36/47.48    (12)  all_25_21 = e13
% 241.36/47.48    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.48            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.48    (14)   ~ (e13 = e11)
% 241.36/47.48    (15)  op1(e13, e12) = e10
% 241.36/47.48    (16)   ~ (all_14_3 = e12)
% 241.36/47.48    (17)   ~ (e11 = e10)
% 241.36/47.48    (18)   ~ (e13 = e12)
% 241.36/47.48    (19)  op1(e13, e13) = e11
% 241.36/47.48    (20)  op1(e11, e14) = all_14_3
% 241.36/47.48    (21)   ~ (e12 = e10)
% 241.36/47.48    (22)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 241.36/47.48              e13) = e12)
% 241.36/47.48    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.48            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.48            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.48    (24)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.36/47.48            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.36/47.48            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.36/47.48    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.48            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.48            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.48    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.48            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.48            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.48    (27)   ~ (e14 = e12)
% 241.36/47.48    (28)  all_25_17 = e13
% 241.36/47.48  
% 241.36/47.48  Begin of proof
% 241.36/47.48  | 
% 241.36/47.48  | BETA: splitting (22) gives:
% 241.36/47.48  | 
% 241.36/47.48  | Case 1:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (29)  all_25_12 = e12 & op1(e11, e14) = e12
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (29) implies:
% 241.36/47.48  | |   (30)  op1(e11, e14) = e12
% 241.36/47.48  | | 
% 241.36/47.48  | | GROUND_INST: instantiating (13) with all_14_3, e12, e14, e11, simplifying
% 241.36/47.48  | |              with (20), (30) gives:
% 241.36/47.48  | |   (31)  all_14_3 = e12
% 241.36/47.48  | | 
% 241.36/47.48  | | REDUCE: (16), (31) imply:
% 241.36/47.48  | |   (32)  $false
% 241.36/47.48  | | 
% 241.36/47.48  | | CLOSE: (32) is inconsistent.
% 241.36/47.48  | | 
% 241.36/47.48  | Case 2:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (33)  all_25_13 = e12 & op1(e11, e13) = e12
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (33) implies:
% 241.36/47.48  | |   (34)  all_25_13 = e12
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.36/47.48  | |            (13), (14), (15), (17), (18), (19), (21), (23), (24), (25), (26),
% 241.36/47.48  | |            (27), (28), (34) are inconsistent by sub-proof #471.
% 241.36/47.48  | | 
% 241.36/47.48  | End of split
% 241.36/47.48  | 
% 241.36/47.48  End of proof
% 241.36/47.48  
% 241.36/47.48  Sub-proof #155 shows that the following formulas are inconsistent:
% 241.36/47.48  ----------------------------------------------------------------
% 241.36/47.48    (1)   ~ (all_14_10 = e10)
% 241.36/47.48    (2)   ~ (e14 = e10)
% 241.36/47.48    (3)  all_25_2 = e12
% 241.36/47.48    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.48    (5)  all_25_1 = e12
% 241.36/47.48    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.48           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.48           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.48    (7)   ~ (e12 = e11)
% 241.36/47.48    (8)   ~ (e14 = e11)
% 241.36/47.48    (9)  all_25_3 = e11
% 241.36/47.48    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.36/47.48            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.36/47.48            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.36/47.48    (11)   ~ (e13 = e10)
% 241.36/47.48    (12)   ~ (e14 = e13)
% 241.36/47.48    (13)  op1(e14, e11) = all_14_15
% 241.36/47.48    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.36/47.48            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.36/47.48            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.48    (15)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13, e14)
% 241.36/47.48            = e13)
% 241.36/47.48    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.48            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.48    (17)   ~ (e13 = e11)
% 241.36/47.48    (18)  op1(e13, e12) = e10
% 241.36/47.48    (19)   ~ (e11 = e10)
% 241.36/47.48    (20)  all_25_9 = e13
% 241.36/47.48    (21)   ~ (e13 = e12)
% 241.36/47.48    (22)  op1(e13, e13) = e11
% 241.36/47.48    (23)   ~ (e12 = e10)
% 241.36/47.48    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.48            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.48            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.48    (25)   ~ (all_14_15 = e14)
% 241.36/47.48    (26)  op1(e14, e12) = all_14_10
% 241.36/47.48    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.48            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.48            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.48    (28)  op1(e13, e14) = e12
% 241.36/47.48    (29)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 241.36/47.48            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 241.36/47.48            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.36/47.48    (30)   ~ (e14 = e12)
% 241.36/47.48    (31)  all_25_17 = e13
% 241.36/47.48  
% 241.36/47.48  Begin of proof
% 241.36/47.48  | 
% 241.36/47.48  | BETA: splitting (15) gives:
% 241.36/47.48  | 
% 241.36/47.48  | Case 1:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (32)  all_25_0 = e13 & op1(e14, e14) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (32) implies:
% 241.36/47.48  | |   (33)  all_25_0 = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.36/47.48  | |            (13), (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 241.36/47.48  | |            (25), (26), (27), (29), (30), (31), (33) are inconsistent by
% 241.36/47.48  | |            sub-proof #157.
% 241.36/47.48  | | 
% 241.36/47.48  | Case 2:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (34)  all_25_2 = e13 & op1(e13, e14) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (34) implies:
% 241.36/47.48  | |   (35)  op1(e13, e14) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (16), (21), (28), (35) are inconsistent by sub-proof #1227.
% 241.36/47.48  | | 
% 241.36/47.48  | End of split
% 241.36/47.48  | 
% 241.36/47.48  End of proof
% 241.36/47.48  
% 241.36/47.48  Sub-proof #156 shows that the following formulas are inconsistent:
% 241.36/47.48  ----------------------------------------------------------------
% 241.36/47.48    (1)   ~ (all_14_10 = e10)
% 241.36/47.48    (2)   ~ (e14 = e10)
% 241.36/47.48    (3)  all_25_2 = e12
% 241.36/47.48    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.48    (5)  all_25_1 = e12
% 241.36/47.48    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.48           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.48           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.48    (7)   ~ (e12 = e11)
% 241.36/47.48    (8)   ~ (e14 = e11)
% 241.36/47.48    (9)  all_25_3 = e11
% 241.36/47.48    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.36/47.48            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.36/47.48            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.36/47.48    (11)   ~ (e13 = e10)
% 241.36/47.48    (12)   ~ (e14 = e13)
% 241.36/47.48    (13)  op1(e14, e11) = all_14_15
% 241.36/47.48    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.36/47.48            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.36/47.48            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.48    (15)  op1(e13, e11) = e14
% 241.36/47.48    (16)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13,
% 241.36/47.48              e11) = e13)
% 241.36/47.48    (17)  all_25_0 = e13
% 241.36/47.48    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.48            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.48    (19)   ~ (e13 = e11)
% 241.36/47.48    (20)  op1(e13, e12) = e10
% 241.36/47.48    (21)   ~ (e11 = e10)
% 241.36/47.48    (22)   ~ (e13 = e12)
% 241.36/47.48    (23)  op1(e13, e13) = e11
% 241.36/47.48    (24)   ~ (e12 = e10)
% 241.36/47.48    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.48            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.48            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.48    (26)   ~ (all_14_15 = e14)
% 241.36/47.48    (27)  op1(e14, e12) = all_14_10
% 241.36/47.48    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.48            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.48            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.48    (29)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 241.36/47.48            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 241.36/47.48            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.36/47.48    (30)   ~ (e14 = e12)
% 241.36/47.48    (31)  all_25_17 = e13
% 241.36/47.48  
% 241.36/47.48  Begin of proof
% 241.36/47.48  | 
% 241.36/47.48  | BETA: splitting (16) gives:
% 241.36/47.48  | 
% 241.36/47.48  | Case 1:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (32)  all_25_9 = e13 & op1(e14, e11) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (32) implies:
% 241.36/47.48  | |   (33)  all_25_9 = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.36/47.48  | |            (13), (14), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 241.36/47.48  | |            (26), (27), (28), (29), (30), (31), (33) are inconsistent by
% 241.36/47.48  | |            sub-proof #157.
% 241.36/47.48  | | 
% 241.36/47.48  | Case 2:
% 241.36/47.48  | | 
% 241.36/47.48  | |   (34)  all_25_10 = e13 & op1(e13, e11) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | ALPHA: (34) implies:
% 241.36/47.48  | |   (35)  op1(e13, e11) = e13
% 241.36/47.48  | | 
% 241.36/47.48  | | REF_CLOSE: (12), (15), (18), (35) are inconsistent by sub-proof #1333.
% 241.36/47.48  | | 
% 241.36/47.48  | End of split
% 241.36/47.48  | 
% 241.36/47.48  End of proof
% 241.36/47.48  
% 241.36/47.48  Sub-proof #157 shows that the following formulas are inconsistent:
% 241.36/47.48  ----------------------------------------------------------------
% 241.36/47.48    (1)   ~ (all_14_10 = e10)
% 241.36/47.48    (2)   ~ (e14 = e10)
% 241.36/47.48    (3)  all_25_2 = e12
% 241.36/47.48    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.48    (5)  all_25_1 = e12
% 241.36/47.48    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.48           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.48           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.48    (7)   ~ (e12 = e11)
% 241.36/47.48    (8)   ~ (e14 = e11)
% 241.36/47.48    (9)  all_25_3 = e11
% 241.36/47.49    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 241.36/47.49            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.36/47.49            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 241.36/47.49    (11)   ~ (e13 = e10)
% 241.36/47.49    (12)   ~ (e14 = e13)
% 241.36/47.49    (13)  op1(e14, e11) = all_14_15
% 241.36/47.49    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 241.36/47.49            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 241.36/47.49            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.49    (15)  all_25_0 = e13
% 241.36/47.49    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.49    (17)   ~ (e13 = e11)
% 241.36/47.49    (18)  op1(e13, e12) = e10
% 241.36/47.49    (19)   ~ (e11 = e10)
% 241.36/47.49    (20)  all_25_9 = e13
% 241.36/47.49    (21)   ~ (e13 = e12)
% 241.36/47.49    (22)  op1(e13, e13) = e11
% 241.36/47.49    (23)   ~ (e12 = e10)
% 241.36/47.49    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.49    (25)   ~ (all_14_15 = e14)
% 241.36/47.49    (26)  op1(e14, e12) = all_14_10
% 241.36/47.49    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.49    (28)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 241.36/47.49            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 241.36/47.49            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.36/47.49    (29)   ~ (e14 = e12)
% 241.36/47.49    (30)  all_25_17 = e13
% 241.36/47.49  
% 241.36/47.49  Begin of proof
% 241.36/47.49  | 
% 241.36/47.49  | BETA: splitting (14) gives:
% 241.36/47.49  | 
% 241.36/47.49  | Case 1:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (31)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 241.36/47.49  | |             e13) = e10)
% 241.36/47.49  | | 
% 241.36/47.49  | | BETA: splitting (31) gives:
% 241.36/47.49  | | 
% 241.36/47.49  | | Case 1:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (32)  all_25_0 = e10 & op1(e14, e14) = e10
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (2), (3), (4), (8), (9), (11), (12), (15), (16), (17), (18),
% 241.36/47.49  | | |            (21), (22), (27), (29), (30), (32) are inconsistent by
% 241.36/47.49  | | |            sub-proof #1246.
% 241.36/47.49  | | | 
% 241.36/47.49  | | Case 2:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (33)  all_25_1 = e10 & op1(e14, e13) = e10
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (11), (12), (16), (17),
% 241.36/47.49  | | |            (18), (19), (21), (22), (23), (24), (27), (29), (33) are
% 241.36/47.49  | | |            inconsistent by sub-proof #1280.
% 241.36/47.49  | | | 
% 241.36/47.49  | | End of split
% 241.36/47.49  | | 
% 241.36/47.49  | Case 2:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (34)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 241.36/47.49  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 241.36/47.49  | | 
% 241.36/47.49  | | BETA: splitting (34) gives:
% 241.36/47.49  | | 
% 241.36/47.49  | | Case 1:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (35)  all_25_4 = e10 & op1(e14, e12) = e10
% 241.36/47.49  | | | 
% 241.36/47.49  | | | ALPHA: (35) implies:
% 241.36/47.49  | | |   (36)  op1(e14, e12) = e10
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (1), (16), (26), (36) are inconsistent by sub-proof #973.
% 241.36/47.49  | | | 
% 241.36/47.49  | | Case 2:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (37)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 241.36/47.49  | | |           op1(e14, e10) = e10)
% 241.36/47.49  | | | 
% 241.36/47.49  | | | BETA: splitting (37) gives:
% 241.36/47.49  | | | 
% 241.36/47.49  | | | Case 1:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | |   (38)  all_25_9 = e10 & op1(e14, e11) = e10
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | REF_CLOSE: (2), (3), (4), (8), (9), (11), (12), (16), (17), (18), (20),
% 241.36/47.49  | | | |            (21), (22), (27), (29), (30), (38) are inconsistent by
% 241.36/47.49  | | | |            sub-proof #952.
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | Case 2:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | |   (39)  all_25_16 = e10 & op1(e14, e10) = e10
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | ALPHA: (39) implies:
% 241.36/47.49  | | | |   (40)  all_25_16 = e10
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | BETA: splitting (10) gives:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | Case 1:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | |   (41)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 241.36/47.49  | | | | |           op1(e14, e13) = e11)
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | BETA: splitting (41) gives:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | Case 1:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (42)  all_25_0 = e11 & op1(e14, e14) = e11
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | REF_CLOSE: (15), (17), (42) are inconsistent by sub-proof #1241.
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | Case 2:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (43)  all_25_1 = e11 & op1(e14, e13) = e11
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | REF_CLOSE: (5), (7), (43) are inconsistent by sub-proof #1240.
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | End of split
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | Case 2:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | |   (44)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 241.36/47.49  | | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 241.36/47.49  | | | | |           e11)
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | BETA: splitting (44) gives:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | Case 1:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (45)  all_25_4 = e11 & op1(e14, e12) = e11
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | ALPHA: (45) implies:
% 241.36/47.49  | | | | | |   (46)  all_25_4 = e11
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | REF_CLOSE: (2), (5), (8), (12), (13), (15), (16), (25), (28), (29),
% 241.36/47.49  | | | | | |            (40), (46) are inconsistent by sub-proof #158.
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | Case 2:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (47)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 241.36/47.49  | | | | | |           op1(e14, e10) = e11)
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | BETA: splitting (47) gives:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | Case 1:
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | |   (48)  all_25_9 = e11 & op1(e14, e11) = e11
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | REF_CLOSE: (17), (20), (48) are inconsistent by sub-proof #967.
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | Case 2:
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | |   (49)  all_25_16 = e11 & op1(e14, e10) = e11
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | ALPHA: (49) implies:
% 241.36/47.49  | | | | | | |   (50)  all_25_16 = e11
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | COMBINE_EQS: (40), (50) imply:
% 241.36/47.49  | | | | | | |   (51)  e11 = e10
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | SIMP: (51) implies:
% 241.36/47.49  | | | | | | |   (52)  e11 = e10
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | REDUCE: (19), (52) imply:
% 241.36/47.49  | | | | | | |   (53)  $false
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | CLOSE: (53) is inconsistent.
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | End of split
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | End of split
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | End of split
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | End of split
% 241.36/47.49  | | | 
% 241.36/47.49  | | End of split
% 241.36/47.49  | | 
% 241.36/47.49  | End of split
% 241.36/47.49  | 
% 241.36/47.49  End of proof
% 241.36/47.49  
% 241.36/47.49  Sub-proof #158 shows that the following formulas are inconsistent:
% 241.36/47.49  ----------------------------------------------------------------
% 241.36/47.49    (1)  all_25_16 = e10
% 241.36/47.49    (2)   ~ (e14 = e10)
% 241.36/47.49    (3)  all_25_1 = e12
% 241.36/47.49    (4)   ~ (e14 = e11)
% 241.36/47.49    (5)   ~ (e14 = e13)
% 241.36/47.49    (6)  op1(e14, e11) = all_14_15
% 241.36/47.49    (7)  all_25_4 = e11
% 241.36/47.49    (8)  all_25_0 = e13
% 241.36/47.49    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.49    (10)   ~ (all_14_15 = e14)
% 241.36/47.49    (11)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 241.36/47.49            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 241.36/47.49            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.36/47.49    (12)   ~ (e14 = e12)
% 241.36/47.49  
% 241.36/47.49  Begin of proof
% 241.36/47.49  | 
% 241.36/47.49  | BETA: splitting (11) gives:
% 241.36/47.49  | 
% 241.36/47.49  | Case 1:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 241.36/47.49  | |             e13) = e14)
% 241.36/47.49  | | 
% 241.36/47.49  | | REF_CLOSE: (3), (5), (8), (12), (13) are inconsistent by sub-proof #1237.
% 241.36/47.49  | | 
% 241.36/47.49  | Case 2:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (14)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 241.36/47.49  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 241.36/47.49  | | 
% 241.36/47.49  | | BETA: splitting (14) gives:
% 241.36/47.49  | | 
% 241.36/47.49  | | Case 1:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (15)  all_25_4 = e14 & op1(e14, e12) = e14
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (4), (7), (15) are inconsistent by sub-proof #453.
% 241.36/47.49  | | | 
% 241.36/47.49  | | Case 2:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (16)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 241.36/47.49  | | |           op1(e14, e10) = e14)
% 241.36/47.49  | | | 
% 241.36/47.49  | | | BETA: splitting (16) gives:
% 241.36/47.49  | | | 
% 241.36/47.49  | | | Case 1:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | |   (17)  all_25_9 = e14 & op1(e14, e11) = e14
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | REF_CLOSE: (6), (9), (10), (17) are inconsistent by sub-proof #1340.
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | Case 2:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | |   (18)  all_25_16 = e14 & op1(e14, e10) = e14
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | ALPHA: (18) implies:
% 241.36/47.49  | | | |   (19)  all_25_16 = e14
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | COMBINE_EQS: (1), (19) imply:
% 241.36/47.49  | | | |   (20)  e14 = e10
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | SIMP: (20) implies:
% 241.36/47.49  | | | |   (21)  e14 = e10
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | REDUCE: (2), (21) imply:
% 241.36/47.49  | | | |   (22)  $false
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | CLOSE: (22) is inconsistent.
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | End of split
% 241.36/47.49  | | | 
% 241.36/47.49  | | End of split
% 241.36/47.49  | | 
% 241.36/47.49  | End of split
% 241.36/47.49  | 
% 241.36/47.49  End of proof
% 241.36/47.49  
% 241.36/47.49  Sub-proof #159 shows that the following formulas are inconsistent:
% 241.36/47.49  ----------------------------------------------------------------
% 241.36/47.49    (1)  all_25_7 = e14 & op1(e12, e13) = e14
% 241.36/47.49    (2)  all_25_7 = e10
% 241.36/47.49    (3)   ~ (e14 = e10)
% 241.36/47.49  
% 241.36/47.49  Begin of proof
% 241.36/47.49  | 
% 241.36/47.49  | ALPHA: (1) implies:
% 241.36/47.49  |   (4)  all_25_7 = e14
% 241.36/47.49  | 
% 241.36/47.49  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.49  |   (5)  e14 = e10
% 241.36/47.49  | 
% 241.36/47.49  | REDUCE: (3), (5) imply:
% 241.36/47.49  |   (6)  $false
% 241.36/47.49  | 
% 241.36/47.49  | CLOSE: (6) is inconsistent.
% 241.36/47.49  | 
% 241.36/47.49  End of proof
% 241.36/47.49  
% 241.36/47.49  Sub-proof #160 shows that the following formulas are inconsistent:
% 241.36/47.49  ----------------------------------------------------------------
% 241.36/47.49    (1)   ~ (e14 = e10)
% 241.36/47.49    (2)  op1(e10, e13) = all_14_9
% 241.36/47.49    (3)  all_25_2 = e12
% 241.36/47.49    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.36/47.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.36/47.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.36/47.49    (5)  all_25_1 = e12
% 241.36/47.49    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.36/47.49           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.36/47.49           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.36/47.49    (7)   ~ (e12 = e11)
% 241.36/47.49    (8)   ~ (e14 = e11)
% 241.36/47.49    (9)  all_25_3 = e11
% 241.36/47.49    (10)   ~ (e13 = e10)
% 241.36/47.49    (11)   ~ (e14 = e13)
% 241.36/47.49    (12)  op1(e13, unit1) = e13
% 241.36/47.49    (13)  all_25_7 = e13
% 241.36/47.49    (14)  op1(e13, e11) = e14
% 241.36/47.49    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.49    (16)   ~ (e13 = e11)
% 241.36/47.49    (17)  op1(e13, e12) = e10
% 241.36/47.49    (18)   ~ (e11 = e10)
% 241.36/47.49    (19)  op1(unit1, e13) = e13
% 241.36/47.49    (20)   ~ (e13 = e12)
% 241.36/47.49    (21)  op1(e13, e13) = e11
% 241.36/47.49    (22)   ~ (e12 = e10)
% 241.36/47.49    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.36/47.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.36/47.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.36/47.49    (24)  op1(e10, unit1) = e10
% 241.36/47.49    (25)   ~ (all_14_9 = all_14_19)
% 241.36/47.49    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.49    (27)   ~ (all_14_9 = e13)
% 241.36/47.49    (28)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.36/47.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.36/47.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.36/47.49    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.36/47.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.36/47.49    (30)  op1(e10, e11) = all_14_19
% 241.36/47.49    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.36/47.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.36/47.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.49    (32)  op1(e13, e14) = e12
% 241.36/47.49    (33)   ~ (e14 = e12)
% 241.36/47.49    (34)  all_25_17 = e13
% 241.36/47.49  
% 241.36/47.49  Begin of proof
% 241.36/47.49  | 
% 241.36/47.49  | BETA: splitting (31) gives:
% 241.36/47.49  | 
% 241.36/47.49  | Case 1:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 241.36/47.49  | |             e13) = e14)
% 241.36/47.49  | | 
% 241.36/47.49  | | BETA: splitting (35) gives:
% 241.36/47.49  | | 
% 241.36/47.49  | | Case 1:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (36)  all_25_1 = e14 & op1(e14, e13) = e14
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (5), (33), (36) are inconsistent by sub-proof #1292.
% 241.36/47.49  | | | 
% 241.36/47.49  | | Case 2:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (37)  all_25_3 = e14 & op1(e13, e13) = e14
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (8), (9), (37) are inconsistent by sub-proof #1291.
% 241.36/47.49  | | | 
% 241.36/47.49  | | End of split
% 241.36/47.49  | | 
% 241.36/47.49  | Case 2:
% 241.36/47.49  | | 
% 241.36/47.49  | |   (38)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 241.36/47.49  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.36/47.49  | | 
% 241.36/47.49  | | BETA: splitting (38) gives:
% 241.36/47.49  | | 
% 241.36/47.49  | | Case 1:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (39)  all_25_7 = e14 & op1(e12, e13) = e14
% 241.36/47.49  | | | 
% 241.36/47.49  | | | REF_CLOSE: (11), (13), (39) are inconsistent by sub-proof #1290.
% 241.36/47.49  | | | 
% 241.36/47.49  | | Case 2:
% 241.36/47.49  | | | 
% 241.36/47.49  | | |   (40)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 241.36/47.49  | | |           op1(e10, e13) = e14)
% 241.36/47.49  | | | 
% 241.36/47.49  | | | BETA: splitting (40) gives:
% 241.36/47.49  | | | 
% 241.36/47.49  | | | Case 1:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | |   (41)  all_25_13 = e14 & op1(e11, e13) = e14
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | ALPHA: (41) implies:
% 241.36/47.49  | | | |   (42)  all_25_13 = e14
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | BETA: splitting (28) gives:
% 241.36/47.49  | | | | 
% 241.36/47.49  | | | | Case 1:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | |   (43)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 241.36/47.49  | | | | |           op1(e13, e13) = e10)
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (15), (16),
% 241.36/47.49  | | | | |            (17), (18), (20), (21), (22), (23), (29), (33), (43) are
% 241.36/47.49  | | | | |            inconsistent by sub-proof #1279.
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | Case 2:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | |   (44)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.36/47.49  | | | | |           op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) =
% 241.36/47.49  | | | | |           e10)
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | BETA: splitting (44) gives:
% 241.36/47.49  | | | | | 
% 241.36/47.49  | | | | | Case 1:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (45)  all_25_7 = e10 & op1(e12, e13) = e10
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | REF_CLOSE: (1), (3), (4), (8), (9), (10), (11), (13), (15), (16),
% 241.36/47.49  | | | | | |            (17), (20), (21), (29), (33), (34), (45) are inconsistent
% 241.36/47.49  | | | | | |            by sub-proof #1276.
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | Case 2:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | |   (46)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 241.36/47.49  | | | | | |           op1(e10, e13) = e10)
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | BETA: splitting (46) gives:
% 241.36/47.49  | | | | | | 
% 241.36/47.49  | | | | | | Case 1:
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | |   (47)  all_25_13 = e10 & op1(e11, e13) = e10
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | | REF_CLOSE: (1), (42), (47) are inconsistent by sub-proof #1159.
% 241.36/47.49  | | | | | | | 
% 241.36/47.49  | | | | | | Case 2:
% 241.36/47.49  | | | | | | | 
% 241.36/47.50  | | | | | | |   (48)  all_25_21 = e10 & op1(e10, e13) = e10
% 241.36/47.50  | | | | | | | 
% 241.36/47.50  | | | | | | | REF_CLOSE: (2), (12), (15), (17), (19), (20), (24), (25), (26),
% 241.36/47.50  | | | | | | |            (27), (30), (32), (48) are inconsistent by sub-proof
% 241.36/47.50  | | | | | | |            #162.
% 241.36/47.50  | | | | | | | 
% 241.36/47.50  | | | | | | End of split
% 241.36/47.50  | | | | | | 
% 241.36/47.50  | | | | | End of split
% 241.36/47.50  | | | | | 
% 241.36/47.50  | | | | End of split
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | Case 2:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (49)  all_25_21 = e14 & op1(e10, e13) = e14
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (10), (11), (12), (14), (15), (17), (19), (20), (26), (32),
% 241.36/47.50  | | | |            (49) are inconsistent by sub-proof #161.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | End of split
% 241.36/47.50  | | | 
% 241.36/47.50  | | End of split
% 241.36/47.50  | | 
% 241.36/47.50  | End of split
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #161 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)   ~ (e13 = e10)
% 241.36/47.50    (2)   ~ (e14 = e13)
% 241.36/47.50    (3)  op1(e13, unit1) = e13
% 241.36/47.50    (4)  op1(e13, e11) = e14
% 241.36/47.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.50    (6)  op1(e13, e12) = e10
% 241.36/47.50    (7)  all_25_21 = e14 & op1(e10, e13) = e14
% 241.36/47.50    (8)  op1(unit1, e13) = e13
% 241.36/47.50    (9)   ~ (e13 = e12)
% 241.36/47.50    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50    (11)  op1(e13, e14) = e12
% 241.36/47.50  
% 241.36/47.50  Begin of proof
% 241.36/47.50  | 
% 241.36/47.50  | ALPHA: (7) implies:
% 241.36/47.50  |   (12)  op1(e10, e13) = e14
% 241.36/47.50  | 
% 241.36/47.50  | BETA: splitting (10) gives:
% 241.36/47.50  | 
% 241.36/47.50  | Case 1:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (13)  unit1 = e14
% 241.36/47.50  | | 
% 241.36/47.50  | | REDUCE: (3), (13) imply:
% 241.36/47.50  | |   (14)  op1(e13, e14) = e13
% 241.36/47.50  | | 
% 241.36/47.50  | | REF_CLOSE: (5), (9), (11), (14) are inconsistent by sub-proof #1227.
% 241.36/47.50  | | 
% 241.36/47.50  | Case 2:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (15)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50  | | 
% 241.36/47.50  | | BETA: splitting (15) gives:
% 241.36/47.50  | | 
% 241.36/47.50  | | Case 1:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (16)  unit1 = e12
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REDUCE: (3), (16) imply:
% 241.36/47.50  | | |   (17)  op1(e13, e12) = e13
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REF_CLOSE: (1), (5), (6), (17) are inconsistent by sub-proof #1334.
% 241.36/47.50  | | | 
% 241.36/47.50  | | Case 2:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (18)  unit1 = e11 | unit1 = e10
% 241.36/47.50  | | | 
% 241.36/47.50  | | | BETA: splitting (18) gives:
% 241.36/47.50  | | | 
% 241.36/47.50  | | | Case 1:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (19)  unit1 = e11
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (3), (19) imply:
% 241.36/47.50  | | | |   (20)  op1(e13, e11) = e13
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (2), (4), (5), (20) are inconsistent by sub-proof #1333.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | Case 2:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (21)  unit1 = e10
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (8), (21) imply:
% 241.36/47.50  | | | |   (22)  op1(e10, e13) = e13
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (2), (5), (12), (22) are inconsistent by sub-proof #1274.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | End of split
% 241.36/47.50  | | | 
% 241.36/47.50  | | End of split
% 241.36/47.50  | | 
% 241.36/47.50  | End of split
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #162 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)  op1(e10, e13) = all_14_9
% 241.36/47.50    (2)  op1(e13, unit1) = e13
% 241.36/47.50    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.50    (4)  op1(e13, e12) = e10
% 241.36/47.50    (5)  op1(unit1, e13) = e13
% 241.36/47.50    (6)   ~ (e13 = e12)
% 241.36/47.50    (7)  all_25_21 = e10 & op1(e10, e13) = e10
% 241.36/47.50    (8)  op1(e10, unit1) = e10
% 241.36/47.50    (9)   ~ (all_14_9 = all_14_19)
% 241.36/47.50    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50    (11)   ~ (all_14_9 = e13)
% 241.36/47.50    (12)  op1(e10, e11) = all_14_19
% 241.36/47.50    (13)  op1(e13, e14) = e12
% 241.36/47.50  
% 241.36/47.50  Begin of proof
% 241.36/47.50  | 
% 241.36/47.50  | ALPHA: (7) implies:
% 241.36/47.50  |   (14)  op1(e10, e13) = e10
% 241.36/47.50  | 
% 241.36/47.50  | GROUND_INST: instantiating (3) with all_14_9, e10, e13, e10, simplifying with
% 241.36/47.50  |              (1), (14) gives:
% 241.36/47.50  |   (15)  all_14_9 = e10
% 241.36/47.50  | 
% 241.36/47.50  | REDUCE: (9), (15) imply:
% 241.36/47.50  |   (16)   ~ (all_14_19 = e10)
% 241.36/47.50  | 
% 241.36/47.50  | SIMP: (16) implies:
% 241.36/47.50  |   (17)   ~ (all_14_19 = e10)
% 241.36/47.50  | 
% 241.36/47.50  | REDUCE: (11), (15) imply:
% 241.36/47.50  |   (18)   ~ (e13 = e10)
% 241.36/47.50  | 
% 241.36/47.50  | SIMP: (18) implies:
% 241.36/47.50  |   (19)   ~ (e13 = e10)
% 241.36/47.50  | 
% 241.36/47.50  | BETA: splitting (10) gives:
% 241.36/47.50  | 
% 241.36/47.50  | Case 1:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (20)  unit1 = e14
% 241.36/47.50  | | 
% 241.36/47.50  | | REDUCE: (2), (20) imply:
% 241.36/47.50  | |   (21)  op1(e13, e14) = e13
% 241.36/47.50  | | 
% 241.36/47.50  | | REF_CLOSE: (3), (6), (13), (21) are inconsistent by sub-proof #1227.
% 241.36/47.50  | | 
% 241.36/47.50  | Case 2:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (22)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50  | | 
% 241.36/47.50  | | BETA: splitting (22) gives:
% 241.36/47.50  | | 
% 241.36/47.50  | | Case 1:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (23)  unit1 = e12
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REDUCE: (2), (23) imply:
% 241.36/47.50  | | |   (24)  op1(e13, e12) = e13
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REF_CLOSE: (3), (4), (19), (24) are inconsistent by sub-proof #1334.
% 241.36/47.50  | | | 
% 241.36/47.50  | | Case 2:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (25)  unit1 = e11 | unit1 = e10
% 241.36/47.50  | | | 
% 241.36/47.50  | | | BETA: splitting (25) gives:
% 241.36/47.50  | | | 
% 241.36/47.50  | | | Case 1:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (26)  unit1 = e11
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (8), (26) imply:
% 241.36/47.50  | | | |   (27)  op1(e10, e11) = e10
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (3), (12), (17), (27) are inconsistent by sub-proof #1267.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | Case 2:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (28)  unit1 = e10
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (5), (28) imply:
% 241.36/47.50  | | | |   (29)  op1(e10, e13) = e13
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (1), (3), (11), (29) are inconsistent by sub-proof #163.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | End of split
% 241.36/47.50  | | | 
% 241.36/47.50  | | End of split
% 241.36/47.50  | | 
% 241.36/47.50  | End of split
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #163 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.50    (2)  op1(e10, e13) = all_14_9
% 241.36/47.50    (3)  op1(e10, e13) = e13
% 241.36/47.50    (4)   ~ (all_14_9 = e13)
% 241.36/47.50  
% 241.36/47.50  Begin of proof
% 241.36/47.50  | 
% 241.36/47.50  | GROUND_INST: instantiating (1) with all_14_9, e13, e13, e10, simplifying with
% 241.36/47.50  |              (2), (3) gives:
% 241.36/47.50  |   (5)  all_14_9 = e13
% 241.36/47.50  | 
% 241.36/47.50  | REDUCE: (4), (5) imply:
% 241.36/47.50  |   (6)  $false
% 241.36/47.50  | 
% 241.36/47.50  | CLOSE: (6) is inconsistent.
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #164 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)   ~ (e13 = e10)
% 241.36/47.50    (2)   ~ (e14 = e13)
% 241.36/47.50    (3)  op1(e13, unit1) = e13
% 241.36/47.50    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.36/47.50    (5)  op1(e13, e12) = e10
% 241.36/47.50    (6)  op1(unit1, e13) = e13
% 241.36/47.50    (7)   ~ (e13 = e12)
% 241.36/47.50    (8)  op1(e10, e13) = e14
% 241.36/47.50    (9)  op1(e10, unit1) = e10
% 241.36/47.50    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50    (11)   ~ (all_14_19 = e10)
% 241.36/47.50    (12)  op1(e10, e11) = all_14_19
% 241.36/47.50    (13)  op1(e13, e14) = e12
% 241.36/47.50  
% 241.36/47.50  Begin of proof
% 241.36/47.50  | 
% 241.36/47.50  | BETA: splitting (10) gives:
% 241.36/47.50  | 
% 241.36/47.50  | Case 1:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (14)  unit1 = e14
% 241.36/47.50  | | 
% 241.36/47.50  | | REDUCE: (3), (14) imply:
% 241.36/47.50  | |   (15)  op1(e13, e14) = e13
% 241.36/47.50  | | 
% 241.36/47.50  | | REF_CLOSE: (4), (7), (13), (15) are inconsistent by sub-proof #1227.
% 241.36/47.50  | | 
% 241.36/47.50  | Case 2:
% 241.36/47.50  | | 
% 241.36/47.50  | |   (16)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 241.36/47.50  | | 
% 241.36/47.50  | | BETA: splitting (16) gives:
% 241.36/47.50  | | 
% 241.36/47.50  | | Case 1:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (17)  unit1 = e12
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REDUCE: (3), (17) imply:
% 241.36/47.50  | | |   (18)  op1(e13, e12) = e13
% 241.36/47.50  | | | 
% 241.36/47.50  | | | REF_CLOSE: (1), (4), (5), (18) are inconsistent by sub-proof #1334.
% 241.36/47.50  | | | 
% 241.36/47.50  | | Case 2:
% 241.36/47.50  | | | 
% 241.36/47.50  | | |   (19)  unit1 = e11 | unit1 = e10
% 241.36/47.50  | | | 
% 241.36/47.50  | | | BETA: splitting (19) gives:
% 241.36/47.50  | | | 
% 241.36/47.50  | | | Case 1:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (20)  unit1 = e11
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (9), (20) imply:
% 241.36/47.50  | | | |   (21)  op1(e10, e11) = e10
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (4), (11), (12), (21) are inconsistent by sub-proof #1267.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | Case 2:
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | |   (22)  unit1 = e10
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REDUCE: (6), (22) imply:
% 241.36/47.50  | | | |   (23)  op1(e10, e13) = e13
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | | REF_CLOSE: (2), (4), (8), (23) are inconsistent by sub-proof #1274.
% 241.36/47.50  | | | | 
% 241.36/47.50  | | | End of split
% 241.36/47.50  | | | 
% 241.36/47.50  | | End of split
% 241.36/47.50  | | 
% 241.36/47.50  | End of split
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #165 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)  all_24_14 = e22 & op2(e21, e22) = e22
% 241.36/47.50    (2)  all_24_14 = e23
% 241.36/47.50    (3)   ~ (e23 = e22)
% 241.36/47.50  
% 241.36/47.50  Begin of proof
% 241.36/47.50  | 
% 241.36/47.50  | ALPHA: (1) implies:
% 241.36/47.50  |   (4)  all_24_14 = e22
% 241.36/47.50  | 
% 241.36/47.50  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.50  |   (5)  e23 = e22
% 241.36/47.50  | 
% 241.36/47.50  | REDUCE: (3), (5) imply:
% 241.36/47.50  |   (6)  $false
% 241.36/47.50  | 
% 241.36/47.50  | CLOSE: (6) is inconsistent.
% 241.36/47.50  | 
% 241.36/47.50  End of proof
% 241.36/47.50  
% 241.36/47.50  Sub-proof #166 shows that the following formulas are inconsistent:
% 241.36/47.50  ----------------------------------------------------------------
% 241.36/47.50    (1)  op2(e24, e22) = all_16_10
% 241.36/47.50    (2)  all_24_7 = e20
% 241.36/47.50    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 241.36/47.50           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 241.36/47.50           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 241.36/47.50    (4)   ~ (all_16_10 = e20)
% 241.36/47.50    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 241.36/47.50           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 241.36/47.50           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 241.36/47.50    (6)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 241.36/47.50           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 241.36/47.50           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 241.36/47.50    (7)  op2(e23, unit2) = e23
% 241.36/47.50    (8)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 241.36/47.50             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 241.36/47.50           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 241.36/47.50    (9)   ~ (unit2 = e23)
% 241.36/47.50    (10)   ~ (e24 = e20)
% 241.36/47.50    (11)  all_24_2 = e23
% 241.36/47.50    (12)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.36/47.50              e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.36/47.50            e20 & op2(e21, e20) = e20)
% 241.36/47.50    (13)   ~ (e23 = e21)
% 241.36/47.50    (14)  op2(e23, e21) = e24
% 241.36/47.50    (15)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.36/47.50            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.36/47.50            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.36/47.50    (16)  all_24_14 = e23
% 241.36/47.50    (17)  op2(e23, e23) = e21
% 241.36/47.50    (18)   ~ (e23 = e22)
% 241.36/47.50    (19)   ~ (e22 = e20)
% 241.36/47.50    (20)  op2(e21, e23) = all_16_8
% 241.36/47.50    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.50            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.36/47.50    (22)  op2(unit2, e20) = e20
% 241.36/47.50    (23)  all_24_12 = e22
% 241.36/47.50    (24)  all_24_23 = e22
% 241.36/47.50    (25)  all_24_21 = e23
% 241.36/47.50    (26)   ~ (e23 = e20)
% 241.36/47.50    (27)  all_24_9 = e23
% 241.36/47.50    (28)   ~ (all_16_7 = e23)
% 241.36/47.50    (29)  op2(e24, e23) = e22
% 241.36/47.50    (30)   ~ (all_16_10 = e22)
% 241.36/47.50    (31)   ~ (e24 = e21)
% 241.36/47.50    (32)  op2(e20, e22) = all_16_14
% 241.36/47.50    (33)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 241.36/47.50              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 241.36/47.50            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 241.36/47.50    (34)   ~ (e22 = e21)
% 241.36/47.50    (35)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 241.36/47.50            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 241.36/47.50            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.36/47.50    (36)  all_24_11 = e21
% 241.36/47.50    (37)  op2(e24, unit2) = e24
% 241.36/47.50    (38)  all_24_8 = e22
% 241.36/47.50    (39)  op2(e23, e22) = e20
% 241.36/47.50    (40)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 241.36/47.50              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 241.36/47.50            e20 & op2(e20, e21) = e20)
% 241.36/47.50    (41)  all_24_13 = e24
% 241.36/47.50    (42)   ~ (all_16_14 = e20)
% 241.36/47.50    (43)  all_24_1 = e22
% 241.36/47.50    (44)  all_24_18 = e23
% 241.36/47.50    (45)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.36/47.50    (46)  all_24_6 = e24
% 241.36/47.50    (47)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.50            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.36/47.50            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.36/47.50    (48)   ~ (all_16_8 = e23)
% 241.36/47.50    (49)  op2(e22, e23) = all_16_7
% 241.36/47.50    (50)  op2(unit2, e22) = e22
% 241.36/47.50    (51)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 241.36/47.50              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 241.36/47.50            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.36/47.50    (52)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.36/47.50            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.36/47.50            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.36/47.50    (53)   ~ (e21 = e20)
% 241.36/47.50    (54)   ~ (e24 = e22)
% 241.36/47.50    (55)   ~ (e24 = e23)
% 241.36/47.50    (56)  op2(e23, e21) = all_10_1
% 241.36/47.50    (57)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.50            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.36/47.50            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.36/47.51    (58)  op2(e21, unit2) = e21
% 241.36/47.51    (59)  all_24_17 = e22
% 241.36/47.51    (60)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.51            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.36/47.51            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.36/47.51    (61)  all_24_5 = e20
% 241.36/47.51    (62)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.36/47.51            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.36/47.51            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.36/47.51    (63)  all_24_3 = e21
% 241.36/47.51    (64)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.51            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.36/47.51            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.36/47.51  
% 241.36/47.51  Begin of proof
% 241.36/47.51  | 
% 241.36/47.51  | BETA: splitting (8) gives:
% 241.36/47.51  | 
% 241.36/47.51  | Case 1:
% 241.36/47.51  | | 
% 241.36/47.51  | |   (65)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 241.36/47.51  | |           op2(e21, e23) = e21)
% 241.36/47.51  | | 
% 241.36/47.51  | | BETA: splitting (65) gives:
% 241.36/47.51  | | 
% 241.36/47.51  | | Case 1:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (66)  all_24_12 = e21 & op2(e21, e24) = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | ALPHA: (66) implies:
% 241.36/47.51  | | |   (67)  all_24_12 = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | COMBINE_EQS: (23), (67) imply:
% 241.36/47.51  | | |   (68)  e22 = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | COMBINE_EQS: (38), (68) imply:
% 241.36/47.51  | | |   (69)  all_24_8 = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (13), (14),
% 241.36/47.51  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25),
% 241.36/47.51  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 241.36/47.51  | | |            (37), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 241.36/47.51  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 241.36/47.51  | | |            (58), (59), (60), (61), (62), (63), (64), (69) are inconsistent
% 241.36/47.51  | | |            by sub-proof #167.
% 241.36/47.51  | | | 
% 241.36/47.51  | | Case 2:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (70)  all_24_13 = e21 & op2(e21, e23) = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | ALPHA: (70) implies:
% 241.36/47.51  | | |   (71)  all_24_13 = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | REF_CLOSE: (2), (10), (13), (17), (18), (20), (21), (28), (29), (31),
% 241.36/47.51  | | |            (43), (47), (48), (49), (54), (55), (57), (63), (71) are
% 241.36/47.51  | | |            inconsistent by sub-proof #835.
% 241.36/47.51  | | | 
% 241.36/47.51  | | End of split
% 241.36/47.51  | | 
% 241.36/47.51  | Case 2:
% 241.36/47.51  | | 
% 241.36/47.51  | |   (72)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 241.36/47.51  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 241.36/47.51  | | 
% 241.36/47.51  | | BETA: splitting (72) gives:
% 241.36/47.51  | | 
% 241.36/47.51  | | Case 1:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (73)  all_24_14 = e21 & op2(e21, e22) = e21
% 241.36/47.51  | | | 
% 241.36/47.51  | | | REF_CLOSE: (11), (13), (14), (16), (17), (18), (21), (26), (31), (39),
% 241.36/47.51  | | |            (54), (55), (56), (59), (60), (64), (73) are inconsistent by
% 241.36/47.51  | | |            sub-proof #171.
% 241.36/47.51  | | | 
% 241.36/47.51  | | Case 2:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (74)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 241.36/47.51  | | |           op2(e21, e20) = e21)
% 241.36/47.51  | | | 
% 241.36/47.51  | | | BETA: splitting (74) gives:
% 241.36/47.51  | | | 
% 241.36/47.51  | | | Case 1:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | |   (75)  all_24_15 = e21 & op2(e21, e21) = e21
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | ALPHA: (75) implies:
% 241.36/47.51  | | | |   (76)  all_24_15 = e21
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | REF_CLOSE: (6), (10), (11), (13), (14), (15), (18), (19), (21), (24),
% 241.36/47.51  | | | |            (26), (27), (31), (34), (36), (39), (52), (53), (54), (55),
% 241.36/47.51  | | | |            (56), (59), (60), (61), (64), (76) are inconsistent by
% 241.36/47.51  | | | |            sub-proof #170.
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | Case 2:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | |   (77)  all_24_19 = e21 & op2(e21, e20) = e21
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | REF_CLOSE: (1), (7), (10), (11), (12), (13), (14), (15), (18), (19),
% 241.36/47.51  | | | |            (21), (26), (30), (31), (34), (37), (39), (44), (45), (50),
% 241.36/47.51  | | | |            (52), (53), (54), (55), (56), (59), (60), (61), (64), (77)
% 241.36/47.51  | | | |            are inconsistent by sub-proof #169.
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | End of split
% 241.36/47.51  | | | 
% 241.36/47.51  | | End of split
% 241.36/47.51  | | 
% 241.36/47.51  | End of split
% 241.36/47.51  | 
% 241.36/47.51  End of proof
% 241.36/47.51  
% 241.36/47.51  Sub-proof #167 shows that the following formulas are inconsistent:
% 241.36/47.51  ----------------------------------------------------------------
% 241.36/47.51    (1)  op2(e24, e22) = all_16_10
% 241.36/47.51    (2)  all_24_7 = e20
% 241.36/47.51    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 241.36/47.51           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 241.36/47.51           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 241.36/47.51    (4)   ~ (all_16_10 = e20)
% 241.36/47.51    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 241.36/47.51           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 241.36/47.51           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 241.36/47.51    (6)  op2(e23, unit2) = e23
% 241.36/47.51    (7)   ~ (unit2 = e23)
% 241.36/47.51    (8)   ~ (e24 = e20)
% 241.36/47.51    (9)  all_24_2 = e23
% 241.36/47.51    (10)   ~ (e23 = e21)
% 241.36/47.51    (11)  op2(e23, e21) = e24
% 241.36/47.51    (12)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.36/47.51            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.36/47.51            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.36/47.51    (13)  all_24_14 = e23
% 241.36/47.51    (14)  op2(e23, e23) = e21
% 241.36/47.51    (15)   ~ (e23 = e22)
% 241.36/47.51    (16)   ~ (e22 = e20)
% 241.36/47.51    (17)  op2(e21, e23) = all_16_8
% 241.36/47.51    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.51            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.36/47.51    (19)  op2(unit2, e20) = e20
% 241.36/47.51    (20)  all_24_12 = e22
% 241.36/47.51    (21)  all_24_21 = e23
% 241.36/47.51    (22)   ~ (e23 = e20)
% 241.36/47.51    (23)  all_24_9 = e23
% 241.36/47.51    (24)   ~ (all_16_7 = e23)
% 241.36/47.51    (25)  op2(e24, e23) = e22
% 241.36/47.51    (26)   ~ (all_16_10 = e22)
% 241.36/47.51    (27)   ~ (e24 = e21)
% 241.36/47.51    (28)  op2(e20, e22) = all_16_14
% 241.36/47.51    (29)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 241.36/47.51              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 241.36/47.51            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 241.36/47.51    (30)   ~ (e22 = e21)
% 241.36/47.51    (31)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 241.36/47.51            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 241.36/47.51            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.36/47.51    (32)  op2(e24, unit2) = e24
% 241.36/47.51    (33)  op2(e23, e22) = e20
% 241.36/47.51    (34)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 241.36/47.51              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 241.36/47.51            e20 & op2(e20, e21) = e20)
% 241.36/47.51    (35)  all_24_13 = e24
% 241.36/47.51    (36)   ~ (all_16_14 = e20)
% 241.36/47.51    (37)  all_24_1 = e22
% 241.36/47.51    (38)  all_24_18 = e23
% 241.36/47.51    (39)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.36/47.51    (40)  all_24_6 = e24
% 241.36/47.51    (41)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.51            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.36/47.51            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.36/47.51    (42)   ~ (all_16_8 = e23)
% 241.36/47.51    (43)  op2(e22, e23) = all_16_7
% 241.36/47.51    (44)  op2(unit2, e22) = e22
% 241.36/47.51    (45)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 241.36/47.51              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 241.36/47.51            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.36/47.51    (46)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.36/47.51            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.36/47.51            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.36/47.51    (47)   ~ (e21 = e20)
% 241.36/47.51    (48)   ~ (e24 = e22)
% 241.36/47.51    (49)   ~ (e24 = e23)
% 241.36/47.51    (50)  op2(e23, e21) = all_10_1
% 241.36/47.51    (51)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.51            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.36/47.51            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.36/47.51    (52)  op2(e21, unit2) = e21
% 241.36/47.51    (53)  all_24_8 = e21
% 241.36/47.51    (54)  all_24_17 = e22
% 241.36/47.51    (55)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.51            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.36/47.51            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.36/47.51    (56)  all_24_5 = e20
% 241.36/47.51    (57)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.36/47.51            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.36/47.51            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.36/47.51    (58)  all_24_3 = e21
% 241.36/47.51    (59)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.51            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.36/47.51            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.36/47.51  
% 241.36/47.51  Begin of proof
% 241.36/47.51  | 
% 241.36/47.51  | BETA: splitting (3) gives:
% 241.36/47.51  | 
% 241.36/47.51  | Case 1:
% 241.36/47.51  | | 
% 241.36/47.51  | |   (60)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 241.36/47.51  | |             e23) = e22)
% 241.36/47.51  | | 
% 241.36/47.51  | | BETA: splitting (60) gives:
% 241.36/47.51  | | 
% 241.36/47.51  | | Case 1:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (61)  all_24_6 = e22 & op2(e22, e24) = e22
% 241.36/47.51  | | | 
% 241.36/47.51  | | | REF_CLOSE: (40), (48), (61) are inconsistent by sub-proof #168.
% 241.36/47.51  | | | 
% 241.36/47.51  | | Case 2:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (62)  all_24_7 = e22 & op2(e22, e23) = e22
% 241.36/47.51  | | | 
% 241.36/47.51  | | | ALPHA: (62) implies:
% 241.36/47.51  | | |   (63)  all_24_7 = e22
% 241.36/47.51  | | | 
% 241.36/47.51  | | | BETA: splitting (57) gives:
% 241.36/47.51  | | | 
% 241.36/47.51  | | | Case 1:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | |   (64)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 &
% 241.36/47.51  | | | |           op2(e23, e23) = e20)
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | BETA: splitting (64) gives:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | Case 1:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (65)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | REF_CLOSE: (16), (18), (25), (65) are inconsistent by sub-proof #911.
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | Case 2:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (66)  all_24_3 = e20 & op2(e23, e23) = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | REF_CLOSE: (14), (18), (47), (66) are inconsistent by sub-proof #1306.
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | End of split
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | Case 2:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | |   (67)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.36/47.51  | | | |           op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | BETA: splitting (67) gives:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | Case 1:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (68)  all_24_7 = e20 & op2(e22, e23) = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | COMBINE_EQS: (2), (63) imply:
% 241.36/47.51  | | | | |   (69)  e22 = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | SIMP: (69) implies:
% 241.36/47.51  | | | | |   (70)  e22 = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | COMBINE_EQS: (54), (70) imply:
% 241.36/47.51  | | | | |   (71)  all_24_17 = e20
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | REF_CLOSE: (8), (10), (12), (15), (16), (22), (27), (30), (46), (47),
% 241.36/47.51  | | | | |            (48), (49), (55), (56), (59), (71) are inconsistent by
% 241.36/47.51  | | | | |            sub-proof #221.
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | Case 2:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (72)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 241.36/47.51  | | | | |           op2(e20, e23) = e20)
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | BETA: splitting (72) gives:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | Case 1:
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | |   (73)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | ALPHA: (73) implies:
% 241.36/47.51  | | | | | |   (74)  all_24_13 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | REF_CLOSE: (8), (21), (27), (37), (41), (48), (49), (58), (63), (74)
% 241.36/47.51  | | | | | |            are inconsistent by sub-proof #813.
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | Case 2:
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | |   (75)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | ALPHA: (75) implies:
% 241.36/47.51  | | | | | |   (76)  all_24_21 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | COMBINE_EQS: (21), (76) imply:
% 241.36/47.51  | | | | | |   (77)  e23 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | REF_CLOSE: (8), (9), (10), (11), (12), (15), (18), (22), (27), (30),
% 241.36/47.51  | | | | | |            (33), (47), (48), (49), (50), (54), (55), (59), (77) are
% 241.36/47.51  | | | | | |            inconsistent by sub-proof #214.
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | End of split
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | End of split
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | End of split
% 241.36/47.51  | | | 
% 241.36/47.51  | | End of split
% 241.36/47.51  | | 
% 241.36/47.51  | Case 2:
% 241.36/47.51  | | 
% 241.36/47.51  | |   (78)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 & op2(e22,
% 241.36/47.51  | |             e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 241.36/47.51  | | 
% 241.36/47.51  | | BETA: splitting (78) gives:
% 241.36/47.51  | | 
% 241.36/47.51  | | Case 1:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (79)  all_24_8 = e22 & op2(e22, e22) = e22
% 241.36/47.51  | | | 
% 241.36/47.51  | | | ALPHA: (79) implies:
% 241.36/47.51  | | |   (80)  all_24_8 = e22
% 241.36/47.51  | | | 
% 241.36/47.51  | | | REF_CLOSE: (8), (10), (11), (14), (15), (16), (18), (22), (27), (30),
% 241.36/47.51  | | |            (33), (46), (48), (49), (50), (53), (54), (55), (56), (59),
% 241.36/47.51  | | |            (80) are inconsistent by sub-proof #203.
% 241.36/47.51  | | | 
% 241.36/47.51  | | Case 2:
% 241.36/47.51  | | | 
% 241.36/47.51  | | |   (81)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 241.36/47.51  | | |           op2(e22, e20) = e22)
% 241.36/47.51  | | | 
% 241.36/47.51  | | | BETA: splitting (81) gives:
% 241.36/47.51  | | | 
% 241.36/47.51  | | | Case 1:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | |   (82)  all_24_11 = e22 & op2(e22, e21) = e22
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | ALPHA: (82) implies:
% 241.36/47.51  | | | |   (83)  all_24_11 = e22
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | BETA: splitting (45) gives:
% 241.36/47.51  | | | | 
% 241.36/47.51  | | | | Case 1:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (84)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 241.36/47.51  | | | | |           op2(e21, e23) = e20)
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | BETA: splitting (84) gives:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | Case 1:
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | |   (85)  all_24_12 = e20 & op2(e21, e24) = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | ALPHA: (85) implies:
% 241.36/47.51  | | | | | |   (86)  all_24_12 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | COMBINE_EQS: (20), (86) imply:
% 241.36/47.51  | | | | | |   (87)  e22 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | COMBINE_EQS: (54), (87) imply:
% 241.36/47.51  | | | | | |   (88)  all_24_17 = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | REF_CLOSE: (8), (10), (12), (15), (16), (22), (27), (30), (46),
% 241.36/47.51  | | | | | |            (47), (48), (49), (55), (56), (59), (88) are inconsistent
% 241.36/47.51  | | | | | |            by sub-proof #221.
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | Case 2:
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | |   (89)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | | REF_CLOSE: (8), (35), (89) are inconsistent by sub-proof #867.
% 241.36/47.51  | | | | | | 
% 241.36/47.51  | | | | | End of split
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | Case 2:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | |   (90)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 &
% 241.36/47.51  | | | | |           op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 241.36/47.51  | | | | |           e20)
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | BETA: splitting (90) gives:
% 241.36/47.51  | | | | | 
% 241.36/47.51  | | | | | Case 1:
% 241.36/47.51  | | | | | | 
% 241.36/47.52  | | | | | |   (91)  all_24_14 = e20 & op2(e21, e22) = e20
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | | REF_CLOSE: (8), (9), (10), (11), (12), (13), (15), (18), (22), (27),
% 241.36/47.52  | | | | | |            (30), (33), (47), (48), (49), (50), (54), (55), (59),
% 241.36/47.52  | | | | | |            (91) are inconsistent by sub-proof #172.
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | Case 2:
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | |   (92)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 241.36/47.52  | | | | | |           op2(e21, e20) = e20)
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | | BETA: splitting (92) gives:
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | | Case 1:
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | |   (93)  all_24_15 = e20 & op2(e21, e21) = e20
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | | ALPHA: (93) implies:
% 241.36/47.52  | | | | | | |   (94)  all_24_15 = e20
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | | BETA: splitting (29) gives:
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | |   (95)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 =
% 241.36/47.52  | | | | | | | |           e21 & op2(e23, e21) = e21)
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | | BETA: splitting (95) gives:
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | |   (96)  all_24_9 = e21 & op2(e24, e21) = e21
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | REF_CLOSE: (9), (10), (11), (14), (15), (18), (22), (23),
% 241.36/47.52  | | | | | | | | |            (27), (33), (48), (49), (50), (54), (55), (59),
% 241.36/47.52  | | | | | | | | |            (96) are inconsistent by sub-proof #179.
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | |   (97)  all_24_10 = e21 & op2(e23, e21) = e21
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | REF_CLOSE: (11), (18), (27), (50), (97) are inconsistent by
% 241.36/47.52  | | | | | | | | |            sub-proof #789.
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | |   (98)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 241.36/47.52  | | | | | | | |           e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 241.36/47.52  | | | | | | | |           op2(e20, e21) = e21)
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | | BETA: splitting (98) gives:
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | |   (99)  all_24_11 = e21 & op2(e22, e21) = e21
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | ALPHA: (99) implies:
% 241.36/47.52  | | | | | | | | |   (100)  all_24_11 = e21
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | REF_CLOSE: (8), (10), (11), (14), (15), (16), (18), (22),
% 241.36/47.52  | | | | | | | | |            (27), (30), (33), (46), (48), (49), (50), (54),
% 241.36/47.52  | | | | | | | | |            (55), (56), (59), (83), (100) are inconsistent by
% 241.36/47.52  | | | | | | | | |            sub-proof #174.
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | |   (101)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23
% 241.36/47.52  | | | | | | | | |            = e21 & op2(e20, e21) = e21)
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | BETA: splitting (101) gives:
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | |   (102)  all_24_15 = e21 & op2(e21, e21) = e21
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | ALPHA: (102) implies:
% 241.36/47.52  | | | | | | | | | |   (103)  all_24_15 = e21
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | REF_CLOSE: (47), (94), (103) are inconsistent by sub-proof
% 241.36/47.52  | | | | | | | | | |            #787.
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | |   (104)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | ALPHA: (104) implies:
% 241.36/47.52  | | | | | | | | | |   (105)  all_24_23 = e21
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | BETA: splitting (34) gives:
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | |   (106)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 241.36/47.52  | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | BETA: splitting (106) gives:
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | |   (107)  all_24_20 = e20 & op2(e20, e24) = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | ALPHA: (107) implies:
% 241.36/47.52  | | | | | | | | | | | |   (108)  all_24_20 = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | BETA: splitting (5) gives:
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | |   (109)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 241.36/47.52  | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | BETA: splitting (109) gives:
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | |   (110)  all_24_0 = e21 & op2(e24, e24) = e21
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (8), (9), (10), (11), (12), (15),
% 241.36/47.52  | | | | | | | | | | | | | |            (16), (18), (22), (23), (25), (26), (27), (30),
% 241.36/47.52  | | | | | | | | | | | | | |            (31), (32), (33), (39), (44), (47), (48), (49),
% 241.36/47.52  | | | | | | | | | | | | | |            (50), (54), (55), (59), (110) are inconsistent by
% 241.36/47.52  | | | | | | | | | | | | | |            sub-proof #182.
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | |   (111)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | ALPHA: (111) implies:
% 241.36/47.52  | | | | | | | | | | | | | |   (112)  all_24_2 = e21
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (14), (15), (18), (22), (27), (33),
% 241.36/47.52  | | | | | | | | | | | | | |            (48), (49), (50), (54), (55), (59), (112) are
% 241.36/47.52  | | | | | | | | | | | | | |            inconsistent by sub-proof #1299.
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | |   (113)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 241.36/47.52  | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 241.36/47.52  | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | BETA: splitting (113) gives:
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | |   (114)  all_24_6 = e21 & op2(e22, e24) = e21
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (10), (14), (15), (17), (18), (24),
% 241.36/47.52  | | | | | | | | | | | | | |            (25), (27), (35), (37), (40), (41), (42), (43),
% 241.36/47.52  | | | | | | | | | | | | | |            (48), (49), (51), (58), (114) are inconsistent by
% 241.36/47.52  | | | | | | | | | | | | | |            sub-proof #176.
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | |   (115)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 241.36/47.52  | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | |   (116)  all_24_12 = e21 & op2(e21, e24) = e21
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 241.36/47.52  | | | | | | | | | | | | | | |   (117)  all_24_12 = e21
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | | COMBINE_EQS: (20), (117) imply:
% 241.36/47.52  | | | | | | | | | | | | | | |   (118)  e22 = e21
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | | COMBINE_EQS: (54), (118) imply:
% 241.36/47.52  | | | | | | | | | | | | | | |   (119)  all_24_17 = e21
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (11), (14), (15), (16), (18), (22),
% 241.36/47.52  | | | | | | | | | | | | | | |            (27), (30), (33), (46), (48), (49), (50), (55),
% 241.36/47.52  | | | | | | | | | | | | | | |            (56), (59), (119) are inconsistent by sub-proof
% 241.36/47.52  | | | | | | | | | | | | | | |            #204.
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | |   (120)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | | REF_CLOSE: (47), (108), (120) are inconsistent by sub-proof
% 241.36/47.52  | | | | | | | | | | | | | | |            #818.
% 241.36/47.52  | | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | |   (121)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | ALPHA: (121) implies:
% 241.36/47.52  | | | | | | | | | | | |   (122)  all_24_21 = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | COMBINE_EQS: (21), (122) imply:
% 241.36/47.52  | | | | | | | | | | | |   (123)  e23 = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (11), (12), (15), (18), (22),
% 241.36/47.52  | | | | | | | | | | | |            (27), (30), (33), (47), (48), (49), (50), (54),
% 241.36/47.52  | | | | | | | | | | | |            (55), (59), (123) are inconsistent by sub-proof
% 241.36/47.52  | | | | | | | | | | | |            #214.
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | |   (124)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 241.36/47.52  | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | BETA: splitting (124) gives:
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | Case 1:
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | |   (125)  all_24_22 = e20 & op2(e20, e22) = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | ALPHA: (125) implies:
% 241.36/47.52  | | | | | | | | | | | |   (126)  op2(e20, e22) = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | REF_CLOSE: (18), (28), (36), (126) are inconsistent by
% 241.36/47.52  | | | | | | | | | | | |            sub-proof #961.
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | Case 2:
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | |   (127)  all_24_23 = e20 & op2(e20, e21) = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | ALPHA: (127) implies:
% 241.36/47.52  | | | | | | | | | | | |   (128)  all_24_23 = e20
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | | REF_CLOSE: (47), (105), (128) are inconsistent by sub-proof
% 241.36/47.52  | | | | | | | | | | | |            #368.
% 241.36/47.52  | | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | | 
% 241.36/47.52  | | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | | 
% 241.36/47.52  | | | | | | | | End of split
% 241.36/47.52  | | | | | | | | 
% 241.36/47.52  | | | | | | | End of split
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | Case 2:
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | |   (129)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | | REF_CLOSE: (1), (6), (7), (11), (18), (19), (22), (26), (32),
% 241.36/47.52  | | | | | | |            (33), (39), (44), (49), (50), (52), (129) are
% 241.36/47.52  | | | | | | |            inconsistent by sub-proof #219.
% 241.36/47.52  | | | | | | | 
% 241.36/47.52  | | | | | | End of split
% 241.36/47.52  | | | | | | 
% 241.36/47.52  | | | | | End of split
% 241.36/47.52  | | | | | 
% 241.36/47.52  | | | | End of split
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | Case 2:
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | |   (130)  all_24_18 = e22 & op2(e22, e20) = e22
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | | ALPHA: (130) implies:
% 241.36/47.52  | | | |   (131)  all_24_18 = e22
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | | COMBINE_EQS: (38), (131) imply:
% 241.36/47.52  | | | |   (132)  e23 = e22
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | | SIMP: (132) implies:
% 241.36/47.52  | | | |   (133)  e23 = e22
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | | REDUCE: (15), (133) imply:
% 241.36/47.52  | | | |   (134)  $false
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | | CLOSE: (134) is inconsistent.
% 241.36/47.52  | | | | 
% 241.36/47.52  | | | End of split
% 241.36/47.52  | | | 
% 241.36/47.52  | | End of split
% 241.36/47.52  | | 
% 241.36/47.52  | End of split
% 241.36/47.52  | 
% 241.36/47.52  End of proof
% 241.36/47.52  
% 241.36/47.52  Sub-proof #168 shows that the following formulas are inconsistent:
% 241.36/47.52  ----------------------------------------------------------------
% 241.36/47.52    (1)  all_24_6 = e22 & op2(e22, e24) = e22
% 241.36/47.52    (2)  all_24_6 = e24
% 241.36/47.52    (3)   ~ (e24 = e22)
% 241.36/47.52  
% 241.36/47.52  Begin of proof
% 241.36/47.52  | 
% 241.36/47.52  | ALPHA: (1) implies:
% 241.36/47.52  |   (4)  all_24_6 = e22
% 241.36/47.52  | 
% 241.36/47.52  | COMBINE_EQS: (2), (4) imply:
% 241.36/47.52  |   (5)  e24 = e22
% 241.36/47.52  | 
% 241.36/47.52  | REDUCE: (3), (5) imply:
% 241.36/47.52  |   (6)  $false
% 241.36/47.52  | 
% 241.36/47.52  | CLOSE: (6) is inconsistent.
% 241.36/47.52  | 
% 241.36/47.52  End of proof
% 241.36/47.52  
% 241.36/47.52  Sub-proof #169 shows that the following formulas are inconsistent:
% 241.36/47.52  ----------------------------------------------------------------
% 241.36/47.52    (1)  op2(e24, e22) = all_16_10
% 241.36/47.52    (2)  op2(e23, unit2) = e23
% 241.36/47.52    (3)   ~ (e24 = e20)
% 241.36/47.52    (4)  all_24_2 = e23
% 241.36/47.52    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.36/47.52             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.36/47.52           e20 & op2(e21, e20) = e20)
% 241.36/47.52    (6)  all_24_19 = e21 & op2(e21, e20) = e21
% 241.36/47.52    (7)   ~ (e23 = e21)
% 241.36/47.52    (8)  op2(e23, e21) = e24
% 241.36/47.52    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.36/47.52           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.36/47.52           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.36/47.52    (10)   ~ (e23 = e22)
% 241.36/47.52    (11)   ~ (e22 = e20)
% 241.36/47.52    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.52            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.36/47.52    (13)   ~ (e23 = e20)
% 241.36/47.52    (14)   ~ (all_16_10 = e22)
% 241.36/47.52    (15)   ~ (e24 = e21)
% 241.36/47.52    (16)   ~ (e22 = e21)
% 241.36/47.52    (17)  op2(e24, unit2) = e24
% 241.36/47.52    (18)  op2(e23, e22) = e20
% 241.36/47.52    (19)  all_24_18 = e23
% 241.36/47.52    (20)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.36/47.52    (21)  op2(unit2, e22) = e22
% 241.36/47.52    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.36/47.52            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.36/47.52            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.36/47.52    (23)   ~ (e21 = e20)
% 241.36/47.52    (24)   ~ (e24 = e22)
% 241.36/47.52    (25)   ~ (e24 = e23)
% 241.36/47.52    (26)  op2(e23, e21) = all_10_1
% 241.36/47.52    (27)  all_24_17 = e22
% 241.36/47.52    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.52            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.36/47.52            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.36/47.52    (29)  all_24_5 = e20
% 241.36/47.52    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.52            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.36/47.52            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.36/47.52  
% 241.36/47.52  Begin of proof
% 241.36/47.52  | 
% 241.36/47.52  | ALPHA: (6) implies:
% 241.36/47.52  |   (31)  op2(e21, e20) = e21
% 241.36/47.52  | 
% 241.36/47.52  | BETA: splitting (5) gives:
% 241.36/47.52  | 
% 241.36/47.52  | Case 1:
% 241.36/47.52  | | 
% 241.36/47.52  | |   (32)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 241.36/47.52  | |           op2(e23, e20) = e20)
% 241.36/47.52  | | 
% 241.36/47.52  | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 241.36/47.52  | |            (16), (17), (18), (20), (21), (22), (23), (24), (25), (26), (28),
% 241.36/47.52  | |            (29), (30), (32) are inconsistent by sub-proof #220.
% 241.36/47.52  | | 
% 241.36/47.52  | Case 2:
% 241.36/47.52  | | 
% 241.36/47.52  | |   (33)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 241.36/47.52  | |           op2(e21, e20) = e20)
% 241.36/47.52  | | 
% 241.36/47.52  | | BETA: splitting (33) gives:
% 241.36/47.52  | | 
% 241.36/47.52  | | Case 1:
% 241.36/47.52  | | | 
% 241.36/47.52  | | |   (34)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | ALPHA: (34) implies:
% 241.36/47.52  | | |   (35)  all_24_18 = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | COMBINE_EQS: (19), (35) imply:
% 241.36/47.52  | | |   (36)  e23 = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | REF_CLOSE: (3), (4), (7), (8), (9), (10), (12), (13), (15), (16), (18),
% 241.36/47.52  | | |            (23), (24), (25), (26), (27), (28), (30), (36) are inconsistent
% 241.36/47.52  | | |            by sub-proof #214.
% 241.36/47.52  | | | 
% 241.36/47.52  | | Case 2:
% 241.36/47.52  | | | 
% 241.36/47.52  | | |   (37)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | ALPHA: (37) implies:
% 241.36/47.52  | | |   (38)  op2(e21, e20) = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | REF_CLOSE: (12), (23), (31), (38) are inconsistent by sub-proof #781.
% 241.36/47.52  | | | 
% 241.36/47.52  | | End of split
% 241.36/47.52  | | 
% 241.36/47.52  | End of split
% 241.36/47.52  | 
% 241.36/47.52  End of proof
% 241.36/47.52  
% 241.36/47.52  Sub-proof #170 shows that the following formulas are inconsistent:
% 241.36/47.52  ----------------------------------------------------------------
% 241.36/47.52    (1)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 241.36/47.52           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 241.36/47.52           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 241.36/47.52    (2)   ~ (e24 = e20)
% 241.36/47.52    (3)  all_24_2 = e23
% 241.36/47.52    (4)   ~ (e23 = e21)
% 241.36/47.52    (5)  op2(e23, e21) = e24
% 241.36/47.52    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.36/47.52           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.36/47.52           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.36/47.52    (7)   ~ (e23 = e22)
% 241.36/47.52    (8)   ~ (e22 = e20)
% 241.36/47.52    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.36/47.52           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.36/47.52    (10)  all_24_23 = e22
% 241.36/47.52    (11)   ~ (e23 = e20)
% 241.36/47.52    (12)  all_24_9 = e23
% 241.36/47.52    (13)   ~ (e24 = e21)
% 241.36/47.52    (14)   ~ (e22 = e21)
% 241.36/47.52    (15)  all_24_11 = e21
% 241.36/47.52    (16)  op2(e23, e22) = e20
% 241.36/47.52    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.36/47.52            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.36/47.52            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.36/47.52    (18)  all_24_15 = e21
% 241.36/47.52    (19)   ~ (e21 = e20)
% 241.36/47.52    (20)   ~ (e24 = e22)
% 241.36/47.52    (21)   ~ (e24 = e23)
% 241.36/47.52    (22)  op2(e23, e21) = all_10_1
% 241.36/47.52    (23)  all_24_17 = e22
% 241.36/47.52    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.36/47.52            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.36/47.52            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.36/47.52    (25)  all_24_5 = e20
% 241.36/47.52    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.36/47.52            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.36/47.52            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.36/47.52  
% 241.36/47.52  Begin of proof
% 241.36/47.52  | 
% 241.36/47.52  | BETA: splitting (1) gives:
% 241.36/47.52  | 
% 241.36/47.52  | Case 1:
% 241.36/47.52  | | 
% 241.36/47.52  | |   (27)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 241.36/47.52  | |             e21) = e20)
% 241.36/47.52  | | 
% 241.36/47.52  | | BETA: splitting (27) gives:
% 241.36/47.52  | | 
% 241.36/47.52  | | Case 1:
% 241.36/47.52  | | | 
% 241.36/47.52  | | |   (28)  all_24_9 = e20 & op2(e24, e21) = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 241.36/47.52  | | |            (16), (19), (20), (21), (22), (23), (24), (26), (28) are
% 241.36/47.52  | | |            inconsistent by sub-proof #184.
% 241.36/47.52  | | | 
% 241.36/47.52  | | Case 2:
% 241.36/47.52  | | | 
% 241.36/47.52  | | |   (29)  all_24_10 = e20 & op2(e23, e21) = e20
% 241.36/47.52  | | | 
% 241.36/47.52  | | | REF_CLOSE: (2), (5), (9), (22), (29) are inconsistent by sub-proof #591.
% 241.36/47.52  | | | 
% 241.36/47.52  | | End of split
% 241.36/47.52  | | 
% 241.36/47.52  | Case 2:
% 241.36/47.52  | | 
% 241.36/47.53  | |   (30)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 241.36/47.53  | |           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 241.36/47.53  | | 
% 241.36/47.53  | | BETA: splitting (30) gives:
% 241.36/47.53  | | 
% 241.36/47.53  | | Case 1:
% 241.36/47.53  | | | 
% 241.36/47.53  | | |   (31)  all_24_11 = e20 & op2(e22, e21) = e20
% 241.36/47.53  | | | 
% 241.36/47.53  | | | ALPHA: (31) implies:
% 241.36/47.53  | | |   (32)  all_24_11 = e20
% 241.36/47.53  | | | 
% 241.36/47.53  | | | REF_CLOSE: (15), (19), (32) are inconsistent by sub-proof #788.
% 241.36/47.53  | | | 
% 241.36/47.53  | | Case 2:
% 241.36/47.53  | | | 
% 241.36/47.53  | | |   (33)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 &
% 241.36/47.53  | | |           op2(e20, e21) = e20)
% 241.36/47.53  | | | 
% 241.36/47.53  | | | BETA: splitting (33) gives:
% 241.36/47.53  | | | 
% 241.36/47.53  | | | Case 1:
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | |   (34)  all_24_15 = e20 & op2(e21, e21) = e20
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | | ALPHA: (34) implies:
% 241.36/47.53  | | | |   (35)  all_24_15 = e20
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | | REF_CLOSE: (18), (19), (35) are inconsistent by sub-proof #787.
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | Case 2:
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | |   (36)  all_24_23 = e20 & op2(e20, e21) = e20
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | | ALPHA: (36) implies:
% 241.36/47.53  | | | |   (37)  all_24_23 = e20
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | | REF_CLOSE: (2), (4), (6), (7), (8), (10), (11), (13), (14), (17), (19),
% 241.36/47.53  | | | |            (20), (21), (23), (24), (25), (26), (37) are inconsistent by
% 241.36/47.53  | | | |            sub-proof #177.
% 241.36/47.53  | | | | 
% 241.36/47.53  | | | End of split
% 241.36/47.53  | | | 
% 241.36/47.53  | | End of split
% 241.36/47.53  | | 
% 241.36/47.53  | End of split
% 241.36/47.53  | 
% 241.36/47.53  End of proof
% 241.36/47.53  
% 241.36/47.53  Sub-proof #171 shows that the following formulas are inconsistent:
% 241.36/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)  all_24_2 = e23
% 241.57/47.53    (2)   ~ (e23 = e21)
% 241.57/47.53    (3)  op2(e23, e21) = e24
% 241.57/47.53    (4)  all_24_14 = e23
% 241.57/47.53    (5)  op2(e23, e23) = e21
% 241.57/47.53    (6)   ~ (e23 = e22)
% 241.57/47.53    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.53           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.53    (8)   ~ (e23 = e20)
% 241.57/47.53    (9)   ~ (e24 = e21)
% 241.57/47.53    (10)  op2(e23, e22) = e20
% 241.57/47.53    (11)   ~ (e24 = e22)
% 241.57/47.53    (12)  all_24_14 = e21 & op2(e21, e22) = e21
% 241.57/47.53    (13)   ~ (e24 = e23)
% 241.57/47.53    (14)  op2(e23, e21) = all_10_1
% 241.57/47.53    (15)  all_24_17 = e22
% 241.57/47.53    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.53            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.53            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.53    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.53            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.53            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | ALPHA: (12) implies:
% 241.57/47.53  |   (18)  all_24_14 = e21
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (4), (18) imply:
% 241.57/47.53  |   (19)  e23 = e21
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (1), (19) imply:
% 241.57/47.53  |   (20)  all_24_2 = e21
% 241.57/47.53  | 
% 241.57/47.53  | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 241.57/47.53  |            (16), (17), (20) are inconsistent by sub-proof #1299.
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #172 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)   ~ (e24 = e20)
% 241.57/47.53    (2)  all_24_2 = e23
% 241.57/47.53    (3)   ~ (e23 = e21)
% 241.57/47.53    (4)  op2(e23, e21) = e24
% 241.57/47.53    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.53           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.53           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.53    (6)  all_24_14 = e23
% 241.57/47.53    (7)   ~ (e23 = e22)
% 241.57/47.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.53           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.53    (9)   ~ (e23 = e20)
% 241.57/47.53    (10)   ~ (e24 = e21)
% 241.57/47.53    (11)   ~ (e22 = e21)
% 241.57/47.53    (12)  op2(e23, e22) = e20
% 241.57/47.53    (13)   ~ (e21 = e20)
% 241.57/47.53    (14)   ~ (e24 = e22)
% 241.57/47.53    (15)   ~ (e24 = e23)
% 241.57/47.53    (16)  op2(e23, e21) = all_10_1
% 241.57/47.53    (17)  all_24_14 = e20 & op2(e21, e22) = e20
% 241.57/47.53    (18)  all_24_17 = e22
% 241.57/47.53    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.53            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.53            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.53    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.53            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.53            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | ALPHA: (17) implies:
% 241.57/47.53  |   (21)  all_24_14 = e20
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (6), (21) imply:
% 241.57/47.53  |   (22)  e23 = e20
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (2), (22) imply:
% 241.57/47.53  |   (23)  all_24_2 = e20
% 241.57/47.53  | 
% 241.57/47.53  | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.57/47.53  |            (15), (16), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.57/47.53  |            #1308.
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #173 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)   ~ (e24 = e20)
% 241.57/47.53    (2)   ~ (e23 = e21)
% 241.57/47.53    (3)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.53           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.53           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.53    (4)   ~ (e23 = e22)
% 241.57/47.53    (5)   ~ (e22 = e20)
% 241.57/47.53    (6)   ~ (e23 = e20)
% 241.57/47.53    (7)   ~ (e24 = e21)
% 241.57/47.53    (8)   ~ (e22 = e21)
% 241.57/47.53    (9)  all_24_15 = e20 & op2(e21, e21) = e20
% 241.57/47.53    (10)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.53            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.53            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.53    (11)   ~ (e21 = e20)
% 241.57/47.53    (12)   ~ (e24 = e22)
% 241.57/47.53    (13)   ~ (e24 = e23)
% 241.57/47.53    (14)  all_24_17 = e22
% 241.57/47.53    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.53            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.53            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.53    (16)  all_24_5 = e20
% 241.57/47.53    (17)  all_24_15 = e22
% 241.57/47.53    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.53            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.53            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | ALPHA: (9) implies:
% 241.57/47.53  |   (19)  all_24_15 = e20
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (17), (19) imply:
% 241.57/47.53  |   (20)  e22 = e20
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (14), (20) imply:
% 241.57/47.53  |   (21)  all_24_17 = e20
% 241.57/47.53  | 
% 241.57/47.53  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 241.57/47.53  |            (15), (16), (18), (21) are inconsistent by sub-proof #221.
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #174 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)  all_24_11 = e22
% 241.57/47.53    (2)   ~ (e24 = e20)
% 241.57/47.53    (3)   ~ (e23 = e21)
% 241.57/47.53    (4)  op2(e23, e21) = e24
% 241.57/47.53    (5)  op2(e23, e23) = e21
% 241.57/47.53    (6)   ~ (e23 = e22)
% 241.57/47.53    (7)   ~ (e22 = e20)
% 241.57/47.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.53           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.53    (9)   ~ (e23 = e20)
% 241.57/47.53    (10)   ~ (e24 = e21)
% 241.57/47.53    (11)   ~ (e22 = e21)
% 241.57/47.53    (12)  all_24_11 = e21
% 241.57/47.53    (13)  op2(e23, e22) = e20
% 241.57/47.53    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.53            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.53            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.53    (15)   ~ (e24 = e22)
% 241.57/47.53    (16)   ~ (e24 = e23)
% 241.57/47.53    (17)  op2(e23, e21) = all_10_1
% 241.57/47.53    (18)  all_24_17 = e22
% 241.57/47.53    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.53            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.53            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.53    (20)  all_24_5 = e20
% 241.57/47.53    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.53            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.53            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (1), (12) imply:
% 241.57/47.53  |   (22)  e22 = e21
% 241.57/47.53  | 
% 241.57/47.53  | SIMP: (22) implies:
% 241.57/47.53  |   (23)  e22 = e21
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (18), (23) imply:
% 241.57/47.53  |   (24)  all_24_17 = e21
% 241.57/47.53  | 
% 241.57/47.53  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 241.57/47.53  |            (15), (16), (17), (19), (20), (21), (24) are inconsistent by
% 241.57/47.53  |            sub-proof #204.
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #175 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)  op2(e23, e21) = e24
% 241.57/47.53    (2)   ~ (e23 = e22)
% 241.57/47.53    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.53           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.53    (4)  all_24_9 = e23
% 241.57/47.53    (5)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23, e21)
% 241.57/47.53           = e22)
% 241.57/47.53    (6)   ~ (e24 = e22)
% 241.57/47.53    (7)  op2(e23, e21) = all_10_1
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | BETA: splitting (5) gives:
% 241.57/47.53  | 
% 241.57/47.53  | Case 1:
% 241.57/47.53  | | 
% 241.57/47.53  | |   (8)  all_24_9 = e22 & op2(e24, e21) = e22
% 241.57/47.53  | | 
% 241.57/47.53  | | ALPHA: (8) implies:
% 241.57/47.53  | |   (9)  all_24_9 = e22
% 241.57/47.53  | | 
% 241.57/47.53  | | COMBINE_EQS: (4), (9) imply:
% 241.57/47.53  | |   (10)  e23 = e22
% 241.57/47.53  | | 
% 241.57/47.53  | | REDUCE: (2), (10) imply:
% 241.57/47.53  | |   (11)  $false
% 241.57/47.53  | | 
% 241.57/47.53  | | CLOSE: (11) is inconsistent.
% 241.57/47.53  | | 
% 241.57/47.53  | Case 2:
% 241.57/47.53  | | 
% 241.57/47.53  | |   (12)  all_24_10 = e22 & op2(e23, e21) = e22
% 241.57/47.53  | | 
% 241.57/47.53  | | ALPHA: (12) implies:
% 241.57/47.53  | |   (13)  op2(e23, e21) = e22
% 241.57/47.53  | | 
% 241.57/47.53  | | REF_CLOSE: (1), (3), (6), (7), (13) are inconsistent by sub-proof #963.
% 241.57/47.53  | | 
% 241.57/47.53  | End of split
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #176 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)  all_24_7 = e20
% 241.57/47.53    (2)  all_24_6 = e21 & op2(e22, e24) = e21
% 241.57/47.53    (3)   ~ (e24 = e20)
% 241.57/47.53    (4)   ~ (e23 = e21)
% 241.57/47.53    (5)  op2(e23, e23) = e21
% 241.57/47.53    (6)   ~ (e23 = e22)
% 241.57/47.53    (7)  op2(e21, e23) = all_16_8
% 241.57/47.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.53           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.53    (9)   ~ (all_16_7 = e23)
% 241.57/47.53    (10)  op2(e24, e23) = e22
% 241.57/47.53    (11)   ~ (e24 = e21)
% 241.57/47.53    (12)  all_24_13 = e24
% 241.57/47.53    (13)  all_24_1 = e22
% 241.57/47.53    (14)  all_24_6 = e24
% 241.57/47.53    (15)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.53            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.57/47.53            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.57/47.53    (16)   ~ (all_16_8 = e23)
% 241.57/47.53    (17)  op2(e22, e23) = all_16_7
% 241.57/47.53    (18)   ~ (e24 = e22)
% 241.57/47.53    (19)   ~ (e24 = e23)
% 241.57/47.53    (20)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.53            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.57/47.53            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.57/47.53    (21)  all_24_3 = e21
% 241.57/47.53  
% 241.57/47.53  Begin of proof
% 241.57/47.53  | 
% 241.57/47.53  | ALPHA: (2) implies:
% 241.57/47.53  |   (22)  all_24_6 = e21
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (14), (22) imply:
% 241.57/47.53  |   (23)  e24 = e21
% 241.57/47.53  | 
% 241.57/47.53  | COMBINE_EQS: (12), (23) imply:
% 241.57/47.53  |   (24)  all_24_13 = e21
% 241.57/47.53  | 
% 241.57/47.53  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 241.57/47.53  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 241.57/47.53  |            sub-proof #835.
% 241.57/47.53  | 
% 241.57/47.53  End of proof
% 241.57/47.53  
% 241.57/47.53  Sub-proof #177 shows that the following formulas are inconsistent:
% 241.57/47.53  ----------------------------------------------------------------
% 241.57/47.53    (1)  all_24_23 = e20
% 241.57/47.53    (2)   ~ (e24 = e20)
% 241.57/47.53    (3)   ~ (e23 = e21)
% 241.57/47.53    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.53           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.53           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.53    (5)   ~ (e23 = e22)
% 241.57/47.53    (6)   ~ (e22 = e20)
% 241.57/47.53    (7)  all_24_23 = e22
% 241.57/47.53    (8)   ~ (e23 = e20)
% 241.57/47.53    (9)   ~ (e24 = e21)
% 241.57/47.54    (10)   ~ (e22 = e21)
% 241.57/47.54    (11)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.54            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.54            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.54    (12)   ~ (e21 = e20)
% 241.57/47.54    (13)   ~ (e24 = e22)
% 241.57/47.54    (14)   ~ (e24 = e23)
% 241.57/47.54    (15)  all_24_17 = e22
% 241.57/47.54    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.54            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.54            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.54    (17)  all_24_5 = e20
% 241.57/47.54    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.54            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.54            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.54  
% 241.57/47.54  Begin of proof
% 241.57/47.54  | 
% 241.57/47.54  | COMBINE_EQS: (1), (7) imply:
% 241.57/47.54  |   (19)  e22 = e20
% 241.57/47.54  | 
% 241.57/47.54  | SIMP: (19) implies:
% 241.57/47.54  |   (20)  e22 = e20
% 241.57/47.54  | 
% 241.57/47.54  | COMBINE_EQS: (15), (20) imply:
% 241.57/47.54  |   (21)  all_24_17 = e20
% 241.57/47.54  | 
% 241.57/47.54  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 241.57/47.54  |            (16), (17), (18), (21) are inconsistent by sub-proof #221.
% 241.57/47.54  | 
% 241.57/47.54  End of proof
% 241.57/47.54  
% 241.57/47.54  Sub-proof #178 shows that the following formulas are inconsistent:
% 241.57/47.54  ----------------------------------------------------------------
% 241.57/47.54    (1)  all_24_18 = e24 & op2(e22, e20) = e24
% 241.57/47.54    (2)  all_24_18 = e23
% 241.57/47.54    (3)   ~ (e24 = e23)
% 241.57/47.54  
% 241.57/47.54  Begin of proof
% 241.57/47.54  | 
% 241.57/47.54  | ALPHA: (1) implies:
% 241.57/47.54  |   (4)  all_24_18 = e24
% 241.57/47.54  | 
% 241.57/47.54  | COMBINE_EQS: (2), (4) imply:
% 241.57/47.54  |   (5)  e24 = e23
% 241.57/47.54  | 
% 241.57/47.54  | SIMP: (5) implies:
% 241.57/47.54  |   (6)  e24 = e23
% 241.57/47.54  | 
% 241.57/47.54  | REDUCE: (3), (6) imply:
% 241.57/47.54  |   (7)  $false
% 241.57/47.54  | 
% 241.57/47.54  | CLOSE: (7) is inconsistent.
% 241.57/47.54  | 
% 241.57/47.54  End of proof
% 241.57/47.54  
% 241.57/47.54  Sub-proof #179 shows that the following formulas are inconsistent:
% 241.57/47.54  ----------------------------------------------------------------
% 241.57/47.54    (1)  all_24_2 = e23
% 241.57/47.54    (2)   ~ (e23 = e21)
% 241.57/47.54    (3)  op2(e23, e21) = e24
% 241.57/47.54    (4)  op2(e23, e23) = e21
% 241.57/47.54    (5)   ~ (e23 = e22)
% 241.57/47.54    (6)  all_24_9 = e21 & op2(e24, e21) = e21
% 241.57/47.54    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.54           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.54    (8)   ~ (e23 = e20)
% 241.57/47.54    (9)  all_24_9 = e23
% 241.57/47.54    (10)   ~ (e24 = e21)
% 241.57/47.54    (11)  op2(e23, e22) = e20
% 241.57/47.54    (12)   ~ (e24 = e22)
% 241.57/47.54    (13)   ~ (e24 = e23)
% 241.57/47.54    (14)  op2(e23, e21) = all_10_1
% 241.57/47.54    (15)  all_24_17 = e22
% 241.57/47.54    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.54            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.54            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.54    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.54            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.54            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.54  
% 241.57/47.54  Begin of proof
% 241.57/47.54  | 
% 241.57/47.54  | ALPHA: (6) implies:
% 241.57/47.54  |   (18)  all_24_9 = e21
% 241.57/47.54  | 
% 241.57/47.54  | COMBINE_EQS: (9), (18) imply:
% 241.57/47.54  |   (19)  e23 = e21
% 241.57/47.54  | 
% 241.57/47.54  | COMBINE_EQS: (1), (19) imply:
% 241.57/47.54  |   (20)  all_24_2 = e21
% 241.57/47.54  | 
% 241.57/47.54  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14), (15),
% 241.57/47.54  |            (16), (17), (20) are inconsistent by sub-proof #1299.
% 241.57/47.54  | 
% 241.57/47.54  End of proof
% 241.57/47.54  
% 241.57/47.54  Sub-proof #180 shows that the following formulas are inconsistent:
% 241.57/47.54  ----------------------------------------------------------------
% 241.57/47.54    (1)  op2(e24, e22) = all_16_10
% 241.57/47.54    (2)   ~ (all_16_15 = e24)
% 241.57/47.54    (3)  op2(e23, unit2) = e23
% 241.57/47.54    (4)   ~ (unit2 = e23)
% 241.57/47.54    (5)   ~ (e24 = e20)
% 241.57/47.54    (6)  all_24_2 = e23
% 241.57/47.54    (7)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.57/47.54             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.57/47.54           e20 & op2(e21, e20) = e20)
% 241.57/47.54    (8)   ~ (e23 = e21)
% 241.57/47.54    (9)  op2(e23, e21) = e24
% 241.57/47.54    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.54            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.54            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.54    (11)   ~ (e23 = e22)
% 241.57/47.54    (12)   ~ (e22 = e20)
% 241.57/47.54    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.54            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.54    (14)  op2(unit2, e20) = e20
% 241.57/47.54    (15)   ~ (e23 = e20)
% 241.57/47.54    (16)   ~ (all_16_10 = e22)
% 241.57/47.54    (17)   ~ (e24 = e21)
% 241.57/47.54    (18)   ~ (e22 = e21)
% 241.57/47.54    (19)  op2(e24, unit2) = e24
% 241.57/47.54    (20)  op2(e23, e22) = e20
% 241.57/47.54    (21)  all_24_18 = e23
% 241.57/47.54    (22)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24,
% 241.57/47.54              e20) = e24)
% 241.57/47.54    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.54    (24)  op2(unit2, e22) = e22
% 241.57/47.54    (25)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.54            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.54            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.54    (26)   ~ (e21 = e20)
% 241.57/47.54    (27)  op2(e24, e21) = all_16_15
% 241.57/47.54    (28)   ~ (e24 = e22)
% 241.57/47.54    (29)   ~ (e24 = e23)
% 241.57/47.54    (30)  op2(e23, e21) = all_10_1
% 241.57/47.54    (31)  op2(e21, unit2) = e21
% 241.57/47.54    (32)  all_24_17 = e22
% 241.57/47.54    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.54            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.54            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.54    (34)  all_24_5 = e20
% 241.57/47.54    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.54            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.54            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.54  
% 241.57/47.54  Begin of proof
% 241.57/47.54  | 
% 241.57/47.54  | BETA: splitting (22) gives:
% 241.57/47.54  | 
% 241.57/47.54  | Case 1:
% 241.57/47.54  | | 
% 241.57/47.54  | |   (36)  all_24_9 = e24 & op2(e24, e21) = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | REF_CLOSE: (2), (13), (27), (36) are inconsistent by sub-proof #862.
% 241.57/47.54  | | 
% 241.57/47.54  | Case 2:
% 241.57/47.54  | | 
% 241.57/47.54  | |   (37)  all_24_16 = e24 & op2(e24, e20) = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | ALPHA: (37) implies:
% 241.57/47.54  | |   (38)  op2(e24, e20) = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | BETA: splitting (7) gives:
% 241.57/47.54  | | 
% 241.57/47.54  | | Case 1:
% 241.57/47.54  | | | 
% 241.57/47.54  | | |   (39)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 241.57/47.54  | | |           op2(e23, e20) = e20)
% 241.57/47.54  | | | 
% 241.57/47.54  | | | BETA: splitting (39) gives:
% 241.57/47.54  | | | 
% 241.57/47.54  | | | Case 1:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (40)  all_24_16 = e20 & op2(e24, e20) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (5), (13), (38), (40) are inconsistent by sub-proof #343.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | Case 2:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (41)  all_24_17 = e20 & op2(e23, e20) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | ALPHA: (41) implies:
% 241.57/47.54  | | | |   (42)  all_24_17 = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (5), (8), (10), (11), (12), (15), (17), (18), (25), (26),
% 241.57/47.54  | | | |            (28), (29), (33), (34), (35), (42) are inconsistent by
% 241.57/47.54  | | | |            sub-proof #221.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | End of split
% 241.57/47.54  | | | 
% 241.57/47.54  | | Case 2:
% 241.57/47.54  | | | 
% 241.57/47.54  | | |   (43)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 241.57/47.54  | | |           op2(e21, e20) = e20)
% 241.57/47.54  | | | 
% 241.57/47.54  | | | BETA: splitting (43) gives:
% 241.57/47.54  | | | 
% 241.57/47.54  | | | Case 1:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (44)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | ALPHA: (44) implies:
% 241.57/47.54  | | | |   (45)  all_24_18 = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | COMBINE_EQS: (21), (45) imply:
% 241.57/47.54  | | | |   (46)  e23 = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (5), (6), (8), (9), (10), (11), (13), (15), (17), (18), (20),
% 241.57/47.54  | | | |            (26), (28), (29), (30), (32), (33), (35), (46) are
% 241.57/47.54  | | | |            inconsistent by sub-proof #214.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | Case 2:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (47)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (1), (3), (4), (9), (13), (14), (15), (16), (19), (20), (23),
% 241.57/47.54  | | | |            (24), (29), (30), (31), (47) are inconsistent by sub-proof
% 241.57/47.54  | | | |            #219.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | End of split
% 241.57/47.54  | | | 
% 241.57/47.54  | | End of split
% 241.57/47.54  | | 
% 241.57/47.54  | End of split
% 241.57/47.54  | 
% 241.57/47.54  End of proof
% 241.57/47.54  
% 241.57/47.54  Sub-proof #181 shows that the following formulas are inconsistent:
% 241.57/47.54  ----------------------------------------------------------------
% 241.57/47.54    (1)  op2(e24, e22) = all_16_10
% 241.57/47.54    (2)   ~ (all_16_10 = e20)
% 241.57/47.54    (3)  op2(e23, unit2) = e23
% 241.57/47.54    (4)   ~ (e24 = e20)
% 241.57/47.54    (5)  all_24_2 = e23
% 241.57/47.54    (6)   ~ (e23 = e21)
% 241.57/47.54    (7)  op2(e23, e21) = e24
% 241.57/47.54    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.54           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.54           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.54    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.57/47.54           = e24)
% 241.57/47.54    (10)   ~ (e23 = e22)
% 241.57/47.54    (11)   ~ (e22 = e20)
% 241.57/47.54    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.54            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.54    (13)   ~ (e23 = e20)
% 241.57/47.54    (14)  all_24_9 = e23
% 241.57/47.54    (15)  op2(e24, e23) = e22
% 241.57/47.54    (16)   ~ (all_16_10 = e22)
% 241.57/47.54    (17)   ~ (e24 = e21)
% 241.57/47.54    (18)   ~ (e22 = e21)
% 241.57/47.54    (19)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 241.57/47.54            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 241.57/47.54            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.57/47.54    (20)  op2(e24, unit2) = e24
% 241.57/47.54    (21)  op2(e23, e22) = e20
% 241.57/47.54    (22)  all_24_1 = e22
% 241.57/47.54    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.54    (24)  op2(unit2, e22) = e22
% 241.57/47.54    (25)   ~ (e21 = e20)
% 241.57/47.54    (26)   ~ (e24 = e22)
% 241.57/47.54    (27)   ~ (e24 = e23)
% 241.57/47.54    (28)  op2(e23, e21) = all_10_1
% 241.57/47.54    (29)  all_24_17 = e22
% 241.57/47.54    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.54            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.54            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.54    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.54            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.54            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.54  
% 241.57/47.54  Begin of proof
% 241.57/47.54  | 
% 241.57/47.54  | BETA: splitting (9) gives:
% 241.57/47.54  | 
% 241.57/47.54  | Case 1:
% 241.57/47.54  | | 
% 241.57/47.54  | |   (32)  all_24_0 = e24 & op2(e24, e24) = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | ALPHA: (32) implies:
% 241.57/47.54  | |   (33)  all_24_0 = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | BETA: splitting (19) gives:
% 241.57/47.54  | | 
% 241.57/47.54  | | Case 1:
% 241.57/47.54  | | | 
% 241.57/47.54  | | |   (34)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 241.57/47.54  | | |           op2(e24, e23) = e20)
% 241.57/47.54  | | | 
% 241.57/47.54  | | | BETA: splitting (34) gives:
% 241.57/47.54  | | | 
% 241.57/47.54  | | | Case 1:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (35)  all_24_0 = e20 & op2(e24, e24) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (4), (33), (35) are inconsistent by sub-proof #698.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | Case 2:
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | |   (36)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | | REF_CLOSE: (11), (12), (15), (36) are inconsistent by sub-proof #911.
% 241.57/47.54  | | | | 
% 241.57/47.54  | | | End of split
% 241.57/47.54  | | | 
% 241.57/47.54  | | Case 2:
% 241.57/47.54  | | | 
% 241.57/47.54  | | |   (37)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 241.57/47.54  | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.57/47.54  | | | 
% 241.57/47.54  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 241.57/47.54  | | |            (16), (17), (18), (20), (21), (23), (24), (25), (26), (27),
% 241.57/47.54  | | |            (28), (29), (30), (31), (37) are inconsistent by sub-proof
% 241.57/47.54  | | |            #183.
% 241.57/47.54  | | | 
% 241.57/47.54  | | End of split
% 241.57/47.54  | | 
% 241.57/47.54  | Case 2:
% 241.57/47.54  | | 
% 241.57/47.54  | |   (38)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.57/47.54  | | 
% 241.57/47.54  | | REF_CLOSE: (22), (26), (38) are inconsistent by sub-proof #870.
% 241.57/47.54  | | 
% 241.57/47.54  | End of split
% 241.57/47.54  | 
% 241.57/47.54  End of proof
% 241.57/47.54  
% 241.57/47.54  Sub-proof #182 shows that the following formulas are inconsistent:
% 241.57/47.54  ----------------------------------------------------------------
% 241.57/47.54    (1)  op2(e24, e22) = all_16_10
% 241.57/47.54    (2)   ~ (all_16_10 = e20)
% 241.57/47.54    (3)  op2(e23, unit2) = e23
% 241.57/47.54    (4)   ~ (e24 = e20)
% 241.57/47.54    (5)  all_24_2 = e23
% 241.57/47.54    (6)   ~ (e23 = e21)
% 241.57/47.54    (7)  op2(e23, e21) = e24
% 241.57/47.54    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.54           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.54           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.55    (9)   ~ (e23 = e22)
% 241.57/47.55    (10)   ~ (e22 = e20)
% 241.57/47.55    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.55            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.55    (12)   ~ (e23 = e20)
% 241.57/47.55    (13)  all_24_9 = e23
% 241.57/47.55    (14)  op2(e24, e23) = e22
% 241.57/47.55    (15)   ~ (all_16_10 = e22)
% 241.57/47.55    (16)   ~ (e24 = e21)
% 241.57/47.55    (17)   ~ (e22 = e21)
% 241.57/47.55    (18)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 241.57/47.55            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 241.57/47.55            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.57/47.55    (19)  op2(e24, unit2) = e24
% 241.57/47.55    (20)  op2(e23, e22) = e20
% 241.57/47.55    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.55    (22)  op2(unit2, e22) = e22
% 241.57/47.55    (23)   ~ (e21 = e20)
% 241.57/47.55    (24)   ~ (e24 = e22)
% 241.57/47.55    (25)   ~ (e24 = e23)
% 241.57/47.55    (26)  op2(e23, e21) = all_10_1
% 241.57/47.55    (27)  all_24_17 = e22
% 241.57/47.55    (28)  all_24_0 = e21 & op2(e24, e24) = e21
% 241.57/47.55    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.55            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.55            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.55    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.55            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.55            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.55  
% 241.57/47.55  Begin of proof
% 241.57/47.55  | 
% 241.57/47.55  | ALPHA: (28) implies:
% 241.57/47.55  |   (31)  all_24_0 = e21
% 241.57/47.55  | 
% 241.57/47.55  | BETA: splitting (18) gives:
% 241.57/47.55  | 
% 241.57/47.55  | Case 1:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (32)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 241.57/47.55  | |             e23) = e20)
% 241.57/47.55  | | 
% 241.57/47.55  | | REF_CLOSE: (10), (11), (14), (23), (31), (32) are inconsistent by sub-proof
% 241.57/47.55  | |            #910.
% 241.57/47.55  | | 
% 241.57/47.55  | Case 2:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (33)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24,
% 241.57/47.55  | |             e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.57/47.55  | | 
% 241.57/47.55  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 241.57/47.55  | |            (15), (16), (17), (19), (20), (21), (22), (23), (24), (25), (26),
% 241.57/47.55  | |            (27), (29), (30), (33) are inconsistent by sub-proof #183.
% 241.57/47.55  | | 
% 241.57/47.55  | End of split
% 241.57/47.55  | 
% 241.57/47.55  End of proof
% 241.57/47.55  
% 241.57/47.55  Sub-proof #183 shows that the following formulas are inconsistent:
% 241.57/47.55  ----------------------------------------------------------------
% 241.57/47.55    (1)  op2(e24, e22) = all_16_10
% 241.57/47.55    (2)   ~ (all_16_10 = e20)
% 241.57/47.55    (3)  op2(e23, unit2) = e23
% 241.57/47.55    (4)   ~ (e24 = e20)
% 241.57/47.55    (5)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24, e21)
% 241.57/47.55           = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 241.57/47.55    (6)  all_24_2 = e23
% 241.57/47.55    (7)   ~ (e23 = e21)
% 241.57/47.55    (8)  op2(e23, e21) = e24
% 241.57/47.55    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.55           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.55           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.55    (10)   ~ (e23 = e22)
% 241.57/47.55    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.55            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.55    (12)   ~ (e23 = e20)
% 241.57/47.55    (13)  all_24_9 = e23
% 241.57/47.55    (14)   ~ (all_16_10 = e22)
% 241.57/47.55    (15)   ~ (e24 = e21)
% 241.57/47.55    (16)   ~ (e22 = e21)
% 241.57/47.55    (17)  op2(e24, unit2) = e24
% 241.57/47.55    (18)  op2(e23, e22) = e20
% 241.57/47.55    (19)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.55    (20)  op2(unit2, e22) = e22
% 241.57/47.55    (21)   ~ (e21 = e20)
% 241.57/47.55    (22)   ~ (e24 = e22)
% 241.57/47.55    (23)   ~ (e24 = e23)
% 241.57/47.55    (24)  op2(e23, e21) = all_10_1
% 241.57/47.55    (25)  all_24_17 = e22
% 241.57/47.55    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.55            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.55            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.55    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.55            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.55            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.55  
% 241.57/47.55  Begin of proof
% 241.57/47.55  | 
% 241.57/47.55  | BETA: splitting (5) gives:
% 241.57/47.55  | 
% 241.57/47.55  | Case 1:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (28)  all_24_4 = e20 & op2(e24, e22) = e20
% 241.57/47.55  | | 
% 241.57/47.55  | | REF_CLOSE: (1), (2), (11), (28) are inconsistent by sub-proof #909.
% 241.57/47.55  | | 
% 241.57/47.55  | Case 2:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (29)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24,
% 241.57/47.55  | |             e20) = e20)
% 241.57/47.55  | | 
% 241.57/47.55  | | BETA: splitting (29) gives:
% 241.57/47.55  | | 
% 241.57/47.55  | | Case 1:
% 241.57/47.55  | | | 
% 241.57/47.55  | | |   (30)  all_24_9 = e20 & op2(e24, e21) = e20
% 241.57/47.55  | | | 
% 241.57/47.55  | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 241.57/47.55  | | |            (18), (21), (22), (23), (24), (25), (26), (27), (30) are
% 241.57/47.55  | | |            inconsistent by sub-proof #184.
% 241.57/47.55  | | | 
% 241.57/47.55  | | Case 2:
% 241.57/47.55  | | | 
% 241.57/47.55  | | |   (31)  all_24_16 = e20 & op2(e24, e20) = e20
% 241.57/47.55  | | | 
% 241.57/47.55  | | | ALPHA: (31) implies:
% 241.57/47.55  | | |   (32)  op2(e24, e20) = e20
% 241.57/47.55  | | | 
% 241.57/47.55  | | | REF_CLOSE: (1), (3), (8), (11), (12), (14), (17), (18), (19), (20), (23),
% 241.57/47.55  | | |            (24), (32) are inconsistent by sub-proof #509.
% 241.57/47.55  | | | 
% 241.57/47.55  | | End of split
% 241.57/47.55  | | 
% 241.57/47.55  | End of split
% 241.57/47.55  | 
% 241.57/47.55  End of proof
% 241.57/47.55  
% 241.57/47.55  Sub-proof #184 shows that the following formulas are inconsistent:
% 241.57/47.55  ----------------------------------------------------------------
% 241.57/47.55    (1)   ~ (e24 = e20)
% 241.57/47.55    (2)  all_24_2 = e23
% 241.57/47.55    (3)   ~ (e23 = e21)
% 241.57/47.55    (4)  op2(e23, e21) = e24
% 241.57/47.55    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.55           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.55           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.55    (6)   ~ (e23 = e22)
% 241.57/47.55    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.55           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.55    (8)   ~ (e23 = e20)
% 241.57/47.55    (9)  all_24_9 = e23
% 241.57/47.55    (10)   ~ (e24 = e21)
% 241.57/47.55    (11)   ~ (e22 = e21)
% 241.57/47.55    (12)  op2(e23, e22) = e20
% 241.57/47.55    (13)  all_24_9 = e20 & op2(e24, e21) = e20
% 241.57/47.55    (14)   ~ (e21 = e20)
% 241.57/47.55    (15)   ~ (e24 = e22)
% 241.57/47.55    (16)   ~ (e24 = e23)
% 241.57/47.55    (17)  op2(e23, e21) = all_10_1
% 241.57/47.55    (18)  all_24_17 = e22
% 241.57/47.55    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.55            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.55            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.55    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.55            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.55            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.55  
% 241.57/47.55  Begin of proof
% 241.57/47.55  | 
% 241.57/47.55  | ALPHA: (13) implies:
% 241.57/47.55  |   (21)  all_24_9 = e20
% 241.57/47.55  | 
% 241.57/47.55  | COMBINE_EQS: (9), (21) imply:
% 241.57/47.55  |   (22)  e23 = e20
% 241.57/47.55  | 
% 241.57/47.55  | COMBINE_EQS: (2), (22) imply:
% 241.57/47.55  |   (23)  all_24_2 = e20
% 241.57/47.55  | 
% 241.57/47.55  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (14), (15),
% 241.57/47.55  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.57/47.55  |            #1308.
% 241.57/47.55  | 
% 241.57/47.55  End of proof
% 241.57/47.55  
% 241.57/47.55  Sub-proof #185 shows that the following formulas are inconsistent:
% 241.57/47.55  ----------------------------------------------------------------
% 241.57/47.55    (1)  op2(e24, e22) = all_16_10
% 241.57/47.55    (2)  op2(e23, unit2) = e23
% 241.57/47.55    (3)   ~ (unit2 = e23)
% 241.57/47.55    (4)  op2(e23, e21) = e24
% 241.57/47.55    (5)   ~ (all_16_9 = e23)
% 241.57/47.55    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.55           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.55    (7)  op2(unit2, e20) = e20
% 241.57/47.55    (8)   ~ (e23 = e20)
% 241.57/47.55    (9)   ~ (all_16_10 = e22)
% 241.57/47.55    (10)  op2(e24, unit2) = e24
% 241.57/47.55    (11)  op2(e23, e22) = e20
% 241.57/47.55    (12)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.55    (13)  op2(e20, e23) = all_16_9
% 241.57/47.55    (14)  op2(unit2, e22) = e22
% 241.57/47.55    (15)   ~ (e24 = e23)
% 241.57/47.55    (16)  op2(e23, e21) = all_10_1
% 241.57/47.55    (17)  op2(unit2, e23) = e23
% 241.57/47.55  
% 241.57/47.55  Begin of proof
% 241.57/47.55  | 
% 241.57/47.55  | BETA: splitting (12) gives:
% 241.57/47.55  | 
% 241.57/47.55  | Case 1:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (18)  unit2 = e24
% 241.57/47.55  | | 
% 241.57/47.55  | | REDUCE: (7), (18) imply:
% 241.57/47.55  | |   (19)  op2(e24, e20) = e20
% 241.57/47.55  | | 
% 241.57/47.55  | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (10), (11), (12), (14), (15), (16),
% 241.57/47.55  | |            (19) are inconsistent by sub-proof #509.
% 241.57/47.55  | | 
% 241.57/47.55  | Case 2:
% 241.57/47.55  | | 
% 241.57/47.55  | |   (20)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.55  | | 
% 241.57/47.55  | | REF_CLOSE: (2), (4), (5), (6), (8), (11), (13), (15), (16), (17), (20) are
% 241.57/47.55  | |            inconsistent by sub-proof #483.
% 241.57/47.55  | | 
% 241.57/47.55  | End of split
% 241.57/47.55  | 
% 241.57/47.55  End of proof
% 241.57/47.55  
% 241.57/47.55  Sub-proof #186 shows that the following formulas are inconsistent:
% 241.57/47.55  ----------------------------------------------------------------
% 241.57/47.55    (1)   ~ (e24 = e20)
% 241.57/47.55    (2)  all_24_2 = e23
% 241.57/47.55    (3)   ~ (e23 = e21)
% 241.57/47.55    (4)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.57/47.55             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.57/47.55           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.55    (5)  op2(e23, e21) = e24
% 241.57/47.55    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.55           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.55           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.55    (7)  op2(e23, e23) = e21
% 241.57/47.55    (8)   ~ (e23 = e22)
% 241.57/47.55    (9)   ~ (e22 = e20)
% 241.57/47.55    (10)  op2(e21, e23) = all_16_8
% 241.57/47.55    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.55            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.55    (12)   ~ (e23 = e20)
% 241.57/47.55    (13)   ~ (all_16_7 = e23)
% 241.57/47.55    (14)  op2(e24, e23) = e22
% 241.57/47.55    (15)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 241.57/47.55              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 241.57/47.55            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.57/47.55    (16)   ~ (e24 = e21)
% 241.57/47.55    (17)   ~ (e22 = e21)
% 241.57/47.55    (18)  all_24_23 = e23 & op2(e20, e21) = e23
% 241.57/47.55    (19)  op2(e23, e22) = e20
% 241.57/47.55    (20)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 241.57/47.55              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 241.57/47.55            e20 & op2(e20, e21) = e20)
% 241.57/47.55    (21)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 241.57/47.55              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 241.57/47.55            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 241.57/47.55    (22)   ~ (all_16_8 = e23)
% 241.57/47.55    (23)  op2(e22, e23) = all_16_7
% 241.57/47.55    (24)   ~ (all_16_19 = e24)
% 241.57/47.55    (25)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.55            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.55            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.55    (26)   ~ (e21 = e20)
% 241.57/47.55    (27)   ~ (e24 = e22)
% 241.57/47.55    (28)   ~ (e24 = e23)
% 241.57/47.55    (29)  op2(e23, e21) = all_10_1
% 241.57/47.55    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.55            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.57/47.55            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.57/47.55    (31)  op2(e20, e21) = all_16_19
% 241.57/47.55    (32)  all_24_17 = e22
% 241.57/47.55    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.55            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.55            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.55    (34)  all_24_5 = e20
% 241.57/47.56    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.56            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.56            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.56  
% 241.57/47.56  Begin of proof
% 241.57/47.56  | 
% 241.57/47.56  | ALPHA: (18) implies:
% 241.57/47.56  |   (36)  all_24_23 = e23
% 241.57/47.56  | 
% 241.57/47.56  | BETA: splitting (30) gives:
% 241.57/47.56  | 
% 241.57/47.56  | Case 1:
% 241.57/47.56  | | 
% 241.57/47.56  | |   (37)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 241.57/47.56  | |             e23) = e23)
% 241.57/47.56  | | 
% 241.57/47.56  | | REF_CLOSE: (3), (7), (8), (11), (14), (37) are inconsistent by sub-proof
% 241.57/47.56  | |            #955.
% 241.57/47.56  | | 
% 241.57/47.56  | Case 2:
% 241.57/47.56  | | 
% 241.57/47.56  | |   (38)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 241.57/47.56  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.57/47.56  | | 
% 241.57/47.56  | | BETA: splitting (38) gives:
% 241.57/47.56  | | 
% 241.57/47.56  | | Case 1:
% 241.57/47.56  | | | 
% 241.57/47.56  | | |   (39)  all_24_7 = e23 & op2(e22, e23) = e23
% 241.57/47.56  | | | 
% 241.57/47.56  | | | REF_CLOSE: (11), (13), (23), (39) are inconsistent by sub-proof #954.
% 241.57/47.56  | | | 
% 241.57/47.56  | | Case 2:
% 241.57/47.56  | | | 
% 241.57/47.56  | | |   (40)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 241.57/47.56  | | |           op2(e20, e23) = e23)
% 241.57/47.56  | | | 
% 241.57/47.56  | | | BETA: splitting (40) gives:
% 241.57/47.56  | | | 
% 241.57/47.56  | | | Case 1:
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | |   (41)  all_24_13 = e23 & op2(e21, e23) = e23
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | | REF_CLOSE: (10), (11), (22), (41) are inconsistent by sub-proof #953.
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | Case 2:
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | |   (42)  all_24_21 = e23 & op2(e20, e23) = e23
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | | ALPHA: (42) implies:
% 241.57/47.56  | | | |   (43)  all_24_21 = e23
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | | BETA: splitting (20) gives:
% 241.57/47.56  | | | | 
% 241.57/47.56  | | | | Case 1:
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | |   (44)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 241.57/47.56  | | | | |           op2(e20, e23) = e20)
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | | BETA: splitting (44) gives:
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | | Case 1:
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | |   (45)  all_24_20 = e20 & op2(e20, e24) = e20
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | ALPHA: (45) implies:
% 241.57/47.56  | | | | | |   (46)  all_24_20 = e20
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | BETA: splitting (21) gives:
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | Case 1:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | |   (47)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22
% 241.57/47.56  | | | | | | |           & op2(e20, e23) = e22)
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | BETA: splitting (47) gives:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (48)  all_24_20 = e22 & op2(e20, e24) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | ALPHA: (48) implies:
% 241.57/47.56  | | | | | | | |   (49)  all_24_20 = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (12), (16), (17), (25),
% 241.57/47.56  | | | | | | | |            (26), (27), (28), (32), (33), (34), (35), (46), (49)
% 241.57/47.56  | | | | | | | |            are inconsistent by sub-proof #194.
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (50)  all_24_21 = e22 & op2(e20, e23) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | REF_CLOSE: (8), (43), (50) are inconsistent by sub-proof #193.
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | End of split
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | Case 2:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | |   (51)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22
% 241.57/47.56  | | | | | | |           & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20,
% 241.57/47.56  | | | | | | |             e20) = e22)
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | BETA: splitting (51) gives:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (52)  all_24_22 = e22 & op2(e20, e22) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | ALPHA: (52) implies:
% 241.57/47.56  | | | | | | | |   (53)  all_24_22 = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | BETA: splitting (15) gives:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (54)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 =
% 241.57/47.56  | | | | | | | | |           e21 & op2(e20, e23) = e21)
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (54) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (55)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (26), (46), (55) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | |            #304.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (56)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (43), (56) are
% 241.57/47.56  | | | | | | | | | |            inconsistent by sub-proof #192.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (57)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 241.57/47.56  | | | | | | | | |           e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 241.57/47.56  | | | | | | | | |           op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (57) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (58)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | ALPHA: (58) implies:
% 241.57/47.56  | | | | | | | | | |   (59)  all_24_22 = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | COMBINE_EQS: (53), (59) imply:
% 241.57/47.56  | | | | | | | | | |   (60)  e22 = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | COMBINE_EQS: (32), (60) imply:
% 241.57/47.56  | | | | | | | | | |   (61)  all_24_17 = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (11), (12), (16),
% 241.57/47.56  | | | | | | | | | |            (17), (19), (25), (27), (28), (29), (33), (34),
% 241.57/47.56  | | | | | | | | | |            (35), (61) are inconsistent by sub-proof #204.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (62)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24
% 241.57/47.56  | | | | | | | | | |           = e21 & op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (62) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (63)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (36), (63) are
% 241.57/47.56  | | | | | | | | | | |            inconsistent by sub-proof #191.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (64)  all_24_24 = e21 & op2(e20, e20) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | ALPHA: (64) implies:
% 241.57/47.56  | | | | | | | | | | |   (65)  all_24_24 = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (7), (8), (10), (11), (13), (14),
% 241.57/47.56  | | | | | | | | | | |            (16), (22), (23), (24), (27), (28), (30), (31),
% 241.57/47.56  | | | | | | | | | | |            (46), (53), (65) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | |            #372.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (66)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 =
% 241.57/47.56  | | | | | | | |           e22 & op2(e20, e20) = e22)
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | BETA: splitting (66) gives:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (67)  all_24_23 = e22 & op2(e20, e21) = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | REF_CLOSE: (8), (36), (67) are inconsistent by sub-proof #190.
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (68)  all_24_24 = e22 & op2(e20, e20) = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | ALPHA: (68) implies:
% 241.57/47.56  | | | | | | | | |   (69)  all_24_24 = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (15) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (70)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21
% 241.57/47.56  | | | | | | | | | |           = e21 & op2(e20, e23) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (70) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (71)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (26), (46), (71) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | |            #304.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (72)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (43), (72) are
% 241.57/47.56  | | | | | | | | | | |            inconsistent by sub-proof #192.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (73)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23
% 241.57/47.56  | | | | | | | | | |           = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 241.57/47.56  | | | | | | | | | |           op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (73) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (74)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | ALPHA: (74) implies:
% 241.57/47.56  | | | | | | | | | | |   (75)  all_24_22 = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (7), (8), (10), (11), (13), (14),
% 241.57/47.56  | | | | | | | | | | |            (16), (22), (23), (24), (27), (28), (30), (31),
% 241.57/47.56  | | | | | | | | | | |            (46), (69), (75) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | |            #350.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (76)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 241.57/47.56  | | | | | | | | | | |         (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (12),
% 241.57/47.56  | | | | | | | | | | |            (16), (17), (19), (25), (27), (28), (29), (32),
% 241.57/47.56  | | | | | | | | | | |            (33), (34), (35), (36), (69), (76) are
% 241.57/47.56  | | | | | | | | | | |            inconsistent by sub-proof #189.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | End of split
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | End of split
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | Case 2:
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | |   (77)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (11), (12), (16), (17),
% 241.57/47.56  | | | | | |            (19), (26), (27), (28), (29), (32), (33), (35), (43),
% 241.57/47.56  | | | | | |            (77) are inconsistent by sub-proof #213.
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | End of split
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | Case 2:
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | |   (78)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 241.57/47.56  | | | | |           op2(e20, e21) = e20)
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | | BETA: splitting (78) gives:
% 241.57/47.56  | | | | | 
% 241.57/47.56  | | | | | Case 1:
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | |   (79)  all_24_22 = e20 & op2(e20, e22) = e20
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | ALPHA: (79) implies:
% 241.57/47.56  | | | | | |   (80)  all_24_22 = e20
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | BETA: splitting (21) gives:
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | | Case 1:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | |   (81)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22
% 241.57/47.56  | | | | | | |           & op2(e20, e23) = e22)
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | BETA: splitting (81) gives:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (82)  all_24_20 = e22 & op2(e20, e24) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | ALPHA: (82) implies:
% 241.57/47.56  | | | | | | | |   (83)  all_24_20 = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | BETA: splitting (15) gives:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (84)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 =
% 241.57/47.56  | | | | | | | | |           e21 & op2(e20, e23) = e21)
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (84) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (85)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (11), (12), (16),
% 241.57/47.56  | | | | | | | | | |            (17), (19), (25), (27), (28), (29), (32), (33),
% 241.57/47.56  | | | | | | | | | |            (34), (35), (83), (85) are inconsistent by
% 241.57/47.56  | | | | | | | | | |            sub-proof #188.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (86)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (43), (86) are
% 241.57/47.56  | | | | | | | | | |            inconsistent by sub-proof #192.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (87)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 241.57/47.56  | | | | | | | | |           e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 241.57/47.56  | | | | | | | | |           op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (87) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (88)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | REF_CLOSE: (26), (80), (88) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | |            #187.
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (89)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24
% 241.57/47.56  | | | | | | | | | |           = e21 & op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (89) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (90)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (36), (90) are
% 241.57/47.56  | | | | | | | | | | |            inconsistent by sub-proof #191.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (91)  all_24_24 = e21 & op2(e20, e20) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | ALPHA: (91) implies:
% 241.57/47.56  | | | | | | | | | | |   (92)  all_24_24 = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | BETA: splitting (4) gives:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | |   (93)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 241.57/47.56  | | | | | | | | | | | |         (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | BETA: splitting (93) gives:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (94)  all_24_20 = e24 & op2(e20, e24) = e24
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | ALPHA: (94) implies:
% 241.57/47.56  | | | | | | | | | | | | |   (95)  all_24_20 = e24
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | COMBINE_EQS: (83), (95) imply:
% 241.57/47.56  | | | | | | | | | | | | |   (96)  e24 = e22
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | SIMP: (96) implies:
% 241.57/47.56  | | | | | | | | | | | | |   (97)  e24 = e22
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REDUCE: (27), (97) imply:
% 241.57/47.56  | | | | | | | | | | | | |   (98)  $false
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | CLOSE: (98) is inconsistent.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (99)  all_24_21 = e24 & op2(e20, e23) = e24
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REF_CLOSE: (3), (7), (8), (10), (11), (13), (14), (22), (23),
% 241.57/47.56  | | | | | | | | | | | | |            (28), (30), (99) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | | | |            #837.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | |   (100)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 241.57/47.56  | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 241.57/47.56  | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | BETA: splitting (100) gives:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (101)  all_24_22 = e24 & op2(e20, e22) = e24
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REF_CLOSE: (1), (80), (101) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | | | |            #291.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (102)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 241.57/47.56  | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REF_CLOSE: (11), (16), (24), (31), (92), (102) are
% 241.57/47.56  | | | | | | | | | | | | |            inconsistent by sub-proof #373.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (103)  all_24_21 = e22 & op2(e20, e23) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | REF_CLOSE: (8), (43), (103) are inconsistent by sub-proof #193.
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | End of split
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | Case 2:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | |   (104)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 241.57/47.56  | | | | | | |            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 241.57/47.56  | | | | | | |            op2(e20, e20) = e22)
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | BETA: splitting (104) gives:
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (105)  all_24_22 = e22 & op2(e20, e22) = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | ALPHA: (105) implies:
% 241.57/47.56  | | | | | | | |   (106)  all_24_22 = e22
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | COMBINE_EQS: (80), (106) imply:
% 241.57/47.56  | | | | | | | |   (107)  e22 = e20
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | SIMP: (107) implies:
% 241.57/47.56  | | | | | | | |   (108)  e22 = e20
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | COMBINE_EQS: (32), (108) imply:
% 241.57/47.56  | | | | | | | |   (109)  all_24_17 = e20
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (12), (16), (17), (25),
% 241.57/47.56  | | | | | | | |            (26), (27), (28), (33), (34), (35), (109) are
% 241.57/47.56  | | | | | | | |            inconsistent by sub-proof #221.
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | |   (110)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 =
% 241.57/47.56  | | | | | | | |            e22 & op2(e20, e20) = e22)
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | BETA: splitting (110) gives:
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (111)  all_24_23 = e22 & op2(e20, e21) = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | REF_CLOSE: (8), (36), (111) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | |            #190.
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | |   (112)  all_24_24 = e22 & op2(e20, e20) = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | ALPHA: (112) implies:
% 241.57/47.56  | | | | | | | | |   (113)  all_24_24 = e22
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | BETA: splitting (15) gives:
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (114)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 241.57/47.56  | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (114) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (115)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | ALPHA: (115) implies:
% 241.57/47.56  | | | | | | | | | | |   (116)  all_24_20 = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | BETA: splitting (4) gives:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | |   (117)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 241.57/47.56  | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | REF_CLOSE: (3), (7), (8), (10), (11), (13), (14), (16), (22),
% 241.57/47.56  | | | | | | | | | | | |            (23), (28), (30), (116), (117) are inconsistent by
% 241.57/47.56  | | | | | | | | | | | |            sub-proof #575.
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | |   (118)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 241.57/47.56  | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 241.57/47.56  | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | BETA: splitting (118) gives:
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (119)  all_24_22 = e24 & op2(e20, e22) = e24
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REF_CLOSE: (1), (80), (119) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | | | |            #291.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | |   (120)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 241.57/47.56  | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | | REF_CLOSE: (11), (24), (27), (31), (113), (120) are
% 241.57/47.56  | | | | | | | | | | | | |            inconsistent by sub-proof #351.
% 241.57/47.56  | | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (121)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (11), (12), (16), (19),
% 241.57/47.56  | | | | | | | | | | |            (27), (28), (29), (32), (33), (35), (43), (121)
% 241.57/47.56  | | | | | | | | | | |            are inconsistent by sub-proof #192.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | |   (122)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 241.57/47.56  | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 241.57/47.56  | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | BETA: splitting (122) gives:
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 1:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (123)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (26), (80), (123) are inconsistent by sub-proof
% 241.57/47.56  | | | | | | | | | | |            #187.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | Case 2:
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | |   (124)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 241.57/47.56  | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (12),
% 241.57/47.56  | | | | | | | | | | |            (16), (17), (19), (25), (27), (28), (29), (32),
% 241.57/47.56  | | | | | | | | | | |            (33), (34), (35), (36), (113), (124) are
% 241.57/47.56  | | | | | | | | | | |            inconsistent by sub-proof #189.
% 241.57/47.56  | | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | | 
% 241.57/47.56  | | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | | 
% 241.57/47.56  | | | | | | | | End of split
% 241.57/47.56  | | | | | | | | 
% 241.57/47.56  | | | | | | | End of split
% 241.57/47.56  | | | | | | | 
% 241.57/47.56  | | | | | | End of split
% 241.57/47.56  | | | | | | 
% 241.57/47.56  | | | | | Case 2:
% 241.57/47.56  | | | | | | 
% 241.57/47.57  | | | | | |   (125)  all_24_23 = e20 & op2(e20, e21) = e20
% 241.57/47.57  | | | | | | 
% 241.57/47.57  | | | | | | ALPHA: (125) implies:
% 241.57/47.57  | | | | | |   (126)  all_24_23 = e20
% 241.57/47.57  | | | | | | 
% 241.57/47.57  | | | | | | COMBINE_EQS: (36), (126) imply:
% 241.57/47.57  | | | | | |   (127)  e23 = e20
% 241.57/47.57  | | | | | | 
% 241.57/47.57  | | | | | | COMBINE_EQS: (2), (127) imply:
% 241.57/47.57  | | | | | |   (128)  all_24_2 = e20
% 241.57/47.57  | | | | | | 
% 241.57/47.57  | | | | | | REF_CLOSE: (1), (3), (5), (6), (8), (11), (12), (16), (17), (19),
% 241.57/47.57  | | | | | |            (26), (27), (28), (29), (32), (33), (35), (128) are
% 241.57/47.57  | | | | | |            inconsistent by sub-proof #1308.
% 241.57/47.57  | | | | | | 
% 241.57/47.57  | | | | | End of split
% 241.57/47.57  | | | | | 
% 241.57/47.57  | | | | End of split
% 241.57/47.57  | | | | 
% 241.57/47.57  | | | End of split
% 241.57/47.57  | | | 
% 241.57/47.57  | | End of split
% 241.57/47.57  | | 
% 241.57/47.57  | End of split
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #187 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.57/47.57    (2)  all_24_22 = e20
% 241.57/47.57    (3)   ~ (e21 = e20)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (1) implies:
% 241.57/47.57  |   (4)  all_24_22 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (2), (4) imply:
% 241.57/47.57  |   (5)  e21 = e20
% 241.57/47.57  | 
% 241.57/47.57  | SIMP: (5) implies:
% 241.57/47.57  |   (6)  e21 = e20
% 241.57/47.57  | 
% 241.57/47.57  | REDUCE: (3), (6) imply:
% 241.57/47.57  |   (7)  $false
% 241.57/47.57  | 
% 241.57/47.57  | CLOSE: (7) is inconsistent.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #188 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.57/47.57    (2)   ~ (e24 = e20)
% 241.57/47.57    (3)   ~ (e23 = e21)
% 241.57/47.57    (4)  op2(e23, e21) = e24
% 241.57/47.57    (5)  op2(e23, e23) = e21
% 241.57/47.57    (6)   ~ (e23 = e22)
% 241.57/47.57    (7)   ~ (e22 = e20)
% 241.57/47.57    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.57           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.57    (9)   ~ (e23 = e20)
% 241.57/47.57    (10)   ~ (e24 = e21)
% 241.57/47.57    (11)   ~ (e22 = e21)
% 241.57/47.57    (12)  op2(e23, e22) = e20
% 241.57/47.57    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.57            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.57            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.57    (14)   ~ (e24 = e22)
% 241.57/47.57    (15)   ~ (e24 = e23)
% 241.57/47.57    (16)  op2(e23, e21) = all_10_1
% 241.57/47.57    (17)  all_24_17 = e22
% 241.57/47.57    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.57            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.57            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.57    (19)  all_24_20 = e22
% 241.57/47.57    (20)  all_24_5 = e20
% 241.57/47.57    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.57            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.57            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (1) implies:
% 241.57/47.57  |   (22)  all_24_20 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (19), (22) imply:
% 241.57/47.57  |   (23)  e22 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (17), (23) imply:
% 241.57/47.57  |   (24)  all_24_17 = e21
% 241.57/47.57  | 
% 241.57/47.57  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 241.57/47.57  |            (14), (15), (16), (18), (20), (21), (24) are inconsistent by
% 241.57/47.57  |            sub-proof #204.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #189 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20,
% 241.57/47.57             e20) = e21)
% 241.57/47.57    (2)   ~ (e24 = e20)
% 241.57/47.57    (3)  all_24_2 = e23
% 241.57/47.57    (4)   ~ (e23 = e21)
% 241.57/47.57    (5)  op2(e23, e21) = e24
% 241.57/47.57    (6)  op2(e23, e23) = e21
% 241.57/47.57    (7)   ~ (e23 = e22)
% 241.57/47.57    (8)   ~ (e22 = e20)
% 241.57/47.57    (9)  all_24_24 = e22
% 241.57/47.57    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.57            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.57    (11)   ~ (e23 = e20)
% 241.57/47.57    (12)   ~ (e24 = e21)
% 241.57/47.57    (13)   ~ (e22 = e21)
% 241.57/47.57    (14)  op2(e23, e22) = e20
% 241.57/47.57    (15)  all_24_23 = e23
% 241.57/47.57    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.57            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.57            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.57    (17)   ~ (e24 = e22)
% 241.57/47.57    (18)   ~ (e24 = e23)
% 241.57/47.57    (19)  op2(e23, e21) = all_10_1
% 241.57/47.57    (20)  all_24_17 = e22
% 241.57/47.57    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.57            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.57            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.57    (22)  all_24_5 = e20
% 241.57/47.57    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.57            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.57            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | BETA: splitting (1) gives:
% 241.57/47.57  | 
% 241.57/47.57  | Case 1:
% 241.57/47.57  | | 
% 241.57/47.57  | |   (24)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.57/47.57  | | 
% 241.57/47.57  | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (11), (12), (14), (15), (17),
% 241.57/47.57  | |            (18), (19), (20), (21), (23), (24) are inconsistent by sub-proof
% 241.57/47.57  | |            #191.
% 241.57/47.57  | | 
% 241.57/47.57  | Case 2:
% 241.57/47.57  | | 
% 241.57/47.57  | |   (25)  all_24_24 = e21 & op2(e20, e20) = e21
% 241.57/47.57  | | 
% 241.57/47.57  | | ALPHA: (25) implies:
% 241.57/47.57  | |   (26)  all_24_24 = e21
% 241.57/47.57  | | 
% 241.57/47.57  | | COMBINE_EQS: (9), (26) imply:
% 241.57/47.57  | |   (27)  e22 = e21
% 241.57/47.57  | | 
% 241.57/47.57  | | COMBINE_EQS: (20), (27) imply:
% 241.57/47.57  | |   (28)  all_24_17 = e21
% 241.57/47.57  | | 
% 241.57/47.57  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (16),
% 241.57/47.57  | |            (17), (18), (19), (21), (22), (23), (28) are inconsistent by
% 241.57/47.57  | |            sub-proof #204.
% 241.57/47.57  | | 
% 241.57/47.57  | End of split
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #190 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_23 = e22 & op2(e20, e21) = e22
% 241.57/47.57    (2)  all_24_23 = e23
% 241.57/47.57    (3)   ~ (e23 = e22)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (1) implies:
% 241.57/47.57  |   (4)  all_24_23 = e22
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (2), (4) imply:
% 241.57/47.57  |   (5)  e23 = e22
% 241.57/47.57  | 
% 241.57/47.57  | REDUCE: (3), (5) imply:
% 241.57/47.57  |   (6)  $false
% 241.57/47.57  | 
% 241.57/47.57  | CLOSE: (6) is inconsistent.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #191 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_2 = e23
% 241.57/47.57    (2)   ~ (e23 = e21)
% 241.57/47.57    (3)  op2(e23, e21) = e24
% 241.57/47.57    (4)  op2(e23, e23) = e21
% 241.57/47.57    (5)   ~ (e23 = e22)
% 241.57/47.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.57           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.57    (7)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.57/47.57    (8)   ~ (e23 = e20)
% 241.57/47.57    (9)   ~ (e24 = e21)
% 241.57/47.57    (10)  op2(e23, e22) = e20
% 241.57/47.57    (11)  all_24_23 = e23
% 241.57/47.57    (12)   ~ (e24 = e22)
% 241.57/47.57    (13)   ~ (e24 = e23)
% 241.57/47.57    (14)  op2(e23, e21) = all_10_1
% 241.57/47.57    (15)  all_24_17 = e22
% 241.57/47.57    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.57            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.57            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.57    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.57            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.57            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (7) implies:
% 241.57/47.57  |   (18)  all_24_23 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (11), (18) imply:
% 241.57/47.57  |   (19)  e23 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (1), (19) imply:
% 241.57/47.57  |   (20)  all_24_2 = e21
% 241.57/47.57  | 
% 241.57/47.57  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (14), (15),
% 241.57/47.57  |            (16), (17), (20) are inconsistent by sub-proof #1299.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #192 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.57/47.57    (2)  all_24_2 = e23
% 241.57/47.57    (3)   ~ (e23 = e21)
% 241.57/47.57    (4)  op2(e23, e21) = e24
% 241.57/47.57    (5)  op2(e23, e23) = e21
% 241.57/47.57    (6)   ~ (e23 = e22)
% 241.57/47.57    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.57           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.57    (8)  all_24_21 = e23
% 241.57/47.57    (9)   ~ (e23 = e20)
% 241.57/47.57    (10)   ~ (e24 = e21)
% 241.57/47.57    (11)  op2(e23, e22) = e20
% 241.57/47.57    (12)   ~ (e24 = e22)
% 241.57/47.57    (13)   ~ (e24 = e23)
% 241.57/47.57    (14)  op2(e23, e21) = all_10_1
% 241.57/47.57    (15)  all_24_17 = e22
% 241.57/47.57    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.57            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.57            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.57    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.57            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.57            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (1) implies:
% 241.57/47.57  |   (18)  all_24_21 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (8), (18) imply:
% 241.57/47.57  |   (19)  e23 = e21
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (2), (19) imply:
% 241.57/47.57  |   (20)  all_24_2 = e21
% 241.57/47.57  | 
% 241.57/47.57  | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 241.57/47.57  |            (16), (17), (20) are inconsistent by sub-proof #1299.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #193 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  all_24_21 = e22 & op2(e20, e23) = e22
% 241.57/47.57    (2)  all_24_21 = e23
% 241.57/47.57    (3)   ~ (e23 = e22)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | ALPHA: (1) implies:
% 241.57/47.57  |   (4)  all_24_21 = e22
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (2), (4) imply:
% 241.57/47.57  |   (5)  e23 = e22
% 241.57/47.57  | 
% 241.57/47.57  | REDUCE: (3), (5) imply:
% 241.57/47.57  |   (6)  $false
% 241.57/47.57  | 
% 241.57/47.57  | CLOSE: (6) is inconsistent.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #194 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)   ~ (e24 = e20)
% 241.57/47.57    (2)   ~ (e23 = e21)
% 241.57/47.57    (3)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.57           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.57           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.57    (4)   ~ (e23 = e22)
% 241.57/47.57    (5)   ~ (e22 = e20)
% 241.57/47.57    (6)   ~ (e23 = e20)
% 241.57/47.57    (7)   ~ (e24 = e21)
% 241.57/47.57    (8)   ~ (e22 = e21)
% 241.57/47.57    (9)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.57           = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.57           op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.57    (10)   ~ (e21 = e20)
% 241.57/47.57    (11)   ~ (e24 = e22)
% 241.57/47.57    (12)   ~ (e24 = e23)
% 241.57/47.57    (13)  all_24_20 = e20
% 241.57/47.57    (14)  all_24_17 = e22
% 241.57/47.57    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.57            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.57            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.57    (16)  all_24_20 = e22
% 241.57/47.57    (17)  all_24_5 = e20
% 241.57/47.57    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.57            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.57            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.57  
% 241.57/47.57  Begin of proof
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (13), (16) imply:
% 241.57/47.57  |   (19)  e22 = e20
% 241.57/47.57  | 
% 241.57/47.57  | SIMP: (19) implies:
% 241.57/47.57  |   (20)  e22 = e20
% 241.57/47.57  | 
% 241.57/47.57  | COMBINE_EQS: (14), (20) imply:
% 241.57/47.57  |   (21)  all_24_17 = e20
% 241.57/47.57  | 
% 241.57/47.57  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.57/47.57  |            (15), (17), (18), (21) are inconsistent by sub-proof #221.
% 241.57/47.57  | 
% 241.57/47.57  End of proof
% 241.57/47.57  
% 241.57/47.57  Sub-proof #195 shows that the following formulas are inconsistent:
% 241.57/47.57  ----------------------------------------------------------------
% 241.57/47.57    (1)  op2(e24, e22) = all_16_10
% 241.57/47.57    (2)  op2(e24, e20) = e23
% 241.57/47.57    (3)   ~ (all_16_20 = all_16_22)
% 241.57/47.57    (4)  op2(e22, unit2) = e22
% 241.57/47.57    (5)  op2(unit2, e24) = e24
% 241.57/47.57    (6)  op2(e23, unit2) = e23
% 241.57/47.57    (7)   ~ (unit2 = e23)
% 241.57/47.57    (8)  op2(e20, e24) = all_16_4
% 241.57/47.57    (9)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 241.57/47.57             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 241.57/47.57           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.57/47.57    (10)   ~ (e24 = e20)
% 241.57/47.57    (11)  all_24_2 = e23
% 241.57/47.57    (12)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.57/47.57              e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.57/47.57            e20 & op2(e21, e20) = e20)
% 241.57/47.57    (13)   ~ (e23 = e21)
% 241.57/47.57    (14)   ~ (all_16_8 = all_16_9)
% 241.57/47.57    (15)  op2(e23, e21) = e24
% 241.57/47.58    (16)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.58            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.58            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.58    (17)  op2(e23, e23) = e21
% 241.57/47.58    (18)  op2(e22, e20) = all_16_22
% 241.57/47.58    (19)  op2(e20, unit2) = e20
% 241.57/47.58    (20)   ~ (all_16_9 = e21)
% 241.57/47.58    (21)   ~ (e22 = e20)
% 241.57/47.58    (22)  op2(e21, e23) = all_16_8
% 241.57/47.58    (23)   ~ (all_16_4 = all_16_9)
% 241.57/47.58    (24)   ~ (all_16_7 = all_16_8)
% 241.57/47.58    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.58            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.58    (26)  op2(unit2, e20) = e20
% 241.57/47.58    (27)   ~ (all_16_8 = e21)
% 241.57/47.58    (28)   ~ (all_16_22 = e22)
% 241.57/47.58    (29)   ~ (e23 = e20)
% 241.57/47.58    (30)   ~ (all_16_7 = e23)
% 241.57/47.58    (31)  op2(e24, e23) = e22
% 241.57/47.58    (32)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 241.57/47.58              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 241.57/47.58            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.57/47.58    (33)   ~ (all_16_10 = e22)
% 241.57/47.58    (34)   ~ (e24 = e21)
% 241.57/47.58    (35)  op2(e20, e22) = all_16_14
% 241.57/47.58    (36)   ~ (e22 = e21)
% 241.57/47.58    (37)  op2(e24, unit2) = e24
% 241.57/47.58    (38)  op2(e23, e22) = e20
% 241.57/47.58    (39)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 241.57/47.58              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 241.57/47.58            e20 & op2(e20, e21) = e20)
% 241.57/47.58    (40)   ~ (all_16_7 = all_16_9)
% 241.57/47.58    (41)   ~ (all_16_20 = e22)
% 241.57/47.58    (42)   ~ (all_16_14 = e20)
% 241.57/47.58    (43)  op2(e24, e20) = all_16_20
% 241.57/47.58    (44)  all_20_16 = e24 | all_20_16 = e23 | all_20_16 = e22 | all_20_16 = e21 |
% 241.57/47.58          all_20_16 = e20
% 241.57/47.58    (45)  all_24_1 = e22
% 241.57/47.58    (46)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.58    (47)  op2(e20, e23) = all_16_9
% 241.57/47.58    (48)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.58            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.57/47.58            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.57/47.58    (49)  op2(e22, e23) = all_16_7
% 241.57/47.58    (50)   ~ (all_16_9 = e22)
% 241.57/47.58    (51)  op2(unit2, e22) = e22
% 241.57/47.58    (52)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.58            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.58            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.58    (53)  all_24_16 = e23
% 241.57/47.58    (54)   ~ (all_16_7 = e22)
% 241.57/47.58    (55)   ~ (e21 = e20)
% 241.57/47.58    (56)   ~ (e24 = e22)
% 241.57/47.58    (57)   ~ (all_16_7 = e21)
% 241.57/47.58    (58)   ~ (e24 = e23)
% 241.57/47.58    (59)  op2(e23, e21) = all_10_1
% 241.57/47.58    (60)  all_20_16 = all_16_8
% 241.57/47.58    (61)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.58            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.57/47.58            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.57/47.58    (62)  op2(e21, unit2) = e21
% 241.57/47.58    (63)   ~ (all_16_8 = e22)
% 241.57/47.58    (64)  op2(e23, e20) = e22
% 241.57/47.58    (65)  all_24_17 = e22
% 241.57/47.58    (66)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.58            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.58            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.58    (67)  all_24_5 = e20
% 241.57/47.58    (68)  op2(unit2, e23) = e23
% 241.57/47.58    (69)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.57/47.58            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.57/47.58            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.57/47.58    (70)  all_24_3 = e21
% 241.57/47.58    (71)   ~ (all_16_7 = all_16_22)
% 241.57/47.58    (72)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.58            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.58            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.58  
% 241.57/47.58  Begin of proof
% 241.57/47.58  | 
% 241.57/47.58  | GROUND_INST: instantiating (25) with all_16_20, e23, e20, e24, simplifying
% 241.57/47.58  |              with (2), (43) gives:
% 241.57/47.58  |   (73)  all_16_20 = e23
% 241.57/47.58  | 
% 241.57/47.58  | REDUCE: (3), (73) imply:
% 241.57/47.58  |   (74)   ~ (all_16_22 = e23)
% 241.57/47.58  | 
% 241.57/47.58  | SIMP: (74) implies:
% 241.57/47.58  |   (75)   ~ (all_16_22 = e23)
% 241.57/47.58  | 
% 241.57/47.58  | REDUCE: (41), (73) imply:
% 241.57/47.58  |   (76)   ~ (e23 = e22)
% 241.57/47.58  | 
% 241.57/47.58  | BETA: splitting (44) gives:
% 241.57/47.58  | 
% 241.57/47.58  | Case 1:
% 241.57/47.58  | | 
% 241.57/47.58  | |   (77)  all_20_16 = e23
% 241.57/47.58  | | 
% 241.57/47.58  | | COMBINE_EQS: (60), (77) imply:
% 241.57/47.58  | |   (78)  all_16_8 = e23
% 241.57/47.58  | | 
% 241.57/47.58  | | REDUCE: (14), (78) imply:
% 241.57/47.58  | |   (79)   ~ (all_16_9 = e23)
% 241.57/47.58  | | 
% 241.57/47.58  | | SIMP: (79) implies:
% 241.57/47.58  | |   (80)   ~ (all_16_9 = e23)
% 241.57/47.58  | | 
% 241.57/47.58  | | BETA: splitting (61) gives:
% 241.57/47.58  | | 
% 241.57/47.58  | | Case 1:
% 241.57/47.58  | | | 
% 241.57/47.58  | | |   (81)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 &
% 241.57/47.58  | | |           op2(e23, e23) = e23)
% 241.57/47.58  | | | 
% 241.57/47.58  | | | REF_CLOSE: (13), (17), (25), (31), (76), (81) are inconsistent by
% 241.57/47.58  | | |            sub-proof #955.
% 241.57/47.58  | | | 
% 241.57/47.58  | | Case 2:
% 241.57/47.58  | | | 
% 241.57/47.58  | | |   (82)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.57/47.58  | | |           op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.57/47.58  | | | 
% 241.57/47.58  | | | BETA: splitting (82) gives:
% 241.57/47.58  | | | 
% 241.57/47.58  | | | Case 1:
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | |   (83)  all_24_7 = e23 & op2(e22, e23) = e23
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | | REF_CLOSE: (25), (30), (49), (83) are inconsistent by sub-proof #954.
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | Case 2:
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | |   (84)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 241.57/47.58  | | | |           op2(e20, e23) = e23)
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | | BETA: splitting (84) gives:
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | | Case 1:
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | |   (85)  all_24_13 = e23 & op2(e21, e23) = e23
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | | ALPHA: (85) implies:
% 241.57/47.58  | | | | |   (86)  all_24_13 = e23
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | | BETA: splitting (48) gives:
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | | Case 1:
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | |   (87)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 &
% 241.57/47.58  | | | | | |           op2(e23, e23) = e24)
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | | BETA: splitting (87) gives:
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | | Case 1:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | |   (88)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | REF_CLOSE: (45), (56), (88) are inconsistent by sub-proof #870.
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | Case 2:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | |   (89)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | REF_CLOSE: (34), (70), (89) are inconsistent by sub-proof #1323.
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | End of split
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | Case 2:
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | |   (90)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.57/47.58  | | | | | |           op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) =
% 241.57/47.58  | | | | | |           e24)
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | | BETA: splitting (90) gives:
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | | Case 1:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | |   (91)  all_24_7 = e24 & op2(e22, e23) = e24
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | ALPHA: (91) implies:
% 241.57/47.58  | | | | | | |   (92)  all_24_7 = e24
% 241.57/47.58  | | | | | | |   (93)  op2(e22, e23) = e24
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | BETA: splitting (69) gives:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | |   (94)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20
% 241.57/47.58  | | | | | | | |           & op2(e23, e23) = e20)
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | BETA: splitting (94) gives:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (95)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | REF_CLOSE: (21), (25), (31), (95) are inconsistent by
% 241.57/47.58  | | | | | | | | |            sub-proof #911.
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (96)  all_24_3 = e20 & op2(e23, e23) = e20
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | REF_CLOSE: (17), (25), (55), (96) are inconsistent by
% 241.57/47.58  | | | | | | | | |            sub-proof #1306.
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | |   (97)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 241.57/47.58  | | | | | | | |           e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 241.57/47.58  | | | | | | | |           op2(e20, e23) = e20)
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | BETA: splitting (97) gives:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (98)  all_24_7 = e20 & op2(e22, e23) = e20
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | REF_CLOSE: (10), (92), (98) are inconsistent by sub-proof
% 241.57/47.58  | | | | | | | | |            #847.
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (99)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 =
% 241.57/47.58  | | | | | | | | |           e20 & op2(e20, e23) = e20)
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | BETA: splitting (99) gives:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (100)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REF_CLOSE: (10), (11), (13), (15), (16), (25), (29), (34),
% 241.57/47.58  | | | | | | | | | |            (36), (38), (55), (56), (58), (59), (65), (66),
% 241.57/47.58  | | | | | | | | | |            (72), (76), (86), (100) are inconsistent by
% 241.57/47.58  | | | | | | | | | |            sub-proof #197.
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (101)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | ALPHA: (101) implies:
% 241.57/47.58  | | | | | | | | | |   (102)  op2(e20, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | GROUND_INST: instantiating (25) with all_16_9, e20, e23, e20,
% 241.57/47.58  | | | | | | | | | |              simplifying with (47), (102) gives:
% 241.57/47.58  | | | | | | | | | |   (103)  all_16_9 = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | GROUND_INST: instantiating (25) with all_16_7, e24, e23, e22,
% 241.57/47.58  | | | | | | | | | |              simplifying with (49), (93) gives:
% 241.57/47.58  | | | | | | | | | |   (104)  all_16_7 = e24
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (23), (103) imply:
% 241.57/47.58  | | | | | | | | | |   (105)   ~ (all_16_4 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (80), (103) imply:
% 241.57/47.58  | | | | | | | | | |   (106)   ~ (e23 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REF_CLOSE: (6), (8), (15), (19), (25), (29), (38), (46),
% 241.57/47.58  | | | | | | | | | |            (47), (58), (59), (68), (80), (105) are
% 241.57/47.58  | | | | | | | | | |            inconsistent by sub-proof #482.
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | End of split
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | Case 2:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | |   (107)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 =
% 241.57/47.58  | | | | | | |            e24 & op2(e20, e23) = e24)
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | BETA: splitting (107) gives:
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | |   (108)  all_24_13 = e24 & op2(e21, e23) = e24
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | REF_CLOSE: (58), (86), (108) are inconsistent by sub-proof #844.
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | |   (109)  all_24_21 = e24 & op2(e20, e23) = e24
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | ALPHA: (109) implies:
% 241.57/47.58  | | | | | | | |   (110)  all_24_21 = e24
% 241.57/47.58  | | | | | | | |   (111)  op2(e20, e23) = e24
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | BETA: splitting (69) gives:
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (112)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 =
% 241.57/47.58  | | | | | | | | |            e20 & op2(e23, e23) = e20)
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | BETA: splitting (112) gives:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (113)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REF_CLOSE: (21), (25), (31), (113) are inconsistent by
% 241.57/47.58  | | | | | | | | | |            sub-proof #911.
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (114)  all_24_3 = e20 & op2(e23, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REF_CLOSE: (17), (25), (55), (114) are inconsistent by
% 241.57/47.58  | | | | | | | | | |            sub-proof #1306.
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | |   (115)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 241.57/47.58  | | | | | | | | |            e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 241.57/47.58  | | | | | | | | |            op2(e20, e23) = e20)
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | BETA: splitting (115) gives:
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (116)  all_24_7 = e20 & op2(e22, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | ALPHA: (116) implies:
% 241.57/47.58  | | | | | | | | | |   (117)  op2(e22, e23) = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | GROUND_INST: instantiating (25) with all_16_9, e24, e23, e20,
% 241.57/47.58  | | | | | | | | | |              simplifying with (47), (111) gives:
% 241.57/47.58  | | | | | | | | | |   (118)  all_16_9 = e24
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | GROUND_INST: instantiating (25) with all_16_7, e20, e23, e22,
% 241.57/47.58  | | | | | | | | | |              simplifying with (49), (117) gives:
% 241.57/47.58  | | | | | | | | | |   (119)  all_16_7 = e20
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (40), (118), (119) imply:
% 241.57/47.58  | | | | | | | | | |   (120)   ~ (e24 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (71), (119) imply:
% 241.57/47.58  | | | | | | | | | |   (121)   ~ (all_16_22 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | SIMP: (121) implies:
% 241.57/47.58  | | | | | | | | | |   (122)   ~ (all_16_22 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (30), (119) imply:
% 241.57/47.58  | | | | | | | | | |   (123)   ~ (e23 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (54), (119) imply:
% 241.57/47.58  | | | | | | | | | |   (124)   ~ (e22 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REDUCE: (57), (119) imply:
% 241.57/47.58  | | | | | | | | | |   (125)   ~ (e21 = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | REF_CLOSE: (1), (6), (7), (10), (12), (13), (15), (16), (18),
% 241.57/47.58  | | | | | | | | | |            (21), (25), (26), (29), (33), (34), (36), (37),
% 241.57/47.58  | | | | | | | | | |            (38), (46), (51), (52), (55), (56), (58), (59),
% 241.57/47.58  | | | | | | | | | |            (62), (66), (67), (72), (76), (122) are
% 241.57/47.58  | | | | | | | | | |            inconsistent by sub-proof #218.
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | |   (126)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 241.57/47.58  | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | BETA: splitting (126) gives:
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | Case 1:
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | |   (127)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (15), (16), (25), (29), (34),
% 241.57/47.58  | | | | | | | | | | |            (36), (38), (55), (56), (58), (59), (65), (66),
% 241.57/47.58  | | | | | | | | | | |            (72), (76), (86), (127) are inconsistent by
% 241.57/47.58  | | | | | | | | | | |            sub-proof #197.
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | Case 2:
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | |   (128)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | | REF_CLOSE: (10), (110), (128) are inconsistent by sub-proof
% 241.57/47.58  | | | | | | | | | | |            #196.
% 241.57/47.58  | | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | | | 
% 241.57/47.58  | | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | | 
% 241.57/47.58  | | | | | | | | End of split
% 241.57/47.58  | | | | | | | | 
% 241.57/47.58  | | | | | | | End of split
% 241.57/47.58  | | | | | | | 
% 241.57/47.58  | | | | | | End of split
% 241.57/47.58  | | | | | | 
% 241.57/47.58  | | | | | End of split
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | Case 2:
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | |   (129)  all_24_21 = e23 & op2(e20, e23) = e23
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | | ALPHA: (129) implies:
% 241.57/47.58  | | | | |   (130)  op2(e20, e23) = e23
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | | REF_CLOSE: (25), (47), (80), (130) are inconsistent by sub-proof #484.
% 241.57/47.58  | | | | | 
% 241.57/47.58  | | | | End of split
% 241.57/47.58  | | | | 
% 241.57/47.58  | | | End of split
% 241.57/47.58  | | | 
% 241.57/47.58  | | End of split
% 241.57/47.58  | | 
% 241.57/47.58  | Case 2:
% 241.57/47.58  | | 
% 241.57/47.58  | |   (131)   ~ (all_20_16 = e23)
% 241.57/47.58  | | 
% 241.57/47.58  | | REDUCE: (60), (131) imply:
% 241.57/47.58  | |   (132)   ~ (all_16_8 = e23)
% 241.57/47.58  | | 
% 241.57/47.58  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 241.57/47.58  | |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 241.57/47.58  | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 241.57/47.58  | |            (38), (39), (40), (42), (45), (46), (47), (48), (49), (50), (51),
% 241.57/47.58  | |            (52), (53), (54), (55), (56), (57), (58), (59), (61), (62), (63),
% 241.57/47.58  | |            (64), (65), (66), (67), (69), (70), (71), (72), (75), (76), (132)
% 241.57/47.58  | |            are inconsistent by sub-proof #212.
% 241.57/47.58  | | 
% 241.57/47.58  | End of split
% 241.57/47.58  | 
% 241.57/47.58  End of proof
% 241.57/47.58  
% 241.57/47.58  Sub-proof #196 shows that the following formulas are inconsistent:
% 241.57/47.58  ----------------------------------------------------------------
% 241.57/47.58    (1)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.57/47.58    (2)  all_24_21 = e24
% 241.57/47.58    (3)   ~ (e24 = e20)
% 241.57/47.58  
% 241.57/47.58  Begin of proof
% 241.57/47.58  | 
% 241.57/47.58  | ALPHA: (1) implies:
% 241.57/47.58  |   (4)  all_24_21 = e20
% 241.57/47.58  | 
% 241.57/47.58  | COMBINE_EQS: (2), (4) imply:
% 241.57/47.58  |   (5)  e24 = e20
% 241.57/47.58  | 
% 241.57/47.58  | REDUCE: (3), (5) imply:
% 241.57/47.58  |   (6)  $false
% 241.57/47.58  | 
% 241.57/47.58  | CLOSE: (6) is inconsistent.
% 241.57/47.58  | 
% 241.57/47.58  End of proof
% 241.57/47.58  
% 241.57/47.58  Sub-proof #197 shows that the following formulas are inconsistent:
% 241.57/47.58  ----------------------------------------------------------------
% 241.57/47.58    (1)   ~ (e24 = e20)
% 241.57/47.58    (2)  all_24_2 = e23
% 241.57/47.58    (3)   ~ (e23 = e21)
% 241.57/47.59    (4)  op2(e23, e21) = e24
% 241.57/47.59    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.59           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.59           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.59    (6)   ~ (e23 = e22)
% 241.57/47.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.59    (8)   ~ (e23 = e20)
% 241.57/47.59    (9)   ~ (e24 = e21)
% 241.57/47.59    (10)   ~ (e22 = e21)
% 241.57/47.59    (11)  all_24_13 = e23
% 241.57/47.59    (12)  op2(e23, e22) = e20
% 241.57/47.59    (13)   ~ (e21 = e20)
% 241.57/47.59    (14)   ~ (e24 = e22)
% 241.57/47.59    (15)   ~ (e24 = e23)
% 241.57/47.59    (16)  op2(e23, e21) = all_10_1
% 241.57/47.59    (17)  all_24_17 = e22
% 241.57/47.59    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.57/47.59            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.57/47.59            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.57/47.59    (19)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.57/47.59    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.57/47.59            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.57/47.59            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.57/47.59  
% 241.57/47.59  Begin of proof
% 241.57/47.59  | 
% 241.57/47.59  | ALPHA: (19) implies:
% 241.57/47.59  |   (21)  all_24_13 = e20
% 241.57/47.59  | 
% 241.57/47.59  | COMBINE_EQS: (11), (21) imply:
% 241.57/47.59  |   (22)  e23 = e20
% 241.57/47.59  | 
% 241.57/47.59  | COMBINE_EQS: (2), (22) imply:
% 241.57/47.59  |   (23)  all_24_2 = e20
% 241.57/47.59  | 
% 241.57/47.59  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 241.57/47.59  |            (15), (16), (17), (18), (20), (23) are inconsistent by sub-proof
% 241.57/47.59  |            #1308.
% 241.57/47.59  | 
% 241.57/47.59  End of proof
% 241.57/47.59  
% 241.57/47.59  Sub-proof #198 shows that the following formulas are inconsistent:
% 241.57/47.59  ----------------------------------------------------------------
% 241.57/47.59    (1)  all_24_24 = e23 & op2(e20, e20) = e23
% 241.57/47.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.59    (3)  op2(e20, e20) = all_8_2
% 241.57/47.59    (4)   ~ (all_8_2 = e23)
% 241.57/47.59  
% 241.57/47.59  Begin of proof
% 241.57/47.59  | 
% 241.57/47.59  | ALPHA: (1) implies:
% 241.57/47.59  |   (5)  op2(e20, e20) = e23
% 241.57/47.59  | 
% 241.57/47.59  | GROUND_INST: instantiating (2) with all_8_2, e23, e20, e20, simplifying with
% 241.57/47.59  |              (3), (5) gives:
% 241.57/47.59  |   (6)  all_8_2 = e23
% 241.57/47.59  | 
% 241.57/47.59  | REDUCE: (4), (6) imply:
% 241.57/47.59  |   (7)  $false
% 241.57/47.59  | 
% 241.57/47.59  | CLOSE: (7) is inconsistent.
% 241.57/47.59  | 
% 241.57/47.59  End of proof
% 241.57/47.59  
% 241.57/47.59  Sub-proof #199 shows that the following formulas are inconsistent:
% 241.57/47.59  ----------------------------------------------------------------
% 241.57/47.59    (1)  op2(e22, unit2) = e22
% 241.57/47.59    (2)  op2(e23, unit2) = e23
% 241.57/47.59    (3)  op2(e23, e21) = e24
% 241.57/47.59    (4)  op2(e20, unit2) = e20
% 241.57/47.59    (5)  op2(e21, e20) = e23
% 241.57/47.59    (6)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.59    (8)  op2(e20, e22) = all_16_14
% 241.57/47.59    (9)  op2(e22, e20) = e20
% 241.57/47.59    (10)   ~ (all_16_14 = e20)
% 241.57/47.59    (11)   ~ (e24 = e23)
% 241.57/47.59    (12)  op2(e23, e21) = all_10_1
% 241.57/47.59    (13)  op2(e21, unit2) = e21
% 241.57/47.59    (14)  op2(e23, e20) = e22
% 241.57/47.59  
% 241.57/47.59  Begin of proof
% 241.57/47.59  | 
% 241.57/47.59  | BETA: splitting (6) gives:
% 241.57/47.59  | 
% 241.57/47.59  | Case 1:
% 241.57/47.59  | | 
% 241.57/47.59  | |   (15)  unit2 = e22
% 241.57/47.59  | | 
% 241.57/47.59  | | REDUCE: (4), (15) imply:
% 241.57/47.59  | |   (16)  op2(e20, e22) = e20
% 241.57/47.59  | | 
% 241.57/47.59  | | REF_CLOSE: (7), (8), (10), (16) are inconsistent by sub-proof #961.
% 241.57/47.59  | | 
% 241.57/47.59  | Case 2:
% 241.57/47.59  | | 
% 241.57/47.59  | |   (17)  unit2 = e21 | unit2 = e20
% 241.57/47.59  | | 
% 241.57/47.59  | | BETA: splitting (17) gives:
% 241.57/47.59  | | 
% 241.57/47.59  | | Case 1:
% 241.57/47.59  | | | 
% 241.57/47.59  | | |   (18)  unit2 = e21
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REDUCE: (2), (18) imply:
% 241.57/47.59  | | |   (19)  op2(e23, e21) = e23
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REF_CLOSE: (3), (7), (11), (12), (19) are inconsistent by sub-proof #957.
% 241.57/47.59  | | | 
% 241.57/47.59  | | Case 2:
% 241.57/47.59  | | | 
% 241.57/47.59  | | |   (20)  unit2 = e20
% 241.57/47.59  | | |   (21)   ~ (unit2 = e21)
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REDUCE: (20), (21) imply:
% 241.57/47.59  | | |   (22)   ~ (e21 = e20)
% 241.57/47.59  | | | 
% 241.57/47.59  | | | SIMP: (22) implies:
% 241.57/47.59  | | |   (23)   ~ (e21 = e20)
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REDUCE: (2), (20) imply:
% 241.57/47.59  | | |   (24)  op2(e23, e20) = e23
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REDUCE: (1), (20) imply:
% 241.57/47.59  | | |   (25)  op2(e22, e20) = e22
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REDUCE: (13), (20) imply:
% 241.57/47.59  | | |   (26)  op2(e21, e20) = e21
% 241.57/47.59  | | | 
% 241.57/47.59  | | | GROUND_INST: instantiating (7) with e23, e21, e20, e21, simplifying with
% 241.57/47.59  | | |              (5), (26) gives:
% 241.57/47.59  | | |   (27)  e23 = e21
% 241.57/47.59  | | | 
% 241.57/47.59  | | | GROUND_INST: instantiating (7) with e20, e22, e20, e22, simplifying with
% 241.57/47.59  | | |              (9), (25) gives:
% 241.57/47.59  | | |   (28)  e22 = e20
% 241.57/47.59  | | | 
% 241.57/47.59  | | | GROUND_INST: instantiating (7) with e22, e23, e20, e23, simplifying with
% 241.57/47.59  | | |              (14), (24) gives:
% 241.57/47.59  | | |   (29)  e23 = e22
% 241.57/47.59  | | | 
% 241.57/47.59  | | | COMBINE_EQS: (27), (29) imply:
% 241.57/47.59  | | |   (30)  e22 = e21
% 241.57/47.59  | | | 
% 241.57/47.59  | | | REF_CLOSE: (23), (28), (30) are inconsistent by sub-proof #327.
% 241.57/47.59  | | | 
% 241.57/47.59  | | End of split
% 241.57/47.59  | | 
% 241.57/47.59  | End of split
% 241.57/47.59  | 
% 241.57/47.59  End of proof
% 241.57/47.59  
% 241.57/47.59  Sub-proof #200 shows that the following formulas are inconsistent:
% 241.57/47.59  ----------------------------------------------------------------
% 241.57/47.59    (1)  op2(e24, e22) = all_16_10
% 241.57/47.59    (2)  op2(e23, unit2) = e23
% 241.57/47.59    (3)   ~ (unit2 = e23)
% 241.57/47.59    (4)   ~ (e24 = e20)
% 241.57/47.59    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.57/47.59             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.57/47.59           e20 & op2(e21, e20) = e20)
% 241.57/47.59    (6)   ~ (e23 = e21)
% 241.57/47.59    (7)  all_24_11 = e23
% 241.57/47.59    (8)  op2(e23, e21) = e24
% 241.57/47.59    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.57/47.59           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.57/47.59           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.57/47.59    (10)   ~ (e23 = e22)
% 241.57/47.59    (11)   ~ (e22 = e20)
% 241.57/47.59    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.57/47.59            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.57/47.59    (13)  op2(unit2, e20) = e20
% 241.57/47.59    (14)   ~ (e23 = e20)
% 241.57/47.59    (15)   ~ (all_16_10 = e22)
% 241.57/47.59    (16)   ~ (e24 = e21)
% 241.57/47.59    (17)   ~ (e22 = e21)
% 241.57/47.59    (18)  op2(e24, unit2) = e24
% 241.57/47.59    (19)  op2(e23, e22) = e20
% 241.57/47.59    (20)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22,
% 241.57/47.59              e20) = e22)
% 241.57/47.59    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.57/47.59    (22)  op2(unit2, e22) = e22
% 241.57/47.59    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.57/47.59            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.57/47.59            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.57/47.59    (24)   ~ (e21 = e20)
% 241.70/47.59    (25)   ~ (e24 = e22)
% 241.70/47.59    (26)   ~ (e24 = e23)
% 241.70/47.59    (27)  op2(e23, e21) = all_10_1
% 241.70/47.59    (28)  op2(e21, unit2) = e21
% 241.70/47.59    (29)  all_24_17 = e22
% 241.70/47.59    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.59            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.59            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.59    (31)  all_24_5 = e20
% 241.70/47.59    (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.59            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.59            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.59  
% 241.70/47.59  Begin of proof
% 241.70/47.59  | 
% 241.70/47.59  | BETA: splitting (20) gives:
% 241.70/47.59  | 
% 241.70/47.59  | Case 1:
% 241.70/47.59  | | 
% 241.70/47.59  | |   (33)  all_24_11 = e22 & op2(e22, e21) = e22
% 241.70/47.59  | | 
% 241.70/47.59  | | ALPHA: (33) implies:
% 241.70/47.59  | |   (34)  all_24_11 = e22
% 241.70/47.59  | | 
% 241.70/47.59  | | COMBINE_EQS: (7), (34) imply:
% 241.70/47.59  | |   (35)  e23 = e22
% 241.70/47.59  | | 
% 241.70/47.59  | | REDUCE: (10), (35) imply:
% 241.70/47.59  | |   (36)  $false
% 241.70/47.59  | | 
% 241.70/47.59  | | CLOSE: (36) is inconsistent.
% 241.70/47.59  | | 
% 241.70/47.59  | Case 2:
% 241.70/47.59  | | 
% 241.70/47.59  | |   (37)  all_24_18 = e22 & op2(e22, e20) = e22
% 241.70/47.59  | | 
% 241.70/47.59  | | ALPHA: (37) implies:
% 241.70/47.59  | |   (38)  all_24_18 = e22
% 241.70/47.59  | | 
% 241.70/47.59  | | BETA: splitting (5) gives:
% 241.70/47.59  | | 
% 241.70/47.59  | | Case 1:
% 241.70/47.59  | | | 
% 241.70/47.59  | | |   (39)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 241.70/47.59  | | |           op2(e23, e20) = e20)
% 241.70/47.59  | | | 
% 241.70/47.59  | | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (10), (11), (12), (14), (15),
% 241.70/47.59  | | |            (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 241.70/47.59  | | |            (27), (30), (31), (32), (39) are inconsistent by sub-proof
% 241.70/47.59  | | |            #220.
% 241.70/47.59  | | | 
% 241.70/47.59  | | Case 2:
% 241.70/47.59  | | | 
% 241.70/47.59  | | |   (40)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 241.70/47.59  | | |           op2(e21, e20) = e20)
% 241.70/47.59  | | | 
% 241.70/47.59  | | | BETA: splitting (40) gives:
% 241.70/47.59  | | | 
% 241.70/47.59  | | | Case 1:
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | |   (41)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | | ALPHA: (41) implies:
% 241.70/47.59  | | | |   (42)  all_24_18 = e20
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | | COMBINE_EQS: (38), (42) imply:
% 241.70/47.59  | | | |   (43)  e22 = e20
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | | COMBINE_EQS: (29), (43) imply:
% 241.70/47.59  | | | |   (44)  all_24_17 = e20
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | | REF_CLOSE: (4), (6), (9), (10), (11), (14), (16), (17), (23), (24),
% 241.70/47.59  | | | |            (25), (26), (30), (31), (32), (44) are inconsistent by
% 241.70/47.59  | | | |            sub-proof #221.
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | Case 2:
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | |   (45)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | | REF_CLOSE: (1), (2), (3), (8), (12), (13), (14), (15), (18), (19), (21),
% 241.70/47.59  | | | |            (22), (26), (27), (28), (45) are inconsistent by sub-proof
% 241.70/47.59  | | | |            #219.
% 241.70/47.59  | | | | 
% 241.70/47.59  | | | End of split
% 241.70/47.59  | | | 
% 241.70/47.59  | | End of split
% 241.70/47.59  | | 
% 241.70/47.59  | End of split
% 241.70/47.59  | 
% 241.70/47.59  End of proof
% 241.70/47.59  
% 241.70/47.59  Sub-proof #201 shows that the following formulas are inconsistent:
% 241.70/47.59  ----------------------------------------------------------------
% 241.70/47.59    (1)  op2(e24, e22) = all_16_10
% 241.70/47.59    (2)  op2(e22, unit2) = e22
% 241.70/47.59    (3)  op2(e23, unit2) = e23
% 241.70/47.59    (4)  all_24_2 = e23
% 241.70/47.59    (5)   ~ (e23 = e21)
% 241.70/47.59    (6)  all_24_11 = e23
% 241.70/47.59    (7)  op2(e23, e21) = e24
% 241.70/47.59    (8)  op2(e23, e23) = e21
% 241.70/47.59    (9)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22,
% 241.70/47.59             e20) = e21)
% 241.70/47.59    (10)   ~ (e23 = e22)
% 241.70/47.59    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.59            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.59    (12)   ~ (e23 = e20)
% 241.70/47.59    (13)   ~ (all_16_10 = e22)
% 241.70/47.59    (14)   ~ (e24 = e21)
% 241.70/47.59    (15)   ~ (e22 = e21)
% 241.70/47.59    (16)  op2(e23, e22) = e20
% 241.70/47.59    (17)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.59    (18)  op2(unit2, e22) = e22
% 241.70/47.59    (19)   ~ (e24 = e22)
% 241.70/47.59    (20)   ~ (e24 = e23)
% 241.70/47.59    (21)  op2(e23, e21) = all_10_1
% 241.70/47.59    (22)  all_24_17 = e22
% 241.70/47.59    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.59            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.59            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.59    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.59            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.59            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.59  
% 241.70/47.59  Begin of proof
% 241.70/47.59  | 
% 241.70/47.59  | BETA: splitting (9) gives:
% 241.70/47.59  | 
% 241.70/47.59  | Case 1:
% 241.70/47.59  | | 
% 241.70/47.59  | |   (25)  all_24_11 = e21 & op2(e22, e21) = e21
% 241.70/47.59  | | 
% 241.70/47.59  | | ALPHA: (25) implies:
% 241.70/47.59  | |   (26)  all_24_11 = e21
% 241.70/47.59  | | 
% 241.70/47.59  | | COMBINE_EQS: (6), (26) imply:
% 241.70/47.59  | |   (27)  e23 = e21
% 241.70/47.59  | | 
% 241.70/47.59  | | COMBINE_EQS: (4), (27) imply:
% 241.70/47.59  | |   (28)  all_24_2 = e21
% 241.70/47.59  | | 
% 241.70/47.59  | | REF_CLOSE: (5), (7), (8), (10), (11), (12), (14), (16), (19), (20), (21),
% 241.70/47.59  | |            (22), (23), (24), (28) are inconsistent by sub-proof #1299.
% 241.70/47.59  | | 
% 241.70/47.59  | Case 2:
% 241.70/47.59  | | 
% 241.70/47.59  | |   (29)  all_24_18 = e21 & op2(e22, e20) = e21
% 241.70/47.59  | | 
% 241.70/47.59  | | REF_CLOSE: (1), (2), (3), (7), (11), (12), (13), (15), (16), (17), (18),
% 241.70/47.59  | |            (20), (21), (29) are inconsistent by sub-proof #202.
% 241.70/47.59  | | 
% 241.70/47.59  | End of split
% 241.70/47.59  | 
% 241.70/47.59  End of proof
% 241.70/47.59  
% 241.70/47.59  Sub-proof #202 shows that the following formulas are inconsistent:
% 241.70/47.59  ----------------------------------------------------------------
% 241.70/47.59    (1)  op2(e24, e22) = all_16_10
% 241.70/47.59    (2)  op2(e22, unit2) = e22
% 241.70/47.59    (3)  op2(e23, unit2) = e23
% 241.70/47.59    (4)  op2(e23, e21) = e24
% 241.70/47.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.59    (6)   ~ (e23 = e20)
% 241.70/47.59    (7)   ~ (all_16_10 = e22)
% 241.70/47.59    (8)   ~ (e22 = e21)
% 241.70/47.59    (9)  op2(e23, e22) = e20
% 241.70/47.59    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.59    (11)  op2(unit2, e22) = e22
% 241.70/47.59    (12)  all_24_18 = e21 & op2(e22, e20) = e21
% 241.70/47.60    (13)   ~ (e24 = e23)
% 241.70/47.60    (14)  op2(e23, e21) = all_10_1
% 241.70/47.60  
% 241.70/47.60  Begin of proof
% 241.70/47.60  | 
% 241.70/47.60  | ALPHA: (12) implies:
% 241.70/47.60  |   (15)  op2(e22, e20) = e21
% 241.70/47.60  | 
% 241.70/47.60  | BETA: splitting (10) gives:
% 241.70/47.60  | 
% 241.70/47.60  | Case 1:
% 241.70/47.60  | | 
% 241.70/47.60  | |   (16)  unit2 = e24
% 241.70/47.60  | | 
% 241.70/47.60  | | REDUCE: (11), (16) imply:
% 241.70/47.60  | |   (17)  op2(e24, e22) = e22
% 241.70/47.60  | | 
% 241.70/47.60  | | REF_CLOSE: (1), (5), (7), (17) are inconsistent by sub-proof #774.
% 241.70/47.60  | | 
% 241.70/47.60  | Case 2:
% 241.70/47.60  | | 
% 241.70/47.60  | |   (18)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.60  | | 
% 241.70/47.60  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (13), (14), (15), (18) are
% 241.70/47.60  | |            inconsistent by sub-proof #798.
% 241.70/47.60  | | 
% 241.70/47.60  | End of split
% 241.70/47.60  | 
% 241.70/47.60  End of proof
% 241.70/47.60  
% 241.70/47.60  Sub-proof #203 shows that the following formulas are inconsistent:
% 241.70/47.60  ----------------------------------------------------------------
% 241.70/47.60    (1)   ~ (e24 = e20)
% 241.70/47.60    (2)   ~ (e23 = e21)
% 241.70/47.60    (3)  op2(e23, e21) = e24
% 241.70/47.60    (4)  op2(e23, e23) = e21
% 241.70/47.60    (5)   ~ (e23 = e22)
% 241.70/47.60    (6)   ~ (e22 = e20)
% 241.70/47.60    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.60           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.60    (8)   ~ (e23 = e20)
% 241.70/47.60    (9)   ~ (e24 = e21)
% 241.70/47.60    (10)   ~ (e22 = e21)
% 241.70/47.60    (11)  all_24_8 = e22
% 241.70/47.60    (12)  op2(e23, e22) = e20
% 241.70/47.60    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.60            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.60            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.60    (14)   ~ (e24 = e22)
% 241.70/47.60    (15)   ~ (e24 = e23)
% 241.70/47.60    (16)  op2(e23, e21) = all_10_1
% 241.70/47.60    (17)  all_24_8 = e21
% 241.70/47.60    (18)  all_24_17 = e22
% 241.70/47.60    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.60            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.60            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.60    (20)  all_24_5 = e20
% 241.70/47.60    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.60            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.60            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.60  
% 241.70/47.60  Begin of proof
% 241.70/47.60  | 
% 241.70/47.60  | COMBINE_EQS: (11), (17) imply:
% 241.70/47.60  |   (22)  e22 = e21
% 241.70/47.60  | 
% 241.70/47.60  | SIMP: (22) implies:
% 241.70/47.60  |   (23)  e22 = e21
% 241.70/47.60  | 
% 241.70/47.60  | COMBINE_EQS: (18), (23) imply:
% 241.70/47.60  |   (24)  all_24_17 = e21
% 241.70/47.60  | 
% 241.70/47.60  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 241.70/47.60  |            (14), (15), (16), (19), (20), (21), (24) are inconsistent by
% 241.70/47.60  |            sub-proof #204.
% 241.70/47.60  | 
% 241.70/47.60  End of proof
% 241.70/47.60  
% 241.70/47.60  Sub-proof #204 shows that the following formulas are inconsistent:
% 241.70/47.60  ----------------------------------------------------------------
% 241.70/47.60    (1)   ~ (e24 = e20)
% 241.70/47.60    (2)   ~ (e23 = e21)
% 241.70/47.60    (3)  op2(e23, e21) = e24
% 241.70/47.60    (4)  op2(e23, e23) = e21
% 241.70/47.60    (5)   ~ (e23 = e22)
% 241.70/47.60    (6)   ~ (e22 = e20)
% 241.70/47.60    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.60           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.60    (8)   ~ (e23 = e20)
% 241.70/47.60    (9)   ~ (e24 = e21)
% 241.70/47.60    (10)   ~ (e22 = e21)
% 241.70/47.60    (11)  op2(e23, e22) = e20
% 241.70/47.60    (12)  all_24_17 = e21
% 241.70/47.60    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.60            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.60            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.60    (14)   ~ (e24 = e22)
% 241.70/47.60    (15)   ~ (e24 = e23)
% 241.70/47.60    (16)  op2(e23, e21) = all_10_1
% 241.70/47.60    (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.60            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.60            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.60    (18)  all_24_5 = e20
% 241.70/47.60    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.60            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.60            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.60  
% 241.70/47.60  Begin of proof
% 241.70/47.60  | 
% 241.70/47.60  | BETA: splitting (13) gives:
% 241.70/47.60  | 
% 241.70/47.60  | Case 1:
% 241.70/47.60  | | 
% 241.70/47.60  | |   (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 241.70/47.60  | |             e23) = e22)
% 241.70/47.60  | | 
% 241.70/47.60  | | BETA: splitting (20) gives:
% 241.70/47.60  | | 
% 241.70/47.60  | | Case 1:
% 241.70/47.60  | | | 
% 241.70/47.60  | | |   (21)  all_24_2 = e22 & op2(e23, e24) = e22
% 241.70/47.60  | | | 
% 241.70/47.60  | | | ALPHA: (21) implies:
% 241.70/47.60  | | |   (22)  all_24_2 = e22
% 241.70/47.60  | | | 
% 241.70/47.60  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (14), (15),
% 241.70/47.60  | | |            (16), (17), (19), (22) are inconsistent by sub-proof #874.
% 241.70/47.60  | | | 
% 241.70/47.60  | | Case 2:
% 241.70/47.60  | | | 
% 241.70/47.60  | | |   (23)  all_24_3 = e22 & op2(e23, e23) = e22
% 241.70/47.60  | | | 
% 241.70/47.60  | | | REF_CLOSE: (4), (7), (10), (23) are inconsistent by sub-proof #1331.
% 241.70/47.60  | | | 
% 241.70/47.60  | | End of split
% 241.70/47.60  | | 
% 241.70/47.60  | Case 2:
% 241.70/47.60  | | 
% 241.70/47.60  | |   (24)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 241.70/47.60  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.60  | | 
% 241.70/47.60  | | BETA: splitting (24) gives:
% 241.70/47.60  | | 
% 241.70/47.60  | | Case 1:
% 241.70/47.60  | | | 
% 241.70/47.60  | | |   (25)  all_24_5 = e22 & op2(e23, e22) = e22
% 241.70/47.60  | | | 
% 241.70/47.60  | | | REF_CLOSE: (6), (7), (11), (25) are inconsistent by sub-proof #1330.
% 241.70/47.60  | | | 
% 241.70/47.60  | | Case 2:
% 241.70/47.60  | | | 
% 241.70/47.60  | | |   (26)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 241.70/47.60  | | |           op2(e23, e20) = e22)
% 241.70/47.60  | | | 
% 241.70/47.60  | | | BETA: splitting (26) gives:
% 241.70/47.60  | | | 
% 241.70/47.60  | | | Case 1:
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | |   (27)  all_24_10 = e22 & op2(e23, e21) = e22
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | ALPHA: (27) implies:
% 241.70/47.60  | | | |   (28)  all_24_10 = e22
% 241.70/47.60  | | | |   (29)  op2(e23, e21) = e22
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | BETA: splitting (19) gives:
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | Case 1:
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | |   (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 241.70/47.60  | | | | |           op2(e23, e23) = e23)
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | | BETA: splitting (30) gives:
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | | Case 1:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | |   (31)  all_24_2 = e23 & op2(e23, e24) = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | ALPHA: (31) implies:
% 241.70/47.60  | | | | | |   (32)  all_24_2 = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | BETA: splitting (17) gives:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | Case 1:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | |   (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 241.70/47.60  | | | | | | |           op2(e23, e23) = e24)
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | BETA: splitting (33) gives:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | Case 1:
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | |   (34)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | ALPHA: (34) implies:
% 241.70/47.60  | | | | | | | |   (35)  all_24_2 = e24
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | REF_CLOSE: (15), (32), (35) are inconsistent by sub-proof #827.
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | Case 2:
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | |   (36)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | REF_CLOSE: (3), (4), (7), (10), (16), (29), (36) are
% 241.70/47.60  | | | | | | | |            inconsistent by sub-proof #1302.
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | End of split
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | Case 2:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | |   (37)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 241.70/47.60  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 241.70/47.60  | | | | | | |             e20) = e24)
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | BETA: splitting (37) gives:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | Case 1:
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | |   (38)  all_24_5 = e24 & op2(e23, e22) = e24
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | REF_CLOSE: (1), (18), (38) are inconsistent by sub-proof #1301.
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | Case 2:
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | |   (39)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 241.70/47.60  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | BETA: splitting (39) gives:
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | | Case 1:
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | |   (40)  all_24_10 = e24 & op2(e23, e21) = e24
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | | REF_CLOSE: (14), (28), (40) are inconsistent by sub-proof
% 241.70/47.60  | | | | | | | | |            #1321.
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | Case 2:
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | |   (41)  all_24_17 = e24 & op2(e23, e20) = e24
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | | REF_CLOSE: (9), (12), (41) are inconsistent by sub-proof #877.
% 241.70/47.60  | | | | | | | | | 
% 241.70/47.60  | | | | | | | | End of split
% 241.70/47.60  | | | | | | | | 
% 241.70/47.60  | | | | | | | End of split
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | End of split
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | Case 2:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | |   (42)  all_24_3 = e23 & op2(e23, e23) = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | ALPHA: (42) implies:
% 241.70/47.60  | | | | | |   (43)  op2(e23, e23) = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | REF_CLOSE: (2), (4), (7), (43) are inconsistent by sub-proof #1305.
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | End of split
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | Case 2:
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | |   (44)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.60  | | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 241.70/47.60  | | | | |           e23)
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | | BETA: splitting (44) gives:
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | | Case 1:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | |   (45)  all_24_5 = e23 & op2(e23, e22) = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | ALPHA: (45) implies:
% 241.70/47.60  | | | | | |   (46)  op2(e23, e22) = e23
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | REF_CLOSE: (7), (8), (11), (46) are inconsistent by sub-proof #1326.
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | Case 2:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | |   (47)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 241.70/47.60  | | | | | |           op2(e23, e20) = e23)
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | BETA: splitting (47) gives:
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | | Case 1:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | |   (48)  all_24_10 = e23 & op2(e23, e21) = e23
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | REF_CLOSE: (5), (28), (48) are inconsistent by sub-proof #1315.
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | Case 2:
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | |   (49)  all_24_17 = e23 & op2(e23, e20) = e23
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | | REF_CLOSE: (2), (12), (49) are inconsistent by sub-proof #875.
% 241.70/47.60  | | | | | | | 
% 241.70/47.60  | | | | | | End of split
% 241.70/47.60  | | | | | | 
% 241.70/47.60  | | | | | End of split
% 241.70/47.60  | | | | | 
% 241.70/47.60  | | | | End of split
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | Case 2:
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | |   (50)  all_24_17 = e22 & op2(e23, e20) = e22
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | ALPHA: (50) implies:
% 241.70/47.60  | | | |   (51)  all_24_17 = e22
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | COMBINE_EQS: (12), (51) imply:
% 241.70/47.60  | | | |   (52)  e22 = e21
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | REDUCE: (10), (52) imply:
% 241.70/47.60  | | | |   (53)  $false
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | | CLOSE: (53) is inconsistent.
% 241.70/47.60  | | | | 
% 241.70/47.60  | | | End of split
% 241.70/47.60  | | | 
% 241.70/47.60  | | End of split
% 241.70/47.60  | | 
% 241.70/47.60  | End of split
% 241.70/47.60  | 
% 241.70/47.60  End of proof
% 241.70/47.60  
% 241.70/47.60  Sub-proof #205 shows that the following formulas are inconsistent:
% 241.70/47.60  ----------------------------------------------------------------
% 241.70/47.60    (1)  all_24_7 = e21 & op2(e22, e23) = e21
% 241.70/47.60    (2)  all_24_7 = e24
% 241.70/47.60    (3)   ~ (e24 = e21)
% 241.70/47.60  
% 241.70/47.60  Begin of proof
% 241.70/47.60  | 
% 241.70/47.60  | ALPHA: (1) implies:
% 241.70/47.60  |   (4)  all_24_7 = e21
% 241.70/47.60  | 
% 241.70/47.60  | COMBINE_EQS: (2), (4) imply:
% 241.70/47.60  |   (5)  e24 = e21
% 241.70/47.60  | 
% 241.70/47.60  | REDUCE: (3), (5) imply:
% 241.70/47.60  |   (6)  $false
% 241.70/47.60  | 
% 241.70/47.60  | CLOSE: (6) is inconsistent.
% 241.70/47.60  | 
% 241.70/47.60  End of proof
% 241.70/47.60  
% 241.70/47.60  Sub-proof #206 shows that the following formulas are inconsistent:
% 241.70/47.60  ----------------------------------------------------------------
% 241.70/47.60    (1)  op2(e24, e22) = all_16_10
% 241.70/47.60    (2)  op2(e23, unit2) = e23
% 241.70/47.60    (3)   ~ (unit2 = e23)
% 241.70/47.60    (4)   ~ (e24 = e20)
% 241.70/47.60    (5)  all_24_2 = e23
% 241.70/47.60    (6)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.60             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.60           e20 & op2(e21, e20) = e20)
% 241.70/47.60    (7)   ~ (e23 = e21)
% 241.70/47.60    (8)  op2(e23, e21) = e24
% 241.70/47.60    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.60           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.60           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.60    (10)  op2(e23, e23) = e21
% 241.70/47.60    (11)  op2(e22, e20) = all_16_22
% 241.70/47.60    (12)   ~ (e23 = e22)
% 241.70/47.60    (13)   ~ (e22 = e20)
% 241.70/47.60    (14)  op2(e21, e23) = all_16_8
% 241.70/47.60    (15)   ~ (all_16_7 = all_16_8)
% 241.70/47.60    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.60            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.60    (17)  op2(unit2, e20) = e20
% 241.70/47.60    (18)   ~ (all_16_8 = e21)
% 241.70/47.60    (19)  all_24_21 = e23
% 241.70/47.60    (20)   ~ (e23 = e20)
% 241.70/47.60    (21)   ~ (all_16_7 = e23)
% 241.70/47.60    (22)  op2(e24, e23) = e22
% 241.70/47.60    (23)   ~ (all_16_10 = e22)
% 241.70/47.60    (24)   ~ (e24 = e21)
% 241.70/47.60    (25)   ~ (e22 = e21)
% 241.70/47.60    (26)  op2(e24, unit2) = e24
% 241.70/47.60    (27)  op2(e23, e22) = e20
% 241.70/47.60    (28)  all_24_1 = e22
% 241.70/47.60    (29)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.60    (30)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.60            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.70/47.60            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.60    (31)   ~ (all_16_8 = e23)
% 241.70/47.60    (32)  op2(e22, e23) = all_16_7
% 241.70/47.60    (33)  op2(unit2, e22) = e22
% 241.70/47.60    (34)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.60            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.60            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.60    (35)   ~ (all_16_7 = e22)
% 241.70/47.60    (36)   ~ (e21 = e20)
% 241.70/47.60    (37)   ~ (e24 = e22)
% 241.70/47.60    (38)  all_24_18 = e23 & op2(e22, e20) = e23
% 241.70/47.60    (39)   ~ (all_16_7 = e21)
% 241.70/47.60    (40)   ~ (e24 = e23)
% 241.70/47.60    (41)  op2(e23, e21) = all_10_1
% 241.70/47.60    (42)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.60            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.70/47.60            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.70/47.60    (43)  op2(e21, unit2) = e21
% 241.70/47.60    (44)   ~ (all_16_8 = e22)
% 241.70/47.60    (45)  all_24_17 = e22
% 241.70/47.60    (46)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.60            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.60            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.61    (47)  all_24_5 = e20
% 241.70/47.61    (48)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.70/47.61            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.70/47.61            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.70/47.61    (49)  all_24_3 = e21
% 241.70/47.61    (50)   ~ (all_16_7 = all_16_22)
% 241.70/47.61    (51)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.61            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.61            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.61  
% 241.70/47.61  Begin of proof
% 241.70/47.61  | 
% 241.70/47.61  | ALPHA: (38) implies:
% 241.70/47.61  |   (52)  all_24_18 = e23
% 241.70/47.61  | 
% 241.70/47.61  | BETA: splitting (48) gives:
% 241.70/47.61  | 
% 241.70/47.61  | Case 1:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (53)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 241.70/47.61  | |             e23) = e20)
% 241.70/47.61  | | 
% 241.70/47.61  | | BETA: splitting (53) gives:
% 241.70/47.61  | | 
% 241.70/47.61  | | Case 1:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (54)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (13), (16), (22), (54) are inconsistent by sub-proof #911.
% 241.70/47.61  | | | 
% 241.70/47.61  | | Case 2:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (55)  all_24_3 = e20 & op2(e23, e23) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (10), (16), (36), (55) are inconsistent by sub-proof #1306.
% 241.70/47.61  | | | 
% 241.70/47.61  | | End of split
% 241.70/47.61  | | 
% 241.70/47.61  | Case 2:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (56)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 241.70/47.61  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.70/47.61  | | 
% 241.70/47.61  | | BETA: splitting (56) gives:
% 241.70/47.61  | | 
% 241.70/47.61  | | Case 1:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (57)  all_24_7 = e20 & op2(e22, e23) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | ALPHA: (57) implies:
% 241.70/47.61  | | |   (58)  all_24_7 = e20
% 241.70/47.61  | | |   (59)  op2(e22, e23) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 241.70/47.61  | | |            (15), (16), (17), (18), (21), (22), (23), (24), (25), (26),
% 241.70/47.61  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (37),
% 241.70/47.61  | | |            (39), (40), (41), (42), (43), (44), (46), (47), (49), (50),
% 241.70/47.61  | | |            (51), (58), (59) are inconsistent by sub-proof #217.
% 241.70/47.61  | | | 
% 241.70/47.61  | | Case 2:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (60)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 241.70/47.61  | | |           op2(e20, e23) = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | BETA: splitting (60) gives:
% 241.70/47.61  | | | 
% 241.70/47.61  | | | Case 1:
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | |   (61)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | | ALPHA: (61) implies:
% 241.70/47.61  | | | |   (62)  all_24_13 = e20
% 241.70/47.61  | | | |   (63)  op2(e21, e23) = e20
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 241.70/47.61  | | | |            (14), (15), (16), (17), (18), (21), (22), (23), (24), (25),
% 241.70/47.61  | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 241.70/47.61  | | | |            (37), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 241.70/47.61  | | | |            (49), (51), (52), (62), (63) are inconsistent by sub-proof
% 241.70/47.61  | | | |            #207.
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | Case 2:
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | |   (64)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | | REF_CLOSE: (4), (5), (7), (8), (9), (12), (16), (19), (20), (24), (25),
% 241.70/47.61  | | | |            (27), (36), (37), (40), (41), (45), (46), (51), (64) are
% 241.70/47.61  | | | |            inconsistent by sub-proof #213.
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | End of split
% 241.70/47.61  | | | 
% 241.70/47.61  | | End of split
% 241.70/47.61  | | 
% 241.70/47.61  | End of split
% 241.70/47.61  | 
% 241.70/47.61  End of proof
% 241.70/47.61  
% 241.70/47.61  Sub-proof #207 shows that the following formulas are inconsistent:
% 241.70/47.61  ----------------------------------------------------------------
% 241.70/47.61    (1)  op2(e24, e22) = all_16_10
% 241.70/47.61    (2)  op2(e23, unit2) = e23
% 241.70/47.61    (3)   ~ (unit2 = e23)
% 241.70/47.61    (4)   ~ (e24 = e20)
% 241.70/47.61    (5)  all_24_2 = e23
% 241.70/47.61    (6)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.61             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.61           e20 & op2(e21, e20) = e20)
% 241.70/47.61    (7)   ~ (e23 = e21)
% 241.70/47.61    (8)  op2(e23, e21) = e24
% 241.70/47.61    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.61           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.61           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.61    (10)  op2(e23, e23) = e21
% 241.70/47.61    (11)   ~ (e23 = e22)
% 241.70/47.61    (12)  op2(e21, e23) = all_16_8
% 241.70/47.61    (13)   ~ (all_16_7 = all_16_8)
% 241.70/47.61    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.61            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.61    (15)  all_24_13 = e20
% 241.70/47.61    (16)  op2(unit2, e20) = e20
% 241.70/47.61    (17)   ~ (all_16_8 = e21)
% 241.70/47.61    (18)   ~ (all_16_7 = e23)
% 241.70/47.61    (19)  op2(e24, e23) = e22
% 241.70/47.61    (20)   ~ (all_16_10 = e22)
% 241.70/47.61    (21)   ~ (e24 = e21)
% 241.70/47.61    (22)   ~ (e22 = e21)
% 241.70/47.61    (23)  op2(e24, unit2) = e24
% 241.70/47.61    (24)  op2(e23, e22) = e20
% 241.70/47.61    (25)  all_24_1 = e22
% 241.70/47.61    (26)  all_24_18 = e23
% 241.70/47.61    (27)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.61    (28)  op2(e21, e23) = e20
% 241.70/47.61    (29)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.61            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.70/47.61            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.61    (30)   ~ (all_16_8 = e23)
% 241.70/47.61    (31)  op2(e22, e23) = all_16_7
% 241.70/47.61    (32)  op2(unit2, e22) = e22
% 241.70/47.61    (33)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.61            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.61            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.61    (34)   ~ (all_16_7 = e22)
% 241.70/47.61    (35)   ~ (e24 = e22)
% 241.70/47.61    (36)   ~ (all_16_7 = e21)
% 241.70/47.61    (37)   ~ (e24 = e23)
% 241.70/47.61    (38)  op2(e23, e21) = all_10_1
% 241.70/47.61    (39)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.61            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.70/47.61            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.70/47.61    (40)  op2(e21, unit2) = e21
% 241.70/47.61    (41)   ~ (all_16_8 = e22)
% 241.70/47.61    (42)  all_24_17 = e22
% 241.70/47.61    (43)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.61            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.61            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.61    (44)  all_24_5 = e20
% 241.70/47.61    (45)  all_24_3 = e21
% 241.70/47.61    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.61            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.61            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.61  
% 241.70/47.61  Begin of proof
% 241.70/47.61  | 
% 241.70/47.61  | BETA: splitting (29) gives:
% 241.70/47.61  | 
% 241.70/47.61  | Case 1:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (47)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 241.70/47.61  | |             e23) = e24)
% 241.70/47.61  | | 
% 241.70/47.61  | | BETA: splitting (47) gives:
% 241.70/47.61  | | 
% 241.70/47.61  | | Case 1:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (48)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (25), (35), (48) are inconsistent by sub-proof #870.
% 241.70/47.61  | | | 
% 241.70/47.61  | | Case 2:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (49)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (21), (45), (49) are inconsistent by sub-proof #1323.
% 241.70/47.61  | | | 
% 241.70/47.61  | | End of split
% 241.70/47.61  | | 
% 241.70/47.61  | Case 2:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (50)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 241.70/47.61  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.61  | | 
% 241.70/47.61  | | BETA: splitting (50) gives:
% 241.70/47.61  | | 
% 241.70/47.61  | | Case 1:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (51)  all_24_7 = e24 & op2(e22, e23) = e24
% 241.70/47.61  | | | 
% 241.70/47.61  | | | ALPHA: (51) implies:
% 241.70/47.61  | | |   (52)  op2(e22, e23) = e24
% 241.70/47.61  | | | 
% 241.70/47.61  | | | GROUND_INST: instantiating (14) with all_16_8, e20, e23, e21, simplifying
% 241.70/47.61  | | |              with (12), (28) gives:
% 241.70/47.61  | | |   (53)  all_16_8 = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | GROUND_INST: instantiating (14) with all_16_7, e24, e23, e22, simplifying
% 241.70/47.61  | | |              with (31), (52) gives:
% 241.70/47.61  | | |   (54)  all_16_7 = e24
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REDUCE: (30), (53) imply:
% 241.70/47.61  | | |   (55)   ~ (e23 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | SIMP: (55) implies:
% 241.70/47.61  | | |   (56)   ~ (e23 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REDUCE: (41), (53) imply:
% 241.70/47.61  | | |   (57)   ~ (e22 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | SIMP: (57) implies:
% 241.70/47.61  | | |   (58)   ~ (e22 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REDUCE: (17), (53) imply:
% 241.70/47.61  | | |   (59)   ~ (e21 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | SIMP: (59) implies:
% 241.70/47.61  | | |   (60)   ~ (e21 = e20)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (14), (16),
% 241.70/47.61  | | |            (20), (21), (22), (23), (24), (26), (27), (32), (33), (35),
% 241.70/47.61  | | |            (37), (38), (40), (42), (43), (44), (46), (56), (58), (60) are
% 241.70/47.61  | | |            inconsistent by sub-proof #208.
% 241.70/47.61  | | | 
% 241.70/47.61  | | Case 2:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (61)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 241.70/47.61  | | |           op2(e20, e23) = e24)
% 241.70/47.61  | | | 
% 241.70/47.61  | | | BETA: splitting (61) gives:
% 241.70/47.61  | | | 
% 241.70/47.61  | | | Case 1:
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | |   (62)  all_24_13 = e24 & op2(e21, e23) = e24
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | | REF_CLOSE: (4), (15), (62) are inconsistent by sub-proof #814.
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | Case 2:
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | |   (63)  all_24_21 = e24 & op2(e20, e23) = e24
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | | REF_CLOSE: (7), (10), (11), (12), (14), (18), (19), (30), (31), (37),
% 241.70/47.61  | | | |            (39), (63) are inconsistent by sub-proof #837.
% 241.70/47.61  | | | | 
% 241.70/47.61  | | | End of split
% 241.70/47.61  | | | 
% 241.70/47.61  | | End of split
% 241.70/47.61  | | 
% 241.70/47.61  | End of split
% 241.70/47.61  | 
% 241.70/47.61  End of proof
% 241.70/47.61  
% 241.70/47.61  Sub-proof #208 shows that the following formulas are inconsistent:
% 241.70/47.61  ----------------------------------------------------------------
% 241.70/47.61    (1)  op2(e24, e22) = all_16_10
% 241.70/47.61    (2)  op2(e23, unit2) = e23
% 241.70/47.61    (3)   ~ (unit2 = e23)
% 241.70/47.61    (4)   ~ (e24 = e20)
% 241.70/47.61    (5)  all_24_2 = e23
% 241.70/47.61    (6)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.61             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.61           e20 & op2(e21, e20) = e20)
% 241.70/47.61    (7)   ~ (e23 = e21)
% 241.70/47.61    (8)  op2(e23, e21) = e24
% 241.70/47.61    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.61           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.61           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.61    (10)   ~ (e23 = e22)
% 241.70/47.61    (11)   ~ (e22 = e20)
% 241.70/47.61    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.61            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.61    (13)  op2(unit2, e20) = e20
% 241.70/47.61    (14)   ~ (e23 = e20)
% 241.70/47.61    (15)   ~ (all_16_10 = e22)
% 241.70/47.61    (16)   ~ (e24 = e21)
% 241.70/47.61    (17)   ~ (e22 = e21)
% 241.70/47.61    (18)  op2(e24, unit2) = e24
% 241.70/47.61    (19)  op2(e23, e22) = e20
% 241.70/47.61    (20)  all_24_18 = e23
% 241.70/47.61    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.61    (22)  op2(unit2, e22) = e22
% 241.70/47.61    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.61            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.61            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.61    (24)   ~ (e21 = e20)
% 241.70/47.61    (25)   ~ (e24 = e22)
% 241.70/47.61    (26)   ~ (e24 = e23)
% 241.70/47.61    (27)  op2(e23, e21) = all_10_1
% 241.70/47.61    (28)  op2(e21, unit2) = e21
% 241.70/47.61    (29)  all_24_17 = e22
% 241.70/47.61    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.61            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.61            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.61    (31)  all_24_5 = e20
% 241.70/47.61    (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.61            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.61            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.61  
% 241.70/47.61  Begin of proof
% 241.70/47.61  | 
% 241.70/47.61  | BETA: splitting (6) gives:
% 241.70/47.61  | 
% 241.70/47.61  | Case 1:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (33)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 241.70/47.61  | |           op2(e23, e20) = e20)
% 241.70/47.61  | | 
% 241.70/47.61  | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (10), (11), (12), (14), (15), (16),
% 241.70/47.61  | |            (17), (18), (19), (21), (22), (23), (24), (25), (26), (27), (30),
% 241.70/47.61  | |            (31), (32), (33) are inconsistent by sub-proof #220.
% 241.70/47.61  | | 
% 241.70/47.61  | Case 2:
% 241.70/47.61  | | 
% 241.70/47.61  | |   (34)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 241.70/47.61  | |           op2(e21, e20) = e20)
% 241.70/47.61  | | 
% 241.70/47.61  | | BETA: splitting (34) gives:
% 241.70/47.61  | | 
% 241.70/47.61  | | Case 1:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (35)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (12), (14), (16), (17), (19),
% 241.70/47.61  | | |            (20), (24), (25), (26), (27), (29), (30), (32), (35) are
% 241.70/47.61  | | |            inconsistent by sub-proof #209.
% 241.70/47.61  | | | 
% 241.70/47.61  | | Case 2:
% 241.70/47.61  | | | 
% 241.70/47.61  | | |   (36)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.70/47.61  | | | 
% 241.70/47.61  | | | REF_CLOSE: (1), (2), (3), (8), (12), (13), (14), (15), (18), (19), (21),
% 241.70/47.61  | | |            (22), (26), (27), (28), (36) are inconsistent by sub-proof
% 241.70/47.61  | | |            #219.
% 241.70/47.61  | | | 
% 241.70/47.61  | | End of split
% 241.70/47.61  | | 
% 241.70/47.61  | End of split
% 241.70/47.61  | 
% 241.70/47.61  End of proof
% 241.70/47.61  
% 241.70/47.61  Sub-proof #209 shows that the following formulas are inconsistent:
% 241.70/47.61  ----------------------------------------------------------------
% 241.70/47.61    (1)   ~ (e24 = e20)
% 241.70/47.61    (2)  all_24_2 = e23
% 241.70/47.61    (3)   ~ (e23 = e21)
% 241.70/47.61    (4)  op2(e23, e21) = e24
% 241.70/47.61    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.61           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.61           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.61    (6)   ~ (e23 = e22)
% 241.70/47.62    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.62           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.62    (8)   ~ (e23 = e20)
% 241.70/47.62    (9)   ~ (e24 = e21)
% 241.70/47.62    (10)   ~ (e22 = e21)
% 241.70/47.62    (11)  op2(e23, e22) = e20
% 241.70/47.62    (12)  all_24_18 = e23
% 241.70/47.62    (13)   ~ (e21 = e20)
% 241.70/47.62    (14)   ~ (e24 = e22)
% 241.70/47.62    (15)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.70/47.62    (16)   ~ (e24 = e23)
% 241.70/47.62    (17)  op2(e23, e21) = all_10_1
% 241.70/47.62    (18)  all_24_17 = e22
% 241.70/47.62    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.62            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.62            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.62    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.62            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.62            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.62  
% 241.70/47.62  Begin of proof
% 241.70/47.62  | 
% 241.70/47.62  | ALPHA: (15) implies:
% 241.70/47.62  |   (21)  all_24_18 = e20
% 241.70/47.62  | 
% 241.70/47.62  | COMBINE_EQS: (12), (21) imply:
% 241.70/47.62  |   (22)  e23 = e20
% 241.70/47.62  | 
% 241.70/47.62  | COMBINE_EQS: (2), (22) imply:
% 241.70/47.62  |   (23)  all_24_2 = e20
% 241.70/47.62  | 
% 241.70/47.62  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 241.70/47.62  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.70/47.62  |            #1308.
% 241.70/47.62  | 
% 241.70/47.62  End of proof
% 241.70/47.62  
% 241.70/47.62  Sub-proof #210 shows that the following formulas are inconsistent:
% 241.70/47.62  ----------------------------------------------------------------
% 241.70/47.62    (1)   ~ (all_16_1 = e24)
% 241.70/47.62    (2)  op2(e23, e21) = e24
% 241.70/47.62    (3)   ~ (all_16_1 = e21)
% 241.70/47.62    (4)  op2(e23, e23) = e21
% 241.70/47.62    (5)   ~ (e22 = e20)
% 241.70/47.62    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.62           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.62    (7)   ~ (e22 = e21)
% 241.70/47.62    (8)   ~ (all_16_1 = e20)
% 241.70/47.62    (9)  op2(e23, e22) = e20
% 241.70/47.62    (10)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.62            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.62            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.62    (11)   ~ (e24 = e22)
% 241.70/47.62    (12)  all_24_17 = e23
% 241.70/47.62    (13)  op2(e23, e24) = all_16_1
% 241.70/47.62    (14)  op2(e23, e21) = all_10_1
% 241.70/47.62    (15)  all_20_5 = e24 | all_20_5 = e23 | all_20_5 = e22 | all_20_5 = e21 |
% 241.70/47.62          all_20_5 = e20
% 241.70/47.62    (16)   ~ (all_16_1 = e22)
% 241.70/47.62    (17)  all_20_5 = all_16_1
% 241.70/47.62  
% 241.70/47.62  Begin of proof
% 241.70/47.62  | 
% 241.70/47.62  | BETA: splitting (15) gives:
% 241.70/47.62  | 
% 241.70/47.62  | Case 1:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (18)  all_20_5 = e23
% 241.70/47.62  | | 
% 241.70/47.62  | | COMBINE_EQS: (17), (18) imply:
% 241.70/47.62  | |   (19)  all_16_1 = e23
% 241.70/47.62  | | 
% 241.70/47.62  | | REDUCE: (16), (19) imply:
% 241.70/47.62  | |   (20)   ~ (e23 = e22)
% 241.70/47.62  | | 
% 241.70/47.62  | | REDUCE: (13), (19) imply:
% 241.70/47.62  | |   (21)  op2(e23, e24) = e23
% 241.70/47.62  | | 
% 241.70/47.62  | | BETA: splitting (10) gives:
% 241.70/47.62  | | 
% 241.70/47.62  | | Case 1:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 &
% 241.70/47.62  | | |           op2(e23, e23) = e22)
% 241.70/47.62  | | | 
% 241.70/47.62  | | | REF_CLOSE: (4), (6), (7), (20), (21), (22) are inconsistent by sub-proof
% 241.70/47.62  | | |            #964.
% 241.70/47.62  | | | 
% 241.70/47.62  | | Case 2:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (23)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.62  | | |           op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.62  | | | 
% 241.70/47.62  | | | BETA: splitting (23) gives:
% 241.70/47.62  | | | 
% 241.70/47.62  | | | Case 1:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | |   (24)  all_24_5 = e22 & op2(e23, e22) = e22
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | REF_CLOSE: (5), (6), (9), (24) are inconsistent by sub-proof #1330.
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | Case 2:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | |   (25)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 241.70/47.62  | | | |           op2(e23, e20) = e22)
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | BETA: splitting (25) gives:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | Case 1:
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | |   (26)  all_24_10 = e22 & op2(e23, e21) = e22
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | ALPHA: (26) implies:
% 241.70/47.62  | | | | |   (27)  op2(e23, e21) = e22
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | REF_CLOSE: (2), (6), (11), (14), (27) are inconsistent by sub-proof
% 241.70/47.62  | | | | |            #963.
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | Case 2:
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | |   (28)  all_24_17 = e22 & op2(e23, e20) = e22
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | ALPHA: (28) implies:
% 241.70/47.62  | | | | |   (29)  all_24_17 = e22
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | COMBINE_EQS: (12), (29) imply:
% 241.70/47.62  | | | | |   (30)  e23 = e22
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | REDUCE: (20), (30) imply:
% 241.70/47.62  | | | | |   (31)  $false
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | | CLOSE: (31) is inconsistent.
% 241.70/47.62  | | | | | 
% 241.70/47.62  | | | | End of split
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | End of split
% 241.70/47.62  | | | 
% 241.70/47.62  | | End of split
% 241.70/47.62  | | 
% 241.70/47.62  | Case 2:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (32)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 241.70/47.62  | | 
% 241.70/47.62  | | REF_CLOSE: (1), (3), (8), (16), (17), (32) are inconsistent by sub-proof
% 241.70/47.62  | |            #211.
% 241.70/47.62  | | 
% 241.70/47.62  | End of split
% 241.70/47.62  | 
% 241.70/47.62  End of proof
% 241.70/47.62  
% 241.70/47.62  Sub-proof #211 shows that the following formulas are inconsistent:
% 241.70/47.62  ----------------------------------------------------------------
% 241.70/47.62    (1)   ~ (all_16_1 = e24)
% 241.70/47.62    (2)   ~ (all_16_1 = e21)
% 241.70/47.62    (3)   ~ (all_16_1 = e20)
% 241.70/47.62    (4)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 241.70/47.62    (5)   ~ (all_16_1 = e22)
% 241.70/47.62    (6)  all_20_5 = all_16_1
% 241.70/47.62  
% 241.70/47.62  Begin of proof
% 241.70/47.62  | 
% 241.70/47.62  | BETA: splitting (4) gives:
% 241.70/47.62  | 
% 241.70/47.62  | Case 1:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (7)  all_20_5 = e24
% 241.70/47.62  | | 
% 241.70/47.62  | | COMBINE_EQS: (6), (7) imply:
% 241.70/47.62  | |   (8)  all_16_1 = e24
% 241.70/47.62  | | 
% 241.70/47.62  | | REDUCE: (1), (8) imply:
% 241.70/47.62  | |   (9)  $false
% 241.70/47.62  | | 
% 241.70/47.62  | | CLOSE: (9) is inconsistent.
% 241.70/47.62  | | 
% 241.70/47.62  | Case 2:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (10)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 241.70/47.62  | | 
% 241.70/47.62  | | BETA: splitting (10) gives:
% 241.70/47.62  | | 
% 241.70/47.62  | | Case 1:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (11)  all_20_5 = e22
% 241.70/47.62  | | | 
% 241.70/47.62  | | | COMBINE_EQS: (6), (11) imply:
% 241.70/47.62  | | |   (12)  all_16_1 = e22
% 241.70/47.62  | | | 
% 241.70/47.62  | | | REDUCE: (5), (12) imply:
% 241.70/47.62  | | |   (13)  $false
% 241.70/47.62  | | | 
% 241.70/47.62  | | | CLOSE: (13) is inconsistent.
% 241.70/47.62  | | | 
% 241.70/47.62  | | Case 2:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (14)  all_20_5 = e21 | all_20_5 = e20
% 241.70/47.62  | | | 
% 241.70/47.62  | | | REF_CLOSE: (2), (3), (6), (14) are inconsistent by sub-proof #959.
% 241.70/47.62  | | | 
% 241.70/47.62  | | End of split
% 241.70/47.62  | | 
% 241.70/47.62  | End of split
% 241.70/47.62  | 
% 241.70/47.62  End of proof
% 241.70/47.62  
% 241.70/47.62  Sub-proof #212 shows that the following formulas are inconsistent:
% 241.70/47.62  ----------------------------------------------------------------
% 241.70/47.62    (1)  op2(e24, e22) = all_16_10
% 241.70/47.62    (2)  op2(e24, e20) = e23
% 241.70/47.62    (3)  op2(e22, unit2) = e22
% 241.70/47.62    (4)  op2(unit2, e24) = e24
% 241.70/47.62    (5)  op2(e23, unit2) = e23
% 241.70/47.62    (6)   ~ (unit2 = e23)
% 241.70/47.62    (7)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 241.70/47.62             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 241.70/47.62           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.70/47.62    (8)   ~ (e24 = e20)
% 241.70/47.62    (9)  all_24_2 = e23
% 241.70/47.62    (10)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.62              e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.62            e20 & op2(e21, e20) = e20)
% 241.70/47.62    (11)   ~ (e23 = e21)
% 241.70/47.62    (12)   ~ (all_16_8 = all_16_9)
% 241.70/47.62    (13)  op2(e23, e21) = e24
% 241.70/47.62    (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.62            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.62            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.62    (15)  op2(e23, e23) = e21
% 241.70/47.62    (16)  op2(e22, e20) = all_16_22
% 241.70/47.62    (17)   ~ (e23 = e22)
% 241.70/47.62    (18)  op2(e20, unit2) = e20
% 241.70/47.62    (19)   ~ (all_16_9 = e21)
% 241.70/47.62    (20)   ~ (e22 = e20)
% 241.70/47.62    (21)  op2(e21, e23) = all_16_8
% 241.70/47.62    (22)   ~ (all_16_7 = all_16_8)
% 241.70/47.62    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.62            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.62    (24)  op2(unit2, e20) = e20
% 241.70/47.62    (25)   ~ (all_16_8 = e21)
% 241.70/47.62    (26)   ~ (all_16_22 = e22)
% 241.70/47.62    (27)   ~ (e23 = e20)
% 241.70/47.62    (28)   ~ (all_16_7 = e23)
% 241.70/47.62    (29)  op2(e24, e23) = e22
% 241.70/47.62    (30)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 241.70/47.62              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 241.70/47.62            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.70/47.62    (31)   ~ (all_16_10 = e22)
% 241.70/47.62    (32)   ~ (e24 = e21)
% 241.70/47.62    (33)  op2(e20, e22) = all_16_14
% 241.70/47.62    (34)   ~ (e22 = e21)
% 241.70/47.62    (35)  op2(e24, unit2) = e24
% 241.70/47.62    (36)  op2(e23, e22) = e20
% 241.70/47.62    (37)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 241.70/47.62              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 241.70/47.62            e20 & op2(e20, e21) = e20)
% 241.70/47.62    (38)   ~ (all_16_7 = all_16_9)
% 241.70/47.62    (39)   ~ (all_16_14 = e20)
% 241.70/47.62    (40)  all_24_1 = e22
% 241.70/47.62    (41)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.62    (42)  op2(e20, e23) = all_16_9
% 241.70/47.62    (43)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.62            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.70/47.62            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.62    (44)   ~ (all_16_22 = e23)
% 241.70/47.62    (45)   ~ (all_16_8 = e23)
% 241.70/47.62    (46)  op2(e22, e23) = all_16_7
% 241.70/47.62    (47)   ~ (all_16_9 = e22)
% 241.70/47.62    (48)  op2(unit2, e22) = e22
% 241.70/47.62    (49)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.62            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.62            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.62    (50)  all_24_16 = e23
% 241.70/47.62    (51)   ~ (all_16_7 = e22)
% 241.70/47.62    (52)   ~ (e21 = e20)
% 241.70/47.62    (53)   ~ (e24 = e22)
% 241.70/47.62    (54)   ~ (all_16_7 = e21)
% 241.70/47.62    (55)   ~ (e24 = e23)
% 241.70/47.62    (56)  op2(e23, e21) = all_10_1
% 241.70/47.62    (57)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.62            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.70/47.62            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.70/47.62    (58)  op2(e21, unit2) = e21
% 241.70/47.62    (59)   ~ (all_16_8 = e22)
% 241.70/47.62    (60)  op2(e23, e20) = e22
% 241.70/47.62    (61)  all_24_17 = e22
% 241.70/47.62    (62)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.62            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.62            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.62    (63)  all_24_5 = e20
% 241.70/47.62    (64)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.70/47.62            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.70/47.62            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.70/47.62    (65)  all_24_3 = e21
% 241.70/47.62    (66)   ~ (all_16_7 = all_16_22)
% 241.70/47.62    (67)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.62            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.62            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.62  
% 241.70/47.62  Begin of proof
% 241.70/47.62  | 
% 241.70/47.62  | BETA: splitting (57) gives:
% 241.70/47.62  | 
% 241.70/47.62  | Case 1:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (68)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 241.70/47.62  | |             e23) = e23)
% 241.70/47.62  | | 
% 241.70/47.62  | | REF_CLOSE: (11), (15), (17), (23), (29), (68) are inconsistent by sub-proof
% 241.70/47.62  | |            #955.
% 241.70/47.62  | | 
% 241.70/47.62  | Case 2:
% 241.70/47.62  | | 
% 241.70/47.62  | |   (69)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 241.70/47.62  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.70/47.62  | | 
% 241.70/47.62  | | BETA: splitting (69) gives:
% 241.70/47.62  | | 
% 241.70/47.62  | | Case 1:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (70)  all_24_7 = e23 & op2(e22, e23) = e23
% 241.70/47.62  | | | 
% 241.70/47.62  | | | REF_CLOSE: (23), (28), (46), (70) are inconsistent by sub-proof #954.
% 241.70/47.62  | | | 
% 241.70/47.62  | | Case 2:
% 241.70/47.62  | | | 
% 241.70/47.62  | | |   (71)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 241.70/47.62  | | |           op2(e20, e23) = e23)
% 241.70/47.62  | | | 
% 241.70/47.62  | | | BETA: splitting (71) gives:
% 241.70/47.62  | | | 
% 241.70/47.62  | | | Case 1:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | |   (72)  all_24_13 = e23 & op2(e21, e23) = e23
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | REF_CLOSE: (21), (23), (45), (72) are inconsistent by sub-proof #953.
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | Case 2:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | |   (73)  all_24_21 = e23 & op2(e20, e23) = e23
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | ALPHA: (73) implies:
% 241.70/47.62  | | | |   (74)  all_24_21 = e23
% 241.70/47.62  | | | |   (75)  op2(e20, e23) = e23
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | GROUND_INST: instantiating (23) with all_16_9, e23, e23, e20,
% 241.70/47.62  | | | |              simplifying with (42), (75) gives:
% 241.70/47.62  | | | |   (76)  all_16_9 = e23
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | BETA: splitting (64) gives:
% 241.70/47.62  | | | | 
% 241.70/47.62  | | | | Case 1:
% 241.70/47.62  | | | | | 
% 241.70/47.63  | | | | |   (77)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 &
% 241.70/47.63  | | | | |           op2(e23, e23) = e20)
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | | BETA: splitting (77) gives:
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | | Case 1:
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | |   (78)  all_24_1 = e20 & op2(e24, e23) = e20
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | REF_CLOSE: (20), (23), (29), (78) are inconsistent by sub-proof
% 241.70/47.63  | | | | | |            #911.
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | Case 2:
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | |   (79)  all_24_3 = e20 & op2(e23, e23) = e20
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | REF_CLOSE: (15), (23), (52), (79) are inconsistent by sub-proof
% 241.70/47.63  | | | | | |            #1306.
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | End of split
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | Case 2:
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | |   (80)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.70/47.63  | | | | |           op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) =
% 241.70/47.63  | | | | |           e20)
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | | BETA: splitting (80) gives:
% 241.70/47.63  | | | | | 
% 241.70/47.63  | | | | | Case 1:
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | |   (81)  all_24_7 = e20 & op2(e22, e23) = e20
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | ALPHA: (81) implies:
% 241.70/47.63  | | | | | |   (82)  all_24_7 = e20
% 241.70/47.63  | | | | | |   (83)  op2(e22, e23) = e20
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | REF_CLOSE: (1), (5), (6), (8), (10), (11), (13), (14), (15), (16),
% 241.70/47.63  | | | | | |            (17), (21), (22), (23), (24), (25), (28), (29), (31),
% 241.70/47.63  | | | | | |            (32), (34), (35), (36), (40), (41), (43), (45), (46),
% 241.70/47.63  | | | | | |            (48), (49), (51), (53), (54), (55), (56), (57), (58),
% 241.70/47.63  | | | | | |            (59), (62), (63), (65), (66), (67), (82), (83) are
% 241.70/47.63  | | | | | |            inconsistent by sub-proof #217.
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | Case 2:
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | |   (84)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 241.70/47.63  | | | | | |           op2(e20, e23) = e20)
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | BETA: splitting (84) gives:
% 241.70/47.63  | | | | | | 
% 241.70/47.63  | | | | | | Case 1:
% 241.70/47.63  | | | | | | | 
% 241.70/47.63  | | | | | | |   (85)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.70/47.63  | | | | | | | 
% 241.70/47.63  | | | | | | | ALPHA: (85) implies:
% 241.70/47.63  | | | | | | |   (86)  all_24_13 = e20
% 241.70/47.63  | | | | | | |   (87)  op2(e21, e23) = e20
% 241.70/47.63  | | | | | | | 
% 241.70/47.63  | | | | | | | BETA: splitting (43) gives:
% 241.70/47.63  | | | | | | | 
% 241.70/47.63  | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | |   (88)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24
% 241.70/47.63  | | | | | | | |           & op2(e23, e23) = e24)
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | | BETA: splitting (88) gives:
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | |   (89)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REF_CLOSE: (40), (53), (89) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | |            #870.
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | |   (90)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REF_CLOSE: (32), (65), (90) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | |            #1323.
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | |   (91)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 =
% 241.70/47.63  | | | | | | | |           e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 241.70/47.63  | | | | | | | |           op2(e20, e23) = e24)
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | | BETA: splitting (91) gives:
% 241.70/47.63  | | | | | | | | 
% 241.70/47.63  | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | |   (92)  all_24_7 = e24 & op2(e22, e23) = e24
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | ALPHA: (92) implies:
% 241.70/47.63  | | | | | | | | |   (93)  op2(e22, e23) = e24
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | GROUND_INST: instantiating (23) with all_16_8, e20, e23, e21,
% 241.70/47.63  | | | | | | | | |              simplifying with (21), (87) gives:
% 241.70/47.63  | | | | | | | | |   (94)  all_16_8 = e20
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | GROUND_INST: instantiating (23) with all_16_7, e24, e23, e22,
% 241.70/47.63  | | | | | | | | |              simplifying with (46), (93) gives:
% 241.70/47.63  | | | | | | | | |   (95)  all_16_7 = e24
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REDUCE: (66), (95) imply:
% 241.70/47.63  | | | | | | | | |   (96)   ~ (all_16_22 = e24)
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | SIMP: (96) implies:
% 241.70/47.63  | | | | | | | | |   (97)   ~ (all_16_22 = e24)
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REDUCE: (45), (94) imply:
% 241.70/47.63  | | | | | | | | |   (98)   ~ (e23 = e20)
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REDUCE: (59), (94) imply:
% 241.70/47.63  | | | | | | | | |   (99)   ~ (e22 = e20)
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | REDUCE: (25), (94) imply:
% 241.70/47.63  | | | | | | | | |   (100)   ~ (e21 = e20)
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | BETA: splitting (10) gives:
% 241.70/47.63  | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | |   (101)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 241.70/47.63  | | | | | | | | | |          (all_24_17 = e20 & op2(e23, e20) = e20)
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | REF_CLOSE: (1), (5), (8), (11), (13), (14), (17), (20), (23),
% 241.70/47.63  | | | | | | | | | |            (27), (31), (32), (34), (35), (36), (41), (48),
% 241.70/47.63  | | | | | | | | | |            (49), (52), (53), (55), (56), (62), (63), (67),
% 241.70/47.63  | | | | | | | | | |            (101) are inconsistent by sub-proof #220.
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | |   (102)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 241.70/47.63  | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | BETA: splitting (102) gives:
% 241.70/47.63  | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | |   (103)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | ALPHA: (103) implies:
% 241.70/47.63  | | | | | | | | | | |   (104)  all_24_18 = e20
% 241.70/47.63  | | | | | | | | | | |   (105)  op2(e22, e20) = e20
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | GROUND_INST: instantiating (23) with all_16_22, e20, e20, e22,
% 241.70/47.63  | | | | | | | | | | |              simplifying with (16), (105) gives:
% 241.70/47.63  | | | | | | | | | | |   (106)  all_16_22 = e20
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | REDUCE: (97), (106) imply:
% 241.70/47.63  | | | | | | | | | | |   (107)   ~ (e24 = e20)
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | BETA: splitting (7) gives:
% 241.70/47.63  | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | |   (108)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 241.70/47.63  | | | | | | | | | | | |          (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | BETA: splitting (108) gives:
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | |   (109)  all_24_16 = e24 & op2(e24, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | ALPHA: (109) implies:
% 241.70/47.63  | | | | | | | | | | | | |   (110)  all_24_16 = e24
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | COMBINE_EQS: (50), (110) imply:
% 241.70/47.63  | | | | | | | | | | | | |   (111)  e24 = e23
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | SIMP: (111) implies:
% 241.70/47.63  | | | | | | | | | | | | |   (112)  e24 = e23
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | REDUCE: (55), (112) imply:
% 241.70/47.63  | | | | | | | | | | | | |   (113)  $false
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | CLOSE: (113) is inconsistent.
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | |   (114)  all_24_17 = e24 & op2(e23, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | REF_CLOSE: (11), (13), (15), (17), (20), (23), (27), (34),
% 241.70/47.63  | | | | | | | | | | | | |            (36), (49), (53), (55), (56), (67), (114) are
% 241.70/47.63  | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | |   (115)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 241.70/47.63  | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24) |
% 241.70/47.63  | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | BETA: splitting (115) gives:
% 241.70/47.63  | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | |   (116)  all_24_18 = e24 & op2(e22, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | ALPHA: (116) implies:
% 241.70/47.63  | | | | | | | | | | | | |   (117)  all_24_18 = e24
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | REF_CLOSE: (8), (104), (117) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | | | | | |            #321.
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | |   (118)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 241.70/47.63  | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | BETA: splitting (118) gives:
% 241.70/47.63  | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | |   (119)  all_24_19 = e24 & op2(e21, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | ALPHA: (119) implies:
% 241.70/47.63  | | | | | | | | | | | | | |   (120)  op2(e21, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | |   (121)  unit2 = e24
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | REDUCE: (18), (121) imply:
% 241.70/47.63  | | | | | | | | | | | | | | |   (122)  op2(e20, e24) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (13), (18), (23), (24),
% 241.70/47.63  | | | | | | | | | | | | | | |            (27), (31), (33), (35), (36), (39), (41), (48),
% 241.70/47.63  | | | | | | | | | | | | | | |            (55), (56), (60), (122) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | |            sub-proof #215.
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | |   (123)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (124)  unit2 = e22
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | REDUCE: (18), (124) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (125)  op2(e20, e22) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (39), (125) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | |            sub-proof #961.
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (126)  unit2 = e21 | unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (127)  unit2 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REDUCE: (5), (127) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (128)  op2(e23, e21) = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (55), (56), (128) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | |            sub-proof #957.
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (129)  unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (130)   ~ (unit2 = e21)
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REDUCE: (35), (129) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (131)  op2(e24, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REDUCE: (5), (129) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (132)  op2(e23, e20) = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REDUCE: (3), (129) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (133)  op2(e22, e20) = e22
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REDUCE: (58), (129) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (134)  op2(e21, e20) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e24, e21, e20, e21,
% 241.70/47.63  | | | | | | | | | | | | | | | | |              simplifying with (120), (134) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (135)  e24 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e20, e22, e20, e22,
% 241.70/47.63  | | | | | | | | | | | | | | | | |              simplifying with (105), (133) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (136)  e22 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e22, e23, e20, e23,
% 241.70/47.63  | | | | | | | | | | | | | | | | |              simplifying with (60), (132) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (137)  e23 = e22
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e23, e24, e20, e24,
% 241.70/47.63  | | | | | | | | | | | | | | | | |              simplifying with (2), (131) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (138)  e24 = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (138) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (139)  e23 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (139) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (140)  e22 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (136), (140) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | | | | | | | | | |            #327.
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | |   (141)  all_24_24 = e24 & op2(e20, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | ALPHA: (141) implies:
% 241.70/47.63  | | | | | | | | | | | | | |   (142)  all_24_24 = e24
% 241.70/47.63  | | | | | | | | | | | | | |   (143)  op2(e20, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 241.70/47.63  | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | |   (144)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 241.70/47.63  | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (145)  all_24_20 = e20 & op2(e20, e24) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (146)  op2(e20, e24) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (13), (18), (23), (24),
% 241.70/47.63  | | | | | | | | | | | | | | | |            (27), (31), (33), (35), (36), (39), (41), (48),
% 241.70/47.63  | | | | | | | | | | | | | | | |            (55), (56), (60), (146) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | |            sub-proof #215.
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (147)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (148)  all_24_21 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (148) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (149)  e23 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11), (13), (14), (17), (23), (27),
% 241.70/47.63  | | | | | | | | | | | | | | | |            (32), (34), (36), (52), (53), (55), (56), (61),
% 241.70/47.63  | | | | | | | | | | | | | | | |            (62), (67), (149) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | | | | | | | | |            #214.
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | |   (150)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 241.70/47.63  | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (151)  all_24_22 = e20 & op2(e20, e22) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (152)  op2(e20, e22) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (39), (152) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | |            sub-proof #961.
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | |   (153)  all_24_23 = e20 & op2(e20, e21) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | |   (154)  all_24_23 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (155)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 241.70/47.63  | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (156)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (157)  op2(e20, e24) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (158)  unit2 = e24
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REDUCE: (18), (158) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (159)  op2(e20, e24) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (13), (18), (23), (24),
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            (27), (31), (33), (35), (36), (39), (41), (48),
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            (55), (56), (60), (159) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            sub-proof #215.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (160)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | |   (161)  unit2 = e22
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (161) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | |   (162)  op2(e20, e22) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (39), (162) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | |            sub-proof #961.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | |   (163)  unit2 = e21 | unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (164)  unit2 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (164) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (165)  op2(e23, e21) = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (55), (56), (165) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |            sub-proof #957.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (166)  unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (167)   ~ (unit2 = e21)
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (166) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (168)  op2(e20, e24) = e24
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (166) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (169)  op2(e24, e20) = e24
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (166) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (170)  op2(e23, e20) = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (166) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (171)  op2(e20, e20) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e24, e20, e20, e20,
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |              simplifying with (143), (171) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (172)  e24 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e21, e24, e24, e20,
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |              simplifying with (157), (168) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (173)  e24 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e22, e23, e20, e23,
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |              simplifying with (60), (170) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (174)  e23 = e22
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with e23, e24, e20, e24,
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |              simplifying with (2), (169) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (175)  e24 = e23
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (175) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (176)  e23 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (173), (175) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (177)  e23 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (177) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (178)  e22 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (176) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |   (179)  e22 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (178), (179) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | |            #327.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (180)  all_24_21 = e21 & op2(e20, e23) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (181)  all_24_21 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (181) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (182)  e23 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (183)  e23 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (183) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (184)  all_24_2 = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (15), (17), (23), (27), (32), (36),
% 241.70/47.63  | | | | | | | | | | | | | | | | | |            (53), (55), (56), (61), (62), (67), (184) are
% 241.70/47.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1299.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | |   (185)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 241.70/47.63  | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 241.70/47.63  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (186)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (187)  op2(e20, e22) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (188)  unit2 = e24
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REDUCE: (24), (188) imply:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (189)  op2(e24, e20) = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (13), (23), (27), (31), (35), (36),
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            (41), (48), (55), (56), (189) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            sub-proof #509.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (190)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (13), (23), (27), (36), (48), (55),
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            (56), (105), (187), (190) are inconsistent by
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            sub-proof #320.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | End of split
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | |   (191)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 241.70/47.63  | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 1:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (192)  all_24_23 = e21 & op2(e20, e21) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (154), (192) are inconsistent by sub-proof
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |            #590.
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | Case 2:
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | |   (193)  all_24_24 = e21 & op2(e20, e20) = e21
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.63  | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 241.70/47.64  | | | | | | | | | | | | | | | | | | |   (194)  all_24_24 = e21
% 241.70/47.64  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (142), (194) are inconsistent by sub-proof
% 241.70/47.64  | | | | | | | | | | | | | | | | | | |            #636.
% 241.70/47.64  | | | | | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | Case 2:
% 241.70/47.64  | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | |   (195)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.70/47.64  | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (13), (23), (24), (27), (31), (35),
% 241.70/47.64  | | | | | | | | | | |            (36), (41), (48), (55), (56), (58), (195) are
% 241.70/47.64  | | | | | | | | | | |            inconsistent by sub-proof #219.
% 241.70/47.64  | | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | | 
% 241.70/47.64  | | | | | | | | Case 2:
% 241.70/47.64  | | | | | | | | | 
% 241.70/47.64  | | | | | | | | |   (196)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21
% 241.70/47.64  | | | | | | | | |            = e24 & op2(e20, e23) = e24)
% 241.70/47.64  | | | | | | | | | 
% 241.70/47.64  | | | | | | | | | REF_CLOSE: (8), (11), (15), (17), (21), (23), (28), (29),
% 241.70/47.64  | | | | | | | | |            (45), (46), (55), (57), (86), (196) are
% 241.70/47.64  | | | | | | | | |            inconsistent by sub-proof #604.
% 241.70/47.64  | | | | | | | | | 
% 241.70/47.64  | | | | | | | | End of split
% 241.70/47.64  | | | | | | | | 
% 241.70/47.64  | | | | | | | End of split
% 241.70/47.64  | | | | | | | 
% 241.70/47.64  | | | | | | Case 2:
% 241.70/47.64  | | | | | | | 
% 241.70/47.64  | | | | | | |   (197)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.70/47.64  | | | | | | | 
% 241.70/47.64  | | | | | | | REF_CLOSE: (8), (9), (11), (13), (14), (17), (23), (27), (32),
% 241.70/47.64  | | | | | | |            (34), (36), (52), (53), (55), (56), (61), (62), (67),
% 241.70/47.64  | | | | | | |            (74), (197) are inconsistent by sub-proof #213.
% 241.70/47.64  | | | | | | | 
% 241.70/47.64  | | | | | | End of split
% 241.70/47.64  | | | | | | 
% 241.70/47.64  | | | | | End of split
% 241.70/47.64  | | | | | 
% 241.70/47.64  | | | | End of split
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | End of split
% 241.70/47.64  | | | 
% 241.70/47.64  | | End of split
% 241.70/47.64  | | 
% 241.70/47.64  | End of split
% 241.70/47.64  | 
% 241.70/47.64  End of proof
% 241.70/47.64  
% 241.70/47.64  Sub-proof #213 shows that the following formulas are inconsistent:
% 241.70/47.64  ----------------------------------------------------------------
% 241.70/47.64    (1)  all_24_21 = e20 & op2(e20, e23) = e20
% 241.70/47.64    (2)   ~ (e24 = e20)
% 241.70/47.64    (3)  all_24_2 = e23
% 241.70/47.64    (4)   ~ (e23 = e21)
% 241.70/47.64    (5)  op2(e23, e21) = e24
% 241.70/47.64    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.64           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.64           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.64    (7)   ~ (e23 = e22)
% 241.70/47.64    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.64    (9)  all_24_21 = e23
% 241.70/47.64    (10)   ~ (e23 = e20)
% 241.70/47.64    (11)   ~ (e24 = e21)
% 241.70/47.64    (12)   ~ (e22 = e21)
% 241.70/47.64    (13)  op2(e23, e22) = e20
% 241.70/47.64    (14)   ~ (e21 = e20)
% 241.70/47.64    (15)   ~ (e24 = e22)
% 241.70/47.64    (16)   ~ (e24 = e23)
% 241.70/47.64    (17)  op2(e23, e21) = all_10_1
% 241.70/47.64    (18)  all_24_17 = e22
% 241.70/47.64    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.64            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.64            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.64    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.64            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.64            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.64  
% 241.70/47.64  Begin of proof
% 241.70/47.64  | 
% 241.70/47.64  | ALPHA: (1) implies:
% 241.70/47.64  |   (21)  all_24_21 = e20
% 241.70/47.64  | 
% 241.70/47.64  | COMBINE_EQS: (9), (21) imply:
% 241.70/47.64  |   (22)  e23 = e20
% 241.70/47.64  | 
% 241.70/47.64  | COMBINE_EQS: (3), (22) imply:
% 241.70/47.64  |   (23)  all_24_2 = e20
% 241.70/47.64  | 
% 241.70/47.64  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 241.70/47.64  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 241.70/47.64  |            #1308.
% 241.70/47.64  | 
% 241.70/47.64  End of proof
% 241.70/47.64  
% 241.70/47.64  Sub-proof #214 shows that the following formulas are inconsistent:
% 241.70/47.64  ----------------------------------------------------------------
% 241.70/47.64    (1)   ~ (e24 = e20)
% 241.70/47.64    (2)  all_24_2 = e23
% 241.70/47.64    (3)   ~ (e23 = e21)
% 241.70/47.64    (4)  op2(e23, e21) = e24
% 241.70/47.64    (5)  e23 = e20
% 241.70/47.64    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.64           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.64           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.64    (7)   ~ (e23 = e22)
% 241.70/47.64    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.64    (9)   ~ (e23 = e20)
% 241.70/47.64    (10)   ~ (e24 = e21)
% 241.70/47.64    (11)   ~ (e22 = e21)
% 241.70/47.64    (12)  op2(e23, e22) = e20
% 241.70/47.64    (13)   ~ (e21 = e20)
% 241.70/47.64    (14)   ~ (e24 = e22)
% 241.70/47.64    (15)   ~ (e24 = e23)
% 241.70/47.64    (16)  op2(e23, e21) = all_10_1
% 241.70/47.64    (17)  all_24_17 = e22
% 241.70/47.64    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.64            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.64            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.64    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.64            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.64            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.64  
% 241.70/47.64  Begin of proof
% 241.70/47.64  | 
% 241.70/47.64  | SIMP: (5) implies:
% 241.70/47.64  |   (20)  e23 = e20
% 241.70/47.64  | 
% 241.70/47.64  | COMBINE_EQS: (2), (20) imply:
% 241.70/47.64  |   (21)  all_24_2 = e20
% 241.70/47.64  | 
% 241.70/47.64  | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.70/47.64  |            (15), (16), (17), (18), (19), (21) are inconsistent by sub-proof
% 241.70/47.64  |            #1308.
% 241.70/47.64  | 
% 241.70/47.64  End of proof
% 241.70/47.64  
% 241.70/47.64  Sub-proof #215 shows that the following formulas are inconsistent:
% 241.70/47.64  ----------------------------------------------------------------
% 241.70/47.64    (1)  op2(e24, e22) = all_16_10
% 241.70/47.64    (2)  op2(e24, e20) = e23
% 241.70/47.64    (3)  op2(unit2, e24) = e24
% 241.70/47.64    (4)  op2(e23, unit2) = e23
% 241.70/47.64    (5)   ~ (unit2 = e23)
% 241.70/47.64    (6)  op2(e23, e21) = e24
% 241.70/47.64    (7)  op2(e20, unit2) = e20
% 241.70/47.64    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.64    (9)  op2(unit2, e20) = e20
% 241.70/47.64    (10)   ~ (e23 = e20)
% 241.70/47.64    (11)   ~ (all_16_10 = e22)
% 241.70/47.64    (12)  op2(e20, e22) = all_16_14
% 241.70/47.64    (13)  op2(e24, unit2) = e24
% 241.70/47.64    (14)  op2(e23, e22) = e20
% 241.70/47.64    (15)   ~ (all_16_14 = e20)
% 241.70/47.64    (16)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.64    (17)  op2(e20, e24) = e20
% 241.70/47.64    (18)  op2(unit2, e22) = e22
% 241.70/47.64    (19)   ~ (e24 = e23)
% 241.70/47.64    (20)  op2(e23, e21) = all_10_1
% 241.70/47.64    (21)  op2(e23, e20) = e22
% 241.70/47.64  
% 241.70/47.64  Begin of proof
% 241.70/47.64  | 
% 241.70/47.64  | BETA: splitting (16) gives:
% 241.70/47.64  | 
% 241.70/47.64  | Case 1:
% 241.70/47.64  | | 
% 241.70/47.64  | |   (22)  unit2 = e24
% 241.70/47.64  | | 
% 241.70/47.64  | | REDUCE: (9), (22) imply:
% 241.70/47.64  | |   (23)  op2(e24, e20) = e20
% 241.70/47.64  | | 
% 241.70/47.64  | | REF_CLOSE: (1), (4), (6), (8), (10), (11), (13), (14), (16), (18), (19),
% 241.70/47.64  | |            (20), (23) are inconsistent by sub-proof #509.
% 241.70/47.64  | | 
% 241.70/47.64  | Case 2:
% 241.70/47.64  | | 
% 241.70/47.64  | |   (24)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.64  | | 
% 241.70/47.64  | | BETA: splitting (24) gives:
% 241.70/47.64  | | 
% 241.70/47.64  | | Case 1:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (25)  unit2 = e22
% 241.70/47.64  | | | 
% 241.70/47.64  | | | REDUCE: (7), (25) imply:
% 241.70/47.64  | | |   (26)  op2(e20, e22) = e20
% 241.70/47.64  | | | 
% 241.70/47.64  | | | REF_CLOSE: (8), (12), (15), (26) are inconsistent by sub-proof #961.
% 241.70/47.64  | | | 
% 241.70/47.64  | | Case 2:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (27)   ~ (unit2 = e22)
% 241.70/47.64  | | |   (28)  unit2 = e21 | unit2 = e20
% 241.70/47.64  | | | 
% 241.70/47.64  | | | BETA: splitting (28) gives:
% 241.70/47.64  | | | 
% 241.70/47.64  | | | Case 1:
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | |   (29)  unit2 = e21
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (4), (29) imply:
% 241.70/47.64  | | | |   (30)  op2(e23, e21) = e23
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REF_CLOSE: (6), (8), (19), (20), (30) are inconsistent by sub-proof
% 241.70/47.64  | | | |            #957.
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | Case 2:
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | |   (31)  unit2 = e20
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (27), (31) imply:
% 241.70/47.64  | | | |   (32)   ~ (e22 = e20)
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | SIMP: (32) implies:
% 241.70/47.64  | | | |   (33)   ~ (e22 = e20)
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (3), (31) imply:
% 241.70/47.64  | | | |   (34)  op2(e20, e24) = e24
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (13), (31) imply:
% 241.70/47.64  | | | |   (35)  op2(e24, e20) = e24
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (4), (31) imply:
% 241.70/47.64  | | | |   (36)  op2(e23, e20) = e23
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | GROUND_INST: instantiating (8) with e20, e24, e24, e20, simplifying with
% 241.70/47.64  | | | |              (17), (34) gives:
% 241.70/47.64  | | | |   (37)  e24 = e20
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | GROUND_INST: instantiating (8) with e22, e23, e20, e23, simplifying with
% 241.70/47.64  | | | |              (21), (36) gives:
% 241.70/47.64  | | | |   (38)  e23 = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | GROUND_INST: instantiating (8) with e23, e24, e20, e24, simplifying with
% 241.70/47.64  | | | |              (2), (35) gives:
% 241.70/47.64  | | | |   (39)  e24 = e23
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | COMBINE_EQS: (37), (39) imply:
% 241.70/47.64  | | | |   (40)  e23 = e20
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | COMBINE_EQS: (38), (40) imply:
% 241.70/47.64  | | | |   (41)  e22 = e20
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (33), (41) imply:
% 241.70/47.64  | | | |   (42)  $false
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | CLOSE: (42) is inconsistent.
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | End of split
% 241.70/47.64  | | | 
% 241.70/47.64  | | End of split
% 241.70/47.64  | | 
% 241.70/47.64  | End of split
% 241.70/47.64  | 
% 241.70/47.64  End of proof
% 241.70/47.64  
% 241.70/47.64  Sub-proof #216 shows that the following formulas are inconsistent:
% 241.70/47.64  ----------------------------------------------------------------
% 241.70/47.64    (1)   ~ (e23 = e21)
% 241.70/47.64    (2)  op2(e23, e21) = e24
% 241.70/47.64    (3)  op2(e23, e23) = e21
% 241.70/47.64    (4)   ~ (e23 = e22)
% 241.70/47.64    (5)   ~ (e22 = e20)
% 241.70/47.64    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.64    (7)   ~ (e23 = e20)
% 241.70/47.64    (8)  all_24_17 = e24 & op2(e23, e20) = e24
% 241.70/47.64    (9)   ~ (e22 = e21)
% 241.70/47.64    (10)  op2(e23, e22) = e20
% 241.70/47.64    (11)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.64            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.64            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.64    (12)   ~ (e24 = e22)
% 241.70/47.64    (13)   ~ (e24 = e23)
% 241.70/47.64    (14)  op2(e23, e21) = all_10_1
% 241.70/47.64    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.64            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.64            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.64  
% 241.70/47.64  Begin of proof
% 241.70/47.64  | 
% 241.70/47.64  | ALPHA: (8) implies:
% 241.70/47.64  |   (16)  all_24_17 = e24
% 241.70/47.64  | 
% 241.70/47.64  | BETA: splitting (11) gives:
% 241.70/47.64  | 
% 241.70/47.64  | Case 1:
% 241.70/47.64  | | 
% 241.70/47.64  | |   (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 241.70/47.64  | |             e23) = e22)
% 241.70/47.64  | | 
% 241.70/47.64  | | BETA: splitting (17) gives:
% 241.70/47.64  | | 
% 241.70/47.64  | | Case 1:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (18)  all_24_2 = e22 & op2(e23, e24) = e22
% 241.70/47.64  | | | 
% 241.70/47.64  | | | ALPHA: (18) implies:
% 241.70/47.64  | | |   (19)  all_24_2 = e22
% 241.70/47.64  | | | 
% 241.70/47.64  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (13), (14), (15), (16),
% 241.70/47.64  | | |            (19) are inconsistent by sub-proof #733.
% 241.70/47.64  | | | 
% 241.70/47.64  | | Case 2:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (20)  all_24_3 = e22 & op2(e23, e23) = e22
% 241.70/47.64  | | | 
% 241.70/47.64  | | | REF_CLOSE: (3), (6), (9), (20) are inconsistent by sub-proof #1331.
% 241.70/47.64  | | | 
% 241.70/47.64  | | End of split
% 241.70/47.64  | | 
% 241.70/47.64  | Case 2:
% 241.70/47.64  | | 
% 241.70/47.64  | |   (21)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 241.70/47.64  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.64  | | 
% 241.70/47.64  | | BETA: splitting (21) gives:
% 241.70/47.64  | | 
% 241.70/47.64  | | Case 1:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (22)  all_24_5 = e22 & op2(e23, e22) = e22
% 241.70/47.64  | | | 
% 241.70/47.64  | | | REF_CLOSE: (5), (6), (10), (22) are inconsistent by sub-proof #1330.
% 241.70/47.64  | | | 
% 241.70/47.64  | | Case 2:
% 241.70/47.64  | | | 
% 241.70/47.64  | | |   (23)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 241.70/47.64  | | |           op2(e23, e20) = e22)
% 241.70/47.64  | | | 
% 241.70/47.64  | | | BETA: splitting (23) gives:
% 241.70/47.64  | | | 
% 241.70/47.64  | | | Case 1:
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | |   (24)  all_24_10 = e22 & op2(e23, e21) = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | ALPHA: (24) implies:
% 241.70/47.64  | | | |   (25)  op2(e23, e21) = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REF_CLOSE: (2), (6), (12), (14), (25) are inconsistent by sub-proof
% 241.70/47.64  | | | |            #963.
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | Case 2:
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | |   (26)  all_24_17 = e22 & op2(e23, e20) = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | ALPHA: (26) implies:
% 241.70/47.64  | | | |   (27)  all_24_17 = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | COMBINE_EQS: (16), (27) imply:
% 241.70/47.64  | | | |   (28)  e24 = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | SIMP: (28) implies:
% 241.70/47.64  | | | |   (29)  e24 = e22
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | REDUCE: (12), (29) imply:
% 241.70/47.64  | | | |   (30)  $false
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | | CLOSE: (30) is inconsistent.
% 241.70/47.64  | | | | 
% 241.70/47.64  | | | End of split
% 241.70/47.64  | | | 
% 241.70/47.64  | | End of split
% 241.70/47.64  | | 
% 241.70/47.64  | End of split
% 241.70/47.64  | 
% 241.70/47.64  End of proof
% 241.70/47.64  
% 241.70/47.64  Sub-proof #217 shows that the following formulas are inconsistent:
% 241.70/47.64  ----------------------------------------------------------------
% 241.70/47.64    (1)  op2(e24, e22) = all_16_10
% 241.70/47.64    (2)  all_24_7 = e20
% 241.70/47.64    (3)  op2(e23, unit2) = e23
% 241.70/47.64    (4)   ~ (unit2 = e23)
% 241.70/47.64    (5)   ~ (e24 = e20)
% 241.70/47.64    (6)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.64             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.64           e20 & op2(e21, e20) = e20)
% 241.70/47.64    (7)   ~ (e23 = e21)
% 241.70/47.64    (8)  op2(e23, e21) = e24
% 241.70/47.64    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.64           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.64           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.64    (10)  op2(e23, e23) = e21
% 241.70/47.64    (11)  op2(e22, e20) = all_16_22
% 241.70/47.64    (12)   ~ (e23 = e22)
% 241.70/47.64    (13)  op2(e21, e23) = all_16_8
% 241.70/47.64    (14)   ~ (all_16_7 = all_16_8)
% 241.70/47.64    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.64            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.64    (16)  op2(unit2, e20) = e20
% 241.70/47.64    (17)   ~ (all_16_8 = e21)
% 241.70/47.64    (18)   ~ (all_16_7 = e23)
% 241.70/47.64    (19)  op2(e24, e23) = e22
% 241.70/47.64    (20)   ~ (all_16_10 = e22)
% 241.70/47.64    (21)   ~ (e24 = e21)
% 241.70/47.64    (22)   ~ (e22 = e21)
% 241.70/47.65    (23)  op2(e24, unit2) = e24
% 241.70/47.65    (24)  op2(e23, e22) = e20
% 241.70/47.65    (25)  all_24_1 = e22
% 241.70/47.65    (26)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.65    (27)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.65            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.70/47.65            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.65    (28)   ~ (all_16_8 = e23)
% 241.70/47.65    (29)  op2(e22, e23) = all_16_7
% 241.70/47.65    (30)  op2(unit2, e22) = e22
% 241.70/47.65    (31)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.65            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.65            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.65    (32)  op2(e22, e23) = e20
% 241.70/47.65    (33)   ~ (all_16_7 = e22)
% 241.70/47.65    (34)   ~ (e24 = e22)
% 241.70/47.65    (35)   ~ (all_16_7 = e21)
% 241.70/47.65    (36)   ~ (e24 = e23)
% 241.70/47.65    (37)  op2(e23, e21) = all_10_1
% 241.70/47.65    (38)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.65            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.70/47.65            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.70/47.65    (39)  op2(e21, unit2) = e21
% 241.70/47.65    (40)   ~ (all_16_8 = e22)
% 241.70/47.65    (41)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.65            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.65            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.65    (42)  all_24_5 = e20
% 241.70/47.65    (43)  all_24_3 = e21
% 241.70/47.65    (44)   ~ (all_16_7 = all_16_22)
% 241.70/47.65    (45)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.65            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.65            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.65  
% 241.70/47.65  Begin of proof
% 241.70/47.65  | 
% 241.70/47.65  | BETA: splitting (27) gives:
% 241.70/47.65  | 
% 241.70/47.65  | Case 1:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (46)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 241.70/47.65  | |             e23) = e24)
% 241.70/47.65  | | 
% 241.70/47.65  | | BETA: splitting (46) gives:
% 241.70/47.65  | | 
% 241.70/47.65  | | Case 1:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (47)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.70/47.65  | | | 
% 241.70/47.65  | | | REF_CLOSE: (25), (34), (47) are inconsistent by sub-proof #870.
% 241.70/47.65  | | | 
% 241.70/47.65  | | Case 2:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (48)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.70/47.65  | | | 
% 241.70/47.65  | | | REF_CLOSE: (21), (43), (48) are inconsistent by sub-proof #1323.
% 241.70/47.65  | | | 
% 241.70/47.65  | | End of split
% 241.70/47.65  | | 
% 241.70/47.65  | Case 2:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (49)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 241.70/47.65  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.70/47.65  | | 
% 241.70/47.65  | | BETA: splitting (49) gives:
% 241.70/47.65  | | 
% 241.70/47.65  | | Case 1:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (50)  all_24_7 = e24 & op2(e22, e23) = e24
% 241.70/47.65  | | | 
% 241.70/47.65  | | | ALPHA: (50) implies:
% 241.70/47.65  | | |   (51)  all_24_7 = e24
% 241.70/47.65  | | | 
% 241.70/47.65  | | | REF_CLOSE: (2), (5), (51) are inconsistent by sub-proof #869.
% 241.70/47.65  | | | 
% 241.70/47.65  | | Case 2:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (52)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 241.70/47.65  | | |           op2(e20, e23) = e24)
% 241.70/47.65  | | | 
% 241.70/47.65  | | | BETA: splitting (52) gives:
% 241.70/47.65  | | | 
% 241.70/47.65  | | | Case 1:
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | |   (53)  all_24_13 = e24 & op2(e21, e23) = e24
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | ALPHA: (53) implies:
% 241.70/47.65  | | | |   (54)  op2(e21, e23) = e24
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | GROUND_INST: instantiating (15) with all_16_8, e24, e23, e21,
% 241.70/47.65  | | | |              simplifying with (13), (54) gives:
% 241.70/47.65  | | | |   (55)  all_16_8 = e24
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | GROUND_INST: instantiating (15) with all_16_7, e20, e23, e22,
% 241.70/47.65  | | | |              simplifying with (29), (32) gives:
% 241.70/47.65  | | | |   (56)  all_16_7 = e20
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REDUCE: (14), (55), (56) imply:
% 241.70/47.65  | | | |   (57)   ~ (e24 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REDUCE: (44), (56) imply:
% 241.70/47.65  | | | |   (58)   ~ (all_16_22 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | SIMP: (58) implies:
% 241.70/47.65  | | | |   (59)   ~ (all_16_22 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REDUCE: (18), (56) imply:
% 241.70/47.65  | | | |   (60)   ~ (e23 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | SIMP: (60) implies:
% 241.70/47.65  | | | |   (61)   ~ (e23 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REDUCE: (33), (56) imply:
% 241.70/47.65  | | | |   (62)   ~ (e22 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | SIMP: (62) implies:
% 241.70/47.65  | | | |   (63)   ~ (e22 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REDUCE: (35), (56) imply:
% 241.70/47.65  | | | |   (64)   ~ (e21 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | SIMP: (64) implies:
% 241.70/47.65  | | | |   (65)   ~ (e21 = e20)
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (12), (15),
% 241.70/47.65  | | | |            (16), (20), (21), (22), (23), (24), (26), (30), (31), (34),
% 241.70/47.65  | | | |            (36), (37), (39), (41), (42), (45), (59), (61), (63), (65)
% 241.70/47.65  | | | |            are inconsistent by sub-proof #218.
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | Case 2:
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | |   (66)  all_24_21 = e24 & op2(e20, e23) = e24
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | | REF_CLOSE: (7), (10), (12), (13), (15), (18), (19), (28), (29), (36),
% 241.70/47.65  | | | |            (38), (66) are inconsistent by sub-proof #837.
% 241.70/47.65  | | | | 
% 241.70/47.65  | | | End of split
% 241.70/47.65  | | | 
% 241.70/47.65  | | End of split
% 241.70/47.65  | | 
% 241.70/47.65  | End of split
% 241.70/47.65  | 
% 241.70/47.65  End of proof
% 241.70/47.65  
% 241.70/47.65  Sub-proof #218 shows that the following formulas are inconsistent:
% 241.70/47.65  ----------------------------------------------------------------
% 241.70/47.65    (1)  op2(e24, e22) = all_16_10
% 241.70/47.65    (2)  op2(e23, unit2) = e23
% 241.70/47.65    (3)   ~ (unit2 = e23)
% 241.70/47.65    (4)   ~ (e24 = e20)
% 241.70/47.65    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.65             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.70/47.65           e20 & op2(e21, e20) = e20)
% 241.70/47.65    (6)   ~ (e23 = e21)
% 241.70/47.65    (7)  op2(e23, e21) = e24
% 241.70/47.65    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.65           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.65           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.65    (9)  op2(e22, e20) = all_16_22
% 241.70/47.65    (10)   ~ (e23 = e22)
% 241.70/47.65    (11)   ~ (e22 = e20)
% 241.70/47.65    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.65            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.65    (13)  op2(unit2, e20) = e20
% 241.70/47.65    (14)   ~ (all_16_22 = e20)
% 241.70/47.65    (15)   ~ (e23 = e20)
% 241.70/47.65    (16)   ~ (all_16_10 = e22)
% 241.70/47.65    (17)   ~ (e24 = e21)
% 241.70/47.65    (18)   ~ (e22 = e21)
% 241.70/47.65    (19)  op2(e24, unit2) = e24
% 241.70/47.65    (20)  op2(e23, e22) = e20
% 241.70/47.65    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.65    (22)  op2(unit2, e22) = e22
% 241.70/47.65    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.65            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.65            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.65    (24)   ~ (e21 = e20)
% 241.70/47.65    (25)   ~ (e24 = e22)
% 241.70/47.65    (26)   ~ (e24 = e23)
% 241.70/47.65    (27)  op2(e23, e21) = all_10_1
% 241.70/47.65    (28)  op2(e21, unit2) = e21
% 241.70/47.65    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.65            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.65            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.65    (30)  all_24_5 = e20
% 241.70/47.65    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.65            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.65            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.65  
% 241.70/47.65  Begin of proof
% 241.70/47.65  | 
% 241.70/47.65  | BETA: splitting (5) gives:
% 241.70/47.65  | 
% 241.70/47.65  | Case 1:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (32)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 241.70/47.65  | |           op2(e23, e20) = e20)
% 241.70/47.65  | | 
% 241.70/47.65  | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (10), (11), (12), (15), (16), (17),
% 241.70/47.65  | |            (18), (19), (20), (21), (22), (23), (24), (25), (26), (27), (29),
% 241.70/47.65  | |            (30), (31), (32) are inconsistent by sub-proof #220.
% 241.70/47.65  | | 
% 241.70/47.65  | Case 2:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (33)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 241.70/47.65  | |           op2(e21, e20) = e20)
% 241.70/47.65  | | 
% 241.70/47.65  | | BETA: splitting (33) gives:
% 241.70/47.65  | | 
% 241.70/47.65  | | Case 1:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (34)  all_24_18 = e20 & op2(e22, e20) = e20
% 241.70/47.65  | | | 
% 241.70/47.65  | | | REF_CLOSE: (9), (12), (14), (34) are inconsistent by sub-proof #727.
% 241.70/47.65  | | | 
% 241.70/47.65  | | Case 2:
% 241.70/47.65  | | | 
% 241.70/47.65  | | |   (35)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.70/47.65  | | | 
% 241.70/47.65  | | | REF_CLOSE: (1), (2), (3), (7), (12), (13), (15), (16), (19), (20), (21),
% 241.70/47.65  | | |            (22), (26), (27), (28), (35) are inconsistent by sub-proof
% 241.70/47.65  | | |            #219.
% 241.70/47.65  | | | 
% 241.70/47.65  | | End of split
% 241.70/47.65  | | 
% 241.70/47.65  | End of split
% 241.70/47.65  | 
% 241.70/47.65  End of proof
% 241.70/47.65  
% 241.70/47.65  Sub-proof #219 shows that the following formulas are inconsistent:
% 241.70/47.65  ----------------------------------------------------------------
% 241.70/47.65    (1)  op2(e24, e22) = all_16_10
% 241.70/47.65    (2)  op2(e23, unit2) = e23
% 241.70/47.65    (3)   ~ (unit2 = e23)
% 241.70/47.65    (4)  op2(e23, e21) = e24
% 241.70/47.65    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.65           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.65    (6)  op2(unit2, e20) = e20
% 241.70/47.65    (7)   ~ (e23 = e20)
% 241.70/47.65    (8)   ~ (all_16_10 = e22)
% 241.70/47.65    (9)  op2(e24, unit2) = e24
% 241.70/47.65    (10)  op2(e23, e22) = e20
% 241.70/47.65    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.65    (12)  op2(unit2, e22) = e22
% 241.70/47.65    (13)   ~ (e24 = e23)
% 241.70/47.65    (14)  op2(e23, e21) = all_10_1
% 241.70/47.65    (15)  op2(e21, unit2) = e21
% 241.70/47.65    (16)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.70/47.65  
% 241.70/47.65  Begin of proof
% 241.70/47.65  | 
% 241.70/47.65  | ALPHA: (16) implies:
% 241.70/47.65  |   (17)  op2(e21, e20) = e20
% 241.70/47.65  | 
% 241.70/47.65  | BETA: splitting (11) gives:
% 241.70/47.65  | 
% 241.70/47.65  | Case 1:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (18)  unit2 = e24
% 241.70/47.65  | | 
% 241.70/47.65  | | REDUCE: (6), (18) imply:
% 241.70/47.65  | |   (19)  op2(e24, e20) = e20
% 241.70/47.65  | | 
% 241.70/47.65  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.70/47.65  | |            (19) are inconsistent by sub-proof #509.
% 241.70/47.65  | | 
% 241.70/47.65  | Case 2:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (20)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.65  | | 
% 241.70/47.65  | | REF_CLOSE: (2), (4), (5), (7), (10), (13), (14), (15), (17), (20) are
% 241.70/47.65  | |            inconsistent by sub-proof #780.
% 241.70/47.65  | | 
% 241.70/47.65  | End of split
% 241.70/47.65  | 
% 241.70/47.65  End of proof
% 241.70/47.65  
% 241.70/47.65  Sub-proof #220 shows that the following formulas are inconsistent:
% 241.70/47.65  ----------------------------------------------------------------
% 241.70/47.65    (1)  op2(e24, e22) = all_16_10
% 241.70/47.65    (2)  op2(e23, unit2) = e23
% 241.70/47.65    (3)   ~ (e24 = e20)
% 241.70/47.65    (4)   ~ (e23 = e21)
% 241.70/47.65    (5)  op2(e23, e21) = e24
% 241.70/47.65    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.65           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.65           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.65    (7)   ~ (e23 = e22)
% 241.70/47.65    (8)   ~ (e22 = e20)
% 241.70/47.65    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.70/47.65           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.70/47.65    (10)   ~ (e23 = e20)
% 241.70/47.65    (11)   ~ (all_16_10 = e22)
% 241.70/47.65    (12)   ~ (e24 = e21)
% 241.70/47.65    (13)   ~ (e22 = e21)
% 241.70/47.65    (14)  op2(e24, unit2) = e24
% 241.70/47.65    (15)  op2(e23, e22) = e20
% 241.70/47.65    (16)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.70/47.65    (17)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.70/47.65              e20) = e20)
% 241.70/47.65    (18)  op2(unit2, e22) = e22
% 241.70/47.65    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.65            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.65            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.65    (20)   ~ (e21 = e20)
% 241.70/47.65    (21)   ~ (e24 = e22)
% 241.70/47.65    (22)   ~ (e24 = e23)
% 241.70/47.65    (23)  op2(e23, e21) = all_10_1
% 241.70/47.65    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.65            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.65            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.65    (25)  all_24_5 = e20
% 241.70/47.65    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.65            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.65            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.65  
% 241.70/47.65  Begin of proof
% 241.70/47.65  | 
% 241.70/47.65  | BETA: splitting (17) gives:
% 241.70/47.65  | 
% 241.70/47.65  | Case 1:
% 241.70/47.65  | | 
% 241.70/47.65  | |   (27)  all_24_16 = e20 & op2(e24, e20) = e20
% 241.70/47.65  | | 
% 241.70/47.65  | | ALPHA: (27) implies:
% 241.70/47.66  | |   (28)  op2(e24, e20) = e20
% 241.70/47.66  | | 
% 241.70/47.66  | | REF_CLOSE: (1), (2), (5), (9), (10), (11), (14), (15), (16), (18), (22),
% 241.70/47.66  | |            (23), (28) are inconsistent by sub-proof #509.
% 241.70/47.66  | | 
% 241.70/47.66  | Case 2:
% 241.70/47.66  | | 
% 241.70/47.66  | |   (29)  all_24_17 = e20 & op2(e23, e20) = e20
% 241.70/47.66  | | 
% 241.70/47.66  | | ALPHA: (29) implies:
% 241.70/47.66  | |   (30)  all_24_17 = e20
% 241.70/47.66  | | 
% 241.70/47.66  | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (12), (13), (19), (20), (21),
% 241.70/47.66  | |            (22), (24), (25), (26), (30) are inconsistent by sub-proof #221.
% 241.70/47.66  | | 
% 241.70/47.66  | End of split
% 241.70/47.66  | 
% 241.70/47.66  End of proof
% 241.70/47.66  
% 241.70/47.66  Sub-proof #221 shows that the following formulas are inconsistent:
% 241.70/47.66  ----------------------------------------------------------------
% 241.70/47.66    (1)  all_24_17 = e20
% 241.70/47.66    (2)   ~ (e24 = e20)
% 241.70/47.66    (3)   ~ (e23 = e21)
% 241.70/47.66    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.66           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.66           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.66    (5)   ~ (e23 = e22)
% 241.70/47.66    (6)   ~ (e22 = e20)
% 241.70/47.66    (7)   ~ (e23 = e20)
% 241.70/47.66    (8)   ~ (e24 = e21)
% 241.70/47.66    (9)   ~ (e22 = e21)
% 241.70/47.66    (10)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.70/47.66            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.70/47.66            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.66    (11)   ~ (e21 = e20)
% 241.70/47.66    (12)   ~ (e24 = e22)
% 241.70/47.66    (13)   ~ (e24 = e23)
% 241.70/47.66    (14)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.66            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.66            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.66    (15)  all_24_5 = e20
% 241.70/47.66    (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.70/47.66            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.66            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.70/47.66  
% 241.70/47.66  Begin of proof
% 241.70/47.66  | 
% 241.70/47.66  | BETA: splitting (10) gives:
% 241.70/47.66  | 
% 241.70/47.66  | Case 1:
% 241.70/47.66  | | 
% 241.70/47.66  | |   (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 241.70/47.66  | |             e23) = e22)
% 241.70/47.66  | | 
% 241.70/47.66  | | BETA: splitting (17) gives:
% 241.70/47.66  | | 
% 241.70/47.66  | | Case 1:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (18)  all_24_2 = e22 & op2(e23, e24) = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | ALPHA: (18) implies:
% 241.70/47.66  | | |   (19)  all_24_2 = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 241.70/47.66  | | |            (15), (16), (19) are inconsistent by sub-proof #891.
% 241.70/47.66  | | | 
% 241.70/47.66  | | Case 2:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (20)  all_24_3 = e22 & op2(e23, e23) = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | ALPHA: (20) implies:
% 241.70/47.66  | | |   (21)  all_24_3 = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 241.70/47.66  | | |            (15), (16), (21) are inconsistent by sub-proof #227.
% 241.70/47.66  | | | 
% 241.70/47.66  | | End of split
% 241.70/47.66  | | 
% 241.70/47.66  | Case 2:
% 241.70/47.66  | | 
% 241.70/47.66  | |   (22)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 241.70/47.66  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.70/47.66  | | 
% 241.70/47.66  | | BETA: splitting (22) gives:
% 241.70/47.66  | | 
% 241.70/47.66  | | Case 1:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (23)  all_24_5 = e22 & op2(e23, e22) = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | ALPHA: (23) implies:
% 241.70/47.66  | | |   (24)  all_24_5 = e22
% 241.70/47.66  | | | 
% 241.70/47.66  | | | COMBINE_EQS: (15), (24) imply:
% 241.70/47.66  | | |   (25)  e22 = e20
% 241.70/47.66  | | | 
% 241.70/47.66  | | | REDUCE: (6), (25) imply:
% 241.70/47.66  | | |   (26)  $false
% 241.70/47.66  | | | 
% 241.70/47.66  | | | CLOSE: (26) is inconsistent.
% 241.70/47.66  | | | 
% 241.70/47.66  | | Case 2:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (27)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 241.70/47.66  | | |           op2(e23, e20) = e22)
% 241.70/47.66  | | | 
% 241.70/47.66  | | | BETA: splitting (27) gives:
% 241.70/47.66  | | | 
% 241.70/47.66  | | | Case 1:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | |   (28)  all_24_10 = e22 & op2(e23, e21) = e22
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | ALPHA: (28) implies:
% 241.70/47.66  | | | |   (29)  all_24_10 = e22
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | BETA: splitting (16) gives:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | Case 1:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | |   (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 241.70/47.66  | | | | |           op2(e23, e23) = e23)
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | BETA: splitting (30) gives:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | Case 1:
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | |   (31)  all_24_2 = e23 & op2(e23, e24) = e23
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | ALPHA: (31) implies:
% 241.70/47.66  | | | | | |   (32)  all_24_2 = e23
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (11), (12), (13), (14),
% 241.70/47.66  | | | | | |            (15), (29), (32) are inconsistent by sub-proof #224.
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | Case 2:
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | |   (33)  all_24_3 = e23 & op2(e23, e23) = e23
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | ALPHA: (33) implies:
% 241.70/47.66  | | | | | |   (34)  all_24_3 = e23
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (11), (12), (13), (14),
% 241.70/47.66  | | | | | |            (15), (29), (34) are inconsistent by sub-proof #223.
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | End of split
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | Case 2:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | |   (35)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.70/47.66  | | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 241.70/47.66  | | | | |           e23)
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | BETA: splitting (35) gives:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | Case 1:
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | |   (36)  all_24_5 = e23 & op2(e23, e22) = e23
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | REF_CLOSE: (7), (15), (36) are inconsistent by sub-proof #897.
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | Case 2:
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | |   (37)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 241.70/47.66  | | | | | |           op2(e23, e20) = e23)
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | BETA: splitting (37) gives:
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | | Case 1:
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | |   (38)  all_24_10 = e23 & op2(e23, e21) = e23
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | | REF_CLOSE: (5), (29), (38) are inconsistent by sub-proof #1325.
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | Case 2:
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | |   (39)  all_24_17 = e23 & op2(e23, e20) = e23
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | | REF_CLOSE: (1), (7), (39) are inconsistent by sub-proof #892.
% 241.70/47.66  | | | | | | | 
% 241.70/47.66  | | | | | | End of split
% 241.70/47.66  | | | | | | 
% 241.70/47.66  | | | | | End of split
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | End of split
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | Case 2:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | |   (40)  all_24_17 = e22 & op2(e23, e20) = e22
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | REF_CLOSE: (1), (6), (40) are inconsistent by sub-proof #222.
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | End of split
% 241.70/47.66  | | | 
% 241.70/47.66  | | End of split
% 241.70/47.66  | | 
% 241.70/47.66  | End of split
% 241.70/47.66  | 
% 241.70/47.66  End of proof
% 241.70/47.66  
% 241.70/47.66  Sub-proof #222 shows that the following formulas are inconsistent:
% 241.70/47.66  ----------------------------------------------------------------
% 241.70/47.66    (1)  all_24_17 = e22 & op2(e23, e20) = e22
% 241.70/47.66    (2)  all_24_17 = e20
% 241.70/47.66    (3)   ~ (e22 = e20)
% 241.70/47.66  
% 241.70/47.66  Begin of proof
% 241.70/47.66  | 
% 241.70/47.66  | ALPHA: (1) implies:
% 241.70/47.66  |   (4)  all_24_17 = e22
% 241.70/47.66  | 
% 241.70/47.66  | COMBINE_EQS: (2), (4) imply:
% 241.70/47.66  |   (5)  e22 = e20
% 241.70/47.66  | 
% 241.70/47.66  | REDUCE: (3), (5) imply:
% 241.70/47.66  |   (6)  $false
% 241.70/47.66  | 
% 241.70/47.66  | CLOSE: (6) is inconsistent.
% 241.70/47.66  | 
% 241.70/47.66  End of proof
% 241.70/47.66  
% 241.70/47.66  Sub-proof #223 shows that the following formulas are inconsistent:
% 241.70/47.66  ----------------------------------------------------------------
% 241.70/47.66    (1)  all_24_17 = e20
% 241.70/47.66    (2)   ~ (e24 = e20)
% 241.70/47.66    (3)   ~ (e23 = e21)
% 241.70/47.66    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.70/47.66           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.70/47.66           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.66    (5)  all_24_3 = e23
% 241.70/47.66    (6)   ~ (e24 = e21)
% 241.70/47.66    (7)  all_24_10 = e22
% 241.70/47.66    (8)   ~ (e22 = e21)
% 241.70/47.66    (9)   ~ (e21 = e20)
% 241.70/47.66    (10)   ~ (e24 = e22)
% 241.70/47.66    (11)   ~ (e24 = e23)
% 241.70/47.66    (12)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.70/47.66            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.66            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.66    (13)  all_24_5 = e20
% 241.70/47.66  
% 241.70/47.66  Begin of proof
% 241.70/47.66  | 
% 241.70/47.66  | BETA: splitting (4) gives:
% 241.70/47.66  | 
% 241.70/47.66  | Case 1:
% 241.70/47.66  | | 
% 241.70/47.66  | |   (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 241.70/47.66  | |             e23) = e21)
% 241.70/47.66  | | 
% 241.70/47.66  | | BETA: splitting (14) gives:
% 241.70/47.66  | | 
% 241.70/47.66  | | Case 1:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (15)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.70/47.66  | | | 
% 241.70/47.66  | | | ALPHA: (15) implies:
% 241.70/47.66  | | |   (16)  all_24_2 = e21
% 241.70/47.66  | | | 
% 241.70/47.66  | | | BETA: splitting (12) gives:
% 241.70/47.66  | | | 
% 241.70/47.66  | | | Case 1:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | |   (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 241.70/47.66  | | | |           op2(e23, e23) = e24)
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | BETA: splitting (17) gives:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | Case 1:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | |   (18)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | REF_CLOSE: (6), (16), (18) are inconsistent by sub-proof #229.
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | Case 2:
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | |   (19)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | | REF_CLOSE: (5), (11), (19) are inconsistent by sub-proof #903.
% 241.70/47.66  | | | | | 
% 241.70/47.66  | | | | End of split
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | Case 2:
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | |   (20)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.70/47.66  | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | | REF_CLOSE: (1), (2), (7), (10), (13), (20) are inconsistent by sub-proof
% 241.70/47.66  | | | |            #226.
% 241.70/47.66  | | | | 
% 241.70/47.66  | | | End of split
% 241.70/47.66  | | | 
% 241.70/47.66  | | Case 2:
% 241.70/47.66  | | | 
% 241.70/47.66  | | |   (21)  all_24_3 = e21 & op2(e23, e23) = e21
% 241.70/47.66  | | | 
% 241.70/47.66  | | | ALPHA: (21) implies:
% 241.70/47.66  | | |   (22)  all_24_3 = e21
% 241.70/47.66  | | | 
% 241.70/47.66  | | | REF_CLOSE: (3), (5), (22) are inconsistent by sub-proof #1328.
% 241.70/47.66  | | | 
% 241.70/47.66  | | End of split
% 241.70/47.66  | | 
% 241.70/47.66  | Case 2:
% 241.70/47.66  | | 
% 241.70/47.66  | |   (23)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23,
% 241.70/47.66  | |             e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.70/47.66  | | 
% 241.70/47.66  | | REF_CLOSE: (1), (7), (8), (9), (13), (23) are inconsistent by sub-proof
% 241.70/47.66  | |            #225.
% 241.70/47.66  | | 
% 241.70/47.66  | End of split
% 241.70/47.66  | 
% 241.70/47.66  End of proof
% 241.70/47.66  
% 241.70/47.66  Sub-proof #224 shows that the following formulas are inconsistent:
% 241.70/47.66  ----------------------------------------------------------------
% 241.70/47.66    (1)  all_24_17 = e20
% 241.70/47.66    (2)   ~ (e24 = e20)
% 241.70/47.66    (3)  all_24_2 = e23
% 241.70/47.66    (4)   ~ (e23 = e21)
% 241.88/47.66    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.88/47.66           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.88/47.66           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.88/47.66    (6)   ~ (e24 = e21)
% 241.88/47.66    (7)  all_24_10 = e22
% 241.88/47.66    (8)   ~ (e22 = e21)
% 241.88/47.66    (9)   ~ (e21 = e20)
% 241.88/47.66    (10)   ~ (e24 = e22)
% 241.88/47.66    (11)   ~ (e24 = e23)
% 241.88/47.66    (12)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.88/47.66            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.88/47.66            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.88/47.66    (13)  all_24_5 = e20
% 241.88/47.66  
% 241.88/47.66  Begin of proof
% 241.88/47.66  | 
% 241.88/47.66  | BETA: splitting (5) gives:
% 241.88/47.66  | 
% 241.88/47.66  | Case 1:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 241.88/47.66  | |             e23) = e21)
% 241.88/47.66  | | 
% 241.88/47.66  | | BETA: splitting (14) gives:
% 241.88/47.66  | | 
% 241.88/47.66  | | Case 1:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (15)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.88/47.66  | | | 
% 241.88/47.66  | | | REF_CLOSE: (3), (4), (15) are inconsistent by sub-proof #235.
% 241.88/47.66  | | | 
% 241.88/47.66  | | Case 2:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (16)  all_24_3 = e21 & op2(e23, e23) = e21
% 241.88/47.66  | | | 
% 241.88/47.66  | | | ALPHA: (16) implies:
% 241.88/47.66  | | |   (17)  all_24_3 = e21
% 241.88/47.66  | | | 
% 241.88/47.66  | | | BETA: splitting (12) gives:
% 241.88/47.66  | | | 
% 241.88/47.66  | | | Case 1:
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | |   (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 241.88/47.66  | | | |           op2(e23, e23) = e24)
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | | BETA: splitting (18) gives:
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | | Case 1:
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | |   (19)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | | REF_CLOSE: (3), (11), (19) are inconsistent by sub-proof #233.
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | Case 2:
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | |   (20)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | | REF_CLOSE: (6), (17), (20) are inconsistent by sub-proof #896.
% 241.88/47.66  | | | | | 
% 241.88/47.66  | | | | End of split
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | Case 2:
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | |   (21)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.88/47.66  | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | | REF_CLOSE: (1), (2), (7), (10), (13), (21) are inconsistent by sub-proof
% 241.88/47.66  | | | |            #226.
% 241.88/47.66  | | | | 
% 241.88/47.66  | | | End of split
% 241.88/47.66  | | | 
% 241.88/47.66  | | End of split
% 241.88/47.66  | | 
% 241.88/47.66  | Case 2:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (22)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23,
% 241.88/47.66  | |             e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.88/47.66  | | 
% 241.88/47.66  | | REF_CLOSE: (1), (7), (8), (9), (13), (22) are inconsistent by sub-proof
% 241.88/47.66  | |            #225.
% 241.88/47.66  | | 
% 241.88/47.66  | End of split
% 241.88/47.66  | 
% 241.88/47.66  End of proof
% 241.88/47.66  
% 241.88/47.66  Sub-proof #225 shows that the following formulas are inconsistent:
% 241.88/47.66  ----------------------------------------------------------------
% 241.88/47.66    (1)  all_24_17 = e20
% 241.88/47.66    (2)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23, e21)
% 241.88/47.66           = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.88/47.66    (3)  all_24_10 = e22
% 241.88/47.66    (4)   ~ (e22 = e21)
% 241.88/47.66    (5)   ~ (e21 = e20)
% 241.88/47.66    (6)  all_24_5 = e20
% 241.88/47.66  
% 241.88/47.66  Begin of proof
% 241.88/47.66  | 
% 241.88/47.66  | BETA: splitting (2) gives:
% 241.88/47.66  | 
% 241.88/47.66  | Case 1:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (7)  all_24_5 = e21 & op2(e23, e22) = e21
% 241.88/47.66  | | 
% 241.88/47.66  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #905.
% 241.88/47.66  | | 
% 241.88/47.66  | Case 2:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (8)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23,
% 241.88/47.66  | |            e20) = e21)
% 241.88/47.66  | | 
% 241.88/47.66  | | BETA: splitting (8) gives:
% 241.88/47.66  | | 
% 241.88/47.66  | | Case 1:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (9)  all_24_10 = e21 & op2(e23, e21) = e21
% 241.88/47.66  | | | 
% 241.88/47.66  | | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1317.
% 241.88/47.66  | | | 
% 241.88/47.66  | | Case 2:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (10)  all_24_17 = e21 & op2(e23, e20) = e21
% 241.88/47.66  | | | 
% 241.88/47.66  | | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #900.
% 241.88/47.66  | | | 
% 241.88/47.66  | | End of split
% 241.88/47.66  | | 
% 241.88/47.66  | End of split
% 241.88/47.66  | 
% 241.88/47.66  End of proof
% 241.88/47.66  
% 241.88/47.66  Sub-proof #226 shows that the following formulas are inconsistent:
% 241.88/47.66  ----------------------------------------------------------------
% 241.88/47.66    (1)  all_24_17 = e20
% 241.88/47.66    (2)   ~ (e24 = e20)
% 241.88/47.66    (3)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23, e21)
% 241.88/47.66           = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.88/47.66    (4)  all_24_10 = e22
% 241.88/47.66    (5)   ~ (e24 = e22)
% 241.88/47.66    (6)  all_24_5 = e20
% 241.88/47.66  
% 241.88/47.66  Begin of proof
% 241.88/47.66  | 
% 241.88/47.66  | BETA: splitting (3) gives:
% 241.88/47.66  | 
% 241.88/47.66  | Case 1:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (7)  all_24_5 = e24 & op2(e23, e22) = e24
% 241.88/47.66  | | 
% 241.88/47.66  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #1322.
% 241.88/47.66  | | 
% 241.88/47.66  | Case 2:
% 241.88/47.66  | | 
% 241.88/47.66  | |   (8)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 241.88/47.66  | |            e20) = e24)
% 241.88/47.66  | | 
% 241.88/47.66  | | BETA: splitting (8) gives:
% 241.88/47.66  | | 
% 241.88/47.66  | | Case 1:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (9)  all_24_10 = e24 & op2(e23, e21) = e24
% 241.88/47.66  | | | 
% 241.88/47.66  | | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1321.
% 241.88/47.66  | | | 
% 241.88/47.66  | | Case 2:
% 241.88/47.66  | | | 
% 241.88/47.66  | | |   (10)  all_24_17 = e24 & op2(e23, e20) = e24
% 241.88/47.66  | | | 
% 241.88/47.66  | | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #902.
% 241.88/47.66  | | | 
% 241.88/47.66  | | End of split
% 241.88/47.66  | | 
% 241.88/47.66  | End of split
% 241.88/47.66  | 
% 241.88/47.66  End of proof
% 241.88/47.66  
% 241.88/47.67  Sub-proof #227 shows that the following formulas are inconsistent:
% 241.88/47.67  ----------------------------------------------------------------
% 241.88/47.67    (1)  all_24_17 = e20
% 241.88/47.67    (2)   ~ (e24 = e20)
% 241.88/47.67    (3)  all_24_3 = e22
% 241.88/47.67    (4)   ~ (e23 = e21)
% 241.88/47.67    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.88/47.67           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.88/47.67           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.88/47.67    (6)   ~ (e23 = e22)
% 241.88/47.67    (7)   ~ (e23 = e20)
% 241.88/47.67    (8)   ~ (e24 = e21)
% 241.88/47.67    (9)   ~ (e22 = e21)
% 241.88/47.67    (10)   ~ (e21 = e20)
% 241.88/47.67    (11)   ~ (e24 = e22)
% 241.88/47.67    (12)   ~ (e24 = e23)
% 241.88/47.67    (13)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.88/47.67            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.88/47.67            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.88/47.67    (14)  all_24_5 = e20
% 241.88/47.67    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.88/47.67            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.88/47.67            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.88/47.67  
% 241.88/47.67  Begin of proof
% 241.88/47.67  | 
% 241.88/47.67  | BETA: splitting (15) gives:
% 241.88/47.67  | 
% 241.88/47.67  | Case 1:
% 241.88/47.67  | | 
% 241.88/47.67  | |   (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 241.88/47.67  | |             e23) = e23)
% 241.88/47.67  | | 
% 241.88/47.67  | | BETA: splitting (16) gives:
% 241.88/47.67  | | 
% 241.88/47.67  | | Case 1:
% 241.88/47.67  | | | 
% 241.88/47.67  | | |   (17)  all_24_2 = e23 & op2(e23, e24) = e23
% 241.88/47.67  | | | 
% 241.88/47.67  | | | ALPHA: (17) implies:
% 241.88/47.67  | | |   (18)  all_24_2 = e23
% 241.88/47.67  | | | 
% 241.88/47.67  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13),
% 241.88/47.67  | | |            (14), (18) are inconsistent by sub-proof #231.
% 241.88/47.67  | | | 
% 241.88/47.67  | | Case 2:
% 241.88/47.67  | | | 
% 241.88/47.67  | | |   (19)  all_24_3 = e23 & op2(e23, e23) = e23
% 241.88/47.67  | | | 
% 241.88/47.67  | | | REF_CLOSE: (3), (6), (19) are inconsistent by sub-proof #230.
% 241.88/47.67  | | | 
% 241.88/47.67  | | End of split
% 241.88/47.67  | | 
% 241.88/47.67  | Case 2:
% 241.88/47.67  | | 
% 241.88/47.67  | |   (20)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 241.88/47.67  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.88/47.67  | | 
% 241.88/47.67  | | BETA: splitting (20) gives:
% 241.88/47.67  | | 
% 241.88/47.67  | | Case 1:
% 241.88/47.67  | | | 
% 241.88/47.67  | | |   (21)  all_24_5 = e23 & op2(e23, e22) = e23
% 241.88/47.67  | | | 
% 241.88/47.67  | | | REF_CLOSE: (7), (14), (21) are inconsistent by sub-proof #897.
% 241.88/47.67  | | | 
% 241.88/47.67  | | Case 2:
% 241.88/47.67  | | | 
% 241.88/47.67  | | |   (22)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 241.88/47.67  | | |           op2(e23, e20) = e23)
% 241.88/47.67  | | | 
% 241.88/47.67  | | | BETA: splitting (22) gives:
% 241.88/47.67  | | | 
% 241.88/47.67  | | | Case 1:
% 241.88/47.67  | | | | 
% 241.88/47.67  | | | |   (23)  all_24_10 = e23 & op2(e23, e21) = e23
% 241.88/47.67  | | | | 
% 241.88/47.67  | | | | ALPHA: (23) implies:
% 241.88/47.67  | | | |   (24)  all_24_10 = e23
% 241.88/47.67  | | | | 
% 241.88/47.67  | | | | BETA: splitting (5) gives:
% 241.88/47.67  | | | | 
% 241.88/47.67  | | | | Case 1:
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | |   (25)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 &
% 241.88/47.67  | | | | |           op2(e23, e23) = e21)
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | | BETA: splitting (25) gives:
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | | Case 1:
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | |   (26)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | | ALPHA: (26) implies:
% 241.88/47.67  | | | | | |   (27)  all_24_2 = e21
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | | REF_CLOSE: (1), (2), (3), (8), (11), (12), (13), (14), (24), (27)
% 241.88/47.67  | | | | | |            are inconsistent by sub-proof #228.
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | Case 2:
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | |   (28)  all_24_3 = e21 & op2(e23, e23) = e21
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | | REF_CLOSE: (3), (9), (28) are inconsistent by sub-proof #234.
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | End of split
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | Case 2:
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | |   (29)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.88/47.67  | | | | |           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) =
% 241.88/47.67  | | | | |           e21)
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | | BETA: splitting (29) gives:
% 241.88/47.67  | | | | | 
% 241.88/47.67  | | | | | Case 1:
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | |   (30)  all_24_5 = e21 & op2(e23, e22) = e21
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | | REF_CLOSE: (10), (14), (30) are inconsistent by sub-proof #905.
% 241.88/47.67  | | | | | | 
% 241.88/47.67  | | | | | Case 2:
% 241.88/47.67  | | | | | | 
% 241.90/47.67  | | | | | |   (31)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 241.90/47.67  | | | | | |           op2(e23, e20) = e21)
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | REF_CLOSE: (1), (4), (10), (24), (31) are inconsistent by sub-proof
% 241.90/47.67  | | | | | |            #893.
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | End of split
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | End of split
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | Case 2:
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | |   (32)  all_24_17 = e23 & op2(e23, e20) = e23
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | | REF_CLOSE: (1), (7), (32) are inconsistent by sub-proof #892.
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | End of split
% 241.90/47.67  | | | 
% 241.90/47.67  | | End of split
% 241.90/47.67  | | 
% 241.90/47.67  | End of split
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #228 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_17 = e20
% 241.90/47.67    (2)   ~ (e24 = e20)
% 241.90/47.67    (3)  all_24_3 = e22
% 241.90/47.67    (4)  all_24_2 = e21
% 241.90/47.67    (5)   ~ (e24 = e21)
% 241.90/47.67    (6)   ~ (e24 = e22)
% 241.90/47.67    (7)   ~ (e24 = e23)
% 241.90/47.67    (8)  all_24_10 = e23
% 241.90/47.67    (9)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.67           = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.67           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.67    (10)  all_24_5 = e20
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | BETA: splitting (9) gives:
% 241.90/47.67  | 
% 241.90/47.67  | Case 1:
% 241.90/47.67  | | 
% 241.90/47.67  | |   (11)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 241.90/47.67  | |             e23) = e24)
% 241.90/47.67  | | 
% 241.90/47.67  | | BETA: splitting (11) gives:
% 241.90/47.67  | | 
% 241.90/47.67  | | Case 1:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (12)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.90/47.67  | | | 
% 241.90/47.67  | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #229.
% 241.90/47.67  | | | 
% 241.90/47.67  | | Case 2:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (13)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.90/47.67  | | | 
% 241.90/47.67  | | | REF_CLOSE: (3), (6), (13) are inconsistent by sub-proof #232.
% 241.90/47.67  | | | 
% 241.90/47.67  | | End of split
% 241.90/47.67  | | 
% 241.90/47.67  | Case 2:
% 241.90/47.67  | | 
% 241.90/47.67  | |   (14)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23,
% 241.90/47.67  | |             e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.67  | | 
% 241.90/47.67  | | REF_CLOSE: (1), (2), (7), (8), (10), (14) are inconsistent by sub-proof
% 241.90/47.67  | |            #895.
% 241.90/47.67  | | 
% 241.90/47.67  | End of split
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #229 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.90/47.67    (2)  all_24_2 = e21
% 241.90/47.67    (3)   ~ (e24 = e21)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_2 = e24
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e24 = e21
% 241.90/47.67  | 
% 241.90/47.67  | SIMP: (5) implies:
% 241.90/47.67  |   (6)  e24 = e21
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (6) imply:
% 241.90/47.67  |   (7)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (7) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #230 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_3 = e23 & op2(e23, e23) = e23
% 241.90/47.67    (2)  all_24_3 = e22
% 241.90/47.67    (3)   ~ (e23 = e22)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_3 = e23
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e23 = e22
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (5) imply:
% 241.90/47.67  |   (6)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (6) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #231 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_17 = e20
% 241.90/47.67    (2)   ~ (e24 = e20)
% 241.90/47.67    (3)  all_24_2 = e23
% 241.90/47.67    (4)  all_24_3 = e22
% 241.90/47.67    (5)   ~ (e23 = e21)
% 241.90/47.67    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.67           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.67           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.67    (7)   ~ (e24 = e21)
% 241.90/47.67    (8)   ~ (e22 = e21)
% 241.90/47.67    (9)   ~ (e21 = e20)
% 241.90/47.67    (10)   ~ (e24 = e22)
% 241.90/47.67    (11)   ~ (e24 = e23)
% 241.90/47.67    (12)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.67            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.67            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.67    (13)  all_24_5 = e20
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | BETA: splitting (6) gives:
% 241.90/47.67  | 
% 241.90/47.67  | Case 1:
% 241.90/47.67  | | 
% 241.90/47.67  | |   (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 241.90/47.67  | |             e23) = e21)
% 241.90/47.67  | | 
% 241.90/47.67  | | BETA: splitting (14) gives:
% 241.90/47.67  | | 
% 241.90/47.67  | | Case 1:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (15)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.90/47.67  | | | 
% 241.90/47.67  | | | REF_CLOSE: (3), (5), (15) are inconsistent by sub-proof #235.
% 241.90/47.67  | | | 
% 241.90/47.67  | | Case 2:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (16)  all_24_3 = e21 & op2(e23, e23) = e21
% 241.90/47.67  | | | 
% 241.90/47.67  | | | REF_CLOSE: (4), (8), (16) are inconsistent by sub-proof #234.
% 241.90/47.67  | | | 
% 241.90/47.67  | | End of split
% 241.90/47.67  | | 
% 241.90/47.67  | Case 2:
% 241.90/47.67  | | 
% 241.90/47.67  | |   (17)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23,
% 241.90/47.67  | |             e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.67  | | 
% 241.90/47.67  | | BETA: splitting (17) gives:
% 241.90/47.67  | | 
% 241.90/47.67  | | Case 1:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (18)  all_24_5 = e21 & op2(e23, e22) = e21
% 241.90/47.67  | | | 
% 241.90/47.67  | | | REF_CLOSE: (9), (13), (18) are inconsistent by sub-proof #905.
% 241.90/47.67  | | | 
% 241.90/47.67  | | Case 2:
% 241.90/47.67  | | | 
% 241.90/47.67  | | |   (19)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 241.90/47.67  | | |           op2(e23, e20) = e21)
% 241.90/47.67  | | | 
% 241.90/47.67  | | | BETA: splitting (19) gives:
% 241.90/47.67  | | | 
% 241.90/47.67  | | | Case 1:
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | |   (20)  all_24_10 = e21 & op2(e23, e21) = e21
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | | ALPHA: (20) implies:
% 241.90/47.67  | | | |   (21)  all_24_10 = e21
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | | BETA: splitting (12) gives:
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | | Case 1:
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | |   (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 241.90/47.67  | | | | |           op2(e23, e23) = e24)
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | | BETA: splitting (22) gives:
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | | Case 1:
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | |   (23)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | REF_CLOSE: (3), (11), (23) are inconsistent by sub-proof #233.
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | Case 2:
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | |   (24)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | REF_CLOSE: (4), (10), (24) are inconsistent by sub-proof #232.
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | End of split
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | Case 2:
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | |   (25)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.67  | | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) =
% 241.90/47.67  | | | | |           e24)
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | | BETA: splitting (25) gives:
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | | Case 1:
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | |   (26)  all_24_5 = e24 & op2(e23, e22) = e24
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | REF_CLOSE: (2), (13), (26) are inconsistent by sub-proof #1322.
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | Case 2:
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | |   (27)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 241.90/47.67  | | | | | |           op2(e23, e20) = e24)
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | BETA: splitting (27) gives:
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | | Case 1:
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | |   (28)  all_24_10 = e24 & op2(e23, e21) = e24
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | | REF_CLOSE: (7), (21), (28) are inconsistent by sub-proof #1310.
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | Case 2:
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | |   (29)  all_24_17 = e24 & op2(e23, e20) = e24
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | | REF_CLOSE: (1), (2), (29) are inconsistent by sub-proof #902.
% 241.90/47.67  | | | | | | | 
% 241.90/47.67  | | | | | | End of split
% 241.90/47.67  | | | | | | 
% 241.90/47.67  | | | | | End of split
% 241.90/47.67  | | | | | 
% 241.90/47.67  | | | | End of split
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | Case 2:
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | |   (30)  all_24_17 = e21 & op2(e23, e20) = e21
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | | REF_CLOSE: (1), (9), (30) are inconsistent by sub-proof #900.
% 241.90/47.67  | | | | 
% 241.90/47.67  | | | End of split
% 241.90/47.67  | | | 
% 241.90/47.67  | | End of split
% 241.90/47.67  | | 
% 241.90/47.67  | End of split
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #232 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.90/47.67    (2)  all_24_3 = e22
% 241.90/47.67    (3)   ~ (e24 = e22)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_3 = e24
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e24 = e22
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (5) imply:
% 241.90/47.67  |   (6)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (6) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #233 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 241.90/47.67    (2)  all_24_2 = e23
% 241.90/47.67    (3)   ~ (e24 = e23)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_2 = e24
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e24 = e23
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (5) imply:
% 241.90/47.67  |   (6)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (6) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #234 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_3 = e21 & op2(e23, e23) = e21
% 241.90/47.67    (2)  all_24_3 = e22
% 241.90/47.67    (3)   ~ (e22 = e21)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_3 = e21
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e22 = e21
% 241.90/47.67  | 
% 241.90/47.67  | SIMP: (5) implies:
% 241.90/47.67  |   (6)  e22 = e21
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (6) imply:
% 241.90/47.67  |   (7)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (7) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #235 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  all_24_2 = e21 & op2(e23, e24) = e21
% 241.90/47.67    (2)  all_24_2 = e23
% 241.90/47.67    (3)   ~ (e23 = e21)
% 241.90/47.67  
% 241.90/47.67  Begin of proof
% 241.90/47.67  | 
% 241.90/47.67  | ALPHA: (1) implies:
% 241.90/47.67  |   (4)  all_24_2 = e21
% 241.90/47.67  | 
% 241.90/47.67  | COMBINE_EQS: (2), (4) imply:
% 241.90/47.67  |   (5)  e23 = e21
% 241.90/47.67  | 
% 241.90/47.67  | SIMP: (5) implies:
% 241.90/47.67  |   (6)  e23 = e21
% 241.90/47.67  | 
% 241.90/47.67  | REDUCE: (3), (6) imply:
% 241.90/47.67  |   (7)  $false
% 241.90/47.67  | 
% 241.90/47.67  | CLOSE: (7) is inconsistent.
% 241.90/47.67  | 
% 241.90/47.67  End of proof
% 241.90/47.67  
% 241.90/47.67  Sub-proof #236 shows that the following formulas are inconsistent:
% 241.90/47.67  ----------------------------------------------------------------
% 241.90/47.67    (1)  op1(e11, e10) = all_14_23
% 241.90/47.67    (2)   ~ (e14 = e10)
% 241.90/47.67    (3)  all_25_2 = e12
% 241.90/47.67    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.90/47.67           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.90/47.67           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.90/47.67    (5)  all_25_1 = e12
% 241.90/47.67    (6)  all_25_6 = e11
% 241.90/47.67    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.90/47.67           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.90/47.67           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.90/47.67    (8)   ~ (e12 = e11)
% 241.90/47.67    (9)   ~ (e14 = e11)
% 241.90/47.67    (10)  all_25_3 = e11
% 241.90/47.68    (11)  op1(e10, e13) = e13
% 241.90/47.68    (12)   ~ (e13 = e10)
% 241.90/47.68    (13)  op1(e11, e12) = all_14_13
% 241.90/47.68    (14)   ~ (e14 = e13)
% 241.90/47.68    (15)  op1(e13, e11) = e14
% 241.90/47.68    (16)   ~ (all_14_23 = e13)
% 241.90/47.68    (17)  all_25_21 = e13
% 241.90/47.68    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.68            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.90/47.68    (19)   ~ (e13 = e11)
% 241.90/47.68    (20)  op1(e13, e12) = e10
% 241.90/47.68    (21)   ~ (e11 = e10)
% 241.90/47.68    (22)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 241.90/47.68            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 241.90/47.68            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.90/47.68    (23)   ~ (e13 = e12)
% 241.90/47.68    (24)  op1(e13, e13) = e11
% 241.90/47.68    (25)   ~ (all_14_13 = e13)
% 241.90/47.68    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.90/47.68              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.90/47.68            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.90/47.68    (27)   ~ (e12 = e10)
% 241.90/47.68    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.90/47.68            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.90/47.68            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.90/47.68    (29)  all_25_0 = e10
% 241.90/47.68    (30)  all_25_20 = e13
% 241.90/47.68    (31)  op1(e11, e11) = all_14_18
% 241.90/47.68    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.90/47.68            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.90/47.68            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.90/47.68    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.90/47.68            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.90/47.68            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.90/47.68    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.90/47.68            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.90/47.68            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.90/47.68    (35)   ~ (e14 = e12)
% 241.90/47.68    (36)   ~ (all_14_18 = e13)
% 241.90/47.68    (37)  all_25_17 = e13
% 241.90/47.68  
% 241.90/47.68  Begin of proof
% 241.90/47.68  | 
% 241.90/47.68  | BETA: splitting (22) gives:
% 241.90/47.68  | 
% 241.90/47.68  | Case 1:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (38)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 241.90/47.68  | |             e14) = e14)
% 241.90/47.68  | | 
% 241.90/47.68  | | BETA: splitting (38) gives:
% 241.90/47.68  | | 
% 241.90/47.68  | | Case 1:
% 241.90/47.68  | | | 
% 241.90/47.68  | | |   (39)  all_25_0 = e14 & op1(e14, e14) = e14
% 241.90/47.68  | | | 
% 241.90/47.68  | | | REF_CLOSE: (2), (29), (39) are inconsistent by sub-proof #1220.
% 241.90/47.68  | | | 
% 241.90/47.68  | | Case 2:
% 241.90/47.68  | | | 
% 241.90/47.68  | | |   (40)  all_25_2 = e14 & op1(e13, e14) = e14
% 241.90/47.68  | | | 
% 241.90/47.68  | | | REF_CLOSE: (4), (8), (12), (14), (15), (18), (19), (20), (23), (24), (27),
% 241.90/47.68  | | |            (28), (35), (40) are inconsistent by sub-proof #1185.
% 241.90/47.68  | | | 
% 241.90/47.68  | | End of split
% 241.90/47.68  | | 
% 241.90/47.68  | Case 2:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (41)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 & op1(e11,
% 241.90/47.68  | |             e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 241.90/47.68  | | 
% 241.90/47.68  | | BETA: splitting (41) gives:
% 241.90/47.68  | | 
% 241.90/47.68  | | Case 1:
% 241.90/47.68  | | | 
% 241.90/47.68  | | |   (42)  all_25_6 = e14 & op1(e12, e14) = e14
% 241.90/47.68  | | | 
% 241.90/47.68  | | | REF_CLOSE: (6), (9), (42) are inconsistent by sub-proof #1007.
% 241.90/47.68  | | | 
% 241.90/47.68  | | Case 2:
% 241.90/47.68  | | | 
% 241.90/47.68  | | |   (43)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 241.90/47.68  | | |           op1(e10, e14) = e14)
% 241.90/47.68  | | | 
% 241.90/47.68  | | | BETA: splitting (43) gives:
% 241.90/47.68  | | | 
% 241.90/47.68  | | | Case 1:
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | |   (44)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12),
% 241.90/47.68  | | | |            (13), (14), (16), (17), (18), (19), (20), (21), (23), (24),
% 241.90/47.68  | | | |            (25), (26), (27), (28), (31), (32), (33), (34), (35), (36),
% 241.90/47.68  | | | |            (37), (44) are inconsistent by sub-proof #931.
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | Case 2:
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | |   (45)  all_25_20 = e14 & op1(e10, e14) = e14
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | | REF_CLOSE: (14), (30), (45) are inconsistent by sub-proof #1032.
% 241.90/47.68  | | | | 
% 241.90/47.68  | | | End of split
% 241.90/47.68  | | | 
% 241.90/47.68  | | End of split
% 241.90/47.68  | | 
% 241.90/47.68  | End of split
% 241.90/47.68  | 
% 241.90/47.68  End of proof
% 241.90/47.68  
% 241.90/47.68  Sub-proof #237 shows that the following formulas are inconsistent:
% 241.90/47.68  ----------------------------------------------------------------
% 241.90/47.68    (1)  op1(e11, e10) = all_14_23
% 241.90/47.68    (2)   ~ (e14 = e10)
% 241.90/47.68    (3)  all_25_2 = e12
% 241.90/47.68    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 241.90/47.68           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 241.90/47.68           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 241.90/47.68    (5)  all_25_1 = e12
% 241.90/47.68    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 241.90/47.68           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 241.90/47.68           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 241.90/47.68    (7)   ~ (e12 = e11)
% 241.90/47.68    (8)   ~ (e14 = e11)
% 241.90/47.68    (9)  all_25_3 = e11
% 241.90/47.68    (10)  op1(e10, e13) = e13
% 241.90/47.68    (11)   ~ (e13 = e10)
% 241.90/47.68    (12)  op1(e11, e12) = all_14_13
% 241.90/47.68    (13)   ~ (e14 = e13)
% 241.90/47.68    (14)   ~ (all_14_23 = e13)
% 241.90/47.68    (15)  all_25_21 = e13
% 241.90/47.68    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.68            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 241.90/47.68    (17)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 241.90/47.68              e13) = e14)
% 241.90/47.68    (18)  all_25_13 = e10
% 241.90/47.68    (19)   ~ (e13 = e11)
% 241.90/47.68    (20)  op1(e13, e12) = e10
% 241.90/47.68    (21)   ~ (e11 = e10)
% 241.90/47.68    (22)   ~ (e13 = e12)
% 241.90/47.68    (23)  op1(e13, e13) = e11
% 241.90/47.68    (24)   ~ (all_14_13 = e13)
% 241.90/47.68    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 241.90/47.68              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 241.90/47.68            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 241.90/47.68    (26)   ~ (e12 = e10)
% 241.90/47.68    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 241.90/47.68            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 241.90/47.68            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 241.90/47.68    (28)  op1(e11, e11) = all_14_18
% 241.90/47.68    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 241.90/47.68            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 241.90/47.68            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 241.90/47.68    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.90/47.68            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 241.90/47.68            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 241.90/47.68    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 241.90/47.68            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 241.90/47.68            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 241.90/47.68    (32)   ~ (e14 = e12)
% 241.90/47.68    (33)   ~ (all_14_18 = e13)
% 241.90/47.68    (34)  all_25_17 = e13
% 241.90/47.68  
% 241.90/47.68  Begin of proof
% 241.90/47.68  | 
% 241.90/47.68  | BETA: splitting (17) gives:
% 241.90/47.68  | 
% 241.90/47.68  | Case 1:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (35)  all_25_12 = e14 & op1(e11, e14) = e14
% 241.90/47.68  | | 
% 241.90/47.68  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 241.90/47.68  | |            (13), (14), (15), (16), (19), (20), (21), (22), (23), (24), (25),
% 241.90/47.68  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35) are
% 241.90/47.68  | |            inconsistent by sub-proof #931.
% 241.90/47.68  | | 
% 241.90/47.68  | Case 2:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (36)  all_25_13 = e14 & op1(e11, e13) = e14
% 241.90/47.68  | | 
% 241.90/47.68  | | ALPHA: (36) implies:
% 241.90/47.68  | |   (37)  all_25_13 = e14
% 241.90/47.68  | | 
% 241.90/47.68  | | REF_CLOSE: (2), (18), (37) are inconsistent by sub-proof #1275.
% 241.90/47.68  | | 
% 241.90/47.68  | End of split
% 241.90/47.68  | 
% 241.90/47.68  End of proof
% 241.90/47.68  
% 241.90/47.68  Sub-proof #238 shows that the following formulas are inconsistent:
% 241.90/47.68  ----------------------------------------------------------------
% 241.90/47.68    (1)  all_24_0 = e23
% 241.90/47.68    (2)   ~ (e24 = e20)
% 241.90/47.68    (3)   ~ (e23 = e21)
% 241.90/47.68    (4)  op2(e23, e21) = e24
% 241.90/47.68    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.68           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.68           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.68    (6)  op2(e23, e23) = e21
% 241.90/47.68    (7)  all_24_2 = e22
% 241.90/47.68    (8)   ~ (e23 = e22)
% 241.90/47.68    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.68           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.68    (10)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 241.90/47.68            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 241.90/47.68            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 241.90/47.68    (11)   ~ (e23 = e20)
% 241.90/47.68    (12)  op2(e24, e23) = e22
% 241.90/47.68    (13)   ~ (e24 = e21)
% 241.90/47.68    (14)   ~ (e22 = e21)
% 241.90/47.68    (15)  op2(e23, e22) = e20
% 241.90/47.68    (16)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.90/47.68              e20) = e20)
% 241.90/47.68    (17)   ~ (e21 = e20)
% 241.90/47.68    (18)  all_24_9 = e20
% 241.90/47.68    (19)   ~ (e24 = e22)
% 241.90/47.68    (20)  all_24_17 = e23
% 241.90/47.68    (21)   ~ (e24 = e23)
% 241.90/47.68    (22)  op2(e23, e21) = all_10_1
% 241.90/47.68    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.68            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.68            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.68    (24)  all_24_4 = e24
% 241.90/47.68    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.68            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.68            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.68  
% 241.90/47.68  Begin of proof
% 241.90/47.68  | 
% 241.90/47.68  | BETA: splitting (16) gives:
% 241.90/47.68  | 
% 241.90/47.68  | Case 1:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (26)  all_24_16 = e20 & op2(e24, e20) = e20
% 241.90/47.68  | | 
% 241.90/47.68  | | ALPHA: (26) implies:
% 241.90/47.68  | |   (27)  all_24_16 = e20
% 241.90/47.68  | | 
% 241.90/47.68  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.90/47.68  | |            (15), (17), (18), (19), (20), (21), (22), (23), (24), (25), (27)
% 241.90/47.68  | |            are inconsistent by sub-proof #495.
% 241.90/47.68  | | 
% 241.90/47.68  | Case 2:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (28)  all_24_17 = e20 & op2(e23, e20) = e20
% 241.90/47.68  | | 
% 241.90/47.68  | | ALPHA: (28) implies:
% 241.90/47.68  | |   (29)  all_24_17 = e20
% 241.90/47.68  | | 
% 241.90/47.68  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14), (15),
% 241.90/47.68  | |            (17), (19), (21), (22), (23), (25), (29) are inconsistent by
% 241.90/47.68  | |            sub-proof #888.
% 241.90/47.68  | | 
% 241.90/47.68  | End of split
% 241.90/47.68  | 
% 241.90/47.68  End of proof
% 241.90/47.68  
% 241.90/47.68  Sub-proof #239 shows that the following formulas are inconsistent:
% 241.90/47.68  ----------------------------------------------------------------
% 241.90/47.68    (1)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 & op2(e22, e21)
% 241.90/47.68           = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 241.90/47.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.68           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.68    (3)   ~ (all_16_17 = e24)
% 241.90/47.68    (4)   ~ (all_4_2 = e24)
% 241.90/47.68    (5)  op2(e22, e21) = all_16_17
% 241.90/47.68    (6)   ~ (e24 = e22)
% 241.90/47.68    (7)  all_24_18 = e22
% 241.90/47.68    (8)  op2(e22, e22) = all_4_2
% 241.90/47.68  
% 241.90/47.68  Begin of proof
% 241.90/47.68  | 
% 241.90/47.68  | BETA: splitting (1) gives:
% 241.90/47.68  | 
% 241.90/47.68  | Case 1:
% 241.90/47.68  | | 
% 241.90/47.68  | |   (9)  all_24_8 = e24 & op2(e22, e22) = e24
% 241.90/47.68  | | 
% 241.90/47.68  | | REF_CLOSE: (2), (4), (8), (9) are inconsistent by sub-proof #705.
% 241.90/47.68  | | 
% 241.90/47.69  | Case 2:
% 241.90/47.69  | | 
% 241.90/47.69  | |   (10)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 = e24 &
% 241.90/47.69  | |           op2(e22, e20) = e24)
% 241.90/47.69  | | 
% 241.90/47.69  | | BETA: splitting (10) gives:
% 241.90/47.69  | | 
% 241.90/47.69  | | Case 1:
% 241.90/47.69  | | | 
% 241.90/47.69  | | |   (11)  all_24_11 = e24 & op2(e22, e21) = e24
% 241.90/47.69  | | | 
% 241.90/47.69  | | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #829.
% 241.90/47.69  | | | 
% 241.90/47.69  | | Case 2:
% 241.90/47.69  | | | 
% 241.90/47.69  | | |   (12)  all_24_18 = e24 & op2(e22, e20) = e24
% 241.90/47.69  | | | 
% 241.90/47.69  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #802.
% 241.90/47.69  | | | 
% 241.90/47.69  | | End of split
% 241.90/47.69  | | 
% 241.90/47.69  | End of split
% 241.90/47.69  | 
% 241.90/47.69  End of proof
% 241.90/47.69  
% 241.90/47.69  Sub-proof #240 shows that the following formulas are inconsistent:
% 241.90/47.69  ----------------------------------------------------------------
% 241.90/47.69    (1)  all_24_0 = e23
% 241.90/47.69    (2)   ~ (all_16_15 = e24)
% 241.90/47.69    (3)   ~ (e24 = e20)
% 241.90/47.69    (4)  all_24_6 = e20
% 241.90/47.69    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.69           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.69    (6)   ~ (e24 = e21)
% 241.90/47.69    (7)  all_24_6 = e24 & op2(e22, e24) = e24
% 241.90/47.69    (8)  all_24_1 = e22
% 241.90/47.69    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.90/47.69           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 241.90/47.69           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 241.90/47.69    (10)  op2(e24, e21) = all_16_15
% 241.90/47.69    (11)   ~ (e24 = e22)
% 241.90/47.69    (12)   ~ (e24 = e23)
% 241.90/47.69    (13)  all_24_16 = e21
% 241.90/47.69    (14)  all_24_4 = e24
% 241.90/47.69  
% 241.90/47.69  Begin of proof
% 241.90/47.69  | 
% 241.90/47.69  | ALPHA: (7) implies:
% 241.90/47.69  |   (15)  all_24_6 = e24
% 241.90/47.69  | 
% 241.90/47.69  | COMBINE_EQS: (4), (15) imply:
% 241.90/47.69  |   (16)  e24 = e20
% 241.90/47.69  | 
% 241.90/47.69  | COMBINE_EQS: (14), (16) imply:
% 241.90/47.69  |   (17)  all_24_4 = e20
% 241.90/47.69  | 
% 241.90/47.69  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (11), (12), (13), (17) are
% 241.90/47.69  |            inconsistent by sub-proof #504.
% 241.90/47.69  | 
% 241.90/47.69  End of proof
% 241.90/47.69  
% 241.90/47.69  Sub-proof #241 shows that the following formulas are inconsistent:
% 241.90/47.69  ----------------------------------------------------------------
% 241.90/47.69    (1)  all_24_0 = e23
% 241.90/47.69    (2)  all_24_6 = e21 & op2(e22, e24) = e21
% 241.90/47.69    (3)   ~ (e23 = e21)
% 241.90/47.69    (4)  op2(e23, e21) = e24
% 241.90/47.69    (5)  op2(e23, e23) = e21
% 241.90/47.69    (6)  all_24_2 = e22
% 241.90/47.69    (7)   ~ (e23 = e22)
% 241.90/47.69    (8)  all_24_6 = e20
% 241.90/47.69    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.69           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.69    (10)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 241.90/47.69            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 241.90/47.69            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 241.90/47.69    (11)   ~ (e23 = e20)
% 241.90/47.69    (12)  op2(e24, e23) = e22
% 241.90/47.69    (13)   ~ (e24 = e21)
% 241.90/47.69    (14)   ~ (e22 = e21)
% 241.90/47.69    (15)  op2(e23, e22) = e20
% 241.90/47.69    (16)   ~ (e21 = e20)
% 241.90/47.69    (17)  all_24_9 = e20
% 241.90/47.69    (18)   ~ (e24 = e22)
% 241.90/47.69    (19)  all_24_17 = e23
% 241.90/47.69    (20)   ~ (e24 = e23)
% 241.90/47.69    (21)  op2(e23, e21) = all_10_1
% 241.90/47.69    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.69            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.69            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.69    (23)  all_24_16 = e21
% 241.90/47.69    (24)  all_24_4 = e24
% 241.90/47.69    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.69            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.69            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.69  
% 241.90/47.69  Begin of proof
% 241.90/47.69  | 
% 241.90/47.69  | ALPHA: (2) implies:
% 241.90/47.69  |   (26)  all_24_6 = e21
% 241.90/47.69  | 
% 241.90/47.69  | COMBINE_EQS: (8), (26) imply:
% 241.90/47.69  |   (27)  e21 = e20
% 241.90/47.69  | 
% 241.90/47.69  | COMBINE_EQS: (23), (27) imply:
% 241.90/47.69  |   (28)  all_24_16 = e20
% 241.90/47.69  | 
% 241.90/47.69  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 241.90/47.69  |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25), (28)
% 241.90/47.69  |            are inconsistent by sub-proof #495.
% 241.90/47.69  | 
% 241.90/47.69  End of proof
% 241.90/47.69  
% 241.90/47.69  Sub-proof #242 shows that the following formulas are inconsistent:
% 241.90/47.69  ----------------------------------------------------------------
% 241.90/47.69    (1)   ~ (e24 = e20)
% 241.90/47.69    (2)   ~ (e23 = e21)
% 241.90/47.69    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.69             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.69           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.69    (4)  op2(e23, e23) = e21
% 241.90/47.69    (5)   ~ (e23 = e22)
% 241.90/47.69    (6)  op2(e21, e23) = all_16_8
% 241.90/47.69    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.69           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.69    (8)   ~ (all_16_7 = e23)
% 241.90/47.69    (9)  op2(e24, e23) = e22
% 241.90/47.69    (10)   ~ (e24 = e21)
% 241.90/47.69    (11)  all_24_1 = e22
% 241.90/47.69    (12)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.69            = e24)
% 241.90/47.69    (13)   ~ (all_16_8 = e23)
% 241.90/47.69    (14)  op2(e22, e23) = all_16_7
% 241.90/47.69    (15)   ~ (all_16_19 = e24)
% 241.90/47.69    (16)   ~ (e24 = e22)
% 241.90/47.69    (17)   ~ (e24 = e23)
% 241.90/47.69    (18)  all_24_20 = e20
% 241.90/47.69    (19)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.69            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.90/47.69            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.90/47.69    (20)  op2(e20, e21) = all_16_19
% 241.90/47.69    (21)  all_24_24 = e24
% 241.90/47.69    (22)  all_24_22 = e22
% 241.90/47.69    (23)  all_24_3 = e21
% 241.90/47.69  
% 241.90/47.69  Begin of proof
% 241.90/47.69  | 
% 241.90/47.69  | BETA: splitting (12) gives:
% 241.90/47.69  | 
% 241.90/47.69  | Case 1:
% 241.90/47.69  | | 
% 241.90/47.69  | |   (24)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.90/47.69  | | 
% 241.90/47.69  | | REF_CLOSE: (11), (16), (24) are inconsistent by sub-proof #870.
% 241.90/47.69  | | 
% 241.90/47.69  | Case 2:
% 241.90/47.69  | | 
% 241.90/47.69  | |   (25)  all_24_3 = e24 & op2(e23, e23) = e24
% 241.90/47.69  | | 
% 241.90/47.69  | | ALPHA: (25) implies:
% 241.90/47.69  | |   (26)  all_24_3 = e24
% 241.90/47.69  | | 
% 241.90/47.69  | | COMBINE_EQS: (23), (26) imply:
% 241.90/47.69  | |   (27)  e24 = e21
% 241.90/47.69  | | 
% 241.90/47.69  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14),
% 241.90/47.69  | |            (15), (16), (17), (18), (19), (20), (21), (22), (27) are
% 241.90/47.69  | |            inconsistent by sub-proof #245.
% 241.90/47.69  | | 
% 241.90/47.69  | End of split
% 241.90/47.69  | 
% 241.90/47.69  End of proof
% 241.90/47.69  
% 241.90/47.69  Sub-proof #243 shows that the following formulas are inconsistent:
% 241.90/47.69  ----------------------------------------------------------------
% 241.90/47.69    (1)  all_24_23 = e21
% 241.90/47.69    (2)  all_24_0 = e23
% 241.90/47.69    (3)   ~ (all_16_15 = e24)
% 241.90/47.69    (4)  op2(e23, unit2) = e23
% 241.90/47.69    (5)  all_24_13 = e24 & op2(e21, e23) = e24
% 241.90/47.69    (6)  op2(e20, e24) = all_16_4
% 241.90/47.69    (7)   ~ (e24 = e20)
% 241.90/47.69    (8)   ~ (e23 = e21)
% 241.90/47.69    (9)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.69             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.69           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.69    (10)  op2(e23, e21) = e24
% 241.90/47.69    (11)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.69            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.69            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.69    (12)  all_24_14 = e23
% 241.90/47.69    (13)  op2(e23, e23) = e21
% 241.90/47.69    (14)  all_24_2 = e22
% 241.90/47.69    (15)   ~ (e23 = e22)
% 241.90/47.69    (16)   ~ (e22 = e20)
% 241.90/47.69    (17)  op2(e21, e23) = all_16_8
% 241.90/47.69    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.69            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.69    (19)  op2(e23, e24) = e22
% 241.90/47.69    (20)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 241.90/47.69            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 241.90/47.69            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 241.90/47.69    (21)   ~ (e23 = e20)
% 241.90/47.69    (22)   ~ (all_6_2 = e20)
% 241.90/47.69    (23)   ~ (all_16_7 = e23)
% 241.90/47.69    (24)  op2(e24, e23) = e22
% 241.90/47.69    (25)   ~ (e24 = e21)
% 241.90/47.69    (26)   ~ (e22 = e21)
% 241.90/47.69    (27)  op2(e23, e22) = e20
% 241.90/47.69    (28)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 241.90/47.69              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 241.90/47.69            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 241.90/47.69    (29)  all_24_1 = e22
% 241.90/47.69    (30)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.90/47.69            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 241.90/47.69            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 241.90/47.69    (31)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.90/47.69    (32)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.69            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.90/47.69            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.90/47.69    (33)   ~ (all_16_8 = e23)
% 241.90/47.69    (34)  op2(e22, e23) = all_16_7
% 241.90/47.69    (35)   ~ (all_16_19 = e24)
% 241.90/47.69    (36)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 241.90/47.69              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 241.90/47.69            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.90/47.69    (37)  op2(e21, e21) = all_6_2
% 241.90/47.69    (38)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.90/47.69            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.90/47.69            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.90/47.69    (39)   ~ (all_16_4 = e22)
% 241.90/47.69    (40)   ~ (e21 = e20)
% 241.90/47.69    (41)  all_24_12 = e21
% 241.90/47.69    (42)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 241.90/47.69            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 241.90/47.69            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 241.90/47.69    (43)  op2(e24, e21) = all_16_15
% 241.90/47.69    (44)  all_24_9 = e20
% 241.90/47.69    (45)   ~ (e24 = e22)
% 241.90/47.69    (46)  all_24_17 = e23
% 241.90/47.69    (47)   ~ (e24 = e23)
% 241.90/47.69    (48)  op2(e23, e21) = all_10_1
% 241.90/47.69    (49)  all_24_20 = e20
% 241.90/47.69    (50)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.69            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.90/47.69            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.90/47.69    (51)  op2(e21, unit2) = e21
% 241.90/47.69    (52)  op2(e20, e21) = all_16_19
% 241.90/47.69    (53)  all_24_8 = e21
% 241.90/47.69    (54)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.69            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.69            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.69    (55)  all_24_24 = e24
% 241.90/47.69    (56)  all_24_5 = e20
% 241.90/47.69    (57)  all_24_16 = e21
% 241.90/47.69    (58)  all_24_4 = e24
% 241.90/47.70    (59)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.90/47.70            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.90/47.70            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.90/47.70    (60)  all_24_22 = e22
% 241.90/47.70    (61)  all_24_3 = e21
% 241.90/47.70    (62)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.70            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.70            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.70  
% 241.90/47.70  Begin of proof
% 241.90/47.70  | 
% 241.90/47.70  | ALPHA: (5) implies:
% 241.90/47.70  |   (63)  all_24_13 = e24
% 241.90/47.70  | 
% 241.90/47.70  | BETA: splitting (36) gives:
% 241.90/47.70  | 
% 241.90/47.70  | Case 1:
% 241.90/47.70  | | 
% 241.90/47.70  | |   (64)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 241.90/47.70  | |           op2(e21, e23) = e20)
% 241.90/47.70  | | 
% 241.90/47.70  | | BETA: splitting (64) gives:
% 241.90/47.70  | | 
% 241.90/47.70  | | Case 1:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (65)  all_24_12 = e20 & op2(e21, e24) = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | ALPHA: (65) implies:
% 241.90/47.70  | | |   (66)  all_24_12 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (41), (66) imply:
% 241.90/47.70  | | |   (67)  e21 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | SIMP: (67) implies:
% 241.90/47.70  | | |   (68)  e21 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (53), (68) imply:
% 241.90/47.70  | | |   (69)  all_24_8 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 241.90/47.70  | | |            (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 241.90/47.70  | | |            (26), (27), (28), (29), (32), (33), (34), (35), (38), (39),
% 241.90/47.70  | | |            (40), (42), (44), (45), (46), (47), (48), (49), (50), (52),
% 241.90/47.70  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (69) are
% 241.90/47.70  | | |            inconsistent by sub-proof #244.
% 241.90/47.70  | | | 
% 241.90/47.70  | | Case 2:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (70)  all_24_13 = e20 & op2(e21, e23) = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | ALPHA: (70) implies:
% 241.90/47.70  | | |   (71)  all_24_13 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (63), (71) imply:
% 241.90/47.70  | | |   (72)  e24 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | REF_CLOSE: (2), (3), (7), (18), (25), (29), (30), (43), (45), (47), (57),
% 241.90/47.70  | | |            (58), (72) are inconsistent by sub-proof #254.
% 241.90/47.70  | | | 
% 241.90/47.70  | | End of split
% 241.90/47.70  | | 
% 241.90/47.70  | Case 2:
% 241.90/47.70  | | 
% 241.90/47.70  | |   (73)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 &
% 241.90/47.70  | |           op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.90/47.70  | | 
% 241.90/47.70  | | REF_CLOSE: (4), (7), (8), (10), (11), (12), (13), (14), (15), (18), (19),
% 241.90/47.70  | |            (21), (22), (25), (26), (27), (31), (37), (40), (45), (46), (47),
% 241.90/47.70  | |            (48), (51), (54), (62), (73) are inconsistent by sub-proof #249.
% 241.90/47.70  | | 
% 241.90/47.70  | End of split
% 241.90/47.70  | 
% 241.90/47.70  End of proof
% 241.90/47.70  
% 241.90/47.70  Sub-proof #244 shows that the following formulas are inconsistent:
% 241.90/47.70  ----------------------------------------------------------------
% 241.90/47.70    (1)  all_24_23 = e21
% 241.90/47.70    (2)  all_24_0 = e23
% 241.90/47.70    (3)  op2(e20, e24) = all_16_4
% 241.90/47.70    (4)   ~ (e24 = e20)
% 241.90/47.70    (5)   ~ (e23 = e21)
% 241.90/47.70    (6)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.70             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.70           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.70    (7)  op2(e23, e21) = e24
% 241.90/47.70    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.70           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.70           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.70    (9)  all_24_14 = e23
% 241.90/47.70    (10)  op2(e23, e23) = e21
% 241.90/47.70    (11)  all_24_2 = e22
% 241.90/47.70    (12)   ~ (e23 = e22)
% 241.90/47.70    (13)   ~ (e22 = e20)
% 241.90/47.70    (14)  op2(e21, e23) = all_16_8
% 241.90/47.70    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.70            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.70    (16)  op2(e23, e24) = e22
% 241.90/47.70    (17)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 241.90/47.70            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 241.90/47.70            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 241.90/47.70    (18)   ~ (e23 = e20)
% 241.90/47.70    (19)   ~ (all_16_7 = e23)
% 241.90/47.70    (20)  op2(e24, e23) = e22
% 241.90/47.70    (21)   ~ (e24 = e21)
% 241.90/47.70    (22)   ~ (e22 = e21)
% 241.90/47.70    (23)  op2(e23, e22) = e20
% 241.90/47.70    (24)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 241.90/47.70              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 241.90/47.70            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 241.90/47.70    (25)  all_24_8 = e20
% 241.90/47.70    (26)  all_24_1 = e22
% 241.90/47.70    (27)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.70            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.90/47.70            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.90/47.70    (28)   ~ (all_16_8 = e23)
% 241.90/47.70    (29)  op2(e22, e23) = all_16_7
% 241.90/47.70    (30)   ~ (all_16_19 = e24)
% 241.90/47.70    (31)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.90/47.70            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.90/47.70            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.90/47.70    (32)   ~ (all_16_4 = e22)
% 241.90/47.70    (33)   ~ (e21 = e20)
% 241.90/47.70    (34)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 241.90/47.70            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 241.90/47.70            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 241.90/47.70    (35)  all_24_9 = e20
% 241.90/47.70    (36)   ~ (e24 = e22)
% 241.90/47.70    (37)  all_24_17 = e23
% 241.90/47.70    (38)   ~ (e24 = e23)
% 241.90/47.70    (39)  op2(e23, e21) = all_10_1
% 241.90/47.70    (40)  all_24_20 = e20
% 241.90/47.70    (41)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.70            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.90/47.70            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.90/47.70    (42)  op2(e20, e21) = all_16_19
% 241.90/47.70    (43)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.70            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.70            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.70    (44)  all_24_24 = e24
% 241.90/47.70    (45)  all_24_5 = e20
% 241.90/47.70    (46)  all_24_16 = e21
% 241.90/47.70    (47)  all_24_4 = e24
% 241.90/47.70    (48)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.90/47.70            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.90/47.70            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.90/47.70    (49)  all_24_22 = e22
% 241.90/47.70    (50)  all_24_3 = e21
% 241.90/47.70    (51)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.70            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.70            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.70  
% 241.90/47.70  Begin of proof
% 241.90/47.70  | 
% 241.90/47.70  | BETA: splitting (34) gives:
% 241.90/47.70  | 
% 241.90/47.70  | Case 1:
% 241.90/47.70  | | 
% 241.90/47.70  | |   (52)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 241.90/47.70  | |             e22) = e21)
% 241.90/47.70  | | 
% 241.90/47.70  | | BETA: splitting (52) gives:
% 241.90/47.70  | | 
% 241.90/47.70  | | Case 1:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (53)  all_24_4 = e21 & op2(e24, e22) = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | ALPHA: (53) implies:
% 241.90/47.70  | | |   (54)  all_24_4 = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (47), (54) imply:
% 241.90/47.70  | | |   (55)  e24 = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | REF_CLOSE: (4), (5), (6), (10), (12), (14), (15), (19), (20), (21), (28),
% 241.90/47.70  | | |            (29), (30), (36), (38), (40), (41), (42), (44), (49), (55) are
% 241.90/47.70  | | |            inconsistent by sub-proof #245.
% 241.90/47.70  | | | 
% 241.90/47.70  | | Case 2:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (56)  all_24_5 = e21 & op2(e23, e22) = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | REF_CLOSE: (15), (23), (33), (56) are inconsistent by sub-proof #1318.
% 241.90/47.70  | | | 
% 241.90/47.70  | | End of split
% 241.90/47.70  | | 
% 241.90/47.70  | Case 2:
% 241.90/47.70  | | 
% 241.90/47.70  | |   (57)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 241.90/47.70  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 241.90/47.70  | | 
% 241.90/47.70  | | BETA: splitting (57) gives:
% 241.90/47.70  | | 
% 241.90/47.70  | | Case 1:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (58)  all_24_8 = e21 & op2(e22, e22) = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | ALPHA: (58) implies:
% 241.90/47.70  | | |   (59)  all_24_8 = e21
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (25), (59) imply:
% 241.90/47.70  | | |   (60)  e21 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | SIMP: (60) implies:
% 241.90/47.70  | | |   (61)  e21 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | COMBINE_EQS: (46), (61) imply:
% 241.90/47.70  | | |   (62)  all_24_16 = e20
% 241.90/47.70  | | | 
% 241.90/47.70  | | | REF_CLOSE: (2), (5), (7), (10), (11), (12), (15), (17), (18), (20), (21),
% 241.90/47.70  | | |            (22), (23), (33), (35), (36), (37), (38), (39), (43), (47),
% 241.90/47.70  | | |            (51), (62) are inconsistent by sub-proof #495.
% 241.90/47.70  | | | 
% 241.90/47.70  | | Case 2:
% 241.90/47.70  | | | 
% 241.90/47.70  | | |   (63)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 241.90/47.70  | | |           op2(e20, e22) = e21)
% 241.90/47.70  | | | 
% 241.90/47.70  | | | BETA: splitting (63) gives:
% 241.90/47.70  | | | 
% 241.90/47.70  | | | Case 1:
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | |   (64)  all_24_14 = e21 & op2(e21, e22) = e21
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | | REF_CLOSE: (5), (7), (9), (10), (11), (12), (15), (18), (21), (23),
% 241.90/47.70  | | | |            (36), (37), (38), (39), (43), (51), (64) are inconsistent by
% 241.90/47.70  | | | |            sub-proof #503.
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | Case 2:
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | |   (65)  all_24_22 = e21 & op2(e20, e22) = e21
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | | ALPHA: (65) implies:
% 241.90/47.70  | | | |   (66)  all_24_22 = e21
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 241.90/47.70  | | | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 241.90/47.70  | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (36), (37),
% 241.90/47.70  | | | |            (38), (39), (40), (41), (42), (43), (45), (48), (50), (51),
% 241.90/47.70  | | | |            (66) are inconsistent by sub-proof #248.
% 241.90/47.70  | | | | 
% 241.90/47.70  | | | End of split
% 241.90/47.70  | | | 
% 241.90/47.70  | | End of split
% 241.90/47.70  | | 
% 241.90/47.70  | End of split
% 241.90/47.70  | 
% 241.90/47.70  End of proof
% 241.90/47.70  
% 241.90/47.70  Sub-proof #245 shows that the following formulas are inconsistent:
% 241.90/47.70  ----------------------------------------------------------------
% 241.90/47.70    (1)   ~ (e24 = e20)
% 241.90/47.70    (2)   ~ (e23 = e21)
% 241.90/47.70    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.70             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.70           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.70    (4)  op2(e23, e23) = e21
% 241.90/47.70    (5)   ~ (e23 = e22)
% 241.90/47.70    (6)  op2(e21, e23) = all_16_8
% 241.90/47.70    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.70           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.70    (8)   ~ (all_16_7 = e23)
% 241.90/47.70    (9)  op2(e24, e23) = e22
% 241.90/47.70    (10)   ~ (e24 = e21)
% 241.90/47.70    (11)  e24 = e21
% 241.90/47.70    (12)   ~ (all_16_8 = e23)
% 241.90/47.70    (13)  op2(e22, e23) = all_16_7
% 241.90/47.70    (14)   ~ (all_16_19 = e24)
% 241.90/47.70    (15)   ~ (e24 = e22)
% 241.90/47.70    (16)   ~ (e24 = e23)
% 241.90/47.70    (17)  all_24_20 = e20
% 241.90/47.70    (18)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.70            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.90/47.70            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.90/47.70    (19)  op2(e20, e21) = all_16_19
% 241.90/47.70    (20)  all_24_24 = e24
% 241.90/47.70    (21)  all_24_22 = e22
% 241.90/47.70  
% 241.90/47.70  Begin of proof
% 241.90/47.70  | 
% 241.90/47.70  | SIMP: (11) implies:
% 241.90/47.70  |   (22)  e24 = e21
% 241.90/47.70  | 
% 241.90/47.70  | COMBINE_EQS: (20), (22) imply:
% 241.90/47.70  |   (23)  all_24_24 = e21
% 241.90/47.70  | 
% 241.90/47.70  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 241.90/47.70  |            (14), (15), (16), (17), (18), (19), (21), (23) are inconsistent by
% 241.90/47.70  |            sub-proof #372.
% 241.90/47.70  | 
% 241.90/47.70  End of proof
% 241.90/47.70  
% 241.90/47.70  Sub-proof #246 shows that the following formulas are inconsistent:
% 241.90/47.70  ----------------------------------------------------------------
% 241.90/47.70    (1)  all_24_0 = e23
% 241.90/47.70    (2)  all_24_20 = e21 & op2(e20, e24) = e21
% 241.90/47.70    (3)   ~ (e23 = e21)
% 241.90/47.70    (4)  op2(e23, e21) = e24
% 241.90/47.70    (5)  op2(e23, e23) = e21
% 241.90/47.70    (6)  all_24_2 = e22
% 241.90/47.70    (7)   ~ (e23 = e22)
% 241.90/47.70    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.70           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.70    (9)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 241.90/47.70           = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 241.90/47.70           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 241.90/47.70    (10)   ~ (e23 = e20)
% 241.90/47.70    (11)  op2(e24, e23) = e22
% 241.90/47.70    (12)   ~ (e24 = e21)
% 241.90/47.70    (13)   ~ (e22 = e21)
% 241.90/47.70    (14)  op2(e23, e22) = e20
% 241.90/47.70    (15)   ~ (e21 = e20)
% 241.90/47.70    (16)  all_24_9 = e20
% 241.90/47.70    (17)   ~ (e24 = e22)
% 241.90/47.70    (18)  all_24_17 = e23
% 241.90/47.70    (19)   ~ (e24 = e23)
% 241.90/47.71    (20)  op2(e23, e21) = all_10_1
% 241.90/47.71    (21)  all_24_20 = e20
% 241.90/47.71    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.71            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.71            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.71    (23)  all_24_16 = e21
% 241.90/47.71    (24)  all_24_4 = e24
% 241.90/47.71    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.71            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.71            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.71  
% 241.90/47.71  Begin of proof
% 241.90/47.71  | 
% 241.90/47.71  | ALPHA: (2) implies:
% 241.90/47.71  |   (26)  all_24_20 = e21
% 241.90/47.71  | 
% 241.90/47.71  | COMBINE_EQS: (21), (26) imply:
% 241.90/47.71  |   (27)  e21 = e20
% 241.90/47.71  | 
% 241.90/47.71  | COMBINE_EQS: (23), (27) imply:
% 241.90/47.71  |   (28)  all_24_16 = e20
% 241.90/47.71  | 
% 241.90/47.71  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 241.90/47.71  |            (14), (15), (16), (17), (18), (19), (20), (22), (24), (25), (28)
% 241.90/47.71  |            are inconsistent by sub-proof #495.
% 241.90/47.71  | 
% 241.90/47.71  End of proof
% 241.90/47.71  
% 241.90/47.71  Sub-proof #247 shows that the following formulas are inconsistent:
% 241.90/47.71  ----------------------------------------------------------------
% 241.90/47.71    (1)  all_24_0 = e23
% 241.90/47.71    (2)   ~ (all_16_15 = e24)
% 241.90/47.71    (3)  all_24_20 = e24 & op2(e20, e24) = e24
% 241.90/47.71    (4)   ~ (e24 = e20)
% 241.90/47.71    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.71           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.71    (6)   ~ (e24 = e21)
% 241.90/47.71    (7)  all_24_1 = e22
% 241.90/47.71    (8)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.90/47.71           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 241.90/47.71           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 241.90/47.71    (9)  op2(e24, e21) = all_16_15
% 241.90/47.71    (10)   ~ (e24 = e22)
% 241.90/47.71    (11)   ~ (e24 = e23)
% 241.90/47.71    (12)  all_24_20 = e20
% 241.90/47.71    (13)  all_24_16 = e21
% 241.90/47.71    (14)  all_24_4 = e24
% 241.90/47.71  
% 241.90/47.71  Begin of proof
% 241.90/47.71  | 
% 241.90/47.71  | ALPHA: (3) implies:
% 241.90/47.71  |   (15)  all_24_20 = e24
% 241.90/47.71  | 
% 241.90/47.71  | COMBINE_EQS: (12), (15) imply:
% 241.90/47.71  |   (16)  e24 = e20
% 241.90/47.71  | 
% 241.90/47.71  | COMBINE_EQS: (14), (16) imply:
% 241.90/47.71  |   (17)  all_24_4 = e20
% 241.90/47.71  | 
% 241.90/47.71  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13), (17) are
% 241.90/47.71  |            inconsistent by sub-proof #504.
% 241.90/47.71  | 
% 241.90/47.71  End of proof
% 241.90/47.71  
% 241.90/47.71  Sub-proof #248 shows that the following formulas are inconsistent:
% 241.90/47.71  ----------------------------------------------------------------
% 241.90/47.71    (1)  all_24_23 = e21
% 241.90/47.71    (2)  op2(e20, e24) = all_16_4
% 241.90/47.71    (3)   ~ (e24 = e20)
% 241.90/47.71    (4)   ~ (e23 = e21)
% 241.90/47.71    (5)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.71             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.71           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.71    (6)  op2(e23, e21) = e24
% 241.90/47.71    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.71           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.71           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.71    (8)  op2(e23, e23) = e21
% 241.90/47.71    (9)  all_24_2 = e22
% 241.90/47.71    (10)   ~ (e23 = e22)
% 241.90/47.71    (11)   ~ (e22 = e20)
% 241.90/47.71    (12)  op2(e21, e23) = all_16_8
% 241.90/47.71    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.71            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.71    (14)  op2(e23, e24) = e22
% 241.90/47.71    (15)   ~ (e23 = e20)
% 241.90/47.71    (16)   ~ (all_16_7 = e23)
% 241.90/47.71    (17)  op2(e24, e23) = e22
% 241.90/47.71    (18)   ~ (e24 = e21)
% 241.90/47.71    (19)   ~ (e22 = e21)
% 241.90/47.71    (20)  op2(e23, e22) = e20
% 241.90/47.71    (21)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 241.90/47.71              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 241.90/47.71            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 241.90/47.71    (22)  all_24_1 = e22
% 241.90/47.71    (23)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.71            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.90/47.71            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.90/47.71    (24)   ~ (all_16_8 = e23)
% 241.90/47.71    (25)  op2(e22, e23) = all_16_7
% 241.90/47.71    (26)   ~ (all_16_19 = e24)
% 241.90/47.71    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.90/47.71            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.90/47.71            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.90/47.71    (28)   ~ (all_16_4 = e22)
% 241.90/47.71    (29)   ~ (e21 = e20)
% 241.90/47.71    (30)   ~ (e24 = e22)
% 241.90/47.71    (31)  all_24_17 = e23
% 241.90/47.71    (32)   ~ (e24 = e23)
% 241.90/47.71    (33)  op2(e23, e21) = all_10_1
% 241.90/47.71    (34)  all_24_20 = e20
% 241.90/47.71    (35)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.71            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 241.90/47.71            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 241.90/47.71    (36)  op2(e20, e21) = all_16_19
% 241.90/47.71    (37)  all_24_22 = e21
% 241.90/47.71    (38)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.71            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.71            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.71    (39)  all_24_5 = e20
% 241.90/47.71    (40)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.90/47.71            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.90/47.71            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.90/47.71    (41)  all_24_3 = e21
% 241.90/47.71    (42)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.71            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.71            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.71  
% 241.90/47.71  Begin of proof
% 241.90/47.71  | 
% 241.90/47.71  | BETA: splitting (21) gives:
% 241.90/47.71  | 
% 241.90/47.71  | Case 1:
% 241.90/47.71  | | 
% 241.90/47.71  | |   (43)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 241.90/47.71  | |           op2(e20, e23) = e22)
% 241.90/47.71  | | 
% 241.90/47.71  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 241.90/47.71  | |            (16), (17), (18), (19), (20), (22), (23), (25), (27), (28), (29),
% 241.90/47.71  | |            (30), (31), (32), (33), (35), (38), (40), (41), (42), (43) are
% 241.90/47.71  | |            inconsistent by sub-proof #775.
% 241.90/47.71  | | 
% 241.90/47.71  | Case 2:
% 241.90/47.71  | | 
% 241.90/47.71  | |   (44)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 241.90/47.71  | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 241.90/47.71  | | 
% 241.90/47.71  | | BETA: splitting (44) gives:
% 241.90/47.71  | | 
% 241.90/47.71  | | Case 1:
% 241.90/47.71  | | | 
% 241.90/47.71  | | |   (45)  all_24_22 = e22 & op2(e20, e22) = e22
% 241.90/47.71  | | | 
% 241.90/47.71  | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (13), (15), (18), (19),
% 241.90/47.71  | | |            (20), (27), (30), (32), (33), (37), (38), (39), (42), (45) are
% 241.90/47.71  | | |            inconsistent by sub-proof #298.
% 241.90/47.71  | | | 
% 241.90/47.71  | | Case 2:
% 241.90/47.71  | | | 
% 241.90/47.71  | | |   (46)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 241.90/47.71  | | |           op2(e20, e20) = e22)
% 241.90/47.71  | | | 
% 241.90/47.71  | | | BETA: splitting (46) gives:
% 241.90/47.71  | | | 
% 241.90/47.71  | | | Case 1:
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | |   (47)  all_24_23 = e22 & op2(e20, e21) = e22
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | | ALPHA: (47) implies:
% 241.90/47.71  | | | |   (48)  all_24_23 = e22
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (10), (11), (13), (15), (18),
% 241.90/47.71  | | | |            (19), (20), (27), (30), (32), (33), (38), (39), (42), (48)
% 241.90/47.71  | | | |            are inconsistent by sub-proof #731.
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | Case 2:
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | |   (49)  all_24_24 = e22 & op2(e20, e20) = e22
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | | ALPHA: (49) implies:
% 241.90/47.71  | | | |   (50)  all_24_24 = e22
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | | REF_CLOSE: (3), (4), (5), (8), (10), (12), (13), (16), (17), (18), (24),
% 241.90/47.71  | | | |            (25), (26), (30), (32), (34), (35), (36), (37), (50) are
% 241.90/47.71  | | | |            inconsistent by sub-proof #350.
% 241.90/47.71  | | | | 
% 241.90/47.71  | | | End of split
% 241.90/47.71  | | | 
% 241.90/47.71  | | End of split
% 241.90/47.71  | | 
% 241.90/47.71  | End of split
% 241.90/47.71  | 
% 241.90/47.71  End of proof
% 241.90/47.71  
% 241.90/47.71  Sub-proof #249 shows that the following formulas are inconsistent:
% 241.90/47.71  ----------------------------------------------------------------
% 241.90/47.71    (1)  op2(e23, unit2) = e23
% 241.90/47.71    (2)   ~ (e24 = e20)
% 241.90/47.71    (3)   ~ (e23 = e21)
% 241.90/47.71    (4)  op2(e23, e21) = e24
% 241.90/47.71    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.71           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.71           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.71    (6)  all_24_14 = e23
% 241.90/47.71    (7)  op2(e23, e23) = e21
% 241.90/47.71    (8)  all_24_2 = e22
% 241.90/47.71    (9)   ~ (e23 = e22)
% 241.90/47.71    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.71            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.71    (11)  op2(e23, e24) = e22
% 241.90/47.71    (12)   ~ (e23 = e20)
% 241.90/47.71    (13)   ~ (all_6_2 = e20)
% 241.90/47.71    (14)   ~ (e24 = e21)
% 241.90/47.71    (15)   ~ (e22 = e21)
% 241.90/47.71    (16)  op2(e23, e22) = e20
% 241.90/47.71    (17)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 241.90/47.71    (18)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 & op2(e21,
% 241.90/47.71              e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 241.90/47.71    (19)  op2(e21, e21) = all_6_2
% 241.90/47.71    (20)   ~ (e21 = e20)
% 241.90/47.71    (21)   ~ (e24 = e22)
% 241.90/47.71    (22)  all_24_17 = e23
% 241.90/47.71    (23)   ~ (e24 = e23)
% 241.90/47.71    (24)  op2(e23, e21) = all_10_1
% 241.90/47.71    (25)  op2(e21, unit2) = e21
% 241.90/47.71    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.71            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.71            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.71    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.71            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.71            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.71  
% 241.90/47.71  Begin of proof
% 241.90/47.71  | 
% 241.90/47.71  | BETA: splitting (18) gives:
% 241.90/47.71  | 
% 241.90/47.71  | Case 1:
% 241.90/47.71  | | 
% 241.90/47.71  | |   (28)  all_24_14 = e20 & op2(e21, e22) = e20
% 241.90/47.71  | | 
% 241.90/47.71  | | ALPHA: (28) implies:
% 241.90/47.71  | |   (29)  all_24_14 = e20
% 241.90/47.71  | | 
% 241.90/47.71  | | COMBINE_EQS: (6), (29) imply:
% 241.90/47.71  | |   (30)  e23 = e20
% 241.90/47.71  | | 
% 241.90/47.71  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (14), (15), (16),
% 241.90/47.71  | |            (20), (21), (22), (23), (24), (26), (27), (30) are inconsistent
% 241.90/47.71  | |            by sub-proof #833.
% 241.90/47.71  | | 
% 241.90/47.71  | Case 2:
% 241.90/47.71  | | 
% 241.90/47.71  | |   (31)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 241.90/47.71  | |           op2(e21, e20) = e20)
% 241.90/47.71  | | 
% 241.90/47.71  | | BETA: splitting (31) gives:
% 241.90/47.71  | | 
% 241.90/47.71  | | Case 1:
% 241.90/47.71  | | | 
% 241.90/47.71  | | |   (32)  all_24_15 = e20 & op2(e21, e21) = e20
% 241.90/47.71  | | | 
% 241.90/47.71  | | | REF_CLOSE: (10), (13), (19), (32) are inconsistent by sub-proof #519.
% 241.90/47.71  | | | 
% 241.90/47.71  | | Case 2:
% 241.90/47.71  | | | 
% 241.90/47.71  | | |   (33)  all_24_19 = e20 & op2(e21, e20) = e20
% 241.90/47.71  | | | 
% 241.90/47.71  | | | REF_CLOSE: (1), (4), (9), (10), (11), (12), (16), (17), (23), (24), (25),
% 241.90/47.71  | | |            (33) are inconsistent by sub-proof #278.
% 241.90/47.71  | | | 
% 241.90/47.71  | | End of split
% 241.90/47.71  | | 
% 241.90/47.71  | End of split
% 241.90/47.71  | 
% 241.90/47.71  End of proof
% 241.90/47.71  
% 241.90/47.71  Sub-proof #250 shows that the following formulas are inconsistent:
% 241.90/47.71  ----------------------------------------------------------------
% 241.90/47.71    (1)  all_24_7 = e20
% 241.90/47.71    (2)  all_24_0 = e23
% 241.90/47.71    (3)   ~ (all_16_15 = e24)
% 241.90/47.71    (4)   ~ (e24 = e20)
% 241.90/47.71    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.71           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.71    (6)  all_24_7 = e24
% 241.90/47.71    (7)   ~ (e24 = e21)
% 241.90/47.71    (8)  all_24_1 = e22
% 241.90/47.72    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.90/47.72           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 241.90/47.72           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 241.90/47.72    (10)  op2(e24, e21) = all_16_15
% 241.90/47.72    (11)   ~ (e24 = e22)
% 241.90/47.72    (12)   ~ (e24 = e23)
% 241.90/47.72    (13)  all_24_16 = e21
% 241.90/47.72    (14)  all_24_4 = e24
% 241.90/47.72  
% 241.90/47.72  Begin of proof
% 241.90/47.72  | 
% 241.90/47.72  | COMBINE_EQS: (1), (6) imply:
% 241.90/47.72  |   (15)  e24 = e20
% 241.90/47.72  | 
% 241.90/47.72  | COMBINE_EQS: (14), (15) imply:
% 241.90/47.72  |   (16)  all_24_4 = e20
% 241.90/47.72  | 
% 241.90/47.72  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (16) are
% 241.90/47.72  |            inconsistent by sub-proof #504.
% 241.90/47.72  | 
% 241.90/47.72  End of proof
% 241.90/47.72  
% 241.90/47.72  Sub-proof #251 shows that the following formulas are inconsistent:
% 241.90/47.72  ----------------------------------------------------------------
% 241.90/47.72    (1)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 241.90/47.72           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 241.90/47.72           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 241.90/47.72    (2)  all_24_0 = e23
% 241.90/47.72    (3)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 241.90/47.72           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 241.90/47.72           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 241.90/47.72    (4)   ~ (all_16_15 = e24)
% 241.90/47.72    (5)   ~ (e24 = e20)
% 241.90/47.72    (6)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 241.90/47.72             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 241.90/47.72           e20 & op2(e21, e20) = e20)
% 241.90/47.72    (7)   ~ (e23 = e21)
% 241.90/47.72    (8)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 241.90/47.72             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 241.90/47.72           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 241.90/47.72    (9)  all_24_11 = e23
% 241.90/47.72    (10)  op2(e23, e21) = e24
% 241.90/47.72    (11)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 241.90/47.72            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 241.90/47.72            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 241.90/47.72    (12)  all_24_14 = e23
% 241.90/47.72    (13)  op2(e23, e23) = e21
% 241.90/47.72    (14)  all_24_2 = e22
% 241.90/47.72    (15)  all_24_19 = e22
% 241.90/47.72    (16)   ~ (e23 = e22)
% 241.90/47.72    (17)   ~ (e22 = e20)
% 241.90/47.72    (18)   ~ (all_6_2 = e24)
% 241.90/47.72    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 241.90/47.72            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 241.90/47.72    (20)  op2(e23, e24) = e22
% 241.90/47.72    (21)  all_24_21 = e23
% 241.90/47.72    (22)   ~ (e23 = e20)
% 241.90/47.72    (23)  op2(e24, e23) = e22
% 241.90/47.72    (24)   ~ (e24 = e21)
% 241.90/47.72    (25)   ~ (e22 = e21)
% 241.90/47.72    (26)   ~ (all_16_17 = e24)
% 241.90/47.72    (27)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 241.90/47.72              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 241.90/47.72            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 241.90/47.72    (28)  op2(e23, e22) = e20
% 241.90/47.72    (29)  all_24_1 = e22
% 241.90/47.72    (30)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 241.90/47.72            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 241.90/47.72            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 241.90/47.72    (31)  op2(e22, e21) = all_16_17
% 241.90/47.72    (32)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.72            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 241.90/47.72            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 241.90/47.72    (33)   ~ (all_16_19 = e24)
% 241.90/47.72    (34)  op2(e21, e21) = all_6_2
% 241.90/47.72    (35)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 241.90/47.72            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 241.90/47.72            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 241.90/47.72    (36)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 241.90/47.72            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 241.90/47.72            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 241.90/47.72    (37)   ~ (e21 = e20)
% 241.90/47.72    (38)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 241.90/47.72            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 241.90/47.72            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 241.90/47.72    (39)  op2(e24, e21) = all_16_15
% 241.90/47.72    (40)   ~ (e24 = e22)
% 241.90/47.72    (41)  e24 = e22
% 241.90/47.72    (42)  all_24_17 = e23
% 241.90/47.72    (43)   ~ (e24 = e23)
% 241.90/47.72    (44)  op2(e23, e21) = all_10_1
% 241.90/47.72    (45)  all_24_20 = e20
% 241.90/47.72    (46)  op2(e20, e21) = all_16_19
% 241.90/47.72    (47)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 241.90/47.72            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 241.90/47.72            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 241.90/47.72    (48)  all_24_5 = e20
% 241.90/47.72    (49)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 241.90/47.72              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 241.90/47.72            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 241.90/47.72    (50)  all_24_4 = e24
% 241.90/47.72    (51)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 241.90/47.72            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 241.90/47.72            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 241.90/47.72    (52)  all_24_3 = e21
% 241.90/47.72    (53)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 241.90/47.72            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 241.90/47.72            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 241.90/47.72  
% 241.90/47.72  Begin of proof
% 241.90/47.72  | 
% 241.90/47.72  | COMBINE_EQS: (41), (50) imply:
% 241.90/47.72  |   (54)  all_24_4 = e22
% 241.90/47.72  | 
% 241.90/47.72  | BETA: splitting (30) gives:
% 241.90/47.72  | 
% 241.90/47.72  | Case 1:
% 241.90/47.72  | | 
% 241.90/47.72  | |   (55)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 241.90/47.72  | |             e23) = e24)
% 241.90/47.72  | | 
% 241.90/47.72  | | BETA: splitting (55) gives:
% 241.90/47.72  | | 
% 241.90/47.72  | | Case 1:
% 241.90/47.72  | | | 
% 241.90/47.72  | | |   (56)  all_24_0 = e24 & op2(e24, e24) = e24
% 241.90/47.72  | | | 
% 241.90/47.72  | | | REF_CLOSE: (2), (43), (56) are inconsistent by sub-proof #677.
% 241.90/47.72  | | | 
% 241.90/47.72  | | Case 2:
% 241.90/47.72  | | | 
% 241.90/47.72  | | |   (57)  all_24_1 = e24 & op2(e24, e23) = e24
% 241.90/47.72  | | | 
% 241.90/47.72  | | | REF_CLOSE: (29), (40), (57) are inconsistent by sub-proof #870.
% 241.90/47.72  | | | 
% 241.90/47.72  | | End of split
% 241.90/47.72  | | 
% 241.90/47.72  | Case 2:
% 241.90/47.72  | | 
% 242.12/47.72  | |   (58)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 242.12/47.72  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.12/47.72  | | 
% 242.12/47.72  | | BETA: splitting (58) gives:
% 242.12/47.72  | | 
% 242.12/47.72  | | Case 1:
% 242.12/47.72  | | | 
% 242.12/47.72  | | |   (59)  all_24_4 = e24 & op2(e24, e22) = e24
% 242.12/47.72  | | | 
% 242.12/47.72  | | | REF_CLOSE: (40), (54), (59) are inconsistent by sub-proof #309.
% 242.12/47.72  | | | 
% 242.12/47.72  | | Case 2:
% 242.12/47.72  | | | 
% 242.12/47.72  | | |   (60)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 242.12/47.72  | | |           op2(e24, e20) = e24)
% 242.12/47.72  | | | 
% 242.12/47.72  | | | BETA: splitting (60) gives:
% 242.12/47.72  | | | 
% 242.12/47.72  | | | Case 1:
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | |   (61)  all_24_9 = e24 & op2(e24, e21) = e24
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | | REF_CLOSE: (4), (19), (39), (61) are inconsistent by sub-proof #862.
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | Case 2:
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | |   (62)  all_24_16 = e24 & op2(e24, e20) = e24
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | | ALPHA: (62) implies:
% 242.12/47.72  | | | |   (63)  all_24_16 = e24
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | | BETA: splitting (6) gives:
% 242.12/47.72  | | | | 
% 242.12/47.72  | | | | Case 1:
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | |   (64)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 242.12/47.72  | | | | |           op2(e23, e20) = e20)
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | | BETA: splitting (64) gives:
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | | Case 1:
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | |   (65)  all_24_16 = e20 & op2(e24, e20) = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | ALPHA: (65) implies:
% 242.12/47.72  | | | | | |   (66)  all_24_16 = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | REF_CLOSE: (5), (63), (66) are inconsistent by sub-proof #754.
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | Case 2:
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | |   (67)  all_24_17 = e20 & op2(e23, e20) = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | ALPHA: (67) implies:
% 242.12/47.72  | | | | | |   (68)  all_24_17 = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (14), (16), (19), (22), (24),
% 242.12/47.72  | | | | | |            (25), (28), (37), (40), (43), (44), (47), (53), (68) are
% 242.12/47.72  | | | | | |            inconsistent by sub-proof #888.
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | End of split
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | Case 2:
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | |   (69)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 242.12/47.72  | | | | |           op2(e21, e20) = e20)
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | | BETA: splitting (69) gives:
% 242.12/47.72  | | | | | 
% 242.12/47.72  | | | | | Case 1:
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | |   (70)  all_24_18 = e20 & op2(e22, e20) = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | ALPHA: (70) implies:
% 242.12/47.72  | | | | | |   (71)  all_24_18 = e20
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | BETA: splitting (49) gives:
% 242.12/47.72  | | | | | | 
% 242.12/47.72  | | | | | | Case 1:
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | |   (72)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21
% 242.12/47.72  | | | | | | |           & op2(e23, e20) = e21)
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | | BETA: splitting (72) gives:
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | | Case 1:
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | |   (73)  all_24_16 = e21 & op2(e24, e20) = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | ALPHA: (73) implies:
% 242.12/47.72  | | | | | | | |   (74)  all_24_16 = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | REF_CLOSE: (24), (63), (74) are inconsistent by sub-proof #861.
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | Case 2:
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | |   (75)  all_24_17 = e21 & op2(e23, e20) = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | ALPHA: (75) implies:
% 242.12/47.72  | | | | | | | |   (76)  all_24_17 = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | REF_CLOSE: (7), (10), (13), (14), (16), (19), (22), (24), (28),
% 242.12/47.72  | | | | | | | |            (40), (43), (44), (47), (53), (76) are inconsistent
% 242.12/47.72  | | | | | | | |            by sub-proof #874.
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | End of split
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | Case 2:
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | |   (77)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21
% 242.12/47.72  | | | | | | |           & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20,
% 242.12/47.72  | | | | | | |             e20) = e21)
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | | BETA: splitting (77) gives:
% 242.12/47.72  | | | | | | | 
% 242.12/47.72  | | | | | | | Case 1:
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | |   (78)  all_24_18 = e21 & op2(e22, e20) = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | ALPHA: (78) implies:
% 242.12/47.72  | | | | | | | |   (79)  all_24_18 = e21
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | COMBINE_EQS: (71), (79) imply:
% 242.12/47.72  | | | | | | | |   (80)  e21 = e20
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | REDUCE: (37), (80) imply:
% 242.12/47.72  | | | | | | | |   (81)  $false
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | CLOSE: (81) is inconsistent.
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | Case 2:
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | |   (82)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 =
% 242.12/47.72  | | | | | | | |           e21 & op2(e20, e20) = e21)
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | BETA: splitting (82) gives:
% 242.12/47.72  | | | | | | | | 
% 242.12/47.72  | | | | | | | | Case 1:
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | |   (83)  all_24_19 = e21 & op2(e21, e20) = e21
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | ALPHA: (83) implies:
% 242.12/47.72  | | | | | | | | |   (84)  all_24_19 = e21
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | REF_CLOSE: (5), (7), (10), (13), (14), (15), (16), (17), (19),
% 242.12/47.72  | | | | | | | | |            (22), (24), (25), (28), (35), (40), (43), (44),
% 242.12/47.72  | | | | | | | | |            (47), (48), (53), (84) are inconsistent by
% 242.12/47.72  | | | | | | | | |            sub-proof #685.
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | Case 2:
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | |   (85)  all_24_24 = e21 & op2(e20, e20) = e21
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | ALPHA: (85) implies:
% 242.12/47.72  | | | | | | | | |   (86)  all_24_24 = e21
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | BETA: splitting (8) gives:
% 242.12/47.72  | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | Case 1:
% 242.12/47.72  | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | |   (87)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21
% 242.12/47.72  | | | | | | | | | |           = e24 & op2(e20, e23) = e24)
% 242.12/47.72  | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | BETA: splitting (87) gives:
% 242.12/47.72  | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | Case 1:
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | |   (88)  all_24_20 = e24 & op2(e20, e24) = e24
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | | REF_CLOSE: (5), (45), (88) are inconsistent by sub-proof
% 242.12/47.72  | | | | | | | | | | |            #820.
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | Case 2:
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | |   (89)  all_24_21 = e24 & op2(e20, e23) = e24
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | | ALPHA: (89) implies:
% 242.12/47.72  | | | | | | | | | | |   (90)  all_24_21 = e24
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | | COMBINE_EQS: (21), (90) imply:
% 242.12/47.72  | | | | | | | | | | |   (91)  e24 = e23
% 242.12/47.72  | | | | | | | | | | | 
% 242.12/47.72  | | | | | | | | | | | REDUCE: (43), (91) imply:
% 242.12/47.73  | | | | | | | | | | |   (92)  $false
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | |   (93)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23
% 242.12/47.73  | | | | | | | | | |           = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 242.12/47.73  | | | | | | | | | |           op2(e20, e20) = e24)
% 242.12/47.73  | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | BETA: splitting (93) gives:
% 242.12/47.73  | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | |   (94)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | ALPHA: (94) implies:
% 242.12/47.73  | | | | | | | | | | |   (95)  all_24_22 = e24
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | BETA: splitting (1) gives:
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | |   (96)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 242.12/47.73  | | | | | | | | | | | |           = e22 & op2(e22, e23) = e22)
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | BETA: splitting (96) gives:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | |   (97)  all_24_6 = e22 & op2(e22, e24) = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | ALPHA: (97) implies:
% 242.12/47.73  | | | | | | | | | | | | |   (98)  all_24_6 = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (99)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 242.12/47.73  | | | | | | | | | | | | | |           = e21 & op2(e23, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (100)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (13), (14), (16), (17), (19),
% 242.12/47.73  | | | | | | | | | | | | | | |            (22), (24), (25), (28), (35), (40), (43), (44),
% 242.12/47.73  | | | | | | | | | | | | | | |            (47), (48), (53), (54), (100) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | |            sub-proof #865.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (101)  all_24_5 = e21 & op2(e23, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (19), (28), (37), (101) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | |            sub-proof #1318.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (102)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | |          (all_24_14 = e21 & op2(e21, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (103)  all_24_8 = e21 & op2(e22, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 242.12/47.73  | | | | | | | | | | | | | | |   (104)  all_24_8 = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | |   (105)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 242.12/47.73  | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (7), (10), (13), (14), (16), (17), (19),
% 242.12/47.73  | | | | | | | | | | | | | | | |            (22), (24), (25), (28), (35), (40), (42), (43),
% 242.12/47.73  | | | | | | | | | | | | | | | |            (44), (47), (48), (53), (105) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | | |            sub-proof #533.
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | |   (106)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | |   (107)  all_24_6 = e21 & op2(e22, e24) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (13), (14), (16), (17), (19),
% 242.12/47.73  | | | | | | | | | | | | | | | | |            (22), (24), (25), (28), (35), (40), (43), (44),
% 242.12/47.73  | | | | | | | | | | | | | | | | |            (47), (48), (53), (98), (107) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | | | |            sub-proof #828.
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | |   (108)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | |   (109)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | |   (110)  all_24_12 = e21
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | |   (111)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (112)  all_24_12 = e24 & op2(e21, e24) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (113)  all_24_12 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (113) imply:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (114)  e24 = e21
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (114) imply:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (115)  $false
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (116)  all_24_13 = e24 & op2(e21, e23) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (117)  all_24_13 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (118)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e22, e23) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (119)  all_24_6 = e24 & op2(e22, e24) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (98), (119) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |            #825.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (120)  all_24_7 = e24 & op2(e22, e23) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (121)  all_24_7 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (14), (16), (17),
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |            (19), (21), (22), (23), (24), (25), (28), (37),
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |            (40), (42), (43), (44), (47), (51), (53), (117),
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |            (121) are inconsistent by sub-proof #831.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (122)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e24 & op2(e22, e21) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (123)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (124)  all_24_8 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (104), (124) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |            #603.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |   (125)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | |   (126)  all_24_11 = e24 & op2(e22, e21) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (26), (31), (126) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | |   (127)  all_24_18 = e24 & op2(e22, e20) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | |   (128)  all_24_18 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (71), (128) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | |            #321.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | |   (129)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | |          (all_24_15 = e24 & op2(e21, e21) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (130)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (43), (130) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |            #502.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |   (131)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (132)  all_24_15 = e24 & op2(e21, e21) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (34), (132) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (133)  all_24_19 = e24 & op2(e21, e20) = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (134)  all_24_19 = e24
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (134) imply:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (135)  e24 = e22
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (41) imply:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | |   (136)  $false
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | CLOSE: (136) is inconsistent.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | |   (137)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (45), (137) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | | | | | | | |            #304.
% 242.12/47.73  | | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (138)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (12), (13), (14), (16), (19), (22),
% 242.12/47.73  | | | | | | | | | | | | | | |            (24), (28), (40), (42), (43), (44), (47), (53),
% 242.12/47.73  | | | | | | | | | | | | | | |            (95), (138) are inconsistent by sub-proof #253.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | |   (139)  all_24_7 = e22 & op2(e22, e23) = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | ALPHA: (139) implies:
% 242.12/47.73  | | | | | | | | | | | | |   (140)  all_24_7 = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (14), (16), (17),
% 242.12/47.73  | | | | | | | | | | | | |            (19), (21), (22), (23), (24), (25), (28), (29),
% 242.12/47.73  | | | | | | | | | | | | |            (32), (35), (37), (40), (42), (43), (44), (47),
% 242.12/47.73  | | | | | | | | | | | | |            (51), (52), (53), (140) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | |            sub-proof #812.
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | |   (141)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 242.12/47.73  | | | | | | | | | | | |          (all_24_11 = e22 & op2(e22, e21) = e22) |
% 242.12/47.73  | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | BETA: splitting (141) gives:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | |   (142)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | ALPHA: (142) implies:
% 242.12/47.73  | | | | | | | | | | | | |   (143)  all_24_8 = e22
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (144)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 242.12/47.73  | | | | | | | | | | | | | |            = e21 & op2(e23, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (145)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (13), (14), (16), (17), (19),
% 242.12/47.73  | | | | | | | | | | | | | | |            (22), (24), (25), (28), (35), (40), (43), (44),
% 242.12/47.73  | | | | | | | | | | | | | | |            (47), (48), (53), (54), (145) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | |            sub-proof #865.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (146)  all_24_5 = e21 & op2(e23, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (19), (28), (37), (146) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | |            sub-proof #1318.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (147)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | |          (all_24_14 = e21 & op2(e21, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (148)  all_24_8 = e21 & op2(e22, e22) = e21
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (13), (14), (16), (17), (19),
% 242.12/47.73  | | | | | | | | | | | | | | |            (22), (24), (25), (28), (35), (40), (43), (44),
% 242.12/47.73  | | | | | | | | | | | | | | |            (47), (48), (53), (143), (148) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | | | | |            sub-proof #625.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | |   (149)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 242.12/47.73  | | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (12), (13), (14), (16), (19), (22),
% 242.12/47.73  | | | | | | | | | | | | | | |            (24), (28), (40), (42), (43), (44), (47), (53),
% 242.12/47.73  | | | | | | | | | | | | | | |            (95), (149) are inconsistent by sub-proof #253.
% 242.12/47.73  | | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | |   (150)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 242.12/47.73  | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | BETA: splitting (150) gives:
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (151)  all_24_11 = e22 & op2(e22, e21) = e22
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (10), (13), (16), (19), (20), (22),
% 242.12/47.73  | | | | | | | | | | | | | |            (28), (42), (43), (44), (53), (151) are
% 242.12/47.73  | | | | | | | | | | | | | |            inconsistent by sub-proof #618.
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | |   (152)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (14), (16), (17),
% 242.12/47.73  | | | | | | | | | | | | | |            (19), (22), (24), (25), (28), (35), (37), (40),
% 242.12/47.73  | | | | | | | | | | | | | |            (43), (44), (47), (53), (71), (152) are
% 242.12/47.73  | | | | | | | | | | | | | |            inconsistent by sub-proof #553.
% 242.12/47.73  | | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | |   (153)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 242.12/47.73  | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | BETA: splitting (153) gives:
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | Case 1:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | |   (154)  all_24_23 = e24 & op2(e20, e21) = e24
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | ALPHA: (154) implies:
% 242.12/47.73  | | | | | | | | | | | |   (155)  op2(e20, e21) = e24
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | REF_CLOSE: (19), (33), (46), (155) are inconsistent by
% 242.12/47.73  | | | | | | | | | | | |            sub-proof #769.
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | Case 2:
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | |   (156)  all_24_24 = e24 & op2(e20, e20) = e24
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | | REF_CLOSE: (24), (86), (156) are inconsistent by sub-proof
% 242.12/47.73  | | | | | | | | | | | |            #252.
% 242.12/47.73  | | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | | 
% 242.12/47.73  | | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | | 
% 242.12/47.73  | | | | | | | | End of split
% 242.12/47.73  | | | | | | | | 
% 242.12/47.73  | | | | | | | End of split
% 242.12/47.73  | | | | | | | 
% 242.12/47.73  | | | | | | End of split
% 242.12/47.73  | | | | | | 
% 242.12/47.73  | | | | | Case 2:
% 242.12/47.73  | | | | | | 
% 242.12/47.73  | | | | | |   (157)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.12/47.73  | | | | | | 
% 242.12/47.73  | | | | | | ALPHA: (157) implies:
% 242.12/47.73  | | | | | |   (158)  all_24_19 = e20
% 242.12/47.73  | | | | | | 
% 242.12/47.73  | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (14), (15), (16), (17), (19),
% 242.12/47.73  | | | | | |            (22), (24), (25), (28), (35), (37), (40), (43), (44),
% 242.12/47.73  | | | | | |            (47), (53), (158) are inconsistent by sub-proof #634.
% 242.12/47.73  | | | | | | 
% 242.12/47.73  | | | | | End of split
% 242.12/47.73  | | | | | 
% 242.12/47.73  | | | | End of split
% 242.12/47.73  | | | | 
% 242.12/47.73  | | | End of split
% 242.12/47.73  | | | 
% 242.12/47.73  | | End of split
% 242.12/47.73  | | 
% 242.12/47.73  | End of split
% 242.12/47.73  | 
% 242.12/47.73  End of proof
% 242.12/47.73  
% 242.12/47.73  Sub-proof #252 shows that the following formulas are inconsistent:
% 242.12/47.73  ----------------------------------------------------------------
% 242.12/47.73    (1)  all_24_24 = e24 & op2(e20, e20) = e24
% 242.12/47.73    (2)  all_24_24 = e21
% 242.12/47.73    (3)   ~ (e24 = e21)
% 242.12/47.73  
% 242.12/47.73  Begin of proof
% 242.12/47.73  | 
% 242.12/47.73  | ALPHA: (1) implies:
% 242.12/47.73  |   (4)  all_24_24 = e24
% 242.12/47.73  | 
% 242.12/47.73  | COMBINE_EQS: (2), (4) imply:
% 242.12/47.73  |   (5)  e24 = e21
% 242.12/47.73  | 
% 242.12/47.73  | REDUCE: (3), (5) imply:
% 242.12/47.73  |   (6)  $false
% 242.12/47.73  | 
% 242.12/47.73  | CLOSE: (6) is inconsistent.
% 242.12/47.73  | 
% 242.12/47.73  End of proof
% 242.12/47.73  
% 242.12/47.73  Sub-proof #253 shows that the following formulas are inconsistent:
% 242.12/47.73  ----------------------------------------------------------------
% 242.12/47.73    (1)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20,
% 242.12/47.73             e22) = e21)
% 242.12/47.73    (2)   ~ (e23 = e21)
% 242.12/47.73    (3)  op2(e23, e21) = e24
% 242.12/47.73    (4)  all_24_14 = e23
% 242.12/47.73    (5)  op2(e23, e23) = e21
% 242.12/47.73    (6)  all_24_2 = e22
% 242.12/47.73    (7)   ~ (e23 = e22)
% 242.12/47.73    (8)  all_24_22 = e24
% 242.12/47.73    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.12/47.73           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.12/47.73    (10)   ~ (e23 = e20)
% 242.12/47.73    (11)   ~ (e24 = e21)
% 242.12/47.73    (12)  op2(e23, e22) = e20
% 242.12/47.73    (13)   ~ (e24 = e22)
% 242.12/47.73    (14)  all_24_17 = e23
% 242.12/47.73    (15)   ~ (e24 = e23)
% 242.12/47.73    (16)  op2(e23, e21) = all_10_1
% 242.12/47.73    (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.12/47.73            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.12/47.73            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.12/47.74    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.12/47.74            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.12/47.74            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.12/47.74  
% 242.12/47.74  Begin of proof
% 242.12/47.74  | 
% 242.12/47.74  | BETA: splitting (1) gives:
% 242.12/47.74  | 
% 242.12/47.74  | Case 1:
% 242.12/47.74  | | 
% 242.12/47.74  | |   (19)  all_24_14 = e21 & op2(e21, e22) = e21
% 242.12/47.74  | | 
% 242.12/47.74  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 242.12/47.74  | |            (15), (16), (17), (18), (19) are inconsistent by sub-proof #503.
% 242.12/47.74  | | 
% 242.12/47.74  | Case 2:
% 242.12/47.74  | | 
% 242.12/47.74  | |   (20)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.12/47.74  | | 
% 242.12/47.74  | | ALPHA: (20) implies:
% 242.12/47.74  | |   (21)  all_24_22 = e21
% 242.12/47.74  | | 
% 242.12/47.74  | | REF_CLOSE: (8), (11), (21) are inconsistent by sub-proof #352.
% 242.12/47.74  | | 
% 242.12/47.74  | End of split
% 242.12/47.74  | 
% 242.12/47.74  End of proof
% 242.12/47.74  
% 242.12/47.74  Sub-proof #254 shows that the following formulas are inconsistent:
% 242.12/47.74  ----------------------------------------------------------------
% 242.12/47.74    (1)  all_24_0 = e23
% 242.12/47.74    (2)   ~ (all_16_15 = e24)
% 242.12/47.74    (3)   ~ (e24 = e20)
% 242.12/47.74    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.12/47.74           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.12/47.74    (5)   ~ (e24 = e21)
% 242.12/47.74    (6)  e24 = e20
% 242.12/47.74    (7)  all_24_1 = e22
% 242.12/47.74    (8)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.12/47.74           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.12/47.74           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.12/47.74    (9)  op2(e24, e21) = all_16_15
% 242.12/47.74    (10)   ~ (e24 = e22)
% 242.12/47.74    (11)   ~ (e24 = e23)
% 242.12/47.74    (12)  all_24_16 = e21
% 242.12/47.74    (13)  all_24_4 = e24
% 242.12/47.74  
% 242.12/47.74  Begin of proof
% 242.12/47.74  | 
% 242.12/47.74  | SIMP: (6) implies:
% 242.12/47.74  |   (14)  e24 = e20
% 242.12/47.74  | 
% 242.12/47.74  | COMBINE_EQS: (13), (14) imply:
% 242.12/47.74  |   (15)  all_24_4 = e20
% 242.12/47.74  | 
% 242.12/47.74  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (15) are
% 242.12/47.74  |            inconsistent by sub-proof #504.
% 242.12/47.74  | 
% 242.12/47.74  End of proof
% 242.12/47.74  
% 242.12/47.74  Sub-proof #255 shows that the following formulas are inconsistent:
% 242.12/47.74  ----------------------------------------------------------------
% 242.12/47.74    (1)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.12/47.74             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 242.12/47.74           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.12/47.74    (2)  op2(e23, unit2) = e23
% 242.12/47.74    (3)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.12/47.74             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.12/47.74           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.12/47.74    (4)   ~ (e24 = e20)
% 242.12/47.74    (5)   ~ (e23 = e21)
% 242.12/47.74    (6)  op2(e23, e21) = e24
% 242.12/47.74    (7)   ~ (all_16_1 = e21)
% 242.12/47.74    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.12/47.74           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.12/47.74           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.12/47.74    (9)  op2(e23, e23) = e21
% 242.12/47.74    (10)  all_24_2 = e22
% 242.12/47.74    (11)   ~ (e23 = e22)
% 242.12/47.74    (12)   ~ (e22 = e20)
% 242.12/47.74    (13)   ~ (all_16_3 = e22)
% 242.12/47.74    (14)  op2(e21, e23) = all_16_8
% 242.12/47.74    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.12/47.74            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.12/47.74    (16)  op2(e23, e24) = e22
% 242.12/47.74    (17)   ~ (e23 = e20)
% 242.12/47.74    (18)   ~ (e24 = e21)
% 242.12/47.74    (19)   ~ (e22 = e21)
% 242.12/47.74    (20)   ~ (all_16_1 = e20)
% 242.12/47.74    (21)  all_24_12 = e24
% 242.12/47.74    (22)  op2(e23, e22) = e20
% 242.12/47.74    (23)   ~ (all_16_1 = e23)
% 242.12/47.74    (24)  all_24_13 = e24
% 242.12/47.74    (25)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.12/47.74    (26)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 242.12/47.74              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 242.12/47.74            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 242.12/47.74    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.12/47.74            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.12/47.74            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.12/47.74    (28)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.12/47.74    (29)   ~ (e21 = e20)
% 242.12/47.74    (30)   ~ (e24 = e22)
% 242.12/47.74    (31)  op2(e21, e24) = all_16_3
% 242.12/47.74    (32)  all_24_17 = e23
% 242.12/47.74    (33)  op2(e23, e24) = all_16_1
% 242.12/47.74    (34)   ~ (e24 = e23)
% 242.12/47.74    (35)  op2(e23, e21) = all_10_1
% 242.12/47.74    (36)  op2(e21, unit2) = e21
% 242.12/47.74    (37)   ~ (all_16_8 = e22)
% 242.12/47.74    (38)  all_20_5 = all_16_1
% 242.12/47.74    (39)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.12/47.74            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.12/47.74            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.12/47.74    (40)  all_24_15 = e23
% 242.12/47.74    (41)  all_24_5 = e20
% 242.12/47.74    (42)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.12/47.74            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.12/47.74            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.12/47.74  
% 242.12/47.74  Begin of proof
% 242.12/47.74  | 
% 242.12/47.74  | BETA: splitting (26) gives:
% 242.12/47.74  | 
% 242.12/47.74  | Case 1:
% 242.12/47.74  | | 
% 242.12/47.74  | |   (43)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 242.12/47.74  | |           op2(e21, e23) = e20)
% 242.12/47.74  | | 
% 242.12/47.74  | | BETA: splitting (43) gives:
% 242.12/47.74  | | 
% 242.12/47.74  | | Case 1:
% 242.12/47.74  | | | 
% 242.12/47.74  | | |   (44)  all_24_12 = e20 & op2(e21, e24) = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | ALPHA: (44) implies:
% 242.12/47.74  | | |   (45)  all_24_12 = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | COMBINE_EQS: (21), (45) imply:
% 242.12/47.74  | | |   (46)  e24 = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | REDUCE: (4), (46) imply:
% 242.12/47.74  | | |   (47)  $false
% 242.12/47.74  | | | 
% 242.12/47.74  | | | CLOSE: (47) is inconsistent.
% 242.12/47.74  | | | 
% 242.12/47.74  | | Case 2:
% 242.12/47.74  | | | 
% 242.12/47.74  | | |   (48)  all_24_13 = e20 & op2(e21, e23) = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | REF_CLOSE: (4), (24), (48) are inconsistent by sub-proof #867.
% 242.12/47.74  | | | 
% 242.12/47.74  | | End of split
% 242.12/47.74  | | 
% 242.12/47.74  | Case 2:
% 242.12/47.74  | | 
% 242.12/47.74  | |   (49)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 &
% 242.12/47.74  | |           op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 242.12/47.74  | | 
% 242.12/47.74  | | BETA: splitting (49) gives:
% 242.12/47.74  | | 
% 242.12/47.74  | | Case 1:
% 242.12/47.74  | | | 
% 242.12/47.74  | | |   (50)  all_24_14 = e20 & op2(e21, e22) = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | ALPHA: (50) implies:
% 242.12/47.74  | | |   (51)  all_24_14 = e20
% 242.12/47.74  | | | 
% 242.12/47.74  | | | BETA: splitting (1) gives:
% 242.12/47.74  | | | 
% 242.12/47.74  | | | Case 1:
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | |   (52)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 242.12/47.74  | | | |           op2(e21, e23) = e22)
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | | REF_CLOSE: (13), (14), (15), (31), (37), (52) are inconsistent by
% 242.12/47.74  | | | |            sub-proof #699.
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | Case 2:
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | |   (53)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 242.12/47.74  | | | |           op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | | BETA: splitting (53) gives:
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | | Case 1:
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | |   (54)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (12), (15), (17),
% 242.12/47.74  | | | | |            (18), (19), (22), (27), (29), (30), (34), (35), (39), (42),
% 242.12/47.74  | | | | |            (51), (54) are inconsistent by sub-proof #853.
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | Case 2:
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | |   (55)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 242.12/47.74  | | | | |           op2(e21, e20) = e22)
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | | BETA: splitting (55) gives:
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | | Case 1:
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | |   (56)  all_24_15 = e22 & op2(e21, e21) = e22
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | | REF_CLOSE: (5), (6), (7), (9), (11), (15), (17), (20), (22), (23),
% 242.12/47.74  | | | | | |            (28), (32), (33), (34), (35), (38), (40), (42), (56) are
% 242.12/47.74  | | | | | |            inconsistent by sub-proof #548.
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | Case 2:
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | |   (57)  all_24_19 = e22 & op2(e21, e20) = e22
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | | ALPHA: (57) implies:
% 242.12/47.74  | | | | | |   (58)  all_24_19 = e22
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | | BETA: splitting (3) gives:
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | | Case 1:
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | |   (59)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21
% 242.12/47.74  | | | | | | |           & op2(e21, e23) = e21)
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | | BETA: splitting (59) gives:
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | | Case 1:
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | |   (60)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | REF_CLOSE: (18), (21), (60) are inconsistent by sub-proof #345.
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | Case 2:
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | |   (61)  all_24_13 = e21 & op2(e21, e23) = e21
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | ALPHA: (61) implies:
% 242.12/47.74  | | | | | | | |   (62)  all_24_13 = e21
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | REF_CLOSE: (18), (24), (62) are inconsistent by sub-proof #838.
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | End of split
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | Case 2:
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | |   (63)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21
% 242.12/47.74  | | | | | | |           & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21,
% 242.12/47.74  | | | | | | |             e20) = e21)
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | | BETA: splitting (63) gives:
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | | Case 1:
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | |   (64)  all_24_14 = e21 & op2(e21, e22) = e21
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | REF_CLOSE: (29), (51), (64) are inconsistent by sub-proof #850.
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | Case 2:
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | |   (65)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 =
% 242.12/47.74  | | | | | | | |           e21 & op2(e21, e20) = e21)
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | BETA: splitting (65) gives:
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | | Case 1:
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | |   (66)  all_24_15 = e21 & op2(e21, e21) = e21
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (11), (15), (17), (18), (22),
% 242.12/47.74  | | | | | | | | |            (30), (32), (34), (35), (39), (40), (42), (66) are
% 242.12/47.74  | | | | | | | | |            inconsistent by sub-proof #551.
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | Case 2:
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | |   (67)  all_24_19 = e21 & op2(e21, e20) = e21
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | | ALPHA: (67) implies:
% 242.12/47.74  | | | | | | | | |   (68)  all_24_19 = e21
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (10), (11), (12), (15), (17),
% 242.12/47.74  | | | | | | | | |            (18), (19), (22), (27), (30), (34), (35), (39),
% 242.12/47.74  | | | | | | | | |            (41), (42), (58), (68) are inconsistent by
% 242.12/47.74  | | | | | | | | |            sub-proof #685.
% 242.12/47.74  | | | | | | | | | 
% 242.12/47.74  | | | | | | | | End of split
% 242.12/47.74  | | | | | | | | 
% 242.12/47.74  | | | | | | | End of split
% 242.12/47.74  | | | | | | | 
% 242.12/47.74  | | | | | | End of split
% 242.12/47.74  | | | | | | 
% 242.12/47.74  | | | | | End of split
% 242.12/47.74  | | | | | 
% 242.12/47.74  | | | | End of split
% 242.12/47.74  | | | | 
% 242.12/47.74  | | | End of split
% 242.12/47.74  | | | 
% 242.12/47.74  | | Case 2:
% 242.12/47.74  | | | 
% 242.12/47.74  | | |   (69)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 242.12/47.74  | | |           op2(e21, e20) = e20)
% 242.12/47.74  | | | 
% 242.12/47.74  | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (15), (16), (17),
% 242.12/47.74  | | |            (18), (19), (22), (25), (29), (30), (32), (34), (35), (36),
% 242.12/47.74  | | |            (39), (40), (42), (69) are inconsistent by sub-proof #257.
% 242.12/47.74  | | | 
% 242.12/47.74  | | End of split
% 242.12/47.74  | | 
% 242.12/47.74  | End of split
% 242.12/47.74  | 
% 242.12/47.74  End of proof
% 242.12/47.74  
% 242.12/47.74  Sub-proof #256 shows that the following formulas are inconsistent:
% 242.12/47.74  ----------------------------------------------------------------
% 242.12/47.74    (1)  op2(e24, e22) = all_16_10
% 242.12/47.74    (2)   ~ (all_16_10 = e20)
% 242.12/47.74    (3)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.12/47.74           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.12/47.74           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.12/47.74    (4)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.12/47.74             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 242.12/47.74           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.12/47.74    (5)  op2(e22, unit2) = e22
% 242.12/47.74    (6)  op2(e23, unit2) = e23
% 242.12/47.74    (7)   ~ (e24 = e20)
% 242.12/47.74    (8)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.12/47.74             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.12/47.74           e20 & op2(e21, e20) = e20)
% 242.12/47.74    (9)   ~ (e23 = e21)
% 242.12/47.74    (10)  all_24_6 = e23
% 242.12/47.74    (11)  op2(e23, e21) = e24
% 242.12/47.74    (12)   ~ (all_16_1 = e21)
% 242.12/47.74    (13)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.12/47.74            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.12/47.74            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.12/47.74    (14)  op2(e23, e23) = e21
% 242.12/47.74    (15)  all_24_2 = e22
% 242.12/47.74    (16)   ~ (e23 = e22)
% 242.12/47.74    (17)   ~ (e22 = e20)
% 242.12/47.74    (18)   ~ (all_16_3 = e22)
% 242.12/47.74    (19)  op2(e21, e23) = all_16_8
% 242.12/47.74    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.12/47.74            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.12/47.74    (21)  op2(e23, e24) = e22
% 242.12/47.74    (22)  all_24_21 = e23
% 242.12/47.74    (23)   ~ (e23 = e20)
% 242.12/47.74    (24)  op2(e24, e23) = e22
% 242.12/47.74    (25)   ~ (e24 = e21)
% 242.12/47.74    (26)  op2(e20, e22) = all_16_14
% 242.12/47.75    (27)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 242.12/47.75              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 242.12/47.75            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.12/47.75    (28)   ~ (e22 = e21)
% 242.12/47.75    (29)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 242.12/47.75            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 242.12/47.75            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 242.12/47.75    (30)   ~ (all_16_1 = e20)
% 242.12/47.75    (31)  op2(e24, unit2) = e24
% 242.12/47.75    (32)  op2(e23, e22) = e20
% 242.12/47.75    (33)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.12/47.75              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.12/47.75            e20 & op2(e20, e21) = e20)
% 242.12/47.75    (34)   ~ (all_16_1 = e23)
% 242.12/47.75    (35)  all_24_13 = e24
% 242.12/47.75    (36)   ~ (all_16_14 = e20)
% 242.12/47.75    (37)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 242.12/47.75              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 242.12/47.75            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 242.12/47.75    (38)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.12/47.75    (39)  all_24_0 = e24
% 242.12/47.75    (40)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 242.12/47.75              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 242.12/47.75            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 242.12/47.75    (41)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.12/47.75            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.12/47.75            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.12/47.75    (42)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.12/47.75    (43)   ~ (e21 = e20)
% 242.12/47.75    (44)   ~ (e24 = e22)
% 242.12/47.75    (45)  op2(e21, e24) = all_16_3
% 242.12/47.75    (46)  all_24_17 = e23
% 242.12/47.75    (47)  op2(e23, e24) = all_16_1
% 242.12/47.75    (48)   ~ (e24 = e23)
% 242.12/47.75    (49)  op2(e23, e21) = all_10_1
% 242.12/47.75    (50)  op2(e21, unit2) = e21
% 242.12/47.75    (51)   ~ (all_16_8 = e22)
% 242.12/47.75    (52)  all_20_5 = all_16_1
% 242.12/47.75    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.12/47.75            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.12/47.75            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.12/47.75    (54)  all_24_15 = e23
% 242.12/47.75    (55)  all_24_5 = e20
% 242.12/47.75    (56)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.12/47.75            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.12/47.75            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.12/47.75  
% 242.12/47.75  Begin of proof
% 242.12/47.75  | 
% 242.12/47.75  | BETA: splitting (40) gives:
% 242.12/47.75  | 
% 242.12/47.75  | Case 1:
% 242.12/47.75  | | 
% 242.12/47.75  | |   (57)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 242.12/47.75  | |           op2(e21, e23) = e20)
% 242.12/47.75  | | 
% 242.12/47.75  | | BETA: splitting (57) gives:
% 242.12/47.75  | | 
% 242.12/47.75  | | Case 1:
% 242.12/47.75  | | | 
% 242.12/47.75  | | |   (58)  all_24_12 = e20 & op2(e21, e24) = e20
% 242.12/47.75  | | | 
% 242.12/47.75  | | | ALPHA: (58) implies:
% 242.12/47.75  | | |   (59)  all_24_12 = e20
% 242.12/47.75  | | | 
% 242.12/47.75  | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (14),
% 242.12/47.75  | | |            (15), (16), (17), (20), (21), (22), (23), (24), (25), (26),
% 242.12/47.75  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (36), (37),
% 242.12/47.75  | | |            (38), (39), (41), (42), (43), (44), (46), (47), (48), (49),
% 242.12/47.75  | | |            (52), (53), (54), (55), (56), (59) are inconsistent by
% 242.12/47.75  | | |            sub-proof #261.
% 242.12/47.75  | | | 
% 242.12/47.75  | | Case 2:
% 242.12/47.75  | | | 
% 242.12/47.75  | | |   (60)  all_24_13 = e20 & op2(e21, e23) = e20
% 242.12/47.75  | | | 
% 242.12/47.75  | | | REF_CLOSE: (7), (35), (60) are inconsistent by sub-proof #867.
% 242.12/47.75  | | | 
% 242.12/47.75  | | End of split
% 242.12/47.75  | | 
% 242.12/47.75  | Case 2:
% 242.12/47.75  | | 
% 242.12/47.75  | |   (61)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 &
% 242.12/47.75  | |           op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 242.12/47.75  | | 
% 242.12/47.75  | | BETA: splitting (61) gives:
% 242.12/47.75  | | 
% 242.12/47.75  | | Case 1:
% 242.12/47.75  | | | 
% 242.12/47.75  | | |   (62)  all_24_14 = e20 & op2(e21, e22) = e20
% 242.12/47.75  | | | 
% 242.12/47.75  | | | ALPHA: (62) implies:
% 242.12/47.75  | | |   (63)  all_24_14 = e20
% 242.12/47.75  | | | 
% 242.12/47.75  | | | BETA: splitting (4) gives:
% 242.12/47.75  | | | 
% 242.12/47.75  | | | Case 1:
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | |   (64)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 242.12/47.75  | | | |           op2(e21, e23) = e22)
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | | REF_CLOSE: (18), (19), (20), (45), (51), (64) are inconsistent by
% 242.12/47.75  | | | |            sub-proof #699.
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | Case 2:
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | |   (65)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 242.12/47.75  | | | |           op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | | BETA: splitting (65) gives:
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | | Case 1:
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | |   (66)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | | REF_CLOSE: (7), (9), (11), (13), (14), (15), (16), (17), (20), (23),
% 242.12/47.75  | | | | |            (25), (28), (32), (41), (43), (44), (48), (49), (53), (56),
% 242.12/47.75  | | | | |            (63), (66) are inconsistent by sub-proof #853.
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | Case 2:
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | |   (67)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 242.12/47.75  | | | | |           op2(e21, e20) = e22)
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | | BETA: splitting (67) gives:
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | | Case 1:
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | |   (68)  all_24_15 = e22 & op2(e21, e21) = e22
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | | REF_CLOSE: (9), (11), (12), (14), (16), (20), (23), (30), (32),
% 242.12/47.75  | | | | | |            (34), (42), (46), (47), (48), (49), (52), (54), (56),
% 242.12/47.75  | | | | | |            (68) are inconsistent by sub-proof #548.
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | Case 2:
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | |   (69)  all_24_19 = e22 & op2(e21, e20) = e22
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | | ALPHA: (69) implies:
% 242.12/47.75  | | | | | |   (70)  op2(e21, e20) = e22
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (11), (13), (14), (15), (16),
% 242.12/47.75  | | | | | |            (20), (21), (23), (25), (28), (31), (32), (38), (43),
% 242.12/47.75  | | | | | |            (44), (48), (49), (50), (53), (56), (70) are inconsistent
% 242.12/47.75  | | | | | |            by sub-proof #277.
% 242.12/47.75  | | | | | | 
% 242.12/47.75  | | | | | End of split
% 242.12/47.75  | | | | | 
% 242.12/47.75  | | | | End of split
% 242.12/47.75  | | | | 
% 242.12/47.75  | | | End of split
% 242.12/47.75  | | | 
% 242.12/47.75  | | Case 2:
% 242.12/47.75  | | | 
% 242.12/47.75  | | |   (71)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 242.12/47.75  | | |           op2(e21, e20) = e20)
% 242.12/47.75  | | | 
% 242.12/47.75  | | | REF_CLOSE: (6), (7), (9), (11), (13), (14), (15), (16), (20), (21), (23),
% 242.12/47.75  | | |            (25), (28), (32), (38), (43), (44), (46), (48), (49), (50),
% 242.12/47.75  | | |            (53), (54), (56), (71) are inconsistent by sub-proof #257.
% 242.12/47.75  | | | 
% 242.12/47.75  | | End of split
% 242.12/47.75  | | 
% 242.12/47.75  | End of split
% 242.12/47.75  | 
% 242.12/47.75  End of proof
% 242.12/47.75  
% 242.12/47.75  Sub-proof #257 shows that the following formulas are inconsistent:
% 242.12/47.75  ----------------------------------------------------------------
% 242.12/47.75    (1)  op2(e23, unit2) = e23
% 242.12/47.75    (2)   ~ (e24 = e20)
% 242.12/47.75    (3)   ~ (e23 = e21)
% 242.12/47.75    (4)  op2(e23, e21) = e24
% 242.12/47.75    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.12/47.75           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.12/47.75           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.12/47.75    (6)  op2(e23, e23) = e21
% 242.12/47.75    (7)  all_24_2 = e22
% 242.12/47.75    (8)   ~ (e23 = e22)
% 242.12/47.75    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.12/47.75           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.12/47.75    (10)  op2(e23, e24) = e22
% 242.12/47.75    (11)   ~ (e23 = e20)
% 242.12/47.75    (12)   ~ (e24 = e21)
% 242.12/47.75    (13)   ~ (e22 = e21)
% 242.12/47.75    (14)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21,
% 242.12/47.75              e20) = e20)
% 242.12/47.75    (15)  op2(e23, e22) = e20
% 242.23/47.75    (16)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.75    (17)   ~ (e21 = e20)
% 242.23/47.75    (18)   ~ (e24 = e22)
% 242.23/47.75    (19)  all_24_17 = e23
% 242.23/47.75    (20)   ~ (e24 = e23)
% 242.23/47.75    (21)  op2(e23, e21) = all_10_1
% 242.23/47.75    (22)  op2(e21, unit2) = e21
% 242.23/47.75    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.75            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.75            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.75    (24)  all_24_15 = e23
% 242.23/47.75    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.75            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.75            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.75  
% 242.23/47.75  Begin of proof
% 242.23/47.75  | 
% 242.23/47.75  | BETA: splitting (14) gives:
% 242.23/47.75  | 
% 242.23/47.75  | Case 1:
% 242.23/47.75  | | 
% 242.23/47.75  | |   (26)  all_24_15 = e20 & op2(e21, e21) = e20
% 242.23/47.75  | | 
% 242.23/47.75  | | ALPHA: (26) implies:
% 242.23/47.75  | |   (27)  all_24_15 = e20
% 242.23/47.75  | | 
% 242.23/47.75  | | COMBINE_EQS: (24), (27) imply:
% 242.23/47.75  | |   (28)  e23 = e20
% 242.23/47.75  | | 
% 242.23/47.75  | | COMBINE_EQS: (19), (28) imply:
% 242.23/47.75  | |   (29)  all_24_17 = e20
% 242.23/47.75  | | 
% 242.23/47.75  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (15),
% 242.23/47.75  | |            (17), (18), (20), (21), (23), (25), (29) are inconsistent by
% 242.23/47.75  | |            sub-proof #888.
% 242.23/47.75  | | 
% 242.23/47.75  | Case 2:
% 242.23/47.75  | | 
% 242.23/47.75  | |   (30)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.23/47.75  | | 
% 242.23/47.75  | | REF_CLOSE: (1), (4), (8), (9), (10), (11), (15), (16), (20), (21), (22),
% 242.23/47.75  | |            (30) are inconsistent by sub-proof #278.
% 242.23/47.75  | | 
% 242.23/47.75  | End of split
% 242.23/47.75  | 
% 242.23/47.75  End of proof
% 242.23/47.75  
% 242.23/47.75  Sub-proof #258 shows that the following formulas are inconsistent:
% 242.23/47.75  ----------------------------------------------------------------
% 242.23/47.75    (1)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 242.23/47.75             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 242.23/47.75           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.75    (2)  op2(e22, unit2) = e22
% 242.23/47.75    (3)  op2(e23, unit2) = e23
% 242.23/47.75    (4)   ~ (e24 = e20)
% 242.23/47.75    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.75             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.75           e20 & op2(e21, e20) = e20)
% 242.23/47.75    (6)   ~ (e23 = e21)
% 242.23/47.75    (7)  op2(e23, e21) = e24
% 242.23/47.75    (8)   ~ (all_16_1 = e21)
% 242.23/47.75    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.75           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.75           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.75    (10)  op2(e23, e23) = e21
% 242.23/47.75    (11)  all_24_2 = e22
% 242.23/47.75    (12)   ~ (e23 = e22)
% 242.23/47.75    (13)   ~ (e22 = e20)
% 242.23/47.75    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.75            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.75    (15)  op2(e23, e24) = e22
% 242.23/47.75    (16)   ~ (e23 = e20)
% 242.23/47.75    (17)   ~ (e24 = e21)
% 242.23/47.75    (18)   ~ (e22 = e21)
% 242.23/47.75    (19)   ~ (all_16_1 = e20)
% 242.23/47.75    (20)  op2(e24, unit2) = e24
% 242.23/47.75    (21)  op2(e23, e22) = e20
% 242.23/47.75    (22)   ~ (all_16_1 = e23)
% 242.23/47.75    (23)   ~ (all_16_20 = e22)
% 242.23/47.75    (24)  op2(e24, e20) = all_16_20
% 242.23/47.75    (25)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.75    (26)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.75            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.75            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.75    (27)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.75    (28)   ~ (e21 = e20)
% 242.23/47.75    (29)   ~ (e24 = e22)
% 242.23/47.75    (30)  op2(e20, e20) = all_8_2
% 242.23/47.75    (31)  op2(e23, e24) = all_16_1
% 242.23/47.75    (32)   ~ (e24 = e23)
% 242.23/47.75    (33)  op2(e23, e21) = all_10_1
% 242.23/47.75    (34)   ~ (all_8_2 = e22)
% 242.23/47.75    (35)  op2(e21, unit2) = e21
% 242.23/47.75    (36)  all_20_5 = all_16_1
% 242.23/47.75    (37)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.75            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.75            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.76    (38)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.76  
% 242.23/47.76  Begin of proof
% 242.23/47.76  | 
% 242.23/47.76  | BETA: splitting (5) gives:
% 242.23/47.76  | 
% 242.23/47.76  | Case 1:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (39)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 242.23/47.76  | |           op2(e23, e20) = e20)
% 242.23/47.76  | | 
% 242.23/47.76  | | REF_CLOSE: (3), (4), (6), (7), (9), (10), (11), (12), (14), (15), (16),
% 242.23/47.76  | |            (17), (18), (20), (21), (25), (28), (29), (32), (33), (37), (38),
% 242.23/47.76  | |            (39) are inconsistent by sub-proof #279.
% 242.23/47.76  | | 
% 242.23/47.76  | Case 2:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (40)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 242.23/47.76  | |           op2(e21, e20) = e20)
% 242.23/47.76  | | 
% 242.23/47.76  | | BETA: splitting (40) gives:
% 242.23/47.76  | | 
% 242.23/47.76  | | Case 1:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (41)  all_24_18 = e20 & op2(e22, e20) = e20
% 242.23/47.76  | | | 
% 242.23/47.76  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 242.23/47.76  | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 242.23/47.76  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 242.23/47.76  | | |            (35), (36), (37), (38), (41) are inconsistent by sub-proof
% 242.23/47.76  | | |            #337.
% 242.23/47.76  | | | 
% 242.23/47.76  | | Case 2:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (42)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.23/47.76  | | | 
% 242.23/47.76  | | | REF_CLOSE: (3), (7), (12), (14), (15), (16), (21), (25), (32), (33), (35),
% 242.23/47.76  | | |            (42) are inconsistent by sub-proof #278.
% 242.23/47.76  | | | 
% 242.23/47.76  | | End of split
% 242.23/47.76  | | 
% 242.23/47.76  | End of split
% 242.23/47.76  | 
% 242.23/47.76  End of proof
% 242.23/47.76  
% 242.23/47.76  Sub-proof #259 shows that the following formulas are inconsistent:
% 242.23/47.76  ----------------------------------------------------------------
% 242.23/47.76    (1)  op2(unit2, e24) = e24
% 242.23/47.76    (2)  op2(e23, unit2) = e23
% 242.23/47.76    (3)   ~ (all_16_19 = e20)
% 242.23/47.76    (4)   ~ (e23 = e22)
% 242.23/47.76    (5)  op2(e20, unit2) = e20
% 242.23/47.76    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.76           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.76    (7)  op2(e23, e24) = e22
% 242.23/47.76    (8)  op2(e20, e22) = all_16_14
% 242.23/47.76    (9)   ~ (all_16_14 = e20)
% 242.23/47.76    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.76    (11)  op2(e20, e22) = e24
% 242.23/47.76    (12)  op2(e20, e24) = e20
% 242.23/47.76    (13)  op2(unit2, e22) = e22
% 242.23/47.76    (14)  op2(e20, e21) = all_16_19
% 242.23/47.76  
% 242.23/47.76  Begin of proof
% 242.23/47.76  | 
% 242.23/47.76  | BETA: splitting (10) gives:
% 242.23/47.76  | 
% 242.23/47.76  | Case 1:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (15)  unit2 = e24
% 242.23/47.76  | | 
% 242.23/47.76  | | REDUCE: (2), (15) imply:
% 242.23/47.76  | |   (16)  op2(e23, e24) = e23
% 242.23/47.76  | | 
% 242.23/47.76  | | REF_CLOSE: (4), (6), (7), (16) are inconsistent by sub-proof #965.
% 242.23/47.76  | | 
% 242.23/47.76  | Case 2:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.76  | | 
% 242.23/47.76  | | BETA: splitting (17) gives:
% 242.23/47.76  | | 
% 242.23/47.76  | | Case 1:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (18)  unit2 = e22
% 242.23/47.76  | | | 
% 242.23/47.76  | | | REDUCE: (5), (18) imply:
% 242.23/47.76  | | |   (19)  op2(e20, e22) = e20
% 242.23/47.76  | | | 
% 242.23/47.76  | | | REF_CLOSE: (6), (8), (9), (19) are inconsistent by sub-proof #961.
% 242.23/47.76  | | | 
% 242.23/47.76  | | Case 2:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (20)   ~ (unit2 = e22)
% 242.23/47.76  | | |   (21)  unit2 = e21 | unit2 = e20
% 242.23/47.76  | | | 
% 242.23/47.76  | | | BETA: splitting (21) gives:
% 242.23/47.76  | | | 
% 242.23/47.76  | | | Case 1:
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | |   (22)  unit2 = e21
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REDUCE: (5), (22) imply:
% 242.23/47.76  | | | |   (23)  op2(e20, e21) = e20
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REF_CLOSE: (3), (6), (14), (23) are inconsistent by sub-proof #960.
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | Case 2:
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | |   (24)  unit2 = e20
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REDUCE: (20), (24) imply:
% 242.23/47.76  | | | |   (25)   ~ (e22 = e20)
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | SIMP: (25) implies:
% 242.23/47.76  | | | |   (26)   ~ (e22 = e20)
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REDUCE: (1), (24) imply:
% 242.23/47.76  | | | |   (27)  op2(e20, e24) = e24
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REDUCE: (13), (24) imply:
% 242.23/47.76  | | | |   (28)  op2(e20, e22) = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REF_CLOSE: (6), (11), (12), (26), (27), (28) are inconsistent by
% 242.23/47.76  | | | |            sub-proof #773.
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | End of split
% 242.23/47.76  | | | 
% 242.23/47.76  | | End of split
% 242.23/47.76  | | 
% 242.23/47.76  | End of split
% 242.23/47.76  | 
% 242.23/47.76  End of proof
% 242.23/47.76  
% 242.23/47.76  Sub-proof #260 shows that the following formulas are inconsistent:
% 242.23/47.76  ----------------------------------------------------------------
% 242.23/47.76    (1)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 242.23/47.76             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 242.23/47.76           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.76    (2)  op2(e22, unit2) = e22
% 242.23/47.76    (3)  op2(e23, unit2) = e23
% 242.23/47.76    (4)   ~ (e24 = e20)
% 242.23/47.76    (5)   ~ (e23 = e21)
% 242.23/47.76    (6)  op2(e23, e21) = e24
% 242.23/47.76    (7)   ~ (all_16_1 = e21)
% 242.23/47.76    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.76           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.76           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.76    (9)  op2(e23, e23) = e21
% 242.23/47.76    (10)  all_24_2 = e22
% 242.23/47.76    (11)   ~ (e23 = e22)
% 242.23/47.76    (12)   ~ (e22 = e20)
% 242.23/47.76    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.76            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.76    (14)  all_24_7 = e24
% 242.23/47.76    (15)  op2(e23, e24) = e22
% 242.23/47.76    (16)  all_24_21 = e23
% 242.23/47.76    (17)   ~ (e23 = e20)
% 242.23/47.76    (18)  op2(e24, e23) = e22
% 242.23/47.76    (19)   ~ (e24 = e21)
% 242.23/47.76    (20)   ~ (e22 = e21)
% 242.23/47.76    (21)   ~ (all_16_1 = e20)
% 242.23/47.76    (22)  op2(e23, e22) = e20
% 242.23/47.76    (23)   ~ (all_16_1 = e23)
% 242.23/47.76    (24)  op2(e22, e20) = e20
% 242.23/47.76    (25)   ~ (all_16_20 = e22)
% 242.23/47.76    (26)  op2(e24, e20) = all_16_20
% 242.23/47.76    (27)  all_24_1 = e22
% 242.23/47.76    (28)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.76    (29)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.76            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.76            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.76    (30)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.76            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.76            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.76    (31)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.76    (32)   ~ (e21 = e20)
% 242.23/47.76    (33)   ~ (e24 = e22)
% 242.23/47.76    (34)  all_24_17 = e23
% 242.23/47.76    (35)  op2(e23, e24) = all_16_1
% 242.23/47.76    (36)   ~ (e24 = e23)
% 242.23/47.76    (37)  op2(e23, e21) = all_10_1
% 242.23/47.76    (38)  all_24_18 = e20
% 242.23/47.76    (39)  op2(e21, unit2) = e21
% 242.23/47.76    (40)  all_20_5 = all_16_1
% 242.23/47.76    (41)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.76            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.76            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.76    (42)  all_24_24 = e24
% 242.23/47.76    (43)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.76            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.76            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.76    (44)  all_24_3 = e21
% 242.23/47.76    (45)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.76  
% 242.23/47.76  Begin of proof
% 242.23/47.76  | 
% 242.23/47.76  | BETA: splitting (1) gives:
% 242.23/47.76  | 
% 242.23/47.76  | Case 1:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (46)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 242.23/47.76  | |           op2(e23, e20) = e22)
% 242.23/47.76  | | 
% 242.23/47.76  | | REF_CLOSE: (5), (6), (7), (9), (11), (13), (17), (21), (22), (23), (25),
% 242.23/47.76  | |            (26), (31), (35), (36), (37), (40), (45), (46) are inconsistent
% 242.23/47.76  | |            by sub-proof #805.
% 242.23/47.76  | | 
% 242.23/47.76  | Case 2:
% 242.23/47.76  | | 
% 242.23/47.76  | |   (47)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 242.23/47.76  | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.76  | | 
% 242.23/47.76  | | BETA: splitting (47) gives:
% 242.23/47.76  | | 
% 242.23/47.76  | | Case 1:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (48)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.23/47.76  | | | 
% 242.23/47.76  | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (12), (13), (17), (19),
% 242.23/47.76  | | |            (20), (22), (30), (32), (33), (36), (37), (38), (41), (45),
% 242.23/47.76  | | |            (48) are inconsistent by sub-proof #553.
% 242.23/47.76  | | | 
% 242.23/47.76  | | Case 2:
% 242.23/47.76  | | | 
% 242.23/47.76  | | |   (49)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 242.23/47.76  | | |           op2(e20, e20) = e22)
% 242.23/47.76  | | | 
% 242.23/47.76  | | | BETA: splitting (49) gives:
% 242.23/47.76  | | | 
% 242.23/47.76  | | | Case 1:
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | |   (50)  all_24_19 = e22 & op2(e21, e20) = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | ALPHA: (50) implies:
% 242.23/47.76  | | | |   (51)  op2(e21, e20) = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REF_CLOSE: (2), (3), (6), (11), (13), (15), (17), (22), (24), (28),
% 242.23/47.76  | | | |            (36), (37), (39), (51) are inconsistent by sub-proof #536.
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | Case 2:
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | |   (52)  all_24_24 = e22 & op2(e20, e20) = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | ALPHA: (52) implies:
% 242.23/47.76  | | | |   (53)  all_24_24 = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | COMBINE_EQS: (42), (53) imply:
% 242.23/47.76  | | | |   (54)  e24 = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | SIMP: (54) implies:
% 242.23/47.76  | | | |   (55)  e24 = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | COMBINE_EQS: (14), (55) imply:
% 242.23/47.76  | | | |   (56)  all_24_7 = e22
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (12), (13), (16), (17),
% 242.23/47.76  | | | |            (18), (19), (20), (22), (27), (29), (30), (32), (33), (34),
% 242.23/47.76  | | | |            (36), (37), (41), (43), (44), (45), (56) are inconsistent by
% 242.23/47.76  | | | |            sub-proof #812.
% 242.23/47.76  | | | | 
% 242.23/47.76  | | | End of split
% 242.23/47.76  | | | 
% 242.23/47.76  | | End of split
% 242.23/47.76  | | 
% 242.23/47.76  | End of split
% 242.23/47.76  | 
% 242.23/47.76  End of proof
% 242.23/47.76  
% 242.23/47.76  Sub-proof #261 shows that the following formulas are inconsistent:
% 242.23/47.76  ----------------------------------------------------------------
% 242.23/47.76    (1)  op2(e24, e22) = all_16_10
% 242.23/47.76    (2)   ~ (all_16_10 = e20)
% 242.23/47.76    (3)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.23/47.76           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.23/47.76           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.23/47.76    (4)  op2(e23, unit2) = e23
% 242.23/47.76    (5)   ~ (e24 = e20)
% 242.23/47.76    (6)   ~ (e23 = e21)
% 242.23/47.76    (7)  all_24_6 = e23
% 242.23/47.76    (8)  op2(e23, e21) = e24
% 242.23/47.76    (9)   ~ (all_16_1 = e21)
% 242.23/47.76    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.76            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.76            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.76    (11)  op2(e23, e23) = e21
% 242.23/47.76    (12)  all_24_2 = e22
% 242.23/47.76    (13)   ~ (e23 = e22)
% 242.23/47.76    (14)   ~ (e22 = e20)
% 242.23/47.76    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.76            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.76    (16)  op2(e23, e24) = e22
% 242.23/47.76    (17)  all_24_21 = e23
% 242.23/47.76    (18)   ~ (e23 = e20)
% 242.23/47.76    (19)  op2(e24, e23) = e22
% 242.23/47.76    (20)   ~ (e24 = e21)
% 242.23/47.76    (21)  op2(e20, e22) = all_16_14
% 242.23/47.76    (22)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 242.23/47.76              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 242.23/47.76            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.23/47.76    (23)   ~ (e22 = e21)
% 242.23/47.76    (24)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 242.23/47.76            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 242.23/47.76            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 242.23/47.76    (25)   ~ (all_16_1 = e20)
% 242.23/47.76    (26)  all_24_12 = e20
% 242.23/47.76    (27)  op2(e24, unit2) = e24
% 242.23/47.76    (28)  op2(e23, e22) = e20
% 242.23/47.76    (29)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.23/47.76              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.23/47.76            e20 & op2(e20, e21) = e20)
% 242.23/47.76    (30)   ~ (all_16_1 = e23)
% 242.23/47.76    (31)   ~ (all_16_14 = e20)
% 242.23/47.77    (32)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 242.23/47.77              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 242.23/47.77            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 242.23/47.77    (33)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.77    (34)  all_24_0 = e24
% 242.23/47.77    (35)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.77            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.77            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.77    (36)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.77    (37)   ~ (e21 = e20)
% 242.23/47.77    (38)   ~ (e24 = e22)
% 242.23/47.77    (39)  all_24_17 = e23
% 242.23/47.77    (40)  op2(e23, e24) = all_16_1
% 242.23/47.77    (41)   ~ (e24 = e23)
% 242.23/47.77    (42)  op2(e23, e21) = all_10_1
% 242.23/47.77    (43)  all_20_5 = all_16_1
% 242.23/47.77    (44)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.77            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.77            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.77    (45)  all_24_15 = e23
% 242.23/47.77    (46)  all_24_5 = e20
% 242.23/47.77    (47)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.77            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.77            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.77  
% 242.23/47.77  Begin of proof
% 242.23/47.77  | 
% 242.23/47.77  | BETA: splitting (3) gives:
% 242.23/47.77  | 
% 242.23/47.77  | Case 1:
% 242.23/47.77  | | 
% 242.23/47.77  | |   (48)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 242.23/47.77  | |             e24) = e21)
% 242.23/47.77  | | 
% 242.23/47.77  | | REF_CLOSE: (5), (6), (8), (11), (13), (14), (15), (18), (20), (23), (28),
% 242.23/47.77  | |            (34), (35), (38), (41), (42), (44), (46), (47), (48) are
% 242.23/47.77  | |            inconsistent by sub-proof #665.
% 242.23/47.77  | | 
% 242.23/47.77  | Case 2:
% 242.23/47.77  | | 
% 242.23/47.77  | |   (49)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 242.23/47.77  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.23/47.77  | | 
% 242.23/47.77  | | BETA: splitting (49) gives:
% 242.23/47.77  | | 
% 242.23/47.77  | | Case 1:
% 242.23/47.77  | | | 
% 242.23/47.77  | | |   (50)  all_24_6 = e21 & op2(e22, e24) = e21
% 242.23/47.77  | | | 
% 242.23/47.77  | | | REF_CLOSE: (6), (7), (8), (11), (12), (13), (15), (18), (20), (28), (38),
% 242.23/47.77  | | |            (39), (41), (42), (44), (47), (50) are inconsistent by
% 242.23/47.77  | | |            sub-proof #704.
% 242.23/47.77  | | | 
% 242.23/47.77  | | Case 2:
% 242.23/47.77  | | | 
% 242.23/47.77  | | |   (51)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 242.23/47.77  | | |           op2(e20, e24) = e21)
% 242.23/47.77  | | | 
% 242.23/47.77  | | | BETA: splitting (51) gives:
% 242.23/47.77  | | | 
% 242.23/47.77  | | | Case 1:
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | |   (52)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | ALPHA: (52) implies:
% 242.23/47.77  | | | |   (53)  all_24_12 = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | REF_CLOSE: (26), (37), (53) are inconsistent by sub-proof #703.
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | Case 2:
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | |   (54)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | ALPHA: (54) implies:
% 242.23/47.77  | | | |   (55)  all_24_20 = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | BETA: splitting (29) gives:
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | Case 1:
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | |   (56)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 242.23/47.77  | | | | |           op2(e20, e23) = e20)
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | | BETA: splitting (56) gives:
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | | Case 1:
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | |   (57)  all_24_20 = e20 & op2(e20, e24) = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | ALPHA: (57) implies:
% 242.23/47.77  | | | | | |   (58)  all_24_20 = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (11), (12), (13), (14), (15),
% 242.23/47.77  | | | | | |            (18), (20), (23), (26), (28), (34), (35), (37), (38),
% 242.23/47.77  | | | | | |            (39), (41), (42), (44), (46), (47), (58) are inconsistent
% 242.23/47.77  | | | | | |            by sub-proof #262.
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | Case 2:
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | |   (59)  all_24_21 = e20 & op2(e20, e23) = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | ALPHA: (59) implies:
% 242.23/47.77  | | | | | |   (60)  all_24_21 = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | COMBINE_EQS: (17), (60) imply:
% 242.23/47.77  | | | | | |   (61)  e23 = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | REF_CLOSE: (5), (6), (8), (10), (11), (12), (13), (15), (18), (20),
% 242.23/47.77  | | | | | |            (23), (28), (37), (38), (39), (41), (42), (44), (47),
% 242.23/47.77  | | | | | |            (61) are inconsistent by sub-proof #833.
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | End of split
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | Case 2:
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | |   (62)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 242.23/47.77  | | | | |           op2(e20, e21) = e20)
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | | BETA: splitting (62) gives:
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | | Case 1:
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | |   (63)  all_24_22 = e20 & op2(e20, e22) = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | ALPHA: (63) implies:
% 242.23/47.77  | | | | | |   (64)  op2(e20, e22) = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | REF_CLOSE: (15), (21), (31), (64) are inconsistent by sub-proof
% 242.23/47.77  | | | | | |            #961.
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | Case 2:
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | |   (65)  all_24_23 = e20 & op2(e20, e21) = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | ALPHA: (65) implies:
% 242.23/47.77  | | | | | |   (66)  all_24_23 = e20
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | BETA: splitting (32) gives:
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | | Case 1:
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | |   (67)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22
% 242.23/47.77  | | | | | | |           & op2(e23, e21) = e22)
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | | BETA: splitting (67) gives:
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | |   (68)  all_24_9 = e22 & op2(e24, e21) = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | ALPHA: (68) implies:
% 242.23/47.77  | | | | | | | |   (69)  all_24_9 = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (11), (12), (13),
% 242.23/47.77  | | | | | | | |            (14), (15), (16), (18), (19), (20), (23), (24), (27),
% 242.23/47.77  | | | | | | | |            (28), (33), (34), (35), (37), (38), (41), (42), (44),
% 242.23/47.77  | | | | | | | |            (47), (69) are inconsistent by sub-proof #562.
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | |   (70)  all_24_10 = e22 & op2(e23, e21) = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | ALPHA: (70) implies:
% 242.23/47.77  | | | | | | | |   (71)  op2(e23, e21) = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | REF_CLOSE: (8), (15), (38), (42), (71) are inconsistent by
% 242.23/47.77  | | | | | | | |            sub-proof #963.
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | End of split
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | Case 2:
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | |   (72)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22
% 242.23/47.77  | | | | | | |           & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20,
% 242.23/47.77  | | | | | | |             e21) = e22)
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | | BETA: splitting (72) gives:
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | |   (73)  all_24_11 = e22 & op2(e22, e21) = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | ALPHA: (73) implies:
% 242.23/47.77  | | | | | | | |   (74)  all_24_11 = e22
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | BETA: splitting (22) gives:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | |   (75)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 =
% 242.23/47.77  | | | | | | | | |           e21 & op2(e23, e21) = e21)
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | BETA: splitting (75) gives:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | |   (76)  all_24_9 = e21 & op2(e24, e21) = e21
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | ALPHA: (76) implies:
% 242.23/47.77  | | | | | | | | | |   (77)  all_24_9 = e21
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | BETA: splitting (24) gives:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | |   (78)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 242.23/47.77  | | | | | | | | | | |           = e20 & op2(e24, e23) = e20)
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | BETA: splitting (78) gives:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | |   (79)  all_24_0 = e20 & op2(e24, e24) = e20
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | REF_CLOSE: (5), (34), (79) are inconsistent by sub-proof
% 242.23/47.77  | | | | | | | | | | | |            #698.
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | |   (80)  all_24_1 = e20 & op2(e24, e23) = e20
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | REF_CLOSE: (14), (15), (19), (80) are inconsistent by
% 242.23/47.77  | | | | | | | | | | | |            sub-proof #911.
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | |   (81)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 242.23/47.77  | | | | | | | | | | |           = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 242.23/47.77  | | | | | | | | | | |           & op2(e24, e20) = e20)
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | BETA: splitting (81) gives:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | |   (82)  all_24_4 = e20 & op2(e24, e22) = e20
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | REF_CLOSE: (1), (2), (15), (82) are inconsistent by sub-proof
% 242.23/47.77  | | | | | | | | | | | |            #909.
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | |   (83)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 242.23/47.77  | | | | | | | | | | | |         (all_24_16 = e20 & op2(e24, e20) = e20)
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | BETA: splitting (83) gives:
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | |   (84)  all_24_9 = e20 & op2(e24, e21) = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | ALPHA: (84) implies:
% 242.23/47.77  | | | | | | | | | | | | |   (85)  all_24_9 = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | COMBINE_EQS: (77), (85) imply:
% 242.23/47.77  | | | | | | | | | | | | |   (86)  e21 = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | COMBINE_EQS: (55), (86) imply:
% 242.23/47.77  | | | | | | | | | | | | |   (87)  all_24_20 = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (11), (12), (13), (14),
% 242.23/47.77  | | | | | | | | | | | | |            (15), (18), (20), (23), (26), (28), (34), (35),
% 242.23/47.77  | | | | | | | | | | | | |            (37), (38), (39), (41), (42), (44), (46), (47),
% 242.23/47.77  | | | | | | | | | | | | |            (87) are inconsistent by sub-proof #262.
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | |   (88)  all_24_16 = e20 & op2(e24, e20) = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | ALPHA: (88) implies:
% 242.23/47.77  | | | | | | | | | | | | |   (89)  op2(e24, e20) = e20
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13), (15), (16), (18), (27), (28),
% 242.23/47.77  | | | | | | | | | | | | |            (33), (41), (42), (89) are inconsistent by
% 242.23/47.77  | | | | | | | | | | | | |            sub-proof #885.
% 242.23/47.77  | | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | |   (90)  all_24_10 = e21 & op2(e23, e21) = e21
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | REF_CLOSE: (8), (15), (20), (42), (90) are inconsistent by
% 242.23/47.77  | | | | | | | | | |            sub-proof #789.
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | |   (91)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 242.23/47.77  | | | | | | | | |           e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 242.23/47.77  | | | | | | | | |           op2(e20, e21) = e21)
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | BETA: splitting (91) gives:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | |   (92)  all_24_11 = e21 & op2(e22, e21) = e21
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | REF_CLOSE: (5), (6), (8), (11), (12), (13), (14), (15), (18),
% 242.23/47.77  | | | | | | | | | |            (20), (23), (28), (35), (38), (41), (42), (44),
% 242.23/47.77  | | | | | | | | | |            (46), (47), (74), (92) are inconsistent by
% 242.23/47.77  | | | | | | | | | |            sub-proof #689.
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | |   (93)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23
% 242.23/47.77  | | | | | | | | | |           = e21 & op2(e20, e21) = e21)
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | BETA: splitting (93) gives:
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | |   (94)  all_24_15 = e21 & op2(e21, e21) = e21
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | REF_CLOSE: (6), (8), (11), (12), (13), (15), (18), (20),
% 242.23/47.77  | | | | | | | | | | |            (28), (38), (39), (41), (42), (44), (45), (47),
% 242.23/47.77  | | | | | | | | | | |            (94) are inconsistent by sub-proof #532.
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | |   (95)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | ALPHA: (95) implies:
% 242.23/47.77  | | | | | | | | | | |   (96)  all_24_23 = e21
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | COMBINE_EQS: (66), (96) imply:
% 242.23/47.77  | | | | | | | | | | |   (97)  e21 = e20
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | COMBINE_EQS: (55), (97) imply:
% 242.23/47.77  | | | | | | | | | | |   (98)  all_24_20 = e20
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (11), (12), (13), (14),
% 242.23/47.77  | | | | | | | | | | |            (15), (18), (20), (23), (26), (28), (34), (35),
% 242.23/47.77  | | | | | | | | | | |            (37), (38), (39), (41), (42), (44), (46), (47),
% 242.23/47.77  | | | | | | | | | | |            (98) are inconsistent by sub-proof #262.
% 242.23/47.77  | | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | |   (99)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 =
% 242.23/47.77  | | | | | | | |           e22 & op2(e20, e21) = e22)
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | BETA: splitting (99) gives:
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | | Case 1:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | |   (100)  all_24_15 = e22 & op2(e21, e21) = e22
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | REF_CLOSE: (6), (8), (9), (11), (13), (15), (18), (25), (28),
% 242.23/47.77  | | | | | | | | |            (30), (36), (39), (40), (41), (42), (43), (45),
% 242.23/47.77  | | | | | | | | |            (47), (100) are inconsistent by sub-proof #548.
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | Case 2:
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | |   (101)  all_24_23 = e22 & op2(e20, e21) = e22
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | | REF_CLOSE: (5), (6), (8), (10), (11), (12), (13), (14), (15),
% 242.23/47.77  | | | | | | | | |            (18), (20), (23), (28), (35), (37), (38), (41),
% 242.23/47.77  | | | | | | | | |            (42), (44), (47), (66), (101) are inconsistent by
% 242.23/47.77  | | | | | | | | |            sub-proof #370.
% 242.23/47.77  | | | | | | | | | 
% 242.23/47.77  | | | | | | | | End of split
% 242.23/47.77  | | | | | | | | 
% 242.23/47.77  | | | | | | | End of split
% 242.23/47.77  | | | | | | | 
% 242.23/47.77  | | | | | | End of split
% 242.23/47.77  | | | | | | 
% 242.23/47.77  | | | | | End of split
% 242.23/47.77  | | | | | 
% 242.23/47.77  | | | | End of split
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | End of split
% 242.23/47.77  | | | 
% 242.23/47.77  | | End of split
% 242.23/47.77  | | 
% 242.23/47.77  | End of split
% 242.23/47.77  | 
% 242.23/47.77  End of proof
% 242.23/47.77  
% 242.23/47.77  Sub-proof #262 shows that the following formulas are inconsistent:
% 242.23/47.77  ----------------------------------------------------------------
% 242.23/47.77    (1)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.23/47.77           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.23/47.77           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.23/47.77    (2)   ~ (e24 = e20)
% 242.23/47.77    (3)   ~ (e23 = e21)
% 242.23/47.77    (4)  all_24_6 = e23
% 242.23/47.77    (5)  op2(e23, e21) = e24
% 242.23/47.77    (6)  op2(e23, e23) = e21
% 242.23/47.77    (7)  all_24_2 = e22
% 242.23/47.77    (8)   ~ (e23 = e22)
% 242.23/47.77    (9)   ~ (e22 = e20)
% 242.23/47.77    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.77            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.77    (11)   ~ (e23 = e20)
% 242.23/47.77    (12)   ~ (e24 = e21)
% 242.23/47.77    (13)   ~ (e22 = e21)
% 242.23/47.77    (14)  all_24_12 = e20
% 242.23/47.77    (15)  op2(e23, e22) = e20
% 242.23/47.77    (16)  all_24_0 = e24
% 242.23/47.77    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.77            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.77            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.77    (18)   ~ (e21 = e20)
% 242.23/47.77    (19)   ~ (e24 = e22)
% 242.23/47.77    (20)  all_24_17 = e23
% 242.23/47.77    (21)   ~ (e24 = e23)
% 242.23/47.77    (22)  op2(e23, e21) = all_10_1
% 242.23/47.77    (23)  all_24_20 = e20
% 242.23/47.77    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.77            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.77            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.77    (25)  all_24_5 = e20
% 242.23/47.77    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.77            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.77            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.77  
% 242.23/47.77  Begin of proof
% 242.23/47.77  | 
% 242.23/47.77  | BETA: splitting (1) gives:
% 242.23/47.77  | 
% 242.23/47.77  | Case 1:
% 242.23/47.77  | | 
% 242.23/47.77  | |   (27)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 242.23/47.77  | |             e24) = e21)
% 242.23/47.77  | | 
% 242.23/47.77  | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (11), (12), (13), (15), (16),
% 242.23/47.77  | |            (17), (19), (21), (22), (24), (25), (26), (27) are inconsistent
% 242.23/47.77  | |            by sub-proof #665.
% 242.23/47.77  | | 
% 242.23/47.77  | Case 2:
% 242.23/47.77  | | 
% 242.23/47.77  | |   (28)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 242.23/47.77  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.23/47.77  | | 
% 242.23/47.77  | | BETA: splitting (28) gives:
% 242.23/47.77  | | 
% 242.23/47.77  | | Case 1:
% 242.23/47.77  | | | 
% 242.23/47.77  | | |   (29)  all_24_6 = e21 & op2(e22, e24) = e21
% 242.23/47.77  | | | 
% 242.23/47.77  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (15), (19),
% 242.23/47.77  | | |            (20), (21), (22), (24), (26), (29) are inconsistent by
% 242.23/47.77  | | |            sub-proof #704.
% 242.23/47.77  | | | 
% 242.23/47.77  | | Case 2:
% 242.23/47.77  | | | 
% 242.23/47.77  | | |   (30)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 242.23/47.77  | | |           op2(e20, e24) = e21)
% 242.23/47.77  | | | 
% 242.23/47.77  | | | BETA: splitting (30) gives:
% 242.23/47.77  | | | 
% 242.23/47.77  | | | Case 1:
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | |   (31)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | ALPHA: (31) implies:
% 242.23/47.77  | | | |   (32)  all_24_12 = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | REF_CLOSE: (14), (18), (32) are inconsistent by sub-proof #703.
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | Case 2:
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | |   (33)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | | REF_CLOSE: (18), (23), (33) are inconsistent by sub-proof #818.
% 242.23/47.77  | | | | 
% 242.23/47.77  | | | End of split
% 242.23/47.77  | | | 
% 242.23/47.77  | | End of split
% 242.23/47.77  | | 
% 242.23/47.77  | End of split
% 242.23/47.77  | 
% 242.23/47.77  End of proof
% 242.23/47.77  
% 242.23/47.77  Sub-proof #263 shows that the following formulas are inconsistent:
% 242.23/47.77  ----------------------------------------------------------------
% 242.23/47.78    (1)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 242.23/47.78           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 242.23/47.78           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.23/47.78    (2)  op2(e22, unit2) = e22
% 242.23/47.78    (3)  op2(e23, unit2) = e23
% 242.23/47.78    (4)   ~ (e24 = e20)
% 242.23/47.78    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.78             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.78           e20 & op2(e21, e20) = e20)
% 242.23/47.78    (6)   ~ (e23 = e21)
% 242.23/47.78    (7)  all_24_6 = e23
% 242.23/47.78    (8)  op2(e23, e21) = e24
% 242.23/47.78    (9)   ~ (all_16_1 = e21)
% 242.23/47.78    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.78            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.78            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.78    (11)  op2(e23, e23) = e21
% 242.23/47.78    (12)  all_24_2 = e22
% 242.23/47.78    (13)   ~ (e23 = e22)
% 242.23/47.78    (14)   ~ (e22 = e20)
% 242.23/47.78    (15)  op2(e21, e23) = all_16_8
% 242.23/47.78    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.78            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.78    (17)  all_24_13 = e20
% 242.23/47.78    (18)  op2(e23, e24) = e22
% 242.23/47.78    (19)  all_24_21 = e23
% 242.23/47.78    (20)   ~ (e23 = e20)
% 242.23/47.78    (21)   ~ (all_16_7 = e23)
% 242.23/47.78    (22)  op2(e24, e23) = e22
% 242.23/47.78    (23)  all_24_11 = e20
% 242.23/47.78    (24)   ~ (e24 = e21)
% 242.23/47.78    (25)   ~ (e22 = e21)
% 242.23/47.78    (26)   ~ (all_16_1 = e20)
% 242.23/47.78    (27)  op2(e24, unit2) = e24
% 242.23/47.78    (28)  op2(e23, e22) = e20
% 242.23/47.78    (29)   ~ (all_16_1 = e23)
% 242.23/47.78    (30)  all_24_1 = e22
% 242.23/47.78    (31)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.78    (32)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.78            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.78            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.78    (33)   ~ (all_16_8 = e23)
% 242.23/47.78    (34)  op2(e22, e23) = all_16_7
% 242.23/47.78    (35)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.78            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.78            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.78    (36)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.78    (37)   ~ (e21 = e20)
% 242.23/47.78    (38)   ~ (e24 = e22)
% 242.23/47.78    (39)  all_24_17 = e23
% 242.23/47.78    (40)  op2(e23, e24) = all_16_1
% 242.23/47.78    (41)   ~ (e24 = e23)
% 242.23/47.78    (42)  op2(e23, e21) = all_10_1
% 242.23/47.78    (43)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.78            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.78            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.78    (44)  op2(e21, unit2) = e21
% 242.23/47.78    (45)  all_20_5 = all_16_1
% 242.23/47.78    (46)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.78            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.78            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.78    (47)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 242.23/47.78            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 242.23/47.78            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 242.23/47.78    (48)  all_24_5 = e20
% 242.23/47.78    (49)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.78            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.78            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.78    (50)  all_24_3 = e21
% 242.23/47.78    (51)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.78            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.78            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.78  
% 242.23/47.78  Begin of proof
% 242.23/47.78  | 
% 242.23/47.78  | BETA: splitting (1) gives:
% 242.23/47.78  | 
% 242.23/47.78  | Case 1:
% 242.23/47.78  | | 
% 242.23/47.78  | |   (52)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 242.23/47.78  | |             e23) = e22)
% 242.23/47.78  | | 
% 242.23/47.78  | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 242.23/47.78  | |            (17), (20), (22), (24), (25), (26), (28), (29), (30), (32), (35),
% 242.23/47.78  | |            (36), (37), (38), (39), (40), (41), (42), (43), (45), (46), (49),
% 242.23/47.78  | |            (50), (51), (52) are inconsistent by sub-proof #555.
% 242.23/47.78  | | 
% 242.23/47.78  | Case 2:
% 242.23/47.78  | | 
% 242.23/47.78  | |   (53)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 & op2(e22,
% 242.23/47.78  | |             e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.23/47.78  | | 
% 242.23/47.78  | | BETA: splitting (53) gives:
% 242.23/47.78  | | 
% 242.23/47.78  | | Case 1:
% 242.23/47.78  | | | 
% 242.23/47.78  | | |   (54)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.23/47.78  | | | 
% 242.23/47.78  | | | ALPHA: (54) implies:
% 242.23/47.78  | | |   (55)  all_24_8 = e22
% 242.23/47.78  | | | 
% 242.23/47.78  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (12), (13), (14),
% 242.23/47.78  | | |            (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 242.23/47.78  | | |            (28), (30), (31), (32), (33), (34), (35), (37), (38), (39),
% 242.23/47.78  | | |            (41), (42), (43), (46), (47), (48), (49), (50), (51), (55) are
% 242.23/47.78  | | |            inconsistent by sub-proof #331.
% 242.23/47.78  | | | 
% 242.23/47.78  | | Case 2:
% 242.23/47.78  | | | 
% 242.23/47.78  | | |   (56)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 242.23/47.78  | | |           op2(e22, e20) = e22)
% 242.23/47.78  | | | 
% 242.23/47.78  | | | BETA: splitting (56) gives:
% 242.23/47.78  | | | 
% 242.23/47.78  | | | Case 1:
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | |   (57)  all_24_11 = e22 & op2(e22, e21) = e22
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | | ALPHA: (57) implies:
% 242.23/47.78  | | | |   (58)  all_24_11 = e22
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (13), (14), (16), (20),
% 242.23/47.78  | | | |            (23), (24), (25), (28), (35), (37), (38), (41), (42), (46),
% 242.23/47.78  | | | |            (51), (58) are inconsistent by sub-proof #786.
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | Case 2:
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | |   (59)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (11), (12), (13), (14), (16),
% 242.23/47.78  | | | |            (18), (20), (24), (25), (27), (28), (31), (35), (37), (38),
% 242.23/47.78  | | | |            (41), (42), (44), (46), (51), (59) are inconsistent by
% 242.23/47.78  | | | |            sub-proof #276.
% 242.23/47.78  | | | | 
% 242.23/47.78  | | | End of split
% 242.23/47.78  | | | 
% 242.23/47.78  | | End of split
% 242.23/47.78  | | 
% 242.23/47.78  | End of split
% 242.23/47.78  | 
% 242.23/47.78  End of proof
% 242.23/47.78  
% 242.23/47.78  Sub-proof #264 shows that the following formulas are inconsistent:
% 242.23/47.78  ----------------------------------------------------------------
% 242.23/47.78    (1)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.23/47.78             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 242.23/47.78           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.23/47.78    (2)  op2(e22, unit2) = e22
% 242.23/47.78    (3)  op2(e23, unit2) = e23
% 242.23/47.78    (4)   ~ (e24 = e20)
% 242.23/47.78    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.78             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.78           e20 & op2(e21, e20) = e20)
% 242.23/47.78    (6)   ~ (e23 = e21)
% 242.23/47.78    (7)  op2(e23, e21) = e24
% 242.23/47.78    (8)   ~ (all_16_1 = e21)
% 242.23/47.78    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.78           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.78           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.78    (10)  op2(e23, e23) = e21
% 242.23/47.78    (11)  all_24_2 = e22
% 242.23/47.78    (12)   ~ (e23 = e22)
% 242.23/47.78    (13)   ~ (all_16_3 = e22)
% 242.23/47.78    (14)  op2(e21, e23) = all_16_8
% 242.23/47.78    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.78            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.78    (16)  op2(e23, e24) = e22
% 242.23/47.78    (17)   ~ (e23 = e20)
% 242.23/47.78    (18)   ~ (e24 = e21)
% 242.23/47.78    (19)   ~ (e22 = e21)
% 242.23/47.78    (20)   ~ (all_16_1 = e20)
% 242.23/47.78    (21)  op2(e24, unit2) = e24
% 242.23/47.78    (22)  op2(e23, e22) = e20
% 242.23/47.78    (23)   ~ (all_16_1 = e23)
% 242.23/47.78    (24)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.78    (25)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.78    (26)  all_24_14 = e24
% 242.23/47.78    (27)   ~ (e21 = e20)
% 242.23/47.78    (28)   ~ (e24 = e22)
% 242.23/47.78    (29)  op2(e21, e24) = all_16_3
% 242.23/47.78    (30)  all_24_17 = e23
% 242.23/47.78    (31)  op2(e23, e24) = all_16_1
% 242.23/47.78    (32)   ~ (e24 = e23)
% 242.23/47.78    (33)  op2(e23, e21) = all_10_1
% 242.23/47.78    (34)  op2(e21, unit2) = e21
% 242.23/47.78    (35)   ~ (all_16_8 = e22)
% 242.23/47.78    (36)  all_20_5 = all_16_1
% 242.23/47.78    (37)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.78            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.78            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.78    (38)  all_24_15 = e23
% 242.23/47.78    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.78            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.78            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.78  
% 242.23/47.78  Begin of proof
% 242.23/47.78  | 
% 242.23/47.78  | BETA: splitting (1) gives:
% 242.23/47.78  | 
% 242.23/47.78  | Case 1:
% 242.23/47.78  | | 
% 242.23/47.78  | |   (40)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 242.23/47.78  | |           op2(e21, e23) = e22)
% 242.23/47.78  | | 
% 242.23/47.78  | | REF_CLOSE: (13), (14), (15), (29), (35), (40) are inconsistent by sub-proof
% 242.23/47.78  | |            #699.
% 242.23/47.78  | | 
% 242.23/47.78  | Case 2:
% 242.23/47.78  | | 
% 242.23/47.78  | |   (41)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 242.23/47.78  | |           op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.23/47.78  | | 
% 242.23/47.78  | | BETA: splitting (41) gives:
% 242.23/47.78  | | 
% 242.23/47.78  | | Case 1:
% 242.23/47.78  | | | 
% 242.23/47.78  | | |   (42)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.23/47.78  | | | 
% 242.23/47.78  | | | REF_CLOSE: (26), (28), (42) are inconsistent by sub-proof #631.
% 242.23/47.78  | | | 
% 242.23/47.78  | | Case 2:
% 242.23/47.78  | | | 
% 242.23/47.78  | | |   (43)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 242.23/47.78  | | |           op2(e21, e20) = e22)
% 242.23/47.78  | | | 
% 242.23/47.78  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15),
% 242.23/47.78  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 242.23/47.78  | | |            (27), (28), (30), (31), (32), (33), (34), (36), (37), (38),
% 242.23/47.78  | | |            (39), (43) are inconsistent by sub-proof #265.
% 242.23/47.78  | | | 
% 242.23/47.78  | | End of split
% 242.23/47.78  | | 
% 242.23/47.78  | End of split
% 242.23/47.78  | 
% 242.23/47.78  End of proof
% 242.23/47.78  
% 242.23/47.78  Sub-proof #265 shows that the following formulas are inconsistent:
% 242.23/47.78  ----------------------------------------------------------------
% 242.23/47.78    (1)  op2(e22, unit2) = e22
% 242.23/47.78    (2)  op2(e23, unit2) = e23
% 242.23/47.78    (3)   ~ (e24 = e20)
% 242.23/47.78    (4)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.78             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.78           e20 & op2(e21, e20) = e20)
% 242.23/47.78    (5)   ~ (e23 = e21)
% 242.23/47.78    (6)  op2(e23, e21) = e24
% 242.23/47.78    (7)   ~ (all_16_1 = e21)
% 242.23/47.78    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.78           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.78           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.78    (9)  op2(e23, e23) = e21
% 242.23/47.78    (10)  all_24_2 = e22
% 242.23/47.78    (11)   ~ (e23 = e22)
% 242.23/47.78    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.78            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.78    (13)  op2(e23, e24) = e22
% 242.23/47.78    (14)   ~ (e23 = e20)
% 242.23/47.78    (15)   ~ (e24 = e21)
% 242.23/47.78    (16)   ~ (e22 = e21)
% 242.23/47.78    (17)   ~ (all_16_1 = e20)
% 242.23/47.78    (18)  op2(e24, unit2) = e24
% 242.23/47.78    (19)  op2(e23, e22) = e20
% 242.23/47.78    (20)   ~ (all_16_1 = e23)
% 242.23/47.78    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.78    (22)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.78    (23)   ~ (e21 = e20)
% 242.23/47.78    (24)   ~ (e24 = e22)
% 242.23/47.78    (25)  all_24_17 = e23
% 242.23/47.78    (26)  op2(e23, e24) = all_16_1
% 242.23/47.78    (27)   ~ (e24 = e23)
% 242.23/47.78    (28)  op2(e23, e21) = all_10_1
% 242.23/47.78    (29)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21,
% 242.23/47.79              e20) = e22)
% 242.23/47.79    (30)  op2(e21, unit2) = e21
% 242.23/47.79    (31)  all_20_5 = all_16_1
% 242.23/47.79    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.79    (33)  all_24_15 = e23
% 242.23/47.79    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.79  
% 242.23/47.79  Begin of proof
% 242.23/47.79  | 
% 242.23/47.79  | BETA: splitting (29) gives:
% 242.23/47.79  | 
% 242.23/47.79  | Case 1:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (35)  all_24_15 = e22 & op2(e21, e21) = e22
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (5), (6), (7), (9), (11), (12), (14), (17), (19), (20), (22),
% 242.23/47.79  | |            (25), (26), (27), (28), (31), (33), (34), (35) are inconsistent
% 242.23/47.79  | |            by sub-proof #548.
% 242.23/47.79  | | 
% 242.23/47.79  | Case 2:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (36)  all_24_19 = e22 & op2(e21, e20) = e22
% 242.23/47.79  | | 
% 242.23/47.79  | | ALPHA: (36) implies:
% 242.23/47.79  | |   (37)  op2(e21, e20) = e22
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 242.23/47.79  | |            (14), (15), (16), (18), (19), (21), (23), (24), (27), (28), (30),
% 242.23/47.79  | |            (32), (34), (37) are inconsistent by sub-proof #277.
% 242.23/47.79  | | 
% 242.23/47.79  | End of split
% 242.23/47.79  | 
% 242.23/47.79  End of proof
% 242.23/47.79  
% 242.23/47.79  Sub-proof #266 shows that the following formulas are inconsistent:
% 242.23/47.79  ----------------------------------------------------------------
% 242.23/47.79    (1)  op2(e24, e22) = all_16_10
% 242.23/47.79    (2)   ~ (all_16_10 = e20)
% 242.23/47.79    (3)   ~ (all_16_15 = e24)
% 242.23/47.79    (4)   ~ (e24 = e20)
% 242.23/47.79    (5)   ~ (e23 = e21)
% 242.23/47.79    (6)  op2(e23, e21) = e24
% 242.23/47.79    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.79    (8)  op2(e23, e23) = e21
% 242.23/47.79    (9)  all_24_2 = e22
% 242.23/47.79    (10)   ~ (e23 = e22)
% 242.23/47.79    (11)   ~ (e22 = e20)
% 242.23/47.79    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.79    (13)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23, e24)
% 242.23/47.79            = e23)
% 242.23/47.79    (14)  op2(e23, e24) = e22
% 242.23/47.79    (15)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 242.23/47.79            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 242.23/47.79            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.23/47.79    (16)   ~ (e23 = e20)
% 242.23/47.79    (17)  op2(e24, e23) = e22
% 242.23/47.79    (18)  op2(e24, e22) = e23
% 242.23/47.79    (19)   ~ (e24 = e21)
% 242.23/47.79    (20)   ~ (e22 = e21)
% 242.23/47.79    (21)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 242.23/47.79            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 242.23/47.79            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 242.23/47.79    (22)  op2(e23, e22) = e20
% 242.23/47.79    (23)  all_24_1 = e22
% 242.23/47.79    (24)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.23/47.79            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.23/47.79            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.23/47.79    (25)   ~ (e21 = e20)
% 242.23/47.79    (26)  op2(e24, e21) = all_16_15
% 242.23/47.79    (27)   ~ (e24 = e22)
% 242.23/47.79    (28)  all_24_17 = e23
% 242.23/47.79    (29)   ~ (e24 = e23)
% 242.23/47.79    (30)  op2(e23, e21) = all_10_1
% 242.23/47.79    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.79    (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.79  
% 242.23/47.79  Begin of proof
% 242.23/47.79  | 
% 242.23/47.79  | BETA: splitting (13) gives:
% 242.23/47.79  | 
% 242.23/47.79  | Case 1:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (33)  all_24_0 = e23 & op2(e24, e24) = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | ALPHA: (33) implies:
% 242.23/47.79  | |   (34)  all_24_0 = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 242.23/47.79  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 242.23/47.79  | |            (26), (27), (28), (29), (30), (31), (32), (34) are inconsistent
% 242.23/47.79  | |            by sub-proof #671.
% 242.23/47.79  | | 
% 242.23/47.79  | Case 2:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (35)  all_24_2 = e23 & op2(e23, e24) = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | ALPHA: (35) implies:
% 242.23/47.79  | |   (36)  op2(e23, e24) = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (10), (12), (14), (36) are inconsistent by sub-proof #965.
% 242.23/47.79  | | 
% 242.23/47.79  | End of split
% 242.23/47.79  | 
% 242.23/47.79  End of proof
% 242.23/47.79  
% 242.23/47.79  Sub-proof #267 shows that the following formulas are inconsistent:
% 242.23/47.79  ----------------------------------------------------------------
% 242.23/47.79    (1)  (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20,
% 242.23/47.79             e21) = e23)
% 242.23/47.79    (2)  op2(e20, e24) = all_16_4
% 242.23/47.79    (3)   ~ (e24 = e20)
% 242.23/47.79    (4)   ~ (e23 = e21)
% 242.23/47.79    (5)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.23/47.79             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.23/47.79           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.23/47.79    (6)  op2(e23, e21) = e24
% 242.23/47.79    (7)   ~ (all_16_1 = e21)
% 242.23/47.79    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.79    (9)  op2(e23, e23) = e21
% 242.23/47.79    (10)  all_24_2 = e22
% 242.23/47.79    (11)   ~ (e23 = e22)
% 242.23/47.79    (12)   ~ (e22 = e20)
% 242.23/47.79    (13)  op2(e21, e23) = all_16_8
% 242.23/47.79    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.79    (15)  op2(e23, e24) = e22
% 242.23/47.79    (16)  all_24_21 = e23
% 242.23/47.79    (17)   ~ (e23 = e20)
% 242.23/47.79    (18)   ~ (all_16_7 = e23)
% 242.23/47.79    (19)  op2(e24, e23) = e22
% 242.23/47.79    (20)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.23/47.79              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.23/47.79            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.79    (21)   ~ (e24 = e21)
% 242.23/47.79    (22)  op2(e20, e22) = all_16_14
% 242.23/47.79    (23)   ~ (e22 = e21)
% 242.23/47.79    (24)   ~ (all_16_1 = e20)
% 242.23/47.79    (25)  op2(e23, e22) = e20
% 242.23/47.79    (26)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.23/47.79              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.23/47.79            e20 & op2(e20, e21) = e20)
% 242.23/47.79    (27)   ~ (all_16_1 = e23)
% 242.23/47.79    (28)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 242.23/47.79              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 242.23/47.79            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.79    (29)   ~ (all_16_14 = e20)
% 242.23/47.79    (30)  all_24_1 = e22
% 242.23/47.79    (31)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.79            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.79            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.79    (32)   ~ (all_16_8 = e23)
% 242.23/47.79    (33)  op2(e22, e23) = all_16_7
% 242.23/47.79    (34)   ~ (all_16_19 = e24)
% 242.23/47.79    (35)  op2(e21, e21) = all_6_2
% 242.23/47.79    (36)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.79            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.79            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.79    (37)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.79    (38)   ~ (all_16_4 = e22)
% 242.23/47.79    (39)   ~ (e21 = e20)
% 242.23/47.79    (40)   ~ (e24 = e22)
% 242.23/47.79    (41)  all_24_17 = e23
% 242.23/47.79    (42)  op2(e23, e24) = all_16_1
% 242.23/47.79    (43)   ~ (e24 = e23)
% 242.23/47.79    (44)  op2(e23, e21) = all_10_1
% 242.23/47.79    (45)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.79            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.79            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.79    (46)  op2(e20, e21) = all_16_19
% 242.23/47.79    (47)  all_20_5 = all_16_1
% 242.23/47.79    (48)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.79    (49)   ~ (all_6_2 = e23)
% 242.23/47.79    (50)  all_24_5 = e20
% 242.23/47.79    (51)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.79            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.79            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.79    (52)  all_24_3 = e21
% 242.23/47.79    (53)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.79  
% 242.23/47.79  Begin of proof
% 242.23/47.79  | 
% 242.23/47.79  | BETA: splitting (1) gives:
% 242.23/47.79  | 
% 242.23/47.79  | Case 1:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (54)  all_24_15 = e23 & op2(e21, e21) = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (14), (35), (49), (54) are inconsistent by sub-proof #680.
% 242.23/47.79  | | 
% 242.23/47.79  | Case 2:
% 242.23/47.79  | | 
% 242.23/47.79  | |   (55)  all_24_23 = e23 & op2(e20, e21) = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | ALPHA: (55) implies:
% 242.23/47.79  | |   (56)  all_24_23 = e23
% 242.23/47.79  | | 
% 242.23/47.79  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 242.23/47.79  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 242.23/47.79  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (36),
% 242.23/47.79  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 242.23/47.79  | |            (48), (50), (51), (52), (53), (56) are inconsistent by sub-proof
% 242.23/47.79  | |            #268.
% 242.23/47.79  | | 
% 242.23/47.79  | End of split
% 242.23/47.79  | 
% 242.23/47.79  End of proof
% 242.23/47.79  
% 242.23/47.79  Sub-proof #268 shows that the following formulas are inconsistent:
% 242.23/47.79  ----------------------------------------------------------------
% 242.23/47.79    (1)  op2(e20, e24) = all_16_4
% 242.23/47.79    (2)   ~ (e24 = e20)
% 242.23/47.79    (3)   ~ (e23 = e21)
% 242.23/47.79    (4)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.23/47.79             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.23/47.79           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.23/47.79    (5)  op2(e23, e21) = e24
% 242.23/47.79    (6)   ~ (all_16_1 = e21)
% 242.23/47.79    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.79    (8)  op2(e23, e23) = e21
% 242.23/47.79    (9)  all_24_2 = e22
% 242.23/47.79    (10)   ~ (e23 = e22)
% 242.23/47.79    (11)   ~ (e22 = e20)
% 242.23/47.79    (12)  op2(e21, e23) = all_16_8
% 242.23/47.80    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.80    (14)  op2(e23, e24) = e22
% 242.23/47.80    (15)  all_24_21 = e23
% 242.23/47.80    (16)   ~ (e23 = e20)
% 242.23/47.80    (17)   ~ (all_16_7 = e23)
% 242.23/47.80    (18)  op2(e24, e23) = e22
% 242.23/47.80    (19)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.23/47.80              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.23/47.80            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.80    (20)   ~ (e24 = e21)
% 242.23/47.80    (21)  op2(e20, e22) = all_16_14
% 242.23/47.80    (22)   ~ (e22 = e21)
% 242.23/47.80    (23)   ~ (all_16_1 = e20)
% 242.23/47.80    (24)  op2(e23, e22) = e20
% 242.23/47.80    (25)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.23/47.80              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.23/47.80            e20 & op2(e20, e21) = e20)
% 242.23/47.80    (26)   ~ (all_16_1 = e23)
% 242.23/47.80    (27)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 242.23/47.80              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 242.23/47.80            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.80    (28)  all_24_23 = e23
% 242.23/47.80    (29)   ~ (all_16_14 = e20)
% 242.23/47.80    (30)  all_24_1 = e22
% 242.23/47.80    (31)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.80            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.80            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.80    (32)   ~ (all_16_8 = e23)
% 242.23/47.80    (33)  op2(e22, e23) = all_16_7
% 242.23/47.80    (34)   ~ (all_16_19 = e24)
% 242.23/47.80    (35)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.80    (36)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.80    (37)   ~ (all_16_4 = e22)
% 242.23/47.80    (38)   ~ (e21 = e20)
% 242.23/47.80    (39)   ~ (e24 = e22)
% 242.23/47.80    (40)  all_24_17 = e23
% 242.23/47.80    (41)  op2(e23, e24) = all_16_1
% 242.23/47.80    (42)   ~ (e24 = e23)
% 242.23/47.80    (43)  op2(e23, e21) = all_10_1
% 242.23/47.80    (44)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.80            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.80            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.80    (45)  op2(e20, e21) = all_16_19
% 242.23/47.80    (46)  all_20_5 = all_16_1
% 242.23/47.80    (47)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.80    (48)  all_24_5 = e20
% 242.23/47.80    (49)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.80            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.80            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.80    (50)  all_24_3 = e21
% 242.23/47.80    (51)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.80  
% 242.23/47.80  Begin of proof
% 242.23/47.80  | 
% 242.23/47.80  | BETA: splitting (25) gives:
% 242.23/47.80  | 
% 242.23/47.80  | Case 1:
% 242.23/47.80  | | 
% 242.23/47.80  | |   (52)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 242.23/47.80  | |           op2(e20, e23) = e20)
% 242.23/47.80  | | 
% 242.23/47.80  | | BETA: splitting (52) gives:
% 242.23/47.80  | | 
% 242.23/47.80  | | Case 1:
% 242.23/47.80  | | | 
% 242.23/47.80  | | |   (53)  all_24_20 = e20 & op2(e20, e24) = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | ALPHA: (53) implies:
% 242.23/47.80  | | |   (54)  all_24_20 = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | BETA: splitting (19) gives:
% 242.23/47.80  | | | 
% 242.23/47.80  | | | Case 1:
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | |   (55)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 242.23/47.80  | | | |           op2(e20, e23) = e21)
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | | REF_CLOSE: (3), (5), (8), (9), (10), (12), (13), (16), (17), (18), (20),
% 242.23/47.80  | | | |            (24), (32), (33), (38), (39), (40), (42), (43), (44), (47),
% 242.23/47.80  | | | |            (51), (54), (55) are inconsistent by sub-proof #270.
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | Case 2:
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | |   (56)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 242.23/47.80  | | | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | | BETA: splitting (56) gives:
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | | Case 1:
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | |   (57)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | | ALPHA: (57) implies:
% 242.23/47.80  | | | | |   (58)  all_24_22 = e21
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | | BETA: splitting (27) gives:
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | | Case 1:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | |   (59)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 242.23/47.80  | | | | | |           op2(e20, e23) = e22)
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (13),
% 242.23/47.80  | | | | | |            (14), (16), (17), (18), (20), (22), (24), (30), (31),
% 242.23/47.80  | | | | | |            (33), (35), (37), (38), (39), (40), (42), (43), (44),
% 242.23/47.80  | | | | | |            (47), (49), (50), (51), (59) are inconsistent by
% 242.23/47.80  | | | | | |            sub-proof #775.
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | Case 2:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | |   (60)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 242.23/47.80  | | | | | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 242.23/47.80  | | | | | |           e22)
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | BETA: splitting (60) gives:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | Case 1:
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | |   (61)  all_24_22 = e22 & op2(e20, e22) = e22
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | | REF_CLOSE: (2), (3), (5), (8), (9), (10), (11), (13), (16), (20),
% 242.23/47.80  | | | | | | |            (22), (24), (35), (39), (42), (43), (47), (48), (51),
% 242.23/47.80  | | | | | | |            (58), (61) are inconsistent by sub-proof #298.
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | Case 2:
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | |   (62)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22
% 242.23/47.80  | | | | | | |           & op2(e20, e20) = e22)
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 242.23/47.80  | | | | | | |            (13), (16), (17), (18), (19), (20), (22), (23), (24),
% 242.23/47.80  | | | | | | |            (26), (28), (32), (33), (34), (35), (36), (38), (39),
% 242.23/47.80  | | | | | | |            (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 242.23/47.80  | | | | | | |            (51), (54), (62) are inconsistent by sub-proof #269.
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | End of split
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | End of split
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | Case 2:
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | |   (63)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 242.23/47.80  | | | | |           op2(e20, e20) = e21)
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | | BETA: splitting (63) gives:
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | | Case 1:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | |   (64)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (13), (16), (20), (24), (28),
% 242.23/47.80  | | | | | |            (39), (40), (42), (43), (47), (51), (64) are inconsistent
% 242.23/47.80  | | | | | |            by sub-proof #282.
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | Case 2:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | |   (65)  all_24_24 = e21 & op2(e20, e20) = e21
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | ALPHA: (65) implies:
% 242.23/47.80  | | | | | |   (66)  all_24_24 = e21
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | BETA: splitting (27) gives:
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | | Case 1:
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | |   (67)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22
% 242.23/47.80  | | | | | | |           & op2(e20, e23) = e22)
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (13),
% 242.23/47.80  | | | | | | |            (14), (16), (17), (18), (20), (22), (24), (30), (31),
% 242.23/47.80  | | | | | | |            (33), (35), (37), (38), (39), (40), (42), (43), (44),
% 242.23/47.80  | | | | | | |            (47), (49), (50), (51), (67) are inconsistent by
% 242.23/47.80  | | | | | | |            sub-proof #775.
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | Case 2:
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | |   (68)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22
% 242.23/47.80  | | | | | | |           & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20,
% 242.23/47.80  | | | | | | |             e20) = e22)
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | | BETA: splitting (68) gives:
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | | Case 1:
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | |   (69)  all_24_22 = e22 & op2(e20, e22) = e22
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | | ALPHA: (69) implies:
% 242.23/47.80  | | | | | | | |   (70)  all_24_22 = e22
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (10), (12), (13), (17), (18),
% 242.23/47.80  | | | | | | | |            (20), (32), (33), (34), (39), (42), (44), (45), (54),
% 242.23/47.80  | | | | | | | |            (66), (70) are inconsistent by sub-proof #372.
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | Case 2:
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | |   (71)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 =
% 242.23/47.80  | | | | | | | |           e22 & op2(e20, e20) = e22)
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 242.23/47.80  | | | | | | | |            (13), (16), (17), (18), (19), (20), (22), (23), (24),
% 242.23/47.80  | | | | | | | |            (26), (28), (32), (33), (34), (35), (36), (38), (39),
% 242.23/47.80  | | | | | | | |            (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 242.23/47.80  | | | | | | | |            (51), (54), (71) are inconsistent by sub-proof #269.
% 242.23/47.80  | | | | | | | | 
% 242.23/47.80  | | | | | | | End of split
% 242.23/47.80  | | | | | | | 
% 242.23/47.80  | | | | | | End of split
% 242.23/47.80  | | | | | | 
% 242.23/47.80  | | | | | End of split
% 242.23/47.80  | | | | | 
% 242.23/47.80  | | | | End of split
% 242.23/47.80  | | | | 
% 242.23/47.80  | | | End of split
% 242.23/47.80  | | | 
% 242.23/47.80  | | Case 2:
% 242.23/47.80  | | | 
% 242.23/47.80  | | |   (72)  all_24_21 = e20 & op2(e20, e23) = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (13), (15), (16), (20),
% 242.23/47.80  | | |            (22), (24), (38), (39), (40), (42), (43), (47), (51), (72) are
% 242.23/47.80  | | |            inconsistent by sub-proof #846.
% 242.23/47.80  | | | 
% 242.23/47.80  | | End of split
% 242.23/47.80  | | 
% 242.23/47.80  | Case 2:
% 242.23/47.80  | | 
% 242.23/47.80  | |   (73)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 242.23/47.80  | |           op2(e20, e21) = e20)
% 242.23/47.80  | | 
% 242.23/47.80  | | BETA: splitting (73) gives:
% 242.23/47.80  | | 
% 242.23/47.80  | | Case 1:
% 242.23/47.80  | | | 
% 242.23/47.80  | | |   (74)  all_24_22 = e20 & op2(e20, e22) = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | ALPHA: (74) implies:
% 242.23/47.80  | | |   (75)  op2(e20, e22) = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | REF_CLOSE: (13), (21), (29), (75) are inconsistent by sub-proof #961.
% 242.23/47.80  | | | 
% 242.23/47.80  | | Case 2:
% 242.23/47.80  | | | 
% 242.23/47.80  | | |   (76)  all_24_23 = e20 & op2(e20, e21) = e20
% 242.23/47.80  | | | 
% 242.23/47.80  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (13), (16), (20), (22),
% 242.23/47.80  | | |            (24), (28), (38), (39), (40), (42), (43), (47), (51), (76) are
% 242.23/47.80  | | |            inconsistent by sub-proof #281.
% 242.23/47.80  | | | 
% 242.23/47.80  | | End of split
% 242.23/47.80  | | 
% 242.23/47.80  | End of split
% 242.23/47.80  | 
% 242.23/47.80  End of proof
% 242.23/47.80  
% 242.23/47.80  Sub-proof #269 shows that the following formulas are inconsistent:
% 242.23/47.80  ----------------------------------------------------------------
% 242.23/47.80    (1)   ~ (e24 = e20)
% 242.23/47.80    (2)   ~ (e23 = e21)
% 242.23/47.80    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.23/47.80             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.23/47.80           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.23/47.80    (4)  op2(e23, e21) = e24
% 242.23/47.80    (5)   ~ (all_16_1 = e21)
% 242.23/47.80    (6)  op2(e23, e23) = e21
% 242.23/47.80    (7)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20,
% 242.23/47.80             e20) = e22)
% 242.23/47.80    (8)  all_24_2 = e22
% 242.23/47.80    (9)   ~ (e23 = e22)
% 242.23/47.80    (10)   ~ (e22 = e20)
% 242.23/47.80    (11)  op2(e21, e23) = all_16_8
% 242.23/47.80    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.80    (13)   ~ (e23 = e20)
% 242.23/47.80    (14)   ~ (all_16_7 = e23)
% 242.23/47.80    (15)  op2(e24, e23) = e22
% 242.23/47.80    (16)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.23/47.80              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.23/47.80            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.80    (17)   ~ (e24 = e21)
% 242.23/47.80    (18)   ~ (e22 = e21)
% 242.23/47.80    (19)   ~ (all_16_1 = e20)
% 242.23/47.80    (20)  op2(e23, e22) = e20
% 242.23/47.80    (21)   ~ (all_16_1 = e23)
% 242.23/47.80    (22)  all_24_23 = e23
% 242.23/47.80    (23)   ~ (all_16_8 = e23)
% 242.23/47.80    (24)  op2(e22, e23) = all_16_7
% 242.23/47.80    (25)   ~ (all_16_19 = e24)
% 242.23/47.80    (26)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.80    (27)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.80    (28)   ~ (e21 = e20)
% 242.23/47.80    (29)   ~ (e24 = e22)
% 242.23/47.80    (30)  all_24_17 = e23
% 242.23/47.80    (31)  op2(e23, e24) = all_16_1
% 242.23/47.80    (32)   ~ (e24 = e23)
% 242.23/47.80    (33)  op2(e23, e21) = all_10_1
% 242.23/47.80    (34)  all_24_20 = e20
% 242.23/47.80    (35)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.80            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.80            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.80    (36)  op2(e20, e21) = all_16_19
% 242.23/47.80    (37)  all_20_5 = all_16_1
% 242.23/47.80    (38)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.80    (39)  all_24_5 = e20
% 242.23/47.80    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.80  
% 242.23/47.80  Begin of proof
% 242.23/47.80  | 
% 242.23/47.80  | BETA: splitting (7) gives:
% 242.23/47.80  | 
% 242.23/47.80  | Case 1:
% 242.23/47.80  | | 
% 242.23/47.81  | |   (41)  all_24_23 = e22 & op2(e20, e21) = e22
% 242.23/47.81  | | 
% 242.23/47.81  | | ALPHA: (41) implies:
% 242.23/47.81  | |   (42)  all_24_23 = e22
% 242.23/47.81  | | 
% 242.23/47.81  | | COMBINE_EQS: (22), (42) imply:
% 242.23/47.81  | |   (43)  e23 = e22
% 242.23/47.81  | | 
% 242.23/47.81  | | REF_CLOSE: (2), (4), (5), (6), (9), (12), (13), (19), (20), (21), (27),
% 242.23/47.81  | |            (30), (31), (32), (33), (37), (40), (43) are inconsistent by
% 242.23/47.81  | |            sub-proof #810.
% 242.23/47.81  | | 
% 242.23/47.81  | Case 2:
% 242.23/47.81  | | 
% 242.23/47.81  | |   (44)  all_24_24 = e22 & op2(e20, e20) = e22
% 242.23/47.81  | | 
% 242.23/47.81  | | ALPHA: (44) implies:
% 242.23/47.81  | |   (45)  all_24_24 = e22
% 242.23/47.81  | | 
% 242.23/47.81  | | BETA: splitting (16) gives:
% 242.23/47.81  | | 
% 242.23/47.81  | | Case 1:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (46)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 242.23/47.81  | | |           op2(e20, e23) = e21)
% 242.23/47.81  | | | 
% 242.23/47.81  | | | REF_CLOSE: (2), (4), (6), (8), (9), (11), (12), (13), (14), (15), (17),
% 242.23/47.81  | | |            (20), (23), (24), (28), (29), (30), (32), (33), (34), (35),
% 242.23/47.81  | | |            (38), (40), (46) are inconsistent by sub-proof #270.
% 242.23/47.81  | | | 
% 242.23/47.81  | | Case 2:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (47)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 242.23/47.81  | | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.81  | | | 
% 242.23/47.81  | | | BETA: splitting (47) gives:
% 242.23/47.81  | | | 
% 242.23/47.81  | | | Case 1:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | |   (48)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | ALPHA: (48) implies:
% 242.23/47.81  | | | |   (49)  all_24_22 = e21
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | REF_CLOSE: (1), (2), (3), (6), (9), (11), (12), (14), (15), (17), (23),
% 242.23/47.81  | | | |            (24), (25), (29), (32), (34), (35), (36), (45), (49) are
% 242.23/47.81  | | | |            inconsistent by sub-proof #350.
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | Case 2:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | |   (50)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 242.23/47.81  | | | |           op2(e20, e20) = e21)
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | BETA: splitting (50) gives:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | Case 1:
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | |   (51)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | REF_CLOSE: (2), (4), (6), (8), (9), (12), (13), (17), (20), (22),
% 242.23/47.81  | | | | |            (29), (30), (32), (33), (38), (40), (51) are inconsistent
% 242.23/47.81  | | | | |            by sub-proof #282.
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | Case 2:
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | |   (52)  all_24_24 = e21 & op2(e20, e20) = e21
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (10), (12), (13), (17), (18),
% 242.23/47.81  | | | | |            (20), (26), (29), (32), (33), (38), (39), (40), (45), (52)
% 242.23/47.81  | | | | |            are inconsistent by sub-proof #639.
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | End of split
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | End of split
% 242.23/47.81  | | | 
% 242.23/47.81  | | End of split
% 242.23/47.81  | | 
% 242.23/47.81  | End of split
% 242.23/47.81  | 
% 242.23/47.81  End of proof
% 242.23/47.81  
% 242.23/47.81  Sub-proof #270 shows that the following formulas are inconsistent:
% 242.23/47.81  ----------------------------------------------------------------
% 242.23/47.81    (1)   ~ (e23 = e21)
% 242.23/47.81    (2)  op2(e23, e21) = e24
% 242.23/47.81    (3)  op2(e23, e23) = e21
% 242.23/47.81    (4)  all_24_2 = e22
% 242.23/47.81    (5)   ~ (e23 = e22)
% 242.23/47.81    (6)  op2(e21, e23) = all_16_8
% 242.23/47.81    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.81           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.81    (8)   ~ (e23 = e20)
% 242.23/47.81    (9)   ~ (all_16_7 = e23)
% 242.23/47.81    (10)  op2(e24, e23) = e22
% 242.23/47.81    (11)   ~ (e24 = e21)
% 242.23/47.81    (12)  op2(e23, e22) = e20
% 242.23/47.81    (13)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.23/47.81              e23) = e21)
% 242.23/47.81    (14)   ~ (all_16_8 = e23)
% 242.23/47.81    (15)  op2(e22, e23) = all_16_7
% 242.23/47.81    (16)   ~ (e21 = e20)
% 242.23/47.81    (17)   ~ (e24 = e22)
% 242.23/47.81    (18)  all_24_17 = e23
% 242.23/47.81    (19)   ~ (e24 = e23)
% 242.23/47.81    (20)  op2(e23, e21) = all_10_1
% 242.23/47.81    (21)  all_24_20 = e20
% 242.23/47.81    (22)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.81            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.81            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.81    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.81    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.81  
% 242.23/47.81  Begin of proof
% 242.23/47.81  | 
% 242.23/47.81  | BETA: splitting (13) gives:
% 242.23/47.81  | 
% 242.23/47.81  | Case 1:
% 242.23/47.81  | | 
% 242.23/47.81  | |   (25)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.23/47.81  | | 
% 242.23/47.81  | | REF_CLOSE: (16), (21), (25) are inconsistent by sub-proof #818.
% 242.23/47.81  | | 
% 242.23/47.81  | Case 2:
% 242.23/47.81  | | 
% 242.23/47.81  | |   (26)  all_24_21 = e21 & op2(e20, e23) = e21
% 242.23/47.81  | | 
% 242.23/47.81  | | ALPHA: (26) implies:
% 242.23/47.81  | |   (27)  all_24_21 = e21
% 242.23/47.81  | | 
% 242.23/47.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 242.23/47.81  | |            (14), (15), (17), (18), (19), (20), (22), (23), (24), (27) are
% 242.23/47.81  | |            inconsistent by sub-proof #765.
% 242.23/47.81  | | 
% 242.23/47.81  | End of split
% 242.23/47.81  | 
% 242.23/47.81  End of proof
% 242.23/47.81  
% 242.23/47.81  Sub-proof #271 shows that the following formulas are inconsistent:
% 242.23/47.81  ----------------------------------------------------------------
% 242.23/47.81    (1)  all_24_20 = e24
% 242.23/47.81    (2)  op2(e20, e24) = all_16_4
% 242.23/47.81    (3)   ~ (e24 = e20)
% 242.23/47.81    (4)   ~ (e23 = e21)
% 242.23/47.81    (5)  op2(e23, e21) = e24
% 242.23/47.81    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.81           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.81           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.81    (7)  op2(e23, e23) = e21
% 242.23/47.81    (8)  all_24_2 = e22
% 242.23/47.81    (9)   ~ (e23 = e22)
% 242.23/47.81    (10)   ~ (e22 = e20)
% 242.23/47.81    (11)  op2(e21, e23) = all_16_8
% 242.23/47.81    (12)  all_24_22 = e24
% 242.23/47.81    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.81    (14)  op2(e23, e24) = e22
% 242.23/47.81    (15)  all_24_21 = e23
% 242.23/47.81    (16)   ~ (e23 = e20)
% 242.23/47.81    (17)   ~ (all_16_7 = e23)
% 242.23/47.81    (18)  op2(e24, e23) = e22
% 242.23/47.81    (19)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.23/47.81              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.23/47.81            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.23/47.81    (20)   ~ (e24 = e21)
% 242.23/47.81    (21)  op2(e20, e22) = all_16_14
% 242.23/47.81    (22)   ~ (e22 = e21)
% 242.23/47.81    (23)  op2(e23, e22) = e20
% 242.23/47.81    (24)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.23/47.81              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.23/47.81            e20 & op2(e20, e21) = e20)
% 242.23/47.81    (25)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 242.23/47.81              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 242.23/47.81            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.81    (26)   ~ (all_16_14 = e20)
% 242.23/47.81    (27)  all_24_1 = e22
% 242.23/47.81    (28)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.81            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.81            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.81    (29)   ~ (all_16_8 = e23)
% 242.23/47.81    (30)  op2(e22, e23) = all_16_7
% 242.23/47.81    (31)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.81    (32)   ~ (all_16_4 = e22)
% 242.23/47.81    (33)   ~ (e21 = e20)
% 242.23/47.81    (34)   ~ (e24 = e22)
% 242.23/47.81    (35)  all_24_17 = e23
% 242.23/47.81    (36)   ~ (e24 = e23)
% 242.23/47.81    (37)  op2(e23, e21) = all_10_1
% 242.23/47.81    (38)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.81            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.81            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.81    (39)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.81    (40)  all_24_5 = e20
% 242.23/47.81    (41)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.81            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.81            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.81    (42)  all_24_3 = e21
% 242.23/47.81    (43)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.81  
% 242.23/47.81  Begin of proof
% 242.23/47.81  | 
% 242.23/47.81  | BETA: splitting (24) gives:
% 242.23/47.81  | 
% 242.23/47.81  | Case 1:
% 242.23/47.81  | | 
% 242.23/47.81  | |   (44)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 242.23/47.81  | |           op2(e20, e23) = e20)
% 242.23/47.81  | | 
% 242.23/47.81  | | BETA: splitting (44) gives:
% 242.23/47.81  | | 
% 242.23/47.81  | | Case 1:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (45)  all_24_20 = e20 & op2(e20, e24) = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | REF_CLOSE: (1), (3), (45) are inconsistent by sub-proof #605.
% 242.23/47.81  | | | 
% 242.23/47.81  | | Case 2:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (46)  all_24_21 = e20 & op2(e20, e23) = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (13), (15), (16), (20),
% 242.23/47.81  | | |            (22), (23), (33), (34), (35), (36), (37), (39), (43), (46) are
% 242.23/47.81  | | |            inconsistent by sub-proof #846.
% 242.23/47.81  | | | 
% 242.23/47.81  | | End of split
% 242.23/47.81  | | 
% 242.23/47.81  | Case 2:
% 242.23/47.81  | | 
% 242.23/47.81  | |   (47)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 242.23/47.81  | |           op2(e20, e21) = e20)
% 242.23/47.81  | | 
% 242.23/47.81  | | BETA: splitting (47) gives:
% 242.23/47.81  | | 
% 242.23/47.81  | | Case 1:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (48)  all_24_22 = e20 & op2(e20, e22) = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | ALPHA: (48) implies:
% 242.23/47.81  | | |   (49)  op2(e20, e22) = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | REF_CLOSE: (13), (21), (26), (49) are inconsistent by sub-proof #961.
% 242.23/47.81  | | | 
% 242.23/47.81  | | Case 2:
% 242.23/47.81  | | | 
% 242.23/47.81  | | |   (50)  all_24_23 = e20 & op2(e20, e21) = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | ALPHA: (50) implies:
% 242.23/47.81  | | |   (51)  all_24_23 = e20
% 242.23/47.81  | | | 
% 242.23/47.81  | | | BETA: splitting (25) gives:
% 242.23/47.81  | | | 
% 242.23/47.81  | | | Case 1:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | |   (52)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 242.23/47.81  | | | |           op2(e20, e23) = e22)
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14),
% 242.23/47.81  | | | |            (16), (17), (18), (20), (22), (23), (27), (28), (30), (31),
% 242.23/47.81  | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (41), (42),
% 242.23/47.81  | | | |            (43), (52) are inconsistent by sub-proof #775.
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | Case 2:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | |   (53)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 242.23/47.81  | | | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | BETA: splitting (53) gives:
% 242.23/47.81  | | | | 
% 242.23/47.81  | | | | Case 1:
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | |   (54)  all_24_22 = e22 & op2(e20, e22) = e22
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | ALPHA: (54) implies:
% 242.23/47.81  | | | | |   (55)  all_24_22 = e22
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | REF_CLOSE: (12), (34), (55) are inconsistent by sub-proof #840.
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | Case 2:
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | |   (56)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 242.23/47.81  | | | | |           op2(e20, e20) = e22)
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | BETA: splitting (56) gives:
% 242.23/47.81  | | | | | 
% 242.23/47.81  | | | | | Case 1:
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | |   (57)  all_24_23 = e22 & op2(e20, e21) = e22
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (13), (16),
% 242.23/47.81  | | | | | |            (20), (22), (23), (31), (33), (34), (36), (37), (39),
% 242.23/47.81  | | | | | |            (43), (51), (57) are inconsistent by sub-proof #370.
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | Case 2:
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | |   (58)  all_24_24 = e22 & op2(e20, e20) = e22
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | | ALPHA: (58) implies:
% 242.23/47.81  | | | | | |   (59)  all_24_24 = e22
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | | BETA: splitting (19) gives:
% 242.23/47.81  | | | | | | 
% 242.23/47.81  | | | | | | Case 1:
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | |   (60)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21
% 242.23/47.81  | | | | | | |           & op2(e20, e23) = e21)
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | | BETA: splitting (60) gives:
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | | Case 1:
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | |   (61)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | REF_CLOSE: (1), (20), (61) are inconsistent by sub-proof #872.
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | Case 2:
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | |   (62)  all_24_21 = e21 & op2(e20, e23) = e21
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | ALPHA: (62) implies:
% 242.23/47.81  | | | | | | | |   (63)  all_24_21 = e21
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (11), (13), (16), (17),
% 242.23/47.81  | | | | | | | |            (18), (20), (23), (29), (30), (34), (35), (36), (37),
% 242.23/47.81  | | | | | | | |            (38), (39), (43), (63) are inconsistent by sub-proof
% 242.23/47.81  | | | | | | | |            #765.
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | End of split
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | Case 2:
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | |   (64)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21
% 242.23/47.81  | | | | | | |           & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20,
% 242.23/47.81  | | | | | | |             e20) = e21)
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | | BETA: splitting (64) gives:
% 242.23/47.81  | | | | | | | 
% 242.23/47.81  | | | | | | | Case 1:
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | |   (65)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | ALPHA: (65) implies:
% 242.23/47.81  | | | | | | | |   (66)  all_24_22 = e21
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | REF_CLOSE: (12), (20), (66) are inconsistent by sub-proof #352.
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | Case 2:
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | |   (67)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 =
% 242.23/47.81  | | | | | | | |           e21 & op2(e20, e20) = e21)
% 242.23/47.81  | | | | | | | | 
% 242.23/47.81  | | | | | | | | BETA: splitting (67) gives:
% 242.23/47.82  | | | | | | | | 
% 242.23/47.82  | | | | | | | | Case 1:
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | |   (68)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | | REF_CLOSE: (33), (51), (68) are inconsistent by sub-proof
% 242.23/47.82  | | | | | | | | |            #590.
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | Case 2:
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | |   (69)  all_24_24 = e21 & op2(e20, e20) = e21
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (13), (16),
% 242.23/47.82  | | | | | | | | |            (20), (22), (23), (31), (34), (36), (37), (39),
% 242.23/47.82  | | | | | | | | |            (40), (43), (59), (69) are inconsistent by
% 242.23/47.82  | | | | | | | | |            sub-proof #639.
% 242.23/47.82  | | | | | | | | | 
% 242.23/47.82  | | | | | | | | End of split
% 242.23/47.82  | | | | | | | | 
% 242.23/47.82  | | | | | | | End of split
% 242.23/47.82  | | | | | | | 
% 242.23/47.82  | | | | | | End of split
% 242.23/47.82  | | | | | | 
% 242.23/47.82  | | | | | End of split
% 242.23/47.82  | | | | | 
% 242.23/47.82  | | | | End of split
% 242.23/47.82  | | | | 
% 242.23/47.82  | | | End of split
% 242.23/47.82  | | | 
% 242.23/47.82  | | End of split
% 242.23/47.82  | | 
% 242.23/47.82  | End of split
% 242.23/47.82  | 
% 242.23/47.82  End of proof
% 242.23/47.82  
% 242.23/47.82  Sub-proof #272 shows that the following formulas are inconsistent:
% 242.23/47.82  ----------------------------------------------------------------
% 242.23/47.82    (1)  op2(unit2, e24) = e24
% 242.23/47.82    (2)  op2(e23, unit2) = e23
% 242.23/47.82    (3)   ~ (e24 = e20)
% 242.23/47.82    (4)   ~ (e23 = e21)
% 242.23/47.82    (5)  op2(e23, e21) = e24
% 242.23/47.82    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.82           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.82           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.82    (7)  op2(e23, e23) = e21
% 242.23/47.82    (8)  all_24_2 = e22
% 242.23/47.82    (9)   ~ (e23 = e22)
% 242.23/47.82    (10)  op2(e20, unit2) = e20
% 242.23/47.82    (11)   ~ (e22 = e20)
% 242.23/47.82    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.82            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.82    (13)  all_24_23 = e22
% 242.23/47.82    (14)  op2(e23, e24) = e22
% 242.23/47.82    (15)  all_24_21 = e23
% 242.23/47.82    (16)   ~ (e23 = e20)
% 242.23/47.82    (17)   ~ (e24 = e21)
% 242.23/47.82    (18)  op2(e20, e22) = all_16_14
% 242.23/47.82    (19)   ~ (e22 = e21)
% 242.23/47.82    (20)  op2(e23, e22) = e20
% 242.23/47.82    (21)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 242.23/47.82              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 242.23/47.82            e20 & op2(e20, e21) = e20)
% 242.23/47.82    (22)   ~ (all_16_14 = e20)
% 242.23/47.82    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.82    (24)  op2(e20, e22) = e24
% 242.23/47.82    (25)  op2(unit2, e22) = e22
% 242.23/47.82    (26)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.82            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.82            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.82    (27)   ~ (e21 = e20)
% 242.23/47.82    (28)   ~ (e24 = e22)
% 242.23/47.82    (29)  all_24_17 = e23
% 242.23/47.82    (30)   ~ (e24 = e23)
% 242.23/47.82    (31)  op2(e23, e21) = all_10_1
% 242.23/47.82    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.82            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.82            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.82    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.82            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.82            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.82  
% 242.23/47.82  Begin of proof
% 242.23/47.82  | 
% 242.23/47.82  | BETA: splitting (21) gives:
% 242.23/47.82  | 
% 242.23/47.82  | Case 1:
% 242.23/47.82  | | 
% 242.23/47.82  | |   (34)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 242.23/47.82  | |           op2(e20, e23) = e20)
% 242.23/47.82  | | 
% 242.23/47.82  | | BETA: splitting (34) gives:
% 242.23/47.82  | | 
% 242.23/47.82  | | Case 1:
% 242.23/47.82  | | | 
% 242.23/47.82  | | |   (35)  all_24_20 = e20 & op2(e20, e24) = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | REF_CLOSE: (1), (2), (5), (9), (10), (12), (14), (18), (22), (23), (24),
% 242.23/47.82  | | |            (25), (30), (31), (35) are inconsistent by sub-proof #273.
% 242.23/47.82  | | | 
% 242.23/47.82  | | Case 2:
% 242.23/47.82  | | | 
% 242.23/47.82  | | |   (36)  all_24_21 = e20 & op2(e20, e23) = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | ALPHA: (36) implies:
% 242.23/47.82  | | |   (37)  all_24_21 = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | COMBINE_EQS: (15), (37) imply:
% 242.23/47.82  | | |   (38)  e23 = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (12), (16), (17), (19),
% 242.23/47.82  | | |            (20), (27), (28), (29), (30), (31), (32), (33), (38) are
% 242.23/47.82  | | |            inconsistent by sub-proof #833.
% 242.23/47.82  | | | 
% 242.23/47.82  | | End of split
% 242.23/47.82  | | 
% 242.23/47.82  | Case 2:
% 242.23/47.82  | | 
% 242.23/47.82  | |   (39)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 242.23/47.82  | |           op2(e20, e21) = e20)
% 242.23/47.82  | | 
% 242.23/47.82  | | BETA: splitting (39) gives:
% 242.23/47.82  | | 
% 242.23/47.82  | | Case 1:
% 242.23/47.82  | | | 
% 242.23/47.82  | | |   (40)  all_24_22 = e20 & op2(e20, e22) = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | ALPHA: (40) implies:
% 242.23/47.82  | | |   (41)  op2(e20, e22) = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | REF_CLOSE: (12), (18), (22), (41) are inconsistent by sub-proof #961.
% 242.23/47.82  | | | 
% 242.23/47.82  | | Case 2:
% 242.23/47.82  | | | 
% 242.23/47.82  | | |   (42)  all_24_23 = e20 & op2(e20, e21) = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | ALPHA: (42) implies:
% 242.23/47.82  | | |   (43)  all_24_23 = e20
% 242.23/47.82  | | | 
% 242.23/47.82  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (16),
% 242.23/47.82  | | |            (17), (19), (20), (26), (27), (28), (30), (31), (32), (33),
% 242.23/47.82  | | |            (43) are inconsistent by sub-proof #585.
% 242.23/47.82  | | | 
% 242.23/47.82  | | End of split
% 242.23/47.82  | | 
% 242.23/47.82  | End of split
% 242.23/47.82  | 
% 242.23/47.82  End of proof
% 242.23/47.82  
% 242.23/47.82  Sub-proof #273 shows that the following formulas are inconsistent:
% 242.23/47.82  ----------------------------------------------------------------
% 242.23/47.82    (1)  op2(unit2, e24) = e24
% 242.23/47.82    (2)  op2(e23, unit2) = e23
% 242.23/47.82    (3)  op2(e23, e21) = e24
% 242.23/47.82    (4)   ~ (e23 = e22)
% 242.23/47.82    (5)  op2(e20, unit2) = e20
% 242.23/47.82    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.82           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.82    (7)  op2(e23, e24) = e22
% 242.23/47.82    (8)  op2(e20, e22) = all_16_14
% 242.23/47.82    (9)   ~ (all_16_14 = e20)
% 242.23/47.82    (10)  all_24_20 = e20 & op2(e20, e24) = e20
% 242.23/47.82    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.82    (12)  op2(e20, e22) = e24
% 242.23/47.82    (13)  op2(unit2, e22) = e22
% 242.23/47.82    (14)   ~ (e24 = e23)
% 242.23/47.82    (15)  op2(e23, e21) = all_10_1
% 242.23/47.82  
% 242.23/47.82  Begin of proof
% 242.23/47.82  | 
% 242.23/47.82  | ALPHA: (10) implies:
% 242.23/47.82  |   (16)  op2(e20, e24) = e20
% 242.23/47.82  | 
% 242.23/47.82  | BETA: splitting (11) gives:
% 242.23/47.82  | 
% 242.23/47.82  | Case 1:
% 242.23/47.82  | | 
% 242.23/47.82  | |   (17)  unit2 = e24
% 242.23/47.82  | | 
% 242.23/47.82  | | REDUCE: (2), (17) imply:
% 242.23/47.82  | |   (18)  op2(e23, e24) = e23
% 242.23/47.82  | | 
% 242.23/47.82  | | REF_CLOSE: (4), (6), (7), (18) are inconsistent by sub-proof #965.
% 242.23/47.82  | | 
% 242.23/47.82  | Case 2:
% 242.23/47.82  | | 
% 242.23/47.82  | |   (19)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.82  | | 
% 242.23/47.82  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (12), (13), (14), (15), (16),
% 242.23/47.82  | |            (19) are inconsistent by sub-proof #772.
% 242.23/47.82  | | 
% 242.23/47.82  | End of split
% 242.23/47.82  | 
% 242.23/47.82  End of proof
% 242.23/47.82  
% 242.23/47.82  Sub-proof #274 shows that the following formulas are inconsistent:
% 242.23/47.82  ----------------------------------------------------------------
% 242.23/47.82    (1)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.23/47.82    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.82           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.82    (3)  op2(e21, e22) = all_16_13
% 242.23/47.82    (4)   ~ (all_16_13 = e24)
% 242.23/47.82  
% 242.23/47.82  Begin of proof
% 242.23/47.82  | 
% 242.23/47.82  | ALPHA: (1) implies:
% 242.23/47.82  |   (5)  op2(e21, e22) = e24
% 242.23/47.82  | 
% 242.23/47.82  | GROUND_INST: instantiating (2) with all_16_13, e24, e22, e21, simplifying with
% 242.23/47.82  |              (3), (5) gives:
% 242.23/47.82  |   (6)  all_16_13 = e24
% 242.23/47.82  | 
% 242.23/47.82  | REDUCE: (4), (6) imply:
% 242.23/47.82  |   (7)  $false
% 242.23/47.82  | 
% 242.23/47.82  | CLOSE: (7) is inconsistent.
% 242.23/47.82  | 
% 242.23/47.82  End of proof
% 242.23/47.82  
% 242.23/47.82  Sub-proof #275 shows that the following formulas are inconsistent:
% 242.23/47.82  ----------------------------------------------------------------
% 242.23/47.82    (1)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 242.23/47.82           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 242.23/47.82           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.23/47.82    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.23/47.82           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.23/47.82           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.23/47.82    (3)  op2(e23, unit2) = e23
% 242.23/47.82    (4)   ~ (e24 = e20)
% 242.23/47.82    (5)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.82             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.82           e20 & op2(e21, e20) = e20)
% 242.23/47.82    (6)   ~ (e23 = e21)
% 242.23/47.82    (7)  all_24_11 = e23
% 242.23/47.82    (8)  op2(e23, e21) = e24
% 242.23/47.82    (9)   ~ (all_16_1 = e21)
% 242.23/47.82    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.82            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.82            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.82    (11)  op2(e23, e23) = e21
% 242.23/47.82    (12)  all_24_2 = e22
% 242.23/47.82    (13)   ~ (e23 = e22)
% 242.23/47.82    (14)   ~ (e22 = e20)
% 242.23/47.82    (15)  op2(e21, e23) = all_16_8
% 242.23/47.82    (16)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 242.23/47.82            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 242.23/47.82            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 242.23/47.82    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.82            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.82    (18)  all_24_13 = e20
% 242.23/47.82    (19)  all_24_7 = e24
% 242.23/47.82    (20)  op2(e23, e24) = e22
% 242.23/47.82    (21)  all_24_21 = e23
% 242.23/47.82    (22)   ~ (e23 = e20)
% 242.23/47.82    (23)   ~ (all_16_7 = e23)
% 242.23/47.82    (24)  op2(e24, e23) = e22
% 242.23/47.82    (25)  op2(e24, e22) = e23
% 242.23/47.82    (26)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 242.23/47.82            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 242.23/47.82            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 242.23/47.82    (27)   ~ (e24 = e21)
% 242.23/47.82    (28)   ~ (e22 = e21)
% 242.23/47.82    (29)   ~ (all_16_1 = e20)
% 242.23/47.82    (30)  op2(e24, unit2) = e24
% 242.23/47.82    (31)  op2(e23, e22) = e20
% 242.23/47.82    (32)   ~ (all_16_1 = e23)
% 242.23/47.82    (33)  all_24_12 = e23
% 242.23/47.82    (34)  all_24_1 = e22
% 242.23/47.82    (35)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.82    (36)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 242.23/47.82            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.23/47.82            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.23/47.82    (37)  all_24_4 = e23
% 242.23/47.82    (38)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.82            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.82            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.82    (39)   ~ (all_16_8 = e23)
% 242.23/47.82    (40)  op2(e22, e23) = all_16_7
% 242.23/47.82    (41)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.82            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.82            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.82    (42)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.82    (43)   ~ (e21 = e20)
% 242.23/47.82    (44)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 242.23/47.82            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 242.23/47.82            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.23/47.82    (45)   ~ (e24 = e22)
% 242.23/47.82    (46)  all_24_17 = e23
% 242.23/47.82    (47)  op2(e23, e24) = all_16_1
% 242.23/47.82    (48)   ~ (e24 = e23)
% 242.23/47.82    (49)  op2(e23, e21) = all_10_1
% 242.23/47.83    (50)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.83            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.83            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.83    (51)  op2(e21, unit2) = e21
% 242.23/47.83    (52)  all_20_5 = all_16_1
% 242.23/47.83    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.83            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.83            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.83    (54)  all_24_5 = e20
% 242.23/47.83    (55)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.83            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.83            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.83    (56)  all_24_22 = e22
% 242.23/47.83    (57)  all_24_3 = e21
% 242.23/47.83    (58)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.83            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.83            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.83  
% 242.23/47.83  Begin of proof
% 242.23/47.83  | 
% 242.23/47.83  | BETA: splitting (1) gives:
% 242.23/47.83  | 
% 242.23/47.83  | Case 1:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (59)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 242.23/47.83  | |             e23) = e22)
% 242.23/47.83  | | 
% 242.23/47.83  | | REF_CLOSE: (2), (4), (6), (8), (9), (10), (11), (12), (13), (14), (16),
% 242.23/47.83  | |            (17), (18), (22), (24), (26), (27), (28), (29), (31), (32), (33),
% 242.23/47.83  | |            (34), (38), (41), (42), (43), (45), (46), (47), (48), (49), (50),
% 242.23/47.83  | |            (52), (53), (54), (55), (57), (58), (59) are inconsistent by
% 242.23/47.83  | |            sub-proof #315.
% 242.23/47.83  | | 
% 242.23/47.83  | Case 2:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (60)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 & op2(e22,
% 242.23/47.83  | |             e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.23/47.83  | | 
% 242.23/47.83  | | BETA: splitting (60) gives:
% 242.23/47.83  | | 
% 242.23/47.83  | | Case 1:
% 242.23/47.83  | | | 
% 242.23/47.83  | | |   (61)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.23/47.83  | | | 
% 242.23/47.83  | | | ALPHA: (61) implies:
% 242.23/47.83  | | |   (62)  all_24_8 = e22
% 242.23/47.83  | | | 
% 242.23/47.83  | | | BETA: splitting (44) gives:
% 242.23/47.83  | | | 
% 242.23/47.83  | | | Case 1:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | |   (63)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 242.23/47.83  | | | |           op2(e23, e22) = e21)
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | BETA: splitting (63) gives:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | Case 1:
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | |   (64)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | REF_CLOSE: (6), (8), (11), (12), (13), (17), (22), (27), (31), (37),
% 242.23/47.83  | | | | |            (45), (46), (48), (49), (53), (58), (64) are inconsistent
% 242.23/47.83  | | | | |            by sub-proof #664.
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | Case 2:
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | |   (65)  all_24_5 = e21 & op2(e23, e22) = e21
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | REF_CLOSE: (17), (31), (43), (65) are inconsistent by sub-proof #1318.
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | End of split
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | Case 2:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | |   (66)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 242.23/47.83  | | | |           op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | BETA: splitting (66) gives:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | Case 1:
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | |   (67)  all_24_8 = e21 & op2(e22, e22) = e21
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | ALPHA: (67) implies:
% 242.23/47.83  | | | | |   (68)  all_24_8 = e21
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | REF_CLOSE: (4), (6), (8), (11), (12), (13), (14), (17), (22), (27),
% 242.23/47.83  | | | | |            (28), (31), (41), (45), (48), (49), (53), (54), (58), (62),
% 242.23/47.83  | | | | |            (68) are inconsistent by sub-proof #554.
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | Case 2:
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | |   (69)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 242.23/47.83  | | | | |           op2(e20, e22) = e21)
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | BETA: splitting (69) gives:
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | | Case 1:
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | |   (70)  all_24_14 = e21 & op2(e21, e22) = e21
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | | ALPHA: (70) implies:
% 242.23/47.83  | | | | | |   (71)  all_24_14 = e21
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | | BETA: splitting (36) gives:
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | | Case 1:
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | |   (72)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 &
% 242.23/47.83  | | | | | | |           op2(e23, e22) = e24)
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | | REF_CLOSE: (4), (17), (25), (48), (54), (72) are inconsistent by
% 242.23/47.83  | | | | | | |            sub-proof #617.
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | Case 2:
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | |   (73)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24
% 242.23/47.83  | | | | | | |           & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20,
% 242.23/47.83  | | | | | | |             e22) = e24)
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | | BETA: splitting (73) gives:
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | | Case 1:
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | |   (74)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | ALPHA: (74) implies:
% 242.23/47.83  | | | | | | | |   (75)  all_24_8 = e24
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | COMBINE_EQS: (62), (75) imply:
% 242.23/47.83  | | | | | | | |   (76)  e24 = e22
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | COMBINE_EQS: (19), (76) imply:
% 242.23/47.83  | | | | | | | |   (77)  all_24_7 = e22
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (13), (14), (17),
% 242.23/47.83  | | | | | | | |            (21), (22), (24), (27), (28), (31), (34), (38), (41),
% 242.23/47.83  | | | | | | | |            (43), (45), (46), (48), (49), (53), (55), (57), (58),
% 242.23/47.83  | | | | | | | |            (77) are inconsistent by sub-proof #812.
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | Case 2:
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | |   (78)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 =
% 242.23/47.83  | | | | | | | |           e24 & op2(e20, e22) = e24)
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | BETA: splitting (78) gives:
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | | Case 1:
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | |   (79)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (13), (14), (15),
% 242.23/47.83  | | | | | | | | |            (17), (19), (21), (22), (23), (24), (27), (28),
% 242.23/47.83  | | | | | | | | |            (31), (34), (38), (39), (40), (43), (45), (46),
% 242.23/47.83  | | | | | | | | |            (48), (49), (50), (53), (55), (57), (58), (71),
% 242.23/47.83  | | | | | | | | |            (79) are inconsistent by sub-proof #622.
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | Case 2:
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | |   (80)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (13), (14), (17),
% 242.23/47.83  | | | | | | | | |            (19), (21), (22), (24), (27), (28), (31), (34),
% 242.23/47.83  | | | | | | | | |            (38), (41), (43), (45), (46), (48), (49), (53),
% 242.23/47.83  | | | | | | | | |            (55), (56), (57), (58), (80) are inconsistent by
% 242.23/47.83  | | | | | | | | |            sub-proof #606.
% 242.23/47.83  | | | | | | | | | 
% 242.23/47.83  | | | | | | | | End of split
% 242.23/47.83  | | | | | | | | 
% 242.23/47.83  | | | | | | | End of split
% 242.23/47.83  | | | | | | | 
% 242.23/47.83  | | | | | | End of split
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | Case 2:
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | |   (81)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | | REF_CLOSE: (4), (6), (8), (11), (12), (13), (14), (17), (22), (27),
% 242.23/47.83  | | | | | |            (28), (31), (41), (45), (48), (49), (53), (54), (56),
% 242.23/47.83  | | | | | |            (58), (81) are inconsistent by sub-proof #849.
% 242.23/47.83  | | | | | | 
% 242.23/47.83  | | | | | End of split
% 242.23/47.83  | | | | | 
% 242.23/47.83  | | | | End of split
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | End of split
% 242.23/47.83  | | | 
% 242.23/47.83  | | Case 2:
% 242.23/47.83  | | | 
% 242.23/47.83  | | |   (82)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 242.23/47.83  | | |           op2(e22, e20) = e22)
% 242.23/47.83  | | | 
% 242.23/47.83  | | | BETA: splitting (82) gives:
% 242.23/47.83  | | | 
% 242.23/47.83  | | | Case 1:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | |   (83)  all_24_11 = e22 & op2(e22, e21) = e22
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | REF_CLOSE: (6), (7), (8), (9), (11), (13), (17), (22), (29), (31), (32),
% 242.23/47.83  | | | |            (42), (46), (47), (48), (49), (52), (58), (83) are
% 242.23/47.83  | | | |            inconsistent by sub-proof #567.
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | Case 2:
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | |   (84)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (11), (12), (13), (14), (17),
% 242.23/47.83  | | | |            (20), (22), (27), (28), (30), (31), (35), (41), (43), (45),
% 242.23/47.83  | | | |            (48), (49), (51), (53), (58), (84) are inconsistent by
% 242.23/47.83  | | | |            sub-proof #276.
% 242.23/47.83  | | | | 
% 242.23/47.83  | | | End of split
% 242.23/47.83  | | | 
% 242.23/47.83  | | End of split
% 242.23/47.83  | | 
% 242.23/47.83  | End of split
% 242.23/47.83  | 
% 242.23/47.83  End of proof
% 242.23/47.83  
% 242.23/47.83  Sub-proof #276 shows that the following formulas are inconsistent:
% 242.23/47.83  ----------------------------------------------------------------
% 242.23/47.83    (1)  op2(e23, unit2) = e23
% 242.23/47.83    (2)   ~ (e24 = e20)
% 242.23/47.83    (3)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.83             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.83           e20 & op2(e21, e20) = e20)
% 242.23/47.83    (4)   ~ (e23 = e21)
% 242.23/47.83    (5)  op2(e23, e21) = e24
% 242.23/47.83    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.83           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.83           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.83    (7)  op2(e23, e23) = e21
% 242.23/47.83    (8)  all_24_2 = e22
% 242.23/47.83    (9)   ~ (e23 = e22)
% 242.23/47.83    (10)   ~ (e22 = e20)
% 242.23/47.83    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.83            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.83    (12)  op2(e23, e24) = e22
% 242.23/47.83    (13)   ~ (e23 = e20)
% 242.23/47.83    (14)   ~ (e24 = e21)
% 242.23/47.83    (15)   ~ (e22 = e21)
% 242.23/47.83    (16)  op2(e24, unit2) = e24
% 242.23/47.83    (17)  op2(e23, e22) = e20
% 242.23/47.83    (18)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.83    (19)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.23/47.83    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.83            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.83            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.83    (21)   ~ (e21 = e20)
% 242.23/47.83    (22)   ~ (e24 = e22)
% 242.23/47.83    (23)   ~ (e24 = e23)
% 242.23/47.83    (24)  op2(e23, e21) = all_10_1
% 242.23/47.83    (25)  op2(e21, unit2) = e21
% 242.23/47.83    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.83            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.83            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.83    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.83            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.83            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.83  
% 242.23/47.83  Begin of proof
% 242.23/47.83  | 
% 242.23/47.83  | ALPHA: (19) implies:
% 242.23/47.83  |   (28)  all_24_18 = e22
% 242.23/47.83  | 
% 242.23/47.83  | BETA: splitting (3) gives:
% 242.23/47.83  | 
% 242.23/47.83  | Case 1:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (29)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 242.23/47.83  | |           op2(e23, e20) = e20)
% 242.23/47.83  | | 
% 242.23/47.83  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 242.23/47.83  | |            (15), (16), (17), (18), (21), (22), (23), (24), (26), (27), (29)
% 242.23/47.83  | |            are inconsistent by sub-proof #279.
% 242.23/47.83  | | 
% 242.23/47.83  | Case 2:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (30)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 242.23/47.83  | |           op2(e21, e20) = e20)
% 242.23/47.83  | | 
% 242.23/47.83  | | BETA: splitting (30) gives:
% 242.23/47.83  | | 
% 242.23/47.83  | | Case 1:
% 242.23/47.83  | | | 
% 242.23/47.83  | | |   (31)  all_24_18 = e20 & op2(e22, e20) = e20
% 242.23/47.83  | | | 
% 242.23/47.83  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 242.23/47.83  | | |            (15), (17), (20), (21), (22), (23), (24), (26), (27), (28),
% 242.23/47.83  | | |            (31) are inconsistent by sub-proof #376.
% 242.23/47.83  | | | 
% 242.23/47.83  | | Case 2:
% 242.23/47.83  | | | 
% 242.23/47.83  | | |   (32)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.23/47.83  | | | 
% 242.23/47.83  | | | REF_CLOSE: (1), (5), (9), (11), (12), (13), (17), (18), (23), (24), (25),
% 242.23/47.83  | | |            (32) are inconsistent by sub-proof #278.
% 242.23/47.83  | | | 
% 242.23/47.83  | | End of split
% 242.23/47.83  | | 
% 242.23/47.83  | End of split
% 242.23/47.83  | 
% 242.23/47.83  End of proof
% 242.23/47.83  
% 242.23/47.83  Sub-proof #277 shows that the following formulas are inconsistent:
% 242.23/47.83  ----------------------------------------------------------------
% 242.23/47.83    (1)  op2(e22, unit2) = e22
% 242.23/47.83    (2)  op2(e23, unit2) = e23
% 242.23/47.83    (3)   ~ (e24 = e20)
% 242.23/47.83    (4)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.83             e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 242.23/47.83           e20 & op2(e21, e20) = e20)
% 242.23/47.83    (5)   ~ (e23 = e21)
% 242.23/47.83    (6)  op2(e23, e21) = e24
% 242.23/47.83    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.83           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.83           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.83    (8)  op2(e23, e23) = e21
% 242.23/47.83    (9)  all_24_2 = e22
% 242.23/47.83    (10)   ~ (e23 = e22)
% 242.23/47.83    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.83            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.83    (12)  op2(e23, e24) = e22
% 242.23/47.83    (13)   ~ (e23 = e20)
% 242.23/47.83    (14)   ~ (e24 = e21)
% 242.23/47.83    (15)   ~ (e22 = e21)
% 242.23/47.83    (16)  op2(e24, unit2) = e24
% 242.23/47.83    (17)  op2(e23, e22) = e20
% 242.23/47.83    (18)  op2(e21, e20) = e22
% 242.23/47.83    (19)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.83    (20)   ~ (e21 = e20)
% 242.23/47.83    (21)   ~ (e24 = e22)
% 242.23/47.83    (22)   ~ (e24 = e23)
% 242.23/47.83    (23)  op2(e23, e21) = all_10_1
% 242.23/47.83    (24)  op2(e21, unit2) = e21
% 242.23/47.83    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.83            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.83            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.83    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.83            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.83            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.83  
% 242.23/47.83  Begin of proof
% 242.23/47.83  | 
% 242.23/47.83  | BETA: splitting (4) gives:
% 242.23/47.83  | 
% 242.23/47.83  | Case 1:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (27)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 &
% 242.23/47.83  | |           op2(e23, e20) = e20)
% 242.23/47.83  | | 
% 242.23/47.83  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 242.23/47.83  | |            (15), (16), (17), (19), (20), (21), (22), (23), (25), (26), (27)
% 242.23/47.83  | |            are inconsistent by sub-proof #279.
% 242.23/47.83  | | 
% 242.23/47.83  | Case 2:
% 242.23/47.83  | | 
% 242.23/47.83  | |   (28)  (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 = e20 &
% 242.23/47.83  | |           op2(e21, e20) = e20)
% 242.23/47.83  | | 
% 242.23/47.83  | | BETA: splitting (28) gives:
% 242.23/47.83  | | 
% 242.23/47.83  | | Case 1:
% 242.23/47.83  | | | 
% 242.23/47.83  | | |   (29)  all_24_18 = e20 & op2(e22, e20) = e20
% 242.23/47.83  | | | 
% 242.23/47.83  | | | ALPHA: (29) implies:
% 242.23/47.83  | | |   (30)  op2(e22, e20) = e20
% 242.23/47.83  | | | 
% 242.23/47.84  | | | REF_CLOSE: (1), (2), (6), (10), (11), (12), (13), (17), (18), (19), (22),
% 242.23/47.84  | | |            (23), (24), (30) are inconsistent by sub-proof #536.
% 242.23/47.84  | | | 
% 242.23/47.84  | | Case 2:
% 242.23/47.84  | | | 
% 242.23/47.84  | | |   (31)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.23/47.84  | | | 
% 242.23/47.84  | | | REF_CLOSE: (2), (6), (10), (11), (12), (13), (17), (19), (22), (23), (24),
% 242.23/47.84  | | |            (31) are inconsistent by sub-proof #278.
% 242.23/47.84  | | | 
% 242.23/47.84  | | End of split
% 242.23/47.84  | | 
% 242.23/47.84  | End of split
% 242.23/47.84  | 
% 242.23/47.84  End of proof
% 242.23/47.84  
% 242.23/47.84  Sub-proof #278 shows that the following formulas are inconsistent:
% 242.23/47.84  ----------------------------------------------------------------
% 242.23/47.84    (1)  op2(e23, unit2) = e23
% 242.23/47.84    (2)  op2(e23, e21) = e24
% 242.23/47.84    (3)   ~ (e23 = e22)
% 242.23/47.84    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.84    (5)  op2(e23, e24) = e22
% 242.23/47.84    (6)   ~ (e23 = e20)
% 242.23/47.84    (7)  op2(e23, e22) = e20
% 242.23/47.84    (8)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.84    (9)   ~ (e24 = e23)
% 242.23/47.84    (10)  op2(e23, e21) = all_10_1
% 242.23/47.84    (11)  op2(e21, unit2) = e21
% 242.23/47.84    (12)  all_24_19 = e20 & op2(e21, e20) = e20
% 242.23/47.84  
% 242.23/47.84  Begin of proof
% 242.23/47.84  | 
% 242.23/47.84  | ALPHA: (12) implies:
% 242.23/47.84  |   (13)  op2(e21, e20) = e20
% 242.23/47.84  | 
% 242.23/47.84  | BETA: splitting (8) gives:
% 242.23/47.84  | 
% 242.23/47.84  | Case 1:
% 242.23/47.84  | | 
% 242.23/47.84  | |   (14)  unit2 = e24
% 242.23/47.84  | | 
% 242.23/47.84  | | REDUCE: (1), (14) imply:
% 242.23/47.84  | |   (15)  op2(e23, e24) = e23
% 242.23/47.84  | | 
% 242.23/47.84  | | REF_CLOSE: (3), (4), (5), (15) are inconsistent by sub-proof #965.
% 242.23/47.84  | | 
% 242.23/47.84  | Case 2:
% 242.23/47.84  | | 
% 242.23/47.84  | |   (16)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.84  | | 
% 242.23/47.84  | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (11), (13), (16) are
% 242.23/47.84  | |            inconsistent by sub-proof #780.
% 242.23/47.84  | | 
% 242.23/47.84  | End of split
% 242.23/47.84  | 
% 242.23/47.84  End of proof
% 242.23/47.84  
% 242.23/47.84  Sub-proof #279 shows that the following formulas are inconsistent:
% 242.23/47.84  ----------------------------------------------------------------
% 242.23/47.84    (1)  op2(e23, unit2) = e23
% 242.23/47.84    (2)   ~ (e24 = e20)
% 242.23/47.84    (3)   ~ (e23 = e21)
% 242.23/47.84    (4)  op2(e23, e21) = e24
% 242.23/47.84    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.84           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.84           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.84    (6)  op2(e23, e23) = e21
% 242.23/47.84    (7)  all_24_2 = e22
% 242.23/47.84    (8)   ~ (e23 = e22)
% 242.23/47.84    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.84    (10)  op2(e23, e24) = e22
% 242.23/47.84    (11)   ~ (e23 = e20)
% 242.23/47.84    (12)   ~ (e24 = e21)
% 242.23/47.84    (13)   ~ (e22 = e21)
% 242.23/47.84    (14)  op2(e24, unit2) = e24
% 242.23/47.84    (15)  op2(e23, e22) = e20
% 242.23/47.84    (16)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.23/47.84    (17)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 242.23/47.84              e20) = e20)
% 242.23/47.84    (18)   ~ (e21 = e20)
% 242.23/47.84    (19)   ~ (e24 = e22)
% 242.23/47.84    (20)   ~ (e24 = e23)
% 242.23/47.84    (21)  op2(e23, e21) = all_10_1
% 242.23/47.84    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.84    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.84  
% 242.23/47.84  Begin of proof
% 242.23/47.84  | 
% 242.23/47.84  | BETA: splitting (17) gives:
% 242.23/47.84  | 
% 242.23/47.84  | Case 1:
% 242.23/47.84  | | 
% 242.23/47.84  | |   (24)  all_24_16 = e20 & op2(e24, e20) = e20
% 242.23/47.84  | | 
% 242.23/47.84  | | ALPHA: (24) implies:
% 242.23/47.84  | |   (25)  op2(e24, e20) = e20
% 242.23/47.84  | | 
% 242.23/47.84  | | REF_CLOSE: (1), (4), (8), (9), (10), (11), (14), (15), (16), (20), (21),
% 242.23/47.84  | |            (25) are inconsistent by sub-proof #885.
% 242.23/47.84  | | 
% 242.23/47.84  | Case 2:
% 242.23/47.84  | | 
% 242.23/47.84  | |   (26)  all_24_17 = e20 & op2(e23, e20) = e20
% 242.23/47.84  | | 
% 242.23/47.84  | | ALPHA: (26) implies:
% 242.23/47.84  | |   (27)  all_24_17 = e20
% 242.23/47.84  | | 
% 242.23/47.84  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (15),
% 242.23/47.84  | |            (18), (19), (20), (21), (22), (23), (27) are inconsistent by
% 242.23/47.84  | |            sub-proof #888.
% 242.23/47.84  | | 
% 242.23/47.84  | End of split
% 242.23/47.84  | 
% 242.23/47.84  End of proof
% 242.23/47.84  
% 242.23/47.84  Sub-proof #280 shows that the following formulas are inconsistent:
% 242.23/47.84  ----------------------------------------------------------------
% 242.23/47.84    (1)   ~ (e24 = e20)
% 242.23/47.84    (2)   ~ (e23 = e21)
% 242.23/47.84    (3)  op2(e23, e21) = e24
% 242.23/47.84    (4)   ~ (all_16_1 = e21)
% 242.23/47.84    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.84           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.84           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.84    (6)  op2(e23, e23) = e21
% 242.23/47.84    (7)  all_24_2 = e22
% 242.23/47.84    (8)   ~ (e23 = e22)
% 242.23/47.84    (9)   ~ (e22 = e20)
% 242.23/47.84    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.84            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.84    (11)  all_24_13 = e20
% 242.23/47.84    (12)  all_24_7 = e24
% 242.23/47.84    (13)   ~ (e23 = e20)
% 242.23/47.84    (14)  op2(e24, e23) = e22
% 242.23/47.84    (15)   ~ (e24 = e21)
% 242.23/47.84    (16)   ~ (e22 = e21)
% 242.23/47.84    (17)   ~ (all_16_1 = e20)
% 242.23/47.84    (18)  op2(e23, e22) = e20
% 242.23/47.84    (19)   ~ (all_16_1 = e23)
% 242.23/47.84    (20)  all_24_1 = e22
% 242.23/47.84    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.84            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.23/47.84            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.23/47.84    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.23/47.84            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.23/47.84            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.23/47.84    (23)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.23/47.84    (24)  all_24_14 = e24
% 242.23/47.84    (25)   ~ (e21 = e20)
% 242.23/47.84    (26)   ~ (e24 = e22)
% 242.23/47.84    (27)  all_24_17 = e23
% 242.23/47.84    (28)  op2(e23, e24) = all_16_1
% 242.23/47.84    (29)   ~ (e24 = e23)
% 242.23/47.84    (30)  op2(e23, e21) = all_10_1
% 242.23/47.84    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.84            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.23/47.84            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.23/47.84    (32)  all_20_5 = all_16_1
% 242.23/47.84    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.84    (34)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.23/47.84    (35)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.23/47.84            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.23/47.84            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.23/47.84    (36)  all_24_3 = e21
% 242.23/47.84    (37)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.84  
% 242.23/47.84  Begin of proof
% 242.23/47.84  | 
% 242.23/47.84  | ALPHA: (34) implies:
% 242.23/47.84  |   (38)  all_24_14 = e22
% 242.23/47.84  | 
% 242.23/47.84  | COMBINE_EQS: (24), (38) imply:
% 242.23/47.84  |   (39)  e24 = e22
% 242.23/47.84  | 
% 242.23/47.84  | COMBINE_EQS: (12), (39) imply:
% 242.23/47.84  |   (40)  all_24_7 = e22
% 242.23/47.84  | 
% 242.23/47.84  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 242.23/47.84  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (25),
% 242.23/47.84  |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36), (37),
% 242.23/47.84  |            (40) are inconsistent by sub-proof #761.
% 242.23/47.84  | 
% 242.23/47.84  End of proof
% 242.23/47.84  
% 242.23/47.84  Sub-proof #281 shows that the following formulas are inconsistent:
% 242.23/47.84  ----------------------------------------------------------------
% 242.23/47.84    (1)   ~ (e24 = e20)
% 242.23/47.84    (2)   ~ (e23 = e21)
% 242.23/47.84    (3)  op2(e23, e21) = e24
% 242.23/47.84    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.23/47.84           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.23/47.84           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.23/47.84    (5)  op2(e23, e23) = e21
% 242.23/47.84    (6)  all_24_2 = e22
% 242.23/47.84    (7)   ~ (e23 = e22)
% 242.23/47.84    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.84    (9)   ~ (e23 = e20)
% 242.23/47.84    (10)   ~ (e24 = e21)
% 242.23/47.84    (11)   ~ (e22 = e21)
% 242.23/47.84    (12)  op2(e23, e22) = e20
% 242.23/47.84    (13)  all_24_23 = e23
% 242.23/47.84    (14)  all_24_23 = e20 & op2(e20, e21) = e20
% 242.23/47.84    (15)   ~ (e21 = e20)
% 242.23/47.84    (16)   ~ (e24 = e22)
% 242.23/47.84    (17)  all_24_17 = e23
% 242.23/47.84    (18)   ~ (e24 = e23)
% 242.23/47.84    (19)  op2(e23, e21) = all_10_1
% 242.23/47.84    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.23/47.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.23/47.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.23/47.84    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.23/47.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.23/47.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.23/47.84  
% 242.23/47.84  Begin of proof
% 242.23/47.84  | 
% 242.23/47.84  | ALPHA: (14) implies:
% 242.23/47.84  |   (22)  all_24_23 = e20
% 242.23/47.84  | 
% 242.23/47.84  | COMBINE_EQS: (13), (22) imply:
% 242.23/47.84  |   (23)  e23 = e20
% 242.23/47.84  | 
% 242.23/47.84  | COMBINE_EQS: (17), (23) imply:
% 242.23/47.84  |   (24)  all_24_17 = e20
% 242.23/47.84  | 
% 242.23/47.84  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 242.23/47.84  |            (15), (16), (18), (19), (20), (21), (24) are inconsistent by
% 242.23/47.84  |            sub-proof #888.
% 242.23/47.84  | 
% 242.23/47.84  End of proof
% 242.23/47.84  
% 242.23/47.84  Sub-proof #282 shows that the following formulas are inconsistent:
% 242.23/47.84  ----------------------------------------------------------------
% 242.23/47.84    (1)   ~ (e23 = e21)
% 242.23/47.84    (2)  op2(e23, e21) = e24
% 242.23/47.84    (3)  op2(e23, e23) = e21
% 242.23/47.84    (4)  all_24_2 = e22
% 242.23/47.84    (5)   ~ (e23 = e22)
% 242.23/47.84    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.23/47.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.23/47.84    (7)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.23/47.84    (8)   ~ (e23 = e20)
% 242.23/47.84    (9)   ~ (e24 = e21)
% 242.23/47.84    (10)  op2(e23, e22) = e20
% 242.23/47.84    (11)  all_24_23 = e23
% 242.23/47.84    (12)   ~ (e24 = e22)
% 242.23/47.84    (13)  all_24_17 = e23
% 242.23/47.84    (14)   ~ (e24 = e23)
% 242.23/47.84    (15)  op2(e23, e21) = all_10_1
% 242.61/47.84    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.61/47.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.61/47.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.61/47.84    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.61/47.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.61/47.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.61/47.84  
% 242.61/47.84  Begin of proof
% 242.61/47.84  | 
% 242.61/47.84  | ALPHA: (7) implies:
% 242.61/47.84  |   (18)  all_24_23 = e21
% 242.61/47.84  | 
% 242.61/47.84  | COMBINE_EQS: (11), (18) imply:
% 242.61/47.84  |   (19)  e23 = e21
% 242.61/47.84  | 
% 242.61/47.84  | SIMP: (19) implies:
% 242.61/47.84  |   (20)  e23 = e21
% 242.61/47.84  | 
% 242.61/47.84  | COMBINE_EQS: (13), (20) imply:
% 242.61/47.84  |   (21)  all_24_17 = e21
% 242.61/47.84  | 
% 242.61/47.84  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (12), (14), (15),
% 242.61/47.85  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 242.61/47.85  | 
% 242.61/47.85  End of proof
% 242.61/47.85  
% 242.61/47.85  Sub-proof #283 shows that the following formulas are inconsistent:
% 242.61/47.85  ----------------------------------------------------------------
% 242.61/47.85    (1)   ~ (e23 = e21)
% 242.61/47.85    (2)  op2(e23, e21) = e24
% 242.61/47.85    (3)  op2(e23, e23) = e21
% 242.61/47.85    (4)   ~ (e23 = e22)
% 242.61/47.85    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.61/47.85           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.61/47.85    (6)  op2(e23, e24) = e22
% 242.61/47.85    (7)   ~ (e23 = e20)
% 242.61/47.85    (8)  all_24_23 = e22 & op2(e20, e21) = e22
% 242.61/47.85    (9)  op2(e23, e22) = e20
% 242.61/47.85    (10)  all_24_23 = e23
% 242.61/47.85    (11)  all_24_17 = e23
% 242.61/47.85    (12)   ~ (e24 = e23)
% 242.61/47.85    (13)  op2(e23, e21) = all_10_1
% 242.61/47.85    (14)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.61/47.85            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.61/47.85            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.61/47.85  
% 242.61/47.85  Begin of proof
% 242.61/47.85  | 
% 242.61/47.85  | ALPHA: (8) implies:
% 242.61/47.85  |   (15)  all_24_23 = e22
% 242.61/47.85  | 
% 242.61/47.85  | COMBINE_EQS: (10), (15) imply:
% 242.61/47.85  |   (16)  e23 = e22
% 242.61/47.85  | 
% 242.61/47.85  | SIMP: (16) implies:
% 242.61/47.85  |   (17)  e23 = e22
% 242.61/47.85  | 
% 242.61/47.85  | COMBINE_EQS: (11), (17) imply:
% 242.61/47.85  |   (18)  all_24_17 = e22
% 242.61/47.85  | 
% 242.61/47.85  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (12), (13), (14), (18) are
% 242.61/47.85  |            inconsistent by sub-proof #795.
% 242.61/47.85  | 
% 242.61/47.85  End of proof
% 242.61/47.85  
% 242.61/47.85  Sub-proof #284 shows that the following formulas are inconsistent:
% 242.61/47.85  ----------------------------------------------------------------
% 242.61/47.85    (1)   ~ (e23 = e21)
% 242.61/47.85    (2)  op2(e23, e21) = e24
% 242.61/47.85    (3)  op2(e23, e23) = e21
% 242.61/47.85    (4)   ~ (e23 = e22)
% 242.61/47.85    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.61/47.85           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.61/47.85    (6)  op2(e23, e24) = e22
% 242.61/47.85    (7)   ~ (e23 = e20)
% 242.61/47.85    (8)  all_24_9 = e23
% 242.61/47.85    (9)  op2(e23, e22) = e20
% 242.61/47.85    (10)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 242.61/47.85              e21) = e22)
% 242.61/47.85    (11)   ~ (e24 = e22)
% 242.61/47.85    (12)  all_24_17 = e23
% 242.61/47.85    (13)   ~ (e24 = e23)
% 242.61/47.85    (14)  op2(e23, e21) = all_10_1
% 242.61/47.85    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.61/47.85            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.61/47.85            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.61/47.85  
% 242.61/47.85  Begin of proof
% 242.61/47.85  | 
% 242.61/47.85  | BETA: splitting (10) gives:
% 242.61/47.85  | 
% 242.61/47.85  | Case 1:
% 242.61/47.85  | | 
% 242.61/47.85  | |   (16)  all_24_9 = e22 & op2(e24, e21) = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | ALPHA: (16) implies:
% 242.61/47.85  | |   (17)  all_24_9 = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | COMBINE_EQS: (8), (17) imply:
% 242.61/47.85  | |   (18)  e23 = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | SIMP: (18) implies:
% 242.61/47.85  | |   (19)  e23 = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | COMBINE_EQS: (12), (19) imply:
% 242.61/47.85  | |   (20)  all_24_17 = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (13), (14), (15), (20)
% 242.61/47.85  | |            are inconsistent by sub-proof #795.
% 242.61/47.85  | | 
% 242.61/47.85  | Case 2:
% 242.61/47.85  | | 
% 242.61/47.85  | |   (21)  all_24_10 = e22 & op2(e23, e21) = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | ALPHA: (21) implies:
% 242.61/47.85  | |   (22)  op2(e23, e21) = e22
% 242.61/47.85  | | 
% 242.61/47.85  | | REF_CLOSE: (2), (5), (11), (14), (22) are inconsistent by sub-proof #963.
% 242.61/47.85  | | 
% 242.61/47.85  | End of split
% 242.61/47.85  | 
% 242.61/47.85  End of proof
% 242.61/47.85  
% 242.61/47.85  Sub-proof #285 shows that the following formulas are inconsistent:
% 242.61/47.85  ----------------------------------------------------------------
% 242.61/47.85    (1)  op2(e24, e22) = all_16_10
% 242.61/47.85    (2)  all_24_7 = e20
% 242.61/47.85    (3)  op2(e23, e20) = e23
% 242.61/47.85    (4)  op2(e20, e23) = e23
% 242.61/47.85    (5)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 242.61/47.85           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 242.61/47.85           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.61/47.85    (6)  op2(e21, e23) = e24
% 242.61/47.85    (7)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.61/47.85           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.61/47.85           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.61/47.85    (8)  all_24_19 = e20
% 242.61/47.85    (9)  op2(e20, e22) = all_4_0
% 242.61/47.85    (10)   ~ (all_16_15 = e24)
% 242.61/47.85    (11)  op2(e21, e22) = all_16_13
% 242.61/47.85    (12)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.61/47.85              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.61/47.85            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.61/47.85    (13)  op2(e20, e24) = all_16_4
% 242.61/47.85    (14)  all_24_23 = e20
% 242.61/47.85    (15)   ~ (e24 = e20)
% 242.61/47.85    (16)   ~ (e23 = e21)
% 242.61/47.85    (17)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.61/47.85              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.61/47.85            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.61/47.85    (18)  op2(e23, e21) = e24
% 242.61/47.85    (19)   ~ (all_16_1 = e21)
% 242.61/47.85    (20)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.61/47.85            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.61/47.85            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.61/47.85    (21)  op2(e23, e23) = e21
% 242.61/47.85    (22)  op2(e22, e20) = all_16_22
% 242.61/47.85    (23)  op2(e22, e24) = all_16_2
% 242.61/47.85    (24)  all_24_2 = e22
% 242.61/47.85    (25)   ~ (e23 = e22)
% 242.61/47.85    (26)  all_24_0 = e20
% 242.61/47.85    (27)   ~ (e22 = e20)
% 242.61/47.85    (28)  op2(e21, e23) = all_16_8
% 242.61/47.85    (29)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 242.61/47.85            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 242.61/47.85            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 242.61/47.85    (30)  op2(e24, e20) = all_12_1
% 242.61/47.85    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.61/47.85            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.61/47.85    (32)  op2(e23, e24) = e22
% 242.61/47.85    (33)  all_24_21 = e23
% 242.61/47.85    (34)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 242.61/47.85            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 242.61/47.85            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.61/47.85    (35)   ~ (e23 = e20)
% 242.61/47.85    (36)  all_24_9 = e23
% 242.61/47.85    (37)   ~ (all_16_7 = e23)
% 242.61/47.85    (38)  op2(e24, e23) = e22
% 242.61/47.85    (39)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 242.61/47.85            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 242.61/47.85            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 242.61/47.85    (40)   ~ (e24 = e21)
% 242.61/47.85    (41)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 242.61/47.85              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 242.61/47.85            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.61/47.85    (42)   ~ (e22 = e21)
% 242.61/47.85    (43)   ~ (all_16_1 = e20)
% 242.61/47.85    (44)   ~ (all_16_17 = e24)
% 242.61/47.85    (45)  op2(e20, e21) = e20
% 242.61/47.85    (46)  op2(e23, e22) = e20
% 242.61/47.85    (47)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 242.61/47.85            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.61/47.85              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 242.61/47.85            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 242.61/47.85            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 242.61/47.85            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 242.61/47.85            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.85          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 242.61/47.85            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.61/47.85              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 242.61/47.85            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 242.61/47.85            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 242.61/47.85            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 242.61/47.85            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.85          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 242.61/47.85            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.85              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 242.61/47.85            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 242.61/47.85              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 242.61/47.85            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 242.61/47.85              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 242.61/47.85          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 242.61/47.85            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 242.61/47.85              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 242.61/47.85            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 242.61/47.85              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 242.61/47.85            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 242.61/47.85              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.85          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 242.61/47.85            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 242.61/47.85              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 242.61/47.85            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 242.61/47.85              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 242.61/47.85            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 242.61/47.85              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 242.61/47.85          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 242.61/47.85            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.61/47.85              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 242.61/47.85            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 242.61/47.85              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 242.61/47.85            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 242.61/47.85              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.85          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 242.61/47.85            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.61/47.85              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 242.61/47.85            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 242.61/47.85              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 242.61/47.85            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 242.61/47.85              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.85          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 242.61/47.85            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.85              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 242.61/47.85            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 242.61/47.85              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 242.61/47.85            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 242.61/47.85              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 242.61/47.85          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 242.61/47.85            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.61/47.85              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 242.61/47.85            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 242.61/47.85              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 242.61/47.85            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 242.61/47.85              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.85          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 242.61/47.85            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.85              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 242.61/47.85            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 242.61/47.85              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 242.61/47.85            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 242.61/47.85              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.61/47.85    (48)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 242.61/47.85            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 242.61/47.85            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 242.61/47.85    (49)   ~ (all_16_1 = e23)
% 242.61/47.85    (50)  op2(e20, all_8_2) = all_8_1
% 242.61/47.85    (51)  all_24_12 = e23
% 242.61/47.85    (52)  all_24_13 = e24
% 242.61/47.85    (53)  all_24_8 = e23
% 242.61/47.85    (54)  all_24_1 = e22
% 242.61/47.86    (55)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.61/47.86            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.61/47.86            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.61/47.86    (56)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 242.61/47.86            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.61/47.86            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.61/47.86    (57)  op2(e22, e21) = all_16_17
% 242.61/47.86    (58)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.61/47.86            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.61/47.86            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.61/47.86    (59)   ~ (all_16_8 = e23)
% 242.61/47.86    (60)  op2(e22, e23) = all_16_7
% 242.61/47.86    (61)   ~ (all_16_19 = e24)
% 242.61/47.86    (62)  op2(e21, e21) = all_6_2
% 242.61/47.86    (63)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.61/47.86            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.61/47.86            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.61/47.86    (64)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.61/47.86    (65)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 242.61/47.86            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 242.61/47.86            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.61/47.86    (66)  op2(e22, e23) = e20
% 242.61/47.86    (67)   ~ (e21 = e20)
% 242.61/47.86    (68)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 242.61/47.86            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 242.61/47.86            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.61/47.86    (69)  op2(e24, e21) = all_16_15
% 242.61/47.86    (70)   ~ (e24 = e22)
% 242.61/47.86    (71)  op2(e20, e20) = all_8_2
% 242.61/47.86    (72)  all_24_17 = e23
% 242.61/47.86    (73)  op2(e21, e21) = e22
% 242.61/47.86    (74)  op2(e23, e24) = all_16_1
% 242.61/47.86    (75)   ~ (e24 = e23)
% 242.61/47.86    (76)  op2(e23, e21) = all_10_1
% 242.61/47.86    (77)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.61/47.86            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.61/47.86            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.61/47.86    (78)  op2(e20, e21) = all_16_19
% 242.61/47.86    (79)  all_20_5 = all_16_1
% 242.61/47.86    (80)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.61/47.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.61/47.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.61/47.86    (81)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 242.61/47.86            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 242.61/47.86            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 242.61/47.86    (82)  all_24_5 = e20
% 242.61/47.86    (83)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.61/47.86            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.61/47.86            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.61/47.86    (84)  op2(e24, e21) = e23
% 242.61/47.86    (85)  all_24_3 = e21
% 242.61/47.86    (86)  all_24_15 = e22
% 242.61/47.86    (87)  op2(e21, e24) = e23
% 242.61/47.86    (88)  op2(e21, e20) = e20
% 242.61/47.86    (89)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.61/47.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.61/47.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.61/47.86  
% 242.61/47.86  Begin of proof
% 242.61/47.86  | 
% 242.61/47.86  | BETA: splitting (12) gives:
% 242.61/47.86  | 
% 242.61/47.86  | Case 1:
% 242.61/47.86  | | 
% 242.61/47.86  | |   (90)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 242.61/47.86  | |           op2(e21, e23) = e21)
% 242.61/47.86  | | 
% 242.61/47.86  | | BETA: splitting (90) gives:
% 242.61/47.86  | | 
% 242.61/47.86  | | Case 1:
% 242.61/47.86  | | | 
% 242.61/47.86  | | |   (91)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.61/47.86  | | | 
% 242.61/47.86  | | | REF_CLOSE: (16), (18), (21), (24), (25), (31), (35), (40), (46), (51),
% 242.61/47.86  | | |            (70), (72), (75), (76), (80), (89), (91) are inconsistent by
% 242.61/47.86  | | |            sub-proof #747.
% 242.61/47.86  | | | 
% 242.61/47.86  | | Case 2:
% 242.61/47.86  | | | 
% 242.61/47.86  | | |   (92)  all_24_13 = e21 & op2(e21, e23) = e21
% 242.61/47.86  | | | 
% 242.61/47.86  | | | REF_CLOSE: (40), (52), (92) are inconsistent by sub-proof #582.
% 242.61/47.86  | | | 
% 242.61/47.86  | | End of split
% 242.61/47.86  | | 
% 242.61/47.86  | Case 2:
% 242.61/47.86  | | 
% 242.61/47.86  | |   (93)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 242.61/47.86  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.61/47.86  | | 
% 242.61/47.86  | | BETA: splitting (93) gives:
% 242.61/47.86  | | 
% 242.61/47.86  | | Case 1:
% 242.61/47.86  | | | 
% 242.61/47.86  | | |   (94)  all_24_14 = e21 & op2(e21, e22) = e21
% 242.61/47.86  | | | 
% 242.61/47.86  | | | ALPHA: (94) implies:
% 242.61/47.86  | | |   (95)  all_24_14 = e21
% 242.61/47.86  | | |   (96)  op2(e21, e22) = e21
% 242.61/47.86  | | | 
% 242.61/47.86  | | | BETA: splitting (48) gives:
% 242.61/47.86  | | | 
% 242.61/47.86  | | | Case 1:
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | |   (97)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 &
% 242.61/47.86  | | | |           op2(e23, e22) = e22)
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | | REF_CLOSE: (10), (15), (16), (18), (21), (24), (25), (26), (27), (31),
% 242.61/47.86  | | | |            (34), (35), (36), (38), (40), (42), (46), (54), (55), (63),
% 242.61/47.86  | | | |            (67), (69), (70), (72), (75), (76), (80), (82), (89), (97)
% 242.61/47.86  | | | |            are inconsistent by sub-proof #857.
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | Case 2:
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | |   (98)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 242.61/47.86  | | | |           op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | | BETA: splitting (98) gives:
% 242.61/47.86  | | | | 
% 242.61/47.86  | | | | Case 1:
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | |   (99)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | | REF_CLOSE: (16), (18), (19), (21), (25), (31), (35), (43), (46), (49),
% 242.61/47.86  | | | | |            (53), (64), (72), (74), (75), (76), (79), (89), (99) are
% 242.61/47.86  | | | | |            inconsistent by sub-proof #854.
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | Case 2:
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | |   (100)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 242.61/47.86  | | | | |            op2(e20, e22) = e22)
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | | BETA: splitting (100) gives:
% 242.61/47.86  | | | | | 
% 242.61/47.86  | | | | | Case 1:
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | |   (101)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | | ALPHA: (101) implies:
% 242.61/47.86  | | | | | |   (102)  all_24_14 = e22
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31), (35),
% 242.61/47.86  | | | | | |            (40), (42), (46), (63), (70), (75), (76), (80), (82),
% 242.61/47.86  | | | | | |            (89), (95), (102) are inconsistent by sub-proof #757.
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | Case 2:
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | |   (103)  all_24_22 = e22 & op2(e20, e22) = e22
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | | ALPHA: (103) implies:
% 242.61/47.86  | | | | | |   (104)  all_24_22 = e22
% 242.61/47.86  | | | | | |   (105)  op2(e20, e22) = e22
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | | BETA: splitting (56) gives:
% 242.61/47.86  | | | | | | 
% 242.61/47.86  | | | | | | Case 1:
% 242.61/47.86  | | | | | | | 
% 242.61/47.86  | | | | | | |   (106)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24
% 242.61/47.86  | | | | | | |            & op2(e23, e22) = e24)
% 242.61/47.86  | | | | | | | 
% 242.61/47.86  | | | | | | | BETA: splitting (106) gives:
% 242.61/47.86  | | | | | | | 
% 242.61/47.86  | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | 
% 242.61/47.86  | | | | | | | |   (107)  all_24_4 = e24 & op2(e24, e22) = e24
% 242.61/47.86  | | | | | | | | 
% 242.61/47.86  | | | | | | | | ALPHA: (107) implies:
% 242.61/47.86  | | | | | | | |   (108)  all_24_4 = e24
% 242.61/47.86  | | | | | | | |   (109)  op2(e24, e22) = e24
% 242.61/47.86  | | | | | | | | 
% 242.61/47.86  | | | | | | | | BETA: splitting (34) gives:
% 242.61/47.86  | | | | | | | | 
% 242.61/47.86  | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | |   (110)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 =
% 242.61/47.86  | | | | | | | | |            e21 & op2(e24, e23) = e21)
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | BETA: splitting (110) gives:
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | |   (111)  all_24_0 = e21 & op2(e24, e24) = e21
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | ALPHA: (111) implies:
% 242.61/47.86  | | | | | | | | | |   (112)  all_24_0 = e21
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | COMBINE_EQS: (26), (112) imply:
% 242.61/47.86  | | | | | | | | | |   (113)  e21 = e20
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | SIMP: (113) implies:
% 242.61/47.86  | | | | | | | | | |   (114)  e21 = e20
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | COMBINE_EQS: (95), (114) imply:
% 242.61/47.86  | | | | | | | | | |   (115)  all_24_14 = e20
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31),
% 242.61/47.86  | | | | | | | | | |            (35), (40), (42), (46), (53), (63), (67), (68),
% 242.61/47.86  | | | | | | | | | |            (70), (72), (75), (76), (80), (82), (89), (104),
% 242.61/47.86  | | | | | | | | | |            (108), (115) are inconsistent by sub-proof #848.
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | |   (116)  all_24_1 = e21 & op2(e24, e23) = e21
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | REF_CLOSE: (31), (38), (42), (116) are inconsistent by
% 242.61/47.86  | | | | | | | | | |            sub-proof #866.
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | End of split
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | |   (117)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 =
% 242.61/47.86  | | | | | | | | |            e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 242.61/47.86  | | | | | | | | |            op2(e24, e20) = e21)
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | BETA: splitting (117) gives:
% 242.61/47.86  | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | |   (118)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | REF_CLOSE: (40), (108), (118) are inconsistent by sub-proof
% 242.61/47.86  | | | | | | | | | |            #759.
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | |   (119)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16
% 242.61/47.86  | | | | | | | | | |            = e21 & op2(e24, e20) = e21)
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | BETA: splitting (119) gives:
% 242.61/47.86  | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | |   (120)  all_24_9 = e21 & op2(e24, e21) = e21
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | REF_CLOSE: (16), (18), (21), (24), (25), (31), (35), (36),
% 242.61/47.86  | | | | | | | | | | |            (40), (46), (70), (72), (75), (76), (80), (89),
% 242.61/47.86  | | | | | | | | | | |            (120) are inconsistent by sub-proof #864.
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | |   (121)  all_24_16 = e21 & op2(e24, e20) = e21
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | ALPHA: (121) implies:
% 242.61/47.86  | | | | | | | | | | |   (122)  all_24_16 = e21
% 242.61/47.86  | | | | | | | | | | |   (123)  op2(e24, e20) = e21
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | BETA: splitting (41) gives:
% 242.61/47.86  | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | |   (124)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 242.61/47.86  | | | | | | | | | | | |          (all_24_10 = e21 & op2(e23, e21) = e21)
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | BETA: splitting (124) gives:
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | |   (125)  all_24_9 = e21 & op2(e24, e21) = e21
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | REF_CLOSE: (16), (18), (21), (24), (25), (31), (35), (36),
% 242.61/47.86  | | | | | | | | | | | | |            (40), (46), (70), (72), (75), (76), (80), (89),
% 242.61/47.86  | | | | | | | | | | | | |            (125) are inconsistent by sub-proof #864.
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | |   (126)  all_24_10 = e21 & op2(e23, e21) = e21
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | REF_CLOSE: (18), (31), (40), (76), (126) are inconsistent by
% 242.61/47.86  | | | | | | | | | | | | |            sub-proof #789.
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | End of split
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | |   (127)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 242.61/47.86  | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 242.61/47.86  | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | BETA: splitting (127) gives:
% 242.61/47.86  | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | |   (128)  all_24_11 = e21 & op2(e22, e21) = e21
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | ALPHA: (128) implies:
% 242.61/47.86  | | | | | | | | | | | | |   (129)  all_24_11 = e21
% 242.61/47.86  | | | | | | | | | | | | |   (130)  op2(e22, e21) = e21
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | BETA: splitting (5) gives:
% 242.61/47.86  | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | |   (131)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 242.61/47.86  | | | | | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | REF_CLOSE: (7), (15), (16), (18), (20), (21), (24), (25),
% 242.61/47.86  | | | | | | | | | | | | | |            (27), (29), (31), (33), (35), (38), (39), (40),
% 242.61/47.86  | | | | | | | | | | | | | |            (42), (46), (51), (54), (58), (63), (67), (70),
% 242.61/47.86  | | | | | | | | | | | | | |            (72), (75), (76), (80), (82), (83), (85), (89),
% 242.61/47.86  | | | | | | | | | | | | | |            (131) are inconsistent by sub-proof #811.
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | |   (132)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 242.61/47.86  | | | | | | | | | | | | | |          (all_24_11 = e22 & op2(e22, e21) = e22) |
% 242.61/47.86  | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 242.61/47.86  | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | |   (133)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (19), (21), (25), (31), (35), (43),
% 242.61/47.86  | | | | | | | | | | | | | | |            (46), (49), (53), (64), (72), (74), (75), (76),
% 242.61/47.86  | | | | | | | | | | | | | | |            (79), (89), (133) are inconsistent by sub-proof
% 242.61/47.86  | | | | | | | | | | | | | | |            #854.
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | |   (134)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 242.61/47.86  | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 242.61/47.86  | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | |   (135)  all_24_11 = e22 & op2(e22, e21) = e22
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 242.61/47.86  | | | | | | | | | | | | | | | |   (136)  all_24_11 = e22
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31),
% 242.61/47.86  | | | | | | | | | | | | | | | |            (35), (40), (42), (46), (63), (70), (75), (76),
% 242.61/47.86  | | | | | | | | | | | | | | | |            (80), (82), (89), (129), (136) are inconsistent by
% 242.61/47.86  | | | | | | | | | | | | | | | |            sub-proof #792.
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | Case 2:
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | |   (137)  all_24_18 = e22 & op2(e22, e20) = e22
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 242.61/47.86  | | | | | | | | | | | | | | | |   (138)  all_24_18 = e22
% 242.61/47.86  | | | | | | | | | | | | | | | |   (139)  op2(e22, e20) = e22
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 242.61/47.86  | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | |   (140)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 242.61/47.86  | | | | | | | | | | | | | | | | |            = e24 & op2(e22, e23) = e24)
% 242.61/47.86  | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 242.61/47.86  | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | |   (141)  all_24_6 = e24 & op2(e22, e24) = e24
% 242.61/47.86  | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 242.61/47.86  | | | | | | | | | | | | | | | | | |   (142)  all_24_6 = e24
% 242.61/47.86  | | | | | | | | | | | | | | | | | |   (143)  op2(e22, e24) = e24
% 242.61/47.86  | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 242.61/47.86  | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | |   (144)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 242.61/47.86  | | | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.86  | | | | | | | | | | | | | | | | | | | |   (145)  all_24_0 = e21 & op2(e24, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (146)  all_24_0 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (146) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (147)  e21 = e20
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | SIMP: (147) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (148)  e21 = e20
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (148) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (149)  all_24_11 = e20
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (15), (16), (18), (20), (21), (24),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (25), (27), (31), (33), (35), (38), (40), (42),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (44), (46), (52), (53), (57), (65), (67), (70),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (72), (75), (76), (80), (81), (83), (89), (139),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (149) are inconsistent by sub-proof #312.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (150)  all_24_2 = e21 & op2(e23, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (151)  all_24_2 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (21), (25), (27), (31), (35),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (40), (42), (46), (63), (70), (75), (76), (80),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (82), (89), (151) are inconsistent by sub-proof
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            #1298.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | |   (152)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (153)  all_24_6 = e21 & op2(e22, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (154)  all_24_6 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (15), (31), (40), (44), (53), (57), (65),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            (70), (75), (138), (154) are inconsistent by
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #801.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |   (155)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |   (156)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (21), (24), (25), (31), (35), (40),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |            (46), (51), (70), (72), (75), (76), (80), (89),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |            (156) are inconsistent by sub-proof #873.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |   (157)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |   (158)  all_24_20 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | |   (159)  op2(e20, e24) = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | |   (160)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (161)  all_24_20 = e24 & op2(e20, e24) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_24_20 = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (158), (162) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (163)  e24 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (163) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_24_6 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (15), (31), (40), (44), (53), (57), (65),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            (70), (75), (138), (164) are inconsistent by
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #801.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_24_21 = e24 & op2(e20, e23) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (25), (28), (31), (37), (38), (59),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            (60), (75), (77), (165) are inconsistent by
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | |   (166)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_24_22 = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (104), (168) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (169)  e24 = e22
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (169) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_24_4 = e22
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (26), (31), (40), (54), (55), (69),
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            (70), (122), (170) are inconsistent by sub-proof
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |            #859.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_24_23 = e24 & op2(e20, e21) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  op2(e20, e21) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (61), (78), (173) are inconsistent by
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #769.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_24_24 = e24 & op2(e20, e20) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (175)  op2(e20, e20) = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_8_2, e24, e20, e20,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (175) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_8_2 = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_4_0, e22, e22, e20,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (9), (105) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_4_0 = e22
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_4, e21, e24, e20,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (13), (159) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_16_4 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_6_2, e22, e21, e21,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (62), (73) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_6_2 = e22
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_13, e21, e22, e21,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (11), (96) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_16_13 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_22, e22, e20, e22,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (22), (139) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_16_22 = e22
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_17, e21, e21, e22,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (57), (130) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_16_17 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_2, e24, e24, e22,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (23), (143) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_16_2 = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_12_1, e21, e20, e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (30), (123) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_12_1 = e21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_16_10, e24, e22, e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1), (109) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_16_10 = e24
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (176) imply:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op2(e20, e24) = all_8_1
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_0) & $i(all_22_10) & $i(all_22_11)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)   ~ (all_22_10 = all_22_11)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  op2(e23, e24) = all_22_10
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  op2(e24, e23) = all_22_11
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (38), (191), (192), (193) are
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_2) & $i(all_22_20) & $i(all_22_21)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_22_20 = all_22_21)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  op2(e22, e24) = all_22_20
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  op2(e24, e22) = all_22_21
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (109), (143), (195), (196), (197) are
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #303.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_4) & $i(all_22_32) & $i(all_22_33)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_22_32 = all_22_33)
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  op2(e21, e24) = all_22_32
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  op2(e24, e21) = all_22_33
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (84), (87), (200), (201), (202) are
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_6) & $i(all_22_46) & $i(all_22_47)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_22_46 = all_22_47)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  op2(e20, e24) = all_22_46
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  op2(e24, e20) = all_22_47
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (123), (159), (186), (205), (206), (207) are
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #287.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_8) & $i(all_22_10) & $i(all_22_11)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_22_10 = all_22_11)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  op2(e23, e24) = all_22_10
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  op2(e24, e23) = all_22_11
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (38), (209), (210), (211) are
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18), (31), (46), (66), (213) are
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #512.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (31), (46), (66), (109), (143), (214)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #300.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_26) & $i(all_22_40) & $i(all_22_41)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_22_40 = all_22_41)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  op2(e21, e22) = all_22_40
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op2(e22, e21) = all_22_41
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_22_40, e22, e21,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (96), (220) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_22_40 = e21
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_22_41, e21, e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (130), (221) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_22_41 = e21
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (222), (223) imply:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  $false
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_28) & $i(all_22_54) & $i(all_22_55)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)   ~ (all_22_54 = all_22_55)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  op2(e20, e22) = all_22_54
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  op2(e22, e20) = all_22_55
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (105), (139), (226), (227), (228) are
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_30) & $i(all_22_32) & $i(all_22_33)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_22_32 = all_22_33)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  op2(e21, e24) = all_22_32
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  op2(e24, e21) = all_22_33
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (84), (87), (231), (232), (233) are
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_34) & $i(all_22_36) & $i(all_22_37)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_22_36 = all_22_37)
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  op2(e21, e23) = all_22_36
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op2(e23, e21) = all_22_37
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18), (31), (236), (237), (238) are
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_38) & $i(all_22_40) & $i(all_22_41)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (all_22_38 = e22)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  op2(e21, e22) = all_22_40
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  op2(all_22_40, e21) = all_22_38
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_22_40, e22, e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (96), (241) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_22_40 = e21
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (242), (243) imply:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  op2(e21, e21) = all_22_38
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_22_38, e21, e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (73), (244) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_22_38 = e22
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (240), (245) imply:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  $false
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47))
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_42) & $i(all_22_58) & $i(all_22_59)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)   ~ (all_22_58 = all_22_59)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  op2(e20, e21) = all_22_58
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  op2(e21, e20) = all_22_59
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (45), (88), (250), (251), (252) are
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_44) & $i(all_22_46) & $i(all_22_47)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (all_22_46 = all_22_47)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  op2(e20, e24) = all_22_46
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op2(e24, e20) = all_22_47
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (123), (159), (186), (254), (255), (256) are
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #287.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_48) & $i(all_22_50) & $i(all_22_51)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (all_22_50 = all_22_51)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  op2(e20, e23) = all_22_50
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op2(e23, e20) = all_22_51
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (31), (259), (260), (261) are
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_52) & $i(all_22_54) & $i(all_22_55)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_22_54 = all_22_55)
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  op2(e20, e22) = all_22_54
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  op2(e22, e20) = all_22_55
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (105), (139), (264), (265), (266) are
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.61/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_56) & $i(all_22_58) & $i(all_22_59)
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_22_58 = all_22_59)
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  op2(e20, e21) = all_22_58
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  op2(e21, e20) = all_22_59
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (45), (88), (268), (269), (270) are
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (271)  all_24_7 = e24 & op2(e22, e23) = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (272)  all_24_7 = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (20), (21), (24), (25), (27),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (31), (33), (35), (38), (40), (42), (46), (52),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (67), (70), (72), (75), (76), (80), (83), (89),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (272) are inconsistent by sub-proof #831.
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | |   (273)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 242.79/47.89  | | | | | | | | | | | | | | | | |          (all_24_11 = e24 & op2(e22, e21) = e24) |
% 242.79/47.89  | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.79/47.89  | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 242.79/47.89  | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | Case 1:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (274)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (275)  all_24_8 = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (275) imply:
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (276)  e24 = e23
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (276) imply:
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (277)  all_24_13 = e23
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (20), (21), (24), (25), (27),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (31), (33), (35), (38), (40), (42), (46), (54),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (58), (67), (70), (72), (75), (76), (80), (83),
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            (85), (89), (277) are inconsistent by sub-proof
% 242.79/47.89  | | | | | | | | | | | | | | | | | |            #842.
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | |   (278)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 242.79/47.89  | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | Case 1:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |   (279)  all_24_11 = e24 & op2(e22, e21) = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (44), (57), (279) are inconsistent by
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |   (280)  all_24_18 = e24 & op2(e22, e20) = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |   (281)  all_24_18 = e24
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (138), (281) imply:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |   (282)  e24 = e22
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (282) imply:
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |   (283)  all_24_4 = e22
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (26), (31), (40), (54), (55), (69),
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |            (70), (122), (283) are inconsistent by sub-proof
% 242.79/47.89  | | | | | | | | | | | | | | | | | | |            #859.
% 242.79/47.89  | | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | |   (284)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 242.79/47.89  | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.79/47.89  | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | BETA: splitting (284) gives:
% 242.79/47.89  | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | Case 1:
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | |   (285)  all_24_15 = e21 & op2(e21, e21) = e21
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31),
% 242.79/47.89  | | | | | | | | | | | | | |            (35), (40), (42), (46), (63), (70), (75), (76),
% 242.79/47.89  | | | | | | | | | | | | | |            (80), (82), (86), (89), (285) are inconsistent by
% 242.79/47.89  | | | | | | | | | | | | | |            sub-proof #616.
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | |   (286)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | ALPHA: (286) implies:
% 242.79/47.89  | | | | | | | | | | | | | |   (287)  all_24_23 = e21
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | COMBINE_EQS: (14), (287) imply:
% 242.79/47.89  | | | | | | | | | | | | | |   (288)  e21 = e20
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | COMBINE_EQS: (95), (288) imply:
% 242.79/47.89  | | | | | | | | | | | | | |   (289)  all_24_14 = e20
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31),
% 242.79/47.89  | | | | | | | | | | | | | |            (35), (40), (42), (46), (53), (63), (67), (68),
% 242.79/47.89  | | | | | | | | | | | | | |            (70), (72), (75), (76), (80), (82), (89), (104),
% 242.79/47.89  | | | | | | | | | | | | | |            (108), (289) are inconsistent by sub-proof #848.
% 242.79/47.89  | | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | |   (290)  all_24_5 = e24 & op2(e23, e22) = e24
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | | REF_CLOSE: (15), (82), (290) are inconsistent by sub-proof
% 242.79/47.89  | | | | | | | |            #1301.
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | End of split
% 242.79/47.89  | | | | | | | 
% 242.79/47.89  | | | | | | Case 2:
% 242.79/47.89  | | | | | | | 
% 242.79/47.89  | | | | | | |   (291)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24
% 242.79/47.89  | | | | | | |            & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20,
% 242.79/47.89  | | | | | | |              e22) = e24)
% 242.79/47.89  | | | | | | | 
% 242.79/47.89  | | | | | | | BETA: splitting (291) gives:
% 242.79/47.89  | | | | | | | 
% 242.79/47.89  | | | | | | | Case 1:
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | |   (292)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | | REF_CLOSE: (15), (16), (18), (20), (21), (24), (25), (27), (31),
% 242.79/47.89  | | | | | | | |            (33), (35), (38), (40), (42), (46), (52), (53), (54),
% 242.79/47.89  | | | | | | | |            (58), (67), (70), (72), (75), (76), (80), (83), (85),
% 242.79/47.89  | | | | | | | |            (89), (292) are inconsistent by sub-proof #841.
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | |   (293)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 =
% 242.79/47.89  | | | | | | | |            e24 & op2(e20, e22) = e24)
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | | BETA: splitting (293) gives:
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | | Case 1:
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | |   (294)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | ALPHA: (294) implies:
% 242.79/47.89  | | | | | | | | |   (295)  all_24_14 = e24
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | REF_CLOSE: (40), (95), (295) are inconsistent by sub-proof
% 242.79/47.89  | | | | | | | | |            #629.
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | Case 2:
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | |   (296)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | | REF_CLOSE: (70), (104), (296) are inconsistent by sub-proof
% 242.79/47.89  | | | | | | | | |            #601.
% 242.79/47.89  | | | | | | | | | 
% 242.79/47.89  | | | | | | | | End of split
% 242.79/47.89  | | | | | | | | 
% 242.79/47.89  | | | | | | | End of split
% 242.79/47.89  | | | | | | | 
% 242.79/47.89  | | | | | | End of split
% 242.79/47.89  | | | | | | 
% 242.79/47.89  | | | | | End of split
% 242.79/47.89  | | | | | 
% 242.79/47.89  | | | | End of split
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | End of split
% 242.79/47.89  | | | 
% 242.79/47.89  | | Case 2:
% 242.79/47.89  | | | 
% 242.79/47.89  | | |   (297)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 242.79/47.89  | | |            op2(e21, e20) = e21)
% 242.79/47.89  | | | 
% 242.79/47.89  | | | BETA: splitting (297) gives:
% 242.79/47.89  | | | 
% 242.79/47.89  | | | Case 1:
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | |   (298)  all_24_15 = e21 & op2(e21, e21) = e21
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | | REF_CLOSE: (15), (16), (18), (21), (24), (25), (27), (31), (35), (40),
% 242.79/47.89  | | | |            (42), (46), (63), (70), (75), (76), (80), (82), (86), (89),
% 242.79/47.89  | | | |            (298) are inconsistent by sub-proof #616.
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | Case 2:
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | |   (299)  all_24_19 = e21 & op2(e21, e20) = e21
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | | REF_CLOSE: (8), (67), (299) are inconsistent by sub-proof #640.
% 242.79/47.89  | | | | 
% 242.79/47.89  | | | End of split
% 242.79/47.89  | | | 
% 242.79/47.89  | | End of split
% 242.79/47.89  | | 
% 242.79/47.89  | End of split
% 242.79/47.89  | 
% 242.79/47.89  End of proof
% 242.79/47.89  
% 242.79/47.89  Sub-proof #286 shows that the following formulas are inconsistent:
% 242.79/47.89  ----------------------------------------------------------------
% 242.79/47.89    (1)   ~ (all_22_58 = all_22_59)
% 242.79/47.89    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.89           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.90    (3)  op2(e20, e21) = e20
% 242.79/47.90    (4)  op2(e21, e20) = all_22_59
% 242.79/47.90    (5)  op2(e20, e21) = all_22_58
% 242.79/47.90    (6)  op2(e21, e20) = e20
% 242.79/47.90  
% 242.79/47.90  Begin of proof
% 242.79/47.90  | 
% 242.79/47.90  | GROUND_INST: instantiating (2) with e20, all_22_58, e21, e20, simplifying with
% 242.79/47.90  |              (3), (5) gives:
% 242.79/47.90  |   (7)  all_22_58 = e20
% 242.79/47.90  | 
% 242.79/47.90  | GROUND_INST: instantiating (2) with e20, all_22_59, e20, e21, simplifying with
% 242.79/47.90  |              (4), (6) gives:
% 242.79/47.90  |   (8)  all_22_59 = e20
% 242.79/47.90  | 
% 242.79/47.90  | REDUCE: (1), (7), (8) imply:
% 242.79/47.90  |   (9)  $false
% 242.79/47.90  | 
% 242.79/47.90  | CLOSE: (9) is inconsistent.
% 242.79/47.90  | 
% 242.79/47.90  End of proof
% 242.79/47.90  
% 242.79/47.90  Sub-proof #287 shows that the following formulas are inconsistent:
% 242.79/47.90  ----------------------------------------------------------------
% 242.79/47.90    (1)  op2(e20, e24) = all_22_46
% 242.79/47.90    (2)  op2(e20, e24) = all_8_1
% 242.79/47.90    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.90           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.90    (4)   ~ (all_22_46 = all_22_47)
% 242.79/47.90    (5)  op2(e24, e20) = e21
% 242.79/47.90    (6)  op2(e20, e24) = e21
% 242.79/47.90    (7)  op2(e24, e20) = all_22_47
% 242.79/47.90  
% 242.79/47.90  Begin of proof
% 242.79/47.90  | 
% 242.79/47.90  | GROUND_INST: instantiating (3) with e21, all_22_46, e24, e20, simplifying with
% 242.79/47.90  |              (1), (6) gives:
% 242.79/47.90  |   (8)  all_22_46 = e21
% 242.79/47.90  | 
% 242.79/47.90  | GROUND_INST: instantiating (3) with all_8_1, all_22_46, e24, e20, simplifying
% 242.79/47.90  |              with (1), (2) gives:
% 242.79/47.90  |   (9)  all_22_46 = all_8_1
% 242.79/47.90  | 
% 242.79/47.90  | GROUND_INST: instantiating (3) with e21, all_22_47, e20, e24, simplifying with
% 242.79/47.90  |              (5), (7) gives:
% 242.79/47.90  |   (10)  all_22_47 = e21
% 242.79/47.90  | 
% 242.79/47.90  | COMBINE_EQS: (8), (9) imply:
% 242.79/47.90  |   (11)  all_8_1 = e21
% 242.79/47.90  | 
% 242.79/47.90  | REDUCE: (4), (8), (10) imply:
% 242.79/47.90  |   (12)  $false
% 242.79/47.90  | 
% 242.79/47.90  | CLOSE: (12) is inconsistent.
% 242.79/47.90  | 
% 242.79/47.90  End of proof
% 242.79/47.90  
% 242.79/47.90  Sub-proof #288 shows that the following formulas are inconsistent:
% 242.79/47.90  ----------------------------------------------------------------
% 242.79/47.90    (1)  all_24_11 = e22
% 242.79/47.90    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.79/47.90           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.79/47.90           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.79/47.90    (3)  all_24_19 = e20
% 242.79/47.90    (4)  op2(e22, unit2) = e22
% 242.79/47.90    (5)  all_24_14 = e22
% 242.79/47.90    (6)   ~ (all_16_15 = e24)
% 242.79/47.90    (7)  op2(e23, unit2) = e23
% 242.79/47.90    (8)  all_24_23 = e20
% 242.79/47.90    (9)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 242.79/47.90             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 242.79/47.90           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.90    (10)   ~ (e24 = e20)
% 242.79/47.90    (11)   ~ (e23 = e21)
% 242.79/47.90    (12)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.79/47.90              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.79/47.90            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.90    (13)  op2(e23, e21) = e24
% 242.79/47.90    (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.79/47.90            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.79/47.90            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.79/47.90    (15)  op2(e23, e23) = e21
% 242.79/47.90    (16)  all_24_2 = e22
% 242.79/47.90    (17)   ~ (e23 = e22)
% 242.79/47.90    (18)  op2(e20, e20) = e22
% 242.79/47.90    (19)  op2(e20, unit2) = e20
% 242.79/47.90    (20)  all_24_0 = e20
% 242.79/47.90    (21)   ~ (e22 = e20)
% 242.79/47.90    (22)  op2(e21, e23) = all_16_8
% 242.79/47.90    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 242.79/47.90            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 242.79/47.90            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 242.79/47.90    (24)  all_24_24 = e22
% 242.79/47.90    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.90            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.90    (26)  op2(e23, e24) = e22
% 242.79/47.90    (27)  all_24_21 = e23
% 242.79/47.90    (28)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 242.79/47.90            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 242.79/47.90            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.79/47.90    (29)   ~ (e23 = e20)
% 242.79/47.90    (30)  all_24_9 = e23
% 242.79/47.90    (31)   ~ (all_16_7 = e23)
% 242.79/47.90    (32)  op2(e24, e23) = e22
% 242.79/47.90    (33)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.79/47.90              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.79/47.90            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.79/47.90    (34)   ~ (e24 = e21)
% 242.79/47.90    (35)   ~ (e22 = e21)
% 242.79/47.90    (36)  op2(e24, unit2) = e24
% 242.79/47.90    (37)  op2(e23, e22) = e20
% 242.79/47.90    (38)  all_24_12 = e23
% 242.79/47.90    (39)  all_24_13 = e24
% 242.79/47.90    (40)  all_24_8 = e23
% 242.79/47.90    (41)  all_24_1 = e22
% 242.79/47.90    (42)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.79/47.90            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.79/47.90            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.79/47.90    (43)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.79/47.90    (44)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 242.79/47.90            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.79/47.90            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.79/47.90    (45)   ~ (all_16_8 = e23)
% 242.79/47.90    (46)  op2(e22, e23) = all_16_7
% 242.79/47.90    (47)   ~ (all_16_19 = e24)
% 242.79/47.90    (48)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.79/47.90            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.79/47.90            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.79/47.90    (49)   ~ (e21 = e20)
% 242.79/47.90    (50)  op2(e24, e21) = all_16_15
% 242.79/47.90    (51)   ~ (e24 = e22)
% 242.79/47.90    (52)  all_24_17 = e23
% 242.79/47.90    (53)   ~ (e24 = e23)
% 242.79/47.90    (54)  op2(e23, e21) = all_10_1
% 242.79/47.90    (55)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.90            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.79/47.90            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.79/47.90    (56)  op2(e20, e21) = all_16_19
% 242.79/47.90    (57)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.90            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.79/47.90            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.90    (58)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 242.79/47.90            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 242.79/47.90            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 242.79/47.90    (59)  all_24_5 = e20
% 242.79/47.90    (60)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.79/47.90            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.79/47.90            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.79/47.90    (61)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.90            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.79/47.90            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.90  
% 242.79/47.90  Begin of proof
% 242.79/47.90  | 
% 242.79/47.90  | BETA: splitting (23) gives:
% 242.79/47.90  | 
% 242.79/47.90  | Case 1:
% 242.79/47.90  | | 
% 242.79/47.90  | |   (62)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23,
% 242.79/47.90  | |             e24) = e24)
% 242.79/47.90  | | 
% 242.79/47.90  | | BETA: splitting (62) gives:
% 242.79/47.90  | | 
% 242.79/47.90  | | Case 1:
% 242.79/47.90  | | | 
% 242.79/47.90  | | |   (63)  all_24_0 = e24 & op2(e24, e24) = e24
% 242.79/47.90  | | | 
% 242.79/47.90  | | | REF_CLOSE: (10), (20), (63) are inconsistent by sub-proof #863.
% 242.79/47.90  | | | 
% 242.79/47.90  | | Case 2:
% 242.79/47.90  | | | 
% 242.79/47.90  | | |   (64)  all_24_2 = e24 & op2(e23, e24) = e24
% 242.79/47.90  | | | 
% 242.79/47.90  | | | REF_CLOSE: (11), (13), (15), (17), (21), (25), (29), (35), (37), (48),
% 242.79/47.90  | | |            (51), (53), (54), (61), (64) are inconsistent by sub-proof
% 242.79/47.90  | | |            #826.
% 242.79/47.90  | | | 
% 242.79/47.90  | | End of split
% 242.79/47.90  | | 
% 242.79/47.90  | Case 2:
% 242.79/47.90  | | 
% 242.79/47.90  | |   (65)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 & op2(e21,
% 242.79/47.90  | |             e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 242.79/47.90  | | 
% 242.79/47.90  | | BETA: splitting (65) gives:
% 242.79/47.90  | | 
% 242.79/47.90  | | Case 1:
% 242.79/47.90  | | | 
% 242.79/47.90  | | |   (66)  all_24_6 = e24 & op2(e22, e24) = e24
% 242.79/47.90  | | | 
% 242.79/47.90  | | | ALPHA: (66) implies:
% 242.79/47.90  | | |   (67)  all_24_6 = e24
% 242.79/47.90  | | | 
% 242.79/47.90  | | | REF_CLOSE: (1), (4), (7), (10), (11), (13), (14), (15), (16), (17), (21),
% 242.79/47.90  | | |            (25), (26), (27), (29), (32), (34), (35), (37), (39), (40),
% 242.79/47.90  | | |            (43), (48), (49), (51), (52), (53), (54), (57), (58), (59),
% 242.79/47.90  | | |            (60), (61), (67) are inconsistent by sub-proof #523.
% 242.79/47.90  | | | 
% 242.79/47.90  | | Case 2:
% 242.79/47.90  | | | 
% 242.79/47.90  | | |   (68)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 = e24 &
% 242.79/47.90  | | |           op2(e20, e24) = e24)
% 242.79/47.90  | | | 
% 242.79/47.90  | | | BETA: splitting (68) gives:
% 242.79/47.90  | | | 
% 242.79/47.90  | | | Case 1:
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | |   (69)  all_24_12 = e24 & op2(e21, e24) = e24
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | | REF_CLOSE: (38), (53), (69) are inconsistent by sub-proof #645.
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | Case 2:
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | |   (70)  all_24_20 = e24 & op2(e20, e24) = e24
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | | ALPHA: (70) implies:
% 242.79/47.90  | | | |   (71)  all_24_20 = e24
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 242.79/47.90  | | | |            (13), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 242.79/47.90  | | | |            (25), (26), (28), (29), (30), (31), (32), (33), (34), (35),
% 242.79/47.90  | | | |            (36), (37), (38), (40), (41), (42), (43), (44), (45), (46),
% 242.79/47.90  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 242.79/47.90  | | | |            (57), (59), (61), (71) are inconsistent by sub-proof #289.
% 242.79/47.90  | | | | 
% 242.79/47.90  | | | End of split
% 242.79/47.90  | | | 
% 242.79/47.90  | | End of split
% 242.79/47.90  | | 
% 242.79/47.90  | End of split
% 242.79/47.90  | 
% 242.79/47.90  End of proof
% 242.79/47.90  
% 242.79/47.90  Sub-proof #289 shows that the following formulas are inconsistent:
% 242.79/47.90  ----------------------------------------------------------------
% 242.79/47.90    (1)  all_24_20 = e24
% 242.79/47.90    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.79/47.90           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.79/47.90           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.79/47.90    (3)  all_24_19 = e20
% 242.79/47.90    (4)  op2(e22, unit2) = e22
% 242.79/47.90    (5)  all_24_14 = e22
% 242.79/47.90    (6)   ~ (all_16_15 = e24)
% 242.79/47.90    (7)  op2(e23, unit2) = e23
% 242.79/47.90    (8)  all_24_23 = e20
% 242.79/47.90    (9)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 242.79/47.90             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 242.79/47.90           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.90    (10)   ~ (e24 = e20)
% 242.79/47.90    (11)   ~ (e23 = e21)
% 242.79/47.90    (12)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.79/47.90              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.79/47.90            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.90    (13)  op2(e23, e21) = e24
% 242.79/47.90    (14)  op2(e23, e23) = e21
% 242.79/47.90    (15)  all_24_2 = e22
% 242.79/47.90    (16)   ~ (e23 = e22)
% 242.79/47.90    (17)  op2(e20, e20) = e22
% 242.79/47.90    (18)  op2(e20, unit2) = e20
% 242.79/47.90    (19)  all_24_0 = e20
% 242.79/47.90    (20)   ~ (e22 = e20)
% 242.79/47.90    (21)  op2(e21, e23) = all_16_8
% 242.79/47.90    (22)  all_24_24 = e22
% 242.79/47.91    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.91            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.91    (24)  op2(e23, e24) = e22
% 242.79/47.91    (25)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 242.79/47.91            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 242.79/47.91            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.79/47.91    (26)   ~ (e23 = e20)
% 242.79/47.91    (27)  all_24_9 = e23
% 242.79/47.91    (28)   ~ (all_16_7 = e23)
% 242.79/47.91    (29)  op2(e24, e23) = e22
% 242.79/47.91    (30)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.79/47.91              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.79/47.91            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.79/47.91    (31)   ~ (e24 = e21)
% 242.79/47.91    (32)   ~ (e22 = e21)
% 242.79/47.91    (33)  op2(e24, unit2) = e24
% 242.79/47.91    (34)  op2(e23, e22) = e20
% 242.79/47.91    (35)  all_24_12 = e23
% 242.79/47.91    (36)  all_24_8 = e23
% 242.79/47.91    (37)  all_24_1 = e22
% 242.79/47.91    (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.79/47.91            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.79/47.91            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.79/47.91    (39)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.79/47.91    (40)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 242.79/47.91            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.79/47.91            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.79/47.91    (41)   ~ (all_16_8 = e23)
% 242.79/47.91    (42)  op2(e22, e23) = all_16_7
% 242.79/47.91    (43)   ~ (all_16_19 = e24)
% 242.79/47.91    (44)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.79/47.91            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.79/47.91            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.79/47.91    (45)   ~ (e21 = e20)
% 242.79/47.91    (46)  op2(e24, e21) = all_16_15
% 242.79/47.91    (47)   ~ (e24 = e22)
% 242.79/47.91    (48)  all_24_17 = e23
% 242.79/47.91    (49)   ~ (e24 = e23)
% 242.79/47.91    (50)  op2(e23, e21) = all_10_1
% 242.79/47.91    (51)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.91            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.79/47.91            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.79/47.91    (52)  op2(e20, e21) = all_16_19
% 242.79/47.91    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.91            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.79/47.91            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.91    (54)  all_24_5 = e20
% 242.79/47.91    (55)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.91            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.79/47.91            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.91  
% 242.79/47.91  Begin of proof
% 242.79/47.91  | 
% 242.79/47.91  | BETA: splitting (2) gives:
% 242.79/47.91  | 
% 242.79/47.91  | Case 1:
% 242.79/47.91  | | 
% 242.79/47.91  | |   (56)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 242.79/47.91  | |             e24) = e21)
% 242.79/47.91  | | 
% 242.79/47.91  | | REF_CLOSE: (10), (11), (13), (14), (16), (19), (20), (23), (26), (31), (32),
% 242.79/47.91  | |            (34), (44), (45), (47), (49), (50), (53), (54), (55), (56) are
% 242.79/47.91  | |            inconsistent by sub-proof #880.
% 242.79/47.91  | | 
% 242.79/47.91  | Case 2:
% 242.79/47.91  | | 
% 242.79/47.91  | |   (57)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 242.79/47.91  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.79/47.91  | | 
% 242.79/47.91  | | BETA: splitting (57) gives:
% 242.79/47.91  | | 
% 242.79/47.91  | | Case 1:
% 242.79/47.91  | | | 
% 242.79/47.91  | | |   (58)  all_24_6 = e21 & op2(e22, e24) = e21
% 242.79/47.91  | | | 
% 242.79/47.91  | | | ALPHA: (58) implies:
% 242.79/47.91  | | |   (59)  all_24_6 = e21
% 242.79/47.91  | | | 
% 242.79/47.91  | | | BETA: splitting (30) gives:
% 242.79/47.91  | | | 
% 242.79/47.91  | | | Case 1:
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | |   (60)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 242.79/47.91  | | | |           op2(e20, e23) = e21)
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | REF_CLOSE: (1), (11), (13), (14), (15), (16), (21), (23), (26), (28),
% 242.79/47.91  | | | |            (29), (31), (34), (41), (42), (47), (48), (49), (50), (51),
% 242.79/47.91  | | | |            (53), (55), (60) are inconsistent by sub-proof #356.
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | Case 2:
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | |   (61)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 242.79/47.91  | | | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | BETA: splitting (61) gives:
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | Case 1:
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | |   (62)  all_24_22 = e21 & op2(e20, e22) = e21
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | | ALPHA: (62) implies:
% 242.79/47.91  | | | | |   (63)  all_24_22 = e21
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | | BETA: splitting (40) gives:
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | | Case 1:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | |   (64)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 &
% 242.79/47.91  | | | | | |           op2(e23, e22) = e24)
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | BETA: splitting (64) gives:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | Case 1:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | |   (65)  all_24_4 = e24 & op2(e24, e22) = e24
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | ALPHA: (65) implies:
% 242.79/47.91  | | | | | | |   (66)  all_24_4 = e24
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | BETA: splitting (25) gives:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | |   (67)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21
% 242.79/47.91  | | | | | | | |           & op2(e24, e23) = e21)
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | BETA: splitting (67) gives:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | |   (68)  all_24_0 = e21 & op2(e24, e24) = e21
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | ALPHA: (68) implies:
% 242.79/47.91  | | | | | | | | |   (69)  all_24_0 = e21
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | COMBINE_EQS: (19), (69) imply:
% 242.79/47.91  | | | | | | | | |   (70)  e21 = e20
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | SIMP: (70) implies:
% 242.79/47.91  | | | | | | | | |   (71)  e21 = e20
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | COMBINE_EQS: (59), (71) imply:
% 242.79/47.91  | | | | | | | | |   (72)  all_24_6 = e20
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | REF_CLOSE: (1), (2), (10), (11), (13), (14), (15), (16), (19),
% 242.79/47.91  | | | | | | | | |            (20), (23), (26), (31), (32), (34), (35), (44),
% 242.79/47.91  | | | | | | | | |            (45), (47), (48), (49), (50), (53), (54), (55),
% 242.79/47.91  | | | | | | | | |            (72) are inconsistent by sub-proof #871.
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | |   (73)  all_24_1 = e21 & op2(e24, e23) = e21
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | REF_CLOSE: (23), (29), (32), (73) are inconsistent by
% 242.79/47.91  | | | | | | | | |            sub-proof #866.
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | |   (74)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21
% 242.79/47.91  | | | | | | | |           & op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24,
% 242.79/47.91  | | | | | | | |             e20) = e21)
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | BETA: splitting (74) gives:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | |   (75)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | REF_CLOSE: (31), (66), (75) are inconsistent by sub-proof
% 242.79/47.91  | | | | | | | | |            #759.
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | |   (76)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 =
% 242.79/47.91  | | | | | | | | |           e21 & op2(e24, e20) = e21)
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | BETA: splitting (76) gives:
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | |   (77)  all_24_9 = e21 & op2(e24, e21) = e21
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | REF_CLOSE: (11), (13), (14), (15), (16), (23), (26), (27),
% 242.79/47.91  | | | | | | | | | |            (31), (34), (47), (48), (49), (50), (53), (55),
% 242.79/47.91  | | | | | | | | | |            (77) are inconsistent by sub-proof #864.
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | |   (78)  all_24_16 = e21 & op2(e24, e20) = e21
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | ALPHA: (78) implies:
% 242.79/47.91  | | | | | | | | | |   (79)  all_24_16 = e21
% 242.79/47.91  | | | | | | | | | |   (80)  op2(e24, e20) = e21
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | BETA: splitting (9) gives:
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | |   (81)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 242.79/47.91  | | | | | | | | | | |         (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | REF_CLOSE: (11), (13), (14), (15), (16), (23), (26), (31),
% 242.79/47.91  | | | | | | | | | | |            (34), (49), (50), (55), (79), (81) are
% 242.79/47.91  | | | | | | | | | | |            inconsistent by sub-proof #686.
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | |   (82)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 242.79/47.91  | | | | | | | | | | |         (all_24_19 = e24 & op2(e21, e20) = e24) |
% 242.79/47.91  | | | | | | | | | | |         (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | BETA: splitting (82) gives:
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | |   (83)  all_24_18 = e24 & op2(e22, e20) = e24
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | ALPHA: (83) implies:
% 242.79/47.91  | | | | | | | | | | | |   (84)  op2(e22, e20) = e24
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | REF_CLOSE: (4), (7), (13), (16), (17), (18), (23), (24),
% 242.79/47.91  | | | | | | | | | | | |            (26), (33), (34), (39), (49), (50), (80), (84) are
% 242.79/47.91  | | | | | | | | | | | |            inconsistent by sub-proof #348.
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | |   (85)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 242.79/47.91  | | | | | | | | | | | |         (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | BETA: splitting (85) gives:
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | |   (86)  all_24_19 = e24 & op2(e21, e20) = e24
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | ALPHA: (86) implies:
% 242.79/47.91  | | | | | | | | | | | | |   (87)  all_24_19 = e24
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | COMBINE_EQS: (3), (87) imply:
% 242.79/47.91  | | | | | | | | | | | | |   (88)  e24 = e20
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | COMBINE_EQS: (1), (88) imply:
% 242.79/47.91  | | | | | | | | | | | | |   (89)  all_24_20 = e20
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (14), (16), (21), (22), (23),
% 242.79/47.91  | | | | | | | | | | | | |            (28), (29), (31), (41), (42), (43), (47), (49),
% 242.79/47.91  | | | | | | | | | | | | |            (51), (52), (63), (89) are inconsistent by
% 242.79/47.91  | | | | | | | | | | | | |            sub-proof #350.
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | |   (90)  all_24_24 = e24 & op2(e20, e20) = e24
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | ALPHA: (90) implies:
% 242.79/47.91  | | | | | | | | | | | | |   (91)  all_24_24 = e24
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | COMBINE_EQS: (22), (91) imply:
% 242.79/47.91  | | | | | | | | | | | | |   (92)  e24 = e22
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | COMBINE_EQS: (66), (92) imply:
% 242.79/47.91  | | | | | | | | | | | | |   (93)  all_24_4 = e22
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | | REF_CLOSE: (6), (10), (19), (23), (31), (37), (38), (46),
% 242.79/47.91  | | | | | | | | | | | | |            (47), (79), (93) are inconsistent by sub-proof
% 242.79/47.91  | | | | | | | | | | | | |            #859.
% 242.79/47.91  | | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | | | 
% 242.79/47.91  | | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | | 
% 242.79/47.91  | | | | | | | | End of split
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | End of split
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | Case 2:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | |   (94)  all_24_5 = e24 & op2(e23, e22) = e24
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | ALPHA: (94) implies:
% 242.79/47.91  | | | | | | |   (95)  all_24_5 = e24
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | COMBINE_EQS: (54), (95) imply:
% 242.79/47.91  | | | | | | |   (96)  e24 = e20
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | REF_CLOSE: (1), (10), (11), (12), (14), (16), (21), (22), (23),
% 242.79/47.91  | | | | | | |            (28), (29), (31), (41), (42), (43), (47), (49), (51),
% 242.79/47.91  | | | | | | |            (52), (63), (96) are inconsistent by sub-proof #349.
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | End of split
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | Case 2:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | |   (97)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.79/47.91  | | | | | |           op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) =
% 242.79/47.91  | | | | | |           e24)
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | BETA: splitting (97) gives:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | Case 1:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | |   (98)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | REF_CLOSE: (36), (49), (98) are inconsistent by sub-proof #803.
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | Case 2:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | |   (99)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24
% 242.79/47.91  | | | | | | |           & op2(e20, e22) = e24)
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | BETA: splitting (99) gives:
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | | Case 1:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | |   (100)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | REF_CLOSE: (5), (47), (100) are inconsistent by sub-proof #726.
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | Case 2:
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | |   (101)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | ALPHA: (101) implies:
% 242.79/47.91  | | | | | | | |   (102)  all_24_22 = e24
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | COMBINE_EQS: (63), (102) imply:
% 242.79/47.91  | | | | | | | |   (103)  e24 = e21
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | REDUCE: (31), (103) imply:
% 242.79/47.91  | | | | | | | |   (104)  $false
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | | CLOSE: (104) is inconsistent.
% 242.79/47.91  | | | | | | | | 
% 242.79/47.91  | | | | | | | End of split
% 242.79/47.91  | | | | | | | 
% 242.79/47.91  | | | | | | End of split
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | End of split
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | Case 2:
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | |   (105)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 242.79/47.91  | | | | |            op2(e20, e20) = e21)
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | | BETA: splitting (105) gives:
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | | Case 1:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | |   (106)  all_24_23 = e21 & op2(e20, e21) = e21
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | REF_CLOSE: (1), (2), (8), (10), (11), (13), (14), (15), (16), (19),
% 242.79/47.91  | | | | | |            (20), (23), (26), (31), (32), (34), (35), (44), (45),
% 242.79/47.91  | | | | | |            (47), (48), (49), (50), (53), (54), (55), (59), (106) are
% 242.79/47.91  | | | | | |            inconsistent by sub-proof #313.
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | Case 2:
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | |   (107)  all_24_24 = e21 & op2(e20, e20) = e21
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | | REF_CLOSE: (10), (11), (13), (14), (15), (16), (20), (22), (23),
% 242.79/47.91  | | | | | |            (26), (31), (32), (34), (44), (47), (49), (50), (53),
% 242.79/47.91  | | | | | |            (54), (55), (107) are inconsistent by sub-proof #639.
% 242.79/47.91  | | | | | | 
% 242.79/47.91  | | | | | End of split
% 242.79/47.91  | | | | | 
% 242.79/47.91  | | | | End of split
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | End of split
% 242.79/47.91  | | | 
% 242.79/47.91  | | Case 2:
% 242.79/47.91  | | | 
% 242.79/47.91  | | |   (108)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 242.79/47.91  | | |            op2(e20, e24) = e21)
% 242.79/47.91  | | | 
% 242.79/47.91  | | | BETA: splitting (108) gives:
% 242.79/47.91  | | | 
% 242.79/47.91  | | | Case 1:
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | |   (109)  all_24_12 = e21 & op2(e21, e24) = e21
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | REF_CLOSE: (11), (13), (14), (15), (16), (23), (26), (31), (34), (35),
% 242.79/47.91  | | | |            (47), (48), (49), (50), (53), (55), (109) are inconsistent by
% 242.79/47.91  | | | |            sub-proof #747.
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | Case 2:
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | |   (110)  all_24_20 = e21 & op2(e20, e24) = e21
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | ALPHA: (110) implies:
% 242.79/47.91  | | | |   (111)  all_24_20 = e21
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | | REF_CLOSE: (1), (31), (111) are inconsistent by sub-proof #576.
% 242.79/47.91  | | | | 
% 242.79/47.91  | | | End of split
% 242.79/47.91  | | | 
% 242.79/47.91  | | End of split
% 242.79/47.91  | | 
% 242.79/47.91  | End of split
% 242.79/47.91  | 
% 242.79/47.91  End of proof
% 242.79/47.91  
% 242.79/47.91  Sub-proof #290 shows that the following formulas are inconsistent:
% 242.79/47.91  ----------------------------------------------------------------
% 242.79/47.91    (1)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.79/47.91             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 242.79/47.91           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.79/47.91    (2)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.79/47.91             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.79/47.91           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.79/47.91    (3)   ~ (e24 = e20)
% 242.79/47.91    (4)   ~ (e23 = e21)
% 242.79/47.91    (5)  op2(e23, e21) = e24
% 242.79/47.91    (6)   ~ (all_16_1 = e21)
% 242.79/47.92    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.79/47.92           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.79/47.92           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.79/47.92    (8)  op2(e23, e23) = e21
% 242.79/47.92    (9)  all_24_2 = e22
% 242.79/47.92    (10)   ~ (e23 = e22)
% 242.79/47.92    (11)   ~ (e22 = e20)
% 242.79/47.92    (12)  op2(e21, e23) = all_16_8
% 242.79/47.92    (13)  all_24_15 = e20
% 242.79/47.92    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.92            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.92    (15)  all_24_21 = e23
% 242.79/47.92    (16)   ~ (e23 = e20)
% 242.79/47.92    (17)  op2(e24, e23) = e22
% 242.79/47.92    (18)   ~ (e24 = e21)
% 242.79/47.92    (19)   ~ (e22 = e21)
% 242.79/47.92    (20)   ~ (all_16_1 = e20)
% 242.79/47.92    (21)  op2(e23, e22) = e20
% 242.79/47.92    (22)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 242.79/47.92            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 242.79/47.92            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 242.79/47.92    (23)   ~ (all_16_1 = e23)
% 242.79/47.92    (24)  all_24_12 = e23
% 242.79/47.92    (25)  all_24_13 = e24
% 242.79/47.92    (26)  all_24_8 = e23
% 242.79/47.92    (27)  all_24_1 = e22
% 242.79/47.92    (28)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 242.79/47.92            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 242.79/47.92            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.79/47.92    (29)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.92            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.79/47.92            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.79/47.92    (30)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.79/47.92            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.79/47.92            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.79/47.92    (31)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.79/47.92    (32)   ~ (e21 = e20)
% 242.79/47.92    (33)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 242.79/47.92            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 242.79/47.92            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 242.79/47.92    (34)   ~ (e24 = e22)
% 242.79/47.92    (35)  all_24_17 = e23
% 242.79/47.92    (36)  op2(e23, e24) = all_16_1
% 242.79/47.92    (37)   ~ (e24 = e23)
% 242.79/47.92    (38)  op2(e23, e21) = all_10_1
% 242.79/47.92    (39)   ~ (all_16_8 = e22)
% 242.79/47.92    (40)  all_20_5 = all_16_1
% 242.79/47.92    (41)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.92            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.79/47.92            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.92    (42)  all_24_5 = e20
% 242.79/47.92    (43)  all_24_22 = e20
% 242.79/47.92    (44)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 242.79/47.92            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 242.79/47.92            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.79/47.92    (45)  all_24_3 = e21
% 242.79/47.92    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.92            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.79/47.92            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.92  
% 242.79/47.92  Begin of proof
% 242.79/47.92  | 
% 242.79/47.92  | BETA: splitting (28) gives:
% 242.79/47.92  | 
% 242.79/47.92  | Case 1:
% 242.79/47.92  | | 
% 242.79/47.92  | |   (47)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 242.79/47.92  | |             e22) = e24)
% 242.79/47.92  | | 
% 242.79/47.92  | | BETA: splitting (47) gives:
% 242.79/47.92  | | 
% 242.79/47.92  | | Case 1:
% 242.79/47.92  | | | 
% 242.79/47.92  | | |   (48)  all_24_4 = e24 & op2(e24, e22) = e24
% 242.79/47.92  | | | 
% 242.79/47.92  | | | ALPHA: (48) implies:
% 242.79/47.92  | | |   (49)  all_24_4 = e24
% 242.79/47.92  | | | 
% 242.79/47.92  | | | BETA: splitting (22) gives:
% 242.79/47.92  | | | 
% 242.79/47.92  | | | Case 1:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | |   (50)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 &
% 242.79/47.92  | | | |           op2(e23, e22) = e22)
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | BETA: splitting (50) gives:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | Case 1:
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | |   (51)  all_24_4 = e22 & op2(e24, e22) = e22
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | ALPHA: (51) implies:
% 242.79/47.92  | | | | |   (52)  all_24_4 = e22
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | COMBINE_EQS: (49), (52) imply:
% 242.79/47.92  | | | | |   (53)  e24 = e22
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | REDUCE: (34), (53) imply:
% 242.79/47.92  | | | | |   (54)  $false
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | CLOSE: (54) is inconsistent.
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | Case 2:
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | |   (55)  all_24_5 = e22 & op2(e23, e22) = e22
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | REF_CLOSE: (11), (14), (21), (55) are inconsistent by sub-proof #1330.
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | End of split
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | Case 2:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | |   (56)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 242.79/47.92  | | | |           op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | BETA: splitting (56) gives:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | Case 1:
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | |   (57)  all_24_8 = e22 & op2(e22, e22) = e22
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (14), (16), (20), (21), (23),
% 242.79/47.92  | | | | |            (26), (31), (35), (36), (37), (38), (40), (46), (57) are
% 242.79/47.92  | | | | |            inconsistent by sub-proof #854.
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | Case 2:
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | |   (58)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 242.79/47.92  | | | | |           op2(e20, e22) = e22)
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | BETA: splitting (58) gives:
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | | Case 1:
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | |   (59)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | | ALPHA: (59) implies:
% 242.79/47.92  | | | | | |   (60)  all_24_14 = e22
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (10), (11), (14), (16), (18),
% 242.79/47.92  | | | | | |            (19), (21), (26), (30), (32), (33), (34), (35), (37),
% 242.79/47.92  | | | | | |            (38), (41), (42), (43), (46), (49), (60) are inconsistent
% 242.79/47.92  | | | | | |            by sub-proof #755.
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | Case 2:
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | |   (61)  all_24_22 = e22 & op2(e20, e22) = e22
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (14), (16),
% 242.79/47.92  | | | | | |            (18), (19), (21), (30), (32), (34), (37), (38), (41),
% 242.79/47.92  | | | | | |            (43), (46), (61) are inconsistent by sub-proof #748.
% 242.79/47.92  | | | | | | 
% 242.79/47.92  | | | | | End of split
% 242.79/47.92  | | | | | 
% 242.79/47.92  | | | | End of split
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | End of split
% 242.79/47.92  | | | 
% 242.79/47.92  | | Case 2:
% 242.79/47.92  | | | 
% 242.79/47.92  | | |   (62)  all_24_5 = e24 & op2(e23, e22) = e24
% 242.79/47.92  | | | 
% 242.79/47.92  | | | REF_CLOSE: (3), (42), (62) are inconsistent by sub-proof #1301.
% 242.79/47.92  | | | 
% 242.79/47.92  | | End of split
% 242.79/47.92  | | 
% 242.79/47.92  | Case 2:
% 242.79/47.92  | | 
% 242.79/47.92  | |   (63)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 242.79/47.92  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 242.79/47.92  | | 
% 242.79/47.92  | | BETA: splitting (63) gives:
% 242.79/47.92  | | 
% 242.79/47.92  | | Case 1:
% 242.79/47.92  | | | 
% 242.79/47.92  | | |   (64)  all_24_8 = e24 & op2(e22, e22) = e24
% 242.79/47.92  | | | 
% 242.79/47.92  | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (14), (15), (16),
% 242.79/47.92  | | |            (17), (18), (19), (21), (25), (26), (27), (29), (32), (34),
% 242.79/47.92  | | |            (35), (37), (38), (41), (44), (45), (46), (64) are inconsistent
% 242.79/47.92  | | |            by sub-proof #841.
% 242.79/47.92  | | | 
% 242.79/47.92  | | Case 2:
% 242.79/47.92  | | | 
% 242.79/47.92  | | |   (65)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 242.79/47.92  | | |           op2(e20, e22) = e24)
% 242.79/47.92  | | | 
% 242.79/47.92  | | | BETA: splitting (65) gives:
% 242.79/47.92  | | | 
% 242.79/47.92  | | | Case 1:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | |   (66)  all_24_14 = e24 & op2(e21, e22) = e24
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | ALPHA: (66) implies:
% 242.79/47.92  | | | |   (67)  all_24_14 = e24
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 242.79/47.92  | | | |            (12), (13), (14), (16), (18), (19), (20), (21), (23), (24),
% 242.79/47.92  | | | |            (25), (30), (31), (32), (34), (35), (36), (37), (38), (39),
% 242.79/47.92  | | | |            (40), (41), (42), (46), (67) are inconsistent by sub-proof
% 242.79/47.92  | | | |            #293.
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | Case 2:
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | |   (68)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | | REF_CLOSE: (3), (43), (68) are inconsistent by sub-proof #291.
% 242.79/47.92  | | | | 
% 242.79/47.92  | | | End of split
% 242.79/47.92  | | | 
% 242.79/47.92  | | End of split
% 242.79/47.92  | | 
% 242.79/47.92  | End of split
% 242.79/47.92  | 
% 242.79/47.92  End of proof
% 242.79/47.92  
% 242.79/47.92  Sub-proof #291 shows that the following formulas are inconsistent:
% 242.79/47.92  ----------------------------------------------------------------
% 242.79/47.92    (1)  all_24_22 = e24 & op2(e20, e22) = e24
% 242.79/47.92    (2)  all_24_22 = e20
% 242.79/47.92    (3)   ~ (e24 = e20)
% 242.79/47.92  
% 242.79/47.92  Begin of proof
% 242.79/47.92  | 
% 242.79/47.92  | ALPHA: (1) implies:
% 242.79/47.92  |   (4)  all_24_22 = e24
% 242.79/47.92  | 
% 242.79/47.92  | COMBINE_EQS: (2), (4) imply:
% 242.79/47.92  |   (5)  e24 = e20
% 242.79/47.92  | 
% 242.79/47.92  | SIMP: (5) implies:
% 242.79/47.92  |   (6)  e24 = e20
% 242.79/47.92  | 
% 242.79/47.92  | REDUCE: (3), (6) imply:
% 242.79/47.92  |   (7)  $false
% 242.79/47.92  | 
% 242.79/47.92  | CLOSE: (7) is inconsistent.
% 242.79/47.92  | 
% 242.79/47.92  End of proof
% 242.79/47.92  
% 242.79/47.92  Sub-proof #292 shows that the following formulas are inconsistent:
% 242.79/47.92  ----------------------------------------------------------------
% 242.79/47.92    (1)  op2(e21, e22) = all_22_40
% 242.79/47.92    (2)  op2(e21, e22) = e22
% 242.79/47.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.92           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.92    (4)  op2(e22, e21) = e22
% 242.79/47.92    (5)   ~ (all_22_40 = all_22_41)
% 242.79/47.92    (6)  op2(e22, e21) = all_22_41
% 242.79/47.92  
% 242.79/47.92  Begin of proof
% 242.79/47.92  | 
% 242.79/47.92  | GROUND_INST: instantiating (3) with e22, all_22_40, e22, e21, simplifying with
% 242.79/47.92  |              (1), (2) gives:
% 242.79/47.92  |   (7)  all_22_40 = e22
% 242.79/47.92  | 
% 242.79/47.92  | GROUND_INST: instantiating (3) with e22, all_22_41, e21, e22, simplifying with
% 242.79/47.92  |              (4), (6) gives:
% 242.79/47.92  |   (8)  all_22_41 = e22
% 242.79/47.92  | 
% 242.79/47.92  | REDUCE: (5), (7), (8) imply:
% 242.79/47.92  |   (9)  $false
% 242.79/47.92  | 
% 242.79/47.92  | CLOSE: (9) is inconsistent.
% 242.79/47.92  | 
% 242.79/47.92  End of proof
% 242.79/47.92  
% 242.79/47.92  Sub-proof #293 shows that the following formulas are inconsistent:
% 242.79/47.92  ----------------------------------------------------------------
% 242.79/47.92    (1)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.79/47.92             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 242.79/47.92           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.79/47.92    (2)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.79/47.92             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.79/47.92           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.79/47.92    (3)   ~ (e24 = e20)
% 242.79/47.92    (4)   ~ (e23 = e21)
% 242.79/47.92    (5)  op2(e23, e21) = e24
% 242.79/47.92    (6)   ~ (all_16_1 = e21)
% 242.79/47.92    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.79/47.92           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.79/47.92           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.79/47.92    (8)  op2(e23, e23) = e21
% 242.79/47.92    (9)  all_24_2 = e22
% 242.79/47.92    (10)   ~ (e23 = e22)
% 242.79/47.92    (11)   ~ (e22 = e20)
% 242.79/47.92    (12)  op2(e21, e23) = all_16_8
% 242.79/47.92    (13)  all_24_15 = e20
% 242.79/47.92    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.92            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.92    (15)   ~ (e23 = e20)
% 242.79/47.92    (16)   ~ (e24 = e21)
% 242.79/47.92    (17)   ~ (e22 = e21)
% 242.79/47.92    (18)   ~ (all_16_1 = e20)
% 242.79/47.92    (19)  op2(e23, e22) = e20
% 242.79/47.92    (20)   ~ (all_16_1 = e23)
% 242.79/47.92    (21)  all_24_12 = e23
% 242.79/47.92    (22)  all_24_13 = e24
% 242.79/47.92    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.79/47.92            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.79/47.92            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.79/47.92    (24)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.79/47.92    (25)  all_24_14 = e24
% 242.79/47.92    (26)   ~ (e21 = e20)
% 242.79/47.92    (27)   ~ (e24 = e22)
% 242.79/47.92    (28)  all_24_17 = e23
% 242.79/47.92    (29)  op2(e23, e24) = all_16_1
% 242.79/47.92    (30)   ~ (e24 = e23)
% 242.79/47.92    (31)  op2(e23, e21) = all_10_1
% 242.79/47.92    (32)   ~ (all_16_8 = e22)
% 242.79/47.92    (33)  all_20_5 = all_16_1
% 242.79/47.92    (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.92            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.79/47.92            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.92    (35)  all_24_5 = e20
% 242.79/47.92    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.92            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.79/47.92            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.92  
% 242.79/47.92  Begin of proof
% 242.79/47.92  | 
% 242.79/47.92  | BETA: splitting (1) gives:
% 242.79/47.92  | 
% 242.79/47.92  | Case 1:
% 242.79/47.92  | | 
% 242.79/47.92  | |   (37)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 242.79/47.92  | |           op2(e21, e23) = e22)
% 242.79/47.92  | | 
% 242.79/47.92  | | REF_CLOSE: (4), (5), (6), (8), (10), (12), (14), (15), (18), (19), (20),
% 242.79/47.92  | |            (21), (24), (28), (29), (30), (31), (32), (33), (36), (37) are
% 242.79/47.92  | |            inconsistent by sub-proof #294.
% 242.79/47.92  | | 
% 242.79/47.92  | Case 2:
% 242.79/47.92  | | 
% 242.79/47.93  | |   (38)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 242.79/47.93  | |           op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 242.79/47.93  | | 
% 242.79/47.93  | | BETA: splitting (38) gives:
% 242.79/47.93  | | 
% 242.79/47.93  | | Case 1:
% 242.79/47.93  | | | 
% 242.79/47.93  | | |   (39)  all_24_14 = e22 & op2(e21, e22) = e22
% 242.79/47.93  | | | 
% 242.79/47.93  | | | REF_CLOSE: (25), (27), (39) are inconsistent by sub-proof #631.
% 242.79/47.93  | | | 
% 242.79/47.93  | | Case 2:
% 242.79/47.93  | | | 
% 242.79/47.93  | | |   (40)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 242.79/47.93  | | |           op2(e21, e20) = e22)
% 242.79/47.93  | | | 
% 242.79/47.93  | | | BETA: splitting (40) gives:
% 242.79/47.93  | | | 
% 242.79/47.93  | | | Case 1:
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | |   (41)  all_24_15 = e22 & op2(e21, e21) = e22
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | | ALPHA: (41) implies:
% 242.79/47.93  | | | |   (42)  all_24_15 = e22
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (13), (14), (15),
% 242.79/47.93  | | | |            (16), (17), (19), (23), (26), (27), (30), (31), (34), (36),
% 242.79/47.93  | | | |            (42) are inconsistent by sub-proof #785.
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | Case 2:
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | |   (43)  all_24_19 = e22 & op2(e21, e20) = e22
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | | ALPHA: (43) implies:
% 242.79/47.93  | | | |   (44)  all_24_19 = e22
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (13), (14), (15),
% 242.79/47.93  | | | |            (16), (17), (19), (21), (22), (23), (25), (26), (27), (28),
% 242.79/47.93  | | | |            (30), (31), (34), (35), (36), (44) are inconsistent by
% 242.79/47.93  | | | |            sub-proof #539.
% 242.79/47.93  | | | | 
% 242.79/47.93  | | | End of split
% 242.79/47.93  | | | 
% 242.79/47.93  | | End of split
% 242.79/47.93  | | 
% 242.79/47.93  | End of split
% 242.79/47.93  | 
% 242.79/47.93  End of proof
% 242.79/47.93  
% 242.79/47.93  Sub-proof #294 shows that the following formulas are inconsistent:
% 242.79/47.93  ----------------------------------------------------------------
% 242.79/47.93    (1)   ~ (e23 = e21)
% 242.79/47.93    (2)  op2(e23, e21) = e24
% 242.79/47.93    (3)   ~ (all_16_1 = e21)
% 242.79/47.93    (4)  op2(e23, e23) = e21
% 242.79/47.93    (5)   ~ (e23 = e22)
% 242.79/47.93    (6)  op2(e21, e23) = all_16_8
% 242.79/47.93    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.93           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.93    (8)   ~ (e23 = e20)
% 242.79/47.93    (9)   ~ (all_16_1 = e20)
% 242.79/47.93    (10)  op2(e23, e22) = e20
% 242.79/47.93    (11)   ~ (all_16_1 = e23)
% 242.79/47.93    (12)  all_24_12 = e23
% 242.79/47.93    (13)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.79/47.93    (14)  all_24_17 = e23
% 242.79/47.93    (15)  op2(e23, e24) = all_16_1
% 242.79/47.93    (16)   ~ (e24 = e23)
% 242.79/47.93    (17)  op2(e23, e21) = all_10_1
% 242.79/47.93    (18)   ~ (all_16_8 = e22)
% 242.79/47.93    (19)  all_20_5 = all_16_1
% 242.79/47.93    (20)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 242.79/47.93              e23) = e22)
% 242.79/47.93    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.93            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 242.79/47.93            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.93  
% 242.79/47.93  Begin of proof
% 242.79/47.93  | 
% 242.79/47.93  | BETA: splitting (20) gives:
% 242.79/47.93  | 
% 242.79/47.93  | Case 1:
% 242.79/47.93  | | 
% 242.79/47.93  | |   (22)  all_24_12 = e22 & op2(e21, e24) = e22
% 242.79/47.93  | | 
% 242.79/47.93  | | ALPHA: (22) implies:
% 242.79/47.93  | |   (23)  all_24_12 = e22
% 242.79/47.93  | | 
% 242.79/47.93  | | COMBINE_EQS: (12), (23) imply:
% 242.79/47.93  | |   (24)  e23 = e22
% 242.79/47.93  | | 
% 242.79/47.93  | | COMBINE_EQS: (14), (24) imply:
% 242.79/47.93  | |   (25)  all_24_17 = e22
% 242.79/47.93  | | 
% 242.79/47.93  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (13), (15),
% 242.79/47.93  | |            (16), (17), (19), (21), (25) are inconsistent by sub-proof #855.
% 242.79/47.93  | | 
% 242.79/47.93  | Case 2:
% 242.79/47.93  | | 
% 242.79/47.93  | |   (26)  all_24_13 = e22 & op2(e21, e23) = e22
% 242.79/47.93  | | 
% 242.79/47.93  | | REF_CLOSE: (6), (7), (18), (26) are inconsistent by sub-proof #700.
% 242.79/47.93  | | 
% 242.79/47.93  | End of split
% 242.79/47.93  | 
% 242.79/47.93  End of proof
% 242.79/47.93  
% 242.79/47.93  Sub-proof #295 shows that the following formulas are inconsistent:
% 242.79/47.93  ----------------------------------------------------------------
% 242.79/47.93    (1)  op2(e24, e22) = all_16_10
% 242.79/47.93    (2)  all_24_7 = e20
% 242.79/47.93    (3)  op2(e24, e24) = all_12_2
% 242.79/47.93    (4)  op2(e23, e20) = e23
% 242.79/47.93    (5)  op2(e20, e23) = e23
% 242.79/47.93    (6)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 242.79/47.93           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 242.79/47.93           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.79/47.93    (7)  op2(e21, e23) = e24
% 242.79/47.93    (8)  all_24_4 = e24 & op2(e24, e22) = e24
% 242.79/47.93    (9)  op2(all_12_1, e24) = all_12_0
% 242.79/47.93    (10)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.79/47.93            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.79/47.93            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.79/47.93    (11)  op2(e20, e22) = all_4_0
% 242.79/47.93    (12)  op2(e22, unit2) = e22
% 242.79/47.93    (13)   ~ (all_16_15 = e24)
% 242.79/47.93    (14)  op2(e23, unit2) = e23
% 242.79/47.93    (15)  op2(e21, e22) = all_16_13
% 242.79/47.93    (16)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.79/47.93              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.79/47.93            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.79/47.93    (17)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 242.79/47.93              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 242.79/47.93            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.93    (18)   ~ (e24 = e20)
% 242.79/47.93    (19)   ~ (e23 = e21)
% 242.79/47.93    (20)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.79/47.93              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.79/47.93            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.93    (21)  op2(e23, e21) = e24
% 242.79/47.93    (22)   ~ (all_16_1 = e21)
% 242.79/47.93    (23)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 242.79/47.93            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 242.79/47.93            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 242.79/47.93    (24)  op2(e23, e23) = e21
% 242.79/47.93    (25)  op2(e22, e20) = all_16_22
% 242.79/47.93    (26)  op2(e22, e24) = all_16_2
% 242.79/47.93    (27)  all_24_2 = e22
% 242.79/47.93    (28)   ~ (e23 = e22)
% 242.79/47.93    (29)   ~ (e22 = e20)
% 242.79/47.93    (30)  op2(e21, e23) = all_16_8
% 242.79/47.93    (31)  all_24_15 = e20
% 242.79/47.93    (32)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 242.79/47.93            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 242.79/47.93            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 242.79/47.93    (33)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 242.79/47.93            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 242.79/47.93    (34)  op2(e23, e24) = e22
% 242.79/47.93    (35)  op2(e22, all_4_0) = all_4_3
% 242.79/47.93    (36)  all_24_21 = e23
% 242.79/47.93    (37)   ~ (all_16_22 = e20)
% 242.79/47.93    (38)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 242.79/47.93            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 242.79/47.93            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.79/47.93    (39)   ~ (e23 = e20)
% 242.79/47.93    (40)  all_24_9 = e23
% 242.79/47.93    (41)  op2(e24, all_12_2) = all_12_1
% 242.79/47.93    (42)   ~ (all_16_7 = e23)
% 242.79/47.93    (43)  op2(e24, e23) = e22
% 242.79/47.93    (44)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 242.79/47.93              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 242.79/47.93            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 242.79/47.93    (45)  op2(e21, e21) = e20
% 242.79/47.93    (46)   ~ (e24 = e21)
% 242.79/47.93    (47)   ~ (all_8_2 = e23)
% 242.79/47.93    (48)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 242.79/47.93              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 242.79/47.93            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 242.79/47.93    (49)   ~ (e22 = e21)
% 242.79/47.93    (50)   ~ (all_16_1 = e20)
% 242.79/47.93    (51)   ~ (all_16_17 = e24)
% 242.79/47.93    (52)  op2(e23, e22) = e20
% 242.79/47.93    (53)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 242.79/47.93            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 242.79/47.93              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 242.79/47.93            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 242.79/47.93            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 242.79/47.93            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 242.79/47.93            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 242.79/47.93          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 242.79/47.93            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 242.79/47.93              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 242.79/47.93            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 242.79/47.93            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 242.79/47.93            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 242.79/47.93            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 242.79/47.93          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 242.79/47.93            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 242.79/47.93              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 242.79/47.93            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 242.79/47.93              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 242.79/47.93            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 242.79/47.93              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 242.79/47.93          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 242.79/47.93            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 242.79/47.93              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 242.79/47.93            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 242.79/47.93              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 242.79/47.93            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 242.79/47.93              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 242.79/47.93          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 242.79/47.93            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 242.79/47.93              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 242.79/47.93            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 242.79/47.93              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 242.79/47.93            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 242.79/47.93              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 242.79/47.93          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 242.79/47.93            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 242.79/47.93              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 242.79/47.93            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 242.79/47.93              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 242.79/47.93            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 242.79/47.93              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 242.79/47.93          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 242.79/47.93            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 242.79/47.93              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 242.79/47.93            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 242.79/47.93              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 242.79/47.93            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 242.79/47.93              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 242.79/47.93          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 242.79/47.93            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 242.79/47.93              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 242.79/47.93            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 242.79/47.93              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 242.79/47.93            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 242.79/47.93              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 242.79/47.93          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 242.79/47.93            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 242.79/47.93              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 242.79/47.93            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 242.79/47.93              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 242.79/47.93            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 242.79/47.93              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 242.79/47.93          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 242.79/47.93            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 242.79/47.93              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 242.79/47.93            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 242.79/47.93              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 242.79/47.93            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 242.79/47.93              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 242.79/47.94    (54)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 242.79/47.94            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 242.79/47.94            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 242.79/47.94    (55)   ~ (all_16_1 = e23)
% 242.79/47.94    (56)  op2(e20, all_8_2) = all_8_1
% 242.79/47.94    (57)  op2(e24, e20) = e20
% 242.79/47.94    (58)  all_24_12 = e23
% 242.79/47.94    (59)   ~ (all_16_22 = all_8_2)
% 242.79/47.94    (60)  all_24_13 = e24
% 242.79/47.94    (61)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 242.79/47.94              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 242.79/47.94            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 242.79/47.94    (62)  all_24_8 = e23
% 242.79/47.94    (63)  all_24_1 = e22
% 242.79/47.94    (64)  all_24_16 = e20
% 242.79/47.94    (65)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 242.79/47.94            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 242.79/47.94            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 242.79/47.94    (66)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 242.79/47.94    (67)  op2(e21, e20) = all_6_1
% 242.79/47.94    (68)   ~ (all_4_0 = e23)
% 242.79/47.94    (69)  op2(e22, e21) = all_16_17
% 242.79/47.94    (70)  op2(all_6_1, e21) = all_6_0
% 242.79/47.94    (71)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.94            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 242.79/47.94            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 242.79/47.94    (72)   ~ (all_16_22 = e23)
% 242.79/47.94    (73)   ~ (all_4_0 = e20)
% 242.79/47.94    (74)   ~ (all_16_8 = e23)
% 242.79/47.94    (75)  op2(e22, e23) = all_16_7
% 242.79/47.94    (76)  op2(e20, e24) = e20
% 242.79/47.94    (77)   ~ (all_16_19 = e24)
% 242.79/47.94    (78)  op2(unit2, e22) = e22
% 242.79/47.94    (79)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 242.79/47.94            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 242.79/47.94            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 242.79/47.94    (80)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 242.79/47.94    (81)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 242.79/47.94            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 242.79/47.94            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 242.79/47.94    (82)  op2(e22, e23) = e20
% 242.79/47.94    (83)   ~ (e21 = e20)
% 242.79/47.94    (84)  op2(e24, e21) = all_16_15
% 242.79/47.94    (85)   ~ (e24 = e22)
% 242.79/47.94    (86)  op2(e20, e20) = all_8_2
% 242.79/47.94    (87)  all_24_17 = e23
% 242.79/47.94    (88)  op2(e21, all_6_0) = all_6_3
% 242.79/47.94    (89)  op2(e23, e24) = all_16_1
% 242.79/47.94    (90)   ~ (e24 = e23)
% 242.79/47.94    (91)  op2(e23, e21) = all_10_1
% 242.79/47.94    (92)  all_24_20 = e20
% 242.79/47.94    (93)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 242.79/47.94            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 242.79/47.94            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 242.79/47.94    (94)  op2(e20, e21) = all_16_19
% 242.79/47.94    (95)  op2(e22, e22) = e23
% 242.79/47.94    (96)  all_20_5 = all_16_1
% 242.79/47.94    (97)   ~ (all_8_2 = e20)
% 242.79/47.94    (98)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 242.79/47.94            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 242.79/47.94            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 242.79/47.94    (99)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 242.79/47.94            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 242.79/47.94            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 242.79/47.94    (100)   ~ (all_6_1 = e24)
% 242.79/47.94    (101)  all_24_5 = e20
% 242.79/47.94    (102)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 242.79/47.94               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 242.79/47.94             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 242.79/47.94             e21)
% 242.79/47.94    (103)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 242.79/47.94               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 242.79/47.94             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 242.79/47.94    (104)  op2(e24, e21) = e23
% 242.79/47.94    (105)  all_24_3 = e21
% 242.79/47.94    (106)  op2(e21, e24) = e23
% 242.79/47.94    (107)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 242.79/47.94               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 242.79/47.94             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 242.79/47.94  
% 242.79/47.94  Begin of proof
% 242.79/47.94  | 
% 242.79/47.94  | ALPHA: (8) implies:
% 242.79/47.94  |   (108)  all_24_4 = e24
% 242.79/47.94  | 
% 242.79/47.94  | BETA: splitting (38) gives:
% 242.79/47.94  | 
% 242.79/47.94  | Case 1:
% 242.79/47.94  | | 
% 242.79/47.94  | |   (109)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 242.79/47.94  | |              e23) = e21)
% 242.79/47.94  | | 
% 242.79/47.94  | | BETA: splitting (109) gives:
% 242.79/47.94  | | 
% 242.79/47.94  | | Case 1:
% 242.79/47.94  | | | 
% 242.79/47.94  | | |   (110)  all_24_0 = e21 & op2(e24, e24) = e21
% 242.79/47.94  | | | 
% 242.79/47.94  | | | ALPHA: (110) implies:
% 242.79/47.94  | | |   (111)  all_24_0 = e21
% 242.79/47.94  | | | 
% 242.79/47.94  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 242.79/47.94  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 242.79/47.94  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 242.79/47.94  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 242.79/47.94  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 242.79/47.94  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 242.79/47.94  | | |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 242.79/47.94  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 242.79/47.94  | | |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 242.79/47.94  | | |            (94), (95), (96), (97), (98), (99), (100), (101), (102), (103),
% 242.79/47.94  | | |            (104), (105), (106), (107), (111) are inconsistent by sub-proof
% 242.79/47.94  | | |            #296.
% 242.79/47.94  | | | 
% 242.79/47.94  | | Case 2:
% 242.79/47.94  | | | 
% 242.79/47.94  | | |   (112)  all_24_1 = e21 & op2(e24, e23) = e21
% 242.79/47.94  | | | 
% 242.79/47.94  | | | REF_CLOSE: (33), (43), (49), (112) are inconsistent by sub-proof #866.
% 242.79/47.94  | | | 
% 242.79/47.94  | | End of split
% 242.79/47.94  | | 
% 242.79/47.94  | Case 2:
% 242.79/47.94  | | 
% 242.79/47.94  | |   (113)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 242.79/47.94  | |              e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 242.79/47.94  | | 
% 242.79/47.94  | | BETA: splitting (113) gives:
% 242.79/47.94  | | 
% 242.79/47.94  | | Case 1:
% 242.79/47.94  | | | 
% 242.79/47.94  | | |   (114)  all_24_4 = e21 & op2(e24, e22) = e21
% 242.79/47.94  | | | 
% 242.79/47.94  | | | REF_CLOSE: (46), (108), (114) are inconsistent by sub-proof #759.
% 242.79/47.94  | | | 
% 242.79/47.94  | | Case 2:
% 242.79/47.94  | | | 
% 242.79/47.94  | | |   (115)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 242.79/47.94  | | |            op2(e24, e20) = e21)
% 242.79/47.94  | | | 
% 242.79/47.94  | | | BETA: splitting (115) gives:
% 242.79/47.94  | | | 
% 242.79/47.94  | | | Case 1:
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | |   (116)  all_24_9 = e21 & op2(e24, e21) = e21
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | | REF_CLOSE: (19), (21), (24), (27), (28), (33), (39), (40), (46), (52),
% 242.79/47.94  | | | |            (85), (87), (90), (91), (98), (107), (116) are inconsistent
% 242.79/47.94  | | | |            by sub-proof #734.
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | Case 2:
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | |   (117)  all_24_16 = e21 & op2(e24, e20) = e21
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | | REF_CLOSE: (64), (83), (117) are inconsistent by sub-proof #642.
% 242.79/47.94  | | | | 
% 242.79/47.94  | | | End of split
% 242.79/47.94  | | | 
% 242.79/47.94  | | End of split
% 242.79/47.94  | | 
% 242.79/47.94  | End of split
% 242.79/47.94  | 
% 242.79/47.94  End of proof
% 242.79/47.94  
% 242.79/47.94  Sub-proof #296 shows that the following formulas are inconsistent:
% 242.79/47.94  ----------------------------------------------------------------
% 242.79/47.94    (1)  op2(e24, e22) = all_16_10
% 242.79/47.94    (2)  all_24_7 = e20
% 242.79/47.94    (3)  op2(e24, e24) = all_12_2
% 242.79/47.94    (4)  op2(e23, e20) = e23
% 242.79/47.94    (5)  op2(e20, e23) = e23
% 242.79/47.94    (6)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 242.79/47.94           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 242.79/47.94           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 242.79/47.94    (7)  op2(e21, e23) = e24
% 242.79/47.94    (8)  op2(all_12_1, e24) = all_12_0
% 242.79/47.94    (9)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 242.79/47.94           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 242.79/47.94           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 242.79/47.94    (10)  op2(e20, e22) = all_4_0
% 242.79/47.94    (11)  op2(e22, unit2) = e22
% 242.79/47.94    (12)   ~ (all_16_15 = e24)
% 242.79/47.94    (13)  op2(e23, unit2) = e23
% 242.79/47.94    (14)  op2(e21, e22) = all_16_13
% 242.79/47.94    (15)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 242.79/47.94              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 242.79/47.94            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 242.79/47.94    (16)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 242.79/47.94              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 242.79/47.94            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.94    (17)   ~ (e24 = e20)
% 242.79/47.94    (18)   ~ (e23 = e21)
% 242.79/47.94    (19)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 242.79/47.94              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 242.79/47.94            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 242.79/47.94    (20)  op2(e23, e21) = e24
% 242.79/47.94    (21)   ~ (all_16_1 = e21)
% 243.01/47.94    (22)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.01/47.94            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.01/47.94            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.01/47.94    (23)  op2(e23, e23) = e21
% 243.01/47.94    (24)  op2(e22, e20) = all_16_22
% 243.01/47.94    (25)  op2(e22, e24) = all_16_2
% 243.01/47.94    (26)  all_24_2 = e22
% 243.01/47.94    (27)   ~ (e23 = e22)
% 243.01/47.94    (28)   ~ (e22 = e20)
% 243.01/47.94    (29)  op2(e21, e23) = all_16_8
% 243.01/47.94    (30)  all_24_15 = e20
% 243.01/47.94    (31)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.01/47.94            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.01/47.94            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.01/47.94    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.01/47.94            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.01/47.94    (33)  all_24_0 = e21
% 243.01/47.94    (34)  op2(e23, e24) = e22
% 243.01/47.94    (35)  op2(e22, all_4_0) = all_4_3
% 243.01/47.94    (36)  all_24_21 = e23
% 243.01/47.94    (37)   ~ (all_16_22 = e20)
% 243.01/47.94    (38)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.01/47.94            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.01/47.94            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.01/47.94    (39)   ~ (e23 = e20)
% 243.01/47.94    (40)  all_24_9 = e23
% 243.01/47.94    (41)  op2(e24, all_12_2) = all_12_1
% 243.01/47.94    (42)   ~ (all_16_7 = e23)
% 243.01/47.94    (43)  op2(e24, e23) = e22
% 243.01/47.94    (44)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.01/47.94              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.01/47.94            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.01/47.94    (45)  op2(e21, e21) = e20
% 243.01/47.94    (46)   ~ (e24 = e21)
% 243.01/47.94    (47)   ~ (all_8_2 = e23)
% 243.01/47.95    (48)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.01/47.95              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.01/47.95            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.01/47.95    (49)   ~ (e22 = e21)
% 243.01/47.95    (50)   ~ (all_16_1 = e20)
% 243.01/47.95    (51)   ~ (all_16_17 = e24)
% 243.01/47.95    (52)  op2(e23, e22) = e20
% 243.01/47.95    (53)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 243.01/47.95            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.01/47.95              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 243.01/47.95            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 243.01/47.95            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 243.01/47.95            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 243.01/47.95            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 243.01/47.95          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 243.01/47.95            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.01/47.95              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 243.01/47.95            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 243.01/47.95            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 243.01/47.95            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 243.01/47.95            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.01/47.95          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 243.01/47.95            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.01/47.95              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 243.01/47.95            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 243.01/47.95              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 243.01/47.95            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 243.01/47.95              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 243.01/47.95          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 243.01/47.95            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.01/47.95              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 243.01/47.95            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 243.01/47.95              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 243.01/47.95            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 243.01/47.95              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 243.01/47.95          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 243.01/47.95            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 243.01/47.95              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 243.01/47.95            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 243.01/47.95              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 243.01/47.95            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 243.01/47.95              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 243.01/47.95          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 243.01/47.95            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.01/47.95              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 243.01/47.95            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 243.01/47.95              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 243.01/47.95            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 243.01/47.95              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 243.01/47.95          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 243.01/47.95            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.01/47.95              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 243.01/47.95            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 243.01/47.95              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 243.01/47.95            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 243.01/47.95              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.01/47.95          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 243.01/47.95            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.01/47.95              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 243.01/47.95            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 243.01/47.95              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 243.01/47.95            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 243.01/47.95              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 243.01/47.95          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 243.01/47.95            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.01/47.95              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 243.01/47.95            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 243.01/47.95              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 243.01/47.95            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 243.01/47.95              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 243.01/47.95          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 243.01/47.95            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.01/47.95              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 243.01/47.95            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 243.01/47.95              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 243.01/47.95            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 243.01/47.95              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.01/47.95    (54)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.01/47.95            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.01/47.95            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.01/47.95    (55)   ~ (all_16_1 = e23)
% 243.01/47.95    (56)  op2(e20, all_8_2) = all_8_1
% 243.01/47.95    (57)  op2(e24, e20) = e20
% 243.01/47.95    (58)  all_24_12 = e23
% 243.03/47.95    (59)   ~ (all_16_22 = all_8_2)
% 243.03/47.95    (60)  all_24_13 = e24
% 243.03/47.95    (61)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.03/47.95              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.03/47.95            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.03/47.95    (62)  all_24_8 = e23
% 243.03/47.95    (63)  all_24_1 = e22
% 243.03/47.95    (64)  all_24_16 = e20
% 243.03/47.95    (65)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.03/47.95            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.03/47.95            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.03/47.95    (66)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.03/47.95    (67)  op2(e21, e20) = all_6_1
% 243.03/47.95    (68)   ~ (all_4_0 = e23)
% 243.03/47.95    (69)  op2(e22, e21) = all_16_17
% 243.03/47.95    (70)  op2(all_6_1, e21) = all_6_0
% 243.03/47.95    (71)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.03/47.95            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.03/47.95            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.03/47.95    (72)   ~ (all_16_22 = e23)
% 243.03/47.95    (73)   ~ (all_4_0 = e20)
% 243.03/47.95    (74)   ~ (all_16_8 = e23)
% 243.03/47.95    (75)  op2(e22, e23) = all_16_7
% 243.03/47.95    (76)  op2(e20, e24) = e20
% 243.03/47.95    (77)   ~ (all_16_19 = e24)
% 243.03/47.95    (78)  op2(unit2, e22) = e22
% 243.03/47.95    (79)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.03/47.95            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.03/47.95            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.03/47.95    (80)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.03/47.95    (81)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.03/47.95            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.03/47.95            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.03/47.95    (82)  op2(e22, e23) = e20
% 243.03/47.95    (83)   ~ (e21 = e20)
% 243.03/47.95    (84)  op2(e24, e21) = all_16_15
% 243.03/47.95    (85)   ~ (e24 = e22)
% 243.03/47.95    (86)  op2(e20, e20) = all_8_2
% 243.03/47.95    (87)  all_24_17 = e23
% 243.03/47.95    (88)  op2(e21, all_6_0) = all_6_3
% 243.03/47.95    (89)  op2(e23, e24) = all_16_1
% 243.03/47.95    (90)   ~ (e24 = e23)
% 243.03/47.95    (91)  op2(e23, e21) = all_10_1
% 243.03/47.95    (92)  all_24_20 = e20
% 243.03/47.95    (93)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.03/47.95            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.03/47.95            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.03/47.95    (94)  op2(e20, e21) = all_16_19
% 243.03/47.95    (95)  op2(e22, e22) = e23
% 243.03/47.95    (96)  all_20_5 = all_16_1
% 243.03/47.95    (97)   ~ (all_8_2 = e20)
% 243.03/47.95    (98)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.03/47.95            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.03/47.95            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.03/47.95    (99)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.03/47.95            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.03/47.95            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.03/47.95    (100)   ~ (all_6_1 = e24)
% 243.03/47.95    (101)  all_24_5 = e20
% 243.03/47.95    (102)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.03/47.95               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.03/47.95             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.03/47.95             e21)
% 243.03/47.95    (103)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.03/47.95               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.03/47.95             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.03/47.95    (104)  op2(e24, e21) = e23
% 243.03/47.95    (105)  all_24_3 = e21
% 243.03/47.95    (106)  op2(e21, e24) = e23
% 243.03/47.95    (107)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.03/47.95               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.03/47.95             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.03/47.95  
% 243.03/47.95  Begin of proof
% 243.03/47.95  | 
% 243.03/47.95  | BETA: splitting (31) gives:
% 243.03/47.95  | 
% 243.03/47.95  | Case 1:
% 243.03/47.95  | | 
% 243.03/47.95  | |   (108)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23,
% 243.03/47.95  | |              e24) = e24)
% 243.03/47.95  | | 
% 243.03/47.95  | | REF_CLOSE: (18), (20), (23), (27), (28), (32), (33), (39), (46), (49), (52),
% 243.03/47.95  | |            (79), (85), (90), (91), (107), (108) are inconsistent by
% 243.03/47.95  | |            sub-proof #821.
% 243.03/47.95  | | 
% 243.03/47.95  | Case 2:
% 243.03/47.95  | | 
% 243.03/47.95  | |   (109)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.03/47.95  | |            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.03/47.95  | | 
% 243.03/47.95  | | BETA: splitting (109) gives:
% 243.03/47.95  | | 
% 243.03/47.95  | | Case 1:
% 243.03/47.95  | | | 
% 243.03/47.95  | | |   (110)  all_24_6 = e24 & op2(e22, e24) = e24
% 243.03/47.95  | | | 
% 243.03/47.95  | | | ALPHA: (110) implies:
% 243.03/47.95  | | |   (111)  all_24_6 = e24
% 243.03/47.95  | | | 
% 243.03/47.95  | | | BETA: splitting (99) gives:
% 243.03/47.95  | | | 
% 243.03/47.95  | | | Case 1:
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | |   (112)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 &
% 243.03/47.95  | | | |            op2(e22, e23) = e21)
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28), (32), (36),
% 243.03/47.95  | | | |            (39), (43), (46), (49), (52), (60), (83), (85), (87), (90),
% 243.03/47.95  | | | |            (91), (98), (103), (107), (111), (112) are inconsistent by
% 243.03/47.95  | | | |            sub-proof #524.
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | Case 2:
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | |   (113)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.03/47.95  | | | |            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) =
% 243.03/47.95  | | | |            e21)
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | | BETA: splitting (113) gives:
% 243.03/47.95  | | | | 
% 243.03/47.95  | | | | Case 1:
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | |   (114)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (32), (39), (46), (52), (62),
% 243.03/47.95  | | | | |            (85), (87), (90), (91), (98), (107), (114) are inconsistent
% 243.03/47.95  | | | | |            by sub-proof #758.
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | Case 2:
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | |   (115)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 243.03/47.95  | | | | |            op2(e22, e20) = e21)
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | | BETA: splitting (115) gives:
% 243.03/47.95  | | | | | 
% 243.03/47.95  | | | | | Case 1:
% 243.03/47.95  | | | | | | 
% 243.03/47.95  | | | | | |   (116)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.03/47.95  | | | | | | 
% 243.03/47.95  | | | | | | ALPHA: (116) implies:
% 243.03/47.95  | | | | | |   (117)  all_24_11 = e21
% 243.03/47.95  | | | | | |   (118)  op2(e22, e21) = e21
% 243.03/47.96  | | | | | | 
% 243.03/47.96  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 243.03/47.96  | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20),
% 243.03/47.96  | | | | | |            (21), (22), (23), (24), (25), (26), (27), (28), (29),
% 243.03/47.96  | | | | | |            (30), (31), (32), (34), (35), (36), (37), (38), (39),
% 243.03/47.96  | | | | | |            (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 243.03/47.96  | | | | | |            (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 243.03/47.96  | | | | | |            (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 243.03/47.96  | | | | | |            (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 243.03/47.96  | | | | | |            (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 243.03/47.96  | | | | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 243.03/47.96  | | | | | |            (94), (95), (96), (97), (98), (100), (101), (102), (103),
% 243.03/47.96  | | | | | |            (104), (105), (106), (107), (117), (118) are inconsistent
% 243.03/47.96  | | | | | |            by sub-proof #297.
% 243.03/47.96  | | | | | | 
% 243.03/47.96  | | | | | Case 2:
% 243.03/47.96  | | | | | | 
% 243.03/47.96  | | | | | |   (119)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.03/47.96  | | | | | | 
% 243.03/47.96  | | | | | | REF_CLOSE: (11), (13), (20), (27), (32), (34), (39), (49), (52),
% 243.03/47.96  | | | | | |            (66), (90), (91), (119) are inconsistent by sub-proof
% 243.03/47.96  | | | | | |            #797.
% 243.03/47.96  | | | | | | 
% 243.03/47.96  | | | | | End of split
% 243.03/47.96  | | | | | 
% 243.03/47.96  | | | | End of split
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | End of split
% 243.03/47.96  | | | 
% 243.03/47.96  | | Case 2:
% 243.03/47.96  | | | 
% 243.03/47.96  | | |   (120)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 = e24 &
% 243.03/47.96  | | |            op2(e20, e24) = e24)
% 243.03/47.96  | | | 
% 243.03/47.96  | | | BETA: splitting (120) gives:
% 243.03/47.96  | | | 
% 243.03/47.96  | | | Case 1:
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | |   (121)  all_24_12 = e24 & op2(e21, e24) = e24
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | ALPHA: (121) implies:
% 243.03/47.96  | | | |   (122)  all_24_12 = e24
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | COMBINE_EQS: (58), (122) imply:
% 243.03/47.96  | | | |   (123)  e24 = e23
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | SIMP: (123) implies:
% 243.03/47.96  | | | |   (124)  e24 = e23
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | COMBINE_EQS: (60), (124) imply:
% 243.03/47.96  | | | |   (125)  all_24_13 = e23
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28), (32), (36),
% 243.03/47.96  | | | |            (39), (43), (46), (49), (52), (63), (71), (83), (85), (87),
% 243.03/47.96  | | | |            (90), (91), (98), (103), (105), (107), (125) are inconsistent
% 243.03/47.96  | | | |            by sub-proof #842.
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | Case 2:
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | |   (126)  all_24_20 = e24 & op2(e20, e24) = e24
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | | REF_CLOSE: (17), (92), (126) are inconsistent by sub-proof #820.
% 243.03/47.96  | | | | 
% 243.03/47.96  | | | End of split
% 243.03/47.96  | | | 
% 243.03/47.96  | | End of split
% 243.03/47.96  | | 
% 243.03/47.96  | End of split
% 243.03/47.96  | 
% 243.03/47.96  End of proof
% 243.03/47.96  
% 243.03/47.96  Sub-proof #297 shows that the following formulas are inconsistent:
% 243.03/47.96  ----------------------------------------------------------------
% 243.03/47.96    (1)  op2(e24, e22) = all_16_10
% 243.03/47.96    (2)  all_24_7 = e20
% 243.03/47.96    (3)  op2(e24, e24) = all_12_2
% 243.03/47.96    (4)  op2(e23, e20) = e23
% 243.03/47.96    (5)  op2(e20, e23) = e23
% 243.03/47.96    (6)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.03/47.96           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.03/47.96           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.03/47.96    (7)  op2(e21, e23) = e24
% 243.03/47.96    (8)  op2(all_12_1, e24) = all_12_0
% 243.03/47.96    (9)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.03/47.96           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.03/47.96           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.03/47.96    (10)  op2(e20, e22) = all_4_0
% 243.03/47.96    (11)  op2(e22, unit2) = e22
% 243.03/47.96    (12)   ~ (all_16_15 = e24)
% 243.03/47.96    (13)  op2(e23, unit2) = e23
% 243.03/47.96    (14)  op2(e21, e22) = all_16_13
% 243.03/47.96    (15)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.03/47.96              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.03/47.96            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.03/47.96    (16)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 243.03/47.96              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 243.03/47.96            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.03/47.96    (17)   ~ (e24 = e20)
% 243.03/47.96    (18)   ~ (e23 = e21)
% 243.03/47.96    (19)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.03/47.96              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.03/47.96            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.03/47.96    (20)  op2(e23, e21) = e24
% 243.03/47.96    (21)   ~ (all_16_1 = e21)
% 243.03/47.96    (22)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.03/47.96            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.03/47.96            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.03/47.96    (23)  op2(e23, e23) = e21
% 243.03/47.96    (24)  op2(e22, e20) = all_16_22
% 243.03/47.96    (25)  op2(e22, e24) = all_16_2
% 243.03/47.96    (26)  all_24_2 = e22
% 243.03/47.96    (27)   ~ (e23 = e22)
% 243.03/47.96    (28)   ~ (e22 = e20)
% 243.03/47.96    (29)  op2(e21, e23) = all_16_8
% 243.03/47.96    (30)  all_24_15 = e20
% 243.03/47.96    (31)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.03/47.96            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.03/47.96            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.03/47.96    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.03/47.96            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.03/47.96    (33)  op2(e23, e24) = e22
% 243.03/47.96    (34)  op2(e22, all_4_0) = all_4_3
% 243.03/47.96    (35)  all_24_21 = e23
% 243.03/47.96    (36)   ~ (all_16_22 = e20)
% 243.03/47.96    (37)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.03/47.96            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.03/47.96            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.03/47.96    (38)   ~ (e23 = e20)
% 243.03/47.96    (39)  all_24_9 = e23
% 243.03/47.96    (40)  op2(e24, all_12_2) = all_12_1
% 243.03/47.96    (41)   ~ (all_16_7 = e23)
% 243.03/47.96    (42)  op2(e24, e23) = e22
% 243.03/47.96    (43)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.03/47.96              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.03/47.96            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.03/47.96    (44)  op2(e21, e21) = e20
% 243.03/47.96    (45)   ~ (e24 = e21)
% 243.03/47.96    (46)   ~ (all_8_2 = e23)
% 243.03/47.96    (47)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.03/47.96              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.03/47.96            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.03/47.96    (48)   ~ (e22 = e21)
% 243.03/47.96    (49)   ~ (all_16_1 = e20)
% 243.03/47.96    (50)   ~ (all_16_17 = e24)
% 243.03/47.96    (51)  all_24_11 = e21
% 243.03/47.96    (52)  op2(e23, e22) = e20
% 243.03/47.96    (53)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 243.03/47.96            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.03/47.96              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 243.03/47.96            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 243.03/47.96            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 243.03/47.96            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 243.03/47.96            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.96          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 243.03/47.96            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.03/47.96              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 243.03/47.96            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 243.03/47.96            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 243.03/47.96            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 243.03/47.96            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/47.96          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 243.03/47.96            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.96              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 243.03/47.96            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 243.03/47.96              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 243.03/47.96            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 243.03/47.96              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 243.03/47.96          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 243.03/47.96            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.03/47.96              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 243.03/47.96            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 243.03/47.96              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 243.03/47.96            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 243.03/47.96              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/47.96          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 243.03/47.96            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 243.03/47.96              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 243.03/47.96            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 243.03/47.96              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 243.03/47.96            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 243.03/47.96              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 243.03/47.96          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 243.03/47.96            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.03/47.96              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 243.03/47.96            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 243.03/47.96              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 243.03/47.96            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 243.03/47.96              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 243.03/47.96          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 243.03/47.96            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.03/47.96              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 243.03/47.96            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 243.03/47.96              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 243.03/47.96            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 243.03/47.96              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/47.96          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 243.03/47.96            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/47.96              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 243.03/47.96            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 243.03/47.96              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 243.03/47.96            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 243.03/47.96              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 243.03/47.96          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 243.03/47.96            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.03/47.96              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 243.03/47.96            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 243.03/47.96              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 243.03/47.96            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 243.03/47.96              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/47.96          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 243.03/47.96            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.03/47.96              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 243.03/47.96            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 243.03/47.96              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 243.03/47.96            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 243.03/47.96              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.03/47.96    (54)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.03/47.96            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.03/47.96            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.03/47.96    (55)   ~ (all_16_1 = e23)
% 243.03/47.96    (56)  op2(e20, all_8_2) = all_8_1
% 243.03/47.96    (57)  op2(e24, e20) = e20
% 243.03/47.96    (58)  all_24_12 = e23
% 243.03/47.96    (59)   ~ (all_16_22 = all_8_2)
% 243.03/47.96    (60)  all_24_13 = e24
% 243.03/47.96    (61)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.03/47.96              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.03/47.96            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.03/47.96    (62)  all_24_8 = e23
% 243.03/47.96    (63)  all_24_1 = e22
% 243.03/47.96    (64)  all_24_16 = e20
% 243.03/47.96    (65)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.03/47.96            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.03/47.96            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.03/47.96    (66)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.03/47.96    (67)  op2(e21, e20) = all_6_1
% 243.03/47.96    (68)   ~ (all_4_0 = e23)
% 243.03/47.96    (69)  op2(e22, e21) = all_16_17
% 243.03/47.96    (70)  op2(all_6_1, e21) = all_6_0
% 243.03/47.96    (71)  op2(e22, e21) = e21
% 243.03/47.97    (72)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.03/47.97            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.03/47.97            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.03/47.97    (73)   ~ (all_16_22 = e23)
% 243.03/47.97    (74)   ~ (all_4_0 = e20)
% 243.03/47.97    (75)   ~ (all_16_8 = e23)
% 243.03/47.97    (76)  op2(e22, e23) = all_16_7
% 243.03/47.97    (77)  op2(e20, e24) = e20
% 243.03/47.97    (78)   ~ (all_16_19 = e24)
% 243.03/47.97    (79)  op2(unit2, e22) = e22
% 243.03/47.97    (80)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.03/47.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.03/47.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.03/47.97    (81)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.03/47.97    (82)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.03/47.97            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.03/47.97            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.03/47.97    (83)  op2(e22, e23) = e20
% 243.03/47.97    (84)   ~ (e21 = e20)
% 243.03/47.97    (85)  op2(e24, e21) = all_16_15
% 243.03/47.97    (86)   ~ (e24 = e22)
% 243.03/47.97    (87)  op2(e20, e20) = all_8_2
% 243.03/47.97    (88)  all_24_17 = e23
% 243.03/47.97    (89)  op2(e21, all_6_0) = all_6_3
% 243.03/47.97    (90)  op2(e23, e24) = all_16_1
% 243.03/47.97    (91)   ~ (e24 = e23)
% 243.03/47.97    (92)  op2(e23, e21) = all_10_1
% 243.03/47.97    (93)  all_24_20 = e20
% 243.03/47.97    (94)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.03/47.97            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.03/47.97            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.03/47.97    (95)  op2(e20, e21) = all_16_19
% 243.03/47.97    (96)  op2(e22, e22) = e23
% 243.03/47.97    (97)  all_20_5 = all_16_1
% 243.03/47.97    (98)   ~ (all_8_2 = e20)
% 243.03/47.97    (99)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.03/47.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.03/47.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.03/47.97    (100)   ~ (all_6_1 = e24)
% 243.03/47.97    (101)  all_24_5 = e20
% 243.03/47.97    (102)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.03/47.97               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.03/47.97             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.03/47.97             e21)
% 243.03/47.97    (103)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.03/47.97               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.03/47.97             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.03/47.97    (104)  op2(e24, e21) = e23
% 243.03/47.97    (105)  all_24_3 = e21
% 243.03/47.97    (106)  op2(e21, e24) = e23
% 243.03/47.97    (107)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.03/47.97               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.03/47.97             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.03/47.97  
% 243.03/47.97  Begin of proof
% 243.03/47.97  | 
% 243.03/47.97  | BETA: splitting (6) gives:
% 243.03/47.97  | 
% 243.03/47.97  | Case 1:
% 243.03/47.97  | | 
% 243.03/47.97  | |   (108)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22,
% 243.03/47.97  | |              e23) = e22)
% 243.03/47.97  | | 
% 243.03/47.97  | | REF_CLOSE: (9), (17), (18), (20), (22), (23), (26), (27), (28), (31), (32),
% 243.03/47.97  | |            (35), (38), (42), (45), (48), (52), (58), (63), (72), (80), (84),
% 243.03/47.97  | |            (86), (88), (91), (92), (93), (99), (101), (103), (105), (107),
% 243.03/47.97  | |            (108) are inconsistent by sub-proof #311.
% 243.03/47.97  | | 
% 243.03/47.97  | Case 2:
% 243.03/47.97  | | 
% 243.03/47.97  | |   (109)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.03/47.97  | |            op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.03/47.97  | | 
% 243.03/47.97  | | BETA: splitting (109) gives:
% 243.03/47.97  | | 
% 243.03/47.97  | | Case 1:
% 243.03/47.97  | | | 
% 243.03/47.97  | | |   (110)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.03/47.97  | | | 
% 243.03/47.97  | | | REF_CLOSE: (18), (20), (21), (23), (27), (32), (38), (49), (52), (55),
% 243.03/47.97  | | |            (62), (81), (88), (90), (91), (92), (97), (107), (110) are
% 243.03/47.97  | | |            inconsistent by sub-proof #854.
% 243.03/47.97  | | | 
% 243.03/47.97  | | Case 2:
% 243.03/47.97  | | | 
% 243.03/47.97  | | |   (111)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 243.03/47.97  | | |            op2(e22, e20) = e22)
% 243.03/47.97  | | | 
% 243.03/47.97  | | | BETA: splitting (111) gives:
% 243.03/47.97  | | | 
% 243.03/47.97  | | | Case 1:
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | |   (112)  all_24_11 = e22 & op2(e22, e21) = e22
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | | ALPHA: (112) implies:
% 243.03/47.97  | | | |   (113)  all_24_11 = e22
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32), (38), (45),
% 243.03/47.97  | | | |            (48), (51), (52), (80), (86), (91), (92), (99), (101), (107),
% 243.03/47.97  | | | |            (113) are inconsistent by sub-proof #792.
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | Case 2:
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | |   (114)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | | ALPHA: (114) implies:
% 243.03/47.97  | | | |   (115)  all_24_18 = e22
% 243.03/47.97  | | | |   (116)  op2(e22, e20) = e22
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | | BETA: splitting (82) gives:
% 243.03/47.97  | | | | 
% 243.03/47.97  | | | | Case 1:
% 243.03/47.97  | | | | | 
% 243.03/47.97  | | | | |   (117)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 &
% 243.03/47.97  | | | | |            op2(e22, e23) = e24)
% 243.03/47.97  | | | | | 
% 243.03/47.97  | | | | | BETA: splitting (117) gives:
% 243.03/47.97  | | | | | 
% 243.03/47.97  | | | | | Case 1:
% 243.03/47.97  | | | | | | 
% 243.03/47.97  | | | | | |   (118)  all_24_6 = e24 & op2(e22, e24) = e24
% 243.03/47.97  | | | | | | 
% 243.03/47.97  | | | | | | ALPHA: (118) implies:
% 243.03/47.97  | | | | | |   (119)  all_24_6 = e24
% 243.03/47.97  | | | | | |   (120)  op2(e22, e24) = e24
% 243.03/47.97  | | | | | | 
% 243.03/47.97  | | | | | | BETA: splitting (61) gives:
% 243.03/47.97  | | | | | | 
% 243.03/47.97  | | | | | | Case 1:
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | |   (121)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22
% 243.03/47.97  | | | | | | |            & op2(e23, e21) = e22)
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | | REF_CLOSE: (18), (20), (21), (23), (27), (32), (38), (39), (49),
% 243.03/47.97  | | | | | | |            (52), (55), (81), (86), (88), (90), (91), (92), (97),
% 243.03/47.97  | | | | | | |            (107), (121) are inconsistent by sub-proof #371.
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | Case 2:
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | |   (122)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.03/47.97  | | | | | | |            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 243.03/47.97  | | | | | | |            op2(e20, e21) = e22)
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | | BETA: splitting (122) gives:
% 243.03/47.97  | | | | | | | 
% 243.03/47.97  | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | |   (123)  all_24_11 = e22 & op2(e22, e21) = e22
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | | ALPHA: (123) implies:
% 243.03/47.97  | | | | | | | |   (124)  all_24_11 = e22
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32), (38),
% 243.03/47.97  | | | | | | | |            (45), (48), (51), (52), (80), (86), (91), (92), (99),
% 243.03/47.97  | | | | | | | |            (101), (107), (124) are inconsistent by sub-proof
% 243.03/47.97  | | | | | | | |            #792.
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | |   (125)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 =
% 243.03/47.97  | | | | | | | |            e22 & op2(e20, e21) = e22)
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | | BETA: splitting (125) gives:
% 243.03/47.97  | | | | | | | | 
% 243.03/47.97  | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | |   (126)  all_24_15 = e22 & op2(e21, e21) = e22
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | ALPHA: (126) implies:
% 243.03/47.97  | | | | | | | | |   (127)  all_24_15 = e22
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28),
% 243.03/47.97  | | | | | | | | |            (30), (32), (38), (45), (48), (52), (80), (84),
% 243.03/47.97  | | | | | | | | |            (86), (91), (92), (99), (107), (127) are
% 243.03/47.97  | | | | | | | | |            inconsistent by sub-proof #785.
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | |   (128)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | ALPHA: (128) implies:
% 243.03/47.97  | | | | | | | | |   (129)  all_24_23 = e22
% 243.03/47.97  | | | | | | | | |   (130)  op2(e20, e21) = e22
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | BETA: splitting (9) gives:
% 243.03/47.97  | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | |   (131)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 243.03/47.97  | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 243.03/47.97  | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | BETA: splitting (131) gives:
% 243.03/47.97  | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | |   (132)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.03/47.97  | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | ALPHA: (132) implies:
% 243.03/47.97  | | | | | | | | | | |   (133)  all_24_0 = e21
% 243.03/47.97  | | | | | | | | | | |   (134)  op2(e24, e24) = e21
% 243.03/47.97  | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | BETA: splitting (16) gives:
% 243.03/47.97  | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | |   (135)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 243.03/47.97  | | | | | | | | | | | |          (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (32), (38),
% 243.03/47.97  | | | | | | | | | | | |            (52), (64), (91), (92), (107), (135) are
% 243.03/47.97  | | | | | | | | | | | |            inconsistent by sub-proof #644.
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | |   (136)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 243.03/47.97  | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24) |
% 243.03/47.97  | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | BETA: splitting (136) gives:
% 243.03/47.97  | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | |   (137)  all_24_18 = e24 & op2(e22, e20) = e24
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | ALPHA: (137) implies:
% 243.03/47.97  | | | | | | | | | | | | |   (138)  all_24_18 = e24
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | COMBINE_EQS: (115), (138) imply:
% 243.03/47.97  | | | | | | | | | | | | |   (139)  e24 = e22
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | COMBINE_EQS: (119), (139) imply:
% 243.03/47.97  | | | | | | | | | | | | |   (140)  all_24_6 = e22
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (27), (28), (31), (32),
% 243.03/47.97  | | | | | | | | | | | | |            (38), (45), (48), (52), (58), (80), (86), (91),
% 243.03/47.97  | | | | | | | | | | | | |            (92), (93), (107), (133), (140) are inconsistent
% 243.03/47.97  | | | | | | | | | | | | |            by sub-proof #819.
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | |   (141)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 243.03/47.97  | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | BETA: splitting (141) gives:
% 243.03/47.97  | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | |   (142)  all_24_19 = e24 & op2(e21, e20) = e24
% 243.03/47.97  | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | ALPHA: (142) implies:
% 243.03/47.97  | | | | | | | | | | | | | |   (143)  all_24_19 = e24
% 243.03/47.97  | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 243.03/47.97  | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | |   (144)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | |   (145)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | |   (146)  all_24_16 = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (146) imply:
% 243.03/47.97  | | | | | | | | | | | | | | | |   (147)  e21 = e20
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | SIMP: (147) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | |   (148)  e21 = e20
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (148) imply:
% 243.03/47.97  | | | | | | | | | | | | | | | |   (149)  all_24_0 = e20
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (32),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (37), (38), (39), (42), (45), (48), (52), (63),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (64), (65), (84), (85), (86), (88), (91), (92),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (99), (107), (149) are inconsistent by sub-proof
% 243.03/47.97  | | | | | | | | | | | | | | | |            #339.
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | |   (150)  all_24_17 = e21 & op2(e23, e20) = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | |   (151)  all_24_17 = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (32), (38), (45),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (52), (86), (91), (92), (99), (107), (151) are
% 243.03/47.97  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | End of split
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | |   (152)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | |   (153)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (86), (91), (92),
% 243.03/47.97  | | | | | | | | | | | | | | | |            (99), (101), (107), (115), (153) are inconsistent
% 243.03/47.97  | | | | | | | | | | | | | | | |            by sub-proof #637.
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | |   (154)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | |   (155)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (32), (45), (50), (62), (69), (82),
% 243.03/47.97  | | | | | | | | | | | | | | | | |            (86), (91), (115), (119), (143), (155) are
% 243.03/47.97  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #310.
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | |   (156)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | | |   (157)  all_24_24 = e21
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | |   (158)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 243.03/47.97  | | | | | | | | | | | | | | | | | |            = e22 & op2(e23, e22) = e22)
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (28),
% 243.03/47.97  | | | | | | | | | | | | | | | | | |            (32), (37), (38), (39), (42), (45), (48), (52),
% 243.03/47.97  | | | | | | | | | | | | | | | | | |            (63), (64), (65), (80), (84), (85), (86), (88),
% 243.03/47.97  | | | | | | | | | | | | | | | | | |            (91), (92), (99), (101), (107), (158) are
% 243.03/47.97  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #307.
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | |   (159)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | |          (all_24_14 = e22 & op2(e21, e22) = e22) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |   (160)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |   (161)  all_24_8 = e22
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (161) imply:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |   (162)  e23 = e22
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (21), (23), (27), (32), (38), (49),
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |            (52), (55), (81), (88), (90), (91), (92), (97),
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |            (107), (162) are inconsistent by sub-proof #810.
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |   (163)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | |   (164)  all_24_14 = e22 & op2(e21, e22) = e22
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | |   (165)  all_24_14 = e22
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |   (166)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (18), (20), (23), (26), (27), (32),
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |            (38), (45), (50), (52), (58), (60), (62), (69),
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |            (82), (86), (88), (91), (92), (99), (107), (115),
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |            (119), (166) are inconsistent by sub-proof #306.
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |   (167)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.97  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (168)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_24_14 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (86), (91), (92),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            (99), (101), (107), (165), (169) are inconsistent
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #757.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (170)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (30),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            (32), (37), (38), (39), (42), (45), (48), (52),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (65), (84), (85), (86), (88), (91),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            (92), (99), (107), (133), (171) are inconsistent
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #305.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (32), (45), (50), (62), (69), (82),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            (86), (91), (115), (119), (143), (172) are
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #310.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |   (173)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |   (174)  all_24_22 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (19), (23), (27), (29), (32), (41),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            (42), (45), (75), (76), (78), (86), (91), (93),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            (94), (95), (157), (174) are inconsistent by
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            sub-proof #372.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | |   (175)  all_24_24 = e24 & op2(e20, e20) = e24
% 243.03/47.98  | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | ALPHA: (175) implies:
% 243.03/47.98  | | | | | | | | | | | | | |   (176)  all_24_24 = e24
% 243.03/47.98  | | | | | | | | | | | | | |   (177)  op2(e20, e20) = e24
% 243.03/47.98  | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 243.03/47.98  | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | |   (178)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | |   (179)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | |   (180)  all_24_20 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (180) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | |   (181)  e21 = e20
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (181) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | |   (182)  all_24_0 = e20
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (32),
% 243.03/47.98  | | | | | | | | | | | | | | | |            (37), (38), (39), (42), (45), (48), (52), (63),
% 243.03/47.98  | | | | | | | | | | | | | | | |            (64), (65), (84), (85), (86), (88), (91), (92),
% 243.03/47.98  | | | | | | | | | | | | | | | |            (99), (107), (182) are inconsistent by sub-proof
% 243.03/47.98  | | | | | | | | | | | | | | | |            #339.
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | |   (183)  all_24_21 = e21 & op2(e20, e23) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | |   (184)  all_24_21 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (29), (32), (38),
% 243.03/47.98  | | | | | | | | | | | | | | | |            (41), (42), (45), (52), (75), (76), (86), (88),
% 243.03/47.98  | | | | | | | | | | | | | | | |            (91), (92), (94), (99), (107), (184) are
% 243.03/47.98  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #765.
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | |   (185)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | |   (186)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | |   (187)  all_24_22 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | |   (188)  op2(e20, e22) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | |   (189)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 243.03/47.98  | | | | | | | | | | | | | | | | |            = e22 & op2(e23, e22) = e22)
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (28),
% 243.03/47.98  | | | | | | | | | | | | | | | | |            (32), (37), (38), (39), (42), (45), (48), (52),
% 243.03/47.98  | | | | | | | | | | | | | | | | |            (63), (64), (65), (80), (84), (85), (86), (88),
% 243.03/47.98  | | | | | | | | | | | | | | | | |            (91), (92), (99), (101), (107), (189) are
% 243.03/47.98  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #307.
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | |   (190)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 243.03/47.98  | | | | | | | | | | | | | | | | |          (all_24_14 = e22 & op2(e21, e22) = e22) |
% 243.03/47.98  | | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | |   (191)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | |   (192)  all_24_8 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (192) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | |   (193)  e23 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (21), (23), (27), (32), (38), (49),
% 243.03/47.98  | | | | | | | | | | | | | | | | | |            (52), (55), (81), (88), (90), (91), (92), (97),
% 243.03/47.98  | | | | | | | | | | | | | | | | | |            (107), (193) are inconsistent by sub-proof #810.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | |   (194)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | |   (195)  all_24_14 = e22 & op2(e21, e22) = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | |   (196)  all_24_14 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | |   (197)  op2(e21, e22) = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |   (198)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (18), (20), (23), (26), (27), (32),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            (38), (45), (50), (52), (58), (60), (62), (69),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            (82), (86), (88), (91), (92), (99), (107), (115),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |            (119), (198) are inconsistent by sub-proof #306.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |   (199)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |   (200)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |   (201)  all_24_14 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (86), (91), (92),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |            (99), (101), (107), (196), (201) are inconsistent
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #757.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |   (202)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (203)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (30),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            (32), (37), (38), (39), (42), (45), (48), (52),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (65), (84), (85), (86), (88), (91),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            (92), (99), (107), (133), (203) are inconsistent
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #305.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (204)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | |   (205)  op2(e21, e20) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_24_0 = e24 & op2(e24, e24) = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_24_0 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (27), (28), (32), (38),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (48), (52), (80), (86), (91), (92), (99),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (107), (131), (208) are inconsistent by
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #665.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_24_6 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (119), (211) are inconsistent by sub-proof
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            #778.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (32), (38), (45),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (58), (86), (88), (91), (92), (99), (107),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213) are inconsistent by sub-proof #873.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (93), (214) are inconsistent by sub-proof
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #304.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_24_1 = e24 & op2(e24, e23) = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_24_1 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (216) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (217)  e24 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (218)  e24 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (218) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_24_6 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (27), (28), (31), (32),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (58), (80), (86), (91),
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (107), (133), (219) are inconsistent
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #819.
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (222)  op2(e24, e22) = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_8_2, e24, e20, e20,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (87), (177) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_8_2 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_19, e22, e21, e20,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (95), (130) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_16_19 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_4_0, e21, e22, e20,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (10), (188) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_4_0 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_6_1, e21, e20, e21,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (67), (205) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_6_1 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_13, e22, e22, e21,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (14), (197) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_16_13 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_22, e22, e20, e22,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (24), (116) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_16_22 = e22
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_17, e21, e21, e22,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (69), (71) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_16_17 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_2, e24, e24, e22,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (25), (120) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_16_2 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_16_10, e24, e22, e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1), (222) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_16_10 = e24
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_12_2, e21, e24, e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3), (134) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_12_2 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (223), (228) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (e24 = e22)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (228) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (e23 = e22)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (226) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (235)   ~ (e24 = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (225) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (e23 = e21)
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (226) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (237)  op2(e21, e21) = all_6_0
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (232) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op2(e24, e21) = all_12_1
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (225) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (239)  op2(e22, e21) = all_4_3
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (223) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (240)  op2(e20, e24) = all_8_1
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_8_1, e24, e20,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (77), (240) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_8_1 = e20
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_6_0, e21, e21,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (237) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_6_0 = e20
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_4_3, e21, e22,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (239) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_4_3 = e21
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_12_1, e21, e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (104), (238) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_12_1 = e23
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (244) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (245)  op2(e23, e24) = all_12_0
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (242) imply:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | |   (246)  op2(e21, e20) = all_6_3
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.98  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_0) & $i(all_22_10) & $i(all_22_11)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_22_10 = all_22_11)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  op2(e23, e24) = all_22_10
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  op2(e24, e23) = all_22_11
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (42), (251), (252), (253) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_2) & $i(all_22_20) & $i(all_22_21)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_22_20 = all_22_21)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op2(e22, e24) = all_22_20
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  op2(e24, e22) = all_22_21
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (120), (222), (255), (256), (257) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #303.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_4) & $i(all_22_32) & $i(all_22_33)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)   ~ (all_22_32 = all_22_33)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op2(e21, e24) = all_22_32
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  op2(e24, e21) = all_22_33
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (104), (106), (260), (261), (262) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_6) & $i(all_22_46) & $i(all_22_47)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_22_46 = all_22_47)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  op2(e20, e24) = all_22_46
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op2(e24, e20) = all_22_47
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (57), (77), (265), (266), (267) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #301.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_8) & $i(all_22_10) & $i(all_22_11)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)   ~ (all_22_10 = all_22_11)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  op2(e23, e24) = all_22_10
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  op2(e24, e23) = all_22_11
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (42), (269), (270), (271) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_12) & $i(all_22_24) & $i(all_22_25)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_22_24 = all_22_25)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  op2(e22, e23) = all_22_24
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  op2(e23, e22) = all_22_25
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (52), (83), (275), (276), (277) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #514.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_14) & $i(all_22_36) & $i(all_22_37)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)   ~ (all_22_36 = all_22_37)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  op2(e21, e23) = all_22_36
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op2(e23, e21) = all_22_37
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (32), (279), (280), (281) are
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (32), (52), (83), (120), (222), (282)
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #300.
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/47.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_26) & $i(all_22_40) & $i(all_22_41)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)   ~ (all_22_40 = all_22_41)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  op2(e21, e22) = all_22_40
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op2(e22, e21) = all_22_41
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  op2(all_22_41, e21) = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_22_40, e22, e21,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (197), (288) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_22_40 = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_22_41, e21, e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (289) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_22_41 = e21
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (290), (292) imply:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  op2(e21, e21) = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, e22, e21, e21,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (293) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  e22 = e20
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (294) imply:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_24_2 = e20
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (22), (23), (27), (28), (32),
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (84), (86), (91),
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (99), (107), (295) are inconsistent by
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1307.
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_28) & $i(all_22_54) & $i(all_22_55)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_22_54 = all_22_55)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_22_28 = e20)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  op2(e20, e22) = all_22_54
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op2(e22, e20) = all_22_55
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  op2(all_22_55, e22) = all_22_28
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_22_55, e20, e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (116), (300) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_22_55 = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_12_0, e24, e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (33), (245) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_12_0 = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (302) imply:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  op2(e22, e22) = all_22_28
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_22_28, e22, e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (96), (304) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_22_28 = e23
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (20), (27), (32), (33), (38), (52),
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (79), (91), (92), (297), (299), (300) are
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_30) & $i(all_22_32) & $i(all_22_33)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)   ~ (all_22_32 = all_22_33)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  op2(e21, e24) = all_22_32
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  op2(e24, e21) = all_22_33
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (104), (106), (308), (309), (310) are
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #302.
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_34) & $i(all_22_36) & $i(all_22_37)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)   ~ (all_22_36 = all_22_37)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  op2(e21, e23) = all_22_36
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  op2(e23, e21) = all_22_37
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (32), (313), (314), (315) are
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_38) & $i(all_22_40) & $i(all_22_41)
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  op2(e21, e22) = all_22_40
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  op2(all_22_40, e22) = e21
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_22_40, e22, e21,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (197), (317) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_22_40 = e22
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (319) imply:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  op2(e22, e22) = e21
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, e21, e22, e22,
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (96), (320) gives:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  e23 = e21
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (321) imply:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_24_17 = e21
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (32), (38), (45),
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (86), (91), (92), (99), (107), (322) are
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.03/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47))
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_42) & $i(all_22_58) & $i(all_22_59)
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_22_42 = e20)
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  op2(e21, e20) = all_22_59
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  op2(all_22_59, e21) = all_22_42
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_22_59, e20, e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (327) gives:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_22_59 = e21
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_6_3, all_22_59, e20,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (246), (327) gives:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_22_59 = all_6_3
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (330) imply:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_6_3 = e21
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (329) imply:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  op2(e21, e21) = all_22_42
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_22_42, e21, e21,
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (332) gives:
% 243.25/48.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_22_42 = e20
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (333) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  $false
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_44) & $i(all_22_46) & $i(all_22_47)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)   ~ (all_22_46 = all_22_47)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  op2(e20, e24) = all_22_46
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  op2(e24, e20) = all_22_47
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (57), (77), (336), (337), (338) are
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #301.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_48) & $i(all_22_50) & $i(all_22_51)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)   ~ (all_22_50 = all_22_51)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  op2(e20, e23) = all_22_50
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  op2(e23, e20) = all_22_51
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (32), (341), (342), (343) are
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_52) & $i(all_22_54) & $i(all_22_55)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_22_54 = all_22_55)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  op2(e20, e22) = all_22_54
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  op2(e22, e20) = all_22_55
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (20), (27), (32), (33), (38), (52),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (79), (91), (92), (346), (347), (348) are
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_56) & $i(all_22_58) & $i(all_22_59)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)   ~ (all_22_58 = all_22_59)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  op2(e20, e21) = all_22_58
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  op2(e21, e20) = all_22_59
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  op2(all_22_58, e21) = e20
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_22_58, e21, e20,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (130), (351) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_22_58 = e22
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_22_59, e20, e21,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (205), (352) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_22_59 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_6_3, all_22_59, e20,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (246), (352) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_22_59 = all_6_3
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (356) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_6_3 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (354) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  op2(e22, e21) = e20
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, e20, e21, e22,
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (358) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  e21 = e20
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (359) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_24_0 = e20
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (18), (20), (23), (26), (27), (32),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (42), (45), (48), (52), (63),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (65), (84), (85), (86), (88), (91), (92),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (99), (107), (360) are inconsistent by sub-proof
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #339.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (32), (64), (85), (361) are
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #308.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | |   (362)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (86), (91), (92),
% 243.25/48.01  | | | | | | | | | | | | | | | | | | |            (99), (101), (107), (187), (362) are inconsistent
% 243.25/48.01  | | | | | | | | | | | | | | | | | | |            by sub-proof #298.
% 243.25/48.01  | | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | |   (363)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 243.25/48.01  | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.25/48.01  | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 243.25/48.01  | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | Case 1:
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (364)  all_24_23 = e21 & op2(e20, e21) = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (365)  all_24_23 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (26), (27), (28), (32),
% 243.25/48.01  | | | | | | | | | | | | | | | | |            (38), (45), (48), (52), (80), (86), (91), (92),
% 243.25/48.01  | | | | | | | | | | | | | | | | |            (99), (101), (107), (129), (365) are inconsistent
% 243.25/48.01  | | | | | | | | | | | | | | | | |            by sub-proof #731.
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (366)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (367)  all_24_24 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (367) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (368)  e24 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | SIMP: (368) implies:
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (369)  e24 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (369) imply:
% 243.25/48.01  | | | | | | | | | | | | | | | | |   (370)  all_24_6 = e21
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (32), (45), (50), (62), (69), (82),
% 243.25/48.01  | | | | | | | | | | | | | | | | |            (86), (91), (115), (370) are inconsistent by
% 243.25/48.01  | | | | | | | | | | | | | | | | |            sub-proof #801.
% 243.25/48.01  | | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | |   (371)  all_24_2 = e21 & op2(e23, e24) = e21
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | ALPHA: (371) implies:
% 243.25/48.01  | | | | | | | | | | |   (372)  all_24_2 = e21
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (23), (27), (28), (32), (38),
% 243.25/48.01  | | | | | | | | | | |            (45), (48), (52), (80), (86), (91), (92), (99),
% 243.25/48.01  | | | | | | | | | | |            (101), (107), (372) are inconsistent by sub-proof
% 243.25/48.01  | | | | | | | | | | |            #1298.
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | |   (373)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12
% 243.25/48.01  | | | | | | | | | |            = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 243.25/48.01  | | | | | | | | | |            op2(e20, e24) = e21)
% 243.25/48.01  | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | BETA: splitting (373) gives:
% 243.25/48.01  | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | Case 1:
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | |   (374)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | ALPHA: (374) implies:
% 243.25/48.01  | | | | | | | | | | |   (375)  all_24_6 = e21
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | REF_CLOSE: (2), (17), (32), (45), (50), (62), (69), (82),
% 243.25/48.01  | | | | | | | | | | |            (86), (91), (115), (375) are inconsistent by
% 243.25/48.01  | | | | | | | | | | |            sub-proof #801.
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | |   (376)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.25/48.01  | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | BETA: splitting (376) gives:
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | Case 1:
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | |   (377)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | REF_CLOSE: (18), (20), (23), (26), (27), (32), (38), (45),
% 243.25/48.01  | | | | | | | | | | | |            (52), (58), (86), (88), (91), (92), (99), (107),
% 243.25/48.01  | | | | | | | | | | | |            (377) are inconsistent by sub-proof #747.
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | Case 2:
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | |   (378)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | ALPHA: (378) implies:
% 243.25/48.01  | | | | | | | | | | | |   (379)  all_24_20 = e21
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | COMBINE_EQS: (93), (379) imply:
% 243.25/48.01  | | | | | | | | | | | |   (380)  e21 = e20
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | COMBINE_EQS: (51), (380) imply:
% 243.25/48.01  | | | | | | | | | | | |   (381)  all_24_11 = e20
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28),
% 243.25/48.01  | | | | | | | | | | | |            (30), (32), (33), (38), (39), (45), (47), (48),
% 243.25/48.01  | | | | | | | | | | | |            (52), (61), (80), (84), (86), (88), (91), (92),
% 243.25/48.01  | | | | | | | | | | | |            (99), (101), (107), (381) are inconsistent by
% 243.25/48.01  | | | | | | | | | | | |            sub-proof #782.
% 243.25/48.01  | | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | | 
% 243.25/48.01  | | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | | 
% 243.25/48.01  | | | | | | | | End of split
% 243.25/48.01  | | | | | | | | 
% 243.25/48.01  | | | | | | | End of split
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | End of split
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | Case 2:
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | |   (382)  all_24_7 = e24 & op2(e22, e23) = e24
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | | ALPHA: (382) implies:
% 243.25/48.01  | | | | | |   (383)  all_24_7 = e24
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28), (32),
% 243.25/48.01  | | | | | |            (35), (38), (42), (45), (48), (52), (60), (84), (86),
% 243.25/48.01  | | | | | |            (88), (91), (92), (99), (103), (107), (383) are
% 243.25/48.01  | | | | | |            inconsistent by sub-proof #831.
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | End of split
% 243.25/48.01  | | | | | 
% 243.25/48.01  | | | | Case 2:
% 243.25/48.01  | | | | | 
% 243.25/48.01  | | | | |   (384)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.25/48.01  | | | | |            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) =
% 243.25/48.01  | | | | |            e24)
% 243.25/48.01  | | | | | 
% 243.25/48.01  | | | | | BETA: splitting (384) gives:
% 243.25/48.01  | | | | | 
% 243.25/48.01  | | | | | Case 1:
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | |   (385)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | | REF_CLOSE: (17), (18), (20), (22), (23), (26), (27), (28), (32),
% 243.25/48.01  | | | | | |            (35), (38), (42), (45), (48), (52), (60), (62), (63),
% 243.25/48.01  | | | | | |            (72), (84), (86), (88), (91), (92), (99), (103), (105),
% 243.25/48.01  | | | | | |            (107), (385) are inconsistent by sub-proof #841.
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | Case 2:
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | |   (386)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 = e24
% 243.25/48.01  | | | | | |            & op2(e22, e20) = e24)
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | | BETA: splitting (386) gives:
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | | Case 1:
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | |   (387)  all_24_11 = e24 & op2(e22, e21) = e24
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | | REF_CLOSE: (32), (50), (69), (387) are inconsistent by sub-proof
% 243.25/48.01  | | | | | | |            #829.
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | Case 2:
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | |   (388)  all_24_18 = e24 & op2(e22, e20) = e24
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | | REF_CLOSE: (86), (115), (388) are inconsistent by sub-proof #802.
% 243.25/48.01  | | | | | | | 
% 243.25/48.01  | | | | | | End of split
% 243.25/48.01  | | | | | | 
% 243.25/48.01  | | | | | End of split
% 243.25/48.01  | | | | | 
% 243.25/48.01  | | | | End of split
% 243.25/48.01  | | | | 
% 243.25/48.01  | | | End of split
% 243.25/48.01  | | | 
% 243.25/48.01  | | End of split
% 243.25/48.01  | | 
% 243.25/48.01  | End of split
% 243.25/48.01  | 
% 243.25/48.01  End of proof
% 243.25/48.01  
% 243.25/48.01  Sub-proof #298 shows that the following formulas are inconsistent:
% 243.25/48.01  ----------------------------------------------------------------
% 243.25/48.01    (1)   ~ (e24 = e20)
% 243.25/48.01    (2)   ~ (e23 = e21)
% 243.25/48.01    (3)  op2(e23, e21) = e24
% 243.25/48.01    (4)  op2(e23, e23) = e21
% 243.25/48.01    (5)  all_24_2 = e22
% 243.25/48.01    (6)   ~ (e23 = e22)
% 243.25/48.01    (7)   ~ (e22 = e20)
% 243.25/48.01    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.01    (9)   ~ (e23 = e20)
% 243.25/48.01    (10)   ~ (e24 = e21)
% 243.25/48.01    (11)   ~ (e22 = e21)
% 243.25/48.01    (12)  op2(e23, e22) = e20
% 243.25/48.01    (13)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.25/48.01    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.01    (15)   ~ (e24 = e22)
% 243.25/48.01    (16)   ~ (e24 = e23)
% 243.25/48.01    (17)  op2(e23, e21) = all_10_1
% 243.25/48.01    (18)  all_24_22 = e21
% 243.25/48.01    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.01    (20)  all_24_5 = e20
% 243.25/48.01    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.01  
% 243.25/48.01  Begin of proof
% 243.25/48.01  | 
% 243.25/48.01  | ALPHA: (13) implies:
% 243.25/48.01  |   (22)  all_24_22 = e22
% 243.25/48.01  | 
% 243.25/48.01  | COMBINE_EQS: (18), (22) imply:
% 243.25/48.01  |   (23)  e22 = e21
% 243.25/48.01  | 
% 243.25/48.01  | COMBINE_EQS: (5), (23) imply:
% 243.25/48.01  |   (24)  all_24_2 = e21
% 243.25/48.01  | 
% 243.25/48.01  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 243.25/48.01  |            (15), (16), (17), (19), (20), (21), (24) are inconsistent by
% 243.25/48.01  |            sub-proof #1298.
% 243.25/48.01  | 
% 243.25/48.01  End of proof
% 243.25/48.01  
% 243.25/48.01  Sub-proof #299 shows that the following formulas are inconsistent:
% 243.25/48.01  ----------------------------------------------------------------
% 243.25/48.01    (1)  op2(e22, unit2) = e22
% 243.25/48.01    (2)  op2(e23, unit2) = e23
% 243.25/48.01    (3)  op2(e23, e21) = e24
% 243.25/48.01    (4)   ~ (e23 = e22)
% 243.25/48.02    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (6)  op2(e23, e24) = e22
% 243.25/48.02    (7)   ~ (e23 = e20)
% 243.25/48.02    (8)   ~ (all_22_54 = all_22_55)
% 243.25/48.02    (9)  op2(e22, e20) = all_22_55
% 243.25/48.02    (10)  op2(e20, e22) = all_22_54
% 243.25/48.02    (11)  op2(e23, e22) = e20
% 243.25/48.02    (12)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.25/48.02    (13)  op2(unit2, e22) = e22
% 243.25/48.02    (14)   ~ (e24 = e23)
% 243.25/48.02    (15)  op2(e23, e21) = all_10_1
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | BETA: splitting (12) gives:
% 243.25/48.02  | 
% 243.25/48.02  | Case 1:
% 243.25/48.02  | | 
% 243.25/48.02  | |   (16)  unit2 = e24
% 243.25/48.02  | | 
% 243.25/48.02  | | REDUCE: (2), (16) imply:
% 243.25/48.02  | |   (17)  op2(e23, e24) = e23
% 243.25/48.02  | | 
% 243.25/48.02  | | REF_CLOSE: (4), (5), (6), (17) are inconsistent by sub-proof #965.
% 243.25/48.02  | | 
% 243.25/48.02  | Case 2:
% 243.25/48.02  | | 
% 243.25/48.02  | |   (18)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.25/48.02  | | 
% 243.25/48.02  | | BETA: splitting (18) gives:
% 243.25/48.02  | | 
% 243.25/48.02  | | Case 1:
% 243.25/48.02  | | | 
% 243.25/48.02  | | |   (19)  unit2 = e22
% 243.25/48.02  | | | 
% 243.25/48.02  | | | REDUCE: (2), (19) imply:
% 243.25/48.02  | | |   (20)  op2(e23, e22) = e23
% 243.25/48.02  | | | 
% 243.25/48.02  | | | REF_CLOSE: (5), (7), (11), (20) are inconsistent by sub-proof #1326.
% 243.25/48.02  | | | 
% 243.25/48.02  | | Case 2:
% 243.25/48.02  | | | 
% 243.25/48.02  | | |   (21)  unit2 = e21 | unit2 = e20
% 243.25/48.02  | | | 
% 243.25/48.02  | | | BETA: splitting (21) gives:
% 243.25/48.02  | | | 
% 243.25/48.02  | | | Case 1:
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | |   (22)  unit2 = e21
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | | REDUCE: (2), (22) imply:
% 243.25/48.02  | | | |   (23)  op2(e23, e21) = e23
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | | REF_CLOSE: (3), (5), (14), (15), (23) are inconsistent by sub-proof
% 243.25/48.02  | | | |            #957.
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | Case 2:
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | |   (24)  unit2 = e20
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | | REDUCE: (13), (24) imply:
% 243.25/48.02  | | | |   (25)  op2(e20, e22) = e22
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | | REDUCE: (1), (24) imply:
% 243.25/48.02  | | | |   (26)  op2(e22, e20) = e22
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | | REF_CLOSE: (5), (8), (9), (10), (25), (26) are inconsistent by sub-proof
% 243.25/48.02  | | | |            #609.
% 243.25/48.02  | | | | 
% 243.25/48.02  | | | End of split
% 243.25/48.02  | | | 
% 243.25/48.02  | | End of split
% 243.25/48.02  | | 
% 243.25/48.02  | End of split
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #300 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)  op2(e23, e20) = e23
% 243.25/48.02    (2)  op2(e20, e23) = e23
% 243.25/48.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (4)  op2(e23, e22) = e20
% 243.25/48.02    (5)  op2(e22, e24) = e24
% 243.25/48.02    (6)  (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~ (all_22_50 = all_22_51) &
% 243.25/48.02           op2(all_22_51, e23) = all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 243.25/48.02             e20) = all_22_51 & op2(e20, e23) = all_22_50 & $i(all_22_16) &
% 243.25/48.02           $i(all_22_50) & $i(all_22_51)) | (all_22_19 = e22 &  ~ (all_22_18 =
% 243.25/48.02             e24) &  ~ (all_22_20 = all_22_21) & op2(all_22_20, e24) = e22 &
% 243.25/48.02           op2(all_22_20, e22) = all_22_18 & op2(e24, e22) = all_22_21 & op2(e22,
% 243.25/48.02             e24) = all_22_20 & $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 243.25/48.02         (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~ (all_22_24 = all_22_25) &
% 243.25/48.02           op2(all_22_24, e23) = e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 243.25/48.02             e22) = all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_22) &
% 243.25/48.02           $i(all_22_24) & $i(all_22_25))
% 243.25/48.02    (7)  op2(e22, e23) = e20
% 243.25/48.02    (8)  op2(e24, e22) = e24
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | BETA: splitting (6) gives:
% 243.25/48.02  | 
% 243.25/48.02  | Case 1:
% 243.25/48.02  | | 
% 243.25/48.02  | |   (9)  all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~ (all_22_50 = all_22_51) &
% 243.25/48.02  | |        op2(all_22_51, e23) = all_22_16 & op2(all_22_51, e20) = e23 &
% 243.25/48.02  | |        op2(e23, e20) = all_22_51 & op2(e20, e23) = all_22_50 & $i(all_22_16)
% 243.25/48.02  | |        & $i(all_22_50) & $i(all_22_51)
% 243.25/48.02  | | 
% 243.25/48.02  | | ALPHA: (9) implies:
% 243.25/48.02  | |   (10)   ~ (all_22_50 = all_22_51)
% 243.25/48.02  | |   (11)  op2(e20, e23) = all_22_50
% 243.25/48.02  | |   (12)  op2(e23, e20) = all_22_51
% 243.25/48.02  | | 
% 243.25/48.02  | | REF_CLOSE: (1), (2), (3), (10), (11), (12) are inconsistent by sub-proof
% 243.25/48.02  | |            #610.
% 243.25/48.02  | | 
% 243.25/48.02  | Case 2:
% 243.25/48.02  | | 
% 243.25/48.02  | |   (13)  (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21)
% 243.25/48.02  | |           & op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 &
% 243.25/48.02  | |           op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 243.25/48.02  | |           $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22
% 243.25/48.02  | |           &  ~ (all_22_22 = e23) &  ~ (all_22_24 = all_22_25) &
% 243.25/48.02  | |           op2(all_22_24, e23) = e22 & op2(all_22_24, e22) = all_22_22 &
% 243.25/48.02  | |           op2(e23, e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 243.25/48.02  | |           $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 243.25/48.02  | | 
% 243.25/48.02  | | BETA: splitting (13) gives:
% 243.25/48.02  | | 
% 243.25/48.02  | | Case 1:
% 243.25/48.02  | | | 
% 243.25/48.02  | | |   (14)  all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 =
% 243.25/48.02  | | |           all_22_21) & op2(all_22_20, e24) = e22 & op2(all_22_20, e22) =
% 243.25/48.02  | | |         all_22_18 & op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20
% 243.25/48.02  | | |         & $i(all_22_18) & $i(all_22_20) & $i(all_22_21)
% 243.25/48.02  | | | 
% 243.25/48.02  | | | ALPHA: (14) implies:
% 243.25/48.02  | | |   (15)   ~ (all_22_20 = all_22_21)
% 243.25/48.02  | | |   (16)  op2(e22, e24) = all_22_20
% 243.25/48.02  | | |   (17)  op2(e24, e22) = all_22_21
% 243.25/48.02  | | | 
% 243.25/48.02  | | | REF_CLOSE: (3), (5), (8), (15), (16), (17) are inconsistent by sub-proof
% 243.25/48.02  | | |            #303.
% 243.25/48.02  | | | 
% 243.25/48.02  | | Case 2:
% 243.25/48.02  | | | 
% 243.25/48.02  | | |   (18)  all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~ (all_22_24 =
% 243.25/48.02  | | |           all_22_25) & op2(all_22_24, e23) = e22 & op2(all_22_24, e22) =
% 243.25/48.02  | | |         all_22_22 & op2(e23, e22) = all_22_25 & op2(e22, e23) = all_22_24
% 243.25/48.02  | | |         & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)
% 243.25/48.02  | | | 
% 243.25/48.02  | | | ALPHA: (18) implies:
% 243.25/48.02  | | |   (19)   ~ (all_22_24 = all_22_25)
% 243.25/48.02  | | |   (20)  op2(e22, e23) = all_22_24
% 243.25/48.02  | | |   (21)  op2(e23, e22) = all_22_25
% 243.25/48.02  | | | 
% 243.25/48.02  | | | REF_CLOSE: (3), (4), (7), (19), (20), (21) are inconsistent by sub-proof
% 243.25/48.02  | | |            #514.
% 243.25/48.02  | | | 
% 243.25/48.02  | | End of split
% 243.25/48.02  | | 
% 243.25/48.02  | End of split
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #301 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)  op2(e20, e24) = all_22_46
% 243.25/48.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (3)   ~ (all_22_46 = all_22_47)
% 243.25/48.02    (4)  op2(e24, e20) = e20
% 243.25/48.02    (5)  op2(e20, e24) = e20
% 243.25/48.02    (6)  op2(e24, e20) = all_22_47
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (2) with e20, all_22_46, e24, e20, simplifying with
% 243.25/48.02  |              (1), (5) gives:
% 243.25/48.02  |   (7)  all_22_46 = e20
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (2) with e20, all_22_47, e20, e24, simplifying with
% 243.25/48.02  |              (4), (6) gives:
% 243.25/48.02  |   (8)  all_22_47 = e20
% 243.25/48.02  | 
% 243.25/48.02  | REDUCE: (3), (7), (8) imply:
% 243.25/48.02  |   (9)  $false
% 243.25/48.02  | 
% 243.25/48.02  | CLOSE: (9) is inconsistent.
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #302 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)  op2(e21, e24) = all_22_32
% 243.25/48.02    (2)   ~ (all_22_32 = all_22_33)
% 243.25/48.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (4)  op2(e24, e21) = all_22_33
% 243.25/48.02    (5)  op2(e24, e21) = e23
% 243.25/48.02    (6)  op2(e21, e24) = e23
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (3) with e23, all_22_32, e24, e21, simplifying with
% 243.25/48.02  |              (1), (6) gives:
% 243.25/48.02  |   (7)  all_22_32 = e23
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (3) with e23, all_22_33, e21, e24, simplifying with
% 243.25/48.02  |              (4), (5) gives:
% 243.25/48.02  |   (8)  all_22_33 = e23
% 243.25/48.02  | 
% 243.25/48.02  | REDUCE: (2), (7), (8) imply:
% 243.25/48.02  |   (9)  $false
% 243.25/48.02  | 
% 243.25/48.02  | CLOSE: (9) is inconsistent.
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #303 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (2)  op2(e22, e24) = e24
% 243.25/48.02    (3)  op2(e24, e22) = all_22_21
% 243.25/48.02    (4)  op2(e22, e24) = all_22_20
% 243.25/48.02    (5)  op2(e24, e22) = e24
% 243.25/48.02    (6)   ~ (all_22_20 = all_22_21)
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (1) with e24, all_22_20, e24, e22, simplifying with
% 243.25/48.02  |              (2), (4) gives:
% 243.25/48.02  |   (7)  all_22_20 = e24
% 243.25/48.02  | 
% 243.25/48.02  | GROUND_INST: instantiating (1) with e24, all_22_21, e22, e24, simplifying with
% 243.25/48.02  |              (3), (5) gives:
% 243.25/48.02  |   (8)  all_22_21 = e24
% 243.25/48.02  | 
% 243.25/48.02  | REDUCE: (6), (7), (8) imply:
% 243.25/48.02  |   (9)  $false
% 243.25/48.02  | 
% 243.25/48.02  | CLOSE: (9) is inconsistent.
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #304 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.25/48.02    (2)  all_24_20 = e20
% 243.25/48.02    (3)   ~ (e21 = e20)
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | ALPHA: (1) implies:
% 243.25/48.02  |   (4)  all_24_20 = e21
% 243.25/48.02  | 
% 243.25/48.02  | COMBINE_EQS: (2), (4) imply:
% 243.25/48.02  |   (5)  e21 = e20
% 243.25/48.02  | 
% 243.25/48.02  | SIMP: (5) implies:
% 243.25/48.02  |   (6)  e21 = e20
% 243.25/48.02  | 
% 243.25/48.02  | REDUCE: (3), (6) imply:
% 243.25/48.02  |   (7)  $false
% 243.25/48.02  | 
% 243.25/48.02  | CLOSE: (7) is inconsistent.
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #305 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)   ~ (all_16_15 = e24)
% 243.25/48.02    (2)   ~ (e24 = e20)
% 243.25/48.02    (3)   ~ (e23 = e21)
% 243.25/48.02    (4)  op2(e23, e21) = e24
% 243.25/48.02    (5)  op2(e23, e23) = e21
% 243.25/48.02    (6)  all_24_2 = e22
% 243.25/48.02    (7)   ~ (e23 = e22)
% 243.25/48.02    (8)  all_24_15 = e20
% 243.25/48.02    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (10)  all_24_0 = e21
% 243.25/48.02    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.25/48.02            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.25/48.02            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.25/48.02    (12)   ~ (e23 = e20)
% 243.25/48.02    (13)  all_24_9 = e23
% 243.25/48.02    (14)  op2(e24, e23) = e22
% 243.25/48.02    (15)   ~ (e24 = e21)
% 243.25/48.02    (16)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.25/48.02    (17)   ~ (e22 = e21)
% 243.25/48.02    (18)  op2(e23, e22) = e20
% 243.25/48.02    (19)  all_24_1 = e22
% 243.25/48.02    (20)  all_24_16 = e20
% 243.25/48.02    (21)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.25/48.02            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.25/48.02            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.25/48.02    (22)   ~ (e21 = e20)
% 243.25/48.02    (23)  op2(e24, e21) = all_16_15
% 243.25/48.02    (24)   ~ (e24 = e22)
% 243.25/48.02    (25)  all_24_17 = e23
% 243.25/48.02    (26)   ~ (e24 = e23)
% 243.25/48.02    (27)  op2(e23, e21) = all_10_1
% 243.25/48.02    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.02    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.02  
% 243.25/48.02  Begin of proof
% 243.25/48.02  | 
% 243.25/48.02  | ALPHA: (16) implies:
% 243.25/48.02  |   (30)  all_24_15 = e21
% 243.25/48.02  | 
% 243.25/48.02  | COMBINE_EQS: (8), (30) imply:
% 243.25/48.02  |   (31)  e21 = e20
% 243.25/48.02  | 
% 243.25/48.02  | COMBINE_EQS: (10), (31) imply:
% 243.25/48.02  |   (32)  all_24_0 = e20
% 243.25/48.02  | 
% 243.25/48.02  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 243.25/48.02  |            (15), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 243.25/48.02  |            (27), (28), (29), (32) are inconsistent by sub-proof #339.
% 243.25/48.02  | 
% 243.25/48.02  End of proof
% 243.25/48.02  
% 243.25/48.02  Sub-proof #306 shows that the following formulas are inconsistent:
% 243.25/48.02  ----------------------------------------------------------------
% 243.25/48.02    (1)  all_24_7 = e20
% 243.25/48.02    (2)   ~ (e24 = e20)
% 243.25/48.02    (3)   ~ (e23 = e21)
% 243.25/48.02    (4)  op2(e23, e21) = e24
% 243.25/48.02    (5)  op2(e23, e23) = e21
% 243.25/48.02    (6)  all_24_2 = e22
% 243.25/48.02    (7)   ~ (e23 = e22)
% 243.25/48.02    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.02    (9)   ~ (e23 = e20)
% 243.25/48.02    (10)   ~ (e24 = e21)
% 243.25/48.02    (11)   ~ (all_16_17 = e24)
% 243.25/48.02    (12)  op2(e23, e22) = e20
% 243.25/48.02    (13)  all_24_12 = e23
% 243.25/48.02    (14)  all_24_13 = e24
% 243.25/48.02    (15)  all_24_8 = e23
% 243.25/48.02    (16)  all_24_6 = e24
% 243.25/48.02    (17)  op2(e22, e21) = all_16_17
% 243.25/48.02    (18)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.25/48.02            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.25/48.02            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.25/48.03    (19)   ~ (e24 = e22)
% 243.25/48.03    (20)  all_24_17 = e23
% 243.25/48.03    (21)   ~ (e24 = e23)
% 243.25/48.03    (22)  all_24_18 = e22
% 243.25/48.03    (23)  op2(e23, e21) = all_10_1
% 243.25/48.03    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.03    (25)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.25/48.03              e23) = e21)
% 243.25/48.03    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.03  
% 243.25/48.03  Begin of proof
% 243.25/48.03  | 
% 243.25/48.03  | BETA: splitting (25) gives:
% 243.25/48.03  | 
% 243.25/48.03  | Case 1:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (27)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (19), (20),
% 243.25/48.03  | |            (21), (23), (24), (26), (27) are inconsistent by sub-proof #873.
% 243.25/48.03  | | 
% 243.25/48.03  | Case 2:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (28)  all_24_13 = e21 & op2(e21, e23) = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | ALPHA: (28) implies:
% 243.25/48.03  | |   (29)  all_24_13 = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | COMBINE_EQS: (14), (29) imply:
% 243.25/48.03  | |   (30)  e24 = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | SIMP: (30) implies:
% 243.25/48.03  | |   (31)  e24 = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | COMBINE_EQS: (16), (31) imply:
% 243.25/48.03  | |   (32)  all_24_6 = e21
% 243.25/48.03  | | 
% 243.25/48.03  | | REF_CLOSE: (1), (2), (8), (10), (11), (15), (17), (18), (19), (21), (22),
% 243.25/48.03  | |            (32) are inconsistent by sub-proof #801.
% 243.25/48.03  | | 
% 243.25/48.03  | End of split
% 243.25/48.03  | 
% 243.25/48.03  End of proof
% 243.25/48.03  
% 243.25/48.03  Sub-proof #307 shows that the following formulas are inconsistent:
% 243.25/48.03  ----------------------------------------------------------------
% 243.25/48.03    (1)   ~ (all_16_15 = e24)
% 243.25/48.03    (2)   ~ (e24 = e20)
% 243.25/48.03    (3)   ~ (e23 = e21)
% 243.25/48.03    (4)  op2(e23, e21) = e24
% 243.25/48.03    (5)  op2(e23, e23) = e21
% 243.25/48.03    (6)  all_24_2 = e22
% 243.25/48.03    (7)   ~ (e23 = e22)
% 243.25/48.03    (8)   ~ (e22 = e20)
% 243.25/48.03    (9)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.25/48.03           = e22)
% 243.25/48.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.03            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.03    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.25/48.03            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.25/48.03            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.25/48.03    (12)   ~ (e23 = e20)
% 243.25/48.03    (13)  all_24_9 = e23
% 243.25/48.03    (14)  op2(e24, e23) = e22
% 243.25/48.03    (15)   ~ (e24 = e21)
% 243.25/48.03    (16)   ~ (e22 = e21)
% 243.25/48.03    (17)  op2(e23, e22) = e20
% 243.25/48.03    (18)  all_24_1 = e22
% 243.25/48.03    (19)  all_24_16 = e20
% 243.25/48.03    (20)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.25/48.03            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.25/48.03            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.25/48.03    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.03            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.03            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.03    (22)   ~ (e21 = e20)
% 243.25/48.03    (23)  op2(e24, e21) = all_16_15
% 243.25/48.03    (24)   ~ (e24 = e22)
% 243.25/48.03    (25)  all_24_17 = e23
% 243.25/48.03    (26)   ~ (e24 = e23)
% 243.25/48.03    (27)  op2(e23, e21) = all_10_1
% 243.25/48.03    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.03    (29)  all_24_5 = e20
% 243.25/48.03    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.03  
% 243.25/48.03  Begin of proof
% 243.25/48.03  | 
% 243.25/48.03  | BETA: splitting (9) gives:
% 243.25/48.03  | 
% 243.25/48.03  | Case 1:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (31)  all_24_4 = e22 & op2(e24, e22) = e22
% 243.25/48.03  | | 
% 243.25/48.03  | | ALPHA: (31) implies:
% 243.25/48.03  | |   (32)  all_24_4 = e22
% 243.25/48.03  | | 
% 243.25/48.03  | | BETA: splitting (20) gives:
% 243.25/48.03  | | 
% 243.25/48.03  | | Case 1:
% 243.25/48.03  | | | 
% 243.25/48.03  | | |   (33)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 243.25/48.03  | | |           op2(e24, e23) = e24)
% 243.25/48.03  | | | 
% 243.25/48.03  | | | BETA: splitting (33) gives:
% 243.25/48.03  | | | 
% 243.25/48.03  | | | Case 1:
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | |   (34)  all_24_0 = e24 & op2(e24, e24) = e24
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | ALPHA: (34) implies:
% 243.25/48.03  | | | |   (35)  all_24_0 = e24
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | BETA: splitting (11) gives:
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | Case 1:
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | |   (36)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 &
% 243.25/48.03  | | | | |           op2(e24, e23) = e21)
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | | BETA: splitting (36) gives:
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | | Case 1:
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | |   (37)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | | REF_CLOSE: (15), (35), (37) are inconsistent by sub-proof #666.
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | Case 2:
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | |   (38)  all_24_1 = e21 & op2(e24, e23) = e21
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | | REF_CLOSE: (10), (14), (16), (38) are inconsistent by sub-proof
% 243.25/48.03  | | | | | |            #866.
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | End of split
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | Case 2:
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | |   (39)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.25/48.03  | | | | |           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) =
% 243.25/48.03  | | | | |           e21)
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | | BETA: splitting (39) gives:
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | | Case 1:
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | |   (40)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (15),
% 243.25/48.03  | | | | | |            (16), (17), (21), (24), (26), (27), (28), (29), (30),
% 243.25/48.03  | | | | | |            (32), (40) are inconsistent by sub-proof #865.
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | Case 2:
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | |   (41)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 243.25/48.03  | | | | | |           op2(e24, e20) = e21)
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | | BETA: splitting (41) gives:
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | | Case 1:
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | |   (42)  all_24_9 = e21 & op2(e24, e21) = e21
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (12), (13), (15), (17),
% 243.25/48.03  | | | | | | |            (24), (25), (26), (27), (28), (30), (42) are
% 243.25/48.03  | | | | | | |            inconsistent by sub-proof #864.
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | Case 2:
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | |   (43)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | | REF_CLOSE: (19), (22), (43) are inconsistent by sub-proof #642.
% 243.25/48.03  | | | | | | | 
% 243.25/48.03  | | | | | | End of split
% 243.25/48.03  | | | | | | 
% 243.25/48.03  | | | | | End of split
% 243.25/48.03  | | | | | 
% 243.25/48.03  | | | | End of split
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | Case 2:
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | |   (44)  all_24_1 = e24 & op2(e24, e23) = e24
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | REF_CLOSE: (18), (24), (44) are inconsistent by sub-proof #870.
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | End of split
% 243.25/48.03  | | | 
% 243.25/48.03  | | Case 2:
% 243.25/48.03  | | | 
% 243.25/48.03  | | |   (45)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.25/48.03  | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.25/48.03  | | | 
% 243.25/48.03  | | | BETA: splitting (45) gives:
% 243.25/48.03  | | | 
% 243.25/48.03  | | | Case 1:
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | |   (46)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | REF_CLOSE: (24), (32), (46) are inconsistent by sub-proof #309.
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | Case 2:
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | |   (47)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 243.25/48.03  | | | |           op2(e24, e20) = e24)
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | | REF_CLOSE: (1), (2), (10), (19), (23), (47) are inconsistent by
% 243.25/48.03  | | | |            sub-proof #308.
% 243.25/48.03  | | | | 
% 243.25/48.03  | | | End of split
% 243.25/48.03  | | | 
% 243.25/48.03  | | End of split
% 243.25/48.03  | | 
% 243.25/48.03  | Case 2:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (48)  all_24_5 = e22 & op2(e23, e22) = e22
% 243.25/48.03  | | 
% 243.25/48.03  | | REF_CLOSE: (8), (10), (17), (48) are inconsistent by sub-proof #1330.
% 243.25/48.03  | | 
% 243.25/48.03  | End of split
% 243.25/48.03  | 
% 243.25/48.03  End of proof
% 243.25/48.03  
% 243.25/48.03  Sub-proof #308 shows that the following formulas are inconsistent:
% 243.25/48.03  ----------------------------------------------------------------
% 243.25/48.03    (1)   ~ (all_16_15 = e24)
% 243.25/48.03    (2)   ~ (e24 = e20)
% 243.25/48.03    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.03    (4)  all_24_16 = e20
% 243.25/48.03    (5)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20)
% 243.25/48.03           = e24)
% 243.25/48.03    (6)  op2(e24, e21) = all_16_15
% 243.25/48.03  
% 243.25/48.03  Begin of proof
% 243.25/48.03  | 
% 243.25/48.03  | BETA: splitting (5) gives:
% 243.25/48.03  | 
% 243.25/48.03  | Case 1:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (7)  all_24_9 = e24 & op2(e24, e21) = e24
% 243.25/48.03  | | 
% 243.25/48.03  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #862.
% 243.25/48.03  | | 
% 243.25/48.03  | Case 2:
% 243.25/48.03  | | 
% 243.25/48.03  | |   (8)  all_24_16 = e24 & op2(e24, e20) = e24
% 243.25/48.03  | | 
% 243.25/48.03  | | ALPHA: (8) implies:
% 243.25/48.03  | |   (9)  all_24_16 = e24
% 243.25/48.03  | | 
% 243.25/48.03  | | COMBINE_EQS: (4), (9) imply:
% 243.25/48.03  | |   (10)  e24 = e20
% 243.25/48.03  | | 
% 243.25/48.03  | | REDUCE: (2), (10) imply:
% 243.25/48.03  | |   (11)  $false
% 243.25/48.03  | | 
% 243.25/48.03  | | CLOSE: (11) is inconsistent.
% 243.25/48.03  | | 
% 243.25/48.03  | End of split
% 243.25/48.03  | 
% 243.25/48.03  End of proof
% 243.25/48.03  
% 243.25/48.03  Sub-proof #309 shows that the following formulas are inconsistent:
% 243.25/48.03  ----------------------------------------------------------------
% 243.25/48.03    (1)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.25/48.03    (2)  all_24_4 = e22
% 243.25/48.03    (3)   ~ (e24 = e22)
% 243.25/48.03  
% 243.25/48.03  Begin of proof
% 243.25/48.03  | 
% 243.25/48.03  | ALPHA: (1) implies:
% 243.25/48.03  |   (4)  all_24_4 = e24
% 243.25/48.03  | 
% 243.25/48.03  | COMBINE_EQS: (2), (4) imply:
% 243.25/48.03  |   (5)  e24 = e22
% 243.25/48.03  | 
% 243.25/48.03  | REDUCE: (3), (5) imply:
% 243.25/48.03  |   (6)  $false
% 243.25/48.03  | 
% 243.25/48.03  | CLOSE: (6) is inconsistent.
% 243.25/48.03  | 
% 243.25/48.03  End of proof
% 243.25/48.03  
% 243.25/48.03  Sub-proof #310 shows that the following formulas are inconsistent:
% 243.25/48.03  ----------------------------------------------------------------
% 243.25/48.03    (1)  all_24_7 = e20
% 243.25/48.03    (2)   ~ (e24 = e20)
% 243.25/48.03    (3)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.25/48.03    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.03    (5)  all_24_19 = e24
% 243.25/48.03    (6)   ~ (e24 = e21)
% 243.25/48.03    (7)   ~ (all_16_17 = e24)
% 243.25/48.03    (8)  all_24_8 = e23
% 243.25/48.03    (9)  all_24_6 = e24
% 243.25/48.03    (10)  op2(e22, e21) = all_16_17
% 243.25/48.03    (11)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.25/48.03            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.25/48.03            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.25/48.03    (12)   ~ (e24 = e22)
% 243.25/48.03    (13)   ~ (e24 = e23)
% 243.25/48.03    (14)  all_24_18 = e22
% 243.25/48.03  
% 243.25/48.03  Begin of proof
% 243.25/48.03  | 
% 243.25/48.03  | ALPHA: (3) implies:
% 243.25/48.03  |   (15)  all_24_19 = e21
% 243.25/48.03  | 
% 243.25/48.03  | COMBINE_EQS: (5), (15) imply:
% 243.25/48.03  |   (16)  e24 = e21
% 243.25/48.03  | 
% 243.25/48.03  | SIMP: (16) implies:
% 243.25/48.03  |   (17)  e24 = e21
% 243.25/48.03  | 
% 243.25/48.03  | COMBINE_EQS: (9), (17) imply:
% 243.25/48.03  |   (18)  all_24_6 = e21
% 243.25/48.03  | 
% 243.25/48.03  | REF_CLOSE: (1), (2), (4), (6), (7), (8), (10), (11), (12), (13), (14), (18)
% 243.25/48.03  |            are inconsistent by sub-proof #801.
% 243.25/48.03  | 
% 243.25/48.03  End of proof
% 243.25/48.03  
% 243.25/48.03  Sub-proof #311 shows that the following formulas are inconsistent:
% 243.25/48.03  ----------------------------------------------------------------
% 243.25/48.03    (1)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.25/48.03           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.25/48.03           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.25/48.03    (2)   ~ (e24 = e20)
% 243.25/48.03    (3)   ~ (e23 = e21)
% 243.25/48.03    (4)  op2(e23, e21) = e24
% 243.25/48.03    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.25/48.03           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.25/48.03           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.25/48.03    (6)  op2(e23, e23) = e21
% 243.25/48.03    (7)  all_24_2 = e22
% 243.25/48.03    (8)   ~ (e23 = e22)
% 243.25/48.03    (9)   ~ (e22 = e20)
% 243.25/48.03    (10)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.25/48.03            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.25/48.03            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.25/48.03    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.03            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.03    (12)  all_24_21 = e23
% 243.25/48.03    (13)   ~ (e23 = e20)
% 243.25/48.03    (14)  op2(e24, e23) = e22
% 243.25/48.03    (15)   ~ (e24 = e21)
% 243.25/48.03    (16)   ~ (e22 = e21)
% 243.25/48.03    (17)  op2(e23, e22) = e20
% 243.25/48.03    (18)  all_24_12 = e23
% 243.25/48.03    (19)  all_24_1 = e22
% 243.25/48.03    (20)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.25/48.03            = e22)
% 243.25/48.03    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.03            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.25/48.03            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.25/48.03    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.03            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.03            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.03    (23)   ~ (e21 = e20)
% 243.25/48.03    (24)   ~ (e24 = e22)
% 243.25/48.04    (25)  all_24_17 = e23
% 243.25/48.04    (26)   ~ (e24 = e23)
% 243.25/48.04    (27)  op2(e23, e21) = all_10_1
% 243.25/48.04    (28)  all_24_20 = e20
% 243.25/48.04    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.04    (30)  all_24_5 = e20
% 243.25/48.04    (31)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.25/48.04            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.25/48.04            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.25/48.04    (32)  all_24_3 = e21
% 243.25/48.04    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.04  
% 243.25/48.04  Begin of proof
% 243.25/48.04  | 
% 243.25/48.04  | BETA: splitting (20) gives:
% 243.25/48.04  | 
% 243.25/48.04  | Case 1:
% 243.25/48.04  | | 
% 243.25/48.04  | |   (34)  all_24_6 = e22 & op2(e22, e24) = e22
% 243.25/48.04  | | 
% 243.25/48.04  | | ALPHA: (34) implies:
% 243.25/48.04  | |   (35)  all_24_6 = e22
% 243.25/48.04  | | 
% 243.25/48.04  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (15),
% 243.25/48.04  | |            (16), (17), (18), (22), (23), (24), (25), (26), (27), (28), (29),
% 243.25/48.04  | |            (30), (33), (35) are inconsistent by sub-proof #817.
% 243.25/48.04  | | 
% 243.25/48.04  | Case 2:
% 243.25/48.04  | | 
% 243.25/48.04  | |   (36)  all_24_7 = e22 & op2(e22, e23) = e22
% 243.25/48.04  | | 
% 243.25/48.04  | | ALPHA: (36) implies:
% 243.25/48.04  | |   (37)  all_24_7 = e22
% 243.25/48.04  | | 
% 243.25/48.04  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 243.25/48.04  | |            (15), (16), (17), (19), (21), (22), (23), (24), (25), (26), (27),
% 243.25/48.04  | |            (29), (31), (32), (33), (37) are inconsistent by sub-proof #812.
% 243.25/48.04  | | 
% 243.25/48.04  | End of split
% 243.25/48.04  | 
% 243.25/48.04  End of proof
% 243.25/48.04  
% 243.25/48.04  Sub-proof #312 shows that the following formulas are inconsistent:
% 243.25/48.04  ----------------------------------------------------------------
% 243.25/48.04    (1)  all_24_7 = e20
% 243.25/48.04    (2)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.25/48.04           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.25/48.04           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.25/48.04    (3)   ~ (e24 = e20)
% 243.25/48.04    (4)   ~ (e23 = e21)
% 243.25/48.04    (5)  op2(e23, e21) = e24
% 243.25/48.04    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.25/48.04           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.25/48.04           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.25/48.04    (7)  op2(e23, e23) = e21
% 243.25/48.04    (8)  op2(e22, e20) = e22
% 243.25/48.04    (9)  all_24_2 = e22
% 243.25/48.04    (10)   ~ (e23 = e22)
% 243.25/48.04    (11)   ~ (e22 = e20)
% 243.25/48.04    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.04    (13)  all_24_21 = e23
% 243.25/48.04    (14)   ~ (e23 = e20)
% 243.25/48.04    (15)  op2(e24, e23) = e22
% 243.25/48.04    (16)  all_24_11 = e20
% 243.25/48.04    (17)   ~ (e24 = e21)
% 243.25/48.04    (18)   ~ (e22 = e21)
% 243.25/48.04    (19)   ~ (all_16_17 = e24)
% 243.25/48.04    (20)  op2(e23, e22) = e20
% 243.25/48.04    (21)  all_24_13 = e24
% 243.25/48.04    (22)  all_24_8 = e23
% 243.25/48.04    (23)  op2(e22, e21) = all_16_17
% 243.25/48.04    (24)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.25/48.04            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.25/48.04            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.25/48.04    (25)   ~ (e21 = e20)
% 243.25/48.04    (26)   ~ (e24 = e22)
% 243.25/48.04    (27)  all_24_17 = e23
% 243.25/48.04    (28)   ~ (e24 = e23)
% 243.25/48.04    (29)  op2(e23, e21) = all_10_1
% 243.25/48.04    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.04    (31)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.25/48.04            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.25/48.04            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.25/48.04    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.25/48.04            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.25/48.04            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.25/48.04    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.04  
% 243.25/48.04  Begin of proof
% 243.25/48.04  | 
% 243.25/48.04  | BETA: splitting (31) gives:
% 243.25/48.04  | 
% 243.25/48.04  | Case 1:
% 243.25/48.04  | | 
% 243.25/48.04  | |   (34)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.25/48.04  | |             e23) = e21)
% 243.25/48.04  | | 
% 243.25/48.04  | | BETA: splitting (34) gives:
% 243.25/48.04  | | 
% 243.25/48.04  | | Case 1:
% 243.25/48.04  | | | 
% 243.25/48.04  | | |   (35)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.25/48.04  | | | 
% 243.25/48.04  | | | ALPHA: (35) implies:
% 243.25/48.04  | | |   (36)  all_24_6 = e21
% 243.25/48.04  | | | 
% 243.25/48.04  | | | BETA: splitting (2) gives:
% 243.25/48.04  | | | 
% 243.25/48.04  | | | Case 1:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | |   (37)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 &
% 243.25/48.04  | | | |           op2(e22, e23) = e22)
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | BETA: splitting (37) gives:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | Case 1:
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | |   (38)  all_24_6 = e22 & op2(e22, e24) = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | ALPHA: (38) implies:
% 243.25/48.04  | | | | |   (39)  all_24_6 = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | COMBINE_EQS: (36), (39) imply:
% 243.25/48.04  | | | | |   (40)  e22 = e21
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | SIMP: (40) implies:
% 243.25/48.04  | | | | |   (41)  e22 = e21
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | REDUCE: (18), (41) imply:
% 243.25/48.04  | | | | |   (42)  $false
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | CLOSE: (42) is inconsistent.
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | Case 2:
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | |   (43)  all_24_7 = e22 & op2(e22, e23) = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | ALPHA: (43) implies:
% 243.25/48.04  | | | | |   (44)  all_24_7 = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | COMBINE_EQS: (1), (44) imply:
% 243.25/48.04  | | | | |   (45)  e22 = e20
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | REDUCE: (11), (45) imply:
% 243.25/48.04  | | | | |   (46)  $false
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | CLOSE: (46) is inconsistent.
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | End of split
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | Case 2:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | |   (47)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.25/48.04  | | | |           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | BETA: splitting (47) gives:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | Case 1:
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | |   (48)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | ALPHA: (48) implies:
% 243.25/48.04  | | | | |   (49)  all_24_8 = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | COMBINE_EQS: (22), (49) imply:
% 243.25/48.04  | | | | |   (50)  e23 = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | SIMP: (50) implies:
% 243.25/48.04  | | | | |   (51)  e23 = e22
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | REDUCE: (10), (51) imply:
% 243.25/48.04  | | | | |   (52)  $false
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | CLOSE: (52) is inconsistent.
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | Case 2:
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | |   (53)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 243.25/48.04  | | | | |           op2(e22, e20) = e22)
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | BETA: splitting (53) gives:
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | | Case 1:
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | |   (54)  all_24_11 = e22 & op2(e22, e21) = e22
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | ALPHA: (54) implies:
% 243.25/48.04  | | | | | |   (55)  all_24_11 = e22
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | COMBINE_EQS: (16), (55) imply:
% 243.25/48.04  | | | | | |   (56)  e22 = e20
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | REDUCE: (11), (56) imply:
% 243.25/48.04  | | | | | |   (57)  $false
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | CLOSE: (57) is inconsistent.
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | Case 2:
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | |   (58)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | ALPHA: (58) implies:
% 243.25/48.04  | | | | | |   (59)  all_24_18 = e22
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | | REF_CLOSE: (1), (3), (12), (17), (19), (22), (23), (24), (26), (28),
% 243.25/48.04  | | | | | |            (36), (59) are inconsistent by sub-proof #801.
% 243.25/48.04  | | | | | | 
% 243.25/48.04  | | | | | End of split
% 243.25/48.04  | | | | | 
% 243.25/48.04  | | | | End of split
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | End of split
% 243.25/48.04  | | | 
% 243.25/48.04  | | Case 2:
% 243.25/48.04  | | | 
% 243.25/48.04  | | |   (60)  all_24_7 = e21 & op2(e22, e23) = e21
% 243.25/48.04  | | | 
% 243.25/48.04  | | | ALPHA: (60) implies:
% 243.25/48.04  | | |   (61)  all_24_7 = e21
% 243.25/48.04  | | | 
% 243.25/48.04  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 243.25/48.04  | | |            (15), (17), (18), (20), (21), (25), (26), (27), (28), (29),
% 243.25/48.04  | | |            (30), (32), (33), (61) are inconsistent by sub-proof #745.
% 243.25/48.04  | | | 
% 243.25/48.04  | | End of split
% 243.25/48.04  | | 
% 243.25/48.04  | Case 2:
% 243.25/48.04  | | 
% 243.25/48.04  | |   (62)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 243.25/48.04  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.25/48.04  | | 
% 243.25/48.04  | | BETA: splitting (62) gives:
% 243.25/48.04  | | 
% 243.25/48.04  | | Case 1:
% 243.25/48.04  | | | 
% 243.25/48.04  | | |   (63)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.25/48.04  | | | 
% 243.25/48.04  | | | REF_CLOSE: (4), (5), (7), (9), (10), (12), (14), (17), (20), (22), (26),
% 243.25/48.04  | | |            (27), (28), (29), (30), (33), (63) are inconsistent by
% 243.25/48.04  | | |            sub-proof #758.
% 243.25/48.04  | | | 
% 243.25/48.04  | | Case 2:
% 243.25/48.04  | | | 
% 243.25/48.04  | | |   (64)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 243.25/48.04  | | |           op2(e22, e20) = e21)
% 243.25/48.04  | | | 
% 243.25/48.04  | | | BETA: splitting (64) gives:
% 243.25/48.04  | | | 
% 243.25/48.04  | | | Case 1:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | |   (65)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | ALPHA: (65) implies:
% 243.25/48.04  | | | |   (66)  all_24_11 = e21
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | REF_CLOSE: (16), (25), (66) are inconsistent by sub-proof #788.
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | Case 2:
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | |   (67)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | | REF_CLOSE: (8), (12), (18), (67) are inconsistent by sub-proof #740.
% 243.25/48.04  | | | | 
% 243.25/48.04  | | | End of split
% 243.25/48.04  | | | 
% 243.25/48.04  | | End of split
% 243.25/48.04  | | 
% 243.25/48.04  | End of split
% 243.25/48.04  | 
% 243.25/48.04  End of proof
% 243.25/48.04  
% 243.25/48.04  Sub-proof #313 shows that the following formulas are inconsistent:
% 243.25/48.04  ----------------------------------------------------------------
% 243.25/48.04    (1)  all_24_20 = e24
% 243.25/48.04    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.25/48.04           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.25/48.04           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.25/48.04    (3)  all_24_23 = e20
% 243.25/48.04    (4)   ~ (e24 = e20)
% 243.25/48.04    (5)   ~ (e23 = e21)
% 243.25/48.04    (6)  op2(e23, e21) = e24
% 243.25/48.04    (7)  op2(e23, e23) = e21
% 243.25/48.04    (8)  all_24_2 = e22
% 243.25/48.04    (9)   ~ (e23 = e22)
% 243.25/48.04    (10)  all_24_0 = e20
% 243.25/48.04    (11)   ~ (e22 = e20)
% 243.25/48.04    (12)  all_24_6 = e21
% 243.25/48.04    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.04    (14)  all_24_23 = e21 & op2(e20, e21) = e21
% 243.25/48.04    (15)   ~ (e23 = e20)
% 243.25/48.04    (16)   ~ (e24 = e21)
% 243.25/48.04    (17)   ~ (e22 = e21)
% 243.25/48.04    (18)  op2(e23, e22) = e20
% 243.25/48.04    (19)  all_24_12 = e23
% 243.25/48.04    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.04    (21)   ~ (e21 = e20)
% 243.25/48.04    (22)   ~ (e24 = e22)
% 243.25/48.04    (23)  all_24_17 = e23
% 243.25/48.04    (24)   ~ (e24 = e23)
% 243.25/48.04    (25)  op2(e23, e21) = all_10_1
% 243.25/48.04    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.04    (27)  all_24_5 = e20
% 243.25/48.04    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.04  
% 243.25/48.04  Begin of proof
% 243.25/48.04  | 
% 243.25/48.04  | ALPHA: (14) implies:
% 243.25/48.04  |   (29)  all_24_23 = e21
% 243.25/48.04  | 
% 243.25/48.04  | COMBINE_EQS: (3), (29) imply:
% 243.25/48.04  |   (30)  e21 = e20
% 243.25/48.04  | 
% 243.25/48.04  | COMBINE_EQS: (12), (30) imply:
% 243.25/48.04  |   (31)  all_24_6 = e20
% 243.25/48.04  | 
% 243.25/48.04  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 243.25/48.04  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 243.25/48.04  |            (27), (28), (31) are inconsistent by sub-proof #871.
% 243.25/48.04  | 
% 243.25/48.04  End of proof
% 243.25/48.04  
% 243.25/48.04  Sub-proof #314 shows that the following formulas are inconsistent:
% 243.25/48.04  ----------------------------------------------------------------
% 243.25/48.04    (1)   ~ (e24 = e20)
% 243.25/48.04    (2)   ~ (e23 = e21)
% 243.25/48.04    (3)  op2(e23, e21) = e24
% 243.25/48.04    (4)  op2(e23, e23) = e21
% 243.25/48.04    (5)  all_24_2 = e22
% 243.25/48.04    (6)   ~ (e23 = e22)
% 243.25/48.04    (7)   ~ (e22 = e20)
% 243.25/48.04    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.04           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.04    (9)   ~ (e23 = e20)
% 243.25/48.04    (10)   ~ (e24 = e21)
% 243.25/48.04    (11)   ~ (e22 = e21)
% 243.25/48.04    (12)  op2(e23, e22) = e20
% 243.25/48.05    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.05            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.05            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.05    (14)  all_24_15 = e21
% 243.25/48.05    (15)   ~ (e24 = e22)
% 243.25/48.05    (16)   ~ (e24 = e23)
% 243.25/48.05    (17)  op2(e23, e21) = all_10_1
% 243.25/48.05    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.05    (19)  all_24_5 = e20
% 243.25/48.05    (20)  all_24_15 = e22 & op2(e21, e21) = e22
% 243.25/48.05    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.05  
% 243.25/48.05  Begin of proof
% 243.25/48.05  | 
% 243.25/48.05  | ALPHA: (20) implies:
% 243.25/48.05  |   (22)  all_24_15 = e22
% 243.25/48.05  | 
% 243.25/48.05  | COMBINE_EQS: (14), (22) imply:
% 243.25/48.05  |   (23)  e22 = e21
% 243.25/48.05  | 
% 243.25/48.05  | COMBINE_EQS: (5), (23) imply:
% 243.25/48.05  |   (24)  all_24_2 = e21
% 243.25/48.05  | 
% 243.25/48.05  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 243.25/48.05  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 243.25/48.05  |            sub-proof #1298.
% 243.25/48.05  | 
% 243.25/48.05  End of proof
% 243.25/48.05  
% 243.25/48.05  Sub-proof #315 shows that the following formulas are inconsistent:
% 243.25/48.05  ----------------------------------------------------------------
% 243.25/48.05    (1)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.25/48.05           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.25/48.05           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.25/48.05    (2)   ~ (e24 = e20)
% 243.25/48.05    (3)   ~ (e23 = e21)
% 243.25/48.05    (4)  op2(e23, e21) = e24
% 243.25/48.05    (5)   ~ (all_16_1 = e21)
% 243.25/48.05    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.25/48.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.25/48.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.25/48.05    (7)  op2(e23, e23) = e21
% 243.25/48.05    (8)  all_24_2 = e22
% 243.25/48.05    (9)   ~ (e23 = e22)
% 243.25/48.05    (10)   ~ (e22 = e20)
% 243.25/48.05    (11)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.25/48.05            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.25/48.05            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.25/48.05    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.25/48.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.25/48.05    (13)  all_24_13 = e20
% 243.25/48.05    (14)   ~ (e23 = e20)
% 243.25/48.05    (15)  op2(e24, e23) = e22
% 243.25/48.05    (16)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 243.25/48.05            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 243.25/48.05            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 243.25/48.05    (17)   ~ (e24 = e21)
% 243.25/48.05    (18)   ~ (e22 = e21)
% 243.25/48.05    (19)   ~ (all_16_1 = e20)
% 243.25/48.05    (20)  op2(e23, e22) = e20
% 243.25/48.05    (21)   ~ (all_16_1 = e23)
% 243.25/48.05    (22)  all_24_12 = e23
% 243.25/48.05    (23)  all_24_1 = e22
% 243.25/48.05    (24)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.25/48.05            = e22)
% 243.25/48.05    (25)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.05            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.25/48.05            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.25/48.05    (26)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.25/48.05            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.25/48.05            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.25/48.05    (27)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.25/48.05    (28)   ~ (e21 = e20)
% 243.25/48.05    (29)   ~ (e24 = e22)
% 243.25/48.05    (30)  all_24_17 = e23
% 243.25/48.05    (31)  op2(e23, e24) = all_16_1
% 243.25/48.05    (32)   ~ (e24 = e23)
% 243.25/48.05    (33)  op2(e23, e21) = all_10_1
% 243.25/48.05    (34)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.05            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.25/48.05            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.25/48.05    (35)  all_20_5 = all_16_1
% 243.25/48.05    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.25/48.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.25/48.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.25/48.05    (37)  all_24_5 = e20
% 243.25/48.05    (38)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.25/48.05            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.25/48.05            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.25/48.05    (39)  all_24_3 = e21
% 243.25/48.05    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.25/48.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.25/48.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.25/48.05  
% 243.25/48.05  Begin of proof
% 243.25/48.05  | 
% 243.25/48.05  | BETA: splitting (24) gives:
% 243.25/48.05  | 
% 243.25/48.05  | Case 1:
% 243.25/48.05  | | 
% 243.25/48.05  | |   (41)  all_24_6 = e22 & op2(e22, e24) = e22
% 243.25/48.05  | | 
% 243.25/48.05  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 243.25/48.05  | |            (16), (17), (18), (20), (22), (26), (28), (29), (30), (32), (33),
% 243.25/48.05  | |            (36), (37), (40), (41) are inconsistent by sub-proof #816.
% 243.25/48.05  | | 
% 243.25/48.05  | Case 2:
% 243.25/48.05  | | 
% 243.25/48.05  | |   (42)  all_24_7 = e22 & op2(e22, e23) = e22
% 243.25/48.05  | | 
% 243.25/48.05  | | ALPHA: (42) implies:
% 243.25/48.05  | |   (43)  all_24_7 = e22
% 243.25/48.05  | | 
% 243.43/48.05  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 243.43/48.05  | |            (15), (17), (18), (19), (20), (21), (23), (25), (26), (27), (28),
% 243.43/48.05  | |            (29), (30), (31), (32), (33), (34), (35), (36), (38), (39), (40),
% 243.43/48.05  | |            (43) are inconsistent by sub-proof #761.
% 243.43/48.05  | | 
% 243.43/48.05  | End of split
% 243.43/48.05  | 
% 243.43/48.05  End of proof
% 243.43/48.05  
% 243.43/48.05  Sub-proof #316 shows that the following formulas are inconsistent:
% 243.43/48.05  ----------------------------------------------------------------
% 243.43/48.05    (1)  all_24_20 = e24
% 243.43/48.05    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.43/48.05           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.43/48.05           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.43/48.05    (3)   ~ (e24 = e20)
% 243.43/48.05    (4)   ~ (e23 = e21)
% 243.43/48.05    (5)  op2(e23, e21) = e24
% 243.43/48.05    (6)  op2(e23, e23) = e21
% 243.43/48.05    (7)  all_24_2 = e22
% 243.43/48.05    (8)   ~ (e23 = e22)
% 243.43/48.05    (9)  all_24_0 = e20
% 243.43/48.05    (10)   ~ (e22 = e20)
% 243.43/48.05    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.05    (12)  all_24_7 = e24
% 243.43/48.05    (13)   ~ (e23 = e20)
% 243.43/48.05    (14)   ~ (e24 = e21)
% 243.43/48.05    (15)   ~ (e22 = e21)
% 243.43/48.05    (16)  op2(e23, e22) = e20
% 243.43/48.05    (17)  all_24_12 = e23
% 243.43/48.05    (18)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.05            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.05            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.05    (19)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.43/48.05            = e20)
% 243.43/48.05    (20)   ~ (e21 = e20)
% 243.43/48.05    (21)   ~ (e24 = e22)
% 243.43/48.05    (22)  all_24_17 = e23
% 243.43/48.05    (23)   ~ (e24 = e23)
% 243.43/48.05    (24)  op2(e23, e21) = all_10_1
% 243.43/48.05    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.05    (26)  all_24_5 = e20
% 243.43/48.05    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.05  
% 243.43/48.05  Begin of proof
% 243.43/48.05  | 
% 243.43/48.05  | BETA: splitting (19) gives:
% 243.43/48.05  | 
% 243.43/48.05  | Case 1:
% 243.43/48.05  | | 
% 243.43/48.05  | |   (28)  all_24_6 = e20 & op2(e22, e24) = e20
% 243.43/48.05  | | 
% 243.43/48.05  | | ALPHA: (28) implies:
% 243.43/48.05  | |   (29)  all_24_6 = e20
% 243.43/48.05  | | 
% 243.43/48.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 243.43/48.05  | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 243.43/48.05  | |            (26), (27), (29) are inconsistent by sub-proof #871.
% 243.43/48.05  | | 
% 243.43/48.05  | Case 2:
% 243.43/48.05  | | 
% 243.43/48.05  | |   (30)  all_24_7 = e20 & op2(e22, e23) = e20
% 243.43/48.05  | | 
% 243.43/48.05  | | ALPHA: (30) implies:
% 243.43/48.05  | |   (31)  all_24_7 = e20
% 243.43/48.05  | | 
% 243.43/48.05  | | REF_CLOSE: (3), (12), (31) are inconsistent by sub-proof #869.
% 243.43/48.05  | | 
% 243.43/48.05  | End of split
% 243.43/48.05  | 
% 243.43/48.05  End of proof
% 243.43/48.05  
% 243.43/48.05  Sub-proof #317 shows that the following formulas are inconsistent:
% 243.43/48.05  ----------------------------------------------------------------
% 243.43/48.05    (1)  all_24_6 = e24 & op2(e22, e24) = e24
% 243.43/48.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.05    (3)  op2(e22, e24) = all_16_2
% 243.43/48.05    (4)   ~ (all_16_2 = e24)
% 243.43/48.05  
% 243.43/48.05  Begin of proof
% 243.43/48.05  | 
% 243.43/48.05  | ALPHA: (1) implies:
% 243.43/48.05  |   (5)  op2(e22, e24) = e24
% 243.43/48.05  | 
% 243.43/48.05  | GROUND_INST: instantiating (2) with all_16_2, e24, e24, e22, simplifying with
% 243.43/48.05  |              (3), (5) gives:
% 243.43/48.05  |   (6)  all_16_2 = e24
% 243.43/48.05  | 
% 243.43/48.05  | REDUCE: (4), (6) imply:
% 243.43/48.05  |   (7)  $false
% 243.43/48.05  | 
% 243.43/48.05  | CLOSE: (7) is inconsistent.
% 243.43/48.05  | 
% 243.43/48.05  End of proof
% 243.43/48.05  
% 243.43/48.05  Sub-proof #318 shows that the following formulas are inconsistent:
% 243.43/48.05  ----------------------------------------------------------------
% 243.43/48.05    (1)  op2(e24, e22) = all_16_10
% 243.43/48.05    (2)   ~ (all_16_10 = all_4_2)
% 243.43/48.05    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.43/48.05           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.43/48.05           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.43/48.05    (4)   ~ (all_16_10 = e20)
% 243.43/48.05    (5)  op2(e22, all_4_2) = all_4_1
% 243.43/48.05    (6)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.43/48.05             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.43/48.05           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.05    (7)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.43/48.05           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.43/48.05           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.05    (8)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.43/48.05           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.43/48.05           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.43/48.06    (9)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 243.43/48.06             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 243.43/48.06           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 243.43/48.06    (10)  op2(e22, unit2) = e22
% 243.43/48.06    (11)   ~ (all_16_15 = e24)
% 243.43/48.06    (12)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 243.43/48.06              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 243.43/48.06            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.43/48.06    (13)  op2(unit2, e24) = e24
% 243.43/48.06    (14)  op2(e23, unit2) = e23
% 243.43/48.06    (15)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.43/48.06              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.43/48.06            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.43/48.06    (16)  op2(e20, e24) = all_16_4
% 243.43/48.06    (17)   ~ (all_16_14 = e23)
% 243.43/48.06    (18)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 243.43/48.06              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 243.43/48.06            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.43/48.06    (19)   ~ (all_16_14 = all_4_2)
% 243.43/48.06    (20)   ~ (all_16_22 = all_4_2)
% 243.43/48.06    (21)   ~ (e24 = e20)
% 243.43/48.06    (22)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 243.43/48.06              e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 243.43/48.06            e20 & op2(e21, e20) = e20)
% 243.43/48.06    (23)   ~ (e23 = e21)
% 243.43/48.06    (24)  all_24_6 = e23
% 243.43/48.06    (25)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.43/48.06              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.43/48.06            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.43/48.06    (26)  op2(e23, e21) = e24
% 243.43/48.06    (27)   ~ (all_16_1 = e21)
% 243.43/48.06    (28)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.06            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.06            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.06    (29)  all_24_14 = e23
% 243.43/48.06    (30)  op2(e23, e23) = e21
% 243.43/48.06    (31)  op2(e22, e20) = all_16_22
% 243.43/48.06    (32)   ~ (all_16_4 = e23)
% 243.43/48.06    (33)  all_24_2 = e22
% 243.43/48.06    (34)   ~ (e23 = e22)
% 243.43/48.06    (35)   ~ (all_16_7 = all_4_2)
% 243.43/48.06    (36)  op2(e20, unit2) = e20
% 243.43/48.06    (37)   ~ (e22 = e20)
% 243.43/48.06    (38)  op2(e21, e23) = all_16_8
% 243.43/48.06    (39)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.43/48.06            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.43/48.06            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.43/48.06    (40)   ~ (all_6_2 = e24)
% 243.43/48.06    (41)   ~ (all_16_7 = all_16_8)
% 243.43/48.06    (42)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.06            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.06    (43)  all_24_13 = e20
% 243.43/48.06    (44)  all_24_7 = e24
% 243.43/48.06    (45)   ~ (all_16_8 = e21)
% 243.43/48.06    (46)  op2(e23, e24) = e22
% 243.43/48.06    (47)  op2(e22, all_4_0) = all_4_3
% 243.43/48.06    (48)  all_24_21 = e23
% 243.43/48.06    (49)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.43/48.06            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.43/48.06            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.43/48.06    (50)   ~ (e23 = e20)
% 243.43/48.06    (51)  all_24_9 = e23
% 243.43/48.06    (52)   ~ (all_6_2 = e20)
% 243.43/48.06    (53)   ~ (all_16_7 = e23)
% 243.43/48.06    (54)  op2(e24, e23) = e22
% 243.43/48.06    (55)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.43/48.06              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.43/48.06            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.06    (56)   ~ (all_16_10 = e22)
% 243.43/48.06    (57)   ~ (e24 = e21)
% 243.43/48.06    (58)   ~ (all_8_2 = e23)
% 243.43/48.06    (59)  op2(e20, e22) = all_16_14
% 243.43/48.06    (60)   ~ (all_16_17 = e23)
% 243.43/48.06    (61)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.43/48.06              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.43/48.06            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.43/48.06    (62)  op2(e21, all_6_2) = all_6_1
% 243.43/48.06    (63)   ~ (e22 = e21)
% 243.43/48.06    (64)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.43/48.06            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.43/48.06            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.43/48.06    (65)   ~ (all_16_1 = e20)
% 243.43/48.06    (66)   ~ (all_16_17 = e24)
% 243.43/48.06    (67)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.43/48.06              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 243.43/48.06            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.43/48.06    (68)   ~ (all_4_2 = e20)
% 243.43/48.06    (69)   ~ (all_16_4 = all_8_2)
% 243.43/48.06    (70)  op2(e24, unit2) = e24
% 243.43/48.06    (71)  all_24_8 = e22
% 243.43/48.06    (72)  op2(e23, e22) = e20
% 243.43/48.06    (73)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.43/48.06              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.43/48.06            e20 & op2(e20, e21) = e20)
% 243.43/48.06    (74)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.43/48.06            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.43/48.06            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.43/48.06    (75)   ~ (all_16_1 = e23)
% 243.43/48.06    (76)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 243.43/48.06              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 243.43/48.06            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.06    (77)   ~ (all_16_20 = e22)
% 243.43/48.06    (78)   ~ (all_4_2 = e23)
% 243.43/48.06    (79)   ~ (all_16_22 = all_8_2)
% 243.43/48.06    (80)   ~ (all_16_14 = e20)
% 243.43/48.06    (81)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.43/48.06              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.43/48.06            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.43/48.06    (82)   ~ (all_16_4 = all_16_19)
% 243.43/48.06    (83)  op2(e24, e20) = all_16_20
% 243.43/48.06    (84)   ~ (all_16_19 = e23)
% 243.43/48.06    (85)  all_24_1 = e22
% 243.43/48.06    (86)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.43/48.06            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.43/48.06            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.43/48.06    (87)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.06    (88)   ~ (all_16_17 = all_16_22)
% 243.43/48.06    (89)   ~ (all_4_2 = e24)
% 243.43/48.06    (90)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 243.43/48.06            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.43/48.06            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.43/48.06    (91)   ~ (all_16_17 = all_4_2)
% 243.43/48.06    (92)  op2(e22, e21) = all_16_17
% 243.43/48.06    (93)  op2(all_6_1, e21) = all_6_0
% 243.43/48.06    (94)   ~ (all_16_20 = all_8_2)
% 243.43/48.06    (95)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.06            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.06            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.06    (96)   ~ (all_16_22 = e23)
% 243.43/48.06    (97)   ~ (all_16_8 = e23)
% 243.43/48.06    (98)  op2(e22, e23) = all_16_7
% 243.43/48.06    (99)   ~ (all_16_19 = e24)
% 243.43/48.06    (100)  op2(unit2, e22) = e22
% 243.43/48.06    (101)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.43/48.06               e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15
% 243.43/48.06             = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 243.43/48.06             e20)
% 243.43/48.06    (102)  op2(e21, e21) = all_6_2
% 243.43/48.06    (103)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 243.43/48.06               e23) = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 =
% 243.43/48.06             e22 & op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.06    (104)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.43/48.06    (105)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 243.43/48.06               e23) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 =
% 243.43/48.06             e24 & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.43/48.06    (106)   ~ (all_16_4 = e22)
% 243.43/48.06    (107)   ~ (all_16_7 = e22)
% 243.43/48.06    (108)   ~ (e21 = e20)
% 243.43/48.06    (109)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 243.43/48.06               e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 =
% 243.43/48.06             e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.43/48.06    (110)  op2(e24, e21) = all_16_15
% 243.43/48.06    (111)   ~ (all_16_7 = all_16_17)
% 243.43/48.06    (112)   ~ (e24 = e22)
% 243.43/48.06    (113)  op2(e22, e24) = e23
% 243.43/48.06    (114)  op2(e20, e20) = all_8_2
% 243.43/48.06    (115)  all_24_17 = e23
% 243.43/48.06    (116)  op2(e21, e22) = e23
% 243.43/48.06    (117)  op2(e23, e24) = all_16_1
% 243.43/48.06    (118)   ~ (all_16_7 = e21)
% 243.43/48.06    (119)   ~ (e24 = e23)
% 243.43/48.06    (120)  op2(e23, e21) = all_10_1
% 243.43/48.06    (121)   ~ (all_16_14 = all_8_2)
% 243.43/48.06    (122)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 243.43/48.06               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 243.43/48.06             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.06    (123)  op2(all_4_1, e22) = all_4_0
% 243.43/48.06    (124)  op2(e21, unit2) = e21
% 243.43/48.06    (125)  op2(e22, e22) = all_4_2
% 243.43/48.06    (126)  op2(e20, e21) = all_16_19
% 243.43/48.06    (127)   ~ (all_16_8 = e22)
% 243.43/48.06    (128)  all_20_5 = all_16_1
% 243.43/48.06    (129)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 243.43/48.06               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 243.43/48.06             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.06    (130)   ~ (all_6_2 = e23)
% 243.43/48.06    (131)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.43/48.07               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 243.43/48.07             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.43/48.07    (132)   ~ (all_16_4 = all_16_14)
% 243.43/48.07    (133)  all_24_5 = e20
% 243.43/48.07    (134)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.43/48.07               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.43/48.07             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.43/48.07             e21)
% 243.43/48.07    (135)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.43/48.07               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.43/48.07             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.07    (136)  all_24_3 = e21
% 243.43/48.07    (137)   ~ (all_16_7 = all_16_22)
% 243.43/48.07    (138)   ~ (all_16_10 = e23)
% 243.43/48.07    (139)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.43/48.07               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.43/48.07             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.07  
% 243.43/48.07  Begin of proof
% 243.43/48.07  | 
% 243.43/48.07  | BETA: splitting (81) gives:
% 243.43/48.07  | 
% 243.43/48.07  | Case 1:
% 243.43/48.07  | | 
% 243.43/48.07  | |   (140)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 &
% 243.43/48.07  | |            op2(e23, e21) = e22)
% 243.43/48.07  | | 
% 243.43/48.07  | | REF_CLOSE: (23), (26), (27), (30), (34), (42), (50), (51), (65), (72), (75),
% 243.43/48.07  | |            (104), (112), (115), (117), (119), (120), (128), (139), (140) are
% 243.43/48.07  | |            inconsistent by sub-proof #378.
% 243.43/48.07  | | 
% 243.43/48.07  | Case 2:
% 243.43/48.07  | | 
% 243.43/48.07  | |   (141)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22 &
% 243.43/48.07  | |            op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.43/48.07  | | 
% 243.43/48.07  | | BETA: splitting (141) gives:
% 243.43/48.07  | | 
% 243.43/48.07  | | Case 1:
% 243.43/48.07  | | | 
% 243.43/48.07  | | |   (142)  all_24_11 = e22 & op2(e22, e21) = e22
% 243.43/48.07  | | | 
% 243.43/48.07  | | | ALPHA: (142) implies:
% 243.43/48.07  | | |   (143)  all_24_11 = e22
% 243.43/48.07  | | | 
% 243.43/48.07  | | | BETA: splitting (131) gives:
% 243.43/48.07  | | | 
% 243.43/48.07  | | | Case 1:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | |   (144)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 &
% 243.43/48.07  | | | |            op2(e22, e23) = e21)
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | BETA: splitting (144) gives:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | Case 1:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (145)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | REF_CLOSE: (23), (24), (26), (30), (33), (34), (42), (50), (57), (72),
% 243.43/48.07  | | | | |            (112), (115), (119), (120), (129), (139), (145) are
% 243.43/48.07  | | | | |            inconsistent by sub-proof #355.
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | Case 2:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (146)  all_24_7 = e21 & op2(e22, e23) = e21
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | ALPHA: (146) implies:
% 243.43/48.07  | | | | |   (147)  all_24_7 = e21
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37), (38), (42),
% 243.43/48.07  | | | | |            (48), (50), (53), (54), (57), (63), (72), (85), (95), (97),
% 243.43/48.07  | | | | |            (98), (108), (112), (115), (119), (120), (122), (129),
% 243.43/48.07  | | | | |            (135), (136), (139), (147) are inconsistent by sub-proof
% 243.43/48.07  | | | | |            #744.
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | End of split
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | Case 2:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | |   (148)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.43/48.07  | | | |            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) =
% 243.43/48.07  | | | |            e21)
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | BETA: splitting (148) gives:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | Case 1:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (149)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | REF_CLOSE: (21), (23), (26), (30), (33), (34), (37), (42), (50), (57),
% 243.43/48.07  | | | | |            (63), (71), (72), (103), (112), (119), (120), (129), (133),
% 243.43/48.07  | | | | |            (139), (149) are inconsistent by sub-proof #625.
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | Case 2:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (150)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 243.43/48.07  | | | | |            op2(e22, e20) = e21)
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | BETA: splitting (150) gives:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | Case 1:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | |   (151)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | ALPHA: (151) implies:
% 243.43/48.07  | | | | | |   (152)  all_24_11 = e21
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | REF_CLOSE: (21), (23), (26), (30), (33), (34), (37), (42), (50),
% 243.43/48.07  | | | | | |            (57), (63), (72), (103), (112), (119), (120), (129),
% 243.43/48.07  | | | | | |            (133), (139), (143), (152) are inconsistent by sub-proof
% 243.43/48.07  | | | | | |            #792.
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | Case 2:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | |   (153)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | ALPHA: (153) implies:
% 243.43/48.07  | | | | | |   (154)  all_24_18 = e21
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | BETA: splitting (105) gives:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | Case 1:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | |   (155)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24
% 243.43/48.07  | | | | | | |            & op2(e22, e23) = e24)
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | BETA: splitting (155) gives:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | |   (156)  all_24_6 = e24 & op2(e22, e24) = e24
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | REF_CLOSE: (24), (119), (156) are inconsistent by sub-proof
% 243.43/48.07  | | | | | | | |            #560.
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | |   (157)  all_24_7 = e24 & op2(e22, e23) = e24
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | BETA: splitting (7) gives:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | |   (158)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 =
% 243.43/48.07  | | | | | | | | |            e20 & op2(e22, e23) = e20)
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | BETA: splitting (158) gives:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (159)  all_24_6 = e20 & op2(e22, e24) = e20
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | ALPHA: (159) implies:
% 243.43/48.07  | | | | | | | | | |   (160)  all_24_6 = e20
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | COMBINE_EQS: (24), (160) imply:
% 243.43/48.07  | | | | | | | | | |   (161)  e23 = e20
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (42),
% 243.43/48.07  | | | | | | | | | |            (50), (57), (63), (72), (108), (112), (115),
% 243.43/48.07  | | | | | | | | | |            (119), (120), (129), (139), (161) are inconsistent
% 243.43/48.07  | | | | | | | | | |            by sub-proof #833.
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (162)  all_24_7 = e20 & op2(e22, e23) = e20
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | REF_CLOSE: (21), (44), (162) are inconsistent by sub-proof
% 243.43/48.07  | | | | | | | | | |            #847.
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | |   (163)  (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 =
% 243.43/48.07  | | | | | | | | |            e20 & op2(e22, e21) = e20) | (all_24_18 = e20 &
% 243.43/48.07  | | | | | | | | |            op2(e22, e20) = e20)
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | BETA: splitting (163) gives:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (164)  all_24_8 = e20 & op2(e22, e22) = e20
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.07  | | | | | | | | | |            (42), (50), (57), (63), (71), (72), (103), (108),
% 243.43/48.07  | | | | | | | | | |            (112), (119), (120), (129), (139), (164) are
% 243.43/48.07  | | | | | | | | | |            inconsistent by sub-proof #538.
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (165)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.07  | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | BETA: splitting (165) gives:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | |   (166)  all_24_11 = e20 & op2(e22, e21) = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | ALPHA: (166) implies:
% 243.43/48.07  | | | | | | | | | | |   (167)  all_24_11 = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.07  | | | | | | | | | | |            (42), (50), (57), (63), (72), (103), (108), (112),
% 243.43/48.07  | | | | | | | | | | |            (119), (120), (129), (139), (143), (167) are
% 243.43/48.07  | | | | | | | | | | |            inconsistent by sub-proof #786.
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | |   (168)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | ALPHA: (168) implies:
% 243.43/48.07  | | | | | | | | | | |   (169)  all_24_18 = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | COMBINE_EQS: (154), (169) imply:
% 243.43/48.07  | | | | | | | | | | |   (170)  e21 = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | REDUCE: (108), (170) imply:
% 243.43/48.07  | | | | | | | | | | |   (171)  $false
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | End of split
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | Case 2:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | |   (172)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24
% 243.43/48.07  | | | | | | |            & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22,
% 243.43/48.07  | | | | | | |              e20) = e24)
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | BETA: splitting (172) gives:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | |   (173)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | ALPHA: (173) implies:
% 243.43/48.07  | | | | | | | |   (174)  all_24_8 = e24
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | REF_CLOSE: (71), (112), (174) are inconsistent by sub-proof
% 243.43/48.07  | | | | | | | |            #692.
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | |   (175)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 =
% 243.43/48.07  | | | | | | | |            e24 & op2(e22, e20) = e24)
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | BETA: splitting (175) gives:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | |   (176)  all_24_11 = e24 & op2(e22, e21) = e24
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | REF_CLOSE: (42), (66), (92), (176) are inconsistent by
% 243.43/48.07  | | | | | | | | |            sub-proof #829.
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | |   (177)  all_24_18 = e24 & op2(e22, e20) = e24
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | ALPHA: (177) implies:
% 243.43/48.07  | | | | | | | | |   (178)  all_24_18 = e24
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | REF_CLOSE: (57), (154), (178) are inconsistent by sub-proof
% 243.43/48.07  | | | | | | | | |            #791.
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | End of split
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | End of split
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | End of split
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | End of split
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | End of split
% 243.43/48.07  | | | 
% 243.43/48.07  | | Case 2:
% 243.43/48.07  | | | 
% 243.43/48.07  | | |   (179)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 243.43/48.07  | | |            op2(e20, e21) = e22)
% 243.43/48.07  | | | 
% 243.43/48.07  | | | BETA: splitting (179) gives:
% 243.43/48.07  | | | 
% 243.43/48.07  | | | Case 1:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | |   (180)  all_24_15 = e22 & op2(e21, e21) = e22
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | ALPHA: (180) implies:
% 243.43/48.07  | | | |   (181)  all_24_15 = e22
% 243.43/48.07  | | | |   (182)  op2(e21, e21) = e22
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | GROUND_INST: instantiating (42) with all_6_2, e22, e21, e21, simplifying
% 243.43/48.07  | | | |              with (102), (182) gives:
% 243.43/48.07  | | | |   (183)  all_6_2 = e22
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | REDUCE: (40), (183) imply:
% 243.43/48.07  | | | |   (184)   ~ (e24 = e22)
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | REDUCE: (130), (183) imply:
% 243.43/48.07  | | | |   (185)   ~ (e23 = e22)
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | REDUCE: (62), (183) imply:
% 243.43/48.07  | | | |   (186)  op2(e21, e22) = all_6_1
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | BETA: splitting (76) gives:
% 243.43/48.07  | | | | 
% 243.43/48.07  | | | | Case 1:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (187)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 243.43/48.07  | | | | |            op2(e20, e23) = e22)
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | REF_CLOSE: (16), (21), (23), (26), (28), (30), (33), (34), (37), (42),
% 243.43/48.07  | | | | |            (46), (50), (53), (54), (57), (63), (72), (85), (95), (98),
% 243.43/48.07  | | | | |            (103), (106), (108), (112), (115), (119), (120), (122),
% 243.43/48.07  | | | | |            (129), (135), (136), (139), (187) are inconsistent by
% 243.43/48.07  | | | | |            sub-proof #775.
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | Case 2:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | |   (188)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 243.43/48.07  | | | | |            op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 243.43/48.07  | | | | |            e22)
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | BETA: splitting (188) gives:
% 243.43/48.07  | | | | | 
% 243.43/48.07  | | | | | Case 1:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | |   (189)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | ALPHA: (189) implies:
% 243.43/48.07  | | | | | |   (190)  all_24_22 = e22
% 243.43/48.07  | | | | | |   (191)  op2(e20, e22) = e22
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 243.43/48.07  | | | | | |            (12), (14), (15), (16), (17), (19), (20), (21), (22),
% 243.43/48.07  | | | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 243.43/48.07  | | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 243.43/48.07  | | | | | |            (41), (42), (43), (44), (45), (46), (47), (48), (49),
% 243.43/48.07  | | | | | |            (50), (51), (53), (54), (55), (56), (57), (59), (60),
% 243.43/48.07  | | | | | |            (61), (62), (63), (64), (65), (66), (67), (68), (70),
% 243.43/48.07  | | | | | |            (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 243.43/48.07  | | | | | |            (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 243.43/48.07  | | | | | |            (90), (91), (92), (93), (95), (96), (97), (98), (99),
% 243.43/48.07  | | | | | |            (101), (102), (103), (104), (105), (107), (108), (109),
% 243.43/48.07  | | | | | |            (110), (111), (112), (113), (114), (115), (116), (117),
% 243.43/48.07  | | | | | |            (118), (119), (120), (121), (122), (123), (124), (125),
% 243.43/48.07  | | | | | |            (126), (127), (128), (129), (131), (132), (133), (134),
% 243.43/48.07  | | | | | |            (135), (136), (137), (138), (139), (190), (191) are
% 243.43/48.07  | | | | | |            inconsistent by sub-proof #332.
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | Case 2:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | |   (192)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22
% 243.43/48.07  | | | | | |            & op2(e20, e20) = e22)
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | BETA: splitting (192) gives:
% 243.43/48.07  | | | | | | 
% 243.43/48.07  | | | | | | Case 1:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | |   (193)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | ALPHA: (193) implies:
% 243.43/48.07  | | | | | | |   (194)  all_24_23 = e22
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | REF_CLOSE: (10), (12), (14), (21), (23), (24), (26), (28), (30),
% 243.43/48.07  | | | | | | |            (33), (34), (37), (38), (42), (46), (48), (50), (51),
% 243.43/48.07  | | | | | | |            (52), (53), (54), (57), (63), (71), (72), (85), (87),
% 243.43/48.07  | | | | | | |            (95), (97), (98), (102), (103), (108), (112), (115),
% 243.43/48.07  | | | | | | |            (119), (120), (122), (129), (131), (133), (135), (136),
% 243.43/48.07  | | | | | | |            (139), (194) are inconsistent by sub-proof #329.
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | Case 2:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | |   (195)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | ALPHA: (195) implies:
% 243.43/48.07  | | | | | | |   (196)  all_24_24 = e22
% 243.43/48.07  | | | | | | |   (197)  op2(e20, e20) = e22
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | GROUND_INST: instantiating (42) with all_8_2, e22, e20, e20,
% 243.43/48.07  | | | | | | |              simplifying with (114), (197) gives:
% 243.43/48.07  | | | | | | |   (198)  all_8_2 = e22
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | GROUND_INST: instantiating (42) with e23, all_6_1, e22, e21,
% 243.43/48.07  | | | | | | |              simplifying with (116), (186) gives:
% 243.43/48.07  | | | | | | |   (199)  all_6_1 = e23
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | REDUCE: (93), (199) imply:
% 243.43/48.07  | | | | | | |   (200)  op2(e23, e21) = all_6_0
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | GROUND_INST: instantiating (42) with e24, all_6_0, e21, e23,
% 243.43/48.07  | | | | | | |              simplifying with (26), (200) gives:
% 243.43/48.07  | | | | | | |   (201)  all_6_0 = e24
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | BETA: splitting (18) gives:
% 243.43/48.07  | | | | | | | 
% 243.43/48.07  | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | |   (202)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 =
% 243.43/48.07  | | | | | | | |            e24 & op2(e23, e20) = e24)
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | BETA: splitting (202) gives:
% 243.43/48.07  | | | | | | | | 
% 243.43/48.07  | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | |   (203)  all_24_16 = e24 & op2(e24, e20) = e24
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | ALPHA: (203) implies:
% 243.43/48.07  | | | | | | | | |   (204)  all_24_16 = e24
% 243.43/48.07  | | | | | | | | |   (205)  op2(e24, e20) = e24
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | BETA: splitting (22) gives:
% 243.43/48.07  | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (206)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 243.43/48.07  | | | | | | | | | |          (all_24_17 = e20 & op2(e23, e20) = e20)
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (42),
% 243.43/48.07  | | | | | | | | | |            (50), (57), (63), (72), (108), (112), (119),
% 243.43/48.07  | | | | | | | | | |            (120), (129), (139), (205), (206) are inconsistent
% 243.43/48.07  | | | | | | | | | |            by sub-proof #328.
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | |   (207)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 243.43/48.07  | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | BETA: splitting (207) gives:
% 243.43/48.07  | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | |   (208)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | ALPHA: (208) implies:
% 243.43/48.07  | | | | | | | | | | |   (209)  all_24_18 = e20
% 243.43/48.07  | | | | | | | | | | |   (210)  op2(e22, e20) = e20
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | BETA: splitting (64) gives:
% 243.43/48.07  | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | |   (211)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 243.43/48.07  | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | |   (212)  all_24_0 = e20 & op2(e24, e24) = e20
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | ALPHA: (212) implies:
% 243.43/48.07  | | | | | | | | | | | | |   (213)  all_24_0 = e20
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (8), (10), (11), (13), (14), (21),
% 243.43/48.07  | | | | | | | | | | | | |            (23), (24), (26), (27), (28), (29), (30), (33),
% 243.43/48.07  | | | | | | | | | | | | |            (34), (37), (38), (40), (42), (44), (46), (48),
% 243.43/48.07  | | | | | | | | | | | | |            (49), (50), (51), (53), (54), (57), (63), (64),
% 243.43/48.07  | | | | | | | | | | | | |            (65), (67), (70), (72), (75), (77), (83), (85),
% 243.43/48.07  | | | | | | | | | | | | |            (86), (87), (89), (90), (95), (97), (98), (100),
% 243.43/48.07  | | | | | | | | | | | | |            (102), (103), (104), (108), (110), (112), (115),
% 243.43/48.07  | | | | | | | | | | | | |            (117), (119), (120), (122), (124), (125), (128),
% 243.43/48.07  | | | | | | | | | | | | |            (129), (133), (134), (135), (136), (139), (204),
% 243.43/48.07  | | | | | | | | | | | | |            (209), (210), (213) are inconsistent by sub-proof
% 243.43/48.07  | | | | | | | | | | | | |            #323.
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | |   (214)  all_24_1 = e20 & op2(e24, e23) = e20
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | REF_CLOSE: (37), (42), (54), (214) are inconsistent by
% 243.43/48.07  | | | | | | | | | | | | |            sub-proof #911.
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | End of split
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | |   (215)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 243.43/48.07  | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 243.43/48.07  | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.43/48.07  | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | |   (216)  all_24_4 = e20 & op2(e24, e22) = e20
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (42), (216) are inconsistent by
% 243.43/48.07  | | | | | | | | | | | | |            sub-proof #909.
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | Case 2:
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | |   (217)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 243.43/48.07  | | | | | | | | | | | | |          (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.43/48.07  | | | | | | | | | | | | | 
% 243.43/48.07  | | | | | | | | | | | | | Case 1:
% 243.43/48.07  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (218)  all_24_9 = e20 & op2(e24, e21) = e20
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | ALPHA: (218) implies:
% 243.43/48.08  | | | | | | | | | | | | | |   (219)  all_24_9 = e20
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | COMBINE_EQS: (51), (219) imply:
% 243.43/48.08  | | | | | | | | | | | | | |   (220)  e23 = e20
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (42),
% 243.43/48.08  | | | | | | | | | | | | | |            (50), (57), (63), (72), (108), (112), (115),
% 243.43/48.08  | | | | | | | | | | | | | |            (119), (120), (129), (139), (220) are inconsistent
% 243.43/48.08  | | | | | | | | | | | | | |            by sub-proof #833.
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (221)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | REF_CLOSE: (21), (42), (205), (221) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | |            sub-proof #343.
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | |   (222)  all_24_19 = e20 & op2(e21, e20) = e20
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | ALPHA: (222) implies:
% 243.43/48.08  | | | | | | | | | | |   (223)  all_24_19 = e20
% 243.43/48.08  | | | | | | | | | | |   (224)  op2(e21, e20) = e20
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | BETA: splitting (15) gives:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (225)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.43/48.08  | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (226)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (29), (30), (33), (34),
% 243.43/48.08  | | | | | | | | | | | | |            (37), (38), (40), (42), (44), (48), (50), (53),
% 243.43/48.08  | | | | | | | | | | | | |            (54), (57), (63), (67), (72), (85), (95), (97),
% 243.43/48.08  | | | | | | | | | | | | |            (98), (102), (108), (112), (115), (119), (120),
% 243.43/48.08  | | | | | | | | | | | | |            (122), (129), (135), (136), (139), (223), (226)
% 243.43/48.08  | | | | | | | | | | | | |            are inconsistent by sub-proof #334.
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (227)  all_24_13 = e21 & op2(e21, e23) = e21
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | REF_CLOSE: (43), (108), (227) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | | |            #322.
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (228)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.43/48.08  | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.43/48.08  | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (229)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | REF_CLOSE: (23), (26), (29), (30), (33), (34), (42), (50),
% 243.43/48.08  | | | | | | | | | | | | |            (57), (72), (112), (115), (119), (120), (129),
% 243.43/48.08  | | | | | | | | | | | | |            (139), (229) are inconsistent by sub-proof #707.
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (230)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.43/48.08  | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (231)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (30), (33), (34), (37), (42),
% 243.43/48.08  | | | | | | | | | | | | | |            (50), (57), (63), (72), (103), (112), (119),
% 243.43/48.08  | | | | | | | | | | | | | |            (120), (129), (133), (139), (181), (231) are
% 243.43/48.08  | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (232)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | ALPHA: (232) implies:
% 243.43/48.08  | | | | | | | | | | | | | |   (233)  op2(e21, e20) = e21
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | REF_CLOSE: (42), (108), (224), (233) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | |            sub-proof #781.
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | |   (234)  all_24_17 = e24 & op2(e23, e20) = e24
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | ALPHA: (234) implies:
% 243.43/48.08  | | | | | | | | |   (235)  all_24_17 = e24
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | REF_CLOSE: (23), (26), (30), (33), (34), (42), (50), (72),
% 243.43/48.08  | | | | | | | | |            (119), (120), (139), (235) are inconsistent by
% 243.43/48.08  | | | | | | | | |            sub-proof #733.
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | 
% 243.43/48.08  | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | 
% 243.43/48.08  | | | | | | | |   (236)  (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 243.43/48.08  | | | | | | | |            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 &
% 243.43/48.08  | | | | | | | |            op2(e20, e20) = e24)
% 243.43/48.08  | | | | | | | | 
% 243.43/48.08  | | | | | | | | BETA: splitting (236) gives:
% 243.43/48.08  | | | | | | | | 
% 243.43/48.08  | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | |   (237)  all_24_18 = e24 & op2(e22, e20) = e24
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | ALPHA: (237) implies:
% 243.43/48.08  | | | | | | | | |   (238)  all_24_18 = e24
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | BETA: splitting (7) gives:
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | |   (239)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 243.43/48.08  | | | | | | | | | |            = e20 & op2(e22, e23) = e20)
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 243.43/48.08  | | | | | | | | | |            (11), (12), (14), (15), (16), (17), (19), (20),
% 243.43/48.08  | | | | | | | | | |            (21), (23), (24), (25), (26), (27), (28), (29),
% 243.43/48.08  | | | | | | | | | |            (30), (31), (32), (33), (34), (35), (36), (38),
% 243.43/48.08  | | | | | | | | | |            (39), (41), (42), (45), (46), (47), (48), (50),
% 243.43/48.08  | | | | | | | | | |            (51), (53), (54), (55), (56), (57), (59), (60),
% 243.43/48.08  | | | | | | | | | |            (61), (62), (63), (64), (65), (66), (70), (72),
% 243.43/48.08  | | | | | | | | | |            (73), (74), (75), (76), (77), (78), (79), (80),
% 243.43/48.08  | | | | | | | | | |            (81), (82), (83), (84), (85), (86), (87), (88),
% 243.43/48.08  | | | | | | | | | |            (90), (91), (92), (93), (95), (96), (97), (98),
% 243.43/48.08  | | | | | | | | | |            (99), (101), (102), (103), (104), (105), (106),
% 243.43/48.08  | | | | | | | | | |            (107), (108), (109), (110), (111), (112), (113),
% 243.43/48.08  | | | | | | | | | |            (114), (115), (116), (117), (118), (119), (120),
% 243.43/48.08  | | | | | | | | | |            (122), (123), (124), (125), (126), (127), (128),
% 243.43/48.08  | | | | | | | | | |            (129), (131), (133), (134), (135), (136), (137),
% 243.43/48.08  | | | | | | | | | |            (138), (139), (239) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | |            #336.
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | |   (240)  (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11
% 243.43/48.08  | | | | | | | | | |            = e20 & op2(e22, e21) = e20) | (all_24_18 = e20 &
% 243.43/48.08  | | | | | | | | | |            op2(e22, e20) = e20)
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | BETA: splitting (240) gives:
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | |   (241)  all_24_8 = e20 & op2(e22, e22) = e20
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.08  | | | | | | | | | | |            (42), (50), (57), (63), (71), (72), (103), (108),
% 243.43/48.08  | | | | | | | | | | |            (112), (119), (120), (129), (139), (241) are
% 243.43/48.08  | | | | | | | | | | |            inconsistent by sub-proof #538.
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | |   (242)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.08  | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | BETA: splitting (242) gives:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (243)  all_24_11 = e20 & op2(e22, e21) = e20
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | ALPHA: (243) implies:
% 243.43/48.08  | | | | | | | | | | | |   (244)  all_24_11 = e20
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | REF_CLOSE: (10), (14), (21), (23), (24), (26), (28), (30),
% 243.43/48.08  | | | | | | | | | | | |            (33), (34), (37), (38), (42), (46), (48), (50),
% 243.43/48.08  | | | | | | | | | | | |            (53), (54), (57), (63), (71), (72), (85), (87),
% 243.43/48.08  | | | | | | | | | | | |            (95), (97), (98), (103), (108), (112), (115),
% 243.43/48.08  | | | | | | | | | | | |            (119), (120), (122), (129), (131), (133), (135),
% 243.43/48.08  | | | | | | | | | | | |            (136), (139), (244) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | |            #331.
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (245)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | ALPHA: (245) implies:
% 243.43/48.08  | | | | | | | | | | | |   (246)  all_24_18 = e20
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | REF_CLOSE: (21), (238), (246) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | |            #321.
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | |   (247)  (all_24_19 = e24 & op2(e21, e20) = e24) | (all_24_24
% 243.43/48.08  | | | | | | | | |            = e24 & op2(e20, e20) = e24)
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | BETA: splitting (247) gives:
% 243.43/48.08  | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | |   (248)  all_24_19 = e24 & op2(e21, e20) = e24
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | ALPHA: (248) implies:
% 243.43/48.08  | | | | | | | | | |   (249)  all_24_19 = e24
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | BETA: splitting (7) gives:
% 243.43/48.08  | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | |   (250)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 243.43/48.08  | | | | | | | | | | |            = e20 & op2(e22, e23) = e20)
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 243.43/48.08  | | | | | | | | | | |            (11), (12), (14), (15), (16), (17), (19), (20),
% 243.43/48.08  | | | | | | | | | | |            (21), (23), (24), (25), (26), (27), (28), (29),
% 243.43/48.08  | | | | | | | | | | |            (30), (31), (32), (33), (34), (35), (36), (38),
% 243.43/48.08  | | | | | | | | | | |            (39), (41), (42), (45), (46), (47), (48), (50),
% 243.43/48.08  | | | | | | | | | | |            (51), (53), (54), (55), (56), (57), (59), (60),
% 243.43/48.08  | | | | | | | | | | |            (61), (62), (63), (64), (65), (66), (70), (72),
% 243.43/48.08  | | | | | | | | | | |            (73), (74), (75), (76), (77), (78), (79), (80),
% 243.43/48.08  | | | | | | | | | | |            (81), (82), (83), (84), (85), (86), (87), (88),
% 243.43/48.08  | | | | | | | | | | |            (90), (91), (92), (93), (95), (96), (97), (98),
% 243.43/48.08  | | | | | | | | | | |            (99), (101), (102), (103), (104), (105), (106),
% 243.43/48.08  | | | | | | | | | | |            (107), (108), (109), (110), (111), (112), (113),
% 243.43/48.08  | | | | | | | | | | |            (114), (115), (116), (117), (118), (119), (120),
% 243.43/48.08  | | | | | | | | | | |            (122), (123), (124), (125), (126), (127), (128),
% 243.43/48.08  | | | | | | | | | | |            (129), (131), (133), (134), (135), (136), (137),
% 243.43/48.08  | | | | | | | | | | |            (138), (139), (250) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | |            #336.
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | |   (251)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 243.43/48.08  | | | | | | | | | | |          (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.08  | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | BETA: splitting (251) gives:
% 243.43/48.08  | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (252)  all_24_8 = e20 & op2(e22, e22) = e20
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.08  | | | | | | | | | | | |            (42), (50), (57), (63), (71), (72), (103), (108),
% 243.43/48.08  | | | | | | | | | | | |            (112), (119), (120), (129), (139), (252) are
% 243.43/48.08  | | | | | | | | | | | |            inconsistent by sub-proof #538.
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | |   (253)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.08  | | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | BETA: splitting (253) gives:
% 243.43/48.08  | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (254)  all_24_11 = e20 & op2(e22, e21) = e20
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | ALPHA: (254) implies:
% 243.43/48.08  | | | | | | | | | | | | |   (255)  all_24_11 = e20
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | REF_CLOSE: (10), (14), (21), (23), (24), (26), (28), (30),
% 243.43/48.08  | | | | | | | | | | | | |            (33), (34), (37), (38), (42), (46), (48), (50),
% 243.43/48.08  | | | | | | | | | | | | |            (53), (54), (57), (63), (71), (72), (85), (87),
% 243.43/48.08  | | | | | | | | | | | | |            (95), (97), (98), (103), (108), (112), (115),
% 243.43/48.08  | | | | | | | | | | | | |            (119), (120), (122), (129), (131), (133), (135),
% 243.43/48.08  | | | | | | | | | | | | |            (136), (139), (255) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | | |            #331.
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | |   (256)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | ALPHA: (256) implies:
% 243.43/48.08  | | | | | | | | | | | | |   (257)  all_24_18 = e20
% 243.43/48.08  | | | | | | | | | | | | |   (258)  op2(e22, e20) = e20
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | BETA: splitting (64) gives:
% 243.43/48.08  | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (259)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 243.43/48.08  | | | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | |   (260)  all_24_0 = e20 & op2(e24, e24) = e20
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 243.43/48.08  | | | | | | | | | | | | | | |   (261)  all_24_0 = e20
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | |   (262)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 243.43/48.08  | | | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (263)  all_24_0 = e24 & op2(e24, e24) = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (264)  all_24_0 = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (14), (21), (23), (26), (28), (30),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (33), (34), (37), (42), (46), (50), (51), (54),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (57), (63), (64), (70), (72), (87), (108), (112),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (115), (119), (120), (129), (139), (264) are
% 243.43/48.08  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #697.
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (265)  all_24_1 = e24 & op2(e24, e23) = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (27), (28), (30), (33), (34),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (37), (42), (43), (44), (50), (54), (57), (63),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (65), (72), (75), (85), (95), (103), (104), (108),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (112), (115), (117), (119), (120), (122), (128),
% 243.43/48.08  | | | | | | | | | | | | | | | | |            (129), (135), (136), (139), (265) are inconsistent
% 243.43/48.08  | | | | | | | | | | | | | | | | |            by sub-proof #760.
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | |   (266)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 243.43/48.08  | | | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 243.43/48.08  | | | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (267)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (268)  all_24_4 = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (269)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e22) = e21)
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |   (270)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (38), (42), (44), (48), (50), (53), (54), (57),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (63), (72), (85), (95), (97), (98), (108), (112),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (115), (119), (120), (122), (129), (135), (136),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (139), (268), (270) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            #706.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |   (271)  all_24_5 = e21 & op2(e23, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (72), (108), (271) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (272)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | | |          (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |   (273)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (30), (33), (34), (37), (42),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (50), (57), (63), (71), (72), (103), (112), (119),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            (120), (129), (133), (139), (273) are inconsistent
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |            by sub-proof #625.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |   (274)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |   (275)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (26), (29), (30), (33), (34), (42), (50),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |            (57), (72), (112), (115), (119), (120), (129),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |            (139), (275) are inconsistent by sub-proof #707.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |   (276)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |   (277)  op2(e20, e22) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (26), (34), (42), (46), (50), (72),
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |            (87), (100), (119), (120), (258), (277) are
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #319.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (278)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 243.43/48.08  | | | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (279)  all_24_9 = e24 & op2(e24, e21) = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (42), (110), (279) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (280)  all_24_16 = e24 & op2(e24, e20) = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (281)  all_24_16 = e24
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (8), (10), (11), (13), (14), (21),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (23), (24), (26), (27), (28), (29), (30), (33),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (34), (37), (38), (40), (42), (44), (46), (48),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (49), (50), (51), (53), (54), (57), (63), (64),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (65), (67), (70), (72), (75), (77), (83), (85),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (86), (87), (89), (90), (95), (97), (98), (100),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (102), (103), (104), (108), (110), (112), (115),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (117), (119), (120), (122), (124), (125), (128),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (129), (133), (134), (135), (136), (139), (257),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (258), (261), (281) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            #323.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | |   (282)  all_24_1 = e20 & op2(e24, e23) = e20
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | REF_CLOSE: (37), (42), (54), (282) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | | |            sub-proof #911.
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | |   (283)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 243.43/48.08  | | | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 243.43/48.08  | | | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 243.43/48.08  | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | |   (284)  all_24_4 = e20 & op2(e24, e22) = e20
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (42), (284) are inconsistent by
% 243.43/48.08  | | | | | | | | | | | | | | |            sub-proof #909.
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | |   (285)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 243.43/48.08  | | | | | | | | | | | | | | |          (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | |   (286)  all_24_9 = e20 & op2(e24, e21) = e20
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (42),
% 243.43/48.08  | | | | | | | | | | | | | | | |            (50), (51), (57), (63), (72), (108), (112), (115),
% 243.43/48.08  | | | | | | | | | | | | | | | |            (119), (120), (129), (139), (286) are inconsistent
% 243.43/48.08  | | | | | | | | | | | | | | | |            by sub-proof #887.
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | |   (287)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | |   (288)  all_24_16 = e20
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (289)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (290)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (288), (290) are inconsistent by sub-proof
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            #497.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (291)  all_24_17 = e21 & op2(e23, e20) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (292)  all_24_17 = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (26), (30), (33), (34), (42), (50), (57),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (72), (112), (119), (120), (129), (139), (292) are
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | End of split
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | |   (293)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.43/48.08  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 243.43/48.08  | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | |   (294)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (26), (34), (42), (46), (50), (63),
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            (72), (87), (119), (120), (294) are inconsistent
% 243.43/48.08  | | | | | | | | | | | | | | | | | |            by sub-proof #797.
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.08  | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.08  | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | |   (295)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.43/48.09  | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.09  | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (296)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (297)  all_24_19 = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (297) imply:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (298)  e24 = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (299)  e24 = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (299) imply:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (300)  all_24_7 = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (28), (30), (33), (34), (37),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (38), (42), (48), (50), (53), (54), (57), (63),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (72), (85), (95), (97), (98), (108), (112), (115),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (119), (120), (122), (129), (135), (136), (139),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (300) are inconsistent by sub-proof #744.
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |   (301)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (26), (30), (33), (34), (37), (42),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (50), (57), (63), (72), (103), (112), (119),
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            (120), (129), (133), (139), (196), (301) are
% 243.43/48.09  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #639.
% 243.43/48.09  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | Case 2:
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | |   (302)  all_24_24 = e24 & op2(e20, e20) = e24
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | ALPHA: (302) implies:
% 243.43/48.09  | | | | | | | | | |   (303)  all_24_24 = e24
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | COMBINE_EQS: (196), (303) imply:
% 243.43/48.09  | | | | | | | | | |   (304)  e24 = e22
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | COMBINE_EQS: (44), (304) imply:
% 243.43/48.09  | | | | | | | | | |   (305)  all_24_7 = e22
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | | REF_CLOSE: (21), (23), (26), (27), (28), (30), (33), (34),
% 243.43/48.09  | | | | | | | | | |            (37), (42), (43), (50), (54), (57), (63), (65),
% 243.43/48.09  | | | | | | | | | |            (72), (75), (85), (95), (103), (104), (108),
% 243.43/48.09  | | | | | | | | | |            (112), (115), (117), (119), (120), (122), (128),
% 243.43/48.09  | | | | | | | | | |            (129), (135), (136), (139), (305) are inconsistent
% 243.43/48.09  | | | | | | | | | |            by sub-proof #761.
% 243.43/48.09  | | | | | | | | | | 
% 243.43/48.09  | | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | | 
% 243.43/48.09  | | | | | | | | End of split
% 243.43/48.09  | | | | | | | | 
% 243.43/48.09  | | | | | | | End of split
% 243.43/48.09  | | | | | | | 
% 243.43/48.09  | | | | | | End of split
% 243.43/48.09  | | | | | | 
% 243.43/48.09  | | | | | End of split
% 243.43/48.09  | | | | | 
% 243.43/48.09  | | | | End of split
% 243.43/48.09  | | | | 
% 243.43/48.09  | | | Case 2:
% 243.43/48.09  | | | | 
% 243.43/48.09  | | | |   (306)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.43/48.09  | | | | 
% 243.43/48.09  | | | | ALPHA: (306) implies:
% 243.43/48.09  | | | |   (307)  all_24_23 = e22
% 243.43/48.09  | | | | 
% 243.43/48.09  | | | | REF_CLOSE: (10), (12), (14), (21), (23), (24), (26), (28), (30), (33),
% 243.43/48.09  | | | |            (34), (37), (38), (42), (46), (48), (50), (51), (52), (53),
% 243.43/48.09  | | | |            (54), (57), (63), (71), (72), (85), (87), (95), (97), (98),
% 243.43/48.09  | | | |            (102), (103), (108), (112), (115), (119), (120), (122),
% 243.43/48.09  | | | |            (129), (131), (133), (135), (136), (139), (307) are
% 243.43/48.09  | | | |            inconsistent by sub-proof #329.
% 243.43/48.09  | | | | 
% 243.43/48.09  | | | End of split
% 243.43/48.09  | | | 
% 243.43/48.09  | | End of split
% 243.43/48.09  | | 
% 243.43/48.09  | End of split
% 243.43/48.09  | 
% 243.43/48.09  End of proof
% 243.43/48.09  
% 243.43/48.09  Sub-proof #319 shows that the following formulas are inconsistent:
% 243.43/48.09  ----------------------------------------------------------------
% 243.43/48.09    (1)  op2(e20, e22) = e21
% 243.43/48.09    (2)  op2(e22, unit2) = e22
% 243.43/48.09    (3)  op2(e23, unit2) = e23
% 243.43/48.09    (4)  op2(e23, e21) = e24
% 243.43/48.09    (5)   ~ (e23 = e22)
% 243.43/48.09    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.09    (7)  op2(e23, e24) = e22
% 243.43/48.09    (8)   ~ (e23 = e20)
% 243.43/48.09    (9)  op2(e23, e22) = e20
% 243.43/48.09    (10)  op2(e22, e20) = e20
% 243.43/48.09    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.09    (12)  op2(unit2, e22) = e22
% 243.43/48.09    (13)   ~ (e24 = e23)
% 243.43/48.09    (14)  op2(e23, e21) = all_10_1
% 243.43/48.09  
% 243.43/48.09  Begin of proof
% 243.43/48.09  | 
% 243.43/48.09  | BETA: splitting (11) gives:
% 243.43/48.09  | 
% 243.43/48.09  | Case 1:
% 243.43/48.09  | | 
% 243.43/48.09  | |   (15)  unit2 = e24
% 243.43/48.09  | | 
% 243.43/48.09  | | REDUCE: (3), (15) imply:
% 243.43/48.09  | |   (16)  op2(e23, e24) = e23
% 243.43/48.09  | | 
% 243.43/48.09  | | REF_CLOSE: (5), (6), (7), (16) are inconsistent by sub-proof #965.
% 243.43/48.09  | | 
% 243.43/48.09  | Case 2:
% 243.43/48.09  | | 
% 243.43/48.09  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.09  | | 
% 243.43/48.09  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (12), (13), (14), (17)
% 243.43/48.09  | |            are inconsistent by sub-proof #320.
% 243.43/48.09  | | 
% 243.43/48.09  | End of split
% 243.43/48.09  | 
% 243.43/48.09  End of proof
% 243.43/48.09  
% 243.43/48.09  Sub-proof #320 shows that the following formulas are inconsistent:
% 243.43/48.09  ----------------------------------------------------------------
% 243.43/48.09    (1)  op2(e20, e22) = e21
% 243.43/48.09    (2)  op2(e22, unit2) = e22
% 243.43/48.09    (3)  op2(e23, unit2) = e23
% 243.43/48.09    (4)  op2(e23, e21) = e24
% 243.43/48.09    (5)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.09    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.09    (7)   ~ (e23 = e20)
% 243.43/48.09    (8)  op2(e23, e22) = e20
% 243.43/48.09    (9)  op2(e22, e20) = e20
% 243.43/48.09    (10)  op2(unit2, e22) = e22
% 243.43/48.09    (11)   ~ (e24 = e23)
% 243.43/48.09    (12)  op2(e23, e21) = all_10_1
% 243.43/48.09  
% 243.43/48.09  Begin of proof
% 243.43/48.09  | 
% 243.43/48.09  | BETA: splitting (5) gives:
% 243.43/48.09  | 
% 243.43/48.09  | Case 1:
% 243.43/48.09  | | 
% 243.43/48.09  | |   (13)  unit2 = e22
% 243.43/48.09  | | 
% 243.43/48.09  | | REDUCE: (3), (13) imply:
% 243.43/48.09  | |   (14)  op2(e23, e22) = e23
% 243.43/48.09  | | 
% 243.43/48.09  | | REF_CLOSE: (6), (7), (8), (14) are inconsistent by sub-proof #1326.
% 243.43/48.09  | | 
% 243.43/48.09  | Case 2:
% 243.43/48.09  | | 
% 243.43/48.09  | |   (15)  unit2 = e21 | unit2 = e20
% 243.43/48.09  | | 
% 243.43/48.09  | | BETA: splitting (15) gives:
% 243.43/48.09  | | 
% 243.43/48.09  | | Case 1:
% 243.43/48.09  | | | 
% 243.43/48.09  | | |   (16)  unit2 = e21
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REDUCE: (3), (16) imply:
% 243.43/48.09  | | |   (17)  op2(e23, e21) = e23
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REF_CLOSE: (4), (6), (11), (12), (17) are inconsistent by sub-proof #957.
% 243.43/48.09  | | | 
% 243.43/48.09  | | Case 2:
% 243.43/48.09  | | | 
% 243.43/48.09  | | |   (18)  unit2 = e20
% 243.43/48.09  | | |   (19)   ~ (unit2 = e21)
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REDUCE: (18), (19) imply:
% 243.43/48.09  | | |   (20)   ~ (e21 = e20)
% 243.43/48.09  | | | 
% 243.43/48.09  | | | SIMP: (20) implies:
% 243.43/48.09  | | |   (21)   ~ (e21 = e20)
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REDUCE: (10), (18) imply:
% 243.43/48.09  | | |   (22)  op2(e20, e22) = e22
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REDUCE: (2), (18) imply:
% 243.43/48.09  | | |   (23)  op2(e22, e20) = e22
% 243.43/48.09  | | | 
% 243.43/48.09  | | | GROUND_INST: instantiating (6) with e21, e22, e22, e20, simplifying with
% 243.43/48.09  | | |              (1), (22) gives:
% 243.43/48.09  | | |   (24)  e22 = e21
% 243.43/48.09  | | | 
% 243.43/48.09  | | | GROUND_INST: instantiating (6) with e20, e22, e20, e22, simplifying with
% 243.43/48.09  | | |              (9), (23) gives:
% 243.43/48.09  | | |   (25)  e22 = e20
% 243.43/48.09  | | | 
% 243.43/48.09  | | | REF_CLOSE: (21), (24), (25) are inconsistent by sub-proof #327.
% 243.43/48.09  | | | 
% 243.43/48.09  | | End of split
% 243.43/48.09  | | 
% 243.43/48.09  | End of split
% 243.43/48.09  | 
% 243.43/48.09  End of proof
% 243.43/48.09  
% 243.43/48.09  Sub-proof #321 shows that the following formulas are inconsistent:
% 243.43/48.09  ----------------------------------------------------------------
% 243.43/48.09    (1)  all_24_18 = e24
% 243.43/48.09    (2)  all_24_18 = e20
% 243.43/48.09    (3)   ~ (e24 = e20)
% 243.43/48.09  
% 243.43/48.09  Begin of proof
% 243.43/48.09  | 
% 243.43/48.09  | COMBINE_EQS: (1), (2) imply:
% 243.43/48.09  |   (4)  e24 = e20
% 243.43/48.09  | 
% 243.43/48.09  | SIMP: (4) implies:
% 243.43/48.09  |   (5)  e24 = e20
% 243.43/48.09  | 
% 243.43/48.09  | REDUCE: (3), (5) imply:
% 243.43/48.09  |   (6)  $false
% 243.43/48.09  | 
% 243.43/48.09  | CLOSE: (6) is inconsistent.
% 243.43/48.09  | 
% 243.43/48.09  End of proof
% 243.43/48.09  
% 243.43/48.09  Sub-proof #322 shows that the following formulas are inconsistent:
% 243.43/48.09  ----------------------------------------------------------------
% 243.43/48.09    (1)  all_24_13 = e21 & op2(e21, e23) = e21
% 243.43/48.09    (2)  all_24_13 = e20
% 243.43/48.09    (3)   ~ (e21 = e20)
% 243.43/48.09  
% 243.43/48.09  Begin of proof
% 243.43/48.09  | 
% 243.43/48.09  | ALPHA: (1) implies:
% 243.43/48.09  |   (4)  all_24_13 = e21
% 243.43/48.09  | 
% 243.43/48.09  | COMBINE_EQS: (2), (4) imply:
% 243.43/48.09  |   (5)  e21 = e20
% 243.43/48.09  | 
% 243.43/48.09  | SIMP: (5) implies:
% 243.43/48.09  |   (6)  e21 = e20
% 243.43/48.09  | 
% 243.43/48.09  | REDUCE: (3), (6) imply:
% 243.43/48.09  |   (7)  $false
% 243.43/48.09  | 
% 243.43/48.09  | CLOSE: (7) is inconsistent.
% 243.43/48.09  | 
% 243.43/48.09  End of proof
% 243.43/48.09  
% 243.43/48.09  Sub-proof #323 shows that the following formulas are inconsistent:
% 243.43/48.09  ----------------------------------------------------------------
% 243.43/48.09    (1)  op2(e24, e22) = all_16_10
% 243.43/48.09    (2)  all_24_16 = e24
% 243.43/48.09    (3)   ~ (all_16_10 = e20)
% 243.43/48.09    (4)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.43/48.09             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.43/48.09           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.09    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.43/48.09           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.43/48.09           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.43/48.09    (6)  op2(e22, unit2) = e22
% 243.43/48.09    (7)   ~ (all_16_15 = e24)
% 243.43/48.09    (8)  op2(unit2, e24) = e24
% 243.43/48.09    (9)  op2(e23, unit2) = e23
% 243.43/48.09    (10)   ~ (e24 = e20)
% 243.43/48.09    (11)   ~ (e23 = e21)
% 243.43/48.09    (12)  all_24_6 = e23
% 243.43/48.09    (13)  op2(e23, e21) = e24
% 243.43/48.09    (14)   ~ (all_16_1 = e21)
% 243.43/48.09    (15)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.09            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.09            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.09    (16)  all_24_14 = e23
% 243.43/48.09    (17)  op2(e23, e23) = e21
% 243.43/48.09    (18)  all_24_2 = e22
% 243.43/48.09    (19)   ~ (e23 = e22)
% 243.43/48.09    (20)  all_24_0 = e20
% 243.43/48.09    (21)   ~ (e22 = e20)
% 243.43/48.09    (22)  op2(e21, e23) = all_16_8
% 243.43/48.09    (23)   ~ (all_6_2 = e24)
% 243.43/48.09    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.09            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.09    (25)  all_24_7 = e24
% 243.43/48.09    (26)  op2(e23, e24) = e22
% 243.43/48.09    (27)  all_24_21 = e23
% 243.43/48.09    (28)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.43/48.09            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.43/48.09            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.43/48.09    (29)   ~ (e23 = e20)
% 243.43/48.09    (30)  all_24_9 = e23
% 243.43/48.09    (31)   ~ (all_16_7 = e23)
% 243.43/48.09    (32)  op2(e24, e23) = e22
% 243.43/48.09    (33)   ~ (e24 = e21)
% 243.43/48.09    (34)   ~ (e22 = e21)
% 243.43/48.09    (35)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.43/48.09            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.43/48.09            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.43/48.09    (36)   ~ (all_16_1 = e20)
% 243.43/48.09    (37)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.43/48.09              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 243.43/48.09            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.43/48.09    (38)  op2(e24, unit2) = e24
% 243.43/48.09    (39)  op2(e23, e22) = e20
% 243.43/48.09    (40)   ~ (all_16_1 = e23)
% 243.43/48.09    (41)  op2(e22, e20) = e20
% 243.43/48.09    (42)   ~ (all_16_20 = e22)
% 243.43/48.09    (43)  op2(e24, e20) = all_16_20
% 243.43/48.09    (44)  all_24_1 = e22
% 243.43/48.09    (45)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.43/48.09            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.43/48.09            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.43/48.09    (46)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.09    (47)   ~ (all_4_2 = e24)
% 243.43/48.09    (48)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 243.43/48.09            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.43/48.09            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.43/48.09    (49)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.09            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.09            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.09    (50)   ~ (all_16_8 = e23)
% 243.43/48.09    (51)  op2(e22, e23) = all_16_7
% 243.43/48.09    (52)  op2(unit2, e22) = e22
% 243.43/48.09    (53)  op2(e21, e21) = all_6_2
% 243.43/48.09    (54)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.09            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.09            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.09    (55)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.43/48.09    (56)   ~ (e21 = e20)
% 243.43/48.09    (57)  op2(e24, e21) = all_16_15
% 243.43/48.09    (58)   ~ (e24 = e22)
% 243.43/48.09    (59)  all_24_17 = e23
% 243.43/48.09    (60)  op2(e23, e24) = all_16_1
% 243.43/48.09    (61)   ~ (e24 = e23)
% 243.43/48.09    (62)  op2(e23, e21) = all_10_1
% 243.43/48.09    (63)  all_24_18 = e20
% 243.43/48.09    (64)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.09            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.43/48.09            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.09    (65)  op2(e21, unit2) = e21
% 243.43/48.09    (66)  op2(e22, e22) = all_4_2
% 243.43/48.09    (67)  all_20_5 = all_16_1
% 243.43/48.09    (68)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.09    (69)  all_24_5 = e20
% 243.43/48.10    (70)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.43/48.10              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 243.43/48.10            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.10    (71)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.43/48.10            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.43/48.10            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.10    (72)  all_24_3 = e21
% 243.43/48.10    (73)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.10  
% 243.43/48.10  Begin of proof
% 243.43/48.10  | 
% 243.43/48.10  | BETA: splitting (70) gives:
% 243.43/48.10  | 
% 243.43/48.10  | Case 1:
% 243.43/48.10  | | 
% 243.43/48.10  | |   (74)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 243.43/48.10  | |           op2(e23, e20) = e21)
% 243.43/48.10  | | 
% 243.43/48.10  | | REF_CLOSE: (2), (10), (11), (13), (15), (17), (18), (19), (21), (22), (24),
% 243.43/48.10  | |            (25), (27), (29), (31), (32), (33), (34), (39), (44), (49), (50),
% 243.43/48.10  | |            (51), (56), (58), (59), (61), (62), (64), (68), (71), (72), (73),
% 243.43/48.10  | |            (74) are inconsistent by sub-proof #647.
% 243.43/48.10  | | 
% 243.43/48.10  | Case 2:
% 243.43/48.10  | | 
% 243.43/48.10  | |   (75)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 243.43/48.10  | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.10  | | 
% 243.43/48.10  | | BETA: splitting (75) gives:
% 243.43/48.10  | | 
% 243.43/48.10  | | Case 1:
% 243.43/48.10  | | | 
% 243.43/48.10  | | |   (76)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.43/48.10  | | | 
% 243.43/48.10  | | | REF_CLOSE: (6), (9), (13), (19), (24), (26), (29), (34), (39), (46), (61),
% 243.43/48.10  | | |            (62), (76) are inconsistent by sub-proof #797.
% 243.43/48.10  | | | 
% 243.43/48.10  | | Case 2:
% 243.43/48.10  | | | 
% 243.43/48.10  | | |   (77)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 243.43/48.10  | | |           op2(e20, e20) = e21)
% 243.43/48.10  | | | 
% 243.43/48.10  | | | BETA: splitting (77) gives:
% 243.43/48.10  | | | 
% 243.43/48.10  | | | Case 1:
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | |   (78)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | ALPHA: (78) implies:
% 243.43/48.10  | | | |   (79)  all_24_19 = e21
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | BETA: splitting (37) gives:
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | Case 1:
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | |   (80)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 &
% 243.43/48.10  | | | | |           op2(e21, e23) = e24)
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | | BETA: splitting (80) gives:
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | | Case 1:
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | |   (81)  all_24_12 = e24 & op2(e21, e24) = e24
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | ALPHA: (81) implies:
% 243.43/48.10  | | | | | |   (82)  all_24_12 = e24
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | BETA: splitting (28) gives:
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | Case 1:
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | |   (83)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 &
% 243.43/48.10  | | | | | | |           op2(e24, e23) = e21)
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | | BETA: splitting (83) gives:
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | |   (84)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | REF_CLOSE: (1), (3), (9), (10), (11), (13), (15), (17), (18),
% 243.43/48.10  | | | | | | | |            (19), (21), (24), (26), (29), (30), (32), (33), (34),
% 243.43/48.10  | | | | | | | |            (35), (38), (39), (46), (56), (58), (59), (61), (62),
% 243.43/48.10  | | | | | | | |            (68), (73), (84) are inconsistent by sub-proof #883.
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | |   (85)  all_24_1 = e21 & op2(e24, e23) = e21
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | REF_CLOSE: (24), (32), (34), (85) are inconsistent by sub-proof
% 243.43/48.10  | | | | | | | |            #866.
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | End of split
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | Case 2:
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | |   (86)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.43/48.10  | | | | | | |           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20)
% 243.43/48.10  | | | | | | |           = e21)
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | | BETA: splitting (86) gives:
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | |   (87)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | ALPHA: (87) implies:
% 243.43/48.10  | | | | | | | |   (88)  all_24_4 = e21
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | BETA: splitting (5) gives:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | |   (89)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 =
% 243.43/48.10  | | | | | | | | |           e21 & op2(e23, e24) = e21)
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | REF_CLOSE: (1), (3), (9), (10), (11), (13), (15), (17), (18),
% 243.43/48.10  | | | | | | | | |            (19), (21), (24), (26), (29), (30), (32), (33),
% 243.43/48.10  | | | | | | | | |            (34), (35), (38), (39), (46), (54), (56), (58),
% 243.43/48.10  | | | | | | | | |            (59), (61), (62), (68), (69), (73), (89) are
% 243.43/48.10  | | | | | | | | |            inconsistent by sub-proof #882.
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | |   (90)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 =
% 243.43/48.10  | | | | | | | | |           e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 243.43/48.10  | | | | | | | | |           op2(e20, e24) = e21)
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | BETA: splitting (90) gives:
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | |   (91)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | REF_CLOSE: (11), (12), (13), (17), (18), (19), (24), (29),
% 243.43/48.10  | | | | | | | | | |            (33), (39), (58), (59), (61), (62), (68), (73),
% 243.43/48.10  | | | | | | | | | |            (91) are inconsistent by sub-proof #355.
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | |   (92)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20
% 243.43/48.10  | | | | | | | | | |           = e21 & op2(e20, e24) = e21)
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | BETA: splitting (92) gives:
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | |   (93)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | ALPHA: (93) implies:
% 243.43/48.10  | | | | | | | | | | |   (94)  all_24_12 = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | COMBINE_EQS: (82), (94) imply:
% 243.43/48.10  | | | | | | | | | | |   (95)  e24 = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | SIMP: (95) implies:
% 243.43/48.10  | | | | | | | | | | |   (96)  e24 = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | COMBINE_EQS: (25), (96) imply:
% 243.43/48.10  | | | | | | | | | | |   (97)  all_24_7 = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (15), (17), (18), (19), (21),
% 243.43/48.10  | | | | | | | | | | |            (22), (24), (27), (29), (31), (32), (33), (34),
% 243.43/48.10  | | | | | | | | | | |            (39), (44), (49), (50), (51), (56), (58), (59),
% 243.43/48.10  | | | | | | | | | | |            (61), (62), (64), (68), (71), (72), (73), (97) are
% 243.43/48.10  | | | | | | | | | | |            inconsistent by sub-proof #744.
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | |   (98)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | ALPHA: (98) implies:
% 243.43/48.10  | | | | | | | | | | |   (99)  op2(e20, e24) = e21
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | BETA: splitting (48) gives:
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | |   (100)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 243.43/48.10  | | | | | | | | | | | |            = e24 & op2(e23, e22) = e24)
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | BETA: splitting (100) gives:
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | |   (101)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (15), (17), (18), (19), (21),
% 243.43/48.10  | | | | | | | | | | | | |            (22), (24), (25), (27), (29), (31), (32), (33),
% 243.43/48.10  | | | | | | | | | | | | |            (34), (39), (44), (49), (50), (51), (56), (58),
% 243.43/48.10  | | | | | | | | | | | | |            (59), (61), (62), (64), (68), (71), (72), (73),
% 243.43/48.10  | | | | | | | | | | | | |            (88), (101) are inconsistent by sub-proof #711.
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | |   (102)  all_24_5 = e24 & op2(e23, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | ALPHA: (102) implies:
% 243.43/48.10  | | | | | | | | | | | | |   (103)  all_24_5 = e24
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | COMBINE_EQS: (69), (103) imply:
% 243.43/48.10  | | | | | | | | | | | | |   (104)  e24 = e20
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | COMBINE_EQS: (2), (104) imply:
% 243.43/48.10  | | | | | | | | | | | | |   (105)  all_24_16 = e20
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | REF_CLOSE: (7), (10), (11), (13), (17), (18), (19), (20),
% 243.43/48.10  | | | | | | | | | | | | |            (24), (28), (29), (30), (32), (33), (34), (39),
% 243.43/48.10  | | | | | | | | | | | | |            (44), (45), (56), (57), (58), (59), (61), (62),
% 243.43/48.10  | | | | | | | | | | | | |            (68), (73), (105) are inconsistent by sub-proof
% 243.43/48.10  | | | | | | | | | | | | |            #339.
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | |   (106)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 243.43/48.10  | | | | | | | | | | | |          (all_24_14 = e24 & op2(e21, e22) = e24) |
% 243.43/48.10  | | | | | | | | | | | |          (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | BETA: splitting (106) gives:
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | |   (107)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | REF_CLOSE: (24), (47), (66), (107) are inconsistent by
% 243.43/48.10  | | | | | | | | | | | | |            sub-proof #705.
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | |   (108)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 243.43/48.10  | | | | | | | | | | | | |          (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | BETA: splitting (108) gives:
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | |   (109)  all_24_14 = e24 & op2(e21, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | | REF_CLOSE: (16), (61), (109) are inconsistent by sub-proof
% 243.43/48.10  | | | | | | | | | | | | | |            #502.
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | |   (110)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | | ALPHA: (110) implies:
% 243.43/48.10  | | | | | | | | | | | | | |   (111)  op2(e20, e22) = e24
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (13), (19), (24), (26), (29), (39),
% 243.43/48.10  | | | | | | | | | | | | | |            (41), (46), (52), (61), (62), (99), (111) are
% 243.43/48.10  | | | | | | | | | | | | | |            inconsistent by sub-proof #326.
% 243.43/48.10  | | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | |   (112)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 =
% 243.43/48.10  | | | | | | | |            e21 & op2(e24, e20) = e21)
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | BETA: splitting (112) gives:
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | | Case 1:
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | |   (113)  all_24_9 = e21 & op2(e24, e21) = e21
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | REF_CLOSE: (11), (13), (17), (18), (19), (24), (29), (30),
% 243.43/48.10  | | | | | | | | |            (33), (39), (58), (59), (61), (62), (68), (73),
% 243.43/48.10  | | | | | | | | |            (113) are inconsistent by sub-proof #864.
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | Case 2:
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | |   (114)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | ALPHA: (114) implies:
% 243.43/48.10  | | | | | | | | |   (115)  all_24_16 = e21
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | | REF_CLOSE: (2), (10), (11), (13), (15), (17), (18), (19),
% 243.43/48.10  | | | | | | | | |            (21), (22), (24), (25), (27), (29), (31), (32),
% 243.43/48.10  | | | | | | | | |            (33), (34), (39), (44), (49), (50), (51), (56),
% 243.43/48.10  | | | | | | | | |            (58), (59), (61), (62), (64), (68), (71), (72),
% 243.43/48.10  | | | | | | | | |            (73), (115) are inconsistent by sub-proof #651.
% 243.43/48.10  | | | | | | | | | 
% 243.43/48.10  | | | | | | | | End of split
% 243.43/48.10  | | | | | | | | 
% 243.43/48.10  | | | | | | | End of split
% 243.43/48.10  | | | | | | | 
% 243.43/48.10  | | | | | | End of split
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | Case 2:
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | |   (116)  all_24_13 = e24 & op2(e21, e23) = e24
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | ALPHA: (116) implies:
% 243.43/48.10  | | | | | |   (117)  all_24_13 = e24
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | REF_CLOSE: (10), (11), (13), (15), (17), (18), (19), (21), (24),
% 243.43/48.10  | | | | | |            (25), (27), (29), (32), (33), (34), (39), (56), (58),
% 243.43/48.10  | | | | | |            (59), (61), (62), (68), (71), (73), (117) are
% 243.43/48.10  | | | | | |            inconsistent by sub-proof #831.
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | End of split
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | Case 2:
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | |   (118)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 &
% 243.43/48.10  | | | | |            op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) =
% 243.43/48.10  | | | | |            e24)
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | | BETA: splitting (118) gives:
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | | Case 1:
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | |   (119)  all_24_14 = e24 & op2(e21, e22) = e24
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | REF_CLOSE: (16), (61), (119) are inconsistent by sub-proof #709.
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | Case 2:
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | |   (120)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24
% 243.43/48.10  | | | | | |            & op2(e21, e20) = e24)
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | | REF_CLOSE: (10), (11), (13), (15), (17), (18), (19), (21), (22),
% 243.43/48.10  | | | | | |            (23), (24), (25), (27), (29), (31), (32), (33), (34),
% 243.43/48.10  | | | | | |            (39), (44), (49), (50), (51), (53), (56), (58), (59),
% 243.43/48.10  | | | | | |            (61), (62), (64), (68), (71), (72), (73), (79), (120) are
% 243.43/48.10  | | | | | |            inconsistent by sub-proof #325.
% 243.43/48.10  | | | | | | 
% 243.43/48.10  | | | | | End of split
% 243.43/48.10  | | | | | 
% 243.43/48.10  | | | | End of split
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | Case 2:
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | |   (121)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | REF_CLOSE: (4), (6), (9), (11), (13), (14), (17), (19), (21), (24),
% 243.43/48.10  | | | |            (26), (29), (34), (36), (39), (40), (41), (42), (43), (46),
% 243.43/48.10  | | | |            (55), (60), (61), (62), (63), (65), (67), (73), (121) are
% 243.43/48.10  | | | |            inconsistent by sub-proof #324.
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | End of split
% 243.43/48.10  | | | 
% 243.43/48.10  | | End of split
% 243.43/48.10  | | 
% 243.43/48.10  | End of split
% 243.43/48.10  | 
% 243.43/48.10  End of proof
% 243.43/48.10  
% 243.43/48.10  Sub-proof #324 shows that the following formulas are inconsistent:
% 243.43/48.10  ----------------------------------------------------------------
% 243.43/48.10    (1)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.43/48.10             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.43/48.10           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.10    (2)  op2(e22, unit2) = e22
% 243.43/48.10    (3)  op2(e23, unit2) = e23
% 243.43/48.10    (4)   ~ (e23 = e21)
% 243.43/48.10    (5)  op2(e23, e21) = e24
% 243.43/48.10    (6)   ~ (all_16_1 = e21)
% 243.43/48.10    (7)  op2(e23, e23) = e21
% 243.43/48.10    (8)   ~ (e23 = e22)
% 243.43/48.10    (9)   ~ (e22 = e20)
% 243.43/48.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.10    (11)  op2(e23, e24) = e22
% 243.43/48.10    (12)   ~ (e23 = e20)
% 243.43/48.10    (13)   ~ (e22 = e21)
% 243.43/48.10    (14)   ~ (all_16_1 = e20)
% 243.43/48.10    (15)  op2(e23, e22) = e20
% 243.43/48.10    (16)   ~ (all_16_1 = e23)
% 243.43/48.10    (17)  op2(e22, e20) = e20
% 243.43/48.10    (18)   ~ (all_16_20 = e22)
% 243.43/48.10    (19)  op2(e24, e20) = all_16_20
% 243.43/48.10    (20)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.10    (21)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.43/48.10    (22)  op2(e23, e24) = all_16_1
% 243.43/48.10    (23)   ~ (e24 = e23)
% 243.43/48.10    (24)  op2(e23, e21) = all_10_1
% 243.43/48.10    (25)  all_24_18 = e20
% 243.43/48.10    (26)  op2(e21, unit2) = e21
% 243.43/48.10    (27)  all_20_5 = all_16_1
% 243.43/48.10    (28)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.43/48.10    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.10  
% 243.43/48.10  Begin of proof
% 243.43/48.10  | 
% 243.43/48.10  | ALPHA: (28) implies:
% 243.43/48.10  |   (30)  all_24_24 = e21
% 243.43/48.10  | 
% 243.43/48.10  | BETA: splitting (1) gives:
% 243.43/48.10  | 
% 243.43/48.10  | Case 1:
% 243.43/48.10  | | 
% 243.43/48.10  | |   (31)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 243.43/48.10  | |           op2(e23, e20) = e22)
% 243.43/48.10  | | 
% 243.43/48.10  | | REF_CLOSE: (4), (5), (6), (7), (8), (10), (12), (14), (15), (16), (18),
% 243.43/48.10  | |            (19), (21), (22), (23), (24), (27), (29), (31) are inconsistent
% 243.43/48.10  | |            by sub-proof #805.
% 243.43/48.10  | | 
% 243.43/48.10  | Case 2:
% 243.43/48.10  | | 
% 243.43/48.10  | |   (32)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 243.43/48.10  | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.10  | | 
% 243.43/48.10  | | BETA: splitting (32) gives:
% 243.43/48.10  | | 
% 243.43/48.10  | | Case 1:
% 243.43/48.10  | | | 
% 243.43/48.10  | | |   (33)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.43/48.10  | | | 
% 243.43/48.10  | | | ALPHA: (33) implies:
% 243.43/48.10  | | |   (34)  all_24_18 = e22
% 243.43/48.10  | | | 
% 243.43/48.10  | | | COMBINE_EQS: (25), (34) imply:
% 243.43/48.10  | | |   (35)  e22 = e20
% 243.43/48.10  | | | 
% 243.43/48.10  | | | SIMP: (35) implies:
% 243.43/48.10  | | |   (36)  e22 = e20
% 243.43/48.10  | | | 
% 243.43/48.10  | | | REDUCE: (9), (36) imply:
% 243.43/48.10  | | |   (37)  $false
% 243.43/48.10  | | | 
% 243.43/48.10  | | | CLOSE: (37) is inconsistent.
% 243.43/48.10  | | | 
% 243.43/48.10  | | Case 2:
% 243.43/48.10  | | | 
% 243.43/48.10  | | |   (38)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 243.43/48.10  | | |           op2(e20, e20) = e22)
% 243.43/48.10  | | | 
% 243.43/48.10  | | | BETA: splitting (38) gives:
% 243.43/48.10  | | | 
% 243.43/48.10  | | | Case 1:
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | |   (39)  all_24_19 = e22 & op2(e21, e20) = e22
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | ALPHA: (39) implies:
% 243.43/48.10  | | | |   (40)  op2(e21, e20) = e22
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | REF_CLOSE: (2), (3), (5), (8), (10), (11), (12), (15), (17), (20), (23),
% 243.43/48.10  | | | |            (24), (26), (40) are inconsistent by sub-proof #536.
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | Case 2:
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | |   (41)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | ALPHA: (41) implies:
% 243.43/48.10  | | | |   (42)  all_24_24 = e22
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | COMBINE_EQS: (30), (42) imply:
% 243.43/48.10  | | | |   (43)  e22 = e21
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | REDUCE: (13), (43) imply:
% 243.43/48.10  | | | |   (44)  $false
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | | CLOSE: (44) is inconsistent.
% 243.43/48.10  | | | | 
% 243.43/48.10  | | | End of split
% 243.43/48.10  | | | 
% 243.43/48.10  | | End of split
% 243.43/48.10  | | 
% 243.43/48.10  | End of split
% 243.43/48.10  | 
% 243.43/48.10  End of proof
% 243.43/48.10  
% 243.43/48.10  Sub-proof #325 shows that the following formulas are inconsistent:
% 243.43/48.10  ----------------------------------------------------------------
% 243.43/48.10    (1)   ~ (e24 = e20)
% 243.43/48.10    (2)   ~ (e23 = e21)
% 243.43/48.10    (3)  op2(e23, e21) = e24
% 243.43/48.10    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.10           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.10           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.10    (5)  op2(e23, e23) = e21
% 243.43/48.10    (6)  all_24_2 = e22
% 243.43/48.10    (7)   ~ (e23 = e22)
% 243.43/48.10    (8)   ~ (e22 = e20)
% 243.43/48.10    (9)  op2(e21, e23) = all_16_8
% 243.43/48.10    (10)   ~ (all_6_2 = e24)
% 243.43/48.11    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.11            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.11    (12)  all_24_7 = e24
% 243.43/48.11    (13)  all_24_21 = e23
% 243.43/48.11    (14)   ~ (e23 = e20)
% 243.43/48.11    (15)   ~ (all_16_7 = e23)
% 243.43/48.11    (16)  op2(e24, e23) = e22
% 243.43/48.11    (17)   ~ (e24 = e21)
% 243.43/48.11    (18)   ~ (e22 = e21)
% 243.43/48.11    (19)  op2(e23, e22) = e20
% 243.43/48.11    (20)  all_24_1 = e22
% 243.43/48.11    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.11            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.11            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.11    (22)   ~ (all_16_8 = e23)
% 243.43/48.11    (23)  op2(e22, e23) = all_16_7
% 243.43/48.11    (24)  op2(e21, e21) = all_6_2
% 243.43/48.11    (25)   ~ (e21 = e20)
% 243.43/48.11    (26)   ~ (e24 = e22)
% 243.43/48.11    (27)  all_24_17 = e23
% 243.43/48.11    (28)   ~ (e24 = e23)
% 243.43/48.11    (29)  op2(e23, e21) = all_10_1
% 243.43/48.11    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.11            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.43/48.11            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.11    (31)  all_24_19 = e21
% 243.43/48.11    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.11            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.11            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.11    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.43/48.11            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.43/48.11            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.11    (34)  all_24_3 = e21
% 243.43/48.11    (35)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21,
% 243.43/48.11              e20) = e24)
% 243.43/48.11    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.11            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.11            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.11  
% 243.43/48.11  Begin of proof
% 243.43/48.11  | 
% 243.43/48.11  | BETA: splitting (35) gives:
% 243.43/48.11  | 
% 243.43/48.11  | Case 1:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (37)  all_24_15 = e24 & op2(e21, e21) = e24
% 243.43/48.11  | | 
% 243.43/48.11  | | REF_CLOSE: (10), (11), (24), (37) are inconsistent by sub-proof #738.
% 243.43/48.11  | | 
% 243.43/48.11  | Case 2:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (38)  all_24_19 = e24 & op2(e21, e20) = e24
% 243.43/48.11  | | 
% 243.43/48.11  | | ALPHA: (38) implies:
% 243.43/48.11  | |   (39)  all_24_19 = e24
% 243.43/48.11  | | 
% 243.43/48.11  | | COMBINE_EQS: (31), (39) imply:
% 243.43/48.11  | |   (40)  e24 = e21
% 243.43/48.11  | | 
% 243.43/48.11  | | COMBINE_EQS: (12), (40) imply:
% 243.43/48.11  | |   (41)  all_24_7 = e21
% 243.43/48.11  | | 
% 243.43/48.11  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14),
% 243.43/48.11  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25), (26),
% 243.43/48.11  | |            (27), (28), (29), (30), (32), (33), (34), (36), (41) are
% 243.43/48.11  | |            inconsistent by sub-proof #744.
% 243.43/48.11  | | 
% 243.43/48.11  | End of split
% 243.43/48.11  | 
% 243.43/48.11  End of proof
% 243.43/48.11  
% 243.43/48.11  Sub-proof #326 shows that the following formulas are inconsistent:
% 243.43/48.11  ----------------------------------------------------------------
% 243.43/48.11    (1)  op2(e22, unit2) = e22
% 243.43/48.11    (2)  op2(unit2, e24) = e24
% 243.43/48.11    (3)  op2(e23, unit2) = e23
% 243.43/48.11    (4)  op2(e23, e21) = e24
% 243.43/48.11    (5)   ~ (e23 = e22)
% 243.43/48.11    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.11    (7)  op2(e23, e24) = e22
% 243.43/48.11    (8)   ~ (e23 = e20)
% 243.43/48.11    (9)  op2(e23, e22) = e20
% 243.43/48.11    (10)  op2(e22, e20) = e20
% 243.43/48.11    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.11    (12)  op2(e20, e22) = e24
% 243.43/48.11    (13)  op2(unit2, e22) = e22
% 243.43/48.11    (14)   ~ (e24 = e23)
% 243.43/48.11    (15)  op2(e23, e21) = all_10_1
% 243.43/48.11    (16)  op2(e20, e24) = e21
% 243.43/48.11  
% 243.43/48.11  Begin of proof
% 243.43/48.11  | 
% 243.43/48.11  | BETA: splitting (11) gives:
% 243.43/48.11  | 
% 243.43/48.11  | Case 1:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (17)  unit2 = e24
% 243.43/48.11  | | 
% 243.43/48.11  | | REDUCE: (3), (17) imply:
% 243.43/48.11  | |   (18)  op2(e23, e24) = e23
% 243.43/48.11  | | 
% 243.43/48.11  | | REF_CLOSE: (5), (6), (7), (18) are inconsistent by sub-proof #965.
% 243.43/48.11  | | 
% 243.43/48.11  | Case 2:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (19)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.11  | | 
% 243.43/48.11  | | BETA: splitting (19) gives:
% 243.43/48.11  | | 
% 243.43/48.11  | | Case 1:
% 243.43/48.11  | | | 
% 243.43/48.11  | | |   (20)  unit2 = e22
% 243.43/48.11  | | | 
% 243.43/48.11  | | | REDUCE: (3), (20) imply:
% 243.43/48.11  | | |   (21)  op2(e23, e22) = e23
% 243.43/48.11  | | | 
% 243.43/48.11  | | | REF_CLOSE: (6), (8), (9), (21) are inconsistent by sub-proof #1326.
% 243.43/48.11  | | | 
% 243.43/48.11  | | Case 2:
% 243.43/48.11  | | | 
% 243.43/48.11  | | |   (22)  unit2 = e21 | unit2 = e20
% 243.43/48.11  | | | 
% 243.43/48.11  | | | BETA: splitting (22) gives:
% 243.43/48.11  | | | 
% 243.43/48.11  | | | Case 1:
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | |   (23)  unit2 = e21
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REDUCE: (3), (23) imply:
% 243.43/48.11  | | | |   (24)  op2(e23, e21) = e23
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REF_CLOSE: (4), (6), (14), (15), (24) are inconsistent by sub-proof
% 243.43/48.11  | | | |            #957.
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | Case 2:
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | |   (25)  unit2 = e20
% 243.43/48.11  | | | |   (26)   ~ (unit2 = e21)
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REDUCE: (25), (26) imply:
% 243.43/48.11  | | | |   (27)   ~ (e21 = e20)
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | SIMP: (27) implies:
% 243.43/48.11  | | | |   (28)   ~ (e21 = e20)
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REDUCE: (2), (25) imply:
% 243.43/48.11  | | | |   (29)  op2(e20, e24) = e24
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REDUCE: (13), (25) imply:
% 243.43/48.11  | | | |   (30)  op2(e20, e22) = e22
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REDUCE: (1), (25) imply:
% 243.43/48.11  | | | |   (31)  op2(e22, e20) = e22
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | GROUND_INST: instantiating (6) with e24, e22, e22, e20, simplifying with
% 243.43/48.11  | | | |              (12), (30) gives:
% 243.43/48.11  | | | |   (32)  e24 = e22
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | GROUND_INST: instantiating (6) with e21, e24, e24, e20, simplifying with
% 243.43/48.11  | | | |              (16), (29) gives:
% 243.43/48.11  | | | |   (33)  e24 = e21
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | GROUND_INST: instantiating (6) with e20, e22, e20, e22, simplifying with
% 243.43/48.11  | | | |              (10), (31) gives:
% 243.43/48.11  | | | |   (34)  e22 = e20
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | COMBINE_EQS: (32), (33) imply:
% 243.43/48.11  | | | |   (35)  e22 = e21
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | SIMP: (35) implies:
% 243.43/48.11  | | | |   (36)  e22 = e21
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | | REF_CLOSE: (28), (34), (36) are inconsistent by sub-proof #327.
% 243.43/48.11  | | | | 
% 243.43/48.11  | | | End of split
% 243.43/48.11  | | | 
% 243.43/48.11  | | End of split
% 243.43/48.11  | | 
% 243.43/48.11  | End of split
% 243.43/48.11  | 
% 243.43/48.11  End of proof
% 243.43/48.11  
% 243.43/48.11  Sub-proof #327 shows that the following formulas are inconsistent:
% 243.43/48.11  ----------------------------------------------------------------
% 243.43/48.11    (1)  e22 = e21
% 243.43/48.11    (2)  e22 = e20
% 243.43/48.11    (3)   ~ (e21 = e20)
% 243.43/48.11  
% 243.43/48.11  Begin of proof
% 243.43/48.11  | 
% 243.43/48.11  | COMBINE_EQS: (1), (2) imply:
% 243.43/48.11  |   (4)  e21 = e20
% 243.43/48.11  | 
% 243.43/48.11  | SIMP: (4) implies:
% 243.43/48.11  |   (5)  e21 = e20
% 243.43/48.11  | 
% 243.43/48.11  | REDUCE: (3), (5) imply:
% 243.43/48.11  |   (6)  $false
% 243.43/48.11  | 
% 243.43/48.11  | CLOSE: (6) is inconsistent.
% 243.43/48.11  | 
% 243.43/48.11  End of proof
% 243.43/48.11  
% 243.43/48.11  Sub-proof #328 shows that the following formulas are inconsistent:
% 243.43/48.11  ----------------------------------------------------------------
% 243.43/48.11    (1)  op2(e24, e20) = e24
% 243.43/48.11    (2)   ~ (e24 = e20)
% 243.43/48.11    (3)   ~ (e23 = e21)
% 243.43/48.11    (4)  op2(e23, e21) = e24
% 243.43/48.11    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.11           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.11           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.11    (6)  op2(e23, e23) = e21
% 243.43/48.11    (7)  all_24_2 = e22
% 243.43/48.11    (8)   ~ (e23 = e22)
% 243.43/48.11    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.11    (10)   ~ (e23 = e20)
% 243.43/48.11    (11)   ~ (e24 = e21)
% 243.43/48.11    (12)   ~ (e22 = e21)
% 243.43/48.11    (13)  op2(e23, e22) = e20
% 243.43/48.11    (14)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 243.43/48.11              e20) = e20)
% 243.43/48.11    (15)   ~ (e21 = e20)
% 243.43/48.11    (16)   ~ (e24 = e22)
% 243.43/48.11    (17)   ~ (e24 = e23)
% 243.43/48.11    (18)  op2(e23, e21) = all_10_1
% 243.43/48.11    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.11            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.11            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.11    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.11            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.11            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.11  
% 243.43/48.11  Begin of proof
% 243.43/48.11  | 
% 243.43/48.11  | BETA: splitting (14) gives:
% 243.43/48.11  | 
% 243.43/48.11  | Case 1:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (21)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.43/48.11  | | 
% 243.43/48.11  | | REF_CLOSE: (1), (2), (9), (21) are inconsistent by sub-proof #343.
% 243.43/48.11  | | 
% 243.43/48.11  | Case 2:
% 243.43/48.11  | | 
% 243.43/48.11  | |   (22)  all_24_17 = e20 & op2(e23, e20) = e20
% 243.43/48.11  | | 
% 243.43/48.11  | | ALPHA: (22) implies:
% 243.43/48.11  | |   (23)  all_24_17 = e20
% 243.43/48.11  | | 
% 243.43/48.11  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 243.43/48.11  | |            (15), (16), (17), (18), (19), (20), (23) are inconsistent by
% 243.43/48.11  | |            sub-proof #888.
% 243.43/48.11  | | 
% 243.43/48.11  | End of split
% 243.43/48.11  | 
% 243.43/48.11  End of proof
% 243.43/48.11  
% 243.43/48.11  Sub-proof #329 shows that the following formulas are inconsistent:
% 243.43/48.11  ----------------------------------------------------------------
% 243.43/48.11    (1)  op2(e22, unit2) = e22
% 243.43/48.11    (2)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 243.43/48.11           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 243.43/48.11           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.43/48.11    (3)  op2(e23, unit2) = e23
% 243.43/48.11    (4)   ~ (e24 = e20)
% 243.43/48.11    (5)   ~ (e23 = e21)
% 243.43/48.11    (6)  all_24_6 = e23
% 243.43/48.11    (7)  op2(e23, e21) = e24
% 243.43/48.11    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.11           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.11           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.11    (9)  op2(e23, e23) = e21
% 243.43/48.11    (10)  all_24_2 = e22
% 243.43/48.11    (11)   ~ (e23 = e22)
% 243.43/48.11    (12)   ~ (e22 = e20)
% 243.43/48.11    (13)  op2(e21, e23) = all_16_8
% 243.43/48.11    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.11            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.11    (15)  all_24_23 = e22
% 243.43/48.11    (16)  op2(e23, e24) = e22
% 243.43/48.11    (17)  all_24_21 = e23
% 243.43/48.11    (18)   ~ (e23 = e20)
% 243.43/48.11    (19)  all_24_9 = e23
% 243.43/48.11    (20)   ~ (all_6_2 = e20)
% 243.43/48.11    (21)   ~ (all_16_7 = e23)
% 243.43/48.11    (22)  op2(e24, e23) = e22
% 243.43/48.11    (23)   ~ (e24 = e21)
% 243.43/48.11    (24)   ~ (e22 = e21)
% 243.43/48.11    (25)  all_24_8 = e22
% 243.43/48.11    (26)  op2(e23, e22) = e20
% 243.43/48.11    (27)  all_24_1 = e22
% 243.43/48.11    (28)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.11    (29)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.11            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.11            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.11    (30)   ~ (all_16_8 = e23)
% 243.43/48.11    (31)  op2(e22, e23) = all_16_7
% 243.43/48.11    (32)  op2(e21, e21) = all_6_2
% 243.43/48.11    (33)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.11            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.11            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.11    (34)   ~ (e21 = e20)
% 243.43/48.11    (35)   ~ (e24 = e22)
% 243.43/48.11    (36)  all_24_17 = e23
% 243.43/48.11    (37)   ~ (e24 = e23)
% 243.43/48.11    (38)  op2(e23, e21) = all_10_1
% 243.43/48.11    (39)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.11            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.43/48.11            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.11    (40)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.11            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.11            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.11    (41)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.43/48.11            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.43/48.11            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.43/48.11    (42)  all_24_5 = e20
% 243.43/48.12    (43)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.43/48.12            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.43/48.12            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.12    (44)  all_24_3 = e21
% 243.43/48.12    (45)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.12  
% 243.43/48.12  Begin of proof
% 243.43/48.12  | 
% 243.43/48.12  | BETA: splitting (2) gives:
% 243.43/48.12  | 
% 243.43/48.12  | Case 1:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (46)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 243.43/48.12  | |             e21) = e20)
% 243.43/48.12  | | 
% 243.43/48.12  | | BETA: splitting (46) gives:
% 243.43/48.12  | | 
% 243.43/48.12  | | Case 1:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (47)  all_24_9 = e20 & op2(e24, e21) = e20
% 243.43/48.12  | | | 
% 243.43/48.12  | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (14), (18), (19), (23),
% 243.43/48.12  | | |            (24), (26), (34), (35), (36), (37), (38), (40), (45), (47) are
% 243.43/48.12  | | |            inconsistent by sub-proof #887.
% 243.43/48.12  | | | 
% 243.43/48.12  | | Case 2:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (48)  all_24_10 = e20 & op2(e23, e21) = e20
% 243.43/48.12  | | | 
% 243.43/48.12  | | | REF_CLOSE: (4), (7), (14), (38), (48) are inconsistent by sub-proof #591.
% 243.43/48.12  | | | 
% 243.43/48.12  | | End of split
% 243.43/48.12  | | 
% 243.43/48.12  | Case 2:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (49)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 243.43/48.12  | |           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.43/48.12  | | 
% 243.43/48.12  | | BETA: splitting (49) gives:
% 243.43/48.12  | | 
% 243.43/48.12  | | Case 1:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (50)  all_24_11 = e20 & op2(e22, e21) = e20
% 243.43/48.12  | | | 
% 243.43/48.12  | | | ALPHA: (50) implies:
% 243.43/48.12  | | |   (51)  all_24_11 = e20
% 243.43/48.12  | | | 
% 243.43/48.12  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 243.43/48.12  | | |            (14), (16), (17), (18), (21), (22), (23), (24), (25), (26),
% 243.43/48.12  | | |            (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 243.43/48.12  | | |            (38), (39), (40), (41), (42), (43), (44), (45), (51) are
% 243.43/48.12  | | |            inconsistent by sub-proof #331.
% 243.43/48.12  | | | 
% 243.43/48.12  | | Case 2:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (52)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 &
% 243.43/48.12  | | |           op2(e20, e21) = e20)
% 243.43/48.12  | | | 
% 243.43/48.12  | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (14), (15), (18),
% 243.43/48.12  | | |            (20), (23), (24), (26), (32), (33), (34), (35), (37), (38),
% 243.43/48.12  | | |            (40), (45), (52) are inconsistent by sub-proof #330.
% 243.43/48.12  | | | 
% 243.43/48.12  | | End of split
% 243.43/48.12  | | 
% 243.43/48.12  | End of split
% 243.43/48.12  | 
% 243.43/48.12  End of proof
% 243.43/48.12  
% 243.43/48.12  Sub-proof #330 shows that the following formulas are inconsistent:
% 243.43/48.12  ----------------------------------------------------------------
% 243.43/48.12    (1)   ~ (e24 = e20)
% 243.43/48.12    (2)   ~ (e23 = e21)
% 243.43/48.12    (3)  op2(e23, e21) = e24
% 243.43/48.12    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.12    (5)  op2(e23, e23) = e21
% 243.43/48.12    (6)  all_24_2 = e22
% 243.43/48.12    (7)   ~ (e23 = e22)
% 243.43/48.12    (8)   ~ (e22 = e20)
% 243.43/48.12    (9)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20,
% 243.43/48.12             e21) = e20)
% 243.43/48.12    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.12    (11)  all_24_23 = e22
% 243.43/48.12    (12)   ~ (e23 = e20)
% 243.43/48.12    (13)   ~ (all_6_2 = e20)
% 243.43/48.12    (14)   ~ (e24 = e21)
% 243.43/48.12    (15)   ~ (e22 = e21)
% 243.43/48.12    (16)  op2(e23, e22) = e20
% 243.43/48.12    (17)  op2(e21, e21) = all_6_2
% 243.43/48.12    (18)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.12    (19)   ~ (e21 = e20)
% 243.43/48.12    (20)   ~ (e24 = e22)
% 243.43/48.12    (21)   ~ (e24 = e23)
% 243.43/48.12    (22)  op2(e23, e21) = all_10_1
% 243.43/48.12    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.12    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.12  
% 243.43/48.12  Begin of proof
% 243.43/48.12  | 
% 243.43/48.12  | BETA: splitting (9) gives:
% 243.43/48.12  | 
% 243.43/48.12  | Case 1:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (25)  all_24_15 = e20 & op2(e21, e21) = e20
% 243.43/48.12  | | 
% 243.43/48.12  | | REF_CLOSE: (10), (13), (17), (25) are inconsistent by sub-proof #519.
% 243.43/48.12  | | 
% 243.43/48.12  | Case 2:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (26)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.43/48.12  | | 
% 243.43/48.12  | | ALPHA: (26) implies:
% 243.43/48.12  | |   (27)  all_24_23 = e20
% 243.43/48.12  | | 
% 243.43/48.12  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (14),
% 243.43/48.12  | |            (15), (16), (18), (19), (20), (21), (22), (23), (24), (27) are
% 243.43/48.12  | |            inconsistent by sub-proof #585.
% 243.43/48.12  | | 
% 243.43/48.12  | End of split
% 243.43/48.12  | 
% 243.43/48.12  End of proof
% 243.43/48.12  
% 243.43/48.12  Sub-proof #331 shows that the following formulas are inconsistent:
% 243.43/48.12  ----------------------------------------------------------------
% 243.43/48.12    (1)  op2(e22, unit2) = e22
% 243.43/48.12    (2)  op2(e23, unit2) = e23
% 243.43/48.12    (3)   ~ (e24 = e20)
% 243.43/48.12    (4)   ~ (e23 = e21)
% 243.43/48.12    (5)  all_24_6 = e23
% 243.43/48.12    (6)  op2(e23, e21) = e24
% 243.43/48.12    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.12    (8)  op2(e23, e23) = e21
% 243.43/48.12    (9)  all_24_2 = e22
% 243.43/48.12    (10)   ~ (e23 = e22)
% 243.43/48.12    (11)   ~ (e22 = e20)
% 243.43/48.12    (12)  op2(e21, e23) = all_16_8
% 243.43/48.12    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.12    (14)  op2(e23, e24) = e22
% 243.43/48.12    (15)  all_24_21 = e23
% 243.43/48.12    (16)   ~ (e23 = e20)
% 243.43/48.12    (17)   ~ (all_16_7 = e23)
% 243.43/48.12    (18)  op2(e24, e23) = e22
% 243.43/48.12    (19)  all_24_11 = e20
% 243.43/48.12    (20)   ~ (e24 = e21)
% 243.43/48.12    (21)   ~ (e22 = e21)
% 243.43/48.12    (22)  all_24_8 = e22
% 243.43/48.12    (23)  op2(e23, e22) = e20
% 243.43/48.12    (24)  all_24_1 = e22
% 243.43/48.12    (25)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.12    (26)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.12            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.12            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.12    (27)   ~ (all_16_8 = e23)
% 243.43/48.12    (28)  op2(e22, e23) = all_16_7
% 243.43/48.12    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.12    (30)   ~ (e21 = e20)
% 243.43/48.12    (31)   ~ (e24 = e22)
% 243.43/48.12    (32)  all_24_17 = e23
% 243.43/48.12    (33)   ~ (e24 = e23)
% 243.43/48.12    (34)  op2(e23, e21) = all_10_1
% 243.43/48.12    (35)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.12            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.43/48.12            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.12    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.43/48.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.12    (37)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.43/48.12            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.43/48.12            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.43/48.12    (38)  all_24_5 = e20
% 243.43/48.12    (39)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.43/48.12            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.43/48.12            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.12    (40)  all_24_3 = e21
% 243.43/48.12    (41)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.43/48.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.43/48.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.12  
% 243.43/48.12  Begin of proof
% 243.43/48.12  | 
% 243.43/48.12  | BETA: splitting (37) gives:
% 243.43/48.12  | 
% 243.43/48.12  | Case 1:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (42)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.43/48.12  | |             e23) = e21)
% 243.43/48.12  | | 
% 243.43/48.12  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (15),
% 243.43/48.12  | |            (16), (17), (18), (20), (21), (23), (24), (26), (27), (28), (30),
% 243.43/48.12  | |            (31), (32), (33), (34), (35), (36), (39), (40), (41), (42) are
% 243.43/48.12  | |            inconsistent by sub-proof #561.
% 243.43/48.12  | | 
% 243.43/48.12  | Case 2:
% 243.43/48.12  | | 
% 243.43/48.12  | |   (43)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 243.43/48.12  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.43/48.12  | | 
% 243.43/48.12  | | BETA: splitting (43) gives:
% 243.43/48.12  | | 
% 243.43/48.12  | | Case 1:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (44)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.43/48.12  | | | 
% 243.43/48.12  | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (13), (16), (20), (21),
% 243.43/48.12  | | |            (22), (23), (29), (31), (33), (34), (36), (38), (41), (44) are
% 243.43/48.12  | | |            inconsistent by sub-proof #625.
% 243.43/48.12  | | | 
% 243.43/48.12  | | Case 2:
% 243.43/48.12  | | | 
% 243.43/48.12  | | |   (45)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 243.43/48.12  | | |           op2(e22, e20) = e21)
% 243.43/48.12  | | | 
% 243.43/48.12  | | | BETA: splitting (45) gives:
% 243.43/48.12  | | | 
% 243.43/48.12  | | | Case 1:
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | |   (46)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | | ALPHA: (46) implies:
% 243.43/48.12  | | | |   (47)  all_24_11 = e21
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | | REF_CLOSE: (19), (30), (47) are inconsistent by sub-proof #788.
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | Case 2:
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | |   (48)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | | REF_CLOSE: (1), (2), (6), (10), (13), (14), (16), (21), (23), (25),
% 243.43/48.12  | | | |            (33), (34), (48) are inconsistent by sub-proof #797.
% 243.43/48.12  | | | | 
% 243.43/48.12  | | | End of split
% 243.43/48.12  | | | 
% 243.43/48.12  | | End of split
% 243.43/48.12  | | 
% 243.43/48.12  | End of split
% 243.43/48.12  | 
% 243.43/48.12  End of proof
% 243.43/48.12  
% 243.43/48.12  Sub-proof #332 shows that the following formulas are inconsistent:
% 243.43/48.12  ----------------------------------------------------------------
% 243.43/48.12    (1)  op2(e24, e22) = all_16_10
% 243.43/48.12    (2)   ~ (all_16_10 = all_4_2)
% 243.43/48.12    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.43/48.12           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.43/48.12           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.43/48.12    (4)   ~ (all_16_10 = e20)
% 243.43/48.12    (5)  op2(e22, all_4_2) = all_4_1
% 243.43/48.12    (6)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.43/48.12             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.43/48.12           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.12    (7)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.43/48.12           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.43/48.12           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.12    (8)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.43/48.12           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.43/48.12           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.43/48.12    (9)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 243.43/48.12             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 243.43/48.12           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 243.43/48.12    (10)  op2(e20, e22) = e22
% 243.43/48.12    (11)  op2(e22, unit2) = e22
% 243.43/48.12    (12)   ~ (all_16_15 = e24)
% 243.43/48.12    (13)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 243.43/48.12              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 243.43/48.12            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.43/48.12    (14)  op2(e23, unit2) = e23
% 243.43/48.12    (15)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.43/48.12              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.43/48.12            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.43/48.12    (16)  op2(e20, e24) = all_16_4
% 243.43/48.12    (17)   ~ (all_16_14 = e23)
% 243.43/48.13    (18)   ~ (all_16_14 = all_4_2)
% 243.43/48.13    (19)   ~ (all_16_22 = all_4_2)
% 243.43/48.13    (20)   ~ (e24 = e20)
% 243.43/48.13    (21)  (all_24_16 = e20 & op2(e24, e20) = e20) | (all_24_17 = e20 & op2(e23,
% 243.43/48.13              e20) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20) | (all_24_19 =
% 243.43/48.13            e20 & op2(e21, e20) = e20)
% 243.43/48.13    (22)   ~ (e23 = e21)
% 243.43/48.13    (23)  all_24_6 = e23
% 243.43/48.13    (24)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.43/48.13              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.43/48.13            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.43/48.13    (25)  op2(e23, e21) = e24
% 243.43/48.13    (26)   ~ (all_16_1 = e21)
% 243.43/48.13    (27)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.43/48.13            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.43/48.13            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.43/48.13    (28)  all_24_14 = e23
% 243.43/48.13    (29)  op2(e23, e23) = e21
% 243.43/48.13    (30)  op2(e22, e20) = all_16_22
% 243.43/48.13    (31)   ~ (all_16_4 = e23)
% 243.43/48.13    (32)  all_24_2 = e22
% 243.43/48.13    (33)   ~ (e23 = e22)
% 243.43/48.13    (34)   ~ (all_16_7 = all_4_2)
% 243.43/48.13    (35)  op2(e20, unit2) = e20
% 243.43/48.13    (36)   ~ (e22 = e20)
% 243.43/48.13    (37)  op2(e21, e23) = all_16_8
% 243.43/48.13    (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.43/48.13            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.43/48.13            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.43/48.13    (39)   ~ (all_6_2 = e24)
% 243.43/48.13    (40)   ~ (all_16_7 = all_16_8)
% 243.43/48.13    (41)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.43/48.13            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.43/48.13    (42)  all_24_13 = e20
% 243.43/48.13    (43)  all_24_7 = e24
% 243.43/48.13    (44)   ~ (all_16_8 = e21)
% 243.43/48.13    (45)  op2(e23, e24) = e22
% 243.43/48.13    (46)  op2(e22, all_4_0) = all_4_3
% 243.43/48.13    (47)  all_24_21 = e23
% 243.43/48.13    (48)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.43/48.13            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.43/48.13            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.43/48.13    (49)   ~ (e23 = e20)
% 243.43/48.13    (50)  all_24_9 = e23
% 243.43/48.13    (51)   ~ (all_16_7 = e23)
% 243.43/48.13    (52)  op2(e24, e23) = e22
% 243.43/48.13    (53)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.43/48.13              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.43/48.13            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.43/48.13    (54)   ~ (all_16_10 = e22)
% 243.43/48.13    (55)   ~ (e24 = e21)
% 243.43/48.13    (56)  op2(e20, e22) = all_16_14
% 243.43/48.13    (57)   ~ (all_16_17 = e23)
% 243.43/48.13    (58)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.43/48.13              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.43/48.13            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.43/48.13    (59)  op2(e21, all_6_2) = all_6_1
% 243.43/48.13    (60)   ~ (e22 = e21)
% 243.43/48.13    (61)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.43/48.13            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.43/48.13            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.43/48.13    (62)   ~ (all_16_1 = e20)
% 243.43/48.13    (63)   ~ (all_16_17 = e24)
% 243.43/48.13    (64)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.43/48.13              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 243.43/48.13            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.43/48.13    (65)   ~ (all_4_2 = e20)
% 243.43/48.13    (66)  op2(e24, unit2) = e24
% 243.43/48.13    (67)  op2(e23, e22) = e20
% 243.43/48.13    (68)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.43/48.13              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.43/48.13            e20 & op2(e20, e21) = e20)
% 243.43/48.13    (69)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.43/48.13            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.43/48.13            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.43/48.13    (70)   ~ (all_16_1 = e23)
% 243.43/48.13    (71)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 243.43/48.13              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 243.43/48.13            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.13    (72)   ~ (all_16_20 = e22)
% 243.43/48.13    (73)   ~ (all_4_2 = e23)
% 243.43/48.13    (74)   ~ (all_16_22 = all_8_2)
% 243.43/48.13    (75)   ~ (all_16_14 = e20)
% 243.43/48.13    (76)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.43/48.13              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.43/48.13            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.43/48.13    (77)   ~ (all_16_4 = all_16_19)
% 243.43/48.13    (78)  op2(e24, e20) = all_16_20
% 243.43/48.13    (79)   ~ (all_16_19 = e23)
% 243.43/48.13    (80)  all_24_1 = e22
% 243.43/48.13    (81)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.43/48.13            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.43/48.13            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.43/48.13    (82)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.43/48.13    (83)   ~ (all_16_17 = all_16_22)
% 243.43/48.13    (84)   ~ (all_4_2 = e24)
% 243.43/48.13    (85)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 243.43/48.13            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.43/48.13            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.43/48.13    (86)   ~ (all_16_17 = all_4_2)
% 243.43/48.13    (87)  op2(e22, e21) = all_16_17
% 243.43/48.13    (88)  op2(all_6_1, e21) = all_6_0
% 243.43/48.13    (89)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.43/48.13            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.43/48.13            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.43/48.13    (90)   ~ (all_16_22 = e23)
% 243.43/48.13    (91)   ~ (all_16_8 = e23)
% 243.43/48.13    (92)  op2(e22, e23) = all_16_7
% 243.43/48.13    (93)   ~ (all_16_19 = e24)
% 243.43/48.13    (94)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.43/48.13              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.43/48.13            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.43/48.13    (95)  op2(e21, e21) = all_6_2
% 243.43/48.13    (96)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.43/48.13            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.43/48.13            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.13    (97)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.43/48.13    (98)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.43/48.13            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.43/48.13            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.43/48.13    (99)   ~ (all_16_7 = e22)
% 243.43/48.13    (100)   ~ (e21 = e20)
% 243.43/48.13    (101)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 243.43/48.13               e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 =
% 243.43/48.13             e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.43/48.13    (102)  op2(e24, e21) = all_16_15
% 243.43/48.13    (103)   ~ (all_16_7 = all_16_17)
% 243.43/48.13    (104)   ~ (e24 = e22)
% 243.43/48.13    (105)  op2(e22, e24) = e23
% 243.43/48.13    (106)  op2(e20, e20) = all_8_2
% 243.43/48.13    (107)  all_24_17 = e23
% 243.43/48.13    (108)  op2(e21, e22) = e23
% 243.43/48.13    (109)  op2(e23, e24) = all_16_1
% 243.43/48.13    (110)   ~ (all_16_7 = e21)
% 243.43/48.13    (111)   ~ (e24 = e23)
% 243.43/48.13    (112)  op2(e23, e21) = all_10_1
% 243.43/48.13    (113)   ~ (all_16_14 = all_8_2)
% 243.43/48.13    (114)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 243.43/48.13               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 243.43/48.13             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.43/48.13    (115)  op2(all_4_1, e22) = all_4_0
% 243.43/48.13    (116)  op2(e21, unit2) = e21
% 243.43/48.13    (117)  op2(e22, e22) = all_4_2
% 243.43/48.13    (118)  op2(e20, e21) = all_16_19
% 243.43/48.13    (119)   ~ (all_16_8 = e22)
% 243.43/48.13    (120)  all_20_5 = all_16_1
% 243.43/48.13    (121)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 243.43/48.13               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 243.43/48.13             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.43/48.13    (122)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.43/48.13               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 243.43/48.13             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.43/48.13    (123)   ~ (all_16_4 = all_16_14)
% 243.43/48.13    (124)  all_24_5 = e20
% 243.43/48.13    (125)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.43/48.13               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.43/48.13             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.43/48.13             e21)
% 243.43/48.13    (126)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.43/48.13               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.43/48.13             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.13    (127)  all_24_22 = e22
% 243.43/48.13    (128)  all_24_3 = e21
% 243.43/48.13    (129)   ~ (all_16_7 = all_16_22)
% 243.43/48.13    (130)   ~ (all_16_10 = e23)
% 243.43/48.13    (131)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.43/48.13               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.43/48.13             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.43/48.13  
% 243.43/48.13  Begin of proof
% 243.43/48.13  | 
% 243.43/48.13  | BETA: splitting (85) gives:
% 243.43/48.13  | 
% 243.43/48.13  | Case 1:
% 243.43/48.13  | | 
% 243.43/48.13  | |   (132)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 243.43/48.13  | |              e22) = e24)
% 243.43/48.13  | | 
% 243.43/48.13  | | BETA: splitting (132) gives:
% 243.43/48.13  | | 
% 243.43/48.13  | | Case 1:
% 243.43/48.13  | | | 
% 243.43/48.13  | | |   (133)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.43/48.13  | | | 
% 243.43/48.13  | | | ALPHA: (133) implies:
% 243.43/48.13  | | |   (134)  all_24_4 = e24
% 243.43/48.13  | | |   (135)  op2(e24, e22) = e24
% 243.43/48.13  | | | 
% 243.43/48.13  | | | BETA: splitting (101) gives:
% 243.43/48.13  | | | 
% 243.43/48.13  | | | Case 1:
% 243.43/48.13  | | | | 
% 243.43/48.13  | | | |   (136)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 243.43/48.13  | | | |            op2(e23, e22) = e21)
% 243.43/48.13  | | | | 
% 243.43/48.13  | | | | BETA: splitting (136) gives:
% 243.43/48.13  | | | | 
% 243.43/48.13  | | | | Case 1:
% 243.43/48.13  | | | | | 
% 243.43/48.13  | | | | |   (137)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.43/48.13  | | | | | 
% 243.43/48.13  | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (36), (37), (41),
% 243.43/48.13  | | | | |            (43), (47), (49), (51), (52), (55), (60), (67), (80), (89),
% 243.43/48.13  | | | | |            (91), (92), (100), (104), (107), (111), (112), (114),
% 243.43/48.13  | | | | |            (121), (126), (128), (131), (134), (137) are inconsistent
% 243.43/48.13  | | | | |            by sub-proof #706.
% 243.43/48.13  | | | | | 
% 243.43/48.13  | | | | Case 2:
% 243.43/48.13  | | | | | 
% 243.43/48.14  | | | | |   (138)  all_24_5 = e21 & op2(e23, e22) = e21
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REF_CLOSE: (41), (67), (100), (138) are inconsistent by sub-proof
% 243.43/48.14  | | | | |            #1318.
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | End of split
% 243.43/48.14  | | | | 
% 243.43/48.14  | | | Case 2:
% 243.43/48.14  | | | | 
% 243.43/48.14  | | | |   (139)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 243.43/48.14  | | | |            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) =
% 243.43/48.14  | | | |            e21)
% 243.43/48.14  | | | | 
% 243.43/48.14  | | | | BETA: splitting (139) gives:
% 243.43/48.14  | | | | 
% 243.43/48.14  | | | | Case 1:
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | |   (140)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | ALPHA: (140) implies:
% 243.43/48.14  | | | | |   (141)  all_24_8 = e21
% 243.43/48.14  | | | | |   (142)  op2(e22, e22) = e21
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | GROUND_INST: instantiating (41) with all_16_14, e22, e22, e20,
% 243.43/48.14  | | | | |              simplifying with (10), (56) gives:
% 243.43/48.14  | | | | |   (143)  all_16_14 = e22
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | GROUND_INST: instantiating (41) with all_4_2, e21, e22, e22,
% 243.43/48.14  | | | | |              simplifying with (117), (142) gives:
% 243.43/48.14  | | | | |   (144)  all_4_2 = e21
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | GROUND_INST: instantiating (41) with all_16_10, e24, e22, e24,
% 243.43/48.14  | | | | |              simplifying with (1), (135) gives:
% 243.43/48.14  | | | | |   (145)  all_16_10 = e24
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REDUCE: (123), (143) imply:
% 243.43/48.14  | | | | |   (146)   ~ (all_16_4 = e22)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REDUCE: (113), (143) imply:
% 243.43/48.14  | | | | |   (147)   ~ (all_8_2 = e22)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | SIMP: (147) implies:
% 243.43/48.14  | | | | |   (148)   ~ (all_8_2 = e22)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REDUCE: (17), (143) imply:
% 243.43/48.14  | | | | |   (149)   ~ (e23 = e22)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REDUCE: (84), (144) imply:
% 243.43/48.14  | | | | |   (150)   ~ (e24 = e21)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | REDUCE: (73), (144) imply:
% 243.43/48.14  | | | | |   (151)   ~ (e23 = e21)
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | BETA: splitting (61) gives:
% 243.43/48.14  | | | | | 
% 243.43/48.14  | | | | | Case 1:
% 243.43/48.14  | | | | | | 
% 243.43/48.14  | | | | | |   (152)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 243.43/48.14  | | | | | |            op2(e24, e23) = e20)
% 243.43/48.14  | | | | | | 
% 243.43/48.14  | | | | | | BETA: splitting (152) gives:
% 243.43/48.14  | | | | | | 
% 243.43/48.14  | | | | | | Case 1:
% 243.43/48.14  | | | | | | | 
% 243.43/48.14  | | | | | | |   (153)  all_24_0 = e20 & op2(e24, e24) = e20
% 243.43/48.14  | | | | | | | 
% 243.43/48.14  | | | | | | | ALPHA: (153) implies:
% 243.43/48.14  | | | | | | |   (154)  all_24_0 = e20
% 243.43/48.14  | | | | | | | 
% 243.43/48.14  | | | | | | | BETA: splitting (48) gives:
% 243.43/48.14  | | | | | | | 
% 243.43/48.14  | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | |   (155)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 =
% 243.43/48.14  | | | | | | | |            e21 & op2(e24, e23) = e21)
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | | BETA: splitting (155) gives:
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | |   (156)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | REF_CLOSE: (1), (4), (14), (20), (22), (25), (27), (29), (32),
% 243.43/48.14  | | | | | | | | |            (33), (36), (41), (45), (49), (50), (52), (55),
% 243.43/48.14  | | | | | | | | |            (60), (61), (66), (67), (82), (100), (104), (107),
% 243.43/48.14  | | | | | | | | |            (111), (112), (121), (131), (156) are inconsistent
% 243.43/48.14  | | | | | | | | |            by sub-proof #883.
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | |   (157)  all_24_1 = e21 & op2(e24, e23) = e21
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | REF_CLOSE: (41), (52), (60), (157) are inconsistent by
% 243.43/48.14  | | | | | | | | |            sub-proof #866.
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | |   (158)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 =
% 243.43/48.14  | | | | | | | |            e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 243.43/48.14  | | | | | | | |            op2(e24, e20) = e21)
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | | BETA: splitting (158) gives:
% 243.43/48.14  | | | | | | | | 
% 243.43/48.14  | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | |   (159)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (36),
% 243.43/48.14  | | | | | | | | |            (37), (41), (43), (47), (49), (51), (52), (55),
% 243.43/48.14  | | | | | | | | |            (60), (67), (80), (89), (91), (92), (100), (104),
% 243.43/48.14  | | | | | | | | |            (107), (111), (112), (114), (121), (126), (128),
% 243.43/48.14  | | | | | | | | |            (131), (134), (159) are inconsistent by sub-proof
% 243.43/48.14  | | | | | | | | |            #706.
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | |   (160)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 =
% 243.43/48.14  | | | | | | | | |            e21 & op2(e24, e20) = e21)
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | BETA: splitting (160) gives:
% 243.43/48.14  | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | |   (161)  all_24_9 = e21 & op2(e24, e21) = e21
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | REF_CLOSE: (22), (25), (29), (32), (33), (41), (49), (50),
% 243.43/48.14  | | | | | | | | | |            (55), (67), (104), (107), (111), (112), (121),
% 243.43/48.14  | | | | | | | | | |            (131), (161) are inconsistent by sub-proof #864.
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | |   (162)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | ALPHA: (162) implies:
% 243.43/48.14  | | | | | | | | | |   (163)  all_24_16 = e21
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | BETA: splitting (21) gives:
% 243.43/48.14  | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | |   (164)  (all_24_16 = e20 & op2(e24, e20) = e20) |
% 243.43/48.14  | | | | | | | | | | |          (all_24_17 = e20 & op2(e23, e20) = e20)
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | BETA: splitting (164) gives:
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | |   (165)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | ALPHA: (165) implies:
% 243.43/48.14  | | | | | | | | | | | |   (166)  all_24_16 = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | REF_CLOSE: (12), (20), (22), (25), (29), (32), (33), (41),
% 243.43/48.14  | | | | | | | | | | | |            (48), (49), (50), (52), (55), (60), (67), (80),
% 243.43/48.14  | | | | | | | | | | | |            (81), (100), (102), (104), (107), (111), (112),
% 243.43/48.14  | | | | | | | | | | | |            (121), (131), (154), (166) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | |            sub-proof #339.
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | |   (167)  all_24_17 = e20 & op2(e23, e20) = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | ALPHA: (167) implies:
% 243.43/48.14  | | | | | | | | | | | |   (168)  all_24_17 = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (41),
% 243.43/48.14  | | | | | | | | | | | |            (49), (55), (60), (67), (100), (104), (111),
% 243.43/48.14  | | | | | | | | | | | |            (112), (121), (131), (168) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | |            sub-proof #888.
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | |   (169)  (all_24_18 = e20 & op2(e22, e20) = e20) |
% 243.43/48.14  | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | BETA: splitting (169) gives:
% 243.43/48.14  | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | |   (170)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | REF_CLOSE: (6), (11), (14), (20), (22), (25), (26), (27),
% 243.43/48.14  | | | | | | | | | | | |            (29), (32), (33), (36), (41), (45), (49), (55),
% 243.43/48.14  | | | | | | | | | | | |            (60), (62), (67), (70), (72), (78), (82), (96),
% 243.43/48.14  | | | | | | | | | | | |            (97), (100), (104), (106), (109), (111), (112),
% 243.43/48.14  | | | | | | | | | | | |            (116), (120), (121), (131), (148), (170) are
% 243.43/48.14  | | | | | | | | | | | |            inconsistent by sub-proof #337.
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | |   (171)  all_24_19 = e20 & op2(e21, e20) = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | ALPHA: (171) implies:
% 243.43/48.14  | | | | | | | | | | | |   (172)  all_24_19 = e20
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | BETA: splitting (6) gives:
% 243.43/48.14  | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | |   (173)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 243.43/48.14  | | | | | | | | | | | | |          (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | REF_CLOSE: (22), (25), (26), (29), (33), (41), (49), (62),
% 243.43/48.14  | | | | | | | | | | | | |            (67), (70), (72), (78), (97), (109), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | |            (120), (131), (173) are inconsistent by sub-proof
% 243.43/48.14  | | | | | | | | | | | | |            #805.
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | |   (174)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 243.43/48.14  | | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22) |
% 243.43/48.14  | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | BETA: splitting (174) gives:
% 243.43/48.14  | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | |   (175)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.43/48.14  | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | ALPHA: (175) implies:
% 243.43/48.14  | | | | | | | | | | | | | |   (176)  all_24_18 = e22
% 243.43/48.14  | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 243.43/48.14  | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | |   (177)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 243.43/48.14  | | | | | | | | | | | | | | |            = e20 & op2(e22, e23) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11),
% 243.43/48.14  | | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19),
% 243.43/48.14  | | | | | | | | | | | | | | |            (20), (22), (23), (24), (25), (26), (27), (28),
% 243.43/48.14  | | | | | | | | | | | | | | |            (29), (30), (31), (32), (33), (34), (35), (37),
% 243.43/48.14  | | | | | | | | | | | | | | |            (38), (40), (41), (44), (45), (46), (47), (49),
% 243.43/48.14  | | | | | | | | | | | | | | |            (50), (51), (52), (53), (54), (55), (56), (57),
% 243.43/48.14  | | | | | | | | | | | | | | |            (58), (59), (60), (61), (62), (63), (66), (67),
% 243.43/48.14  | | | | | | | | | | | | | | |            (68), (69), (70), (71), (72), (73), (74), (75),
% 243.43/48.14  | | | | | | | | | | | | | | |            (76), (77), (78), (79), (80), (81), (82), (83),
% 243.43/48.14  | | | | | | | | | | | | | | |            (85), (86), (87), (88), (89), (90), (91), (92),
% 243.43/48.14  | | | | | | | | | | | | | | |            (93), (94), (95), (96), (97), (98), (99), (100),
% 243.43/48.14  | | | | | | | | | | | | | | |            (101), (102), (103), (104), (105), (106), (107),
% 243.43/48.14  | | | | | | | | | | | | | | |            (108), (109), (110), (111), (112), (114), (115),
% 243.43/48.14  | | | | | | | | | | | | | | |            (116), (117), (118), (119), (120), (121), (122),
% 243.43/48.14  | | | | | | | | | | | | | | |            (124), (125), (126), (128), (129), (130), (131),
% 243.43/48.14  | | | | | | | | | | | | | | |            (146), (177) are inconsistent by sub-proof #336.
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | |   (178)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | |          (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | |   (179)  all_24_8 = e20 & op2(e22, e22) = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | |   (180)  all_24_8 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (180) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | |   (181)  e21 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (181) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | |   (182)  all_24_16 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (22), (25), (29), (32), (33), (41),
% 243.43/48.14  | | | | | | | | | | | | | | | |            (48), (49), (50), (52), (55), (60), (67), (80),
% 243.43/48.14  | | | | | | | | | | | | | | | |            (81), (100), (102), (104), (107), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | | | | |            (121), (131), (154), (182) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | | | | | |            sub-proof #339.
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | |   (183)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | |   (184)  all_24_11 = e20 & op2(e22, e21) = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | |   (185)  all_24_11 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | |   (186)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | |          (all_24_10 = e22 & op2(e23, e21) = e22)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (25), (26), (29), (33), (41), (49), (50),
% 243.43/48.14  | | | | | | | | | | | | | | | | | |            (62), (67), (70), (97), (104), (107), (109),
% 243.43/48.14  | | | | | | | | | | | | | | | | | |            (111), (112), (120), (131), (186) are inconsistent
% 243.43/48.14  | | | | | | | | | | | | | | | | | |            by sub-proof #371.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | |   (187)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |   (188)  all_24_11 = e22 & op2(e22, e21) = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |   (189)  all_24_11 = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (36),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |            (41), (49), (55), (60), (67), (96), (100), (104),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |            (111), (112), (121), (131), (185), (189) are
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #786.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |   (190)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | |   (191)  all_24_15 = e22 & op2(e21, e21) = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | |   (192)  all_24_15 = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |   (193)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |          (all_24_10 = e21 & op2(e23, e21) = e21)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_24_9 = e21 & op2(e24, e21) = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (25), (29), (32), (33), (41), (49), (50),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            (55), (67), (104), (107), (111), (112), (121),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            (131), (194) are inconsistent by sub-proof #864.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_24_10 = e21 & op2(e23, e21) = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (41), (55), (112), (195) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #789.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |   (196)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (197)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (198)  all_24_11 = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (185), (198) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (199)  e21 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (200)  e21 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (200) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (201)  all_24_16 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (22), (25), (29), (32), (33), (41),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (50), (52), (55), (60), (67), (80),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            (81), (100), (102), (104), (107), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (154), (201) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #339.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (25), (29), (32), (33), (36), (41),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |            (49), (55), (60), (67), (96), (104), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |            (121), (124), (131), (192), (203) are inconsistent
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #616.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_24_23 = e21 & op2(e20, e21) = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_24_23 = e21
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (14), (20), (22), (23), (24),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (25), (27), (28), (29), (32), (33), (36), (37),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (39), (41), (43), (45), (47), (48), (49), (50),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (51), (52), (55), (60), (61), (64), (66), (67),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (89), (91), (92), (93), (95),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (96), (100), (102), (104), (107), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (114), (118), (121), (124), (125), (126), (127),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (128), (131), (134), (154), (163), (172), (176),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |            (206) are inconsistent by sub-proof #333.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_24_22 = e20 & op2(e20, e22) = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_24_22 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (20), (22), (25), (26), (27), (28), (29),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (36), (41), (49), (54), (55), (60),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (67), (69), (70), (96), (97), (100), (104),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (111), (112), (120), (121), (124),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (141), (209) are inconsistent by sub-proof
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #358.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_24_23 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (211) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  e21 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (212) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  e21 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (213) imply:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_24_16 = e20
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (22), (25), (29), (32), (33), (41),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (50), (52), (55), (60), (67), (80),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (100), (102), (104), (107), (111), (112),
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (154), (214) are inconsistent by
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #339.
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | End of split
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | |   (215)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | |   (216)  all_24_23 = e22
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |   (217)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.43/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (14), (20), (22), (23), (24),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (25), (27), (28), (29), (32), (33), (36), (37),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (39), (41), (43), (45), (47), (48), (49), (50),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (51), (52), (55), (60), (61), (64), (66), (67),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (89), (91), (92), (93), (95),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (96), (100), (102), (104), (107), (111), (112),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (114), (118), (121), (124), (125), (126), (127),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (128), (131), (134), (154), (163), (172), (176),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |            (217) are inconsistent by sub-proof #333.
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |   (218)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |   (219)  all_24_22 = e20 & op2(e20, e22) = e20
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |   (220)  all_24_22 = e20
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (20), (22), (25), (26), (27), (28), (29),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (36), (41), (49), (54), (55), (60),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |            (62), (67), (69), (70), (96), (97), (100), (104),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (111), (112), (120), (121), (124),
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |            (131), (141), (220) are inconsistent by sub-proof
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |            #358.
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |   (221)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | |   (222)  all_24_23 = e20
% 243.73/48.14  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (36),
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | |            (41), (49), (55), (60), (67), (96), (100), (104),
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | |            (111), (112), (121), (131), (216), (222) are
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #585.
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | Case 2:
% 243.73/48.15  | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | |   (223)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.73/48.15  | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (14), (20), (22), (25), (26), (27),
% 243.73/48.15  | | | | | | | | | | | | | | | | |            (29), (32), (33), (36), (41), (45), (49), (55),
% 243.73/48.15  | | | | | | | | | | | | | | | | |            (60), (62), (67), (70), (72), (78), (82), (96),
% 243.73/48.15  | | | | | | | | | | | | | | | | |            (97), (100), (104), (106), (109), (111), (112),
% 243.73/48.15  | | | | | | | | | | | | | | | | |            (116), (120), (121), (131), (148), (223) are
% 243.73/48.15  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #337.
% 243.73/48.15  | | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | Case 2:
% 243.73/48.15  | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | |   (224)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 243.73/48.15  | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.15  | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 243.73/48.15  | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | Case 1:
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | |   (225)  all_24_19 = e22 & op2(e21, e20) = e22
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (36),
% 243.73/48.15  | | | | | | | | | | | | | | |            (41), (49), (55), (60), (67), (96), (100), (104),
% 243.73/48.15  | | | | | | | | | | | | | | |            (111), (112), (121), (131), (172), (225) are
% 243.73/48.15  | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | Case 2:
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | |   (226)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | | REF_CLOSE: (41), (106), (148), (226) are inconsistent by
% 243.73/48.15  | | | | | | | | | | | | | | |            sub-proof #338.
% 243.73/48.15  | | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | | 
% 243.73/48.15  | | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | | 
% 243.73/48.15  | | | | | | | | End of split
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | End of split
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | Case 2:
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | |   (227)  all_24_1 = e20 & op2(e24, e23) = e20
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | | REF_CLOSE: (36), (41), (52), (227) are inconsistent by sub-proof
% 243.73/48.15  | | | | | | |            #911.
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | End of split
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | Case 2:
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | |   (228)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.73/48.15  | | | | | |            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) =
% 243.73/48.15  | | | | | |            e20)
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | | BETA: splitting (228) gives:
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | | Case 1:
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | |   (229)  all_24_4 = e20 & op2(e24, e22) = e20
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | | REF_CLOSE: (1), (4), (41), (229) are inconsistent by sub-proof
% 243.73/48.15  | | | | | | |            #909.
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | Case 2:
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | |   (230)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 243.73/48.15  | | | | | | |            & op2(e24, e20) = e20)
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | | BETA: splitting (230) gives:
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | | Case 1:
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | |   (231)  all_24_9 = e20 & op2(e24, e21) = e20
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | | ALPHA: (231) implies:
% 243.73/48.15  | | | | | | | |   (232)  all_24_9 = e20
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | | COMBINE_EQS: (50), (232) imply:
% 243.73/48.15  | | | | | | | |   (233)  e23 = e20
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | | REF_CLOSE: (20), (22), (25), (27), (29), (32), (33), (41), (49),
% 243.73/48.15  | | | | | | | |            (55), (60), (67), (100), (104), (107), (111), (112),
% 243.73/48.15  | | | | | | | |            (121), (131), (233) are inconsistent by sub-proof
% 243.73/48.15  | | | | | | | |            #833.
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | Case 2:
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | |   (234)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | | ALPHA: (234) implies:
% 243.73/48.15  | | | | | | | |   (235)  op2(e24, e20) = e20
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | | REF_CLOSE: (14), (25), (33), (41), (45), (49), (66), (67), (82),
% 243.73/48.15  | | | | | | | |            (111), (112), (235) are inconsistent by sub-proof
% 243.73/48.15  | | | | | | | |            #885.
% 243.73/48.15  | | | | | | | | 
% 243.73/48.15  | | | | | | | End of split
% 243.73/48.15  | | | | | | | 
% 243.73/48.15  | | | | | | End of split
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | End of split
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | Case 2:
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | |   (236)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 243.73/48.15  | | | | |            op2(e20, e22) = e21)
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | | BETA: splitting (236) gives:
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | | Case 1:
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | |   (237)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | | REF_CLOSE: (22), (25), (28), (29), (32), (33), (41), (49), (55),
% 243.73/48.15  | | | | | |            (67), (104), (107), (111), (112), (121), (131), (237) are
% 243.73/48.15  | | | | | |            inconsistent by sub-proof #707.
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | Case 2:
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | |   (238)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | | REF_CLOSE: (20), (22), (25), (29), (32), (33), (36), (41), (49),
% 243.73/48.15  | | | | | |            (55), (60), (67), (96), (104), (111), (112), (121),
% 243.73/48.15  | | | | | |            (124), (127), (131), (238) are inconsistent by sub-proof
% 243.73/48.15  | | | | | |            #849.
% 243.73/48.15  | | | | | | 
% 243.73/48.15  | | | | | End of split
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | End of split
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | End of split
% 243.73/48.15  | | | 
% 243.73/48.15  | | Case 2:
% 243.73/48.15  | | | 
% 243.73/48.15  | | |   (239)  all_24_5 = e24 & op2(e23, e22) = e24
% 243.73/48.15  | | | 
% 243.73/48.15  | | | REF_CLOSE: (20), (124), (239) are inconsistent by sub-proof #1301.
% 243.73/48.15  | | | 
% 243.73/48.15  | | End of split
% 243.73/48.15  | | 
% 243.73/48.15  | Case 2:
% 243.73/48.15  | | 
% 243.73/48.15  | |   (240)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.73/48.15  | |            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.73/48.15  | | 
% 243.73/48.15  | | BETA: splitting (240) gives:
% 243.73/48.15  | | 
% 243.73/48.15  | | Case 1:
% 243.73/48.15  | | | 
% 243.73/48.15  | | |   (241)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.73/48.15  | | | 
% 243.73/48.15  | | | REF_CLOSE: (41), (84), (117), (241) are inconsistent by sub-proof #705.
% 243.73/48.15  | | | 
% 243.73/48.15  | | Case 2:
% 243.73/48.15  | | | 
% 243.73/48.15  | | |   (242)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 243.73/48.15  | | |            op2(e20, e22) = e24)
% 243.73/48.15  | | | 
% 243.73/48.15  | | | BETA: splitting (242) gives:
% 243.73/48.15  | | | 
% 243.73/48.15  | | | Case 1:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (243)  all_24_14 = e24 & op2(e21, e22) = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | REF_CLOSE: (28), (111), (243) are inconsistent by sub-proof #709.
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | Case 2:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (244)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | ALPHA: (244) implies:
% 243.73/48.15  | | | |   (245)  all_24_22 = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | COMBINE_EQS: (127), (245) imply:
% 243.73/48.15  | | | |   (246)  e24 = e22
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | SIMP: (246) implies:
% 243.73/48.15  | | | |   (247)  e24 = e22
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | COMBINE_EQS: (43), (247) imply:
% 243.73/48.15  | | | |   (248)  all_24_7 = e22
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | REF_CLOSE: (20), (22), (25), (26), (27), (29), (32), (33), (36), (41),
% 243.73/48.15  | | | |            (42), (49), (52), (55), (60), (62), (67), (70), (80), (89),
% 243.73/48.15  | | | |            (96), (97), (100), (104), (107), (109), (111), (112), (114),
% 243.73/48.15  | | | |            (120), (121), (126), (128), (131), (248) are inconsistent by
% 243.73/48.15  | | | |            sub-proof #761.
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | End of split
% 243.73/48.15  | | | 
% 243.73/48.15  | | End of split
% 243.73/48.15  | | 
% 243.73/48.15  | End of split
% 243.73/48.15  | 
% 243.73/48.15  End of proof
% 243.73/48.15  
% 243.73/48.15  Sub-proof #333 shows that the following formulas are inconsistent:
% 243.73/48.15  ----------------------------------------------------------------
% 243.73/48.15    (1)  op2(e24, e22) = all_16_10
% 243.73/48.15    (2)   ~ (all_16_10 = e20)
% 243.73/48.15    (3)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.73/48.15           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.73/48.15           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.73/48.15    (4)  all_24_19 = e20
% 243.73/48.15    (5)   ~ (all_16_15 = e24)
% 243.73/48.15    (6)  op2(e23, unit2) = e23
% 243.73/48.15    (7)   ~ (e24 = e20)
% 243.73/48.15    (8)   ~ (e23 = e21)
% 243.73/48.15    (9)  all_24_6 = e23
% 243.73/48.15    (10)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.73/48.15              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.73/48.15            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.73/48.15    (11)  op2(e23, e21) = e24
% 243.73/48.15    (12)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.15            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.15            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.15    (13)  all_24_14 = e23
% 243.73/48.15    (14)  op2(e23, e23) = e21
% 243.73/48.15    (15)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.73/48.15              e23) = e20)
% 243.73/48.15    (16)  all_24_2 = e22
% 243.73/48.15    (17)   ~ (e23 = e22)
% 243.73/48.15    (18)  all_24_0 = e20
% 243.73/48.15    (19)   ~ (e22 = e20)
% 243.73/48.15    (20)  op2(e21, e23) = all_16_8
% 243.73/48.15    (21)   ~ (all_6_2 = e24)
% 243.73/48.15    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.15            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.15    (23)  all_24_7 = e24
% 243.73/48.15    (24)  op2(e23, e24) = e22
% 243.73/48.15    (25)  all_24_21 = e23
% 243.73/48.15    (26)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.73/48.15            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.73/48.15            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.73/48.15    (27)   ~ (e23 = e20)
% 243.73/48.15    (28)  all_24_9 = e23
% 243.73/48.15    (29)   ~ (all_16_7 = e23)
% 243.73/48.15    (30)  op2(e24, e23) = e22
% 243.73/48.15    (31)   ~ (e24 = e21)
% 243.73/48.15    (32)   ~ (e22 = e21)
% 243.73/48.15    (33)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.73/48.15            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.73/48.15            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.73/48.15    (34)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.73/48.15              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 243.73/48.15            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.73/48.15    (35)  op2(e24, unit2) = e24
% 243.73/48.15    (36)  op2(e23, e22) = e20
% 243.73/48.15    (37)  all_24_1 = e22
% 243.73/48.15    (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.73/48.15            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.73/48.15            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.73/48.15    (39)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.73/48.15    (40)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.15            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.73/48.15            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.73/48.15    (41)   ~ (all_16_8 = e23)
% 243.73/48.15    (42)  op2(e22, e23) = all_16_7
% 243.73/48.15    (43)   ~ (all_16_19 = e24)
% 243.73/48.15    (44)  op2(e21, e21) = all_6_2
% 243.73/48.15    (45)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.73/48.15            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.73/48.15            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.73/48.15    (46)   ~ (e21 = e20)
% 243.73/48.15    (47)  op2(e24, e21) = all_16_15
% 243.73/48.15    (48)   ~ (e24 = e22)
% 243.73/48.15    (49)  all_24_17 = e23
% 243.73/48.15    (50)   ~ (e24 = e23)
% 243.73/48.15    (51)  all_24_18 = e22
% 243.73/48.15    (52)  op2(e23, e21) = all_10_1
% 243.73/48.15    (53)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.15            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.73/48.15            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.73/48.15    (54)  op2(e20, e21) = all_16_19
% 243.73/48.15    (55)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.73/48.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.15    (56)  all_24_5 = e20
% 243.73/48.15    (57)  all_24_16 = e21
% 243.73/48.15    (58)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.73/48.15              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 243.73/48.15            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.73/48.15    (59)  all_24_4 = e24
% 243.73/48.15    (60)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.73/48.15            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.73/48.15            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.73/48.15    (61)  all_24_22 = e22
% 243.73/48.15    (62)  all_24_3 = e21
% 243.73/48.15    (63)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.73/48.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.15  
% 243.73/48.15  Begin of proof
% 243.73/48.15  | 
% 243.73/48.15  | BETA: splitting (15) gives:
% 243.73/48.15  | 
% 243.73/48.15  | Case 1:
% 243.73/48.15  | | 
% 243.73/48.15  | |   (64)  all_24_20 = e20 & op2(e20, e24) = e20
% 243.73/48.15  | | 
% 243.73/48.15  | | ALPHA: (64) implies:
% 243.73/48.15  | |   (65)  all_24_20 = e20
% 243.73/48.15  | | 
% 243.73/48.15  | | BETA: splitting (10) gives:
% 243.73/48.15  | | 
% 243.73/48.15  | | Case 1:
% 243.73/48.15  | | | 
% 243.73/48.15  | | |   (66)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 243.73/48.15  | | |           op2(e20, e23) = e24)
% 243.73/48.15  | | | 
% 243.73/48.15  | | | BETA: splitting (66) gives:
% 243.73/48.15  | | | 
% 243.73/48.15  | | | Case 1:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (67)  all_24_20 = e24 & op2(e20, e24) = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | REF_CLOSE: (7), (65), (67) are inconsistent by sub-proof #820.
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | Case 2:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (68)  all_24_21 = e24 & op2(e20, e23) = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | REF_CLOSE: (8), (14), (17), (20), (22), (29), (30), (41), (42), (50),
% 243.73/48.15  | | | |            (53), (68) are inconsistent by sub-proof #837.
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | End of split
% 243.73/48.15  | | | 
% 243.73/48.15  | | Case 2:
% 243.73/48.15  | | | 
% 243.73/48.15  | | |   (69)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 243.73/48.15  | | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.73/48.15  | | | 
% 243.73/48.15  | | | BETA: splitting (69) gives:
% 243.73/48.15  | | | 
% 243.73/48.15  | | | Case 1:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (70)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | ALPHA: (70) implies:
% 243.73/48.15  | | | |   (71)  all_24_22 = e24
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | COMBINE_EQS: (61), (71) imply:
% 243.73/48.15  | | | |   (72)  e24 = e22
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | COMBINE_EQS: (59), (72) imply:
% 243.73/48.15  | | | |   (73)  all_24_4 = e22
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | REF_CLOSE: (5), (7), (8), (11), (14), (16), (17), (18), (19), (22),
% 243.73/48.15  | | | |            (26), (27), (28), (30), (31), (32), (36), (37), (38), (45),
% 243.73/48.15  | | | |            (46), (47), (48), (49), (50), (52), (55), (56), (63), (73)
% 243.73/48.15  | | | |            are inconsistent by sub-proof #858.
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | Case 2:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | |   (74)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 243.73/48.15  | | | |           op2(e20, e20) = e24)
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | BETA: splitting (74) gives:
% 243.73/48.15  | | | | 
% 243.73/48.15  | | | | Case 1:
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | |   (75)  all_24_23 = e24 & op2(e20, e21) = e24
% 243.73/48.15  | | | | | 
% 243.73/48.15  | | | | | ALPHA: (75) implies:
% 243.73/48.16  | | | | |   (76)  op2(e20, e21) = e24
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | | REF_CLOSE: (22), (43), (54), (76) are inconsistent by sub-proof #769.
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | Case 2:
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | |   (77)  all_24_24 = e24 & op2(e20, e20) = e24
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | | ALPHA: (77) implies:
% 243.73/48.16  | | | | |   (78)  all_24_24 = e24
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | | BETA: splitting (3) gives:
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | | Case 1:
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | |   (79)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 &
% 243.73/48.16  | | | | | |           op2(e23, e24) = e21)
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | | REF_CLOSE: (1), (2), (6), (7), (8), (11), (12), (14), (16), (17),
% 243.73/48.16  | | | | | |            (19), (22), (24), (27), (28), (30), (31), (32), (33),
% 243.73/48.16  | | | | | |            (35), (36), (39), (45), (46), (48), (49), (50), (52),
% 243.73/48.16  | | | | | |            (55), (56), (63), (79) are inconsistent by sub-proof
% 243.73/48.16  | | | | | |            #882.
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | Case 2:
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | |   (80)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.73/48.16  | | | | | |           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) =
% 243.73/48.16  | | | | | |           e21)
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | | BETA: splitting (80) gives:
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | | Case 1:
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | |   (81)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | | REF_CLOSE: (8), (9), (11), (14), (16), (17), (22), (27), (31),
% 243.73/48.16  | | | | | | |            (36), (48), (49), (50), (52), (55), (63), (81) are
% 243.73/48.16  | | | | | | |            inconsistent by sub-proof #355.
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | Case 2:
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | |   (82)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21
% 243.73/48.16  | | | | | | |           & op2(e20, e24) = e21)
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | | BETA: splitting (82) gives:
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | | Case 1:
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | |   (83)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | | REF_CLOSE: (4), (7), (8), (11), (12), (13), (14), (16), (17),
% 243.73/48.16  | | | | | | | |            (19), (20), (21), (22), (23), (25), (27), (29), (30),
% 243.73/48.16  | | | | | | | |            (31), (32), (34), (36), (37), (40), (41), (42), (44),
% 243.73/48.16  | | | | | | | |            (46), (48), (49), (50), (52), (53), (55), (60), (62),
% 243.73/48.16  | | | | | | | |            (63), (83) are inconsistent by sub-proof #334.
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | Case 2:
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | |   (84)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | | ALPHA: (84) implies:
% 243.73/48.16  | | | | | | | |   (85)  all_24_20 = e21
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | | COMBINE_EQS: (65), (85) imply:
% 243.73/48.16  | | | | | | | |   (86)  e21 = e20
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | | COMBINE_EQS: (57), (86) imply:
% 243.73/48.16  | | | | | | | |   (87)  all_24_16 = e20
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | | REF_CLOSE: (4), (7), (8), (11), (14), (16), (17), (19), (22),
% 243.73/48.16  | | | | | | | |            (27), (31), (32), (36), (45), (46), (48), (50), (51),
% 243.73/48.16  | | | | | | | |            (52), (55), (56), (58), (63), (78), (87) are
% 243.73/48.16  | | | | | | | |            inconsistent by sub-proof #635.
% 243.73/48.16  | | | | | | | | 
% 243.73/48.16  | | | | | | | End of split
% 243.73/48.16  | | | | | | | 
% 243.73/48.16  | | | | | | End of split
% 243.73/48.16  | | | | | | 
% 243.73/48.16  | | | | | End of split
% 243.73/48.16  | | | | | 
% 243.73/48.16  | | | | End of split
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | End of split
% 243.73/48.16  | | | 
% 243.73/48.16  | | End of split
% 243.73/48.16  | | 
% 243.73/48.16  | Case 2:
% 243.73/48.16  | | 
% 243.73/48.16  | |   (88)  all_24_21 = e20 & op2(e20, e23) = e20
% 243.73/48.16  | | 
% 243.73/48.16  | | ALPHA: (88) implies:
% 243.73/48.16  | |   (89)  all_24_21 = e20
% 243.73/48.16  | | 
% 243.73/48.16  | | COMBINE_EQS: (25), (89) imply:
% 243.73/48.16  | |   (90)  e23 = e20
% 243.73/48.16  | | 
% 243.73/48.16  | | REF_CLOSE: (7), (8), (11), (12), (14), (16), (17), (22), (27), (31), (32),
% 243.73/48.16  | |            (36), (46), (48), (49), (50), (52), (55), (63), (90) are
% 243.73/48.16  | |            inconsistent by sub-proof #833.
% 243.73/48.16  | | 
% 243.73/48.16  | End of split
% 243.73/48.16  | 
% 243.73/48.16  End of proof
% 243.73/48.16  
% 243.73/48.16  Sub-proof #334 shows that the following formulas are inconsistent:
% 243.73/48.16  ----------------------------------------------------------------
% 243.73/48.16    (1)  all_24_19 = e20
% 243.73/48.16    (2)   ~ (e24 = e20)
% 243.73/48.16    (3)   ~ (e23 = e21)
% 243.73/48.16    (4)  op2(e23, e21) = e24
% 243.73/48.16    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.16    (6)  all_24_14 = e23
% 243.73/48.16    (7)  op2(e23, e23) = e21
% 243.73/48.16    (8)  all_24_2 = e22
% 243.73/48.16    (9)   ~ (e23 = e22)
% 243.73/48.16    (10)   ~ (e22 = e20)
% 243.73/48.16    (11)  op2(e21, e23) = all_16_8
% 243.73/48.16    (12)   ~ (all_6_2 = e24)
% 243.73/48.16    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.16            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.16    (14)  all_24_7 = e24
% 243.73/48.16    (15)  all_24_21 = e23
% 243.73/48.16    (16)   ~ (e23 = e20)
% 243.73/48.16    (17)   ~ (all_16_7 = e23)
% 243.73/48.16    (18)  op2(e24, e23) = e22
% 243.73/48.16    (19)   ~ (e24 = e21)
% 243.73/48.16    (20)   ~ (e22 = e21)
% 243.73/48.16    (21)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.73/48.16              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 243.73/48.16            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.73/48.16    (22)  op2(e23, e22) = e20
% 243.73/48.16    (23)  all_24_1 = e22
% 243.73/48.16    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.16            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.73/48.16            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.73/48.16    (25)   ~ (all_16_8 = e23)
% 243.73/48.16    (26)  op2(e22, e23) = all_16_7
% 243.73/48.16    (27)  op2(e21, e21) = all_6_2
% 243.73/48.16    (28)   ~ (e21 = e20)
% 243.73/48.16    (29)   ~ (e24 = e22)
% 243.73/48.16    (30)  all_24_17 = e23
% 243.73/48.16    (31)   ~ (e24 = e23)
% 243.73/48.16    (32)  op2(e23, e21) = all_10_1
% 243.73/48.16    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.16            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.73/48.16            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.73/48.16    (34)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.73/48.16    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.73/48.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.16    (36)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.73/48.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.73/48.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.73/48.16    (37)  all_24_3 = e21
% 243.73/48.16    (38)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.73/48.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.16  
% 243.73/48.16  Begin of proof
% 243.73/48.16  | 
% 243.73/48.16  | ALPHA: (34) implies:
% 243.73/48.16  |   (39)  all_24_12 = e21
% 243.73/48.16  | 
% 243.73/48.16  | BETA: splitting (21) gives:
% 243.73/48.16  | 
% 243.73/48.16  | Case 1:
% 243.73/48.16  | | 
% 243.73/48.16  | |   (40)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 &
% 243.73/48.16  | |           op2(e21, e23) = e24)
% 243.73/48.16  | | 
% 243.73/48.16  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (13), (14), (15),
% 243.73/48.16  | |            (16), (17), (18), (19), (20), (22), (23), (24), (25), (26), (28),
% 243.73/48.16  | |            (29), (30), (31), (32), (33), (35), (36), (37), (38), (39), (40)
% 243.73/48.16  | |            are inconsistent by sub-proof #335.
% 243.73/48.16  | | 
% 243.73/48.16  | Case 2:
% 243.73/48.16  | | 
% 243.73/48.16  | |   (41)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 &
% 243.73/48.16  | |           op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 243.73/48.16  | | 
% 243.73/48.16  | | BETA: splitting (41) gives:
% 243.73/48.16  | | 
% 243.73/48.16  | | Case 1:
% 243.73/48.16  | | | 
% 243.73/48.16  | | |   (42)  all_24_14 = e24 & op2(e21, e22) = e24
% 243.73/48.16  | | | 
% 243.73/48.16  | | | REF_CLOSE: (6), (31), (42) are inconsistent by sub-proof #502.
% 243.73/48.16  | | | 
% 243.73/48.16  | | Case 2:
% 243.73/48.16  | | | 
% 243.73/48.16  | | |   (43)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 &
% 243.73/48.16  | | |           op2(e21, e20) = e24)
% 243.73/48.16  | | | 
% 243.73/48.16  | | | BETA: splitting (43) gives:
% 243.73/48.16  | | | 
% 243.73/48.16  | | | Case 1:
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | |   (44)  all_24_15 = e24 & op2(e21, e21) = e24
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | | REF_CLOSE: (12), (13), (27), (44) are inconsistent by sub-proof #738.
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | Case 2:
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | |   (45)  all_24_19 = e24 & op2(e21, e20) = e24
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | | REF_CLOSE: (1), (2), (45) are inconsistent by sub-proof #597.
% 243.73/48.16  | | | | 
% 243.73/48.16  | | | End of split
% 243.73/48.16  | | | 
% 243.73/48.16  | | End of split
% 243.73/48.16  | | 
% 243.73/48.16  | End of split
% 243.73/48.16  | 
% 243.73/48.16  End of proof
% 243.73/48.16  
% 243.73/48.16  Sub-proof #335 shows that the following formulas are inconsistent:
% 243.73/48.16  ----------------------------------------------------------------
% 243.73/48.16    (1)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 243.73/48.16             e23) = e24)
% 243.73/48.16    (2)   ~ (e24 = e20)
% 243.73/48.16    (3)   ~ (e23 = e21)
% 243.73/48.16    (4)  op2(e23, e21) = e24
% 243.73/48.16    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.16    (6)  op2(e23, e23) = e21
% 243.73/48.16    (7)  all_24_2 = e22
% 243.73/48.16    (8)   ~ (e23 = e22)
% 243.73/48.16    (9)   ~ (e22 = e20)
% 243.73/48.16    (10)  op2(e21, e23) = all_16_8
% 243.73/48.16    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.16            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.16    (12)  all_24_7 = e24
% 243.73/48.16    (13)  all_24_21 = e23
% 243.73/48.16    (14)   ~ (e23 = e20)
% 243.73/48.16    (15)   ~ (all_16_7 = e23)
% 243.73/48.16    (16)  op2(e24, e23) = e22
% 243.73/48.16    (17)   ~ (e24 = e21)
% 243.73/48.16    (18)   ~ (e22 = e21)
% 243.73/48.16    (19)  op2(e23, e22) = e20
% 243.73/48.16    (20)  all_24_1 = e22
% 243.73/48.16    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.16            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.73/48.16            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.73/48.16    (22)   ~ (all_16_8 = e23)
% 243.73/48.16    (23)  op2(e22, e23) = all_16_7
% 243.73/48.16    (24)   ~ (e21 = e20)
% 243.73/48.16    (25)  all_24_12 = e21
% 243.73/48.16    (26)   ~ (e24 = e22)
% 243.73/48.16    (27)  all_24_17 = e23
% 243.73/48.16    (28)   ~ (e24 = e23)
% 243.73/48.16    (29)  op2(e23, e21) = all_10_1
% 243.73/48.16    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.16            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.73/48.16            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.73/48.16    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.73/48.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.16    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.73/48.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.73/48.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.73/48.16    (33)  all_24_3 = e21
% 243.73/48.16    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.73/48.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.16  
% 243.73/48.16  Begin of proof
% 243.73/48.16  | 
% 243.73/48.16  | BETA: splitting (1) gives:
% 243.73/48.16  | 
% 243.73/48.16  | Case 1:
% 243.73/48.16  | | 
% 243.73/48.16  | |   (35)  all_24_12 = e24 & op2(e21, e24) = e24
% 243.73/48.16  | | 
% 243.73/48.16  | | ALPHA: (35) implies:
% 243.73/48.16  | |   (36)  all_24_12 = e24
% 243.73/48.16  | | 
% 243.73/48.16  | | COMBINE_EQS: (25), (36) imply:
% 243.73/48.16  | |   (37)  e24 = e21
% 243.73/48.16  | | 
% 243.73/48.16  | | COMBINE_EQS: (12), (37) imply:
% 243.73/48.16  | |   (38)  all_24_7 = e21
% 243.73/48.16  | | 
% 243.73/48.16  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 243.73/48.16  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (26),
% 243.73/48.16  | |            (27), (28), (29), (30), (31), (32), (33), (34), (38) are
% 243.73/48.16  | |            inconsistent by sub-proof #744.
% 243.73/48.16  | | 
% 243.73/48.16  | Case 2:
% 243.73/48.16  | | 
% 243.73/48.16  | |   (39)  all_24_13 = e24 & op2(e21, e23) = e24
% 243.73/48.16  | | 
% 243.73/48.16  | | ALPHA: (39) implies:
% 243.73/48.16  | |   (40)  all_24_13 = e24
% 243.73/48.16  | | 
% 243.73/48.16  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 243.73/48.16  | |            (16), (17), (18), (19), (24), (26), (27), (28), (29), (31), (32),
% 243.73/48.16  | |            (34), (40) are inconsistent by sub-proof #831.
% 243.73/48.16  | | 
% 243.73/48.16  | End of split
% 243.73/48.16  | 
% 243.73/48.16  End of proof
% 243.73/48.16  
% 243.73/48.16  Sub-proof #336 shows that the following formulas are inconsistent:
% 243.73/48.16  ----------------------------------------------------------------
% 243.73/48.16    (1)  op2(e24, e22) = all_16_10
% 243.73/48.16    (2)   ~ (all_16_10 = all_4_2)
% 243.73/48.16    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.73/48.16           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.73/48.16           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.73/48.16    (4)   ~ (all_16_10 = e20)
% 243.73/48.16    (5)  op2(e22, all_4_2) = all_4_1
% 243.73/48.16    (6)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.73/48.16             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.73/48.16           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.16    (7)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.73/48.16           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.73/48.16           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.73/48.16    (8)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.73/48.16           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.73/48.16           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.73/48.16    (9)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 243.73/48.16             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 243.73/48.16           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 243.73/48.17    (10)  op2(e22, unit2) = e22
% 243.73/48.17    (11)   ~ (all_16_15 = e24)
% 243.73/48.17    (12)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 243.73/48.17              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 243.73/48.17            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.73/48.17    (13)  op2(e23, unit2) = e23
% 243.73/48.17    (14)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.73/48.17              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.73/48.17            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.73/48.17    (15)  op2(e20, e24) = all_16_4
% 243.73/48.17    (16)   ~ (all_16_14 = e23)
% 243.73/48.17    (17)   ~ (all_16_14 = all_4_2)
% 243.73/48.17    (18)   ~ (all_16_22 = all_4_2)
% 243.73/48.17    (19)   ~ (e24 = e20)
% 243.73/48.17    (20)   ~ (e23 = e21)
% 243.73/48.17    (21)  all_24_6 = e23
% 243.73/48.17    (22)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.73/48.17              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.73/48.17            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.73/48.17    (23)  op2(e23, e21) = e24
% 243.73/48.17    (24)   ~ (all_16_1 = e21)
% 243.73/48.17    (25)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.17            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.17            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.17    (26)  all_24_14 = e23
% 243.73/48.17    (27)  op2(e23, e23) = e21
% 243.73/48.17    (28)  op2(e22, e20) = all_16_22
% 243.73/48.17    (29)   ~ (all_16_4 = e23)
% 243.73/48.17    (30)  all_24_2 = e22
% 243.73/48.17    (31)   ~ (e23 = e22)
% 243.73/48.17    (32)   ~ (all_16_7 = all_4_2)
% 243.73/48.17    (33)  op2(e20, unit2) = e20
% 243.73/48.17    (34)  op2(e21, e23) = all_16_8
% 243.73/48.17    (35)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.73/48.17            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.73/48.17            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.73/48.17    (36)   ~ (all_16_7 = all_16_8)
% 243.73/48.17    (37)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.17            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.17    (38)   ~ (all_16_8 = e21)
% 243.73/48.17    (39)  op2(e23, e24) = e22
% 243.73/48.17    (40)  op2(e22, all_4_0) = all_4_3
% 243.73/48.17    (41)  all_24_21 = e23
% 243.73/48.17    (42)   ~ (e23 = e20)
% 243.73/48.17    (43)  all_24_9 = e23
% 243.73/48.17    (44)   ~ (all_16_7 = e23)
% 243.73/48.17    (45)  op2(e24, e23) = e22
% 243.73/48.17    (46)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.73/48.17              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.73/48.17            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.73/48.17    (47)   ~ (all_16_10 = e22)
% 243.73/48.17    (48)   ~ (e24 = e21)
% 243.73/48.17    (49)  op2(e20, e22) = all_16_14
% 243.73/48.17    (50)   ~ (all_16_17 = e23)
% 243.73/48.17    (51)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.73/48.17              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.73/48.17            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.73/48.17    (52)  op2(e21, all_6_2) = all_6_1
% 243.73/48.17    (53)   ~ (e22 = e21)
% 243.73/48.17    (54)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.73/48.17            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.73/48.17            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.73/48.17    (55)   ~ (all_16_1 = e20)
% 243.73/48.17    (56)   ~ (all_16_17 = e24)
% 243.73/48.17    (57)  op2(e24, unit2) = e24
% 243.73/48.17    (58)  op2(e23, e22) = e20
% 243.73/48.17    (59)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.73/48.17              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.73/48.17            e20 & op2(e20, e21) = e20)
% 243.73/48.17    (60)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.73/48.17            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.73/48.17            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.73/48.17    (61)   ~ (all_16_1 = e23)
% 243.73/48.17    (62)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 243.73/48.17              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 243.73/48.17            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.17    (63)   ~ (all_16_20 = e22)
% 243.73/48.17    (64)   ~ (all_4_2 = e23)
% 243.73/48.17    (65)   ~ (all_16_22 = all_8_2)
% 243.73/48.17    (66)   ~ (all_16_14 = e20)
% 243.73/48.17    (67)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.73/48.17              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.73/48.17            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.73/48.17    (68)   ~ (all_16_4 = all_16_19)
% 243.73/48.17    (69)  op2(e24, e20) = all_16_20
% 243.73/48.17    (70)   ~ (all_16_19 = e23)
% 243.73/48.17    (71)  all_24_1 = e22
% 243.73/48.17    (72)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.73/48.17            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.73/48.17            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.73/48.17    (73)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.73/48.17    (74)   ~ (all_16_17 = all_16_22)
% 243.73/48.17    (75)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 243.73/48.17            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.73/48.17            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.73/48.17    (76)   ~ (all_16_17 = all_4_2)
% 243.73/48.17    (77)  op2(e22, e21) = all_16_17
% 243.73/48.17    (78)  op2(all_6_1, e21) = all_6_0
% 243.73/48.17    (79)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.17            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.73/48.17            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.73/48.17    (80)   ~ (all_16_22 = e23)
% 243.73/48.17    (81)   ~ (all_16_8 = e23)
% 243.73/48.17    (82)  op2(e22, e23) = all_16_7
% 243.73/48.17    (83)   ~ (all_16_19 = e24)
% 243.73/48.17    (84)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.73/48.17              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.73/48.17            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.73/48.17    (85)  op2(e21, e21) = all_6_2
% 243.73/48.17    (86)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.73/48.17            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.73/48.17            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.73/48.17    (87)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.73/48.17    (88)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.73/48.17            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.73/48.17            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.73/48.17    (89)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.73/48.17            = e20)
% 243.73/48.17    (90)   ~ (all_16_4 = e22)
% 243.73/48.17    (91)   ~ (all_16_7 = e22)
% 243.73/48.17    (92)   ~ (e21 = e20)
% 243.73/48.17    (93)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 243.73/48.17            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 243.73/48.17            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.73/48.17    (94)  op2(e24, e21) = all_16_15
% 243.73/48.17    (95)   ~ (all_16_7 = all_16_17)
% 243.73/48.17    (96)   ~ (e24 = e22)
% 243.73/48.17    (97)  op2(e22, e24) = e23
% 243.73/48.17    (98)  op2(e20, e20) = all_8_2
% 243.73/48.17    (99)  all_24_17 = e23
% 243.73/48.17    (100)  op2(e21, e22) = e23
% 243.73/48.17    (101)  op2(e23, e24) = all_16_1
% 243.73/48.17    (102)   ~ (all_16_7 = e21)
% 243.73/48.17    (103)   ~ (e24 = e23)
% 243.73/48.17    (104)  op2(e23, e21) = all_10_1
% 243.73/48.17    (105)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 243.73/48.17               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 243.73/48.17             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.73/48.17    (106)  op2(all_4_1, e22) = all_4_0
% 243.73/48.17    (107)  op2(e21, unit2) = e21
% 243.73/48.17    (108)  op2(e22, e22) = all_4_2
% 243.73/48.17    (109)  op2(e20, e21) = all_16_19
% 243.73/48.17    (110)   ~ (all_16_8 = e22)
% 243.73/48.17    (111)  all_20_5 = all_16_1
% 243.73/48.17    (112)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 243.73/48.17               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 243.73/48.17             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.17    (113)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.73/48.17               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 243.73/48.17             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.73/48.17    (114)  all_24_5 = e20
% 243.73/48.17    (115)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.73/48.17               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.73/48.17             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.73/48.17             e21)
% 243.73/48.17    (116)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.73/48.17               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.73/48.17             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.73/48.17    (117)  all_24_3 = e21
% 243.73/48.17    (118)   ~ (all_16_7 = all_16_22)
% 243.73/48.17    (119)   ~ (all_16_10 = e23)
% 243.73/48.17    (120)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.73/48.17               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.73/48.17             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.17  
% 243.73/48.17  Begin of proof
% 243.73/48.17  | 
% 243.73/48.17  | BETA: splitting (89) gives:
% 243.73/48.17  | 
% 243.73/48.17  | Case 1:
% 243.73/48.17  | | 
% 243.73/48.17  | |   (121)  all_24_6 = e20 & op2(e22, e24) = e20
% 243.73/48.17  | | 
% 243.73/48.17  | | REF_CLOSE: (19), (20), (21), (23), (25), (27), (30), (31), (37), (42), (48),
% 243.73/48.17  | |            (53), (58), (92), (96), (99), (103), (104), (112), (120), (121)
% 243.73/48.17  | |            are inconsistent by sub-proof #558.
% 243.73/48.17  | | 
% 243.73/48.17  | Case 2:
% 243.73/48.17  | | 
% 243.73/48.17  | |   (122)  all_24_7 = e20 & op2(e22, e23) = e20
% 243.73/48.17  | | 
% 243.73/48.17  | | ALPHA: (122) implies:
% 243.73/48.17  | |   (123)  all_24_7 = e20
% 243.73/48.17  | |   (124)  op2(e22, e23) = e20
% 243.73/48.17  | | 
% 243.73/48.17  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 243.73/48.17  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 243.73/48.17  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 243.73/48.17  | |            (35), (36), (37), (38), (39), (40), (41), (43), (44), (45), (46),
% 243.73/48.17  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 243.73/48.17  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 243.73/48.17  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 243.73/48.17  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (90), (91),
% 243.73/48.17  | |            (93), (94), (95), (96), (97), (98), (99), (100), (101), (102),
% 243.73/48.17  | |            (103), (104), (105), (106), (107), (108), (109), (110), (111),
% 243.73/48.17  | |            (112), (113), (114), (115), (116), (117), (118), (119), (120),
% 243.73/48.17  | |            (123), (124) are inconsistent by sub-proof #340.
% 243.73/48.17  | | 
% 243.73/48.17  | End of split
% 243.73/48.17  | 
% 243.73/48.17  End of proof
% 243.73/48.17  
% 243.73/48.17  Sub-proof #337 shows that the following formulas are inconsistent:
% 243.73/48.17  ----------------------------------------------------------------
% 243.73/48.18    (1)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.73/48.18             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.73/48.18           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.18    (2)  op2(e22, unit2) = e22
% 243.73/48.18    (3)  op2(e23, unit2) = e23
% 243.73/48.18    (4)   ~ (e24 = e20)
% 243.73/48.18    (5)   ~ (e23 = e21)
% 243.73/48.18    (6)  op2(e23, e21) = e24
% 243.73/48.18    (7)   ~ (all_16_1 = e21)
% 243.73/48.18    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.18           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.18           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.18    (9)  op2(e23, e23) = e21
% 243.73/48.18    (10)  all_24_2 = e22
% 243.73/48.18    (11)   ~ (e23 = e22)
% 243.73/48.18    (12)   ~ (e22 = e20)
% 243.73/48.18    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.18            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.18    (14)  op2(e23, e24) = e22
% 243.73/48.18    (15)   ~ (e23 = e20)
% 243.73/48.18    (16)   ~ (e24 = e21)
% 243.73/48.18    (17)   ~ (e22 = e21)
% 243.73/48.18    (18)   ~ (all_16_1 = e20)
% 243.73/48.18    (19)  op2(e23, e22) = e20
% 243.73/48.18    (20)   ~ (all_16_1 = e23)
% 243.73/48.18    (21)   ~ (all_16_20 = e22)
% 243.73/48.18    (22)  op2(e24, e20) = all_16_20
% 243.73/48.18    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.73/48.18    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.73/48.18            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.73/48.18            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.73/48.18    (25)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.73/48.18    (26)   ~ (e21 = e20)
% 243.73/48.18    (27)   ~ (e24 = e22)
% 243.73/48.18    (28)  op2(e20, e20) = all_8_2
% 243.73/48.18    (29)  all_24_18 = e20 & op2(e22, e20) = e20
% 243.73/48.18    (30)  op2(e23, e24) = all_16_1
% 243.73/48.18    (31)   ~ (e24 = e23)
% 243.73/48.18    (32)  op2(e23, e21) = all_10_1
% 243.73/48.18    (33)   ~ (all_8_2 = e22)
% 243.73/48.18    (34)  op2(e21, unit2) = e21
% 243.73/48.18    (35)  all_20_5 = all_16_1
% 243.73/48.18    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.73/48.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.18    (37)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.73/48.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.18  
% 243.73/48.18  Begin of proof
% 243.73/48.18  | 
% 243.73/48.18  | ALPHA: (29) implies:
% 243.73/48.18  |   (38)  all_24_18 = e20
% 243.73/48.18  |   (39)  op2(e22, e20) = e20
% 243.73/48.18  | 
% 243.73/48.18  | BETA: splitting (1) gives:
% 243.73/48.18  | 
% 243.73/48.18  | Case 1:
% 243.73/48.18  | | 
% 243.73/48.18  | |   (40)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 243.73/48.18  | |           op2(e23, e20) = e22)
% 243.73/48.18  | | 
% 243.73/48.18  | | REF_CLOSE: (5), (6), (7), (9), (11), (13), (15), (18), (19), (20), (21),
% 243.73/48.18  | |            (22), (25), (30), (31), (32), (35), (37), (40) are inconsistent
% 243.73/48.18  | |            by sub-proof #805.
% 243.73/48.18  | | 
% 243.73/48.18  | Case 2:
% 243.73/48.18  | | 
% 243.73/48.18  | |   (41)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 243.73/48.18  | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.18  | | 
% 243.73/48.18  | | BETA: splitting (41) gives:
% 243.73/48.18  | | 
% 243.73/48.18  | | Case 1:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (42)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.73/48.18  | | | 
% 243.73/48.18  | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (12), (13), (15), (16),
% 243.73/48.18  | | |            (17), (19), (24), (26), (27), (31), (32), (36), (37), (38),
% 243.73/48.18  | | |            (42) are inconsistent by sub-proof #553.
% 243.73/48.18  | | | 
% 243.73/48.18  | | Case 2:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (43)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 243.73/48.18  | | |           op2(e20, e20) = e22)
% 243.73/48.18  | | | 
% 243.73/48.18  | | | BETA: splitting (43) gives:
% 243.73/48.18  | | | 
% 243.73/48.18  | | | Case 1:
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | |   (44)  all_24_19 = e22 & op2(e21, e20) = e22
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | | ALPHA: (44) implies:
% 243.73/48.18  | | | |   (45)  op2(e21, e20) = e22
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | | REF_CLOSE: (2), (3), (6), (11), (13), (14), (15), (19), (23), (31),
% 243.73/48.18  | | | |            (32), (34), (39), (45) are inconsistent by sub-proof #536.
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | Case 2:
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | |   (46)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | | REF_CLOSE: (13), (28), (33), (46) are inconsistent by sub-proof #338.
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | End of split
% 243.73/48.18  | | | 
% 243.73/48.18  | | End of split
% 243.73/48.18  | | 
% 243.73/48.18  | End of split
% 243.73/48.18  | 
% 243.73/48.18  End of proof
% 243.73/48.18  
% 243.73/48.18  Sub-proof #338 shows that the following formulas are inconsistent:
% 243.73/48.18  ----------------------------------------------------------------
% 243.73/48.18    (1)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.73/48.18    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.18    (3)  op2(e20, e20) = all_8_2
% 243.73/48.18    (4)   ~ (all_8_2 = e22)
% 243.73/48.18  
% 243.73/48.18  Begin of proof
% 243.73/48.18  | 
% 243.73/48.18  | ALPHA: (1) implies:
% 243.73/48.18  |   (5)  op2(e20, e20) = e22
% 243.73/48.18  | 
% 243.73/48.18  | GROUND_INST: instantiating (2) with all_8_2, e22, e20, e20, simplifying with
% 243.73/48.18  |              (3), (5) gives:
% 243.73/48.18  |   (6)  all_8_2 = e22
% 243.73/48.18  | 
% 243.73/48.18  | REDUCE: (4), (6) imply:
% 243.73/48.18  |   (7)  $false
% 243.73/48.18  | 
% 243.73/48.18  | CLOSE: (7) is inconsistent.
% 243.73/48.18  | 
% 243.73/48.18  End of proof
% 243.73/48.18  
% 243.73/48.18  Sub-proof #339 shows that the following formulas are inconsistent:
% 243.73/48.18  ----------------------------------------------------------------
% 243.73/48.18    (1)   ~ (all_16_15 = e24)
% 243.73/48.18    (2)   ~ (e24 = e20)
% 243.73/48.18    (3)   ~ (e23 = e21)
% 243.73/48.18    (4)  op2(e23, e21) = e24
% 243.73/48.18    (5)  op2(e23, e23) = e21
% 243.73/48.18    (6)  all_24_2 = e22
% 243.73/48.18    (7)   ~ (e23 = e22)
% 243.73/48.18    (8)  all_24_0 = e20
% 243.73/48.18    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.18    (10)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 243.73/48.18            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 243.73/48.18            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.73/48.18    (11)   ~ (e23 = e20)
% 243.73/48.18    (12)  all_24_9 = e23
% 243.73/48.18    (13)  op2(e24, e23) = e22
% 243.73/48.18    (14)   ~ (e24 = e21)
% 243.73/48.18    (15)   ~ (e22 = e21)
% 243.73/48.18    (16)  op2(e23, e22) = e20
% 243.73/48.18    (17)  all_24_1 = e22
% 243.73/48.18    (18)  all_24_16 = e20
% 243.73/48.18    (19)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.73/48.18            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.73/48.18            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.73/48.18    (20)   ~ (e21 = e20)
% 243.73/48.18    (21)  op2(e24, e21) = all_16_15
% 243.73/48.18    (22)   ~ (e24 = e22)
% 243.73/48.18    (23)  all_24_17 = e23
% 243.73/48.18    (24)   ~ (e24 = e23)
% 243.73/48.18    (25)  op2(e23, e21) = all_10_1
% 243.73/48.18    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.73/48.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.73/48.18    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.73/48.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.73/48.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.73/48.18  
% 243.73/48.18  Begin of proof
% 243.73/48.18  | 
% 243.73/48.18  | BETA: splitting (10) gives:
% 243.73/48.18  | 
% 243.73/48.18  | Case 1:
% 243.73/48.18  | | 
% 243.73/48.18  | |   (28)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 243.73/48.18  | |             e23) = e21)
% 243.73/48.18  | | 
% 243.73/48.18  | | BETA: splitting (28) gives:
% 243.73/48.18  | | 
% 243.73/48.18  | | Case 1:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (29)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.73/48.18  | | | 
% 243.73/48.18  | | | REF_CLOSE: (8), (20), (29) are inconsistent by sub-proof #881.
% 243.73/48.18  | | | 
% 243.73/48.18  | | Case 2:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (30)  all_24_1 = e21 & op2(e24, e23) = e21
% 243.73/48.18  | | | 
% 243.73/48.18  | | | REF_CLOSE: (9), (13), (15), (30) are inconsistent by sub-proof #866.
% 243.73/48.18  | | | 
% 243.73/48.18  | | End of split
% 243.73/48.18  | | 
% 243.73/48.18  | Case 2:
% 243.73/48.18  | | 
% 243.73/48.18  | |   (31)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 243.73/48.18  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 243.73/48.18  | | 
% 243.73/48.18  | | BETA: splitting (31) gives:
% 243.73/48.18  | | 
% 243.73/48.18  | | Case 1:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (32)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.73/48.18  | | | 
% 243.73/48.18  | | | ALPHA: (32) implies:
% 243.73/48.18  | | |   (33)  all_24_4 = e21
% 243.73/48.18  | | | 
% 243.73/48.18  | | | REF_CLOSE: (1), (2), (8), (9), (14), (17), (18), (19), (21), (22), (33)
% 243.73/48.18  | | |            are inconsistent by sub-proof #751.
% 243.73/48.18  | | | 
% 243.73/48.18  | | Case 2:
% 243.73/48.18  | | | 
% 243.73/48.18  | | |   (34)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 243.73/48.18  | | |           op2(e24, e20) = e21)
% 243.73/48.18  | | | 
% 243.73/48.18  | | | BETA: splitting (34) gives:
% 243.73/48.18  | | | 
% 243.73/48.18  | | | Case 1:
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | |   (35)  all_24_9 = e21 & op2(e24, e21) = e21
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (11), (12), (14), (16), (22),
% 243.73/48.18  | | | |            (23), (24), (25), (26), (27), (35) are inconsistent by
% 243.73/48.18  | | | |            sub-proof #864.
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | Case 2:
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | |   (36)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | | REF_CLOSE: (18), (20), (36) are inconsistent by sub-proof #497.
% 243.73/48.18  | | | | 
% 243.73/48.18  | | | End of split
% 243.73/48.18  | | | 
% 243.73/48.18  | | End of split
% 243.73/48.18  | | 
% 243.73/48.18  | End of split
% 243.73/48.18  | 
% 243.73/48.18  End of proof
% 243.73/48.18  
% 243.73/48.18  Sub-proof #340 shows that the following formulas are inconsistent:
% 243.73/48.18  ----------------------------------------------------------------
% 243.73/48.18    (1)  op2(e24, e22) = all_16_10
% 243.73/48.18    (2)   ~ (all_16_10 = all_4_2)
% 243.73/48.18    (3)  all_24_7 = e20
% 243.73/48.18    (4)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 243.73/48.18           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 243.73/48.18           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 243.73/48.18    (5)   ~ (all_16_10 = e20)
% 243.73/48.18    (6)  op2(e22, all_4_2) = all_4_1
% 243.73/48.18    (7)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.73/48.18             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.73/48.18           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.18    (8)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.73/48.18           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.73/48.18           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.73/48.18    (9)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.73/48.18           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.73/48.18           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.73/48.18    (10)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 243.73/48.18              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 243.73/48.18            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 243.73/48.18    (11)  op2(e22, unit2) = e22
% 243.73/48.18    (12)   ~ (all_16_15 = e24)
% 243.73/48.18    (13)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 243.73/48.18              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 243.73/48.18            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.73/48.18    (14)  op2(e23, unit2) = e23
% 243.73/48.18    (15)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.73/48.18              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.73/48.18            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.73/48.18    (16)  op2(e20, e24) = all_16_4
% 243.73/48.18    (17)   ~ (all_16_14 = e23)
% 243.73/48.18    (18)   ~ (all_16_14 = all_4_2)
% 243.73/48.18    (19)   ~ (all_16_22 = all_4_2)
% 243.73/48.18    (20)   ~ (e24 = e20)
% 243.73/48.18    (21)   ~ (e23 = e21)
% 243.73/48.18    (22)  all_24_6 = e23
% 243.73/48.18    (23)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.73/48.18              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.73/48.18            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.73/48.18    (24)  op2(e23, e21) = e24
% 243.73/48.18    (25)   ~ (all_16_1 = e21)
% 243.73/48.18    (26)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.73/48.18            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.73/48.18            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.73/48.18    (27)  all_24_14 = e23
% 243.73/48.18    (28)  op2(e23, e23) = e21
% 243.73/48.18    (29)  op2(e22, e20) = all_16_22
% 243.73/48.18    (30)   ~ (all_16_4 = e23)
% 243.73/48.18    (31)  all_24_2 = e22
% 243.73/48.18    (32)   ~ (e23 = e22)
% 243.73/48.18    (33)   ~ (all_16_7 = all_4_2)
% 243.73/48.18    (34)  op2(e20, unit2) = e20
% 243.73/48.18    (35)  op2(e21, e23) = all_16_8
% 243.73/48.18    (36)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.73/48.18            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.73/48.18            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.73/48.18    (37)   ~ (all_16_7 = all_16_8)
% 243.73/48.19    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.73/48.19            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.73/48.19    (39)   ~ (all_16_8 = e21)
% 243.73/48.19    (40)  op2(e23, e24) = e22
% 243.73/48.19    (41)  op2(e22, all_4_0) = all_4_3
% 243.73/48.19    (42)  all_24_21 = e23
% 243.73/48.19    (43)  all_24_9 = e23
% 243.73/48.19    (44)   ~ (all_16_7 = e23)
% 243.73/48.19    (45)  op2(e24, e23) = e22
% 243.73/48.19    (46)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.73/48.19              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.73/48.19            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.73/48.19    (47)   ~ (all_16_10 = e22)
% 243.73/48.19    (48)   ~ (e24 = e21)
% 243.73/48.19    (49)  op2(e20, e22) = all_16_14
% 243.73/48.19    (50)   ~ (all_16_17 = e23)
% 243.73/48.19    (51)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.73/48.19              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.73/48.19            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.73/48.19    (52)  op2(e21, all_6_2) = all_6_1
% 243.73/48.19    (53)   ~ (e22 = e21)
% 243.73/48.19    (54)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.73/48.19            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.73/48.19            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.73/48.19    (55)   ~ (all_16_1 = e20)
% 243.73/48.19    (56)   ~ (all_16_17 = e24)
% 243.73/48.19    (57)  op2(e24, unit2) = e24
% 243.73/48.19    (58)  op2(e23, e22) = e20
% 243.73/48.19    (59)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.73/48.19              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.73/48.19            e20 & op2(e20, e21) = e20)
% 243.73/48.19    (60)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.73/48.19            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.73/48.19            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.73/48.19    (61)   ~ (all_16_1 = e23)
% 243.73/48.19    (62)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 243.73/48.19              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 243.73/48.19            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.73/48.19    (63)   ~ (all_16_20 = e22)
% 243.73/48.19    (64)   ~ (all_4_2 = e23)
% 243.73/48.19    (65)   ~ (all_16_22 = all_8_2)
% 243.73/48.19    (66)   ~ (all_16_14 = e20)
% 243.73/48.19    (67)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.73/48.19              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.73/48.19            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.73/48.19    (68)   ~ (all_16_4 = all_16_19)
% 243.73/48.19    (69)  op2(e24, e20) = all_16_20
% 243.73/48.19    (70)   ~ (all_16_19 = e23)
% 243.73/48.19    (71)  all_24_1 = e22
% 243.73/48.19    (72)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.73/48.19            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.73/48.19            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.73/48.19    (73)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.73/48.19    (74)   ~ (all_16_17 = all_16_22)
% 243.73/48.19    (75)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 243.73/48.19            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 243.73/48.19            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 243.73/48.19    (76)   ~ (all_16_17 = all_4_2)
% 243.73/48.19    (77)  op2(e22, e21) = all_16_17
% 243.73/48.19    (78)  op2(all_6_1, e21) = all_6_0
% 243.73/48.19    (79)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.73/48.19            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.73/48.19            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.73/48.19    (80)   ~ (all_16_22 = e23)
% 243.73/48.19    (81)   ~ (all_16_8 = e23)
% 243.73/48.19    (82)  op2(e22, e23) = all_16_7
% 243.73/48.19    (83)   ~ (all_16_19 = e24)
% 243.73/48.19    (84)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.73/48.19              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.73/48.19            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.73/48.19    (85)  op2(e21, e21) = all_6_2
% 243.73/48.19    (86)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.73/48.19            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.73/48.19            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.73/48.19    (87)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.73/48.19    (88)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.73/48.19            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.73/48.19            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.73/48.19    (89)  op2(e22, e23) = e20
% 243.73/48.19    (90)   ~ (all_16_4 = e22)
% 243.73/48.19    (91)   ~ (all_16_7 = e22)
% 243.73/48.19    (92)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 243.73/48.19            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 243.73/48.19            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.73/48.19    (93)  op2(e24, e21) = all_16_15
% 243.73/48.19    (94)   ~ (all_16_7 = all_16_17)
% 243.73/48.19    (95)   ~ (e24 = e22)
% 243.73/48.19    (96)  op2(e22, e24) = e23
% 243.73/48.19    (97)  op2(e20, e20) = all_8_2
% 243.73/48.19    (98)  all_24_17 = e23
% 243.73/48.19    (99)  op2(e21, e22) = e23
% 243.73/48.19    (100)  op2(e23, e24) = all_16_1
% 243.73/48.19    (101)   ~ (all_16_7 = e21)
% 243.73/48.19    (102)   ~ (e24 = e23)
% 243.73/48.19    (103)  op2(e23, e21) = all_10_1
% 243.73/48.19    (104)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 243.73/48.19               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 243.73/48.19             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.73/48.19    (105)  op2(all_4_1, e22) = all_4_0
% 243.73/48.19    (106)  op2(e21, unit2) = e21
% 243.73/48.19    (107)  op2(e22, e22) = all_4_2
% 243.73/48.19    (108)  op2(e20, e21) = all_16_19
% 243.73/48.19    (109)   ~ (all_16_8 = e22)
% 243.73/48.19    (110)  all_20_5 = all_16_1
% 243.84/48.19    (111)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 243.84/48.19               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 243.84/48.19             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.84/48.19    (112)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.84/48.19               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 243.84/48.19             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.19    (113)  all_24_5 = e20
% 243.84/48.19    (114)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.84/48.19               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 243.84/48.19             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 243.84/48.19             e21)
% 243.84/48.19    (115)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 243.84/48.19               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 243.84/48.19             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.84/48.19    (116)  all_24_3 = e21
% 243.84/48.19    (117)   ~ (all_16_7 = all_16_22)
% 243.84/48.19    (118)   ~ (all_16_10 = e23)
% 243.84/48.19    (119)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 243.84/48.19               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 243.84/48.19             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.84/48.19  
% 243.84/48.19  Begin of proof
% 243.84/48.19  | 
% 243.84/48.19  | BETA: splitting (79) gives:
% 243.84/48.19  | 
% 243.84/48.19  | Case 1:
% 243.84/48.19  | | 
% 243.84/48.19  | |   (120)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 243.84/48.19  | |              e23) = e24)
% 243.84/48.19  | | 
% 243.84/48.19  | | BETA: splitting (120) gives:
% 243.84/48.19  | | 
% 243.84/48.19  | | Case 1:
% 243.84/48.19  | | | 
% 243.84/48.19  | | |   (121)  all_24_1 = e24 & op2(e24, e23) = e24
% 243.84/48.19  | | | 
% 243.84/48.19  | | | REF_CLOSE: (71), (95), (121) are inconsistent by sub-proof #870.
% 243.84/48.19  | | | 
% 243.84/48.19  | | Case 2:
% 243.84/48.19  | | | 
% 243.84/48.19  | | |   (122)  all_24_3 = e24 & op2(e23, e23) = e24
% 243.84/48.19  | | | 
% 243.84/48.19  | | | REF_CLOSE: (48), (116), (122) are inconsistent by sub-proof #1323.
% 243.84/48.19  | | | 
% 243.84/48.19  | | End of split
% 243.84/48.19  | | 
% 243.84/48.19  | Case 2:
% 243.84/48.19  | | 
% 243.84/48.19  | |   (123)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.84/48.19  | |            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.84/48.19  | | 
% 243.84/48.19  | | BETA: splitting (123) gives:
% 243.84/48.19  | | 
% 243.84/48.19  | | Case 1:
% 243.84/48.19  | | | 
% 243.84/48.19  | | |   (124)  all_24_7 = e24 & op2(e22, e23) = e24
% 243.84/48.19  | | | 
% 243.84/48.19  | | | ALPHA: (124) implies:
% 243.84/48.19  | | |   (125)  all_24_7 = e24
% 243.84/48.19  | | | 
% 243.84/48.19  | | | REF_CLOSE: (3), (20), (125) are inconsistent by sub-proof #869.
% 243.84/48.19  | | | 
% 243.84/48.19  | | Case 2:
% 243.84/48.19  | | | 
% 243.84/48.19  | | |   (126)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 243.84/48.19  | | |            op2(e20, e23) = e24)
% 243.84/48.19  | | | 
% 243.84/48.19  | | | BETA: splitting (126) gives:
% 243.84/48.19  | | | 
% 243.84/48.19  | | | Case 1:
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | |   (127)  all_24_13 = e24 & op2(e21, e23) = e24
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | ALPHA: (127) implies:
% 243.84/48.19  | | | |   (128)  all_24_13 = e24
% 243.84/48.19  | | | |   (129)  op2(e21, e23) = e24
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | GROUND_INST: instantiating (38) with all_16_8, e24, e23, e21,
% 243.84/48.19  | | | |              simplifying with (35), (129) gives:
% 243.84/48.19  | | | |   (130)  all_16_8 = e24
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | GROUND_INST: instantiating (38) with all_16_7, e20, e23, e22,
% 243.84/48.19  | | | |              simplifying with (82), (89) gives:
% 243.84/48.19  | | | |   (131)  all_16_7 = e20
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (37), (130), (131) imply:
% 243.84/48.19  | | | |   (132)   ~ (e24 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (94), (131) imply:
% 243.84/48.19  | | | |   (133)   ~ (all_16_17 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (133) implies:
% 243.84/48.19  | | | |   (134)   ~ (all_16_17 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (117), (131) imply:
% 243.84/48.19  | | | |   (135)   ~ (all_16_22 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (135) implies:
% 243.84/48.19  | | | |   (136)   ~ (all_16_22 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (33), (131) imply:
% 243.84/48.19  | | | |   (137)   ~ (all_4_2 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (137) implies:
% 243.84/48.19  | | | |   (138)   ~ (all_4_2 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (44), (131) imply:
% 243.84/48.19  | | | |   (139)   ~ (e23 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (139) implies:
% 243.84/48.19  | | | |   (140)   ~ (e23 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (91), (131) imply:
% 243.84/48.19  | | | |   (141)   ~ (e22 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (141) implies:
% 243.84/48.19  | | | |   (142)   ~ (e22 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | REDUCE: (101), (131) imply:
% 243.84/48.19  | | | |   (143)   ~ (e21 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | SIMP: (143) implies:
% 243.84/48.19  | | | |   (144)   ~ (e21 = e20)
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | BETA: splitting (88) gives:
% 243.84/48.19  | | | | 
% 243.84/48.19  | | | | Case 1:
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | |   (145)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 &
% 243.84/48.19  | | | | |            op2(e22, e23) = e24)
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | | REF_CLOSE: (20), (21), (22), (24), (26), (28), (31), (32), (38), (42),
% 243.84/48.19  | | | | |            (45), (48), (53), (58), (71), (79), (95), (98), (102),
% 243.84/48.19  | | | | |            (103), (111), (115), (116), (119), (128), (140), (142),
% 243.84/48.19  | | | | |            (144), (145) are inconsistent by sub-proof #380.
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | Case 2:
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | |   (146)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.84/48.19  | | | | |            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) =
% 243.84/48.19  | | | | |            e24)
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | | BETA: splitting (146) gives:
% 243.84/48.19  | | | | | 
% 243.84/48.19  | | | | | Case 1:
% 243.84/48.19  | | | | | | 
% 243.84/48.19  | | | | | |   (147)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.84/48.19  | | | | | | 
% 243.84/48.19  | | | | | | ALPHA: (147) implies:
% 243.84/48.19  | | | | | |   (148)  all_24_8 = e24
% 243.84/48.19  | | | | | | 
% 243.84/48.19  | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12),
% 243.84/48.19  | | | | | |            (13), (14), (16), (17), (18), (19), (20), (21), (22),
% 243.84/48.19  | | | | | |            (23), (24), (25), (26), (27), (28), (29), (31), (32),
% 243.84/48.19  | | | | | |            (34), (35), (36), (38), (40), (41), (42), (43), (44),
% 243.84/48.19  | | | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 243.84/48.19  | | | | | |            (54), (55), (57), (58), (59), (60), (61), (64), (66),
% 243.84/48.19  | | | | | |            (67), (68), (70), (71), (72), (73), (74), (76), (77),
% 243.84/48.19  | | | | | |            (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 243.84/48.19  | | | | | |            (87), (88), (92), (93), (95), (96), (98), (99), (100),
% 243.84/48.19  | | | | | |            (102), (103), (104), (105), (106), (107), (108), (109),
% 243.84/48.19  | | | | | |            (110), (111), (112), (113), (114), (115), (116), (118),
% 243.84/48.19  | | | | | |            (119), (128), (134), (136), (138), (140), (142), (144),
% 243.84/48.19  | | | | | |            (147), (148) are inconsistent by sub-proof #360.
% 243.84/48.19  | | | | | | 
% 243.84/48.19  | | | | | Case 2:
% 243.84/48.19  | | | | | | 
% 243.84/48.20  | | | | | |   (149)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 = e24
% 243.84/48.20  | | | | | |            & op2(e22, e20) = e24)
% 243.84/48.20  | | | | | | 
% 243.84/48.20  | | | | | | BETA: splitting (149) gives:
% 243.84/48.20  | | | | | | 
% 243.84/48.20  | | | | | | Case 1:
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | |   (150)  all_24_11 = e24 & op2(e22, e21) = e24
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | REF_CLOSE: (38), (56), (77), (150) are inconsistent by sub-proof
% 243.84/48.20  | | | | | | |            #829.
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | Case 2:
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | |   (151)  all_24_18 = e24 & op2(e22, e20) = e24
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | ALPHA: (151) implies:
% 243.84/48.20  | | | | | | |   (152)  all_24_18 = e24
% 243.84/48.20  | | | | | | |   (153)  op2(e22, e20) = e24
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | GROUND_INST: instantiating (38) with all_16_22, e24, e20, e22,
% 243.84/48.20  | | | | | | |              simplifying with (29), (153) gives:
% 243.84/48.20  | | | | | | |   (154)  all_16_22 = e24
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | REDUCE: (65), (154) imply:
% 243.84/48.20  | | | | | | |   (155)   ~ (all_8_2 = e24)
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | SIMP: (155) implies:
% 243.84/48.20  | | | | | | |   (156)   ~ (all_8_2 = e24)
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | BETA: splitting (75) gives:
% 243.84/48.20  | | | | | | | 
% 243.84/48.20  | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | 
% 243.84/48.20  | | | | | | | |   (157)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 =
% 243.84/48.20  | | | | | | | |            e24 & op2(e23, e22) = e24)
% 243.84/48.20  | | | | | | | | 
% 243.84/48.20  | | | | | | | | BETA: splitting (157) gives:
% 243.84/48.20  | | | | | | | | 
% 243.84/48.20  | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | 
% 243.84/48.20  | | | | | | | | |   (158)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.84/48.20  | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | ALPHA: (158) implies:
% 243.84/48.20  | | | | | | | | |   (159)  all_24_4 = e24
% 243.84/48.20  | | | | | | | | |   (160)  op2(e24, e22) = e24
% 243.84/48.20  | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | GROUND_INST: instantiating (38) with all_16_10, e24, e22, e24,
% 243.84/48.20  | | | | | | | | |              simplifying with (1), (160) gives:
% 243.84/48.20  | | | | | | | | |   (161)  all_16_10 = e24
% 243.84/48.20  | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | BETA: splitting (23) gives:
% 243.84/48.20  | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | |   (162)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 243.84/48.20  | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.84/48.20  | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | BETA: splitting (162) gives:
% 243.84/48.20  | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | |   (163)  all_24_20 = e24 & op2(e20, e24) = e24
% 243.84/48.20  | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | ALPHA: (163) implies:
% 243.84/48.20  | | | | | | | | | | |   (164)  all_24_20 = e24
% 243.84/48.20  | | | | | | | | | | |   (165)  op2(e20, e24) = e24
% 243.84/48.20  | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | BETA: splitting (59) gives:
% 243.84/48.20  | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | |   (166)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 243.84/48.20  | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | REF_CLOSE: (20), (21), (24), (26), (28), (31), (32), (38),
% 243.84/48.20  | | | | | | | | | | | |            (42), (48), (53), (58), (95), (98), (102), (103),
% 243.84/48.20  | | | | | | | | | | | |            (111), (119), (140), (144), (164), (166) are
% 243.84/48.20  | | | | | | | | | | | |            inconsistent by sub-proof #359.
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | |   (167)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 243.84/48.20  | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | BETA: splitting (167) gives:
% 243.84/48.20  | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | |   (168)  all_24_22 = e20 & op2(e20, e22) = e20
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | ALPHA: (168) implies:
% 243.84/48.20  | | | | | | | | | | | | |   (169)  all_24_22 = e20
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | REF_CLOSE: (1), (20), (21), (24), (25), (26), (27), (28),
% 243.84/48.20  | | | | | | | | | | | | |            (31), (32), (38), (47), (48), (53), (55), (58),
% 243.84/48.20  | | | | | | | | | | | | |            (60), (61), (86), (87), (92), (95), (98), (100),
% 243.84/48.20  | | | | | | | | | | | | |            (102), (103), (110), (111), (113), (119), (140),
% 243.84/48.20  | | | | | | | | | | | | |            (142), (144), (159), (169) are inconsistent by
% 243.84/48.20  | | | | | | | | | | | | |            sub-proof #357.
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | |   (170)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | ALPHA: (170) implies:
% 243.84/48.20  | | | | | | | | | | | | |   (171)  all_24_23 = e20
% 243.84/48.20  | | | | | | | | | | | | |   (172)  op2(e20, e21) = e20
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_16_19, e20, e21, e20,
% 243.84/48.20  | | | | | | | | | | | | |              simplifying with (108), (172) gives:
% 243.84/48.20  | | | | | | | | | | | | |   (173)  all_16_19 = e20
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_16_4, e24, e24, e20,
% 243.84/48.20  | | | | | | | | | | | | |              simplifying with (16), (165) gives:
% 243.84/48.20  | | | | | | | | | | | | |   (174)  all_16_4 = e24
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 243.84/48.20  | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | |   (175)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 243.84/48.20  | | | | | | | | | | | | | |            = e21 & op2(e23, e22) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | |   (176)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | REF_CLOSE: (48), (159), (176) are inconsistent by sub-proof
% 243.84/48.20  | | | | | | | | | | | | | | |            #759.
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | |   (177)  all_24_5 = e21 & op2(e23, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | REF_CLOSE: (38), (58), (144), (177) are inconsistent by
% 243.84/48.20  | | | | | | | | | | | | | | |            sub-proof #1318.
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | |   (178)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | |          (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 243.84/48.20  | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | |   (179)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 243.84/48.20  | | | | | | | | | | | | | | |   (180)  all_24_8 = e21
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (14), (15), (20), (21), (22),
% 243.84/48.20  | | | | | | | | | | | | | | |            (23), (24), (25), (26), (27), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | |            (35), (38), (40), (42), (43), (44), (45), (46),
% 243.84/48.20  | | | | | | | | | | | | | | |            (47), (48), (51), (53), (54), (55), (57), (58),
% 243.84/48.20  | | | | | | | | | | | | | | |            (59), (60), (61), (63), (67), (69), (73), (81),
% 243.84/48.20  | | | | | | | | | | | | | | |            (82), (83), (84), (86), (87), (95), (98), (100),
% 243.84/48.20  | | | | | | | | | | | | | | |            (102), (103), (104), (108), (110), (111), (113),
% 243.84/48.20  | | | | | | | | | | | | | | |            (119), (128), (140), (142), (144), (152), (164),
% 243.84/48.20  | | | | | | | | | | | | | | |            (171), (180) are inconsistent by sub-proof #353.
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | |   (181)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | |   (182)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (24), (27), (28), (31), (32), (38), (48),
% 243.84/48.20  | | | | | | | | | | | | | | | |            (58), (95), (98), (102), (103), (111), (119),
% 243.84/48.20  | | | | | | | | | | | | | | | |            (140), (182) are inconsistent by sub-proof #707.
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | |   (183)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | |   (184)  all_24_22 = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | |   (185)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 243.84/48.20  | | | | | | | | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (24), (26), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | |            (38), (42), (45), (48), (53), (58), (95), (98),
% 243.84/48.20  | | | | | | | | | | | | | | | | |            (102), (103), (111), (115), (119), (128), (140),
% 243.84/48.20  | | | | | | | | | | | | | | | | |            (142), (144), (185) are inconsistent by sub-proof
% 243.84/48.20  | | | | | | | | | | | | | | | | |            #691.
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | |   (186)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | |          (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | |   (187)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | |   (188)  all_24_8 = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (14), (15), (20), (21), (22),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (23), (24), (25), (26), (27), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (35), (38), (40), (42), (43), (44), (45), (46),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (47), (48), (51), (53), (54), (55), (57), (58),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (59), (60), (61), (63), (67), (69), (73), (81),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (82), (83), (84), (86), (87), (95), (98), (100),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (102), (103), (104), (108), (110), (111), (113),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (119), (128), (140), (142), (144), (152), (164),
% 243.84/48.20  | | | | | | | | | | | | | | | | | |            (171), (188) are inconsistent by sub-proof #353.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | |   (189)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | |   (190)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | |   (191)  all_24_11 = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |   (192)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (21), (24), (26), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |            (38), (40), (44), (45), (48), (53), (58), (71),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |            (79), (82), (86), (90), (95), (98), (102), (103),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |            (104), (111), (115), (116), (119), (140), (142),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |            (144), (192) are inconsistent by sub-proof #775.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |   (193)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |   (194)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (14), (15), (20), (21), (22),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (23), (24), (25), (26), (27), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (35), (38), (40), (42), (43), (44), (45), (46),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (48), (51), (53), (54), (55), (57), (58), (59),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (61), (63), (67), (69), (73), (81), (82), (83),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (84), (86), (87), (95), (98), (100), (102), (103),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (104), (108), (110), (111), (113), (119), (128),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            (140), (142), (144), (152), (164), (171), (194)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #354.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |   (195)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |   (196)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (24), (26), (28), (31), (32), (38),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |            (48), (53), (58), (86), (95), (102), (103), (111),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |            (119), (140), (142), (144), (171), (196) are
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #370.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |   (197)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |   (198)  all_24_24 = e22
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | |   (199)  op2(e20, e20) = e22
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (14), (20), (21), (24), (26), (28),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (38), (40), (43), (45), (48), (53),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |            (54), (57), (58), (73), (86), (95), (98), (102),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |            (103), (111), (113), (119), (140), (142), (144),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |            (200) are inconsistent by sub-proof #882.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (24), (28), (31), (32), (38), (48),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | |            (58), (95), (98), (102), (103), (111), (119),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | |            (140), (202) are inconsistent by sub-proof #704.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_24_12 = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_24_12 = e20 & op2(e21, e24) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_24_12 = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (205), (208) are inconsistent by sub-proof
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #703.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_24_13 = e20 & op2(e21, e23) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_24_13 = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (210) imply:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  e24 = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (23), (28), (32), (35), (38), (44),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (48), (81), (82), (83), (95), (102), (104),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (164), (184), (198), (211) are inconsistent
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #349.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_24_14 = e20 & op2(e21, e22) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (24), (26), (27), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (48), (53), (58), (95), (98), (102), (103),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (119), (140), (144), (213) are inconsistent
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_24_15 = e20 & op2(e21, e21) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_24_15 = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (24), (25), (26), (28), (31), (32),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (43), (48), (53), (55), (58), (61), (67),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (87), (95), (98), (100), (102), (103),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (111), (113), (119), (140), (142), (144),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (171), (191), (216) are inconsistent by sub-proof
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #369.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_24_19 = e20 & op2(e21, e20) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  op2(e21, e20) = e20
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (21), (24), (28), (31), (32), (34),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (40), (48), (57), (58), (73), (95), (102),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (111), (119), (140), (153), (199), (219)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #347.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (24), (32), (38), (40), (53), (58),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (102), (103), (140), (221) are inconsistent
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #797.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  op2(e21, e20) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (144), (218), (224) are inconsistent by
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #781.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (24), (28), (31), (32), (38), (48),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (58), (86), (95), (102), (103), (111),
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (119), (140), (142), (198), (225) are
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #639.
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_24_20 = e21
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (164), (227) are inconsistent by sub-proof
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | |            #576.
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | |   (228)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (24), (32), (38), (40), (53), (58),
% 243.84/48.21  | | | | | | | | | | | | | | | | | | |            (73), (102), (103), (140), (228) are inconsistent
% 243.84/48.21  | | | | | | | | | | | | | | | | | | |            by sub-proof #797.
% 243.84/48.21  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | |   (229)  all_24_21 = e24 & op2(e20, e23) = e24
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | REF_CLOSE: (21), (28), (32), (35), (38), (44), (45), (81),
% 243.84/48.21  | | | | | | | | | | |            (82), (102), (104), (229) are inconsistent by
% 243.84/48.21  | | | | | | | | | | |            sub-proof #837.
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | |   (230)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 243.84/48.21  | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 243.84/48.21  | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | BETA: splitting (230) gives:
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | Case 1:
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | |   (231)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | ALPHA: (231) implies:
% 243.84/48.21  | | | | | | | | | | |   (232)  all_24_22 = e24
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (8), (9), (11), (12), (14), (16),
% 243.84/48.21  | | | | | | | | | | |            (20), (21), (22), (24), (25), (26), (27), (28),
% 243.84/48.21  | | | | | | | | | | |            (31), (32), (34), (35), (36), (38), (40), (42),
% 243.84/48.21  | | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (53), (54),
% 243.84/48.21  | | | | | | | | | | |            (55), (56), (57), (58), (59), (60), (61), (62),
% 243.84/48.21  | | | | | | | | | | |            (67), (71), (72), (73), (77), (79), (81), (82),
% 243.84/48.21  | | | | | | | | | | |            (84), (86), (87), (88), (90), (92), (93), (95),
% 243.84/48.21  | | | | | | | | | | |            (98), (100), (102), (103), (104), (110), (111),
% 243.84/48.21  | | | | | | | | | | |            (112), (113), (114), (115), (116), (119), (128),
% 243.84/48.21  | | | | | | | | | | |            (140), (142), (144), (152), (153), (232) are
% 243.84/48.21  | | | | | | | | | | |            inconsistent by sub-proof #342.
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | |   (233)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 243.84/48.21  | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | | REF_CLOSE: (38), (83), (97), (108), (156), (233) are
% 243.84/48.21  | | | | | | | | | | |            inconsistent by sub-proof #341.
% 243.84/48.21  | | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | |   (234)  all_24_5 = e24 & op2(e23, e22) = e24
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | REF_CLOSE: (20), (113), (234) are inconsistent by sub-proof
% 243.84/48.21  | | | | | | | | |            #1301.
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | 
% 243.84/48.21  | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | 
% 243.84/48.21  | | | | | | | |   (235)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 =
% 243.84/48.21  | | | | | | | |            e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 243.84/48.21  | | | | | | | |            op2(e20, e22) = e24)
% 243.84/48.21  | | | | | | | | 
% 243.84/48.21  | | | | | | | | BETA: splitting (235) gives:
% 243.84/48.21  | | | | | | | | 
% 243.84/48.21  | | | | | | | | Case 1:
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | |   (236)  all_24_8 = e24 & op2(e22, e22) = e24
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | ALPHA: (236) implies:
% 243.84/48.21  | | | | | | | | |   (237)  all_24_8 = e24
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11),
% 243.84/48.21  | | | | | | | | |            (12), (13), (14), (16), (17), (18), (19), (20),
% 243.84/48.21  | | | | | | | | |            (21), (22), (23), (24), (25), (26), (27), (28),
% 243.84/48.21  | | | | | | | | |            (29), (31), (32), (34), (35), (36), (38), (40),
% 243.84/48.21  | | | | | | | | |            (41), (42), (43), (44), (45), (46), (47), (48),
% 243.84/48.21  | | | | | | | | |            (49), (50), (51), (52), (53), (54), (55), (57),
% 243.84/48.21  | | | | | | | | |            (58), (59), (60), (61), (64), (66), (67), (68),
% 243.84/48.21  | | | | | | | | |            (70), (71), (72), (73), (74), (76), (77), (78),
% 243.84/48.21  | | | | | | | | |            (79), (80), (81), (82), (83), (84), (85), (86),
% 243.84/48.21  | | | | | | | | |            (87), (88), (92), (93), (95), (96), (98), (99),
% 243.84/48.21  | | | | | | | | |            (100), (102), (103), (104), (105), (106), (107),
% 243.84/48.21  | | | | | | | | |            (108), (109), (110), (111), (112), (113), (114),
% 243.84/48.21  | | | | | | | | |            (115), (116), (118), (119), (128), (134), (136),
% 243.84/48.21  | | | | | | | | |            (138), (140), (142), (144), (236), (237) are
% 243.84/48.21  | | | | | | | | |            inconsistent by sub-proof #360.
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | |   (238)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22
% 243.84/48.21  | | | | | | | | |            = e24 & op2(e20, e22) = e24)
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | BETA: splitting (238) gives:
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | Case 1:
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | |   (239)  all_24_14 = e24 & op2(e21, e22) = e24
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | ALPHA: (239) implies:
% 243.84/48.21  | | | | | | | | | |   (240)  all_24_14 = e24
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | COMBINE_EQS: (27), (240) imply:
% 243.84/48.21  | | | | | | | | | |   (241)  e24 = e23
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | SIMP: (241) implies:
% 243.84/48.21  | | | | | | | | | |   (242)  e24 = e23
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | COMBINE_EQS: (128), (242) imply:
% 243.84/48.21  | | | | | | | | | |   (243)  all_24_13 = e23
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | REF_CLOSE: (20), (21), (24), (26), (28), (31), (32), (38),
% 243.84/48.21  | | | | | | | | | |            (42), (45), (48), (53), (58), (71), (79), (95),
% 243.84/48.21  | | | | | | | | | |            (98), (102), (103), (111), (115), (116), (119),
% 243.84/48.21  | | | | | | | | | |            (140), (142), (144), (243) are inconsistent by
% 243.84/48.21  | | | | | | | | | |            sub-proof #842.
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | Case 2:
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | |   (244)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | ALPHA: (244) implies:
% 243.84/48.21  | | | | | | | | | |   (245)  all_24_22 = e24
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | | REF_CLOSE: (1), (3), (5), (8), (9), (11), (12), (14), (16),
% 243.84/48.21  | | | | | | | | | |            (20), (21), (22), (24), (25), (26), (27), (28),
% 243.84/48.21  | | | | | | | | | |            (31), (32), (34), (35), (36), (38), (40), (42),
% 243.84/48.21  | | | | | | | | | |            (43), (44), (45), (46), (47), (48), (53), (54),
% 243.84/48.21  | | | | | | | | | |            (55), (56), (57), (58), (59), (60), (61), (62),
% 243.84/48.21  | | | | | | | | | |            (67), (71), (72), (73), (77), (79), (81), (82),
% 243.84/48.21  | | | | | | | | | |            (84), (86), (87), (88), (90), (92), (93), (95),
% 243.84/48.21  | | | | | | | | | |            (98), (100), (102), (103), (104), (110), (111),
% 243.84/48.21  | | | | | | | | | |            (112), (113), (114), (115), (116), (119), (128),
% 243.84/48.21  | | | | | | | | | |            (140), (142), (144), (152), (153), (245) are
% 243.84/48.21  | | | | | | | | | |            inconsistent by sub-proof #342.
% 243.84/48.21  | | | | | | | | | | 
% 243.84/48.21  | | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | | 
% 243.84/48.21  | | | | | | | | End of split
% 243.84/48.21  | | | | | | | | 
% 243.84/48.21  | | | | | | | End of split
% 243.84/48.21  | | | | | | | 
% 243.84/48.21  | | | | | | End of split
% 243.84/48.21  | | | | | | 
% 243.84/48.21  | | | | | End of split
% 243.84/48.21  | | | | | 
% 243.84/48.21  | | | | End of split
% 243.84/48.21  | | | | 
% 243.84/48.21  | | | Case 2:
% 243.84/48.21  | | | | 
% 243.84/48.21  | | | |   (246)  all_24_21 = e24 & op2(e20, e23) = e24
% 243.84/48.21  | | | | 
% 243.84/48.21  | | | | REF_CLOSE: (21), (28), (32), (35), (38), (44), (45), (81), (82), (102),
% 243.84/48.21  | | | |            (104), (246) are inconsistent by sub-proof #837.
% 243.84/48.21  | | | | 
% 243.84/48.21  | | | End of split
% 243.84/48.21  | | | 
% 243.84/48.21  | | End of split
% 243.84/48.21  | | 
% 243.84/48.21  | End of split
% 243.84/48.21  | 
% 243.84/48.21  End of proof
% 243.84/48.21  
% 243.84/48.21  Sub-proof #341 shows that the following formulas are inconsistent:
% 243.84/48.21  ----------------------------------------------------------------
% 243.84/48.21    (1)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 243.84/48.21             e20) = e24)
% 243.84/48.21    (2)   ~ (all_8_2 = e24)
% 243.84/48.21    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.21           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.21    (4)   ~ (all_16_19 = e24)
% 243.84/48.21    (5)  op2(e20, e20) = all_8_2
% 243.84/48.21    (6)  op2(e20, e21) = all_16_19
% 243.84/48.21  
% 243.84/48.21  Begin of proof
% 243.84/48.21  | 
% 243.84/48.21  | BETA: splitting (1) gives:
% 243.84/48.21  | 
% 243.84/48.21  | Case 1:
% 243.84/48.21  | | 
% 243.84/48.21  | |   (7)  all_24_23 = e24 & op2(e20, e21) = e24
% 243.84/48.21  | | 
% 243.84/48.21  | | ALPHA: (7) implies:
% 243.84/48.21  | |   (8)  op2(e20, e21) = e24
% 243.84/48.21  | | 
% 243.84/48.21  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #769.
% 243.84/48.21  | | 
% 243.84/48.21  | Case 2:
% 243.84/48.21  | | 
% 243.84/48.21  | |   (9)  all_24_24 = e24 & op2(e20, e20) = e24
% 243.84/48.21  | | 
% 243.84/48.21  | | ALPHA: (9) implies:
% 243.84/48.21  | |   (10)  op2(e20, e20) = e24
% 243.84/48.21  | | 
% 243.84/48.21  | | GROUND_INST: instantiating (3) with all_8_2, e24, e20, e20, simplifying with
% 243.84/48.21  | |              (5), (10) gives:
% 243.84/48.21  | |   (11)  all_8_2 = e24
% 243.84/48.21  | | 
% 243.84/48.21  | | REDUCE: (2), (11) imply:
% 243.84/48.21  | |   (12)  $false
% 243.84/48.21  | | 
% 243.84/48.21  | | CLOSE: (12) is inconsistent.
% 243.84/48.21  | | 
% 243.84/48.21  | End of split
% 243.84/48.21  | 
% 243.84/48.21  End of proof
% 243.84/48.21  
% 243.84/48.21  Sub-proof #342 shows that the following formulas are inconsistent:
% 243.84/48.21  ----------------------------------------------------------------
% 243.84/48.21    (1)  op2(e24, e22) = all_16_10
% 243.84/48.21    (2)  all_24_7 = e20
% 243.84/48.21    (3)   ~ (all_16_10 = e20)
% 243.84/48.21    (4)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.84/48.21           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.84/48.21           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.84/48.21    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.84/48.21           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.84/48.21           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.84/48.21    (6)  op2(e22, unit2) = e22
% 243.84/48.21    (7)   ~ (all_16_15 = e24)
% 243.84/48.21    (8)  op2(e23, unit2) = e23
% 243.84/48.21    (9)  op2(e20, e24) = all_16_4
% 243.84/48.21    (10)   ~ (e24 = e20)
% 243.84/48.21    (11)   ~ (e23 = e21)
% 243.84/48.21    (12)  all_24_6 = e23
% 243.84/48.21    (13)  op2(e23, e21) = e24
% 243.84/48.21    (14)  op2(e22, e20) = e24
% 243.84/48.21    (15)   ~ (all_16_1 = e21)
% 243.84/48.21    (16)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.84/48.21            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.84/48.21            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.84/48.21    (17)  all_24_14 = e23
% 243.84/48.21    (18)  op2(e23, e23) = e21
% 243.84/48.21    (19)  all_24_2 = e22
% 243.84/48.21    (20)   ~ (e23 = e22)
% 243.84/48.21    (21)  op2(e20, unit2) = e20
% 243.84/48.21    (22)   ~ (e22 = e20)
% 243.84/48.21    (23)  op2(e21, e23) = all_16_8
% 243.84/48.21    (24)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 243.84/48.21            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 243.84/48.21            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.84/48.21    (25)  all_24_22 = e24
% 243.84/48.21    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.21            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.21    (27)  op2(e23, e24) = e22
% 243.84/48.21    (28)  all_24_21 = e23
% 243.84/48.21    (29)   ~ (e23 = e20)
% 243.84/48.21    (30)  all_24_9 = e23
% 243.84/48.21    (31)   ~ (all_16_7 = e23)
% 243.84/48.21    (32)  op2(e24, e23) = e22
% 243.84/48.21    (33)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.84/48.21              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.84/48.21            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.21    (34)   ~ (all_16_10 = e22)
% 243.84/48.21    (35)   ~ (e24 = e21)
% 243.84/48.21    (36)   ~ (e22 = e21)
% 243.84/48.21    (37)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.84/48.21            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.84/48.21            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.84/48.21    (38)   ~ (all_16_1 = e20)
% 243.84/48.21    (39)   ~ (all_16_17 = e24)
% 243.84/48.21    (40)  op2(e24, unit2) = e24
% 243.84/48.21    (41)  op2(e23, e22) = e20
% 243.84/48.21    (42)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.84/48.21              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.84/48.21            e20 & op2(e20, e21) = e20)
% 243.84/48.21    (43)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.84/48.21            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.84/48.21            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.84/48.21    (44)   ~ (all_16_1 = e23)
% 243.84/48.21    (45)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 243.84/48.21              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 243.84/48.21            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.21    (46)  all_24_13 = e24
% 243.84/48.21    (47)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.84/48.21              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.84/48.21            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.84/48.21    (48)  all_24_1 = e22
% 243.84/48.21    (49)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 243.84/48.21            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.84/48.21            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 243.84/48.21    (50)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.84/48.21    (51)  op2(e22, e21) = all_16_17
% 243.84/48.21    (52)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.84/48.21            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 243.84/48.21            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 243.84/48.21    (53)   ~ (all_16_8 = e23)
% 243.84/48.21    (54)  op2(e22, e23) = all_16_7
% 243.84/48.21    (55)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.84/48.21              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.84/48.21            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.84/48.21    (56)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.84/48.21            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.84/48.21            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.84/48.21    (57)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.84/48.21    (58)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.84/48.21            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.84/48.21            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.84/48.21    (59)   ~ (all_16_4 = e22)
% 243.84/48.21    (60)   ~ (e21 = e20)
% 243.84/48.21    (61)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 243.84/48.21            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 243.84/48.21            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 243.84/48.21    (62)  op2(e24, e21) = all_16_15
% 243.84/48.21    (63)   ~ (e24 = e22)
% 243.84/48.21    (64)  all_24_17 = e23
% 243.84/48.21    (65)  op2(e23, e24) = all_16_1
% 243.84/48.21    (66)   ~ (e24 = e23)
% 243.84/48.21    (67)  op2(e23, e21) = all_10_1
% 243.84/48.22    (68)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.84/48.22            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.84/48.22            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.84/48.22    (69)  all_20_5 = all_16_1
% 243.84/48.22    (70)  all_24_18 = e24
% 243.84/48.22    (71)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.84/48.22            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.84/48.22            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.84/48.22    (72)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.84/48.22            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.84/48.22            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.22    (73)  all_24_5 = e20
% 243.84/48.22    (74)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.84/48.22              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 243.84/48.22            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.22    (75)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 243.84/48.22            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 243.84/48.22            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.84/48.22    (76)  all_24_3 = e21
% 243.84/48.22    (77)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.84/48.22            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.84/48.22            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.84/48.22  
% 243.84/48.22  Begin of proof
% 243.84/48.22  | 
% 243.84/48.22  | BETA: splitting (43) gives:
% 243.84/48.22  | 
% 243.84/48.22  | Case 1:
% 243.84/48.22  | | 
% 243.84/48.22  | |   (78)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 243.84/48.22  | |             e22) = e22)
% 243.84/48.22  | | 
% 243.84/48.22  | | REF_CLOSE: (1), (22), (26), (34), (41), (78) are inconsistent by sub-proof
% 243.84/48.22  | |            #668.
% 243.84/48.22  | | 
% 243.84/48.22  | Case 2:
% 243.84/48.22  | | 
% 243.84/48.22  | |   (79)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 & op2(e21,
% 243.84/48.22  | |             e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.84/48.22  | | 
% 243.84/48.22  | | BETA: splitting (79) gives:
% 243.84/48.22  | | 
% 243.84/48.22  | | Case 1:
% 243.84/48.22  | | | 
% 243.84/48.22  | | |   (80)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.84/48.22  | | | 
% 243.84/48.22  | | | ALPHA: (80) implies:
% 243.84/48.22  | | |   (81)  all_24_8 = e22
% 243.84/48.22  | | | 
% 243.84/48.22  | | | BETA: splitting (61) gives:
% 243.84/48.22  | | | 
% 243.84/48.22  | | | Case 1:
% 243.84/48.22  | | | | 
% 243.84/48.22  | | | |   (82)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 243.84/48.22  | | | |           op2(e23, e22) = e21)
% 243.84/48.22  | | | | 
% 243.84/48.22  | | | | BETA: splitting (82) gives:
% 243.84/48.22  | | | | 
% 243.84/48.22  | | | | Case 1:
% 243.84/48.22  | | | | | 
% 243.84/48.22  | | | | |   (83)  all_24_4 = e21 & op2(e24, e22) = e21
% 243.84/48.22  | | | | | 
% 243.84/48.22  | | | | | ALPHA: (83) implies:
% 243.84/48.22  | | | | |   (84)  all_24_4 = e21
% 243.84/48.22  | | | | | 
% 243.84/48.22  | | | | | BETA: splitting (49) gives:
% 243.84/48.22  | | | | | 
% 243.84/48.22  | | | | | Case 1:
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | |   (85)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 243.84/48.22  | | | | | |           op2(e24, e23) = e24)
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | | REF_CLOSE: (1), (3), (8), (10), (11), (13), (16), (18), (19), (20),
% 243.84/48.22  | | | | | |            (22), (26), (27), (29), (30), (32), (35), (36), (37),
% 243.84/48.22  | | | | | |            (40), (41), (48), (50), (60), (63), (64), (66), (67),
% 243.84/48.22  | | | | | |            (71), (77), (85) are inconsistent by sub-proof #364.
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | Case 2:
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | |   (86)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 243.84/48.22  | | | | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) =
% 243.84/48.22  | | | | | |           e24)
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | | BETA: splitting (86) gives:
% 243.84/48.22  | | | | | | 
% 243.84/48.22  | | | | | | Case 1:
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | |   (87)  all_24_4 = e24 & op2(e24, e22) = e24
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | | ALPHA: (87) implies:
% 243.84/48.22  | | | | | | |   (88)  all_24_4 = e24
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | | REF_CLOSE: (35), (84), (88) are inconsistent by sub-proof #852.
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | Case 2:
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | |   (89)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 243.84/48.22  | | | | | | |           & op2(e24, e20) = e24)
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | | BETA: splitting (89) gives:
% 243.84/48.22  | | | | | | | 
% 243.84/48.22  | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | |   (90)  all_24_9 = e24 & op2(e24, e21) = e24
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | | REF_CLOSE: (7), (26), (62), (90) are inconsistent by sub-proof
% 243.84/48.22  | | | | | | | |            #862.
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | |   (91)  all_24_16 = e24 & op2(e24, e20) = e24
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | | ALPHA: (91) implies:
% 243.84/48.22  | | | | | | | |   (92)  all_24_16 = e24
% 243.84/48.22  | | | | | | | |   (93)  op2(e24, e20) = e24
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | | BETA: splitting (37) gives:
% 243.84/48.22  | | | | | | | | 
% 243.84/48.22  | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | 
% 243.84/48.22  | | | | | | | | |   (94)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 =
% 243.84/48.22  | | | | | | | | |           e20 & op2(e24, e23) = e20)
% 243.84/48.22  | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | BETA: splitting (94) gives:
% 243.84/48.22  | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | |   (95)  all_24_0 = e20 & op2(e24, e24) = e20
% 243.84/48.22  | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | ALPHA: (95) implies:
% 243.84/48.22  | | | | | | | | | |   (96)  all_24_0 = e20
% 243.84/48.22  | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | BETA: splitting (24) gives:
% 243.84/48.22  | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | |   (97)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 243.84/48.22  | | | | | | | | | | |           = e24 & op2(e23, e24) = e24)
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | REF_CLOSE: (1), (3), (8), (10), (11), (13), (16), (18), (19),
% 243.84/48.22  | | | | | | | | | | |            (20), (22), (26), (27), (29), (30), (32), (35),
% 243.84/48.22  | | | | | | | | | | |            (36), (37), (40), (41), (50), (56), (60), (63),
% 243.84/48.22  | | | | | | | | | | |            (64), (66), (67), (71), (77), (97) are
% 243.84/48.22  | | | | | | | | | | |            inconsistent by sub-proof #696.
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | |   (98)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 243.84/48.22  | | | | | | | | | | |         (all_24_12 = e24 & op2(e21, e24) = e24) |
% 243.84/48.22  | | | | | | | | | | |         (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | BETA: splitting (98) gives:
% 243.84/48.22  | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | |   (99)  all_24_6 = e24 & op2(e22, e24) = e24
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (13), (16), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | |            (22), (26), (28), (29), (32), (35), (36), (41),
% 243.84/48.22  | | | | | | | | | | | |            (46), (48), (52), (60), (63), (64), (66), (67),
% 243.84/48.22  | | | | | | | | | | | |            (71), (75), (76), (77), (99) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | |            sub-proof #695.
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | |   (100)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 243.84/48.22  | | | | | | | | | | | |          (all_24_20 = e24 & op2(e20, e24) = e24)
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | BETA: splitting (100) gives:
% 243.84/48.22  | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | |   (101)  all_24_12 = e24 & op2(e21, e24) = e24
% 243.84/48.22  | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | ALPHA: (101) implies:
% 243.84/48.22  | | | | | | | | | | | | |   (102)  all_24_12 = e24
% 243.84/48.22  | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | BETA: splitting (72) gives:
% 243.84/48.22  | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | |   (103)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 243.84/48.22  | | | | | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (13), (16), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | | | |            (22), (26), (28), (29), (32), (35), (36), (41),
% 243.84/48.22  | | | | | | | | | | | | | |            (46), (60), (63), (64), (66), (67), (71), (75),
% 243.84/48.22  | | | | | | | | | | | | | |            (77), (103) are inconsistent by sub-proof #691.
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | |   (104)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | |          (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 243.84/48.22  | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | |   (105)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (18), (19), (20), (22), (26),
% 243.84/48.22  | | | | | | | | | | | | | | |            (29), (35), (36), (41), (56), (63), (66), (67),
% 243.84/48.22  | | | | | | | | | | | | | | |            (71), (73), (77), (81), (105) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | |            sub-proof #625.
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | |   (106)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | |   (107)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | |   (108)  all_24_11 = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | |   (109)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 243.84/48.22  | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (110)  all_24_0 = e21 & op2(e24, e24) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (111)  all_24_0 = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (111) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (112)  e21 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | SIMP: (112) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (113)  e21 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (10), (11), (12), (13), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (22), (26), (29), (35), (36), (41), (56), (60),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (63), (64), (66), (67), (70), (71), (72), (73),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (77), (81), (108), (113) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            sub-proof #346.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (114)  all_24_2 = e21 & op2(e23, e24) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (115)  all_24_2 = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (18), (20), (22), (26), (29),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (35), (36), (41), (56), (63), (66), (67), (71),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (73), (77), (115) are inconsistent by sub-proof
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            #1298.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | End of split
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | |   (116)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (117)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (13), (18), (19), (20), (26), (29),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (35), (41), (63), (64), (66), (67), (71), (77),
% 243.84/48.22  | | | | | | | | | | | | | | | | | |            (117) are inconsistent by sub-proof #355.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | |   (118)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | |   (119)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (102), (119) are inconsistent by sub-proof
% 243.84/48.22  | | | | | | | | | | | | | | | | | | |            #345.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | |   (120)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | |   (121)  all_24_20 = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | |   (122)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (123)  all_24_20 = e20 & op2(e20, e24) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (124)  all_24_20 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (124) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (125)  e21 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | SIMP: (125) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (126)  e21 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (10), (11), (12), (13), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (22), (26), (29), (35), (36), (41), (56), (60),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (63), (64), (66), (67), (70), (71), (72), (73),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (77), (81), (108), (126) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            sub-proof #346.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (127)  all_24_21 = e20 & op2(e20, e23) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (128)  all_24_21 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (128) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (129)  e23 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (26),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (29), (35), (36), (41), (60), (63), (64), (66),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (67), (71), (77), (129) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            sub-proof #833.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | |   (130)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (131)  all_24_22 = e20 & op2(e20, e22) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (132)  all_24_22 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (132) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (133)  e24 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (26), (35), (48), (49), (62), (63),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            (84), (92), (96), (133) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (134)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | |   (135)  all_24_23 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |   (136)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (13), (16), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |            (22), (26), (27), (29), (31), (32), (35), (36),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |            (41), (48), (52), (54), (56), (59), (60), (63),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |            (64), (66), (67), (68), (71), (75), (76), (77),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |            (136) are inconsistent by sub-proof #775.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |   (137)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |   (138)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (11), (12), (13), (16), (18), (19),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (29), (35), (36), (39),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |            (41), (51), (56), (58), (60), (63), (64), (66),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |            (67), (70), (71), (77), (81), (108), (138) are
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #344.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |   (139)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |   (140)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (22),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |            (26), (29), (35), (36), (41), (56), (60), (63),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |            (66), (67), (71), (77), (135), (140) are
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #370.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |   (141)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |   (142)  all_24_24 = e22
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | |   (143)  op2(e20, e20) = e22
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (144)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (11), (13), (14), (18), (19), (20),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |            (21), (26), (27), (29), (35), (40), (41), (50),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (66), (67), (71), (77), (143), (144) are
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #347.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (145)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (146)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (20), (26), (27), (29), (36),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (50), (66), (67), (146) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (147)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (149)  op2(e21, e20) = e21
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (150)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (151)  all_24_12 = e20 & op2(e21, e24) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (152)  all_24_12 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (152) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (153)  e24 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (26), (35), (48), (49), (62), (63),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (92), (96), (153) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (154)  all_24_13 = e20 & op2(e21, e23) = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (155)  all_24_13 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (155) imply:
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (156)  e24 = e20
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (26), (35), (48), (49), (62), (63),
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (92), (96), (156) are inconsistent by
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (157)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_24_14 = e20 & op2(e21, e22) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (159)  all_24_14 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (159) imply:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (160)  e23 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (26),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (35), (36), (41), (60), (63), (64), (66),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (71), (77), (160) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #833.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (161)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_24_15 = e20 & op2(e21, e21) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_24_15 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (15), (16), (18), (19), (20),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (26), (29), (30), (35), (36), (38), (41),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (47), (56), (57), (60), (63), (64), (65),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (67), (69), (71), (73), (77), (108), (135),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163) are inconsistent by sub-proof #369.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_24_19 = e20 & op2(e21, e20) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (165)  op2(e21, e20) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (60), (149), (165) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #781.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (18), (19), (20), (22), (26),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (35), (36), (41), (56), (63), (66), (67),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (71), (73), (77), (142), (166) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #639.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | |   (167)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (20), (26), (27), (29), (36),
% 243.84/48.23  | | | | | | | | | | | | | | | |            (41), (50), (66), (67), (167) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | |            sub-proof #797.
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | |   (168)  all_24_20 = e24 & op2(e20, e24) = e24
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | ALPHA: (168) implies:
% 243.84/48.23  | | | | | | | | | | | | |   (169)  all_24_20 = e24
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | BETA: splitting (72) gives:
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | |   (170)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 243.84/48.23  | | | | | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (13), (16), (18), (19), (20),
% 243.84/48.23  | | | | | | | | | | | | | |            (22), (26), (28), (29), (32), (35), (36), (41),
% 243.84/48.23  | | | | | | | | | | | | | |            (46), (60), (63), (64), (66), (67), (71), (75),
% 243.84/48.23  | | | | | | | | | | | | | |            (77), (170) are inconsistent by sub-proof #691.
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | |   (171)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | |          (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | |   (172)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (18), (19), (20), (22), (26),
% 243.84/48.23  | | | | | | | | | | | | | | |            (29), (35), (36), (41), (56), (63), (66), (67),
% 243.84/48.23  | | | | | | | | | | | | | | |            (71), (73), (77), (81), (172) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | |            sub-proof #625.
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | |   (173)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | |   (174)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | |   (175)  all_24_11 = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | |   (176)  (all_24_20 = e20 & op2(e20, e24) = e20) |
% 243.84/48.23  | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (177)  all_24_20 = e20 & op2(e20, e24) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (178)  all_24_20 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (169), (178) imply:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (179)  e24 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (26), (35), (48), (49), (62), (63),
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            (84), (92), (96), (179) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (180)  all_24_21 = e20 & op2(e20, e23) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (181)  all_24_21 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (181) imply:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (182)  e23 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (26),
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            (29), (35), (36), (41), (60), (63), (64), (66),
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            (67), (71), (77), (182) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            sub-proof #833.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | |   (183)  (all_24_22 = e20 & op2(e20, e22) = e20) |
% 243.84/48.23  | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (184)  all_24_22 = e20 & op2(e20, e22) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (185)  all_24_22 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (185) imply:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (186)  e24 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (26), (35), (48), (49), (62), (63),
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            (84), (92), (96), (186) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (187)  all_24_23 = e20 & op2(e20, e21) = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | |   (188)  all_24_23 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |   (189)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (13), (16), (18), (19), (20),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |            (22), (26), (27), (29), (31), (32), (35), (36),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |            (41), (48), (52), (54), (56), (59), (60), (63),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |            (64), (66), (67), (68), (71), (75), (76), (77),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |            (189) are inconsistent by sub-proof #775.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |   (190)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |   (191)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (11), (12), (13), (16), (18), (19),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (29), (35), (36), (39),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |            (41), (51), (56), (58), (60), (63), (64), (66),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |            (67), (70), (71), (77), (81), (175), (191) are
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #344.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |   (192)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |   (193)  all_24_23 = e22 & op2(e20, e21) = e22
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (22),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |            (26), (29), (35), (36), (41), (56), (60), (63),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |            (66), (67), (71), (77), (188), (193) are
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #370.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |   (194)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | |   (195)  all_24_24 = e22
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (18), (19), (20), (23), (26), (29),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (35), (41), (53), (54), (63), (64),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |            (66), (67), (68), (71), (77), (169), (196) are
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #356.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_24_22 = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (35), (199) are inconsistent by sub-proof
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | |            #352.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_24_23 = e21 & op2(e20, e21) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_24_23 = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (202) imply:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  e21 = e20
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (10), (11), (12), (13), (18), (19), (20),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            (22), (26), (29), (35), (36), (41), (56), (60),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (66), (67), (70), (71), (72), (73),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            (77), (81), (175), (203) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #346.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (18), (19), (20), (22), (26),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            (29), (35), (36), (41), (56), (63), (66), (67),
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            (71), (73), (77), (195), (204) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #639.
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | |   (205)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (20), (26), (27), (29), (36),
% 243.84/48.23  | | | | | | | | | | | | | | | |            (41), (50), (66), (67), (205) are inconsistent by
% 243.84/48.23  | | | | | | | | | | | | | | | |            sub-proof #797.
% 243.84/48.23  | | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | |   (206)  all_24_1 = e20 & op2(e24, e23) = e20
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | REF_CLOSE: (22), (26), (32), (206) are inconsistent by
% 243.84/48.23  | | | | | | | | | |            sub-proof #911.
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | 
% 243.84/48.23  | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | 
% 243.84/48.23  | | | | | | | | |   (207)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 =
% 243.84/48.23  | | | | | | | | |            e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 243.84/48.23  | | | | | | | | |            op2(e24, e20) = e20)
% 243.84/48.23  | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | BETA: splitting (207) gives:
% 243.84/48.23  | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | |   (208)  all_24_4 = e20 & op2(e24, e22) = e20
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | REF_CLOSE: (1), (3), (26), (208) are inconsistent by
% 243.84/48.23  | | | | | | | | | |            sub-proof #909.
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | |   (209)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16
% 243.84/48.23  | | | | | | | | | |            = e20 & op2(e24, e20) = e20)
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | BETA: splitting (209) gives:
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | Case 1:
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | |   (210)  all_24_9 = e20 & op2(e24, e21) = e20
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (16), (18), (19), (20), (26),
% 243.84/48.23  | | | | | | | | | | |            (29), (30), (35), (36), (41), (60), (63), (64),
% 243.84/48.23  | | | | | | | | | | |            (66), (67), (71), (77), (210) are inconsistent by
% 243.84/48.23  | | | | | | | | | | |            sub-proof #887.
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | Case 2:
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | |   (211)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | | REF_CLOSE: (10), (26), (93), (211) are inconsistent by
% 243.84/48.23  | | | | | | | | | | |            sub-proof #343.
% 243.84/48.23  | | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | | 
% 243.84/48.23  | | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | | 
% 243.84/48.23  | | | | | | | | End of split
% 243.84/48.23  | | | | | | | | 
% 243.84/48.23  | | | | | | | End of split
% 243.84/48.23  | | | | | | | 
% 243.84/48.23  | | | | | | End of split
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | End of split
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | Case 2:
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | |   (212)  all_24_5 = e21 & op2(e23, e22) = e21
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | | REF_CLOSE: (26), (41), (60), (212) are inconsistent by sub-proof
% 243.84/48.23  | | | | |            #1318.
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | End of split
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | Case 2:
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | |   (213)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 243.84/48.23  | | | |            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) =
% 243.84/48.23  | | | |            e21)
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | | BETA: splitting (213) gives:
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | | Case 1:
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | |   (214)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | | REF_CLOSE: (10), (11), (13), (18), (19), (20), (22), (26), (29), (35),
% 243.84/48.23  | | | | |            (36), (41), (56), (63), (66), (67), (71), (73), (77), (81),
% 243.84/48.23  | | | | |            (214) are inconsistent by sub-proof #625.
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | Case 2:
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | |   (215)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 243.84/48.23  | | | | |            op2(e20, e22) = e21)
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | | BETA: splitting (215) gives:
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | | Case 1:
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | |   (216)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | | REF_CLOSE: (11), (13), (17), (18), (19), (20), (26), (29), (35),
% 243.84/48.23  | | | | | |            (41), (63), (64), (66), (67), (71), (77), (216) are
% 243.84/48.23  | | | | | |            inconsistent by sub-proof #707.
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | Case 2:
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | |   (217)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | | ALPHA: (217) implies:
% 243.84/48.23  | | | | | |   (218)  all_24_22 = e21
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | | REF_CLOSE: (25), (35), (218) are inconsistent by sub-proof #352.
% 243.84/48.23  | | | | | | 
% 243.84/48.23  | | | | | End of split
% 243.84/48.23  | | | | | 
% 243.84/48.23  | | | | End of split
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | End of split
% 243.84/48.23  | | | 
% 243.84/48.23  | | Case 2:
% 243.84/48.23  | | | 
% 243.84/48.23  | | |   (219)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 243.84/48.23  | | |            op2(e20, e22) = e22)
% 243.84/48.23  | | | 
% 243.84/48.23  | | | BETA: splitting (219) gives:
% 243.84/48.23  | | | 
% 243.84/48.23  | | | Case 1:
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | |   (220)  all_24_14 = e22 & op2(e21, e22) = e22
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | | REF_CLOSE: (11), (13), (15), (17), (18), (20), (26), (29), (38), (41),
% 243.84/48.23  | | | |            (44), (57), (64), (65), (66), (67), (69), (77), (220) are
% 243.84/48.23  | | | |            inconsistent by sub-proof #712.
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | Case 2:
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | |   (221)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | | ALPHA: (221) implies:
% 243.84/48.23  | | | |   (222)  all_24_22 = e22
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | | REF_CLOSE: (25), (63), (222) are inconsistent by sub-proof #840.
% 243.84/48.23  | | | | 
% 243.84/48.23  | | | End of split
% 243.84/48.23  | | | 
% 243.84/48.23  | | End of split
% 243.84/48.23  | | 
% 243.84/48.23  | End of split
% 243.84/48.23  | 
% 243.84/48.23  End of proof
% 243.84/48.23  
% 243.84/48.23  Sub-proof #343 shows that the following formulas are inconsistent:
% 243.84/48.23  ----------------------------------------------------------------
% 243.84/48.23    (1)  all_24_16 = e20 & op2(e24, e20) = e20
% 243.84/48.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.23           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.23    (3)  op2(e24, e20) = e24
% 243.84/48.23    (4)   ~ (e24 = e20)
% 243.84/48.23  
% 243.84/48.23  Begin of proof
% 243.84/48.23  | 
% 243.84/48.23  | ALPHA: (1) implies:
% 243.84/48.23  |   (5)  op2(e24, e20) = e20
% 243.84/48.23  | 
% 243.84/48.23  | GROUND_INST: instantiating (2) with e20, e24, e20, e24, simplifying with (3),
% 243.84/48.23  |              (5) gives:
% 243.84/48.23  |   (6)  e24 = e20
% 243.84/48.23  | 
% 243.84/48.23  | REDUCE: (4), (6) imply:
% 243.84/48.23  |   (7)  $false
% 243.84/48.23  | 
% 243.84/48.23  | CLOSE: (7) is inconsistent.
% 243.84/48.23  | 
% 243.84/48.23  End of proof
% 243.84/48.23  
% 243.84/48.23  Sub-proof #344 shows that the following formulas are inconsistent:
% 243.84/48.23  ----------------------------------------------------------------
% 243.84/48.23    (1)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 243.84/48.23           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 243.84/48.23           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 243.84/48.23    (2)   ~ (e24 = e20)
% 243.84/48.23    (3)   ~ (e23 = e21)
% 243.84/48.23    (4)  all_24_6 = e23
% 243.84/48.23    (5)  op2(e23, e21) = e24
% 243.84/48.23    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.84/48.23           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.84/48.23           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.84/48.23    (7)  op2(e23, e23) = e21
% 243.84/48.23    (8)  all_24_2 = e22
% 243.84/48.23    (9)   ~ (e23 = e22)
% 243.84/48.23    (10)   ~ (e22 = e20)
% 243.84/48.23    (11)  all_24_22 = e24
% 243.84/48.23    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.23            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.23    (13)   ~ (e23 = e20)
% 243.84/48.23    (14)   ~ (e24 = e21)
% 243.84/48.23    (15)   ~ (e22 = e21)
% 243.84/48.23    (16)   ~ (all_16_17 = e24)
% 243.84/48.23    (17)  all_24_11 = e21
% 243.84/48.23    (18)  all_24_8 = e22
% 243.84/48.23    (19)  op2(e23, e22) = e20
% 243.84/48.23    (20)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.84/48.23    (21)  op2(e22, e21) = all_16_17
% 243.84/48.24    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.84/48.24            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.84/48.24            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.84/48.24    (23)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 243.84/48.24            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 243.84/48.24            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 243.84/48.24    (24)   ~ (e21 = e20)
% 243.84/48.24    (25)   ~ (e24 = e22)
% 243.84/48.24    (26)  all_24_17 = e23
% 243.84/48.24    (27)   ~ (e24 = e23)
% 243.84/48.24    (28)  op2(e23, e21) = all_10_1
% 243.84/48.24    (29)  all_24_18 = e24
% 243.84/48.24    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.84/48.24            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.84/48.24            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.84/48.24    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.84/48.24            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.84/48.24            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.84/48.24  
% 243.84/48.24  Begin of proof
% 243.84/48.24  | 
% 243.84/48.24  | ALPHA: (20) implies:
% 243.84/48.24  |   (32)  all_24_22 = e22
% 243.84/48.24  | 
% 243.84/48.24  | COMBINE_EQS: (11), (32) imply:
% 243.84/48.24  |   (33)  e24 = e22
% 243.84/48.24  | 
% 243.84/48.24  | SIMP: (33) implies:
% 243.84/48.24  |   (34)  e24 = e22
% 243.84/48.24  | 
% 243.84/48.24  | COMBINE_EQS: (29), (34) imply:
% 243.84/48.24  |   (35)  all_24_18 = e22
% 243.84/48.24  | 
% 243.84/48.24  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 243.84/48.24  |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 243.84/48.24  |            (26), (27), (28), (30), (31), (35) are inconsistent by sub-proof
% 243.84/48.24  |            #375.
% 243.84/48.24  | 
% 243.84/48.24  End of proof
% 243.84/48.24  
% 243.84/48.24  Sub-proof #345 shows that the following formulas are inconsistent:
% 243.84/48.24  ----------------------------------------------------------------
% 243.84/48.24    (1)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.84/48.24    (2)  all_24_12 = e24
% 243.84/48.24    (3)   ~ (e24 = e21)
% 243.84/48.24  
% 243.84/48.24  Begin of proof
% 243.84/48.24  | 
% 243.84/48.24  | ALPHA: (1) implies:
% 243.84/48.24  |   (4)  all_24_12 = e21
% 243.84/48.24  | 
% 243.84/48.24  | COMBINE_EQS: (2), (4) imply:
% 243.84/48.24  |   (5)  e24 = e21
% 243.84/48.24  | 
% 243.84/48.24  | SIMP: (5) implies:
% 243.84/48.24  |   (6)  e24 = e21
% 243.84/48.24  | 
% 243.84/48.24  | REDUCE: (3), (6) imply:
% 243.84/48.24  |   (7)  $false
% 243.84/48.24  | 
% 243.84/48.24  | CLOSE: (7) is inconsistent.
% 243.84/48.24  | 
% 243.84/48.24  End of proof
% 243.84/48.24  
% 243.84/48.24  Sub-proof #346 shows that the following formulas are inconsistent:
% 243.84/48.24  ----------------------------------------------------------------
% 243.84/48.24    (1)  all_24_7 = e20
% 243.84/48.24    (2)   ~ (e24 = e20)
% 243.84/48.24    (3)   ~ (e23 = e21)
% 243.84/48.24    (4)  all_24_6 = e23
% 243.84/48.24    (5)  op2(e23, e21) = e24
% 243.84/48.24    (6)  op2(e23, e23) = e21
% 243.84/48.24    (7)  all_24_2 = e22
% 243.84/48.24    (8)   ~ (e23 = e22)
% 243.84/48.24    (9)   ~ (e22 = e20)
% 243.84/48.24    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.24            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.24    (11)   ~ (e23 = e20)
% 243.84/48.24    (12)   ~ (e24 = e21)
% 243.84/48.24    (13)   ~ (e22 = e21)
% 243.84/48.24    (14)  all_24_11 = e21
% 243.84/48.24    (15)  all_24_8 = e22
% 243.84/48.24    (16)  op2(e23, e22) = e20
% 243.84/48.24    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.84/48.24            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.84/48.24            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.84/48.24    (18)   ~ (e21 = e20)
% 243.84/48.24    (19)  e21 = e20
% 243.84/48.24    (20)   ~ (e24 = e22)
% 243.84/48.24    (21)  all_24_17 = e23
% 243.84/48.24    (22)   ~ (e24 = e23)
% 243.84/48.24    (23)  op2(e23, e21) = all_10_1
% 243.84/48.24    (24)  all_24_18 = e24
% 243.84/48.24    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.84/48.24            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.84/48.24            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.84/48.24    (26)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 243.84/48.24            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 243.84/48.24            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.24    (27)  all_24_5 = e20
% 243.84/48.24    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.84/48.24            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.84/48.24            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.84/48.24  
% 243.84/48.24  Begin of proof
% 243.84/48.24  | 
% 243.84/48.24  | COMBINE_EQS: (14), (19) imply:
% 243.84/48.24  |   (29)  all_24_11 = e20
% 243.84/48.24  | 
% 243.84/48.24  | BETA: splitting (26) gives:
% 243.84/48.24  | 
% 243.84/48.24  | Case 1:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (30)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 243.84/48.24  | |             e23) = e21)
% 243.84/48.24  | | 
% 243.84/48.24  | | BETA: splitting (30) gives:
% 243.84/48.24  | | 
% 243.84/48.24  | | Case 1:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (31)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.84/48.24  | | | 
% 243.84/48.24  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (16), (20),
% 243.84/48.24  | | |            (21), (22), (23), (25), (28), (31) are inconsistent by
% 243.84/48.24  | | |            sub-proof #704.
% 243.84/48.24  | | | 
% 243.84/48.24  | | Case 2:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (32)  all_24_7 = e21 & op2(e22, e23) = e21
% 243.84/48.24  | | | 
% 243.84/48.24  | | | ALPHA: (32) implies:
% 243.84/48.24  | | |   (33)  all_24_7 = e21
% 243.84/48.24  | | | 
% 243.84/48.24  | | | REF_CLOSE: (1), (18), (33) are inconsistent by sub-proof #746.
% 243.84/48.24  | | | 
% 243.84/48.24  | | End of split
% 243.84/48.24  | | 
% 243.84/48.24  | Case 2:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (34)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 243.84/48.24  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 243.84/48.24  | | 
% 243.84/48.24  | | BETA: splitting (34) gives:
% 243.84/48.24  | | 
% 243.84/48.24  | | Case 1:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (35)  all_24_8 = e21 & op2(e22, e22) = e21
% 243.84/48.24  | | | 
% 243.84/48.24  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 243.84/48.24  | | |            (15), (16), (17), (20), (22), (23), (25), (27), (28), (35) are
% 243.84/48.24  | | |            inconsistent by sub-proof #625.
% 243.84/48.24  | | | 
% 243.84/48.24  | | Case 2:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (36)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 243.84/48.24  | | |           op2(e22, e20) = e21)
% 243.84/48.24  | | | 
% 243.84/48.24  | | | BETA: splitting (36) gives:
% 243.84/48.24  | | | 
% 243.84/48.24  | | | Case 1:
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | |   (37)  all_24_11 = e21 & op2(e22, e21) = e21
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REF_CLOSE: (14), (18), (29) are inconsistent by sub-proof #788.
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | Case 2:
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | |   (38)  all_24_18 = e21 & op2(e22, e20) = e21
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | ALPHA: (38) implies:
% 243.84/48.24  | | | |   (39)  all_24_18 = e21
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | COMBINE_EQS: (24), (39) imply:
% 243.84/48.24  | | | |   (40)  e24 = e21
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (12), (40) imply:
% 243.84/48.24  | | | |   (41)  $false
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | CLOSE: (41) is inconsistent.
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | End of split
% 243.84/48.24  | | | 
% 243.84/48.24  | | End of split
% 243.84/48.24  | | 
% 243.84/48.24  | End of split
% 243.84/48.24  | 
% 243.84/48.24  End of proof
% 243.84/48.24  
% 243.84/48.24  Sub-proof #347 shows that the following formulas are inconsistent:
% 243.84/48.24  ----------------------------------------------------------------
% 243.84/48.24    (1)  op2(e22, unit2) = e22
% 243.84/48.24    (2)  op2(e23, unit2) = e23
% 243.84/48.24    (3)   ~ (e23 = e21)
% 243.84/48.24    (4)  op2(e23, e21) = e24
% 243.84/48.24    (5)  op2(e22, e20) = e24
% 243.84/48.24    (6)  op2(e23, e23) = e21
% 243.84/48.24    (7)  all_24_2 = e22
% 243.84/48.24    (8)   ~ (e23 = e22)
% 243.84/48.24    (9)  op2(e20, e20) = e22
% 243.84/48.24    (10)  op2(e20, unit2) = e20
% 243.84/48.24    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.24            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.24    (12)  op2(e23, e24) = e22
% 243.84/48.24    (13)   ~ (e23 = e20)
% 243.84/48.24    (14)   ~ (e24 = e21)
% 243.84/48.24    (15)  op2(e24, unit2) = e24
% 243.84/48.24    (16)  op2(e23, e22) = e20
% 243.84/48.24    (17)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 243.84/48.24              e20) = e21)
% 243.84/48.24    (18)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.84/48.24    (19)   ~ (e24 = e22)
% 243.84/48.24    (20)   ~ (e24 = e23)
% 243.84/48.24    (21)  op2(e23, e21) = all_10_1
% 243.84/48.24    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.84/48.24            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.84/48.24            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.84/48.24    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.84/48.24            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.84/48.24            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.84/48.24  
% 243.84/48.24  Begin of proof
% 243.84/48.24  | 
% 243.84/48.24  | BETA: splitting (17) gives:
% 243.84/48.24  | 
% 243.84/48.24  | Case 1:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (24)  all_24_16 = e21 & op2(e24, e20) = e21
% 243.84/48.24  | | 
% 243.84/48.24  | | ALPHA: (24) implies:
% 243.84/48.24  | |   (25)  op2(e24, e20) = e21
% 243.84/48.24  | | 
% 243.84/48.24  | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (10), (11), (12), (13), (15), (16),
% 243.84/48.24  | |            (18), (20), (21), (25) are inconsistent by sub-proof #348.
% 243.84/48.24  | | 
% 243.84/48.24  | Case 2:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (26)  all_24_17 = e21 & op2(e23, e20) = e21
% 243.84/48.24  | | 
% 243.84/48.24  | | ALPHA: (26) implies:
% 243.84/48.24  | |   (27)  all_24_17 = e21
% 243.84/48.24  | | 
% 243.84/48.24  | | REF_CLOSE: (3), (4), (6), (7), (8), (11), (13), (14), (16), (19), (20),
% 243.84/48.24  | |            (21), (22), (23), (27) are inconsistent by sub-proof #874.
% 243.84/48.24  | | 
% 243.84/48.24  | End of split
% 243.84/48.24  | 
% 243.84/48.24  End of proof
% 243.84/48.24  
% 243.84/48.24  Sub-proof #348 shows that the following formulas are inconsistent:
% 243.84/48.24  ----------------------------------------------------------------
% 243.84/48.24    (1)  op2(e22, unit2) = e22
% 243.84/48.24    (2)  op2(e23, unit2) = e23
% 243.84/48.24    (3)  op2(e23, e21) = e24
% 243.84/48.24    (4)  op2(e22, e20) = e24
% 243.84/48.24    (5)   ~ (e23 = e22)
% 243.84/48.24    (6)  op2(e20, e20) = e22
% 243.84/48.24    (7)  op2(e20, unit2) = e20
% 243.84/48.24    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.84/48.24           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.84/48.24    (9)  op2(e23, e24) = e22
% 243.84/48.24    (10)   ~ (e23 = e20)
% 243.84/48.24    (11)  op2(e24, unit2) = e24
% 243.84/48.24    (12)  op2(e23, e22) = e20
% 243.84/48.24    (13)  op2(e24, e20) = e21
% 243.84/48.24    (14)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.84/48.24    (15)   ~ (e24 = e23)
% 243.84/48.24    (16)  op2(e23, e21) = all_10_1
% 243.84/48.24  
% 243.84/48.24  Begin of proof
% 243.84/48.24  | 
% 243.84/48.24  | BETA: splitting (14) gives:
% 243.84/48.24  | 
% 243.84/48.24  | Case 1:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (17)  unit2 = e24
% 243.84/48.24  | | 
% 243.84/48.24  | | REDUCE: (2), (17) imply:
% 243.84/48.24  | |   (18)  op2(e23, e24) = e23
% 243.84/48.24  | | 
% 243.84/48.24  | | REF_CLOSE: (5), (8), (9), (18) are inconsistent by sub-proof #965.
% 243.84/48.24  | | 
% 243.84/48.24  | Case 2:
% 243.84/48.24  | | 
% 243.84/48.24  | |   (19)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.84/48.24  | | 
% 243.84/48.24  | | BETA: splitting (19) gives:
% 243.84/48.24  | | 
% 243.84/48.24  | | Case 1:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (20)  unit2 = e22
% 243.84/48.24  | | | 
% 243.84/48.24  | | | REDUCE: (2), (20) imply:
% 243.84/48.24  | | |   (21)  op2(e23, e22) = e23
% 243.84/48.24  | | | 
% 243.84/48.24  | | | REF_CLOSE: (8), (10), (12), (21) are inconsistent by sub-proof #1326.
% 243.84/48.24  | | | 
% 243.84/48.24  | | Case 2:
% 243.84/48.24  | | | 
% 243.84/48.24  | | |   (22)  unit2 = e21 | unit2 = e20
% 243.84/48.24  | | | 
% 243.84/48.24  | | | BETA: splitting (22) gives:
% 243.84/48.24  | | | 
% 243.84/48.24  | | | Case 1:
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | |   (23)  unit2 = e21
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (2), (23) imply:
% 243.84/48.24  | | | |   (24)  op2(e23, e21) = e23
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REF_CLOSE: (3), (8), (15), (16), (24) are inconsistent by sub-proof
% 243.84/48.24  | | | |            #957.
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | Case 2:
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | |   (25)  unit2 = e20
% 243.84/48.24  | | | |   (26)   ~ (unit2 = e21)
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (25), (26) imply:
% 243.84/48.24  | | | |   (27)   ~ (e21 = e20)
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | SIMP: (27) implies:
% 243.84/48.24  | | | |   (28)   ~ (e21 = e20)
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (11), (25) imply:
% 243.84/48.24  | | | |   (29)  op2(e24, e20) = e24
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (1), (25) imply:
% 243.84/48.24  | | | |   (30)  op2(e22, e20) = e22
% 243.84/48.24  | | | | 
% 243.84/48.24  | | | | REDUCE: (7), (25) imply:
% 243.95/48.24  | | | |   (31)  op2(e20, e20) = e20
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | GROUND_INST: instantiating (8) with e22, e20, e20, e20, simplifying with
% 243.95/48.24  | | | |              (6), (31) gives:
% 243.95/48.24  | | | |   (32)  e22 = e20
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | GROUND_INST: instantiating (8) with e24, e22, e20, e22, simplifying with
% 243.95/48.24  | | | |              (4), (30) gives:
% 243.95/48.24  | | | |   (33)  e24 = e22
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | GROUND_INST: instantiating (8) with e21, e24, e20, e24, simplifying with
% 243.95/48.24  | | | |              (13), (29) gives:
% 243.95/48.24  | | | |   (34)  e24 = e21
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | COMBINE_EQS: (33), (34) imply:
% 243.95/48.24  | | | |   (35)  e22 = e21
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | COMBINE_EQS: (32), (35) imply:
% 243.95/48.24  | | | |   (36)  e21 = e20
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | REDUCE: (28), (36) imply:
% 243.95/48.24  | | | |   (37)  $false
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | | CLOSE: (37) is inconsistent.
% 243.95/48.24  | | | | 
% 243.95/48.24  | | | End of split
% 243.95/48.24  | | | 
% 243.95/48.24  | | End of split
% 243.95/48.24  | | 
% 243.95/48.24  | End of split
% 243.95/48.24  | 
% 243.95/48.24  End of proof
% 243.95/48.24  
% 243.95/48.24  Sub-proof #349 shows that the following formulas are inconsistent:
% 243.95/48.24  ----------------------------------------------------------------
% 243.95/48.24    (1)  all_24_20 = e24
% 243.95/48.24    (2)   ~ (e24 = e20)
% 243.95/48.24    (3)   ~ (e23 = e21)
% 243.95/48.24    (4)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.95/48.24             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.95/48.24           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.95/48.24    (5)  op2(e23, e23) = e21
% 243.95/48.24    (6)   ~ (e23 = e22)
% 243.95/48.24    (7)  op2(e21, e23) = all_16_8
% 243.95/48.24    (8)  all_24_24 = e22
% 243.95/48.24    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.24           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.24    (10)   ~ (all_16_7 = e23)
% 243.95/48.24    (11)  op2(e24, e23) = e22
% 243.95/48.24    (12)   ~ (e24 = e21)
% 243.95/48.24    (13)  e24 = e20
% 243.95/48.24    (14)   ~ (all_16_8 = e23)
% 243.95/48.24    (15)  op2(e22, e23) = all_16_7
% 243.95/48.24    (16)   ~ (all_16_19 = e24)
% 243.95/48.24    (17)   ~ (e24 = e22)
% 243.95/48.24    (18)   ~ (e24 = e23)
% 243.95/48.24    (19)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.24            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.95/48.24            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.95/48.24    (20)  op2(e20, e21) = all_16_19
% 243.95/48.24    (21)  all_24_22 = e21
% 243.95/48.24  
% 243.95/48.24  Begin of proof
% 243.95/48.24  | 
% 243.95/48.24  | SIMP: (13) implies:
% 243.95/48.24  |   (22)  e24 = e20
% 243.95/48.24  | 
% 243.95/48.24  | COMBINE_EQS: (1), (22) imply:
% 243.95/48.24  |   (23)  all_24_20 = e20
% 243.95/48.24  | 
% 243.95/48.24  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 243.95/48.25  |            (15), (16), (17), (18), (19), (20), (21), (23) are inconsistent by
% 243.95/48.25  |            sub-proof #350.
% 243.95/48.25  | 
% 243.95/48.25  End of proof
% 243.95/48.25  
% 243.95/48.25  Sub-proof #350 shows that the following formulas are inconsistent:
% 243.95/48.25  ----------------------------------------------------------------
% 243.95/48.25    (1)   ~ (e24 = e20)
% 243.95/48.25    (2)   ~ (e23 = e21)
% 243.95/48.25    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.95/48.25             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.95/48.25           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.95/48.25    (4)  op2(e23, e23) = e21
% 243.95/48.25    (5)   ~ (e23 = e22)
% 243.95/48.25    (6)  op2(e21, e23) = all_16_8
% 243.95/48.25    (7)  all_24_24 = e22
% 243.95/48.25    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.25    (9)   ~ (all_16_7 = e23)
% 243.95/48.25    (10)  op2(e24, e23) = e22
% 243.95/48.25    (11)   ~ (e24 = e21)
% 243.95/48.25    (12)   ~ (all_16_8 = e23)
% 243.95/48.25    (13)  op2(e22, e23) = all_16_7
% 243.95/48.25    (14)   ~ (all_16_19 = e24)
% 243.95/48.25    (15)   ~ (e24 = e22)
% 243.95/48.25    (16)   ~ (e24 = e23)
% 243.95/48.25    (17)  all_24_20 = e20
% 243.95/48.25    (18)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.25            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.95/48.25            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.95/48.25    (19)  op2(e20, e21) = all_16_19
% 243.95/48.25    (20)  all_24_22 = e21
% 243.95/48.25  
% 243.95/48.25  Begin of proof
% 243.95/48.25  | 
% 243.95/48.25  | BETA: splitting (3) gives:
% 243.95/48.25  | 
% 243.95/48.25  | Case 1:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (21)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 243.95/48.25  | |           op2(e20, e23) = e24)
% 243.95/48.25  | | 
% 243.95/48.25  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (12), (13), (16), (17),
% 243.95/48.25  | |            (18), (21) are inconsistent by sub-proof #571.
% 243.95/48.25  | | 
% 243.95/48.25  | Case 2:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (22)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 243.95/48.25  | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.95/48.25  | | 
% 243.95/48.25  | | BETA: splitting (22) gives:
% 243.95/48.25  | | 
% 243.95/48.25  | | Case 1:
% 243.95/48.25  | | | 
% 243.95/48.25  | | |   (23)  all_24_22 = e24 & op2(e20, e22) = e24
% 243.95/48.25  | | | 
% 243.95/48.25  | | | ALPHA: (23) implies:
% 243.95/48.25  | | |   (24)  all_24_22 = e24
% 243.95/48.25  | | | 
% 243.95/48.25  | | | REF_CLOSE: (11), (20), (24) are inconsistent by sub-proof #352.
% 243.95/48.25  | | | 
% 243.95/48.25  | | Case 2:
% 243.95/48.25  | | | 
% 243.95/48.25  | | |   (25)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 243.95/48.25  | | |           op2(e20, e20) = e24)
% 243.95/48.25  | | | 
% 243.95/48.25  | | | REF_CLOSE: (7), (8), (14), (15), (19), (25) are inconsistent by sub-proof
% 243.95/48.25  | | |            #351.
% 243.95/48.25  | | | 
% 243.95/48.25  | | End of split
% 243.95/48.25  | | 
% 243.95/48.25  | End of split
% 243.95/48.25  | 
% 243.95/48.25  End of proof
% 243.95/48.25  
% 243.95/48.25  Sub-proof #351 shows that the following formulas are inconsistent:
% 243.95/48.25  ----------------------------------------------------------------
% 243.95/48.25    (1)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 243.95/48.25             e20) = e24)
% 243.95/48.25    (2)  all_24_24 = e22
% 243.95/48.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.25    (4)   ~ (all_16_19 = e24)
% 243.95/48.25    (5)   ~ (e24 = e22)
% 243.95/48.25    (6)  op2(e20, e21) = all_16_19
% 243.95/48.25  
% 243.95/48.25  Begin of proof
% 243.95/48.25  | 
% 243.95/48.25  | BETA: splitting (1) gives:
% 243.95/48.25  | 
% 243.95/48.25  | Case 1:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (7)  all_24_23 = e24 & op2(e20, e21) = e24
% 243.95/48.25  | | 
% 243.95/48.25  | | ALPHA: (7) implies:
% 243.95/48.25  | |   (8)  op2(e20, e21) = e24
% 243.95/48.25  | | 
% 243.95/48.25  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #769.
% 243.95/48.25  | | 
% 243.95/48.25  | Case 2:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (9)  all_24_24 = e24 & op2(e20, e20) = e24
% 243.95/48.25  | | 
% 243.95/48.25  | | ALPHA: (9) implies:
% 243.95/48.25  | |   (10)  all_24_24 = e24
% 243.95/48.25  | | 
% 243.95/48.25  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #633.
% 243.95/48.25  | | 
% 243.95/48.25  | End of split
% 243.95/48.25  | 
% 243.95/48.25  End of proof
% 243.95/48.25  
% 243.95/48.25  Sub-proof #352 shows that the following formulas are inconsistent:
% 243.95/48.25  ----------------------------------------------------------------
% 243.95/48.25    (1)  all_24_22 = e24
% 243.95/48.25    (2)  all_24_22 = e21
% 243.95/48.25    (3)   ~ (e24 = e21)
% 243.95/48.25  
% 243.95/48.25  Begin of proof
% 243.95/48.25  | 
% 243.95/48.25  | COMBINE_EQS: (1), (2) imply:
% 243.95/48.25  |   (4)  e24 = e21
% 243.95/48.25  | 
% 243.95/48.25  | SIMP: (4) implies:
% 243.95/48.25  |   (5)  e24 = e21
% 243.95/48.25  | 
% 243.95/48.25  | REDUCE: (3), (5) imply:
% 243.95/48.25  |   (6)  $false
% 243.95/48.25  | 
% 243.95/48.25  | CLOSE: (6) is inconsistent.
% 243.95/48.25  | 
% 243.95/48.25  End of proof
% 243.95/48.25  
% 243.95/48.25  Sub-proof #353 shows that the following formulas are inconsistent:
% 243.95/48.25  ----------------------------------------------------------------
% 243.95/48.25    (1)  op2(e24, e22) = all_16_10
% 243.95/48.25    (2)  all_24_20 = e24
% 243.95/48.25    (3)   ~ (all_16_10 = e20)
% 243.95/48.25    (4)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.95/48.25             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.95/48.25           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.95/48.25    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.95/48.25           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.95/48.25           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.95/48.25    (6)  op2(e23, unit2) = e23
% 243.95/48.25    (7)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.95/48.25             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.95/48.25           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.95/48.25    (8)  all_24_23 = e20
% 243.95/48.25    (9)   ~ (e24 = e20)
% 243.95/48.25    (10)   ~ (e23 = e21)
% 243.95/48.25    (11)  all_24_6 = e23
% 243.95/48.25    (12)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.95/48.25              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.95/48.25            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.95/48.25    (13)  op2(e23, e21) = e24
% 243.95/48.25    (14)   ~ (all_16_1 = e21)
% 243.95/48.25    (15)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.95/48.25            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.95/48.25            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.95/48.25    (16)  all_24_14 = e23
% 243.95/48.25    (17)  op2(e23, e23) = e21
% 243.95/48.25    (18)  all_24_2 = e22
% 243.95/48.25    (19)   ~ (e23 = e22)
% 243.95/48.25    (20)   ~ (e22 = e20)
% 243.95/48.25    (21)  op2(e21, e23) = all_16_8
% 243.95/48.25    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.25            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.25    (23)  op2(e23, e24) = e22
% 243.95/48.25    (24)  all_24_21 = e23
% 243.95/48.25    (25)   ~ (e23 = e20)
% 243.95/48.25    (26)  all_24_9 = e23
% 243.95/48.25    (27)   ~ (all_16_7 = e23)
% 243.95/48.25    (28)  op2(e24, e23) = e22
% 243.95/48.25    (29)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.95/48.25              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.95/48.25            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.95/48.25    (30)   ~ (all_16_10 = e22)
% 243.95/48.25    (31)   ~ (e24 = e21)
% 243.95/48.25    (32)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.95/48.25              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.95/48.25            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.95/48.25    (33)   ~ (e22 = e21)
% 243.95/48.25    (34)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.95/48.25            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.95/48.25            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.95/48.25    (35)   ~ (all_16_1 = e20)
% 243.95/48.25    (36)  op2(e24, unit2) = e24
% 243.95/48.25    (37)  op2(e23, e22) = e20
% 243.95/48.25    (38)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.95/48.25              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.95/48.25            e20 & op2(e20, e21) = e20)
% 243.95/48.25    (39)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 243.95/48.25            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 243.95/48.25            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.95/48.25    (40)   ~ (all_16_1 = e23)
% 243.95/48.25    (41)   ~ (all_16_20 = e22)
% 243.95/48.25    (42)  all_24_13 = e24
% 243.95/48.25    (43)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.95/48.25              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.95/48.25            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.95/48.25    (44)  op2(e24, e20) = all_16_20
% 243.95/48.25    (45)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.95/48.25    (46)   ~ (all_16_8 = e23)
% 243.95/48.25    (47)  op2(e22, e23) = all_16_7
% 243.95/48.25    (48)   ~ (all_16_19 = e24)
% 243.95/48.25    (49)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.95/48.25              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.95/48.25            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.95/48.25    (50)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.95/48.25            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.95/48.25            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.95/48.25    (51)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.95/48.25    (52)   ~ (e21 = e20)
% 243.95/48.25    (53)   ~ (e24 = e22)
% 243.95/48.25    (54)  all_24_17 = e23
% 243.95/48.25    (55)  op2(e23, e24) = all_16_1
% 243.95/48.25    (56)   ~ (e24 = e23)
% 243.95/48.25    (57)  op2(e23, e21) = all_10_1
% 243.95/48.25    (58)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.25            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.95/48.25            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.95/48.25    (59)  op2(e20, e21) = all_16_19
% 243.95/48.25    (60)  all_24_8 = e21
% 243.95/48.25    (61)  all_20_5 = all_16_1
% 243.95/48.25    (62)  all_24_18 = e24
% 243.95/48.25    (63)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.95/48.25            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.95/48.25            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.95/48.25    (64)  all_24_5 = e20
% 243.95/48.25    (65)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.25            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.95/48.25            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.95/48.25  
% 243.95/48.25  Begin of proof
% 243.95/48.25  | 
% 243.95/48.25  | BETA: splitting (39) gives:
% 243.95/48.25  | 
% 243.95/48.25  | Case 1:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (66)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 243.95/48.25  | |             e22) = e22)
% 243.95/48.25  | | 
% 243.95/48.25  | | REF_CLOSE: (1), (20), (22), (30), (37), (66) are inconsistent by sub-proof
% 243.95/48.25  | |            #668.
% 243.95/48.25  | | 
% 243.95/48.25  | Case 2:
% 243.95/48.25  | | 
% 243.95/48.25  | |   (67)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 & op2(e21,
% 243.95/48.25  | |             e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 243.95/48.25  | | 
% 243.95/48.25  | | BETA: splitting (67) gives:
% 243.95/48.25  | | 
% 243.95/48.25  | | Case 1:
% 243.95/48.25  | | | 
% 243.95/48.25  | | |   (68)  all_24_8 = e22 & op2(e22, e22) = e22
% 243.95/48.25  | | | 
% 243.95/48.25  | | | ALPHA: (68) implies:
% 243.95/48.25  | | |   (69)  all_24_8 = e22
% 243.95/48.25  | | | 
% 243.95/48.25  | | | COMBINE_EQS: (60), (69) imply:
% 243.95/48.25  | | |   (70)  e22 = e21
% 243.95/48.25  | | | 
% 243.95/48.25  | | | COMBINE_EQS: (18), (70) imply:
% 243.95/48.25  | | |   (71)  all_24_2 = e21
% 243.95/48.25  | | | 
% 243.95/48.25  | | | REF_CLOSE: (9), (10), (13), (17), (19), (20), (22), (25), (31), (33),
% 243.95/48.25  | | |            (37), (50), (53), (56), (57), (63), (64), (65), (71) are
% 243.95/48.25  | | |            inconsistent by sub-proof #1298.
% 243.95/48.25  | | | 
% 243.95/48.25  | | Case 2:
% 243.95/48.25  | | | 
% 243.95/48.25  | | |   (72)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 243.95/48.25  | | |           op2(e20, e22) = e22)
% 243.95/48.25  | | | 
% 243.95/48.25  | | | BETA: splitting (72) gives:
% 243.95/48.25  | | | 
% 243.95/48.25  | | | Case 1:
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | |   (73)  all_24_14 = e22 & op2(e21, e22) = e22
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | | REF_CLOSE: (10), (13), (14), (16), (17), (19), (22), (25), (35), (37),
% 243.95/48.25  | | | |            (40), (51), (54), (55), (56), (57), (61), (65), (73) are
% 243.95/48.25  | | | |            inconsistent by sub-proof #712.
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | Case 2:
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | |   (74)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 243.95/48.25  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 243.95/48.25  | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (31), (32),
% 243.95/48.25  | | | |            (33), (34), (35), (36), (37), (38), (40), (41), (42), (43),
% 243.95/48.25  | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 243.95/48.25  | | | |            (54), (55), (56), (57), (58), (59), (61), (62), (63), (64),
% 243.95/48.25  | | | |            (65), (74) are inconsistent by sub-proof #354.
% 243.95/48.25  | | | | 
% 243.95/48.25  | | | End of split
% 243.95/48.25  | | | 
% 243.95/48.25  | | End of split
% 243.95/48.25  | | 
% 243.95/48.25  | End of split
% 243.95/48.25  | 
% 243.95/48.25  End of proof
% 243.95/48.25  
% 243.95/48.25  Sub-proof #354 shows that the following formulas are inconsistent:
% 243.95/48.25  ----------------------------------------------------------------
% 243.95/48.25    (1)  op2(e24, e22) = all_16_10
% 243.95/48.25    (2)  all_24_20 = e24
% 243.95/48.25    (3)   ~ (all_16_10 = e20)
% 243.95/48.26    (4)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 243.95/48.26             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 243.95/48.26           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 243.95/48.26    (5)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 243.95/48.26           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 243.95/48.26           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.95/48.26    (6)  op2(e23, unit2) = e23
% 243.95/48.26    (7)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 243.95/48.26             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 243.95/48.26           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.95/48.26    (8)  all_24_23 = e20
% 243.95/48.26    (9)   ~ (e24 = e20)
% 243.95/48.26    (10)   ~ (e23 = e21)
% 243.95/48.26    (11)  all_24_6 = e23
% 243.95/48.26    (12)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 243.95/48.26              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 243.95/48.26            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 243.95/48.26    (13)  op2(e23, e21) = e24
% 243.95/48.26    (14)   ~ (all_16_1 = e21)
% 243.95/48.26    (15)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 243.95/48.26            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 243.95/48.26            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 243.95/48.26    (16)  all_24_14 = e23
% 243.95/48.26    (17)  op2(e23, e23) = e21
% 243.95/48.26    (18)  all_24_2 = e22
% 243.95/48.26    (19)   ~ (e23 = e22)
% 243.95/48.26    (20)   ~ (e22 = e20)
% 243.95/48.26    (21)  op2(e21, e23) = all_16_8
% 243.95/48.26    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.26            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.26    (23)  op2(e23, e24) = e22
% 243.95/48.26    (24)  all_24_21 = e23
% 243.95/48.26    (25)   ~ (e23 = e20)
% 243.95/48.26    (26)  all_24_9 = e23
% 243.95/48.26    (27)   ~ (all_16_7 = e23)
% 243.95/48.26    (28)  op2(e24, e23) = e22
% 243.95/48.26    (29)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 243.95/48.26              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 243.95/48.26            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.95/48.26    (30)   ~ (e24 = e21)
% 243.95/48.26    (31)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 243.95/48.26              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 243.95/48.26            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 243.95/48.26    (32)   ~ (e22 = e21)
% 243.95/48.26    (33)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 243.95/48.26            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 243.95/48.26            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 243.95/48.26    (34)   ~ (all_16_1 = e20)
% 243.95/48.26    (35)  op2(e24, unit2) = e24
% 243.95/48.26    (36)  op2(e23, e22) = e20
% 243.95/48.26    (37)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 243.95/48.26              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 243.95/48.26            e20 & op2(e20, e21) = e20)
% 243.95/48.26    (38)   ~ (all_16_1 = e23)
% 243.95/48.26    (39)   ~ (all_16_20 = e22)
% 243.95/48.26    (40)  all_24_13 = e24
% 243.95/48.26    (41)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 243.95/48.26              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 243.95/48.26            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 243.95/48.26    (42)  op2(e24, e20) = all_16_20
% 243.95/48.26    (43)  all_24_22 = e22 & op2(e20, e22) = e22
% 243.95/48.26    (44)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 243.95/48.26    (45)   ~ (all_16_8 = e23)
% 243.95/48.26    (46)  op2(e22, e23) = all_16_7
% 243.95/48.26    (47)   ~ (all_16_19 = e24)
% 243.95/48.26    (48)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 243.95/48.26              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.95/48.26            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 243.95/48.26    (49)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 243.95/48.26            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 243.95/48.26            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 243.95/48.26    (50)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 243.95/48.26    (51)   ~ (e21 = e20)
% 243.95/48.26    (52)   ~ (e24 = e22)
% 243.95/48.26    (53)  all_24_17 = e23
% 243.95/48.26    (54)  op2(e23, e24) = all_16_1
% 243.95/48.26    (55)   ~ (e24 = e23)
% 243.95/48.26    (56)  op2(e23, e21) = all_10_1
% 243.95/48.26    (57)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.26            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 243.95/48.26            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 243.95/48.26    (58)  op2(e20, e21) = all_16_19
% 243.95/48.26    (59)  all_20_5 = all_16_1
% 243.95/48.26    (60)  all_24_18 = e24
% 243.95/48.26    (61)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.95/48.26            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.95/48.26            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 243.95/48.26    (62)  all_24_5 = e20
% 243.95/48.26    (63)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 243.95/48.26            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 243.95/48.26            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 243.95/48.26  
% 243.95/48.26  Begin of proof
% 243.95/48.26  | 
% 243.95/48.26  | ALPHA: (43) implies:
% 243.95/48.26  |   (64)  all_24_22 = e22
% 243.95/48.26  | 
% 243.95/48.26  | BETA: splitting (29) gives:
% 243.95/48.26  | 
% 243.95/48.26  | Case 1:
% 243.95/48.26  | | 
% 243.95/48.26  | |   (65)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 243.95/48.26  | |           op2(e20, e23) = e21)
% 243.95/48.26  | | 
% 243.95/48.26  | | REF_CLOSE: (2), (10), (13), (17), (18), (19), (21), (22), (25), (27), (28),
% 243.95/48.26  | |            (30), (36), (45), (46), (52), (53), (55), (56), (57), (61), (63),
% 243.95/48.26  | |            (65) are inconsistent by sub-proof #356.
% 243.95/48.26  | | 
% 243.95/48.26  | Case 2:
% 243.95/48.26  | | 
% 243.95/48.26  | |   (66)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 243.95/48.26  | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 243.95/48.26  | | 
% 243.95/48.26  | | BETA: splitting (66) gives:
% 243.95/48.26  | | 
% 243.95/48.26  | | Case 1:
% 243.95/48.26  | | | 
% 243.95/48.26  | | |   (67)  all_24_22 = e21 & op2(e20, e22) = e21
% 243.95/48.26  | | | 
% 243.95/48.26  | | | REF_CLOSE: (9), (10), (13), (17), (18), (19), (20), (22), (25), (30),
% 243.95/48.26  | | |            (32), (36), (49), (52), (55), (56), (61), (62), (63), (64),
% 243.95/48.26  | | |            (67) are inconsistent by sub-proof #849.
% 243.95/48.26  | | | 
% 243.95/48.26  | | Case 2:
% 243.95/48.26  | | | 
% 243.95/48.26  | | |   (68)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 243.95/48.26  | | |           op2(e20, e20) = e21)
% 243.95/48.26  | | | 
% 243.95/48.26  | | | BETA: splitting (68) gives:
% 243.95/48.26  | | | 
% 243.95/48.26  | | | Case 1:
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | |   (69)  all_24_23 = e21 & op2(e20, e21) = e21
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | | REF_CLOSE: (8), (51), (69) are inconsistent by sub-proof #590.
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | Case 2:
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | |   (70)  all_24_24 = e21 & op2(e20, e20) = e21
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | | ALPHA: (70) implies:
% 243.95/48.26  | | | |   (71)  all_24_24 = e21
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | | BETA: splitting (4) gives:
% 243.95/48.26  | | | | 
% 243.95/48.26  | | | | Case 1:
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | |   (72)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 243.95/48.26  | | | | |           op2(e23, e20) = e22)
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | | REF_CLOSE: (10), (13), (14), (17), (19), (22), (25), (34), (36), (38),
% 243.95/48.26  | | | | |            (39), (42), (50), (54), (55), (56), (59), (63), (72) are
% 243.95/48.26  | | | | |            inconsistent by sub-proof #805.
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | Case 2:
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | |   (73)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 243.95/48.26  | | | | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 243.95/48.26  | | | | |           e22)
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | | BETA: splitting (73) gives:
% 243.95/48.26  | | | | | 
% 243.95/48.26  | | | | | Case 1:
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | |   (74)  all_24_18 = e22 & op2(e22, e20) = e22
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | | ALPHA: (74) implies:
% 243.95/48.26  | | | | | |   (75)  all_24_18 = e22
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | | REF_CLOSE: (52), (60), (75) are inconsistent by sub-proof #728.
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | Case 2:
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | |   (76)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 243.95/48.26  | | | | | |           op2(e20, e20) = e22)
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | | BETA: splitting (76) gives:
% 243.95/48.26  | | | | | | 
% 243.95/48.26  | | | | | | Case 1:
% 243.95/48.26  | | | | | | | 
% 243.95/48.26  | | | | | | |   (77)  all_24_19 = e22 & op2(e21, e20) = e22
% 243.95/48.26  | | | | | | | 
% 243.95/48.26  | | | | | | | ALPHA: (77) implies:
% 243.95/48.26  | | | | | | |   (78)  all_24_19 = e22
% 243.95/48.26  | | | | | | | 
% 243.95/48.26  | | | | | | | BETA: splitting (48) gives:
% 243.95/48.26  | | | | | | | 
% 243.95/48.26  | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | 
% 243.95/48.26  | | | | | | | |   (79)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 =
% 243.95/48.26  | | | | | | | |           e20 & op2(e21, e23) = e20)
% 243.95/48.26  | | | | | | | | 
% 243.95/48.26  | | | | | | | | BETA: splitting (79) gives:
% 243.95/48.26  | | | | | | | | 
% 243.95/48.26  | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | |   (80)  all_24_12 = e20 & op2(e21, e24) = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | ALPHA: (80) implies:
% 243.95/48.26  | | | | | | | | |   (81)  all_24_12 = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | BETA: splitting (7) gives:
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | |   (82)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13
% 243.95/48.26  | | | | | | | | | |           = e21 & op2(e21, e23) = e21)
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | BETA: splitting (82) gives:
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | |   (83)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | ALPHA: (83) implies:
% 243.95/48.26  | | | | | | | | | | |   (84)  all_24_12 = e21
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | REF_CLOSE: (51), (81), (84) are inconsistent by sub-proof
% 243.95/48.26  | | | | | | | | | | |            #703.
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | |   (85)  all_24_13 = e21 & op2(e21, e23) = e21
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | REF_CLOSE: (30), (40), (85) are inconsistent by sub-proof
% 243.95/48.26  | | | | | | | | | | |            #582.
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | |   (86)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15
% 243.95/48.26  | | | | | | | | | |           = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 243.95/48.26  | | | | | | | | | |           op2(e21, e20) = e21)
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | BETA: splitting (86) gives:
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | |   (87)  all_24_14 = e21 & op2(e21, e22) = e21
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | REF_CLOSE: (10), (13), (16), (17), (18), (19), (22), (25),
% 243.95/48.26  | | | | | | | | | | |            (30), (36), (52), (53), (55), (56), (61), (63),
% 243.95/48.26  | | | | | | | | | | |            (87) are inconsistent by sub-proof #707.
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | |   (88)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 243.95/48.26  | | | | | | | | | | |         (all_24_19 = e21 & op2(e21, e20) = e21)
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | BETA: splitting (88) gives:
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | |   (89)  all_24_15 = e21 & op2(e21, e21) = e21
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | ALPHA: (89) implies:
% 243.95/48.26  | | | | | | | | | | | |   (90)  all_24_15 = e21
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | BETA: splitting (5) gives:
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | |   (91)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 243.95/48.26  | | | | | | | | | | | | |           = e21 & op2(e23, e24) = e21)
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (9), (10), (13), (15), (17), (18),
% 243.95/48.26  | | | | | | | | | | | | |            (19), (20), (22), (23), (25), (26), (28), (30),
% 243.95/48.26  | | | | | | | | | | | | |            (32), (33), (35), (36), (44), (49), (51), (52),
% 243.95/48.26  | | | | | | | | | | | | |            (53), (55), (56), (61), (62), (63), (91) are
% 243.95/48.26  | | | | | | | | | | | | |            inconsistent by sub-proof #882.
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | |   (92)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 243.95/48.26  | | | | | | | | | | | | |         (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.95/48.26  | | | | | | | | | | | | |         (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | |   (93)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (17), (18), (19), (22), (25),
% 243.95/48.26  | | | | | | | | | | | | | |            (30), (36), (52), (53), (55), (56), (61), (63),
% 243.95/48.26  | | | | | | | | | | | | | |            (93) are inconsistent by sub-proof #355.
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | |   (94)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 243.95/48.26  | | | | | | | | | | | | | |         (all_24_20 = e21 & op2(e20, e24) = e21)
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | Case 1:
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | |   (95)  all_24_12 = e21 & op2(e21, e24) = e21
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 243.95/48.26  | | | | | | | | | | | | | | |   (96)  all_24_12 = e21
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | COMBINE_EQS: (81), (96) imply:
% 243.95/48.26  | | | | | | | | | | | | | | |   (97)  e21 = e20
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | COMBINE_EQS: (90), (97) imply:
% 243.95/48.26  | | | | | | | | | | | | | | |   (98)  all_24_15 = e20
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (12), (13), (14), (15), (17), (18),
% 243.95/48.26  | | | | | | | | | | | | | | |            (19), (20), (21), (22), (24), (25), (26), (27),
% 243.95/48.26  | | | | | | | | | | | | | | |            (28), (30), (31), (32), (34), (36), (37), (38),
% 243.95/48.26  | | | | | | | | | | | | | | |            (41), (45), (46), (47), (49), (50), (51), (52),
% 243.95/48.26  | | | | | | | | | | | | | | |            (53), (54), (55), (56), (57), (58), (59), (61),
% 243.95/48.26  | | | | | | | | | | | | | | |            (62), (63), (64), (71), (98) are inconsistent by
% 243.95/48.26  | | | | | | | | | | | | | | |            sub-proof #366.
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | |   (99)  all_24_20 = e21 & op2(e20, e24) = e21
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | ALPHA: (99) implies:
% 243.95/48.26  | | | | | | | | | | | | | | |   (100)  all_24_20 = e21
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | | REF_CLOSE: (2), (30), (100) are inconsistent by sub-proof
% 243.95/48.26  | | | | | | | | | | | | | | |            #576.
% 243.95/48.26  | | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | |   (101)  all_24_19 = e21 & op2(e21, e20) = e21
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | ALPHA: (101) implies:
% 243.95/48.26  | | | | | | | | | | | |   (102)  all_24_19 = e21
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | | REF_CLOSE: (9), (10), (13), (17), (18), (19), (20), (22),
% 243.95/48.26  | | | | | | | | | | | |            (25), (30), (32), (36), (49), (52), (55), (56),
% 243.95/48.26  | | | | | | | | | | | |            (61), (62), (63), (78), (102) are inconsistent by
% 243.95/48.26  | | | | | | | | | | | |            sub-proof #685.
% 243.95/48.26  | | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | |   (103)  all_24_13 = e20 & op2(e21, e23) = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | ALPHA: (103) implies:
% 243.95/48.26  | | | | | | | | |   (104)  all_24_13 = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | COMBINE_EQS: (40), (104) imply:
% 243.95/48.26  | | | | | | | | |   (105)  e24 = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | COMBINE_EQS: (2), (105) imply:
% 243.95/48.26  | | | | | | | | |   (106)  all_24_20 = e20
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | | REF_CLOSE: (9), (10), (12), (17), (19), (21), (22), (27),
% 243.95/48.26  | | | | | | | | |            (28), (30), (45), (46), (47), (52), (55), (57),
% 243.95/48.26  | | | | | | | | |            (58), (64), (71), (106) are inconsistent by
% 243.95/48.26  | | | | | | | | |            sub-proof #372.
% 243.95/48.26  | | | | | | | | | 
% 243.95/48.26  | | | | | | | | End of split
% 243.95/48.26  | | | | | | | | 
% 243.95/48.26  | | | | | | | Case 2:
% 243.95/48.26  | | | | | | | | 
% 243.95/48.27  | | | | | | | |   (107)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 243.95/48.27  | | | | | | | |            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 243.95/48.27  | | | | | | | |            op2(e21, e20) = e20)
% 243.95/48.27  | | | | | | | | 
% 243.95/48.27  | | | | | | | | BETA: splitting (107) gives:
% 243.95/48.27  | | | | | | | | 
% 243.95/48.27  | | | | | | | | Case 1:
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | |   (108)  all_24_14 = e20 & op2(e21, e22) = e20
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | REF_CLOSE: (9), (10), (13), (15), (16), (17), (18), (19),
% 243.95/48.27  | | | | | | | | |            (22), (25), (30), (32), (36), (51), (52), (53),
% 243.95/48.27  | | | | | | | | |            (55), (56), (61), (63), (108) are inconsistent by
% 243.95/48.27  | | | | | | | | |            sub-proof #701.
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | Case 2:
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | |   (109)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19
% 243.95/48.27  | | | | | | | | |            = e20 & op2(e21, e20) = e20)
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | BETA: splitting (109) gives:
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | Case 1:
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | |   (110)  all_24_15 = e20 & op2(e21, e21) = e20
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | | ALPHA: (110) implies:
% 243.95/48.27  | | | | | | | | | |   (111)  all_24_15 = e20
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | | REF_CLOSE: (9), (10), (12), (13), (14), (15), (17), (18),
% 243.95/48.27  | | | | | | | | | |            (19), (20), (21), (22), (24), (25), (26), (27),
% 243.95/48.27  | | | | | | | | | |            (28), (30), (31), (32), (34), (36), (37), (38),
% 243.95/48.27  | | | | | | | | | |            (41), (45), (46), (47), (49), (50), (51), (52),
% 243.95/48.27  | | | | | | | | | |            (53), (54), (55), (56), (57), (58), (59), (61),
% 243.95/48.27  | | | | | | | | | |            (62), (63), (64), (71), (111) are inconsistent by
% 243.95/48.27  | | | | | | | | | |            sub-proof #366.
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | Case 2:
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | |   (112)  all_24_19 = e20 & op2(e21, e20) = e20
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | | ALPHA: (112) implies:
% 243.95/48.27  | | | | | | | | | |   (113)  all_24_19 = e20
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | | REF_CLOSE: (9), (10), (13), (15), (17), (18), (19), (20),
% 243.95/48.27  | | | | | | | | | |            (22), (25), (30), (32), (36), (49), (51), (52),
% 243.95/48.27  | | | | | | | | | |            (55), (56), (61), (63), (78), (113) are
% 243.95/48.27  | | | | | | | | | |            inconsistent by sub-proof #634.
% 243.95/48.27  | | | | | | | | | | 
% 243.95/48.27  | | | | | | | | | End of split
% 243.95/48.27  | | | | | | | | | 
% 243.95/48.27  | | | | | | | | End of split
% 243.95/48.27  | | | | | | | | 
% 243.95/48.27  | | | | | | | End of split
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | Case 2:
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | |   (114)  all_24_24 = e22 & op2(e20, e20) = e22
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | | ALPHA: (114) implies:
% 243.95/48.27  | | | | | | |   (115)  all_24_24 = e22
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | | COMBINE_EQS: (71), (115) imply:
% 243.95/48.27  | | | | | | |   (116)  e22 = e21
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | | COMBINE_EQS: (18), (116) imply:
% 243.95/48.27  | | | | | | |   (117)  all_24_2 = e21
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | | REF_CLOSE: (9), (10), (13), (17), (19), (20), (22), (25), (30),
% 243.95/48.27  | | | | | | |            (32), (36), (49), (52), (55), (56), (61), (62), (63),
% 243.95/48.27  | | | | | | |            (117) are inconsistent by sub-proof #1298.
% 243.95/48.27  | | | | | | | 
% 243.95/48.27  | | | | | | End of split
% 243.95/48.27  | | | | | | 
% 243.95/48.27  | | | | | End of split
% 243.95/48.27  | | | | | 
% 243.95/48.27  | | | | End of split
% 243.95/48.27  | | | | 
% 243.95/48.27  | | | End of split
% 243.95/48.27  | | | 
% 243.95/48.27  | | End of split
% 243.95/48.27  | | 
% 243.95/48.27  | End of split
% 243.95/48.27  | 
% 243.95/48.27  End of proof
% 243.95/48.27  
% 243.95/48.27  Sub-proof #355 shows that the following formulas are inconsistent:
% 243.95/48.27  ----------------------------------------------------------------
% 243.95/48.27    (1)  all_24_6 = e21 & op2(e22, e24) = e21
% 243.95/48.27    (2)   ~ (e23 = e21)
% 243.95/48.27    (3)  all_24_6 = e23
% 243.95/48.27    (4)  op2(e23, e21) = e24
% 243.95/48.27    (5)  op2(e23, e23) = e21
% 243.95/48.27    (6)  all_24_2 = e22
% 243.95/48.27    (7)   ~ (e23 = e22)
% 243.95/48.27    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 243.95/48.27           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 243.95/48.27    (9)   ~ (e23 = e20)
% 243.95/48.27    (10)   ~ (e24 = e21)
% 243.95/48.27    (11)  op2(e23, e22) = e20
% 243.95/48.27    (12)   ~ (e24 = e22)
% 243.95/48.27    (13)  all_24_17 = e23
% 243.95/48.27    (14)   ~ (e24 = e23)
% 243.95/48.27    (15)  op2(e23, e21) = all_10_1
% 243.95/48.27    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 243.95/48.27            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 243.95/48.27            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.27    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.27            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.27            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.27  
% 244.00/48.27  Begin of proof
% 244.00/48.27  | 
% 244.00/48.27  | ALPHA: (1) implies:
% 244.00/48.27  |   (18)  all_24_6 = e21
% 244.00/48.27  | 
% 244.00/48.27  | COMBINE_EQS: (3), (18) imply:
% 244.00/48.27  |   (19)  e23 = e21
% 244.00/48.27  | 
% 244.00/48.27  | SIMP: (19) implies:
% 244.00/48.27  |   (20)  e23 = e21
% 244.00/48.27  | 
% 244.00/48.27  | COMBINE_EQS: (13), (20) imply:
% 244.00/48.27  |   (21)  all_24_17 = e21
% 244.00/48.27  | 
% 244.00/48.27  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 244.00/48.27  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 244.00/48.27  | 
% 244.00/48.27  End of proof
% 244.00/48.27  
% 244.00/48.27  Sub-proof #356 shows that the following formulas are inconsistent:
% 244.00/48.27  ----------------------------------------------------------------
% 244.00/48.27    (1)  all_24_20 = e24
% 244.00/48.27    (2)   ~ (e23 = e21)
% 244.00/48.27    (3)  op2(e23, e21) = e24
% 244.00/48.27    (4)  op2(e23, e23) = e21
% 244.00/48.27    (5)  all_24_2 = e22
% 244.00/48.27    (6)   ~ (e23 = e22)
% 244.00/48.27    (7)  op2(e21, e23) = all_16_8
% 244.00/48.27    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.27           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.27    (9)   ~ (e23 = e20)
% 244.00/48.27    (10)   ~ (all_16_7 = e23)
% 244.00/48.27    (11)  op2(e24, e23) = e22
% 244.00/48.27    (12)   ~ (e24 = e21)
% 244.00/48.27    (13)  op2(e23, e22) = e20
% 244.00/48.27    (14)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.00/48.27              e23) = e21)
% 244.00/48.27    (15)   ~ (all_16_8 = e23)
% 244.00/48.27    (16)  op2(e22, e23) = all_16_7
% 244.00/48.27    (17)   ~ (e24 = e22)
% 244.00/48.27    (18)  all_24_17 = e23
% 244.00/48.27    (19)   ~ (e24 = e23)
% 244.00/48.27    (20)  op2(e23, e21) = all_10_1
% 244.00/48.27    (21)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.27            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.00/48.27            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.00/48.27    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.27            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.00/48.27            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.27    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.27            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.27            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.27  
% 244.00/48.27  Begin of proof
% 244.00/48.27  | 
% 244.00/48.27  | BETA: splitting (14) gives:
% 244.00/48.27  | 
% 244.00/48.27  | Case 1:
% 244.00/48.27  | | 
% 244.00/48.27  | |   (24)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.00/48.27  | | 
% 244.00/48.27  | | ALPHA: (24) implies:
% 244.00/48.27  | |   (25)  all_24_20 = e21
% 244.00/48.27  | | 
% 244.00/48.27  | | REF_CLOSE: (1), (12), (25) are inconsistent by sub-proof #576.
% 244.00/48.27  | | 
% 244.00/48.27  | Case 2:
% 244.00/48.27  | | 
% 244.00/48.27  | |   (26)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.00/48.27  | | 
% 244.00/48.27  | | ALPHA: (26) implies:
% 244.00/48.27  | |   (27)  all_24_21 = e21
% 244.00/48.27  | | 
% 244.00/48.27  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.00/48.27  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (27) are
% 244.00/48.27  | |            inconsistent by sub-proof #765.
% 244.00/48.27  | | 
% 244.00/48.27  | End of split
% 244.00/48.27  | 
% 244.00/48.27  End of proof
% 244.00/48.27  
% 244.00/48.27  Sub-proof #357 shows that the following formulas are inconsistent:
% 244.00/48.27  ----------------------------------------------------------------
% 244.00/48.27    (1)  op2(e24, e22) = all_16_10
% 244.00/48.27    (2)   ~ (e24 = e20)
% 244.00/48.27    (3)   ~ (e23 = e21)
% 244.00/48.27    (4)  op2(e23, e21) = e24
% 244.00/48.27    (5)   ~ (all_16_1 = e21)
% 244.00/48.27    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.27           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.27           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.27    (7)  all_24_14 = e23
% 244.00/48.27    (8)  op2(e23, e23) = e21
% 244.00/48.27    (9)  all_24_2 = e22
% 244.00/48.27    (10)   ~ (e23 = e22)
% 244.00/48.27    (11)   ~ (e22 = e20)
% 244.00/48.27    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.27            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.27    (13)   ~ (e23 = e20)
% 244.00/48.27    (14)   ~ (all_16_10 = e22)
% 244.00/48.27    (15)   ~ (e24 = e21)
% 244.00/48.27    (16)   ~ (e22 = e21)
% 244.00/48.27    (17)   ~ (all_16_1 = e20)
% 244.00/48.27    (18)  op2(e23, e22) = e20
% 244.00/48.27    (19)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 244.00/48.27            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 244.00/48.27            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.00/48.27    (20)   ~ (all_16_1 = e23)
% 244.00/48.27    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.00/48.27            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.00/48.27            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.00/48.27    (22)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.00/48.27    (23)   ~ (e21 = e20)
% 244.00/48.27    (24)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.00/48.27            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.00/48.27            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.00/48.27    (25)   ~ (e24 = e22)
% 244.00/48.27    (26)  all_24_17 = e23
% 244.00/48.27    (27)  op2(e23, e24) = all_16_1
% 244.00/48.27    (28)   ~ (e24 = e23)
% 244.00/48.27    (29)  op2(e23, e21) = all_10_1
% 244.00/48.27    (30)  all_20_5 = all_16_1
% 244.00/48.27    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.27            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.00/48.27            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.27    (32)  all_24_5 = e20
% 244.00/48.27    (33)  all_24_22 = e20
% 244.00/48.27    (34)  all_24_4 = e24
% 244.00/48.27    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.27            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.27            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.27  
% 244.00/48.27  Begin of proof
% 244.00/48.27  | 
% 244.00/48.27  | BETA: splitting (24) gives:
% 244.00/48.27  | 
% 244.00/48.27  | Case 1:
% 244.00/48.27  | | 
% 244.00/48.27  | |   (36)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 244.00/48.27  | |             e22) = e21)
% 244.00/48.27  | | 
% 244.00/48.27  | | BETA: splitting (36) gives:
% 244.00/48.27  | | 
% 244.00/48.27  | | Case 1:
% 244.00/48.27  | | | 
% 244.00/48.27  | | |   (37)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.00/48.27  | | | 
% 244.00/48.27  | | | REF_CLOSE: (15), (34), (37) are inconsistent by sub-proof #759.
% 244.00/48.27  | | | 
% 244.00/48.27  | | Case 2:
% 244.00/48.27  | | | 
% 244.00/48.27  | | |   (38)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.00/48.27  | | | 
% 244.00/48.27  | | | REF_CLOSE: (12), (18), (23), (38) are inconsistent by sub-proof #1318.
% 244.00/48.27  | | | 
% 244.00/48.27  | | End of split
% 244.00/48.27  | | 
% 244.00/48.27  | Case 2:
% 244.00/48.27  | | 
% 244.00/48.27  | |   (39)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 244.00/48.27  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.00/48.27  | | 
% 244.00/48.27  | | BETA: splitting (39) gives:
% 244.00/48.27  | | 
% 244.00/48.27  | | Case 1:
% 244.00/48.27  | | | 
% 244.00/48.27  | | |   (40)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.00/48.27  | | | 
% 244.00/48.27  | | | ALPHA: (40) implies:
% 244.00/48.27  | | |   (41)  all_24_8 = e21
% 244.00/48.27  | | | 
% 244.00/48.28  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.00/48.28  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 244.00/48.28  | | |            (23), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 244.00/48.28  | | |            (35), (41) are inconsistent by sub-proof #358.
% 244.00/48.28  | | | 
% 244.00/48.28  | | Case 2:
% 244.00/48.28  | | | 
% 244.00/48.28  | | |   (42)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 244.00/48.28  | | |           op2(e20, e22) = e21)
% 244.00/48.28  | | | 
% 244.00/48.28  | | | BETA: splitting (42) gives:
% 244.00/48.28  | | | 
% 244.00/48.28  | | | Case 1:
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | |   (43)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | | REF_CLOSE: (3), (4), (7), (8), (9), (10), (12), (13), (15), (18), (25),
% 244.00/48.28  | | | |            (26), (28), (29), (31), (35), (43) are inconsistent by
% 244.00/48.28  | | | |            sub-proof #707.
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | Case 2:
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | |   (44)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | | REF_CLOSE: (23), (33), (44) are inconsistent by sub-proof #756.
% 244.00/48.28  | | | | 
% 244.00/48.28  | | | End of split
% 244.00/48.28  | | | 
% 244.00/48.28  | | End of split
% 244.00/48.28  | | 
% 244.00/48.28  | End of split
% 244.00/48.28  | 
% 244.00/48.28  End of proof
% 244.00/48.28  
% 244.00/48.28  Sub-proof #358 shows that the following formulas are inconsistent:
% 244.00/48.28  ----------------------------------------------------------------
% 244.00/48.28    (1)  op2(e24, e22) = all_16_10
% 244.00/48.28    (2)   ~ (e24 = e20)
% 244.00/48.28    (3)   ~ (e23 = e21)
% 244.00/48.28    (4)  op2(e23, e21) = e24
% 244.00/48.28    (5)   ~ (all_16_1 = e21)
% 244.00/48.28    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.28           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.28           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.28    (7)  all_24_14 = e23
% 244.00/48.28    (8)  op2(e23, e23) = e21
% 244.00/48.28    (9)  all_24_2 = e22
% 244.00/48.28    (10)   ~ (e23 = e22)
% 244.00/48.28    (11)   ~ (e22 = e20)
% 244.00/48.28    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.28            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.28    (13)   ~ (e23 = e20)
% 244.00/48.28    (14)   ~ (all_16_10 = e22)
% 244.00/48.28    (15)   ~ (e24 = e21)
% 244.00/48.28    (16)   ~ (e22 = e21)
% 244.00/48.28    (17)   ~ (all_16_1 = e20)
% 244.00/48.28    (18)  op2(e23, e22) = e20
% 244.00/48.28    (19)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 244.00/48.28            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 244.00/48.28            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.00/48.28    (20)   ~ (all_16_1 = e23)
% 244.00/48.28    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.00/48.28            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.00/48.28            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.00/48.28    (22)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.00/48.28    (23)   ~ (e21 = e20)
% 244.00/48.28    (24)   ~ (e24 = e22)
% 244.00/48.28    (25)  all_24_17 = e23
% 244.00/48.28    (26)  op2(e23, e24) = all_16_1
% 244.00/48.28    (27)   ~ (e24 = e23)
% 244.00/48.28    (28)  op2(e23, e21) = all_10_1
% 244.00/48.28    (29)  all_24_8 = e21
% 244.00/48.28    (30)  all_20_5 = all_16_1
% 244.00/48.28    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.28            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.00/48.28            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.28    (32)  all_24_5 = e20
% 244.00/48.28    (33)  all_24_22 = e20
% 244.00/48.28    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.28            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.28            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.28  
% 244.00/48.28  Begin of proof
% 244.00/48.28  | 
% 244.00/48.28  | BETA: splitting (19) gives:
% 244.00/48.28  | 
% 244.00/48.28  | Case 1:
% 244.00/48.28  | | 
% 244.00/48.28  | |   (35)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 244.00/48.28  | |             e22) = e22)
% 244.00/48.28  | | 
% 244.00/48.28  | | REF_CLOSE: (1), (11), (12), (14), (18), (35) are inconsistent by sub-proof
% 244.00/48.28  | |            #668.
% 244.00/48.28  | | 
% 244.00/48.28  | Case 2:
% 244.00/48.28  | | 
% 244.00/48.29  | |   (36)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 & op2(e21,
% 244.00/48.29  | |             e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.00/48.29  | | 
% 244.00/48.29  | | BETA: splitting (36) gives:
% 244.00/48.29  | | 
% 244.00/48.29  | | Case 1:
% 244.00/48.29  | | | 
% 244.00/48.29  | | |   (37)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.00/48.29  | | | 
% 244.00/48.29  | | | ALPHA: (37) implies:
% 244.00/48.29  | | |   (38)  all_24_8 = e22
% 244.00/48.29  | | | 
% 244.00/48.29  | | | REF_CLOSE: (2), (3), (4), (8), (9), (10), (11), (12), (13), (15), (16),
% 244.00/48.29  | | |            (18), (21), (24), (27), (28), (29), (31), (32), (34), (38) are
% 244.00/48.29  | | |            inconsistent by sub-proof #554.
% 244.00/48.29  | | | 
% 244.00/48.29  | | Case 2:
% 244.00/48.29  | | | 
% 244.00/48.29  | | |   (39)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 244.00/48.29  | | |           op2(e20, e22) = e22)
% 244.00/48.29  | | | 
% 244.00/48.29  | | | BETA: splitting (39) gives:
% 244.00/48.29  | | | 
% 244.00/48.29  | | | Case 1:
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | |   (40)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (12), (13), (17), (18), (20),
% 244.00/48.29  | | | |            (22), (25), (26), (27), (28), (30), (34), (40) are
% 244.00/48.29  | | | |            inconsistent by sub-proof #712.
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | Case 2:
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | |   (41)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (11), (12), (13), (15),
% 244.00/48.29  | | | |            (16), (18), (21), (23), (24), (27), (28), (31), (33), (34),
% 244.00/48.29  | | | |            (41) are inconsistent by sub-proof #748.
% 244.00/48.29  | | | | 
% 244.00/48.29  | | | End of split
% 244.00/48.29  | | | 
% 244.00/48.29  | | End of split
% 244.00/48.29  | | 
% 244.00/48.29  | End of split
% 244.00/48.29  | 
% 244.00/48.29  End of proof
% 244.00/48.29  
% 244.00/48.29  Sub-proof #359 shows that the following formulas are inconsistent:
% 244.00/48.29  ----------------------------------------------------------------
% 244.00/48.29    (1)  all_24_20 = e24
% 244.00/48.29    (2)   ~ (e24 = e20)
% 244.00/48.29    (3)   ~ (e23 = e21)
% 244.00/48.29    (4)  op2(e23, e21) = e24
% 244.00/48.29    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.29           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.29           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.29    (6)  op2(e23, e23) = e21
% 244.00/48.29    (7)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 244.00/48.29             e23) = e20)
% 244.00/48.29    (8)  all_24_2 = e22
% 244.00/48.29    (9)   ~ (e23 = e22)
% 244.00/48.29    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.29            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.29    (11)  all_24_21 = e23
% 244.00/48.29    (12)   ~ (e23 = e20)
% 244.00/48.29    (13)   ~ (e24 = e21)
% 244.00/48.29    (14)   ~ (e22 = e21)
% 244.00/48.29    (15)  op2(e23, e22) = e20
% 244.00/48.29    (16)   ~ (e21 = e20)
% 244.00/48.29    (17)   ~ (e24 = e22)
% 244.00/48.29    (18)  all_24_17 = e23
% 244.00/48.29    (19)   ~ (e24 = e23)
% 244.00/48.29    (20)  op2(e23, e21) = all_10_1
% 244.00/48.29    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.29            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.00/48.29            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.29    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.29            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.29            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.29  
% 244.00/48.29  Begin of proof
% 244.00/48.29  | 
% 244.00/48.29  | BETA: splitting (7) gives:
% 244.00/48.29  | 
% 244.00/48.29  | Case 1:
% 244.00/48.29  | | 
% 244.00/48.29  | |   (23)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.00/48.29  | | 
% 244.00/48.29  | | REF_CLOSE: (1), (2), (23) are inconsistent by sub-proof #605.
% 244.00/48.29  | | 
% 244.00/48.29  | Case 2:
% 244.00/48.29  | | 
% 244.00/48.29  | |   (24)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.00/48.29  | | 
% 244.00/48.29  | | ALPHA: (24) implies:
% 244.00/48.29  | |   (25)  all_24_21 = e20
% 244.00/48.29  | | 
% 244.00/48.29  | | COMBINE_EQS: (11), (25) imply:
% 244.00/48.29  | |   (26)  e23 = e20
% 244.00/48.29  | | 
% 244.00/48.29  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (14), (15),
% 244.00/48.29  | |            (16), (17), (18), (19), (20), (21), (22), (26) are inconsistent
% 244.00/48.29  | |            by sub-proof #833.
% 244.00/48.29  | | 
% 244.00/48.29  | End of split
% 244.00/48.29  | 
% 244.00/48.29  End of proof
% 244.00/48.29  
% 244.00/48.29  Sub-proof #360 shows that the following formulas are inconsistent:
% 244.00/48.29  ----------------------------------------------------------------
% 244.00/48.29    (1)  op2(e24, e22) = all_16_10
% 244.00/48.29    (2)   ~ (all_16_10 = all_4_2)
% 244.00/48.29    (3)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.00/48.29           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.00/48.29           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.00/48.29    (4)   ~ (all_16_10 = e20)
% 244.00/48.29    (5)  op2(e22, all_4_2) = all_4_1
% 244.00/48.29    (6)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.00/48.29           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.00/48.29           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.00/48.29    (7)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.00/48.29           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.00/48.29           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.00/48.29    (8)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.00/48.29             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.00/48.29           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.00/48.29    (9)  op2(e22, unit2) = e22
% 244.00/48.29    (10)   ~ (all_16_15 = e24)
% 244.00/48.29    (11)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.00/48.29              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.00/48.29            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.00/48.29    (12)  op2(e23, unit2) = e23
% 244.00/48.29    (13)  op2(e20, e24) = all_16_4
% 244.00/48.29    (14)   ~ (all_16_14 = e23)
% 244.00/48.29    (15)   ~ (all_16_14 = all_4_2)
% 244.00/48.29    (16)   ~ (all_16_22 = all_4_2)
% 244.00/48.29    (17)  all_24_8 = e24
% 244.00/48.29    (18)   ~ (e24 = e20)
% 244.00/48.29    (19)   ~ (e23 = e21)
% 244.00/48.29    (20)  all_24_6 = e23
% 244.00/48.29    (21)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.00/48.29              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.00/48.29            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.00/48.29    (22)  op2(e23, e21) = e24
% 244.00/48.29    (23)   ~ (all_16_1 = e21)
% 244.00/48.29    (24)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.29            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.29            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.29    (25)  all_24_14 = e23
% 244.00/48.29    (26)  op2(e23, e23) = e21
% 244.00/48.29    (27)  op2(e22, e20) = all_16_22
% 244.00/48.29    (28)  all_24_2 = e22
% 244.00/48.29    (29)   ~ (e23 = e22)
% 244.00/48.29    (30)  op2(e20, unit2) = e20
% 244.00/48.29    (31)   ~ (e22 = e20)
% 244.00/48.29    (32)  op2(e21, e23) = all_16_8
% 244.00/48.29    (33)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.00/48.29            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.00/48.29            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.00/48.29    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.29            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.29    (35)  op2(e23, e24) = e22
% 244.00/48.29    (36)  op2(e22, all_4_0) = all_4_3
% 244.00/48.29    (37)  all_24_21 = e23
% 244.00/48.29    (38)   ~ (all_16_22 = e20)
% 244.00/48.29    (39)   ~ (e23 = e20)
% 244.00/48.29    (40)  all_24_9 = e23
% 244.00/48.29    (41)   ~ (all_16_7 = e23)
% 244.00/48.29    (42)  op2(e24, e23) = e22
% 244.00/48.29    (43)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.00/48.29              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.00/48.29            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.00/48.29    (44)   ~ (all_16_10 = e22)
% 244.00/48.29    (45)   ~ (e24 = e21)
% 244.00/48.29    (46)  op2(e20, e22) = all_16_14
% 244.00/48.29    (47)   ~ (all_16_17 = e23)
% 244.00/48.29    (48)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.00/48.29              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.00/48.29            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.00/48.29    (49)  op2(e21, all_6_2) = all_6_1
% 244.00/48.29    (50)   ~ (e22 = e21)
% 244.00/48.29    (51)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.00/48.29            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.00/48.29            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.00/48.29    (52)   ~ (all_16_1 = e20)
% 244.00/48.29    (53)   ~ (all_4_2 = e20)
% 244.00/48.29    (54)  op2(e24, unit2) = e24
% 244.00/48.29    (55)  op2(e23, e22) = e20
% 244.00/48.29    (56)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 244.00/48.29              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 244.00/48.29            e20 & op2(e20, e21) = e20)
% 244.00/48.29    (57)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 244.00/48.29            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 244.00/48.29            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.00/48.29    (58)   ~ (all_16_1 = e23)
% 244.00/48.29    (59)   ~ (all_4_2 = e23)
% 244.00/48.29    (60)  all_24_13 = e24
% 244.00/48.29    (61)   ~ (all_16_14 = e20)
% 244.00/48.29    (62)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.00/48.29              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.00/48.29            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.00/48.29    (63)   ~ (all_16_4 = all_16_19)
% 244.00/48.29    (64)   ~ (all_16_19 = e23)
% 244.00/48.29    (65)  all_24_1 = e22
% 244.00/48.29    (66)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.00/48.29            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.00/48.29            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.00/48.29    (67)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.00/48.29    (68)   ~ (all_16_17 = all_16_22)
% 244.00/48.29    (69)   ~ (all_16_17 = all_4_2)
% 244.00/48.29    (70)  op2(e22, e21) = all_16_17
% 244.00/48.29    (71)  op2(all_6_1, e21) = all_6_0
% 244.00/48.29    (72)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.29            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.00/48.29            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.00/48.29    (73)   ~ (all_16_22 = e23)
% 244.00/48.29    (74)   ~ (all_16_8 = e23)
% 244.00/48.29    (75)  op2(e22, e23) = all_16_7
% 244.00/48.29    (76)   ~ (all_16_19 = e24)
% 244.00/48.29    (77)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.00/48.29              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 244.00/48.29            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.00/48.29    (78)  op2(e21, e21) = all_6_2
% 244.00/48.29    (79)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.00/48.29            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.00/48.29            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.00/48.29    (80)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.00/48.29    (81)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.00/48.29            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.00/48.29            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.00/48.29    (82)   ~ (e21 = e20)
% 244.00/48.29    (83)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.00/48.29            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.00/48.29            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.00/48.29    (84)  op2(e24, e21) = all_16_15
% 244.00/48.29    (85)   ~ (e24 = e22)
% 244.00/48.29    (86)   ~ (all_16_17 = e20)
% 244.00/48.29    (87)  op2(e22, e24) = e23
% 244.00/48.29    (88)  all_24_17 = e23
% 244.00/48.29    (89)  op2(e21, e22) = e23
% 244.00/48.30    (90)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.00/48.30    (91)  op2(e23, e24) = all_16_1
% 244.00/48.30    (92)   ~ (e24 = e23)
% 244.00/48.30    (93)  op2(e23, e21) = all_10_1
% 244.00/48.30    (94)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.30            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.00/48.30            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.00/48.30    (95)  op2(all_4_1, e22) = all_4_0
% 244.00/48.30    (96)  op2(e21, unit2) = e21
% 244.00/48.30    (97)  op2(e22, e22) = all_4_2
% 244.00/48.30    (98)  op2(e20, e21) = all_16_19
% 244.00/48.30    (99)   ~ (all_16_8 = e22)
% 244.00/48.30    (100)  all_20_5 = all_16_1
% 244.00/48.30    (101)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 244.00/48.30               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 244.00/48.30             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.30    (102)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.00/48.30               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 244.00/48.30             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.00/48.30    (103)  all_24_5 = e20
% 244.00/48.30    (104)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.00/48.30               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.00/48.30             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.00/48.30             e21)
% 244.00/48.30    (105)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.00/48.30               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.00/48.30             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.00/48.30    (106)  all_24_3 = e21
% 244.00/48.30    (107)   ~ (all_16_10 = e23)
% 244.00/48.30    (108)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.00/48.30               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.00/48.30             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.30  
% 244.00/48.30  Begin of proof
% 244.00/48.30  | 
% 244.00/48.30  | BETA: splitting (57) gives:
% 244.00/48.30  | 
% 244.00/48.30  | Case 1:
% 244.00/48.30  | | 
% 244.00/48.30  | |   (109)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 244.00/48.30  | |              e22) = e22)
% 244.00/48.30  | | 
% 244.00/48.30  | | REF_CLOSE: (1), (31), (34), (44), (55), (109) are inconsistent by sub-proof
% 244.00/48.30  | |            #668.
% 244.00/48.30  | | 
% 244.00/48.30  | Case 2:
% 244.00/48.30  | | 
% 244.00/48.30  | |   (110)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 244.00/48.30  | |            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.00/48.30  | | 
% 244.00/48.30  | | BETA: splitting (110) gives:
% 244.00/48.30  | | 
% 244.00/48.30  | | Case 1:
% 244.00/48.30  | | | 
% 244.00/48.30  | | |   (111)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.00/48.30  | | | 
% 244.00/48.30  | | | REF_CLOSE: (17), (85), (111) are inconsistent by sub-proof #379.
% 244.00/48.30  | | | 
% 244.00/48.30  | | Case 2:
% 244.00/48.30  | | | 
% 244.00/48.30  | | |   (112)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 244.00/48.30  | | |            op2(e20, e22) = e22)
% 244.00/48.30  | | | 
% 244.00/48.30  | | | BETA: splitting (112) gives:
% 244.00/48.30  | | | 
% 244.00/48.30  | | | Case 1:
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | |   (113)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | | REF_CLOSE: (19), (22), (23), (25), (26), (29), (34), (39), (52), (55),
% 244.00/48.30  | | | |            (58), (80), (88), (91), (92), (93), (100), (108), (113) are
% 244.00/48.30  | | | |            inconsistent by sub-proof #712.
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | Case 2:
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | |   (114)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | | ALPHA: (114) implies:
% 244.00/48.30  | | | |   (115)  all_24_22 = e22
% 244.00/48.30  | | | |   (116)  op2(e20, e22) = e22
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | | BETA: splitting (83) gives:
% 244.00/48.30  | | | | 
% 244.00/48.30  | | | | Case 1:
% 244.00/48.30  | | | | | 
% 244.00/48.30  | | | | |   (117)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 244.00/48.30  | | | | |            op2(e23, e22) = e21)
% 244.00/48.30  | | | | | 
% 244.00/48.30  | | | | | BETA: splitting (117) gives:
% 244.00/48.30  | | | | | 
% 244.00/48.30  | | | | | Case 1:
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | |   (118)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | ALPHA: (118) implies:
% 244.00/48.30  | | | | | |   (119)  all_24_4 = e21
% 244.00/48.30  | | | | | |   (120)  op2(e24, e22) = e21
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | ALPHA: (90) implies:
% 244.00/48.30  | | | | | |   (121)  op2(e22, e22) = e24
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with all_16_14, e22, e22, e20,
% 244.00/48.30  | | | | | |              simplifying with (46), (116) gives:
% 244.00/48.30  | | | | | |   (122)  all_16_14 = e22
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with all_4_2, e24, e22, e22,
% 244.00/48.30  | | | | | |              simplifying with (97), (121) gives:
% 244.00/48.30  | | | | | |   (123)  all_4_2 = e24
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with all_16_10, e21, e22, e24,
% 244.00/48.30  | | | | | |              simplifying with (1), (120) gives:
% 244.00/48.30  | | | | | |   (124)  all_16_10 = e21
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (2), (123), (124) imply:
% 244.00/48.30  | | | | | |   (125)   ~ (e24 = e21)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (107), (124) imply:
% 244.00/48.30  | | | | | |   (126)   ~ (e23 = e21)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (44), (124) imply:
% 244.00/48.30  | | | | | |   (127)   ~ (e22 = e21)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (15), (122), (123) imply:
% 244.00/48.30  | | | | | |   (128)   ~ (e24 = e22)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (14), (122) imply:
% 244.00/48.30  | | | | | |   (129)   ~ (e23 = e22)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (69), (123) imply:
% 244.00/48.30  | | | | | |   (130)   ~ (all_16_17 = e24)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (16), (123) imply:
% 244.00/48.30  | | | | | |   (131)   ~ (all_16_22 = e24)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (5), (123) imply:
% 244.00/48.30  | | | | | |   (132)  op2(e22, e24) = all_4_1
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with e23, all_4_1, e24, e22,
% 244.00/48.30  | | | | | |              simplifying with (87), (132) gives:
% 244.00/48.30  | | | | | |   (133)  all_4_1 = e23
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (95), (133) imply:
% 244.00/48.30  | | | | | |   (134)  op2(e23, e22) = all_4_0
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with e20, all_4_0, e22, e23,
% 244.00/48.30  | | | | | |              simplifying with (55), (134) gives:
% 244.00/48.30  | | | | | |   (135)  all_4_0 = e20
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (36), (135) imply:
% 244.00/48.30  | | | | | |   (136)  op2(e22, e20) = all_4_3
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | GROUND_INST: instantiating (34) with all_16_22, all_4_3, e20, e22,
% 244.00/48.30  | | | | | |              simplifying with (27), (136) gives:
% 244.00/48.30  | | | | | |   (137)  all_16_22 = all_4_3
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (68), (137) imply:
% 244.00/48.30  | | | | | |   (138)   ~ (all_16_17 = all_4_3)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (131), (137) imply:
% 244.00/48.30  | | | | | |   (139)   ~ (all_4_3 = e24)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (73), (137) imply:
% 244.00/48.30  | | | | | |   (140)   ~ (all_4_3 = e23)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | REDUCE: (38), (137) imply:
% 244.00/48.30  | | | | | |   (141)   ~ (all_4_3 = e20)
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | BETA: splitting (102) gives:
% 244.00/48.30  | | | | | | 
% 244.00/48.30  | | | | | | Case 1:
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | |   (142)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21
% 244.00/48.30  | | | | | | |            & op2(e22, e23) = e21)
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | | REF_CLOSE: (18), (19), (20), (22), (24), (26), (28), (29), (31),
% 244.00/48.30  | | | | | | |            (34), (37), (39), (42), (45), (50), (55), (60), (82),
% 244.00/48.30  | | | | | | |            (85), (88), (92), (93), (101), (105), (108), (142) are
% 244.00/48.30  | | | | | | |            inconsistent by sub-proof #691.
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | Case 2:
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | |   (143)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21
% 244.00/48.30  | | | | | | |            & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22,
% 244.00/48.30  | | | | | | |              e20) = e21)
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | | BETA: splitting (143) gives:
% 244.00/48.30  | | | | | | | 
% 244.00/48.30  | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | |   (144)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | | REF_CLOSE: (17), (45), (144) are inconsistent by sub-proof #690.
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | |   (145)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 =
% 244.00/48.30  | | | | | | | |            e21 & op2(e22, e20) = e21)
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | | BETA: splitting (145) gives:
% 244.00/48.30  | | | | | | | | 
% 244.00/48.30  | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | 
% 244.00/48.30  | | | | | | | | |   (146)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.00/48.30  | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | ALPHA: (146) implies:
% 244.00/48.30  | | | | | | | | |   (147)  all_24_11 = e21
% 244.00/48.30  | | | | | | | | |   (148)  op2(e22, e21) = e21
% 244.00/48.30  | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | BETA: splitting (3) gives:
% 244.00/48.30  | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | |   (149)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.00/48.30  | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | REF_CLOSE: (18), (19), (20), (22), (23), (24), (26), (28),
% 244.00/48.30  | | | | | | | | | |            (29), (31), (34), (37), (39), (42), (45), (50),
% 244.00/48.30  | | | | | | | | | |            (52), (55), (58), (65), (72), (79), (80), (82),
% 244.00/48.30  | | | | | | | | | |            (85), (88), (91), (92), (93), (100), (101), (105),
% 244.00/48.30  | | | | | | | | | |            (106), (108), (149) are inconsistent by sub-proof
% 244.00/48.30  | | | | | | | | | |            #693.
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | |   (150)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11
% 244.00/48.30  | | | | | | | | | |            = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 244.00/48.30  | | | | | | | | | |            op2(e22, e20) = e22)
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | BETA: splitting (150) gives:
% 244.00/48.30  | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | |   (151)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | REF_CLOSE: (17), (85), (151) are inconsistent by sub-proof
% 244.00/48.30  | | | | | | | | | | |            #379.
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | |   (152)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.00/48.30  | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | BETA: splitting (152) gives:
% 244.00/48.30  | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | |   (153)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | ALPHA: (153) implies:
% 244.00/48.30  | | | | | | | | | | | |   (154)  all_24_11 = e22
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (26), (28), (29), (31), (34),
% 244.00/48.30  | | | | | | | | | | | |            (39), (45), (50), (55), (79), (85), (92), (93),
% 244.00/48.30  | | | | | | | | | | | |            (101), (103), (108), (147), (154) are inconsistent
% 244.00/48.30  | | | | | | | | | | | |            by sub-proof #792.
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | |   (155)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | ALPHA: (155) implies:
% 244.00/48.30  | | | | | | | | | | | |   (156)  all_24_18 = e22
% 244.00/48.30  | | | | | | | | | | | |   (157)  op2(e22, e20) = e22
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | BETA: splitting (62) gives:
% 244.00/48.30  | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | |   (158)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.00/48.30  | | | | | | | | | | | | |          (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | REF_CLOSE: (19), (22), (23), (26), (29), (34), (39), (40),
% 244.00/48.30  | | | | | | | | | | | | |            (52), (55), (58), (80), (85), (88), (91), (92),
% 244.00/48.30  | | | | | | | | | | | | |            (93), (100), (108), (158) are inconsistent by
% 244.00/48.30  | | | | | | | | | | | | |            sub-proof #378.
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | |   (159)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.00/48.30  | | | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.00/48.30  | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | BETA: splitting (159) gives:
% 244.00/48.30  | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | |   (160)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | ALPHA: (160) implies:
% 244.00/48.30  | | | | | | | | | | | | | |   (161)  all_24_11 = e22
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (26), (28), (29), (31), (34),
% 244.00/48.30  | | | | | | | | | | | | | |            (39), (45), (50), (55), (79), (85), (92), (93),
% 244.00/48.30  | | | | | | | | | | | | | |            (101), (103), (108), (147), (161) are inconsistent
% 244.00/48.30  | | | | | | | | | | | | | |            by sub-proof #792.
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | |   (162)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.00/48.30  | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 244.00/48.30  | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | |   (163)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.00/48.30  | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 244.00/48.30  | | | | | | | | | | | | | | |   (164)  op2(e21, e21) = e22
% 244.00/48.30  | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | |   (165)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 244.00/48.30  | | | | | | | | | | | | | | | |          (all_24_10 = e20 & op2(e23, e21) = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (24), (26), (28), (29), (34),
% 244.00/48.30  | | | | | | | | | | | | | | | |            (39), (40), (45), (50), (55), (82), (85), (88),
% 244.00/48.30  | | | | | | | | | | | | | | | |            (92), (93), (101), (108), (165) are inconsistent
% 244.00/48.30  | | | | | | | | | | | | | | | |            by sub-proof #377.
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | |   (166)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.00/48.30  | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.30  | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | |   (167)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (147), (167) are inconsistent by sub-proof
% 244.00/48.30  | | | | | | | | | | | | | | | | |            #556.
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | |   (168)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.30  | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (169)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (170)  all_24_15 = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (8), (10), (12), (17), (18),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (25), (26),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (28), (29), (31), (32), (33), (34), (35), (37),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (45), (48), (50), (51),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (52), (54), (55), (56), (58), (60), (62), (65),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (66), (67), (70), (72), (74), (75), (76), (79),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (80), (81), (82), (84), (85), (88), (91), (92),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (93), (94), (98), (99), (100), (101), (103),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (104), (105), (106), (108), (115), (119), (130),
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            (147), (156), (157), (170) are inconsistent by
% 244.00/48.30  | | | | | | | | | | | | | | | | | |            sub-proof #365.
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (171)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (172)  all_24_23 = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (173)  op2(e20, e21) = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_16_19, e20, e21, e20,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (98), (173) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (174)  all_16_19 = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_6_2, e22, e21, e21,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (78), (164) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (175)  all_6_2 = e22
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_4_3, e22, e20, e22,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (136), (157) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (176)  all_4_3 = e22
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_16_17, e21, e21, e22,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (70), (148) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (177)  all_16_17 = e21
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REDUCE: (63), (174) imply:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (178)   ~ (all_16_4 = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REDUCE: (76), (174) imply:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (179)   ~ (e24 = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REDUCE: (64), (174) imply:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (180)   ~ (e23 = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REDUCE: (49), (175) imply:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (181)  op2(e21, e22) = all_6_1
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with e23, all_6_1, e22, e21,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (89), (181) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (182)  all_6_1 = e23
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | REDUCE: (71), (182) imply:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (183)  op2(e23, e21) = all_6_0
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with e24, all_6_0, e21, e23,
% 244.00/48.30  | | | | | | | | | | | | | | | | | |              simplifying with (22), (183) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | |   (184)  all_6_0 = e24
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | |   (185)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.00/48.30  | | | | | | | | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | |   (186)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | |   (187)  all_24_0 = e20
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |   (188)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (12), (18), (19), (22), (24), (26),
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            (28), (29), (31), (34), (35), (39), (40), (42),
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            (45), (50), (51), (54), (55), (65), (67), (82),
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            (85), (88), (92), (93), (101), (108), (188) are
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #364.
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |   (189)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | |   (190)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_24_4 = e24
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (119), (191) are inconsistent by sub-proof
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | |            #852.
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.30  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (34), (84), (193) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_24_16 = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e23, e24) = e24)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (12), (18), (19), (22), (24), (26),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (31), (34), (35), (39), (40), (42),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |            (45), (50), (51), (54), (55), (67), (79), (82),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |            (85), (88), (92), (93), (101), (108), (196) are
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #696.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (20), (22), (24), (26), (28), (29),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (39), (42), (45), (50), (55),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (65), (72), (82), (85), (88), (92), (93),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (105), (106), (108), (198) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #695.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_24_12 = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_24_12 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (204) imply:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  e24 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (34), (45), (65), (66), (84), (85),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (119), (187), (195), (205) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (34), (45), (60), (65), (66), (84),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (119), (187), (195), (206) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #362.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (24), (25), (26), (28), (29),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (39), (45), (50), (55), (82), (85), (88),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (101), (108), (208) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_24_15 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (23), (24), (26), (28), (29),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (39), (40), (45), (50), (52), (55),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (62), (79), (80), (82), (85), (88), (91),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (100), (101), (103), (108), (147),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (211) are inconsistent by sub-proof #369.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (22), (30), (34), (39), (55), (67),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (96), (178), (212) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #779.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_24_20 = e24
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (26), (29), (31), (34), (39),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (50), (55), (79), (82), (85), (92), (93),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (103), (108), (187), (215) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #880.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (22), (26), (28), (29), (34), (39),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (55), (85), (88), (92), (93), (101), (108),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217) are inconsistent by sub-proof #704.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_24_12 = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (10), (12), (17), (18), (19), (20),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (24), (26), (28), (29), (31), (34), (35),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (42), (45), (50), (51), (54), (55),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (66), (67), (70), (79), (81), (82), (84),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (88), (92), (93), (101), (108), (119),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (147), (156), (195), (214), (222) are
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #361.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_24_21 = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (22), (26), (28), (29), (32), (34), (39),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (42), (45), (55), (74), (75), (85), (88),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (94), (101), (108), (224) are
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #765.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (26), (28), (29), (31), (34),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (45), (50), (55), (79), (85), (92), (93),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (103), (108), (115), (226) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #849.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (172), (228) are inconsistent by sub-proof
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #590.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_24_24 = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_24_12 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (220), (233) are inconsistent by sub-proof
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #703.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (34), (45), (60), (65), (66), (84),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (119), (187), (195), (234) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #362.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (24), (25), (26), (28), (29),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (39), (45), (50), (55), (82), (85), (88),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (101), (108), (236) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_24_15 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (22), (23), (24), (26), (28),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (34), (37), (39), (40), (41),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (45), (48), (50), (52), (55), (56), (58),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (74), (75), (76), (79), (80), (82), (85),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (91), (92), (93), (94), (98), (100), (101),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (108), (115), (230), (239) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #366.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (22), (30), (34), (39), (55), (67),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (96), (178), (240) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #779.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (10), (12), (17), (18), (19), (20),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (24), (26), (28), (29), (31), (34), (35),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (42), (45), (50), (51), (54), (55),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (66), (67), (70), (79), (81), (82), (84),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (88), (92), (93), (101), (108), (119),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (147), (156), (195), (214), (241) are
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #361.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | |   (242)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (34), (42), (242) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |   (243)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (12), (18), (19), (22), (24), (26),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            (28), (29), (34), (35), (39), (40), (45), (50),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            (54), (55), (67), (82), (85), (88), (92), (93),
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            (101), (108), (243) are inconsistent by sub-proof
% 244.00/48.31  | | | | | | | | | | | | | | | | | | |            #884.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | |   (244)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 244.00/48.31  | | | | | | | | | | | | | | |   (245)  all_24_23 = e22
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | |   (246)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | |          (all_24_10 = e20 & op2(e23, e21) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (24), (26), (28), (29), (34),
% 244.00/48.31  | | | | | | | | | | | | | | | |            (39), (40), (45), (50), (55), (82), (85), (88),
% 244.00/48.31  | | | | | | | | | | | | | | | |            (92), (93), (101), (108), (246) are inconsistent
% 244.00/48.31  | | | | | | | | | | | | | | | |            by sub-proof #377.
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | |   (247)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | |   (248)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (147), (248) are inconsistent by sub-proof
% 244.00/48.31  | | | | | | | | | | | | | | | | |            #556.
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | |   (249)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.00/48.31  | | | | | | | | | | | | | | | | |          (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | Case 1:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | |   (250)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | |   (251)  all_24_15 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (8), (10), (12), (17), (18),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (25), (26),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (28), (29), (31), (32), (33), (34), (35), (37),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (45), (48), (50), (51),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (52), (54), (55), (56), (58), (60), (62), (65),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (66), (67), (70), (72), (74), (75), (76), (79),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (80), (81), (82), (84), (85), (88), (91), (92),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (93), (94), (98), (99), (100), (101), (103),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (104), (105), (106), (108), (115), (119), (130),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (147), (156), (157), (251) are inconsistent by
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            sub-proof #365.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | |   (252)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | ALPHA: (252) implies:
% 244.00/48.31  | | | | | | | | | | | | | | | | | |   (253)  all_24_23 = e20
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (24), (26), (28), (29), (31),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (34), (39), (45), (50), (55), (79), (82), (85),
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            (92), (93), (101), (108), (245), (253) are
% 244.00/48.31  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #585.
% 244.00/48.31  | | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | | 
% 244.00/48.31  | | | | | | | | Case 2:
% 244.00/48.31  | | | | | | | | | 
% 244.00/48.31  | | | | | | | | |   (254)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.00/48.31  | | | | | | | | | 
% 244.00/48.31  | | | | | | | | | REF_CLOSE: (9), (12), (22), (29), (34), (35), (39), (50),
% 244.00/48.31  | | | | | | | | |            (55), (67), (92), (93), (254) are inconsistent by
% 244.00/48.31  | | | | | | | | |            sub-proof #797.
% 244.00/48.31  | | | | | | | | | 
% 244.00/48.31  | | | | | | | | End of split
% 244.00/48.31  | | | | | | | | 
% 244.00/48.31  | | | | | | | End of split
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | End of split
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | Case 2:
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | |   (255)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | | REF_CLOSE: (34), (55), (82), (255) are inconsistent by sub-proof
% 244.00/48.31  | | | | | |            #1318.
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | End of split
% 244.00/48.31  | | | | | 
% 244.00/48.31  | | | | Case 2:
% 244.00/48.31  | | | | | 
% 244.00/48.31  | | | | |   (256)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.00/48.31  | | | | |            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) =
% 244.00/48.31  | | | | |            e21)
% 244.00/48.31  | | | | | 
% 244.00/48.31  | | | | | BETA: splitting (256) gives:
% 244.00/48.31  | | | | | 
% 244.00/48.31  | | | | | Case 1:
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | |   (257)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | | REF_CLOSE: (17), (45), (257) are inconsistent by sub-proof #690.
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | Case 2:
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | |   (258)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21
% 244.00/48.31  | | | | | |            & op2(e20, e22) = e21)
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | | BETA: splitting (258) gives:
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | | Case 1:
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | |   (259)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | | REF_CLOSE: (19), (22), (25), (26), (28), (29), (34), (39), (45),
% 244.00/48.31  | | | | | | |            (55), (85), (88), (92), (93), (101), (108), (259) are
% 244.00/48.31  | | | | | | |            inconsistent by sub-proof #707.
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | Case 2:
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | |   (260)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | | REF_CLOSE: (18), (19), (22), (26), (28), (29), (31), (34), (39),
% 244.00/48.31  | | | | | | |            (45), (50), (55), (79), (85), (92), (93), (101), (103),
% 244.00/48.31  | | | | | | |            (108), (115), (260) are inconsistent by sub-proof #849.
% 244.00/48.31  | | | | | | | 
% 244.00/48.31  | | | | | | End of split
% 244.00/48.31  | | | | | | 
% 244.00/48.31  | | | | | End of split
% 244.00/48.31  | | | | | 
% 244.00/48.31  | | | | End of split
% 244.00/48.31  | | | | 
% 244.00/48.31  | | | End of split
% 244.00/48.31  | | | 
% 244.00/48.31  | | End of split
% 244.00/48.31  | | 
% 244.00/48.31  | End of split
% 244.00/48.31  | 
% 244.00/48.31  End of proof
% 244.00/48.31  
% 244.00/48.31  Sub-proof #361 shows that the following formulas are inconsistent:
% 244.00/48.31  ----------------------------------------------------------------
% 244.00/48.31    (1)  op2(e24, e22) = all_16_10
% 244.00/48.31    (2)  all_24_20 = e24
% 244.00/48.31    (3)  all_24_16 = e24
% 244.00/48.31    (4)   ~ (all_16_10 = e20)
% 244.00/48.31    (5)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.00/48.31           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.00/48.31           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.00/48.31    (6)   ~ (all_16_15 = e24)
% 244.00/48.31    (7)  op2(e23, unit2) = e23
% 244.00/48.31    (8)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.00/48.31    (9)  all_24_8 = e24
% 244.00/48.31    (10)   ~ (e24 = e20)
% 244.00/48.32    (11)   ~ (e23 = e21)
% 244.00/48.32    (12)  all_24_6 = e23
% 244.00/48.32    (13)  op2(e23, e21) = e24
% 244.00/48.32    (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.32            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.32            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.32    (15)  op2(e23, e23) = e21
% 244.00/48.32    (16)  all_24_2 = e22
% 244.00/48.32    (17)   ~ (e23 = e22)
% 244.00/48.32    (18)   ~ (e22 = e20)
% 244.00/48.32    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.32            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.32    (20)  op2(e23, e24) = e22
% 244.00/48.32    (21)   ~ (e23 = e20)
% 244.00/48.32    (22)  all_24_9 = e23
% 244.00/48.32    (23)  all_24_4 = e21
% 244.00/48.32    (24)  op2(e24, e23) = e22
% 244.00/48.32    (25)   ~ (e24 = e21)
% 244.00/48.32    (26)   ~ (e22 = e21)
% 244.00/48.32    (27)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.00/48.32            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.00/48.32            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.00/48.32    (28)   ~ (all_16_17 = e24)
% 244.00/48.32    (29)  all_24_11 = e21
% 244.00/48.32    (30)  op2(e24, unit2) = e24
% 244.00/48.32    (31)  op2(e23, e22) = e20
% 244.00/48.32    (32)  all_24_1 = e22
% 244.00/48.32    (33)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.00/48.32            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.00/48.32            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.00/48.32    (34)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.00/48.32    (35)  op2(e22, e21) = all_16_17
% 244.00/48.32    (36)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.00/48.32            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.00/48.32            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.00/48.32    (37)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.00/48.32            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.00/48.32            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.00/48.32    (38)   ~ (e21 = e20)
% 244.00/48.32    (39)  op2(e24, e21) = all_16_15
% 244.00/48.32    (40)   ~ (e24 = e22)
% 244.00/48.32    (41)  all_24_17 = e23
% 244.00/48.32    (42)   ~ (e24 = e23)
% 244.00/48.32    (43)  all_24_18 = e22
% 244.00/48.32    (44)  op2(e23, e21) = all_10_1
% 244.00/48.32    (45)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.00/48.32            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.00/48.32            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.00/48.32    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.00/48.32            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.00/48.32            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.00/48.32  
% 244.00/48.32  Begin of proof
% 244.00/48.32  | 
% 244.00/48.32  | ALPHA: (8) implies:
% 244.00/48.32  |   (47)  all_24_20 = e21
% 244.00/48.32  | 
% 244.00/48.32  | COMBINE_EQS: (2), (47) imply:
% 244.00/48.32  |   (48)  e24 = e21
% 244.00/48.32  | 
% 244.00/48.32  | SIMP: (48) implies:
% 244.00/48.32  |   (49)  e24 = e21
% 244.00/48.32  | 
% 244.00/48.32  | COMBINE_EQS: (3), (49) imply:
% 244.00/48.32  |   (50)  all_24_16 = e21
% 244.00/48.32  | 
% 244.00/48.32  | REF_CLOSE: (1), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 244.00/48.32  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 244.00/48.32  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 244.00/48.32  |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (50) are
% 244.00/48.32  |            inconsistent by sub-proof #374.
% 244.00/48.32  | 
% 244.00/48.32  End of proof
% 244.00/48.32  
% 244.00/48.32  Sub-proof #362 shows that the following formulas are inconsistent:
% 244.00/48.32  ----------------------------------------------------------------
% 244.00/48.32    (1)  all_24_16 = e24
% 244.00/48.32    (2)   ~ (all_16_15 = e24)
% 244.00/48.32    (3)   ~ (e24 = e20)
% 244.00/48.32    (4)  all_24_0 = e20
% 244.00/48.32    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.32           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.32    (6)  all_24_4 = e21
% 244.00/48.32    (7)   ~ (e24 = e21)
% 244.00/48.32    (8)  all_24_13 = e24
% 244.00/48.32    (9)  all_24_1 = e22
% 244.00/48.32    (10)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.00/48.32            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.00/48.32            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.00/48.32    (11)  op2(e24, e21) = all_16_15
% 244.00/48.32    (12)   ~ (e24 = e22)
% 244.00/48.32    (13)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.00/48.32  
% 244.00/48.32  Begin of proof
% 244.00/48.32  | 
% 244.00/48.32  | ALPHA: (13) implies:
% 244.00/48.32  |   (14)  all_24_13 = e20
% 244.00/48.32  | 
% 244.00/48.32  | COMBINE_EQS: (8), (14) imply:
% 244.00/48.32  |   (15)  e24 = e20
% 244.00/48.32  | 
% 244.00/48.32  | COMBINE_EQS: (1), (15) imply:
% 244.00/48.32  |   (16)  all_24_16 = e20
% 244.00/48.32  | 
% 244.00/48.32  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (16) are
% 244.00/48.32  |            inconsistent by sub-proof #751.
% 244.00/48.32  | 
% 244.00/48.32  End of proof
% 244.00/48.32  
% 244.00/48.32  Sub-proof #363 shows that the following formulas are inconsistent:
% 244.00/48.32  ----------------------------------------------------------------
% 244.00/48.32    (1)  all_24_16 = e24
% 244.00/48.32    (2)   ~ (all_16_15 = e24)
% 244.00/48.32    (3)   ~ (e24 = e20)
% 244.00/48.32    (4)  all_24_0 = e20
% 244.00/48.32    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.00/48.32           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.00/48.32    (6)  all_24_4 = e21
% 244.00/48.32    (7)   ~ (e24 = e21)
% 244.00/48.32    (8)  e24 = e20
% 244.00/48.32    (9)  all_24_1 = e22
% 244.00/48.32    (10)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.00/48.32            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.00/48.32            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.00/48.32    (11)  op2(e24, e21) = all_16_15
% 244.00/48.32    (12)   ~ (e24 = e22)
% 244.00/48.32  
% 244.00/48.32  Begin of proof
% 244.00/48.32  | 
% 244.00/48.32  | SIMP: (8) implies:
% 244.00/48.32  |   (13)  e24 = e20
% 244.00/48.32  | 
% 244.00/48.32  | COMBINE_EQS: (1), (13) imply:
% 244.00/48.32  |   (14)  all_24_16 = e20
% 244.00/48.32  | 
% 244.00/48.32  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14) are
% 244.00/48.32  |            inconsistent by sub-proof #751.
% 244.00/48.32  | 
% 244.00/48.32  End of proof
% 244.00/48.32  
% 244.00/48.32  Sub-proof #364 shows that the following formulas are inconsistent:
% 244.00/48.32  ----------------------------------------------------------------
% 244.00/48.32    (1)  op2(e24, e22) = all_16_10
% 244.00/48.32    (2)   ~ (all_16_10 = e20)
% 244.00/48.32    (3)  op2(e23, unit2) = e23
% 244.00/48.32    (4)   ~ (e24 = e20)
% 244.00/48.32    (5)   ~ (e23 = e21)
% 244.00/48.32    (6)  op2(e23, e21) = e24
% 244.00/48.32    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.00/48.32           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.00/48.32           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.00/48.32    (8)  op2(e23, e23) = e21
% 244.00/48.32    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.00/48.32           = e24)
% 244.00/48.32    (10)  all_24_2 = e22
% 244.00/48.32    (11)   ~ (e23 = e22)
% 244.16/48.32    (12)   ~ (e22 = e20)
% 244.16/48.32    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.32            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.32    (14)  op2(e23, e24) = e22
% 244.16/48.32    (15)   ~ (e23 = e20)
% 244.16/48.32    (16)  all_24_9 = e23
% 244.16/48.32    (17)  op2(e24, e23) = e22
% 244.16/48.32    (18)   ~ (e24 = e21)
% 244.16/48.32    (19)   ~ (e22 = e21)
% 244.16/48.32    (20)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.16/48.32            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.16/48.32            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.16/48.32    (21)  op2(e24, unit2) = e24
% 244.16/48.32    (22)  op2(e23, e22) = e20
% 244.16/48.32    (23)  all_24_1 = e22
% 244.16/48.32    (24)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.16/48.32    (25)   ~ (e21 = e20)
% 244.16/48.32    (26)   ~ (e24 = e22)
% 244.16/48.32    (27)  all_24_17 = e23
% 244.16/48.32    (28)   ~ (e24 = e23)
% 244.16/48.32    (29)  op2(e23, e21) = all_10_1
% 244.16/48.32    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.32            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.32            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.32    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.32            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.32            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.32  
% 244.16/48.32  Begin of proof
% 244.16/48.32  | 
% 244.16/48.32  | BETA: splitting (9) gives:
% 244.16/48.32  | 
% 244.16/48.32  | Case 1:
% 244.16/48.32  | | 
% 244.16/48.32  | |   (32)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.16/48.32  | | 
% 244.16/48.32  | | ALPHA: (32) implies:
% 244.16/48.32  | |   (33)  all_24_0 = e24
% 244.16/48.32  | | 
% 244.16/48.32  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 244.16/48.32  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 244.16/48.32  | |            (26), (27), (28), (29), (30), (31), (33) are inconsistent by
% 244.16/48.32  | |            sub-proof #697.
% 244.16/48.32  | | 
% 244.16/48.32  | Case 2:
% 244.16/48.32  | | 
% 244.16/48.32  | |   (34)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.16/48.32  | | 
% 244.16/48.32  | | REF_CLOSE: (23), (26), (34) are inconsistent by sub-proof #870.
% 244.16/48.32  | | 
% 244.16/48.32  | End of split
% 244.16/48.32  | 
% 244.16/48.32  End of proof
% 244.16/48.32  
% 244.16/48.32  Sub-proof #365 shows that the following formulas are inconsistent:
% 244.16/48.32  ----------------------------------------------------------------
% 244.16/48.32    (1)  op2(e24, e22) = all_16_10
% 244.16/48.32    (2)   ~ (all_16_10 = e20)
% 244.16/48.32    (3)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.16/48.32           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.16/48.32           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.16/48.32    (4)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.16/48.32           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.16/48.32           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.16/48.32    (5)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.16/48.32             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.16/48.32           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.16/48.32    (6)   ~ (all_16_15 = e24)
% 244.16/48.32    (7)  op2(e23, unit2) = e23
% 244.16/48.32    (8)  all_24_8 = e24
% 244.16/48.32    (9)   ~ (e24 = e20)
% 244.16/48.32    (10)   ~ (e23 = e21)
% 244.16/48.32    (11)  all_24_6 = e23
% 244.16/48.32    (12)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.16/48.32              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.16/48.32            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.16/48.32    (13)  op2(e23, e21) = e24
% 244.16/48.32    (14)   ~ (all_16_1 = e21)
% 244.16/48.32    (15)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.32            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.32            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.32    (16)  all_24_14 = e23
% 244.16/48.32    (17)  op2(e23, e23) = e21
% 244.16/48.32    (18)  op2(e22, e20) = e22
% 244.16/48.32    (19)  all_24_2 = e22
% 244.16/48.32    (20)   ~ (e23 = e22)
% 244.16/48.32    (21)   ~ (e22 = e20)
% 244.16/48.32    (22)  op2(e21, e23) = all_16_8
% 244.16/48.32    (23)  all_24_15 = e20
% 244.16/48.32    (24)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.16/48.32            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.16/48.32            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.16/48.33    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.33            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.33    (26)  op2(e23, e24) = e22
% 244.16/48.33    (27)  all_24_21 = e23
% 244.16/48.33    (28)   ~ (e23 = e20)
% 244.16/48.33    (29)  all_24_9 = e23
% 244.16/48.33    (30)  all_24_4 = e21
% 244.16/48.33    (31)   ~ (all_16_7 = e23)
% 244.16/48.33    (32)  op2(e24, e23) = e22
% 244.16/48.33    (33)   ~ (e24 = e21)
% 244.16/48.33    (34)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.16/48.33              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.16/48.33            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.16/48.33    (35)   ~ (e22 = e21)
% 244.16/48.33    (36)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.16/48.33            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.16/48.33            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.16/48.33    (37)   ~ (all_16_1 = e20)
% 244.16/48.33    (38)   ~ (all_16_17 = e24)
% 244.16/48.33    (39)  all_24_11 = e21
% 244.16/48.33    (40)  op2(e24, unit2) = e24
% 244.16/48.33    (41)  op2(e23, e22) = e20
% 244.16/48.33    (42)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 244.16/48.33              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 244.16/48.33            e20 & op2(e20, e21) = e20)
% 244.16/48.33    (43)   ~ (all_16_1 = e23)
% 244.16/48.33    (44)  all_24_13 = e24
% 244.16/48.33    (45)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.33              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.16/48.33            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.16/48.33    (46)  all_24_1 = e22
% 244.16/48.33    (47)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.16/48.33            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.16/48.33            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.16/48.33    (48)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.16/48.33    (49)  op2(e22, e21) = all_16_17
% 244.16/48.33    (50)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.33            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.16/48.33            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.16/48.33    (51)   ~ (all_16_8 = e23)
% 244.16/48.33    (52)  op2(e22, e23) = all_16_7
% 244.16/48.33    (53)   ~ (all_16_19 = e24)
% 244.16/48.33    (54)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.33            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.33            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.33    (55)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.33    (56)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.16/48.33            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.16/48.33            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.16/48.33    (57)   ~ (e21 = e20)
% 244.16/48.33    (58)  op2(e24, e21) = all_16_15
% 244.16/48.33    (59)   ~ (e24 = e22)
% 244.16/48.33    (60)  all_24_17 = e23
% 244.16/48.33    (61)  op2(e23, e24) = all_16_1
% 244.16/48.33    (62)   ~ (e24 = e23)
% 244.16/48.33    (63)  all_24_18 = e22
% 244.16/48.33    (64)  op2(e23, e21) = all_10_1
% 244.16/48.33    (65)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.33            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.16/48.33            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.16/48.33    (66)  op2(e20, e21) = all_16_19
% 244.16/48.33    (67)   ~ (all_16_8 = e22)
% 244.16/48.33    (68)  all_20_5 = all_16_1
% 244.16/48.33    (69)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.33            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.33            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.33    (70)  all_24_5 = e20
% 244.16/48.33    (71)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.16/48.33              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.16/48.33            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.16/48.33    (72)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.16/48.33            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.16/48.33            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.16/48.33    (73)  all_24_22 = e22
% 244.16/48.33    (74)  all_24_3 = e21
% 244.16/48.33    (75)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.33            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.33            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.33  
% 244.16/48.33  Begin of proof
% 244.16/48.33  | 
% 244.16/48.33  | BETA: splitting (5) gives:
% 244.16/48.33  | 
% 244.16/48.33  | Case 1:
% 244.16/48.33  | | 
% 244.16/48.33  | |   (76)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 244.16/48.33  | |           op2(e21, e23) = e22)
% 244.16/48.33  | | 
% 244.16/48.33  | | BETA: splitting (76) gives:
% 244.16/48.33  | | 
% 244.16/48.33  | | Case 1:
% 244.16/48.33  | | | 
% 244.16/48.33  | | |   (77)  all_24_12 = e22 & op2(e21, e24) = e22
% 244.16/48.33  | | | 
% 244.16/48.33  | | | ALPHA: (77) implies:
% 244.16/48.33  | | |   (78)  all_24_12 = e22
% 244.16/48.33  | | | 
% 244.16/48.33  | | | BETA: splitting (4) gives:
% 244.16/48.33  | | | 
% 244.16/48.33  | | | Case 1:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | |   (79)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 &
% 244.16/48.33  | | | |           op2(e23, e24) = e21)
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | BETA: splitting (79) gives:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | Case 1:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | |   (80)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | ALPHA: (80) implies:
% 244.16/48.33  | | | | |   (81)  all_24_0 = e21
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | BETA: splitting (36) gives:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | Case 1:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (82)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 244.16/48.33  | | | | | |           op2(e24, e23) = e20)
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | BETA: splitting (82) gives:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | Case 1:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | |   (83)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | ALPHA: (83) implies:
% 244.16/48.33  | | | | | | |   (84)  all_24_0 = e20
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | COMBINE_EQS: (81), (84) imply:
% 244.16/48.33  | | | | | | |   (85)  e21 = e20
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | COMBINE_EQS: (39), (85) imply:
% 244.16/48.33  | | | | | | |   (86)  all_24_11 = e20
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | REF_CLOSE: (9), (10), (13), (15), (17), (19), (20), (21), (23),
% 244.16/48.33  | | | | | | |            (25), (26), (28), (29), (33), (34), (35), (41), (45),
% 244.16/48.33  | | | | | | |            (54), (57), (59), (60), (62), (64), (69), (70), (75),
% 244.16/48.33  | | | | | | |            (86) are inconsistent by sub-proof #782.
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | Case 2:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | |   (87)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | REF_CLOSE: (21), (25), (32), (87) are inconsistent by sub-proof
% 244.16/48.33  | | | | | | |            #911.
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | End of split
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | Case 2:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (88)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.16/48.33  | | | | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) =
% 244.16/48.33  | | | | | |           e20)
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | REF_CLOSE: (1), (2), (7), (9), (10), (13), (15), (17), (19), (20),
% 244.16/48.33  | | | | | |            (25), (26), (28), (29), (33), (35), (40), (41), (48),
% 244.16/48.33  | | | | | |            (57), (59), (60), (62), (64), (69), (75), (88) are
% 244.16/48.33  | | | | | |            inconsistent by sub-proof #884.
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | End of split
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | Case 2:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | |   (89)  all_24_2 = e21 & op2(e23, e24) = e21
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | ALPHA: (89) implies:
% 244.16/48.33  | | | | |   (90)  all_24_2 = e21
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | REF_CLOSE: (9), (10), (13), (17), (20), (21), (25), (28), (33), (35),
% 244.16/48.33  | | | | |            (41), (54), (59), (62), (64), (69), (70), (75), (90) are
% 244.16/48.33  | | | | |            inconsistent by sub-proof #1298.
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | End of split
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | Case 2:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | |   (91)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.16/48.33  | | | |           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | BETA: splitting (91) gives:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | Case 1:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | |   (92)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | REF_CLOSE: (10), (11), (13), (17), (19), (20), (25), (28), (33), (41),
% 244.16/48.33  | | | | |            (59), (60), (62), (64), (69), (75), (92) are inconsistent
% 244.16/48.33  | | | | |            by sub-proof #704.
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | Case 2:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | |   (93)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 244.16/48.33  | | | | |           op2(e20, e24) = e21)
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | BETA: splitting (93) gives:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | Case 1:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (94)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | ALPHA: (94) implies:
% 244.16/48.33  | | | | | |   (95)  all_24_12 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | COMBINE_EQS: (78), (95) imply:
% 244.16/48.33  | | | | | |   (96)  e22 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | COMBINE_EQS: (19), (96) imply:
% 244.16/48.33  | | | | | |   (97)  all_24_2 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | REF_CLOSE: (9), (10), (13), (17), (20), (21), (25), (28), (33),
% 244.16/48.33  | | | | | |            (35), (41), (54), (59), (62), (64), (69), (70), (75),
% 244.16/48.33  | | | | | |            (97) are inconsistent by sub-proof #1298.
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | Case 2:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (98)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | ALPHA: (98) implies:
% 244.16/48.33  | | | | | |   (99)  all_24_20 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | BETA: splitting (24) gives:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | Case 1:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | |   (100)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24
% 244.16/48.33  | | | | | | |            & op2(e23, e24) = e24)
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | BETA: splitting (100) gives:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | Case 1:
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | |   (101)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | ALPHA: (101) implies:
% 244.16/48.33  | | | | | | | |   (102)  all_24_0 = e24
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | REF_CLOSE: (1), (2), (7), (9), (10), (13), (15), (17), (19),
% 244.16/48.33  | | | | | | | |            (20), (21), (25), (26), (28), (29), (32), (33), (35),
% 244.16/48.33  | | | | | | | |            (36), (40), (41), (48), (57), (59), (60), (62), (64),
% 244.16/48.33  | | | | | | | |            (69), (75), (102) are inconsistent by sub-proof #697.
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | Case 2:
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | |   (103)  all_24_2 = e24 & op2(e23, e24) = e24
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | REF_CLOSE: (10), (13), (17), (20), (21), (25), (28), (35), (41),
% 244.16/48.33  | | | | | | | |            (54), (59), (62), (64), (75), (103) are inconsistent
% 244.16/48.33  | | | | | | | |            by sub-proof #826.
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | End of split
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | Case 2:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | |   (104)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24
% 244.16/48.33  | | | | | | |            & op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20,
% 244.16/48.33  | | | | | | |              e24) = e24)
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | BETA: splitting (104) gives:
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | | Case 1:
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | |   (105)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | REF_CLOSE: (9), (10), (11), (13), (15), (17), (19), (20), (21),
% 244.16/48.33  | | | | | | | |            (25), (27), (28), (32), (33), (35), (41), (44), (46),
% 244.16/48.33  | | | | | | | |            (50), (57), (59), (60), (62), (64), (69), (72), (74),
% 244.16/48.33  | | | | | | | |            (75), (105) are inconsistent by sub-proof #695.
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | Case 2:
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | |   (106)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 =
% 244.16/48.33  | | | | | | | |            e24 & op2(e20, e24) = e24)
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | BETA: splitting (106) gives:
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | | Case 1:
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | |   (107)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | ALPHA: (107) implies:
% 244.16/48.33  | | | | | | | | |   (108)  all_24_12 = e24
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | COMBINE_EQS: (78), (108) imply:
% 244.16/48.33  | | | | | | | | |   (109)  e24 = e22
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | SIMP: (109) implies:
% 244.16/48.33  | | | | | | | | |   (110)  e24 = e22
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | COMBINE_EQS: (8), (110) imply:
% 244.16/48.33  | | | | | | | | |   (111)  all_24_8 = e22
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | REF_CLOSE: (3), (9), (10), (11), (13), (15), (17), (19), (20),
% 244.16/48.33  | | | | | | | | |            (21), (25), (28), (33), (35), (38), (39), (41),
% 244.16/48.33  | | | | | | | | |            (49), (54), (56), (57), (59), (60), (62), (63),
% 244.16/48.33  | | | | | | | | |            (64), (69), (75), (111) are inconsistent by
% 244.16/48.33  | | | | | | | | |            sub-proof #375.
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | Case 2:
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | |   (112)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | | REF_CLOSE: (33), (99), (112) are inconsistent by sub-proof
% 244.16/48.33  | | | | | | | | |            #823.
% 244.16/48.33  | | | | | | | | | 
% 244.16/48.33  | | | | | | | | End of split
% 244.16/48.33  | | | | | | | | 
% 244.16/48.33  | | | | | | | End of split
% 244.16/48.33  | | | | | | | 
% 244.16/48.33  | | | | | | End of split
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | End of split
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | End of split
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | End of split
% 244.16/48.33  | | | 
% 244.16/48.33  | | Case 2:
% 244.16/48.33  | | | 
% 244.16/48.33  | | |   (113)  all_24_13 = e22 & op2(e21, e23) = e22
% 244.16/48.33  | | | 
% 244.16/48.33  | | | REF_CLOSE: (22), (25), (67), (113) are inconsistent by sub-proof #700.
% 244.16/48.33  | | | 
% 244.16/48.33  | | End of split
% 244.16/48.33  | | 
% 244.16/48.33  | Case 2:
% 244.16/48.33  | | 
% 244.16/48.33  | |   (114)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 244.16/48.33  | |            op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.16/48.33  | | 
% 244.16/48.33  | | BETA: splitting (114) gives:
% 244.16/48.33  | | 
% 244.16/48.33  | | Case 1:
% 244.16/48.33  | | | 
% 244.16/48.33  | | |   (115)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.16/48.33  | | | 
% 244.16/48.33  | | | REF_CLOSE: (10), (13), (14), (16), (17), (20), (25), (28), (37), (41),
% 244.16/48.33  | | |            (43), (55), (60), (61), (62), (64), (68), (75), (115) are
% 244.16/48.33  | | |            inconsistent by sub-proof #712.
% 244.16/48.33  | | | 
% 244.16/48.33  | | Case 2:
% 244.16/48.33  | | | 
% 244.16/48.33  | | |   (116)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 244.16/48.33  | | |            op2(e21, e20) = e22)
% 244.16/48.33  | | | 
% 244.16/48.33  | | | BETA: splitting (116) gives:
% 244.16/48.33  | | | 
% 244.16/48.33  | | | Case 1:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | |   (117)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | ALPHA: (117) implies:
% 244.16/48.33  | | | |   (118)  all_24_15 = e22
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | REF_CLOSE: (9), (10), (13), (15), (17), (19), (20), (21), (23), (25),
% 244.16/48.33  | | | |            (28), (33), (35), (41), (54), (57), (59), (62), (64), (69),
% 244.16/48.33  | | | |            (75), (118) are inconsistent by sub-proof #785.
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | Case 2:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | |   (119)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | ALPHA: (119) implies:
% 244.16/48.33  | | | |   (120)  all_24_19 = e22
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | BETA: splitting (71) gives:
% 244.16/48.33  | | | | 
% 244.16/48.33  | | | | Case 1:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | |   (121)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 244.16/48.33  | | | | |            op2(e23, e20) = e21)
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | BETA: splitting (121) gives:
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | | Case 1:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (122)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | ALPHA: (122) implies:
% 244.16/48.33  | | | | | |   (123)  all_24_16 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (13),
% 244.16/48.33  | | | | | |            (15), (17), (19), (20), (21), (25), (26), (28), (29),
% 244.16/48.33  | | | | | |            (30), (32), (33), (35), (36), (38), (39), (40), (41),
% 244.16/48.33  | | | | | |            (46), (47), (48), (49), (54), (56), (57), (58), (59),
% 244.16/48.33  | | | | | |            (60), (62), (63), (64), (69), (75), (123) are
% 244.16/48.33  | | | | | |            inconsistent by sub-proof #374.
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | Case 2:
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | |   (124)  all_24_17 = e21 & op2(e23, e20) = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | ALPHA: (124) implies:
% 244.16/48.33  | | | | | |   (125)  all_24_17 = e21
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | | REF_CLOSE: (10), (13), (17), (19), (20), (25), (28), (33), (41),
% 244.16/48.33  | | | | | |            (59), (62), (64), (69), (75), (125) are inconsistent by
% 244.16/48.33  | | | | | |            sub-proof #874.
% 244.16/48.33  | | | | | | 
% 244.16/48.33  | | | | | End of split
% 244.16/48.33  | | | | | 
% 244.16/48.33  | | | | Case 2:
% 244.16/48.33  | | | | | 
% 244.16/48.34  | | | | |   (126)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 244.16/48.34  | | | | |            op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.16/48.34  | | | | |            e21)
% 244.16/48.34  | | | | | 
% 244.16/48.34  | | | | | BETA: splitting (126) gives:
% 244.16/48.34  | | | | | 
% 244.16/48.34  | | | | | Case 1:
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | |   (127)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | | REF_CLOSE: (18), (25), (35), (127) are inconsistent by sub-proof
% 244.16/48.34  | | | | | |            #740.
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | Case 2:
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | |   (128)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21
% 244.16/48.34  | | | | | |            & op2(e20, e20) = e21)
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | | BETA: splitting (128) gives:
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | | Case 1:
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | |   (129)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | | ALPHA: (129) implies:
% 244.16/48.34  | | | | | | |   (130)  all_24_19 = e21
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | | REF_CLOSE: (9), (10), (13), (17), (19), (20), (21), (25), (28),
% 244.16/48.34  | | | | | | |            (33), (35), (41), (54), (59), (62), (64), (69), (70),
% 244.16/48.34  | | | | | | |            (75), (120), (130) are inconsistent by sub-proof #685.
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | Case 2:
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | |   (131)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | | ALPHA: (131) implies:
% 244.16/48.34  | | | | | | |   (132)  all_24_24 = e21
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | | REF_CLOSE: (9), (10), (12), (13), (14), (15), (17), (19), (20),
% 244.16/48.34  | | | | | | |            (21), (22), (23), (25), (27), (28), (29), (31), (32),
% 244.16/48.34  | | | | | | |            (33), (34), (35), (37), (41), (42), (43), (45), (51),
% 244.16/48.34  | | | | | | |            (52), (53), (54), (55), (57), (59), (60), (61), (62),
% 244.16/48.34  | | | | | | |            (64), (65), (66), (68), (69), (70), (73), (75), (132)
% 244.16/48.34  | | | | | | |            are inconsistent by sub-proof #366.
% 244.16/48.34  | | | | | | | 
% 244.16/48.34  | | | | | | End of split
% 244.16/48.34  | | | | | | 
% 244.16/48.34  | | | | | End of split
% 244.16/48.34  | | | | | 
% 244.16/48.34  | | | | End of split
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | End of split
% 244.16/48.34  | | | 
% 244.16/48.34  | | End of split
% 244.16/48.34  | | 
% 244.16/48.34  | End of split
% 244.16/48.34  | 
% 244.16/48.34  End of proof
% 244.16/48.34  
% 244.16/48.34  Sub-proof #366 shows that the following formulas are inconsistent:
% 244.16/48.34  ----------------------------------------------------------------
% 244.16/48.34    (1)   ~ (e24 = e20)
% 244.16/48.34    (2)   ~ (e23 = e21)
% 244.16/48.34    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.16/48.34             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.16/48.34           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.16/48.34    (4)  op2(e23, e21) = e24
% 244.16/48.34    (5)   ~ (all_16_1 = e21)
% 244.16/48.34    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.34           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.34           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.34    (7)  op2(e23, e23) = e21
% 244.16/48.34    (8)  all_24_2 = e22
% 244.16/48.34    (9)   ~ (e23 = e22)
% 244.16/48.34    (10)   ~ (e22 = e20)
% 244.16/48.34    (11)  op2(e21, e23) = all_16_8
% 244.16/48.34    (12)  all_24_15 = e20
% 244.16/48.34    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.34            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.34    (14)  all_24_21 = e23
% 244.16/48.34    (15)   ~ (e23 = e20)
% 244.16/48.34    (16)  all_24_9 = e23
% 244.16/48.34    (17)   ~ (all_16_7 = e23)
% 244.16/48.34    (18)  op2(e24, e23) = e22
% 244.16/48.34    (19)   ~ (e24 = e21)
% 244.16/48.34    (20)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.16/48.34              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.16/48.34            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.16/48.34    (21)   ~ (e22 = e21)
% 244.16/48.34    (22)   ~ (all_16_1 = e20)
% 244.16/48.34    (23)  op2(e23, e22) = e20
% 244.16/48.34    (24)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 & op2(e20,
% 244.16/48.34              e23) = e20) | (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 =
% 244.16/48.34            e20 & op2(e20, e21) = e20)
% 244.16/48.34    (25)   ~ (all_16_1 = e23)
% 244.16/48.34    (26)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.34              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.16/48.34            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.16/48.34    (27)  all_24_24 = e21
% 244.16/48.34    (28)   ~ (all_16_8 = e23)
% 244.16/48.34    (29)  op2(e22, e23) = all_16_7
% 244.16/48.34    (30)   ~ (all_16_19 = e24)
% 244.16/48.34    (31)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.34            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.34            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.34    (32)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.34    (33)   ~ (e21 = e20)
% 244.16/48.34    (34)   ~ (e24 = e22)
% 244.16/48.34    (35)  all_24_17 = e23
% 244.16/48.34    (36)  op2(e23, e24) = all_16_1
% 244.16/48.34    (37)   ~ (e24 = e23)
% 244.16/48.34    (38)  op2(e23, e21) = all_10_1
% 244.16/48.34    (39)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.34            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.16/48.34            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.16/48.34    (40)  op2(e20, e21) = all_16_19
% 244.16/48.34    (41)  all_20_5 = all_16_1
% 244.16/48.34    (42)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.34            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.34            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.34    (43)  all_24_5 = e20
% 244.16/48.34    (44)  all_24_22 = e22
% 244.16/48.34    (45)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.34            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.34            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.34  
% 244.16/48.34  Begin of proof
% 244.16/48.34  | 
% 244.16/48.34  | BETA: splitting (24) gives:
% 244.16/48.34  | 
% 244.16/48.34  | Case 1:
% 244.16/48.34  | | 
% 244.16/48.34  | |   (46)  (all_24_20 = e20 & op2(e20, e24) = e20) | (all_24_21 = e20 &
% 244.16/48.34  | |           op2(e20, e23) = e20)
% 244.16/48.34  | | 
% 244.16/48.34  | | BETA: splitting (46) gives:
% 244.16/48.34  | | 
% 244.16/48.34  | | Case 1:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (47)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | ALPHA: (47) implies:
% 244.16/48.34  | | |   (48)  all_24_20 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (1), (2), (3), (7), (9), (11), (13), (17), (18), (19), (27),
% 244.16/48.34  | | |            (28), (29), (30), (34), (37), (39), (40), (44), (48) are
% 244.16/48.34  | | |            inconsistent by sub-proof #372.
% 244.16/48.34  | | | 
% 244.16/48.34  | | Case 2:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (49)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | ALPHA: (49) implies:
% 244.16/48.34  | | |   (50)  all_24_21 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | COMBINE_EQS: (14), (50) imply:
% 244.16/48.34  | | |   (51)  e23 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (13), (15), (19), (21),
% 244.16/48.34  | | |            (23), (33), (34), (35), (37), (38), (42), (45), (51) are
% 244.16/48.34  | | |            inconsistent by sub-proof #833.
% 244.16/48.34  | | | 
% 244.16/48.34  | | End of split
% 244.16/48.34  | | 
% 244.16/48.34  | Case 2:
% 244.16/48.34  | | 
% 244.16/48.34  | |   (52)  (all_24_22 = e20 & op2(e20, e22) = e20) | (all_24_23 = e20 &
% 244.16/48.34  | |           op2(e20, e21) = e20)
% 244.16/48.34  | | 
% 244.16/48.34  | | BETA: splitting (52) gives:
% 244.16/48.34  | | 
% 244.16/48.34  | | Case 1:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (53)  all_24_22 = e20 & op2(e20, e22) = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | ALPHA: (53) implies:
% 244.16/48.34  | | |   (54)  all_24_22 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | COMBINE_EQS: (44), (54) imply:
% 244.16/48.34  | | |   (55)  e22 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | SIMP: (55) implies:
% 244.16/48.34  | | |   (56)  e22 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | COMBINE_EQS: (8), (56) imply:
% 244.16/48.34  | | |   (57)  all_24_2 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (13), (15), (19), (21),
% 244.16/48.34  | | |            (23), (31), (33), (34), (37), (38), (42), (45), (57) are
% 244.16/48.34  | | |            inconsistent by sub-proof #1307.
% 244.16/48.34  | | | 
% 244.16/48.34  | | Case 2:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (58)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | ALPHA: (58) implies:
% 244.16/48.34  | | |   (59)  all_24_23 = e20
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (13), (15),
% 244.16/48.34  | | |            (16), (19), (20), (21), (22), (23), (25), (26), (31), (32),
% 244.16/48.34  | | |            (33), (34), (35), (36), (37), (38), (41), (42), (43), (45),
% 244.16/48.34  | | |            (59) are inconsistent by sub-proof #367.
% 244.16/48.34  | | | 
% 244.16/48.34  | | End of split
% 244.16/48.34  | | 
% 244.16/48.34  | End of split
% 244.16/48.34  | 
% 244.16/48.34  End of proof
% 244.16/48.34  
% 244.16/48.34  Sub-proof #367 shows that the following formulas are inconsistent:
% 244.16/48.34  ----------------------------------------------------------------
% 244.16/48.34    (1)  all_24_23 = e20
% 244.16/48.34    (2)   ~ (e24 = e20)
% 244.16/48.34    (3)   ~ (e23 = e21)
% 244.16/48.34    (4)  op2(e23, e21) = e24
% 244.16/48.34    (5)   ~ (all_16_1 = e21)
% 244.16/48.34    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.34           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.34           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.34    (7)  op2(e23, e23) = e21
% 244.16/48.34    (8)  all_24_2 = e22
% 244.16/48.34    (9)   ~ (e23 = e22)
% 244.16/48.34    (10)   ~ (e22 = e20)
% 244.16/48.34    (11)  all_24_15 = e20
% 244.16/48.34    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.34            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.34    (13)   ~ (e23 = e20)
% 244.16/48.34    (14)  all_24_9 = e23
% 244.16/48.34    (15)   ~ (e24 = e21)
% 244.16/48.34    (16)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.16/48.34              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.16/48.34            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.16/48.34    (17)   ~ (e22 = e21)
% 244.16/48.34    (18)   ~ (all_16_1 = e20)
% 244.16/48.34    (19)  op2(e23, e22) = e20
% 244.16/48.34    (20)   ~ (all_16_1 = e23)
% 244.16/48.34    (21)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.34              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.16/48.34            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.16/48.34    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.34            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.34            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.34    (23)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.34    (24)   ~ (e21 = e20)
% 244.16/48.34    (25)   ~ (e24 = e22)
% 244.16/48.34    (26)  all_24_17 = e23
% 244.16/48.34    (27)  op2(e23, e24) = all_16_1
% 244.16/48.34    (28)   ~ (e24 = e23)
% 244.16/48.34    (29)  op2(e23, e21) = all_10_1
% 244.16/48.34    (30)  all_20_5 = all_16_1
% 244.16/48.34    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.34            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.34            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.34    (32)  all_24_5 = e20
% 244.16/48.34    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.34            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.34            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.34  
% 244.16/48.34  Begin of proof
% 244.16/48.34  | 
% 244.16/48.34  | BETA: splitting (16) gives:
% 244.16/48.34  | 
% 244.16/48.34  | Case 1:
% 244.16/48.34  | | 
% 244.16/48.34  | |   (34)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.16/48.34  | |             e21) = e21)
% 244.16/48.34  | | 
% 244.16/48.34  | | BETA: splitting (34) gives:
% 244.16/48.34  | | 
% 244.16/48.34  | | Case 1:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (35)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (3), (4), (7), (8), (9), (12), (13), (14), (15), (19), (25),
% 244.16/48.34  | | |            (26), (28), (29), (31), (33), (35) are inconsistent by
% 244.16/48.34  | | |            sub-proof #864.
% 244.16/48.34  | | | 
% 244.16/48.34  | | Case 2:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (36)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (4), (12), (15), (29), (36) are inconsistent by sub-proof #789.
% 244.16/48.34  | | | 
% 244.16/48.34  | | End of split
% 244.16/48.34  | | 
% 244.16/48.34  | Case 2:
% 244.16/48.34  | | 
% 244.16/48.34  | |   (37)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 = e21 &
% 244.16/48.34  | |           op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.16/48.34  | | 
% 244.16/48.34  | | BETA: splitting (37) gives:
% 244.16/48.34  | | 
% 244.16/48.34  | | Case 1:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (38)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.16/48.34  | | | 
% 244.16/48.34  | | | ALPHA: (38) implies:
% 244.16/48.34  | | |   (39)  all_24_11 = e21
% 244.16/48.34  | | | 
% 244.16/48.34  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.16/48.34  | | |            (13), (14), (15), (17), (18), (19), (20), (21), (22), (23),
% 244.16/48.34  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 244.16/48.34  | | |            (39) are inconsistent by sub-proof #369.
% 244.16/48.34  | | | 
% 244.16/48.34  | | Case 2:
% 244.16/48.34  | | | 
% 244.16/48.34  | | |   (40)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 244.16/48.34  | | |           op2(e20, e21) = e21)
% 244.16/48.34  | | | 
% 244.16/48.34  | | | BETA: splitting (40) gives:
% 244.16/48.34  | | | 
% 244.16/48.34  | | | Case 1:
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | |   (41)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | | ALPHA: (41) implies:
% 244.16/48.34  | | | |   (42)  all_24_15 = e21
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | | REF_CLOSE: (11), (24), (42) are inconsistent by sub-proof #787.
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | Case 2:
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | |   (43)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | | ALPHA: (43) implies:
% 244.16/48.34  | | | |   (44)  all_24_23 = e21
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | | REF_CLOSE: (1), (24), (44) are inconsistent by sub-proof #368.
% 244.16/48.34  | | | | 
% 244.16/48.34  | | | End of split
% 244.16/48.34  | | | 
% 244.16/48.34  | | End of split
% 244.16/48.34  | | 
% 244.16/48.34  | End of split
% 244.16/48.34  | 
% 244.16/48.34  End of proof
% 244.16/48.34  
% 244.16/48.34  Sub-proof #368 shows that the following formulas are inconsistent:
% 244.16/48.34  ----------------------------------------------------------------
% 244.16/48.34    (1)  all_24_23 = e21
% 244.16/48.34    (2)  all_24_23 = e20
% 244.16/48.34    (3)   ~ (e21 = e20)
% 244.16/48.34  
% 244.16/48.34  Begin of proof
% 244.16/48.34  | 
% 244.16/48.34  | COMBINE_EQS: (1), (2) imply:
% 244.16/48.34  |   (4)  e21 = e20
% 244.16/48.34  | 
% 244.16/48.34  | SIMP: (4) implies:
% 244.16/48.34  |   (5)  e21 = e20
% 244.16/48.34  | 
% 244.16/48.34  | REDUCE: (3), (5) imply:
% 244.16/48.34  |   (6)  $false
% 244.16/48.34  | 
% 244.16/48.34  | CLOSE: (6) is inconsistent.
% 244.16/48.34  | 
% 244.16/48.34  End of proof
% 244.16/48.34  
% 244.16/48.34  Sub-proof #369 shows that the following formulas are inconsistent:
% 244.16/48.34  ----------------------------------------------------------------
% 244.16/48.34    (1)  all_24_23 = e20
% 244.16/48.34    (2)   ~ (e24 = e20)
% 244.16/48.34    (3)   ~ (e23 = e21)
% 244.16/48.34    (4)  op2(e23, e21) = e24
% 244.16/48.34    (5)   ~ (all_16_1 = e21)
% 244.16/48.34    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.34           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.34           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.34    (7)  op2(e23, e23) = e21
% 244.16/48.34    (8)  all_24_2 = e22
% 244.16/48.34    (9)   ~ (e23 = e22)
% 244.16/48.34    (10)   ~ (e22 = e20)
% 244.16/48.34    (11)  all_24_15 = e20
% 244.16/48.34    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.34            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.34    (13)   ~ (e23 = e20)
% 244.16/48.35    (14)  all_24_9 = e23
% 244.16/48.35    (15)   ~ (e24 = e21)
% 244.16/48.35    (16)   ~ (e22 = e21)
% 244.16/48.35    (17)   ~ (all_16_1 = e20)
% 244.16/48.35    (18)  all_24_11 = e21
% 244.16/48.35    (19)  op2(e23, e22) = e20
% 244.16/48.35    (20)   ~ (all_16_1 = e23)
% 244.16/48.35    (21)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.35              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.16/48.35            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.16/48.35    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.35            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.35            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.35    (23)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.35    (24)   ~ (e21 = e20)
% 244.16/48.35    (25)   ~ (e24 = e22)
% 244.16/48.35    (26)  all_24_17 = e23
% 244.16/48.35    (27)  op2(e23, e24) = all_16_1
% 244.16/48.35    (28)   ~ (e24 = e23)
% 244.16/48.35    (29)  op2(e23, e21) = all_10_1
% 244.16/48.35    (30)  all_20_5 = all_16_1
% 244.16/48.35    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.35            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.35            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.35    (32)  all_24_5 = e20
% 244.16/48.35    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.35            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.35            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.35  
% 244.16/48.35  Begin of proof
% 244.16/48.35  | 
% 244.16/48.35  | BETA: splitting (21) gives:
% 244.16/48.35  | 
% 244.16/48.35  | Case 1:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (34)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.35  | |             e21) = e22)
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (3), (4), (5), (7), (9), (12), (13), (14), (17), (19), (20),
% 244.16/48.35  | |            (23), (25), (26), (27), (28), (29), (30), (33), (34) are
% 244.16/48.35  | |            inconsistent by sub-proof #371.
% 244.16/48.35  | | 
% 244.16/48.35  | Case 2:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (35)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22 &
% 244.16/48.35  | |           op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.16/48.35  | | 
% 244.16/48.35  | | BETA: splitting (35) gives:
% 244.16/48.35  | | 
% 244.16/48.35  | | Case 1:
% 244.16/48.35  | | | 
% 244.16/48.35  | | |   (36)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.16/48.35  | | | 
% 244.16/48.35  | | | ALPHA: (36) implies:
% 244.16/48.35  | | |   (37)  all_24_11 = e22
% 244.16/48.35  | | | 
% 244.16/48.35  | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (12), (13), (15), (16),
% 244.16/48.35  | | |            (18), (19), (22), (25), (28), (29), (31), (32), (33), (37) are
% 244.16/48.35  | | |            inconsistent by sub-proof #792.
% 244.16/48.35  | | | 
% 244.16/48.35  | | Case 2:
% 244.16/48.35  | | | 
% 244.16/48.35  | | |   (38)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 244.16/48.35  | | |           op2(e20, e21) = e22)
% 244.16/48.35  | | | 
% 244.16/48.35  | | | BETA: splitting (38) gives:
% 244.16/48.35  | | | 
% 244.16/48.35  | | | Case 1:
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | |   (39)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | | ALPHA: (39) implies:
% 244.16/48.35  | | | |   (40)  all_24_15 = e22
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.16/48.35  | | | |            (15), (16), (19), (22), (24), (25), (28), (29), (31), (33),
% 244.16/48.35  | | | |            (40) are inconsistent by sub-proof #785.
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | Case 2:
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | |   (41)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13),
% 244.16/48.35  | | | |            (15), (16), (19), (22), (24), (25), (28), (29), (31), (33),
% 244.16/48.35  | | | |            (41) are inconsistent by sub-proof #370.
% 244.16/48.35  | | | | 
% 244.16/48.35  | | | End of split
% 244.16/48.35  | | | 
% 244.16/48.35  | | End of split
% 244.16/48.35  | | 
% 244.16/48.35  | End of split
% 244.16/48.35  | 
% 244.16/48.35  End of proof
% 244.16/48.35  
% 244.16/48.35  Sub-proof #370 shows that the following formulas are inconsistent:
% 244.16/48.35  ----------------------------------------------------------------
% 244.16/48.35    (1)  all_24_23 = e20
% 244.16/48.35    (2)   ~ (e24 = e20)
% 244.16/48.35    (3)   ~ (e23 = e21)
% 244.16/48.35    (4)  op2(e23, e21) = e24
% 244.16/48.35    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.35           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.35           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.35    (6)  op2(e23, e23) = e21
% 244.16/48.35    (7)  all_24_2 = e22
% 244.16/48.35    (8)   ~ (e23 = e22)
% 244.16/48.35    (9)   ~ (e22 = e20)
% 244.16/48.35    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.35            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.35    (11)   ~ (e23 = e20)
% 244.16/48.35    (12)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.16/48.35    (13)   ~ (e24 = e21)
% 244.16/48.35    (14)   ~ (e22 = e21)
% 244.16/48.35    (15)  op2(e23, e22) = e20
% 244.16/48.35    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.35            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.35            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.35    (17)   ~ (e21 = e20)
% 244.16/48.35    (18)   ~ (e24 = e22)
% 244.16/48.35    (19)   ~ (e24 = e23)
% 244.16/48.35    (20)  op2(e23, e21) = all_10_1
% 244.16/48.35    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.35            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.35            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.35    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.35            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.35            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.35  
% 244.16/48.35  Begin of proof
% 244.16/48.35  | 
% 244.16/48.35  | ALPHA: (12) implies:
% 244.16/48.35  |   (23)  all_24_23 = e22
% 244.16/48.35  | 
% 244.16/48.35  | COMBINE_EQS: (1), (23) imply:
% 244.16/48.35  |   (24)  e22 = e20
% 244.16/48.35  | 
% 244.16/48.35  | COMBINE_EQS: (7), (24) imply:
% 244.16/48.35  |   (25)  all_24_2 = e20
% 244.16/48.35  | 
% 244.16/48.35  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15),
% 244.16/48.35  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 244.16/48.35  |            sub-proof #1307.
% 244.16/48.35  | 
% 244.16/48.35  End of proof
% 244.16/48.35  
% 244.16/48.35  Sub-proof #371 shows that the following formulas are inconsistent:
% 244.16/48.35  ----------------------------------------------------------------
% 244.16/48.35    (1)   ~ (e23 = e21)
% 244.16/48.35    (2)  op2(e23, e21) = e24
% 244.16/48.35    (3)   ~ (all_16_1 = e21)
% 244.16/48.35    (4)  op2(e23, e23) = e21
% 244.16/48.35    (5)   ~ (e23 = e22)
% 244.16/48.35    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.35           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.35    (7)   ~ (e23 = e20)
% 244.16/48.35    (8)  all_24_9 = e23
% 244.16/48.35    (9)   ~ (all_16_1 = e20)
% 244.16/48.35    (10)  op2(e23, e22) = e20
% 244.16/48.35    (11)   ~ (all_16_1 = e23)
% 244.16/48.35    (12)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.35              e21) = e22)
% 244.16/48.35    (13)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.35    (14)   ~ (e24 = e22)
% 244.16/48.35    (15)  all_24_17 = e23
% 244.16/48.35    (16)  op2(e23, e24) = all_16_1
% 244.16/48.35    (17)   ~ (e24 = e23)
% 244.16/48.35    (18)  op2(e23, e21) = all_10_1
% 244.16/48.35    (19)  all_20_5 = all_16_1
% 244.16/48.35    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.35            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.35            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.35  
% 244.16/48.35  Begin of proof
% 244.16/48.35  | 
% 244.16/48.35  | BETA: splitting (12) gives:
% 244.16/48.35  | 
% 244.16/48.35  | Case 1:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (21)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | ALPHA: (21) implies:
% 244.16/48.35  | |   (22)  all_24_9 = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | COMBINE_EQS: (8), (22) imply:
% 244.16/48.35  | |   (23)  e23 = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | COMBINE_EQS: (15), (23) imply:
% 244.16/48.35  | |   (24)  all_24_17 = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (16),
% 244.16/48.35  | |            (17), (18), (19), (20), (24) are inconsistent by sub-proof #855.
% 244.16/48.35  | | 
% 244.16/48.35  | Case 2:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (25)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | ALPHA: (25) implies:
% 244.16/48.35  | |   (26)  op2(e23, e21) = e22
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (2), (6), (14), (18), (26) are inconsistent by sub-proof #963.
% 244.16/48.35  | | 
% 244.16/48.35  | End of split
% 244.16/48.35  | 
% 244.16/48.35  End of proof
% 244.16/48.35  
% 244.16/48.35  Sub-proof #372 shows that the following formulas are inconsistent:
% 244.16/48.35  ----------------------------------------------------------------
% 244.16/48.35    (1)   ~ (e24 = e20)
% 244.16/48.35    (2)   ~ (e23 = e21)
% 244.16/48.35    (3)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.16/48.35             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.16/48.35           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.16/48.35    (4)  op2(e23, e23) = e21
% 244.16/48.35    (5)   ~ (e23 = e22)
% 244.16/48.35    (6)  op2(e21, e23) = all_16_8
% 244.16/48.35    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.35           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.35    (8)   ~ (all_16_7 = e23)
% 244.16/48.35    (9)  op2(e24, e23) = e22
% 244.16/48.35    (10)   ~ (e24 = e21)
% 244.16/48.35    (11)  all_24_24 = e21
% 244.16/48.35    (12)   ~ (all_16_8 = e23)
% 244.16/48.35    (13)  op2(e22, e23) = all_16_7
% 244.16/48.35    (14)   ~ (all_16_19 = e24)
% 244.16/48.35    (15)   ~ (e24 = e22)
% 244.16/48.35    (16)   ~ (e24 = e23)
% 244.16/48.35    (17)  all_24_20 = e20
% 244.16/48.35    (18)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.35            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.16/48.35            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.16/48.35    (19)  op2(e20, e21) = all_16_19
% 244.16/48.35    (20)  all_24_22 = e22
% 244.16/48.35  
% 244.16/48.35  Begin of proof
% 244.16/48.35  | 
% 244.16/48.35  | BETA: splitting (3) gives:
% 244.16/48.35  | 
% 244.16/48.35  | Case 1:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (21)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 244.16/48.35  | |           op2(e20, e23) = e24)
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (13), (16), (17),
% 244.16/48.35  | |            (18), (21) are inconsistent by sub-proof #571.
% 244.16/48.35  | | 
% 244.16/48.35  | Case 2:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (22)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 244.16/48.35  | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.16/48.35  | | 
% 244.16/48.35  | | BETA: splitting (22) gives:
% 244.16/48.35  | | 
% 244.16/48.35  | | Case 1:
% 244.16/48.35  | | | 
% 244.16/48.35  | | |   (23)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.16/48.35  | | | 
% 244.16/48.35  | | | ALPHA: (23) implies:
% 244.16/48.35  | | |   (24)  all_24_22 = e24
% 244.16/48.35  | | | 
% 244.16/48.35  | | | REF_CLOSE: (15), (20), (24) are inconsistent by sub-proof #840.
% 244.16/48.35  | | | 
% 244.16/48.35  | | Case 2:
% 244.16/48.35  | | | 
% 244.16/48.35  | | |   (25)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 244.16/48.35  | | |           op2(e20, e20) = e24)
% 244.16/48.35  | | | 
% 244.16/48.35  | | | REF_CLOSE: (7), (10), (11), (14), (19), (25) are inconsistent by sub-proof
% 244.16/48.35  | | |            #373.
% 244.16/48.35  | | | 
% 244.16/48.35  | | End of split
% 244.16/48.35  | | 
% 244.16/48.35  | End of split
% 244.16/48.35  | 
% 244.16/48.35  End of proof
% 244.16/48.35  
% 244.16/48.35  Sub-proof #373 shows that the following formulas are inconsistent:
% 244.16/48.35  ----------------------------------------------------------------
% 244.16/48.35    (1)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 244.16/48.35             e20) = e24)
% 244.16/48.35    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.35           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.35    (3)   ~ (e24 = e21)
% 244.16/48.35    (4)  all_24_24 = e21
% 244.16/48.35    (5)   ~ (all_16_19 = e24)
% 244.16/48.35    (6)  op2(e20, e21) = all_16_19
% 244.16/48.35  
% 244.16/48.35  Begin of proof
% 244.16/48.35  | 
% 244.16/48.35  | BETA: splitting (1) gives:
% 244.16/48.35  | 
% 244.16/48.35  | Case 1:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (7)  all_24_23 = e24 & op2(e20, e21) = e24
% 244.16/48.35  | | 
% 244.16/48.35  | | ALPHA: (7) implies:
% 244.16/48.35  | |   (8)  op2(e20, e21) = e24
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #769.
% 244.16/48.35  | | 
% 244.16/48.35  | Case 2:
% 244.16/48.35  | | 
% 244.16/48.35  | |   (9)  all_24_24 = e24 & op2(e20, e20) = e24
% 244.16/48.35  | | 
% 244.16/48.35  | | ALPHA: (9) implies:
% 244.16/48.35  | |   (10)  all_24_24 = e24
% 244.16/48.35  | | 
% 244.16/48.35  | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #636.
% 244.16/48.35  | | 
% 244.16/48.35  | End of split
% 244.16/48.35  | 
% 244.16/48.35  End of proof
% 244.16/48.35  
% 244.16/48.35  Sub-proof #374 shows that the following formulas are inconsistent:
% 244.16/48.35  ----------------------------------------------------------------
% 244.16/48.35    (1)  op2(e24, e22) = all_16_10
% 244.16/48.35    (2)   ~ (all_16_10 = e20)
% 244.16/48.35    (3)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.16/48.35           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.16/48.35           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.16/48.35    (4)   ~ (all_16_15 = e24)
% 244.16/48.35    (5)  op2(e23, unit2) = e23
% 244.16/48.35    (6)  all_24_8 = e24
% 244.16/48.35    (7)   ~ (e24 = e20)
% 244.16/48.35    (8)   ~ (e23 = e21)
% 244.16/48.35    (9)  all_24_6 = e23
% 244.16/48.35    (10)  op2(e23, e21) = e24
% 244.16/48.35    (11)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.35            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.35            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.35    (12)  op2(e23, e23) = e21
% 244.16/48.35    (13)  all_24_2 = e22
% 244.16/48.35    (14)   ~ (e23 = e22)
% 244.16/48.35    (15)   ~ (e22 = e20)
% 244.16/48.35    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.35            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.35    (17)  op2(e23, e24) = e22
% 244.16/48.35    (18)   ~ (e23 = e20)
% 244.16/48.35    (19)  all_24_9 = e23
% 244.16/48.35    (20)  all_24_4 = e21
% 244.16/48.35    (21)  op2(e24, e23) = e22
% 244.16/48.35    (22)   ~ (e24 = e21)
% 244.16/48.35    (23)   ~ (e22 = e21)
% 244.16/48.36    (24)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.16/48.36            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.16/48.36            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.16/48.36    (25)   ~ (all_16_17 = e24)
% 244.16/48.36    (26)  all_24_11 = e21
% 244.16/48.36    (27)  op2(e24, unit2) = e24
% 244.16/48.36    (28)  op2(e23, e22) = e20
% 244.16/48.36    (29)  all_24_1 = e22
% 244.16/48.36    (30)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.16/48.36            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.16/48.36            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.16/48.36    (31)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.16/48.36    (32)  op2(e22, e21) = all_16_17
% 244.16/48.36    (33)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.36            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.36            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.36    (34)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.16/48.36            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.16/48.36            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.16/48.36    (35)   ~ (e21 = e20)
% 244.16/48.36    (36)  op2(e24, e21) = all_16_15
% 244.16/48.36    (37)   ~ (e24 = e22)
% 244.16/48.36    (38)  all_24_17 = e23
% 244.16/48.36    (39)   ~ (e24 = e23)
% 244.16/48.36    (40)  all_24_18 = e22
% 244.16/48.36    (41)  op2(e23, e21) = all_10_1
% 244.16/48.36    (42)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.36            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.36            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.36    (43)  all_24_16 = e21
% 244.16/48.36    (44)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.36            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.36            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.36  
% 244.16/48.36  Begin of proof
% 244.16/48.36  | 
% 244.16/48.36  | BETA: splitting (30) gives:
% 244.16/48.36  | 
% 244.16/48.36  | Case 1:
% 244.16/48.36  | | 
% 244.16/48.36  | |   (45)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.16/48.36  | |             e23) = e24)
% 244.16/48.36  | | 
% 244.16/48.36  | | BETA: splitting (45) gives:
% 244.16/48.36  | | 
% 244.16/48.36  | | Case 1:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (46)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | ALPHA: (46) implies:
% 244.16/48.36  | | |   (47)  all_24_0 = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | REF_CLOSE: (1), (2), (5), (7), (8), (10), (11), (12), (13), (14), (15),
% 244.16/48.36  | | |            (16), (17), (18), (19), (21), (22), (23), (24), (27), (28),
% 244.16/48.36  | | |            (31), (35), (37), (38), (39), (41), (42), (44), (47) are
% 244.16/48.36  | | |            inconsistent by sub-proof #697.
% 244.16/48.36  | | | 
% 244.16/48.36  | | Case 2:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (48)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | ALPHA: (48) implies:
% 244.16/48.36  | | |   (49)  all_24_1 = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | COMBINE_EQS: (29), (49) imply:
% 244.16/48.36  | | |   (50)  e24 = e22
% 244.16/48.36  | | | 
% 244.16/48.36  | | | SIMP: (50) implies:
% 244.16/48.36  | | |   (51)  e24 = e22
% 244.16/48.36  | | | 
% 244.16/48.36  | | | COMBINE_EQS: (6), (51) imply:
% 244.16/48.36  | | |   (52)  all_24_8 = e22
% 244.16/48.36  | | | 
% 244.16/48.36  | | | REF_CLOSE: (3), (7), (8), (9), (10), (11), (12), (13), (14), (15), (16),
% 244.16/48.36  | | |            (18), (22), (23), (25), (26), (28), (32), (33), (34), (35),
% 244.16/48.36  | | |            (37), (38), (39), (40), (41), (42), (44), (52) are inconsistent
% 244.16/48.36  | | |            by sub-proof #375.
% 244.16/48.36  | | | 
% 244.16/48.36  | | End of split
% 244.16/48.36  | | 
% 244.16/48.36  | Case 2:
% 244.16/48.36  | | 
% 244.16/48.36  | |   (53)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.16/48.36  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.16/48.36  | | 
% 244.16/48.36  | | BETA: splitting (53) gives:
% 244.16/48.36  | | 
% 244.16/48.36  | | Case 1:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (54)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | ALPHA: (54) implies:
% 244.16/48.36  | | |   (55)  all_24_4 = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | REF_CLOSE: (20), (22), (55) are inconsistent by sub-proof #852.
% 244.16/48.36  | | | 
% 244.16/48.36  | | Case 2:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (56)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.16/48.36  | | |           op2(e24, e20) = e24)
% 244.16/48.36  | | | 
% 244.16/48.36  | | | BETA: splitting (56) gives:
% 244.16/48.36  | | | 
% 244.16/48.36  | | | Case 1:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (57)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | REF_CLOSE: (4), (16), (36), (57) are inconsistent by sub-proof #862.
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | Case 2:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (58)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | REF_CLOSE: (22), (43), (58) are inconsistent by sub-proof #687.
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | End of split
% 244.16/48.36  | | | 
% 244.16/48.36  | | End of split
% 244.16/48.36  | | 
% 244.16/48.36  | End of split
% 244.16/48.36  | 
% 244.16/48.36  End of proof
% 244.16/48.36  
% 244.16/48.36  Sub-proof #375 shows that the following formulas are inconsistent:
% 244.16/48.36  ----------------------------------------------------------------
% 244.16/48.36    (1)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.16/48.36           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.16/48.36           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.16/48.36    (2)   ~ (e24 = e20)
% 244.16/48.36    (3)   ~ (e23 = e21)
% 244.16/48.36    (4)  all_24_6 = e23
% 244.16/48.36    (5)  op2(e23, e21) = e24
% 244.16/48.36    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.36           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.36           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.36    (7)  op2(e23, e23) = e21
% 244.16/48.36    (8)  all_24_2 = e22
% 244.16/48.36    (9)   ~ (e23 = e22)
% 244.16/48.36    (10)   ~ (e22 = e20)
% 244.16/48.36    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.36            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.36    (12)   ~ (e23 = e20)
% 244.16/48.36    (13)   ~ (e24 = e21)
% 244.16/48.36    (14)   ~ (e22 = e21)
% 244.16/48.36    (15)   ~ (all_16_17 = e24)
% 244.16/48.36    (16)  all_24_11 = e21
% 244.16/48.36    (17)  all_24_8 = e22
% 244.16/48.36    (18)  op2(e23, e22) = e20
% 244.16/48.36    (19)  op2(e22, e21) = all_16_17
% 244.16/48.36    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.36            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.36            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.36    (21)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.16/48.36            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.16/48.36            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.16/48.36    (22)   ~ (e21 = e20)
% 244.16/48.36    (23)   ~ (e24 = e22)
% 244.16/48.36    (24)  all_24_17 = e23
% 244.16/48.36    (25)   ~ (e24 = e23)
% 244.16/48.36    (26)  all_24_18 = e22
% 244.16/48.36    (27)  op2(e23, e21) = all_10_1
% 244.16/48.36    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.36            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.36            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.36    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.36            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.36            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.36  
% 244.16/48.36  Begin of proof
% 244.16/48.36  | 
% 244.16/48.36  | BETA: splitting (21) gives:
% 244.16/48.36  | 
% 244.16/48.36  | Case 1:
% 244.16/48.36  | | 
% 244.16/48.36  | |   (30)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 244.16/48.36  | |             e23) = e24)
% 244.16/48.36  | | 
% 244.16/48.36  | | BETA: splitting (30) gives:
% 244.16/48.36  | | 
% 244.16/48.36  | | Case 1:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (31)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | REF_CLOSE: (4), (25), (31) are inconsistent by sub-proof #560.
% 244.16/48.36  | | | 
% 244.16/48.36  | | Case 2:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (32)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | ALPHA: (32) implies:
% 244.16/48.36  | | |   (33)  all_24_7 = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | BETA: splitting (1) gives:
% 244.16/48.36  | | | 
% 244.16/48.36  | | | Case 1:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (34)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 &
% 244.16/48.36  | | | |           op2(e22, e23) = e20)
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | BETA: splitting (34) gives:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | Case 1:
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | |   (35)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | ALPHA: (35) implies:
% 244.16/48.36  | | | | |   (36)  all_24_6 = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | COMBINE_EQS: (4), (36) imply:
% 244.16/48.36  | | | | |   (37)  e23 = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 244.16/48.36  | | | | |            (18), (22), (23), (24), (25), (27), (28), (29), (37) are
% 244.16/48.36  | | | | |            inconsistent by sub-proof #833.
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | Case 2:
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | |   (38)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | ALPHA: (38) implies:
% 244.16/48.36  | | | | |   (39)  all_24_7 = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | REF_CLOSE: (2), (33), (39) are inconsistent by sub-proof #869.
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | End of split
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | Case 2:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (40)  (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.16/48.36  | | | |           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | BETA: splitting (40) gives:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | Case 1:
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | |   (41)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.16/48.36  | | | | |            (14), (17), (18), (20), (22), (23), (25), (27), (28), (29),
% 244.16/48.36  | | | | |            (41) are inconsistent by sub-proof #538.
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | Case 2:
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | |   (42)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_18 = e20 &
% 244.16/48.36  | | | | |           op2(e22, e20) = e20)
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | BETA: splitting (42) gives:
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | | Case 1:
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | |   (43)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | | ALPHA: (43) implies:
% 244.16/48.36  | | | | | |   (44)  all_24_11 = e20
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | | REF_CLOSE: (16), (22), (44) are inconsistent by sub-proof #788.
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | Case 2:
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | |   (45)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.16/48.36  | | | | | |            (13), (14), (18), (20), (22), (23), (25), (26), (27),
% 244.16/48.36  | | | | | |            (28), (29), (45) are inconsistent by sub-proof #376.
% 244.16/48.36  | | | | | | 
% 244.16/48.36  | | | | | End of split
% 244.16/48.36  | | | | | 
% 244.16/48.36  | | | | End of split
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | End of split
% 244.16/48.36  | | | 
% 244.16/48.36  | | End of split
% 244.16/48.36  | | 
% 244.16/48.36  | Case 2:
% 244.16/48.36  | | 
% 244.16/48.36  | |   (46)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 & op2(e22,
% 244.16/48.36  | |             e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.16/48.36  | | 
% 244.16/48.36  | | BETA: splitting (46) gives:
% 244.16/48.36  | | 
% 244.16/48.36  | | Case 1:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (47)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.16/48.36  | | | 
% 244.16/48.36  | | | REF_CLOSE: (17), (23), (47) are inconsistent by sub-proof #491.
% 244.16/48.36  | | | 
% 244.16/48.36  | | Case 2:
% 244.16/48.36  | | | 
% 244.16/48.36  | | |   (48)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 = e24 &
% 244.16/48.36  | | |           op2(e22, e20) = e24)
% 244.16/48.36  | | | 
% 244.16/48.36  | | | BETA: splitting (48) gives:
% 244.16/48.36  | | | 
% 244.16/48.36  | | | Case 1:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (49)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | REF_CLOSE: (11), (15), (19), (49) are inconsistent by sub-proof #829.
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | Case 2:
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | |   (50)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | | REF_CLOSE: (23), (26), (50) are inconsistent by sub-proof #802.
% 244.16/48.36  | | | | 
% 244.16/48.36  | | | End of split
% 244.16/48.36  | | | 
% 244.16/48.36  | | End of split
% 244.16/48.36  | | 
% 244.16/48.36  | End of split
% 244.16/48.36  | 
% 244.16/48.36  End of proof
% 244.16/48.36  
% 244.16/48.36  Sub-proof #376 shows that the following formulas are inconsistent:
% 244.16/48.36  ----------------------------------------------------------------
% 244.16/48.36    (1)   ~ (e24 = e20)
% 244.16/48.36    (2)   ~ (e23 = e21)
% 244.16/48.36    (3)  op2(e23, e21) = e24
% 244.16/48.36    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.36           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.36           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.36    (5)  op2(e23, e23) = e21
% 244.16/48.36    (6)  all_24_2 = e22
% 244.16/48.36    (7)   ~ (e23 = e22)
% 244.16/48.36    (8)   ~ (e22 = e20)
% 244.16/48.36    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.36           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.36    (10)   ~ (e23 = e20)
% 244.16/48.36    (11)   ~ (e24 = e21)
% 244.16/48.36    (12)   ~ (e22 = e21)
% 244.16/48.36    (13)  op2(e23, e22) = e20
% 244.16/48.36    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.16/48.36            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.16/48.36            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.16/48.36    (15)   ~ (e21 = e20)
% 244.16/48.36    (16)   ~ (e24 = e22)
% 244.16/48.36    (17)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.16/48.36    (18)   ~ (e24 = e23)
% 244.16/48.36    (19)  all_24_18 = e22
% 244.16/48.36    (20)  op2(e23, e21) = all_10_1
% 244.16/48.36    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.36            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.36            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.36    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.36            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.36            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.36  
% 244.16/48.36  Begin of proof
% 244.16/48.36  | 
% 244.16/48.36  | ALPHA: (17) implies:
% 244.16/48.36  |   (23)  all_24_18 = e20
% 244.16/48.36  | 
% 244.16/48.36  | COMBINE_EQS: (19), (23) imply:
% 244.16/48.36  |   (24)  e22 = e20
% 244.16/48.36  | 
% 244.16/48.36  | SIMP: (24) implies:
% 244.16/48.36  |   (25)  e22 = e20
% 244.16/48.36  | 
% 244.16/48.36  | COMBINE_EQS: (6), (25) imply:
% 244.16/48.36  |   (26)  all_24_2 = e20
% 244.16/48.36  | 
% 244.16/48.36  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 244.16/48.36  |            (14), (15), (16), (18), (20), (21), (22), (26) are inconsistent by
% 244.16/48.36  |            sub-proof #1307.
% 244.16/48.36  | 
% 244.16/48.36  End of proof
% 244.16/48.36  
% 244.16/48.36  Sub-proof #377 shows that the following formulas are inconsistent:
% 244.16/48.36  ----------------------------------------------------------------
% 244.16/48.36    (1)   ~ (e24 = e20)
% 244.16/48.36    (2)   ~ (e23 = e21)
% 244.16/48.36    (3)  op2(e23, e21) = e24
% 244.16/48.36    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.36           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.36           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.36    (5)  op2(e23, e23) = e21
% 244.16/48.36    (6)  all_24_2 = e22
% 244.16/48.36    (7)   ~ (e23 = e22)
% 244.16/48.36    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.36           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.36    (9)   ~ (e23 = e20)
% 244.16/48.37    (10)  all_24_9 = e23
% 244.16/48.37    (11)   ~ (e24 = e21)
% 244.16/48.37    (12)   ~ (e22 = e21)
% 244.16/48.37    (13)  op2(e23, e22) = e20
% 244.16/48.37    (14)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.16/48.37              e21) = e20)
% 244.16/48.37    (15)   ~ (e21 = e20)
% 244.16/48.37    (16)   ~ (e24 = e22)
% 244.16/48.37    (17)  all_24_17 = e23
% 244.16/48.37    (18)   ~ (e24 = e23)
% 244.16/48.37    (19)  op2(e23, e21) = all_10_1
% 244.16/48.37    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.16/48.37            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.16/48.37            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.16/48.37    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.37            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.37            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.37  
% 244.16/48.37  Begin of proof
% 244.16/48.37  | 
% 244.16/48.37  | BETA: splitting (14) gives:
% 244.16/48.37  | 
% 244.16/48.37  | Case 1:
% 244.16/48.37  | | 
% 244.16/48.37  | |   (22)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.16/48.37  | | 
% 244.16/48.37  | | ALPHA: (22) implies:
% 244.16/48.37  | |   (23)  all_24_9 = e20
% 244.16/48.37  | | 
% 244.16/48.37  | | COMBINE_EQS: (10), (23) imply:
% 244.16/48.37  | |   (24)  e23 = e20
% 244.16/48.37  | | 
% 244.16/48.37  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 244.16/48.37  | |            (15), (16), (17), (18), (19), (20), (21), (24) are inconsistent
% 244.16/48.37  | |            by sub-proof #833.
% 244.16/48.37  | | 
% 244.16/48.37  | Case 2:
% 244.16/48.37  | | 
% 244.16/48.37  | |   (25)  all_24_10 = e20 & op2(e23, e21) = e20
% 244.16/48.37  | | 
% 244.16/48.37  | | REF_CLOSE: (1), (3), (8), (19), (25) are inconsistent by sub-proof #591.
% 244.16/48.37  | | 
% 244.16/48.37  | End of split
% 244.16/48.37  | 
% 244.16/48.37  End of proof
% 244.16/48.37  
% 244.16/48.37  Sub-proof #378 shows that the following formulas are inconsistent:
% 244.16/48.37  ----------------------------------------------------------------
% 244.16/48.37    (1)   ~ (e23 = e21)
% 244.16/48.37    (2)  op2(e23, e21) = e24
% 244.16/48.37    (3)   ~ (all_16_1 = e21)
% 244.16/48.37    (4)  op2(e23, e23) = e21
% 244.16/48.37    (5)   ~ (e23 = e22)
% 244.16/48.37    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.16/48.37           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.16/48.37    (7)   ~ (e23 = e20)
% 244.16/48.37    (8)  all_24_9 = e23
% 244.16/48.37    (9)   ~ (all_16_1 = e20)
% 244.16/48.37    (10)  op2(e23, e22) = e20
% 244.16/48.37    (11)   ~ (all_16_1 = e23)
% 244.16/48.37    (12)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.16/48.37              e21) = e22)
% 244.16/48.37    (13)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.16/48.37    (14)   ~ (e24 = e22)
% 244.16/48.37    (15)  all_24_17 = e23
% 244.16/48.37    (16)  op2(e23, e24) = all_16_1
% 244.16/48.37    (17)   ~ (e24 = e23)
% 244.16/48.37    (18)  op2(e23, e21) = all_10_1
% 244.16/48.37    (19)  all_20_5 = all_16_1
% 244.16/48.37    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.16/48.37            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.16/48.37            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.16/48.37  
% 244.16/48.37  Begin of proof
% 244.16/48.37  | 
% 244.16/48.37  | BETA: splitting (12) gives:
% 244.16/48.37  | 
% 244.16/48.37  | Case 1:
% 244.16/48.37  | | 
% 244.16/48.37  | |   (21)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.16/48.37  | | 
% 244.16/48.37  | | ALPHA: (21) implies:
% 244.16/48.37  | |   (22)  all_24_9 = e22
% 244.16/48.37  | | 
% 244.16/48.37  | | COMBINE_EQS: (8), (22) imply:
% 244.16/48.37  | |   (23)  e23 = e22
% 244.16/48.37  | | 
% 244.16/48.37  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (15),
% 244.16/48.37  | |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 244.16/48.37  | |            #810.
% 244.16/48.37  | | 
% 244.16/48.37  | Case 2:
% 244.16/48.37  | | 
% 244.16/48.37  | |   (24)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.16/48.37  | | 
% 244.16/48.37  | | ALPHA: (24) implies:
% 244.16/48.37  | |   (25)  op2(e23, e21) = e22
% 244.16/48.37  | | 
% 244.16/48.37  | | REF_CLOSE: (2), (6), (14), (18), (25) are inconsistent by sub-proof #963.
% 244.16/48.37  | | 
% 244.16/48.37  | End of split
% 244.16/48.37  | 
% 244.16/48.37  End of proof
% 244.16/48.37  
% 244.16/48.37  Sub-proof #379 shows that the following formulas are inconsistent:
% 244.16/48.37  ----------------------------------------------------------------
% 244.16/48.37    (1)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.16/48.37    (2)  all_24_8 = e24
% 244.16/48.37    (3)   ~ (e24 = e22)
% 244.16/48.37  
% 244.16/48.37  Begin of proof
% 244.16/48.37  | 
% 244.16/48.37  | ALPHA: (1) implies:
% 244.16/48.37  |   (4)  all_24_8 = e22
% 244.16/48.37  | 
% 244.16/48.37  | COMBINE_EQS: (2), (4) imply:
% 244.16/48.37  |   (5)  e24 = e22
% 244.16/48.37  | 
% 244.16/48.37  | REDUCE: (3), (5) imply:
% 244.16/48.37  |   (6)  $false
% 244.16/48.37  | 
% 244.16/48.37  | CLOSE: (6) is inconsistent.
% 244.16/48.37  | 
% 244.16/48.37  End of proof
% 244.16/48.37  
% 244.16/48.37  Sub-proof #380 shows that the following formulas are inconsistent:
% 244.16/48.37  ----------------------------------------------------------------
% 244.16/48.37    (1)   ~ (e24 = e20)
% 244.16/48.37    (2)   ~ (e23 = e21)
% 244.16/48.37    (3)  all_24_6 = e23
% 244.16/48.37    (4)  op2(e23, e21) = e24
% 244.16/48.37    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.16/48.37           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.16/48.37           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.16/48.37    (6)  op2(e23, e23) = e21
% 244.26/48.37    (7)  all_24_2 = e22
% 244.26/48.37    (8)   ~ (e23 = e22)
% 244.26/48.37    (9)   ~ (e22 = e20)
% 244.26/48.37    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.37            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.26/48.37    (11)  all_24_21 = e23
% 244.26/48.37    (12)   ~ (e23 = e20)
% 244.26/48.37    (13)  op2(e24, e23) = e22
% 244.26/48.37    (14)   ~ (e24 = e21)
% 244.26/48.37    (15)   ~ (e22 = e21)
% 244.26/48.37    (16)  op2(e23, e22) = e20
% 244.26/48.37    (17)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.26/48.37            = e24)
% 244.26/48.37    (18)  all_24_13 = e24
% 244.26/48.37    (19)  all_24_1 = e22
% 244.26/48.37    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.26/48.37            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.26/48.37            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.26/48.37    (21)   ~ (e21 = e20)
% 244.26/48.37    (22)   ~ (e24 = e22)
% 244.26/48.37    (23)  all_24_17 = e23
% 244.26/48.37    (24)   ~ (e24 = e23)
% 244.26/48.37    (25)  op2(e23, e21) = all_10_1
% 244.26/48.37    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.26/48.37            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.26/48.37            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.26/48.37    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.26/48.37            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.26/48.37            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.26/48.37    (28)  all_24_3 = e21
% 244.26/48.37    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.26/48.37            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.26/48.37            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.26/48.37  
% 244.26/48.37  Begin of proof
% 244.26/48.37  | 
% 244.26/48.37  | BETA: splitting (17) gives:
% 244.26/48.37  | 
% 244.26/48.37  | Case 1:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (30)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.26/48.37  | |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 244.26/48.37  | |            (25), (26), (27), (28), (29), (30) are inconsistent by sub-proof
% 244.26/48.37  | |            #695.
% 244.26/48.37  | | 
% 244.26/48.37  | Case 2:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (31)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.26/48.37  | | 
% 244.26/48.37  | | ALPHA: (31) implies:
% 244.26/48.37  | |   (32)  all_24_7 = e24
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.26/48.37  | |            (14), (15), (16), (18), (21), (22), (23), (24), (25), (26), (27),
% 244.26/48.37  | |            (29), (32) are inconsistent by sub-proof #831.
% 244.26/48.37  | | 
% 244.26/48.37  | End of split
% 244.26/48.37  | 
% 244.26/48.37  End of proof
% 244.26/48.37  
% 244.26/48.37  Sub-proof #381 shows that the following formulas are inconsistent:
% 244.26/48.37  ----------------------------------------------------------------
% 244.26/48.37    (1)  op2(e23, unit2) = e23
% 244.26/48.37    (2)  op2(e23, e21) = e24
% 244.26/48.37    (3)   ~ (e23 = e22)
% 244.26/48.37    (4)   ~ (all_16_9 = e23)
% 244.26/48.37    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.37           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.26/48.37    (6)  op2(e23, e24) = e22
% 244.26/48.37    (7)   ~ (e23 = e20)
% 244.26/48.37    (8)  op2(e23, e22) = e20
% 244.26/48.37    (9)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.26/48.37    (10)  op2(e20, e23) = all_16_9
% 244.26/48.37    (11)   ~ (e24 = e23)
% 244.26/48.37    (12)  op2(e23, e21) = all_10_1
% 244.26/48.37    (13)  op2(unit2, e23) = e23
% 244.26/48.37  
% 244.26/48.37  Begin of proof
% 244.26/48.37  | 
% 244.26/48.37  | BETA: splitting (9) gives:
% 244.26/48.37  | 
% 244.26/48.37  | Case 1:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (14)  unit2 = e24
% 244.26/48.37  | | 
% 244.26/48.37  | | REDUCE: (1), (14) imply:
% 244.26/48.37  | |   (15)  op2(e23, e24) = e23
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (3), (5), (6), (15) are inconsistent by sub-proof #965.
% 244.26/48.37  | | 
% 244.26/48.37  | Case 2:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (16)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (11), (12), (13), (16) are
% 244.26/48.37  | |            inconsistent by sub-proof #483.
% 244.26/48.37  | | 
% 244.26/48.37  | End of split
% 244.26/48.37  | 
% 244.26/48.37  End of proof
% 244.26/48.37  
% 244.26/48.37  Sub-proof #382 shows that the following formulas are inconsistent:
% 244.26/48.37  ----------------------------------------------------------------
% 244.26/48.37    (1)  all_25_10 = e11 & op1(e13, e11) = e11
% 244.26/48.37    (2)  all_25_10 = e14
% 244.26/48.37    (3)   ~ (e14 = e11)
% 244.26/48.37  
% 244.26/48.37  Begin of proof
% 244.26/48.37  | 
% 244.26/48.37  | ALPHA: (1) implies:
% 244.26/48.37  |   (4)  all_25_10 = e11
% 244.26/48.37  | 
% 244.26/48.37  | COMBINE_EQS: (2), (4) imply:
% 244.26/48.37  |   (5)  e14 = e11
% 244.26/48.37  | 
% 244.26/48.37  | SIMP: (5) implies:
% 244.26/48.37  |   (6)  e14 = e11
% 244.26/48.37  | 
% 244.26/48.37  | REDUCE: (3), (6) imply:
% 244.26/48.37  |   (7)  $false
% 244.26/48.37  | 
% 244.26/48.37  | CLOSE: (7) is inconsistent.
% 244.26/48.37  | 
% 244.26/48.37  End of proof
% 244.26/48.37  
% 244.26/48.37  Sub-proof #383 shows that the following formulas are inconsistent:
% 244.26/48.37  ----------------------------------------------------------------
% 244.26/48.37    (1)   ~ (e14 = e10)
% 244.26/48.37    (2)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 244.26/48.37           = e14)
% 244.26/48.37    (3)   ~ (e14 = e11)
% 244.26/48.37    (4)  all_25_4 = e11
% 244.26/48.37    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.37           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.26/48.37    (6)  op1(e13, e12) = e10
% 244.26/48.37  
% 244.26/48.37  Begin of proof
% 244.26/48.37  | 
% 244.26/48.37  | BETA: splitting (2) gives:
% 244.26/48.37  | 
% 244.26/48.37  | Case 1:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (7)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #453.
% 244.26/48.37  | | 
% 244.26/48.37  | Case 2:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (8)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.26/48.37  | | 
% 244.26/48.37  | | ALPHA: (8) implies:
% 244.26/48.37  | |   (9)  op1(e13, e12) = e14
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (1), (5), (6), (9) are inconsistent by sub-proof #1286.
% 244.26/48.37  | | 
% 244.26/48.37  | End of split
% 244.26/48.37  | 
% 244.26/48.37  End of proof
% 244.26/48.37  
% 244.26/48.37  Sub-proof #384 shows that the following formulas are inconsistent:
% 244.26/48.37  ----------------------------------------------------------------
% 244.26/48.37    (1)   ~ (all_16_1 = e24)
% 244.26/48.37    (2)   ~ (e23 = e21)
% 244.26/48.37    (3)  op2(e23, e21) = e24
% 244.26/48.37    (4)   ~ (all_16_1 = e21)
% 244.26/48.37    (5)  op2(e23, e23) = e21
% 244.26/48.37    (6)   ~ (e23 = e22)
% 244.26/48.37    (7)   ~ (e22 = e20)
% 244.26/48.37    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.37           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.26/48.37    (9)   ~ (e23 = e20)
% 244.26/48.37    (10)   ~ (all_16_1 = e20)
% 244.26/48.37    (11)  all_20_5 = e24 | all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.26/48.37    (12)  op2(e23, e22) = e20
% 244.26/48.37    (13)   ~ (all_16_1 = e23)
% 244.26/48.37    (14)   ~ (e24 = e22)
% 244.26/48.37    (15)  op2(e23, e24) = all_16_1
% 244.26/48.37    (16)   ~ (e24 = e23)
% 244.26/48.37    (17)  op2(e23, e21) = all_10_1
% 244.26/48.37    (18)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 244.26/48.37              e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.26/48.37    (19)  all_20_5 = all_16_1
% 244.26/48.37    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.26/48.37            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.26/48.37            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.26/48.37  
% 244.26/48.37  Begin of proof
% 244.26/48.37  | 
% 244.26/48.37  | BETA: splitting (18) gives:
% 244.26/48.37  | 
% 244.26/48.37  | Case 1:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (21)  all_24_5 = e22 & op2(e23, e22) = e22
% 244.26/48.37  | | 
% 244.26/48.37  | | REF_CLOSE: (7), (8), (12), (21) are inconsistent by sub-proof #1330.
% 244.26/48.37  | | 
% 244.26/48.37  | Case 2:
% 244.26/48.37  | | 
% 244.26/48.37  | |   (22)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 244.26/48.37  | |           op2(e23, e20) = e22)
% 244.26/48.37  | | 
% 244.26/48.37  | | BETA: splitting (22) gives:
% 244.26/48.37  | | 
% 244.26/48.37  | | Case 1:
% 244.26/48.37  | | | 
% 244.26/48.37  | | |   (23)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.26/48.37  | | | 
% 244.26/48.37  | | | ALPHA: (23) implies:
% 244.26/48.37  | | |   (24)  op2(e23, e21) = e22
% 244.26/48.37  | | | 
% 244.26/48.37  | | | REF_CLOSE: (3), (8), (14), (17), (24) are inconsistent by sub-proof #963.
% 244.26/48.37  | | | 
% 244.26/48.37  | | Case 2:
% 244.26/48.37  | | | 
% 244.26/48.37  | | |   (25)  all_24_17 = e22 & op2(e23, e20) = e22
% 244.26/48.37  | | | 
% 244.26/48.37  | | | ALPHA: (25) implies:
% 244.26/48.37  | | |   (26)  all_24_17 = e22
% 244.26/48.37  | | | 
% 244.26/48.37  | | | BETA: splitting (11) gives:
% 244.26/48.37  | | | 
% 244.26/48.37  | | | Case 1:
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | |   (27)  all_20_5 = e24
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | | COMBINE_EQS: (19), (27) imply:
% 244.26/48.37  | | | |   (28)  all_16_1 = e24
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | | REDUCE: (1), (28) imply:
% 244.26/48.37  | | | |   (29)  $false
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | | CLOSE: (29) is inconsistent.
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | Case 2:
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | |   (30)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (15),
% 244.26/48.37  | | | |            (16), (17), (19), (20), (26), (30) are inconsistent by
% 244.26/48.37  | | | |            sub-proof #855.
% 244.26/48.37  | | | | 
% 244.26/48.37  | | | End of split
% 244.26/48.37  | | | 
% 244.26/48.37  | | End of split
% 244.26/48.37  | | 
% 244.26/48.37  | End of split
% 244.26/48.37  | 
% 244.26/48.37  End of proof
% 244.26/48.37  
% 244.26/48.37  Sub-proof #385 shows that the following formulas are inconsistent:
% 244.26/48.37  ----------------------------------------------------------------
% 244.26/48.38    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 244.26/48.38             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 244.26/48.38           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.26/48.38    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.26/48.38             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.26/48.38           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.38    (3)  op1(e11, e10) = all_14_23
% 244.26/48.38    (4)   ~ (all_14_10 = e10)
% 244.26/48.38    (5)  op1(e12, e13) = all_14_7
% 244.26/48.38    (6)   ~ (all_14_0 = all_14_4)
% 244.26/48.38    (7)   ~ (all_14_15 = all_14_17)
% 244.26/48.38    (8)   ~ (e14 = e10)
% 244.26/48.38    (9)  op1(e10, e13) = all_14_9
% 244.26/48.38    (10)   ~ (all_14_22 = e10)
% 244.26/48.38    (11)  all_25_2 = e12
% 244.26/48.38    (12)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.26/48.38            = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.26/48.38            op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.26/48.38    (13)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 244.26/48.38              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 244.26/48.38            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.38    (14)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 244.26/48.38            op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.26/48.38              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 244.26/48.38            $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 244.26/48.38            &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 244.26/48.38            op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14)
% 244.26/48.38            = all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 244.26/48.38          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) &
% 244.26/48.38            op1(all_23_33, e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.26/48.38              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) &
% 244.26/48.38            $i(all_23_32) & $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10)
% 244.26/48.38            &  ~ (all_23_46 = all_23_47) & op1(all_23_47, e14) = all_23_6 &
% 244.26/48.38            op1(all_23_47, e10) = e14 & op1(e14, e10) = all_23_47 & op1(e10, e14)
% 244.26/48.38            = all_23_46 & $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.26/48.38          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) &
% 244.26/48.38            op1(all_23_10, e14) = e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.26/48.38              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_8) &
% 244.26/48.38            $i(all_23_10) & $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 =
% 244.26/48.38              e12) &  ~ (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12
% 244.26/48.38            & op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12,
% 244.26/48.38              e13) = all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 244.26/48.38          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 244.26/48.38            op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.26/48.38              e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 244.26/48.38            $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 244.26/48.38              e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16
% 244.26/48.38            & op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10,
% 244.26/48.38              e13) = all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 244.26/48.38          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 244.26/48.38            op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.26/48.38              e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 244.26/48.38            $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 244.26/48.38              e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 244.26/48.38            op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 244.26/48.38              e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 244.26/48.38          (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 244.26/48.38            op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.26/48.38              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 244.26/48.38            $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 244.26/48.38              e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28
% 244.26/48.38            & op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10,
% 244.26/48.38              e12) = all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 244.26/48.38          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 244.26/48.38            op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.26/48.38              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 244.26/48.38            $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 244.26/48.38              e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 244.26/48.38            op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 244.26/48.38              e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.26/48.38          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 244.26/48.38            op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.26/48.38              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 244.26/48.38            $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 244.26/48.38              e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42
% 244.26/48.38            & op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10,
% 244.26/48.38              e11) = all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 244.26/48.38          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 244.26/48.38            op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.26/48.38              e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 244.26/48.38            $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 244.26/48.38              e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 244.26/48.38            op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 244.26/48.38              e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.26/48.38          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 244.26/48.38            op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.26/48.38              e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 244.26/48.38            $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 244.26/48.38              e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 244.26/48.38            op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 244.26/48.38              e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.26/48.38    (15)  all_25_1 = e12
% 244.26/48.38    (16)  op1(e14, unit1) = e14
% 244.26/48.38    (17)  all_25_24 = e10
% 244.26/48.38    (18)   ~ (all_14_23 = e10)
% 244.26/48.38    (19)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13,
% 244.26/48.38              e11) = e13) | (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 =
% 244.26/48.38            e13 & op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10, e11) = e13)
% 244.26/48.38    (20)  op1(e14, e14) = all_14_0
% 244.26/48.38    (21)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.26/48.38              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.26/48.38            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.26/48.38    (22)  op1(e10, e14) = all_14_4
% 244.26/48.38    (23)   ~ (all_14_8 = e12)
% 244.26/48.38    (24)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.26/48.38              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.26/48.38            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.38    (25)   ~ (all_14_15 = e13)
% 244.26/48.38    (26)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.26/48.38            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.26/48.38            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.26/48.38    (27)   ~ (all_14_7 = e12)
% 244.26/48.38    (28)   ~ (all_14_18 = all_14_19)
% 244.26/48.38    (29)   ~ (all_14_7 = e11)
% 244.26/48.38    (30)   ~ (e12 = e11)
% 244.26/48.38    (31)   ~ (all_14_17 = all_14_19)
% 244.26/48.38    (32)   ~ (all_14_0 = e12)
% 244.26/48.38    (33)   ~ (e14 = e11)
% 244.26/48.38    (34)  all_25_3 = e11
% 244.26/48.38    (35)   ~ (all_14_17 = all_14_18)
% 244.26/48.38    (36)  op1(e10, e13) = e13
% 244.26/48.38    (37)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14, e13)
% 244.26/48.38            = e13) | (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9 = e13 &
% 244.26/48.38            op1(e14, e11) = e13) | (all_25_16 = e13 & op1(e14, e10) = e13)
% 244.26/48.38    (38)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.26/48.38            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.26/48.38            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.26/48.38    (39)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.26/48.38            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.26/48.38            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.26/48.38    (40)   ~ (e13 = e10)
% 244.26/48.38    (41)  op1(e11, e12) = all_14_13
% 244.26/48.38    (42)   ~ (e14 = e13)
% 244.26/48.38    (43)   ~ (all_14_10 = e13)
% 244.26/48.38    (44)   ~ (all_14_7 = e13)
% 244.26/48.38    (45)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 244.26/48.38            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 244.26/48.38            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 244.26/48.38    (46)   ~ (all_14_15 = e12)
% 244.26/48.38    (47)   ~ (all_14_17 = e14)
% 244.26/48.38    (48)   ~ (all_14_15 = all_14_19)
% 244.26/48.38    (49)   ~ (all_14_4 = e10)
% 244.26/48.38    (50)  op1(e14, e11) = all_14_15
% 244.26/48.38    (51)  op1(e13, unit1) = e13
% 244.26/48.38    (52)   ~ (all_14_10 = all_14_14)
% 244.26/48.38    (53)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 244.26/48.38            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 244.26/48.38            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 244.26/48.38    (54)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 244.26/48.38            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 244.26/48.38            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.38    (55)  op1(e13, e11) = e14
% 244.26/48.38    (56)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.26/48.38              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.26/48.38            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.38    (57)   ~ (all_14_23 = e13)
% 244.26/48.38    (58)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.26/48.38              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.26/48.38            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.38    (59)   ~ (all_14_17 = all_14_22)
% 244.26/48.38    (60)  all_25_21 = e13
% 244.26/48.38    (61)  all_18_18 = e14 | all_18_18 = e13 | all_18_18 = e12 | all_18_18 = e11 |
% 244.26/48.38          all_18_18 = e10
% 244.26/48.38    (62)  op1(e11, e13) = all_14_8
% 244.26/48.38    (63)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.26/48.38              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.26/48.38            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.38    (64)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.38            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.26/48.38    (65)   ~ (all_14_7 = all_14_8)
% 244.26/48.38    (66)  op1(e12, e10) = all_14_22
% 244.26/48.38    (67)   ~ (e13 = e11)
% 244.26/48.38    (68)  op1(e13, e12) = e10
% 244.26/48.38    (69)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.26/48.38              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.26/48.38            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.38    (70)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 244.26/48.38              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.26/48.38            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.26/48.38    (71)  op1(e12, e11) = all_14_17
% 244.26/48.38    (72)   ~ (all_14_18 = e14)
% 244.26/48.38    (73)  op1(e12, unit1) = e12
% 244.26/48.38    (74)   ~ (e11 = e10)
% 244.26/48.38    (75)   ~ (all_14_13 = e10)
% 244.26/48.38    (76)   ~ (all_14_13 = all_14_14)
% 244.26/48.38    (77)  op1(e12, e14) = all_14_2
% 244.26/48.38    (78)   ~ (all_14_8 = all_14_18)
% 244.26/48.38    (79)   ~ (e13 = e12)
% 244.26/48.38    (80)  op1(e13, e13) = e11
% 244.26/48.38    (81)   ~ (all_14_20 = e13)
% 244.26/48.38    (82)  op1(e11, e14) = all_14_3
% 244.26/48.38    (83)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 244.26/48.38              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 244.26/48.38            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 244.26/48.38    (84)   ~ (e12 = e10)
% 244.26/48.38    (85)  all_25_10 = e14
% 244.26/48.38    (86)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 244.26/48.38            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 244.26/48.38            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.26/48.38    (87)   ~ (all_14_9 = e12)
% 244.26/48.38    (88)   ~ (all_14_19 = e14)
% 244.26/48.38    (89)   ~ (all_14_15 = all_14_20)
% 244.26/48.38    (90)   ~ (all_14_14 = e13)
% 244.26/48.38    (91)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.26/48.38            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.26/48.38            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.38    (92)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.26/48.38            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.26/48.38            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.26/48.38    (93)   ~ (all_14_13 = all_14_23)
% 244.26/48.39    (94)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.26/48.39              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.26/48.39            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.39    (95)   ~ (all_14_15 = e14)
% 244.26/48.39    (96)   ~ (all_14_19 = e13)
% 244.26/48.39    (97)  op1(e14, e10) = all_14_20
% 244.26/48.39    (98)   ~ (all_14_20 = e12)
% 244.26/48.39    (99)  op1(e13, e10) = e13
% 244.26/48.39    (100)  op1(e10, unit1) = e10
% 244.26/48.39    (101)   ~ (all_14_8 = e11)
% 244.26/48.39    (102)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.26/48.39    (103)  all_18_18 = all_14_18
% 244.26/48.39    (104)  op1(unit1, e14) = e14
% 244.26/48.39    (105)  op1(e14, e12) = all_14_10
% 244.26/48.39    (106)   ~ (all_14_10 = e12)
% 244.26/48.39    (107)  op1(e11, e11) = all_14_18
% 244.26/48.39    (108)   ~ (all_14_20 = e10)
% 244.26/48.39    (109)   ~ (all_14_15 = all_14_18)
% 244.26/48.39    (110)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 244.26/48.39               e13) = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 =
% 244.26/48.39             e10 & op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.39    (111)   ~ (all_14_0 = all_14_3)
% 244.26/48.39    (112)  op1(unit1, e12) = e12
% 244.26/48.39    (113)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.26/48.39               e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23
% 244.26/48.39             = e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) =
% 244.26/48.39             e13)
% 244.26/48.39    (114)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13,
% 244.26/48.39               e13) = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 =
% 244.26/48.39             e14 & op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.26/48.39    (115)  op1(e10, e11) = all_14_19
% 244.26/48.39    (116)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 244.26/48.39               e13) = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 =
% 244.26/48.39             e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.39    (117)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 244.26/48.39               e12) = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 =
% 244.26/48.39             e14 & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.39    (118)  op1(e10, e12) = all_14_14
% 244.26/48.39    (119)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.26/48.39               e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19
% 244.26/48.39             = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 244.26/48.39             e12)
% 244.26/48.39    (120)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 244.26/48.39               e13) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 =
% 244.26/48.39             e10 & op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.26/48.39    (121)  op1(e13, e14) = e12
% 244.26/48.39    (122)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 244.26/48.39               e13) = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 =
% 244.26/48.39             e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 244.26/48.39    (123)   ~ (e14 = e12)
% 244.26/48.39    (124)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 244.26/48.39               e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 =
% 244.26/48.39             e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.26/48.39    (125)  op1(e14, e13) = e12
% 244.26/48.39    (126)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 244.26/48.39               e12) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 =
% 244.26/48.39             e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.26/48.39    (127)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 244.26/48.39               e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 244.26/48.39             e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.39    (128)  all_25_17 = e13
% 244.26/48.39  
% 244.26/48.39  Begin of proof
% 244.26/48.39  | 
% 244.26/48.39  | BETA: splitting (37) gives:
% 244.26/48.39  | 
% 244.26/48.39  | Case 1:
% 244.26/48.39  | | 
% 244.26/48.39  | |   (129)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14,
% 244.26/48.39  | |              e13) = e13)
% 244.26/48.39  | | 
% 244.26/48.39  | | BETA: splitting (129) gives:
% 244.26/48.39  | | 
% 244.26/48.39  | | Case 1:
% 244.26/48.39  | | | 
% 244.26/48.39  | | |   (130)  all_25_0 = e13 & op1(e14, e14) = e13
% 244.26/48.39  | | | 
% 244.26/48.39  | | | ALPHA: (130) implies:
% 244.26/48.39  | | |   (131)  all_25_0 = e13
% 244.26/48.39  | | |   (132)  op1(e14, e14) = e13
% 244.26/48.39  | | | 
% 244.26/48.39  | | | BETA: splitting (53) gives:
% 244.26/48.39  | | | 
% 244.26/48.39  | | | Case 1:
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | |   (133)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 &
% 244.26/48.39  | | | |            op1(e14, e13) = e10)
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | | BETA: splitting (133) gives:
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | | Case 1:
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | |   (134)  all_25_0 = e10 & op1(e14, e14) = e10
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | REF_CLOSE: (8), (11), (12), (33), (34), (40), (42), (64), (67), (68),
% 244.26/48.39  | | | | |            (79), (80), (114), (123), (128), (131), (134) are
% 244.26/48.39  | | | | |            inconsistent by sub-proof #1246.
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | Case 2:
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | |   (135)  all_25_1 = e10 & op1(e14, e13) = e10
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (40), (42), (64),
% 244.26/48.39  | | | | |            (67), (68), (74), (79), (80), (84), (92), (114), (123),
% 244.26/48.39  | | | | |            (135) are inconsistent by sub-proof #1280.
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | End of split
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | Case 2:
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | |   (136)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 244.26/48.39  | | | |            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) =
% 244.26/48.39  | | | |            e10)
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | | BETA: splitting (136) gives:
% 244.26/48.39  | | | | 
% 244.26/48.39  | | | | Case 1:
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | |   (137)  all_25_4 = e10 & op1(e14, e12) = e10
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | ALPHA: (137) implies:
% 244.26/48.39  | | | | |   (138)  op1(e14, e12) = e10
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | REF_CLOSE: (4), (64), (105), (138) are inconsistent by sub-proof #973.
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | Case 2:
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | |   (139)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 244.26/48.39  | | | | |            op1(e14, e10) = e10)
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | BETA: splitting (139) gives:
% 244.26/48.39  | | | | | 
% 244.26/48.39  | | | | | Case 1:
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | |   (140)  all_25_9 = e10 & op1(e14, e11) = e10
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | ALPHA: (140) implies:
% 244.26/48.39  | | | | | |   (141)  all_25_9 = e10
% 244.26/48.39  | | | | | |   (142)  op1(e14, e11) = e10
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | GROUND_INST: instantiating (64) with all_14_15, e10, e11, e14,
% 244.26/48.39  | | | | | |              simplifying with (50), (142) gives:
% 244.26/48.39  | | | | | |   (143)  all_14_15 = e10
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | GROUND_INST: instantiating (64) with all_14_0, e13, e14, e14,
% 244.26/48.39  | | | | | |              simplifying with (20), (132) gives:
% 244.26/48.39  | | | | | |   (144)  all_14_0 = e13
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (111), (144) imply:
% 244.26/48.39  | | | | | |   (145)   ~ (all_14_3 = e13)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | SIMP: (145) implies:
% 244.26/48.39  | | | | | |   (146)   ~ (all_14_3 = e13)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (6), (144) imply:
% 244.26/48.39  | | | | | |   (147)   ~ (all_14_4 = e13)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | SIMP: (147) implies:
% 244.26/48.39  | | | | | |   (148)   ~ (all_14_4 = e13)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (7), (143) imply:
% 244.26/48.39  | | | | | |   (149)   ~ (all_14_17 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | SIMP: (149) implies:
% 244.26/48.39  | | | | | |   (150)   ~ (all_14_17 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (109), (143) imply:
% 244.26/48.39  | | | | | |   (151)   ~ (all_14_18 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | SIMP: (151) implies:
% 244.26/48.39  | | | | | |   (152)   ~ (all_14_18 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (48), (143) imply:
% 244.26/48.39  | | | | | |   (153)   ~ (all_14_19 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | SIMP: (153) implies:
% 244.26/48.39  | | | | | |   (154)   ~ (all_14_19 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (89), (143) imply:
% 244.26/48.39  | | | | | |   (155)   ~ (all_14_20 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (95), (143) imply:
% 244.26/48.39  | | | | | |   (156)   ~ (e14 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (25), (143) imply:
% 244.26/48.39  | | | | | |   (157)   ~ (e13 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | REDUCE: (46), (143) imply:
% 244.26/48.39  | | | | | |   (158)   ~ (e12 = e10)
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | BETA: splitting (61) gives:
% 244.26/48.39  | | | | | | 
% 244.26/48.39  | | | | | | Case 1:
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | |   (159)  all_18_18 = e13
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | COMBINE_EQS: (103), (159) imply:
% 244.26/48.39  | | | | | | |   (160)  all_14_18 = e13
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | REDUCE: (78), (160) imply:
% 244.26/48.39  | | | | | | |   (161)   ~ (all_14_8 = e13)
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | REDUCE: (35), (160) imply:
% 244.26/48.39  | | | | | | |   (162)   ~ (all_14_17 = e13)
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | REDUCE: (28), (160) imply:
% 244.26/48.39  | | | | | | |   (163)   ~ (all_14_19 = e13)
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | REDUCE: (72), (160) imply:
% 244.26/48.39  | | | | | | |   (164)   ~ (e14 = e13)
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | BETA: splitting (45) gives:
% 244.26/48.39  | | | | | | | 
% 244.26/48.39  | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | |   (165)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 =
% 244.26/48.39  | | | | | | | |            e13 & op1(e13, e12) = e13)
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | | BETA: splitting (165) gives:
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | |   (166)  all_25_4 = e13 & op1(e14, e12) = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | ALPHA: (166) implies:
% 244.26/48.39  | | | | | | | | |   (167)  all_25_4 = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | BETA: splitting (38) gives:
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | |   (168)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 244.26/48.39  | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | BETA: splitting (168) gives:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (169)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | REF_CLOSE: (67), (131), (169) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | |            #1241.
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (170)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | REF_CLOSE: (15), (30), (170) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | |            #1240.
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | |   (171)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 244.26/48.39  | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 244.26/48.39  | | | | | | | | | |            op1(e14, e10) = e11)
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | BETA: splitting (171) gives:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (172)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | REF_CLOSE: (67), (167), (172) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | |            #1221.
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (173)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.39  | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | BETA: splitting (173) gives:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | |   (174)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | ALPHA: (174) implies:
% 244.26/48.39  | | | | | | | | | | | |   (175)  all_25_9 = e11
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | REF_CLOSE: (74), (141), (175) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | | |            #1238.
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | |   (176)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | ALPHA: (176) implies:
% 244.26/48.39  | | | | | | | | | | | |   (177)  all_25_16 = e11
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | REF_CLOSE: (15), (33), (42), (50), (64), (95), (122), (123),
% 244.26/48.39  | | | | | | | | | | | |            (131), (167), (177) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | | |            #1233.
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | |   (178)  all_25_5 = e13 & op1(e13, e12) = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | ALPHA: (178) implies:
% 244.26/48.39  | | | | | | | | |   (179)  op1(e13, e12) = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | REF_CLOSE: (40), (64), (68), (179) are inconsistent by
% 244.26/48.39  | | | | | | | | |            sub-proof #1334.
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | |   (180)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 =
% 244.26/48.39  | | | | | | | |            e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 244.26/48.39  | | | | | | | |            op1(e10, e12) = e13)
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | | BETA: splitting (180) gives:
% 244.26/48.39  | | | | | | | | 
% 244.26/48.39  | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | |   (181)  all_25_8 = e13 & op1(e12, e12) = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | ALPHA: (181) implies:
% 244.26/48.39  | | | | | | | | |   (182)  all_25_8 = e13
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | BETA: splitting (19) gives:
% 244.26/48.39  | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | |   (183)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10
% 244.26/48.39  | | | | | | | | | |            = e13 & op1(e13, e11) = e13)
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | REF_CLOSE: (25), (42), (50), (55), (64), (183) are
% 244.26/48.39  | | | | | | | | | |            inconsistent by sub-proof #1229.
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | |   (184)  (all_25_11 = e13 & op1(e12, e11) = e13) |
% 244.26/48.39  | | | | | | | | | |          (all_25_15 = e13 & op1(e11, e11) = e13) |
% 244.26/48.39  | | | | | | | | | |          (all_25_23 = e13 & op1(e10, e11) = e13)
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | BETA: splitting (184) gives:
% 244.26/48.39  | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (185)  all_25_11 = e13 & op1(e12, e11) = e13
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | REF_CLOSE: (64), (71), (162), (185) are inconsistent by
% 244.26/48.39  | | | | | | | | | | |            sub-proof #1228.
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | |   (186)  (all_25_15 = e13 & op1(e11, e11) = e13) |
% 244.26/48.39  | | | | | | | | | | |          (all_25_23 = e13 & op1(e10, e11) = e13)
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | BETA: splitting (186) gives:
% 244.26/48.39  | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | |   (187)  all_25_15 = e13 & op1(e11, e11) = e13
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | ALPHA: (187) implies:
% 244.26/48.39  | | | | | | | | | | | |   (188)  all_25_15 = e13
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | BETA: splitting (116) gives:
% 244.26/48.39  | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | |   (189)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 244.26/48.39  | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | BETA: splitting (189) gives:
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | |   (190)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | REF_CLOSE: (15), (123), (190) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | | | | |            #1292.
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | |   (191)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | REF_CLOSE: (33), (34), (191) are inconsistent by sub-proof
% 244.26/48.39  | | | | | | | | | | | | | |            #1291.
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | End of split
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | |   (192)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 244.26/48.39  | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.39  | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | BETA: splitting (192) gives:
% 244.26/48.39  | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | |   (193)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | ALPHA: (193) implies:
% 244.26/48.39  | | | | | | | | | | | | | |   (194)  all_25_7 = e14
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (11), (12), (13), (16), (17), (21),
% 244.26/48.39  | | | | | | | | | | | | | |            (26), (30), (33), (34), (40), (42), (46), (50),
% 244.26/48.39  | | | | | | | | | | | | | |            (51), (55), (56), (60), (64), (67), (68), (73),
% 244.26/48.39  | | | | | | | | | | | | | |            (74), (79), (80), (84), (85), (88), (90), (92),
% 244.26/48.39  | | | | | | | | | | | | | |            (94), (96), (97), (98), (100), (102), (104),
% 244.26/48.39  | | | | | | | | | | | | | |            (105), (106), (112), (113), (114), (115), (118),
% 244.26/48.39  | | | | | | | | | | | | | |            (119), (120), (121), (123), (127), (128), (141),
% 244.26/48.39  | | | | | | | | | | | | | |            (154), (182), (188), (194) are inconsistent by
% 244.26/48.39  | | | | | | | | | | | | | |            sub-proof #437.
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | |   (195)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.39  | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 244.26/48.39  | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | |   (196)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.39  | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 244.26/48.39  | | | | | | | | | | | | | | |   (197)  all_25_13 = e14
% 244.26/48.39  | | | | | | | | | | | | | | |   (198)  op1(e11, e13) = e14
% 244.26/48.39  | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 244.26/48.39  | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | |   (199)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.39  | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 244.26/48.39  | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 244.26/48.39  | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | |   (200)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.39  | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 244.26/48.39  | | | | | | | | | | | | | | | | |   (201)  all_25_12 = e10
% 244.26/48.39  | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 244.26/48.39  | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.39  | | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | |   (202)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 244.26/48.39  | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 244.26/48.39  | | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (40),
% 244.26/48.39  | | | | | | | | | | | | | | | | | |            (42), (64), (67), (68), (74), (79), (80), (84),
% 244.26/48.39  | | | | | | | | | | | | | | | | | |            (92), (114), (123), (202) are inconsistent by
% 244.26/48.39  | | | | | | | | | | | | | | | | | |            sub-proof #1279.
% 244.26/48.39  | | | | | | | | | | | | | | | | | | 
% 244.26/48.39  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.39  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | |   (203)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (204)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (205)  all_25_7 = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (206)  op1(e12, e13) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with all_14_8, e14, e13, e11,
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |              simplifying with (62), (198) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (207)  all_14_8 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with all_14_7, e10, e13, e12,
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |              simplifying with (5), (206) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (208)  all_14_7 = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | REDUCE: (29), (208) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (209)   ~ (e11 = e10)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (210)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (211)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (131), (211) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            #1241.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (212)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (30), (212) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            #1189.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (213)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (214)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (215)  all_25_6 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_25_6 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (218) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (219)  e14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (220)  e14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (220) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_25_13 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (33), (34), (36), (42), (64), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (123), (205), (221) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_25_7 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (11), (12), (13), (16), (17), (21),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (26), (30), (33), (34), (40), (42), (46), (50),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (51), (55), (56), (60), (64), (67), (68), (73),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (74), (79), (80), (84), (85), (88), (90), (92),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (94), (96), (97), (98), (100), (102), (104),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (105), (106), (112), (113), (114), (115), (118),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (119), (120), (121), (123), (127), (128), (141),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (154), (182), (188), (223) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #437.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_25_8 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (226) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (227)  e14 = e13
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (227) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_25_13 = e13
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (33), (34), (36), (42), (64), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            (123), (205), (228) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            #1249.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_25_11 = e14 & op1(e12, e11) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (64), (71), (230) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_25_18 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (16), (17), (26), (30),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            (33), (34), (36), (40), (42), (51), (56), (64),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            (67), (68), (74), (79), (80), (84), (92), (97),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            (98), (100), (102), (105), (106), (112), (114),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            (115), (116), (119), (121), (123), (128), (154),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            (197), (205), (232) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            #937.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (233)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (34), (40),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (42), (51), (64), (67), (68), (74), (79), (80),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (88), (90), (94), (96), (100), (102), (104),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (112), (113), (114), (115), (118), (121), (123),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (128), (154), (201), (233) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            sub-proof #457.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (234)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (235)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (197), (235) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            #1159.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (236)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (33), (34), (40), (42), (60),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (64), (67), (68), (79), (80), (114), (123), (128),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (236) are inconsistent by sub-proof #1256.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | |   (237)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (197), (237) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | |            #1159.
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | |   (238)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.40  | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | |   (239)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | |   (240)  op1(e11, e12) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (64), (75), (240) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | |   (241)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.40  | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | |   (242)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (33), (34), (40), (42), (64),
% 244.26/48.40  | | | | | | | | | | | | | | | | | |            (67), (68), (79), (80), (114), (123), (128),
% 244.26/48.40  | | | | | | | | | | | | | | | | | |            (188), (242) are inconsistent by sub-proof #436.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | |   (243)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | |   (244)  all_25_19 = e10
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (245)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |          (all_25_13 = e12 & op1(e11, e13) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (246)  all_25_12 = e12 & op1(e11, e14) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (247)  all_25_12 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (248)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (17), (26), (30), (33),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (34), (36), (40), (41), (42), (51), (55), (56),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (60), (63), (64), (67), (68), (69), (74), (75),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (97), (98), (100), (102),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (105), (106), (110), (112), (114), (115), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (119), (123), (128), (154), (188), (197), (244),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (248) are inconsistent by sub-proof #433.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (249)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |   (250)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |   (251)  all_25_14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (68), (84), (105), (106), (252) are
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (182), (254) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |            #944.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_25_14 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (17), (26), (30), (33),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (36), (40), (41), (42), (51), (55), (56),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (60), (63), (64), (67), (68), (69), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (79), (80), (84), (92), (97), (98), (100),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (102), (105), (106), (110), (112), (114), (115),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (119), (123), (128), (154), (188), (197),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (257) are inconsistent by sub-proof #432.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_25_22 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_25_4 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (131), (264) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_25_1 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (266) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e12 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (267) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_25_12 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (41), (42), (51), (55), (56), (63), (64),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (68), (69), (74), (75), (79), (80), (84),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (97), (98), (100), (102), (105), (106),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (115), (119), (123), (128), (154),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (188), (197), (244), (268) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #434.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_25_4 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (271) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  e14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (272) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_25_13 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (40), (42), (60), (64), (67), (68), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (110), (114), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (128), (273) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #446.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_25_9 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (141), (276) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1238.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (33), (40), (51), (64), (68), (79), (100),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (102), (115), (121), (154), (277) are inconsistent
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #941.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  op1(e13, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (64), (68), (279) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_25_8 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (282) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  e14 = e13
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (40), (42), (60), (64), (67), (68), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (110), (114), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (128), (197), (283) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #431.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_25_14 = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (286) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  e14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  e14 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (288) imply:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_25_13 = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (40), (42), (60), (64), (67), (68), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (110), (114), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (128), (289) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #446.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (40), (42), (60), (64), (67), (68), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (110), (114), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (128), (197), (259), (290) are inconsistent
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #430.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |   (291)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (188), (292) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            #441.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (244), (293) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (294)  all_25_13 = e12 & op1(e11, e13) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (295)  all_25_13 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (36), (40), (42), (60), (64), (67), (68), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (92), (110), (114), (116),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (123), (128), (295) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            #471.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |   (296)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (297)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (298)  all_25_14 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (17), (26), (30), (33),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (34), (36), (40), (41), (42), (51), (55), (56),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (58), (60), (63), (64), (67), (68), (69), (74),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (75), (79), (80), (84), (92), (97), (98), (100),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (102), (105), (106), (110), (112), (114), (115),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (116), (119), (123), (128), (154), (188), (197),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |            (244), (298) are inconsistent by sub-proof #432.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |   (299)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (300)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (188), (300) are inconsistent by sub-proof
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            #1088.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (301)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | ALPHA: (301) implies:
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |   (302)  all_25_19 = e12
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (26), (30), (33), (40), (42),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (64), (67), (68), (74), (79), (80), (84), (92),
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            (114), (123), (244), (302) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1071.
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | |   (303)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 244.26/48.40  | | | | | | | | | | | | | | |   (304)  op1(e10, e13) = e14
% 244.26/48.40  | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | | REF_CLOSE: (36), (42), (64), (304) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | | | | |            sub-proof #1274.
% 244.26/48.40  | | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | |   (305)  all_25_23 = e13 & op1(e10, e11) = e13
% 244.26/48.40  | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | | REF_CLOSE: (64), (96), (115), (305) are inconsistent by
% 244.26/48.40  | | | | | | | | | | | |            sub-proof #1253.
% 244.26/48.40  | | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | End of split
% 244.26/48.40  | | | | | | | | | 
% 244.26/48.40  | | | | | | | | Case 2:
% 244.26/48.40  | | | | | | | | | 
% 244.26/48.40  | | | | | | | | |   (306)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22
% 244.26/48.40  | | | | | | | | |            = e13 & op1(e10, e12) = e13)
% 244.26/48.40  | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | BETA: splitting (306) gives:
% 244.26/48.40  | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | Case 1:
% 244.26/48.40  | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | |   (307)  all_25_14 = e13 & op1(e11, e12) = e13
% 244.26/48.40  | | | | | | | | | | 
% 244.26/48.40  | | | | | | | | | | ALPHA: (307) implies:
% 244.26/48.40  | | | | | | | | | |   (308)  all_25_14 = e13
% 244.26/48.40  | | | | | | | | | |   (309)  op1(e11, e12) = e13
% 244.26/48.40  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (11), (12),
% 244.26/48.41  | | | | | | | | | |            (13), (14), (15), (16), (17), (18), (19), (21),
% 244.26/48.41  | | | | | | | | | |            (22), (24), (25), (26), (27), (28), (30), (31),
% 244.26/48.41  | | | | | | | | | |            (33), (34), (35), (36), (38), (39), (40), (41),
% 244.26/48.41  | | | | | | | | | |            (42), (46), (47), (49), (50), (51), (52), (54),
% 244.26/48.41  | | | | | | | | | |            (55), (56), (58), (59), (60), (62), (63), (64),
% 244.26/48.41  | | | | | | | | | |            (66), (67), (68), (69), (70), (71), (72), (74),
% 244.26/48.41  | | | | | | | | | |            (75), (76), (77), (79), (80), (82), (84), (85),
% 244.26/48.41  | | | | | | | | | |            (86), (87), (88), (91), (92), (93), (94), (96),
% 244.26/48.41  | | | | | | | | | |            (97), (98), (99), (100), (102), (104), (105),
% 244.26/48.41  | | | | | | | | | |            (106), (107), (108), (110), (112), (113), (114),
% 244.26/48.41  | | | | | | | | | |            (115), (116), (117), (118), (119), (120), (121),
% 244.26/48.41  | | | | | | | | | |            (123), (124), (125), (126), (127), (128), (131),
% 244.26/48.41  | | | | | | | | | |            (141), (142), (148), (150), (152), (154), (308),
% 244.26/48.41  | | | | | | | | | |            (309) are inconsistent by sub-proof #386.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | |   (310)  all_25_22 = e13 & op1(e10, e12) = e13
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | ALPHA: (310) implies:
% 244.26/48.41  | | | | | | | | | |   (311)  op1(e10, e12) = e13
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (64), (90), (118), (311) are inconsistent by
% 244.26/48.41  | | | | | | | | | |            sub-proof #1254.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | End of split
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | Case 2:
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | |   (312)   ~ (all_18_18 = e13)
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | REDUCE: (103), (312) imply:
% 244.26/48.41  | | | | | | |   (313)   ~ (all_14_18 = e13)
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | BETA: splitting (83) gives:
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | |   (314)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 =
% 244.26/48.41  | | | | | | | |            e13 & op1(e11, e13) = e13)
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (26), (30), (33), (34), (36),
% 244.26/48.41  | | | | | | | |            (40), (42), (60), (64), (67), (68), (74), (79), (80),
% 244.26/48.41  | | | | | | | |            (82), (84), (92), (110), (114), (116), (123), (128),
% 244.26/48.41  | | | | | | | |            (146), (314) are inconsistent by sub-proof #479.
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | |   (315)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 244.26/48.41  | | | | | | | |            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 &
% 244.26/48.41  | | | | | | | |            op1(e11, e10) = e13)
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | BETA: splitting (315) gives:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (316)  all_25_14 = e13 & op1(e11, e12) = e13
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | ALPHA: (316) implies:
% 244.26/48.41  | | | | | | | | |   (317)  all_25_14 = e13
% 244.26/48.41  | | | | | | | | |   (318)  op1(e11, e12) = e13
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (11), (12),
% 244.26/48.41  | | | | | | | | |            (13), (14), (15), (16), (17), (18), (19), (21),
% 244.26/48.41  | | | | | | | | |            (22), (24), (25), (26), (27), (28), (30), (31),
% 244.26/48.41  | | | | | | | | |            (33), (34), (35), (36), (38), (39), (40), (41),
% 244.26/48.41  | | | | | | | | |            (42), (46), (47), (49), (50), (51), (52), (54),
% 244.26/48.41  | | | | | | | | |            (55), (56), (58), (59), (60), (62), (63), (64),
% 244.26/48.41  | | | | | | | | |            (66), (67), (68), (69), (70), (71), (72), (74),
% 244.26/48.41  | | | | | | | | |            (75), (76), (77), (79), (80), (82), (84), (85),
% 244.26/48.41  | | | | | | | | |            (86), (87), (88), (91), (92), (93), (94), (96),
% 244.26/48.41  | | | | | | | | |            (97), (98), (99), (100), (102), (104), (105),
% 244.26/48.41  | | | | | | | | |            (106), (107), (108), (110), (112), (113), (114),
% 244.26/48.41  | | | | | | | | |            (115), (116), (117), (118), (119), (120), (121),
% 244.26/48.41  | | | | | | | | |            (123), (124), (125), (126), (127), (128), (131),
% 244.26/48.41  | | | | | | | | |            (141), (142), (148), (150), (152), (154), (317),
% 244.26/48.41  | | | | | | | | |            (318) are inconsistent by sub-proof #386.
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (319)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_19
% 244.26/48.41  | | | | | | | | |            = e13 & op1(e11, e10) = e13)
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | BETA: splitting (319) gives:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | |   (320)  all_25_15 = e13 & op1(e11, e11) = e13
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (64), (107), (313), (320) are inconsistent by
% 244.26/48.41  | | | | | | | | | |            sub-proof #970.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | |   (321)  all_25_19 = e13 & op1(e11, e10) = e13
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (3), (57), (64), (321) are inconsistent by
% 244.26/48.41  | | | | | | | | | |            sub-proof #951.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | End of split
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | End of split
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | Case 2:
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | |   (322)  all_25_16 = e10 & op1(e14, e10) = e10
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | | REF_CLOSE: (64), (97), (108), (322) are inconsistent by sub-proof
% 244.26/48.41  | | | | | |            #1232.
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | End of split
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | End of split
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | End of split
% 244.26/48.41  | | | 
% 244.26/48.41  | | Case 2:
% 244.26/48.41  | | | 
% 244.26/48.41  | | |   (323)  all_25_1 = e13 & op1(e14, e13) = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REF_CLOSE: (15), (79), (323) are inconsistent by sub-proof #1293.
% 244.26/48.41  | | | 
% 244.26/48.41  | | End of split
% 244.26/48.41  | | 
% 244.26/48.41  | Case 2:
% 244.26/48.41  | | 
% 244.26/48.41  | |   (324)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9 = e13 & op1(e14,
% 244.26/48.41  | |              e11) = e13) | (all_25_16 = e13 & op1(e14, e10) = e13)
% 244.26/48.41  | | 
% 244.26/48.41  | | BETA: splitting (324) gives:
% 244.26/48.41  | | 
% 244.26/48.41  | | Case 1:
% 244.26/48.41  | | | 
% 244.26/48.41  | | |   (325)  all_25_4 = e13 & op1(e14, e12) = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | ALPHA: (325) implies:
% 244.26/48.41  | | |   (326)  op1(e14, e12) = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | GROUND_INST: instantiating (64) with all_14_10, e13, e12, e14, simplifying
% 244.26/48.41  | | |              with (105), (326) gives:
% 244.26/48.41  | | |   (327)  all_14_10 = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (43), (327) imply:
% 244.26/48.41  | | |   (328)  $false
% 244.26/48.41  | | | 
% 244.26/48.41  | | | CLOSE: (328) is inconsistent.
% 244.26/48.41  | | | 
% 244.26/48.41  | | Case 2:
% 244.26/48.41  | | | 
% 244.26/48.41  | | |   (329)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_16 = e13 &
% 244.26/48.41  | | |            op1(e14, e10) = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | BETA: splitting (329) gives:
% 244.26/48.41  | | | 
% 244.26/48.41  | | | Case 1:
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | |   (330)  all_25_9 = e13 & op1(e14, e11) = e13
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | ALPHA: (330) implies:
% 244.26/48.41  | | | |   (331)  op1(e14, e11) = e13
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | REF_CLOSE: (25), (50), (64), (331) are inconsistent by sub-proof #1230.
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | Case 2:
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | |   (332)  all_25_16 = e13 & op1(e14, e10) = e13
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | ALPHA: (332) implies:
% 244.26/48.41  | | | |   (333)  op1(e14, e10) = e13
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | GROUND_INST: instantiating (64) with all_14_20, e13, e10, e14,
% 244.26/48.41  | | | |              simplifying with (97), (333) gives:
% 244.26/48.41  | | | |   (334)  all_14_20 = e13
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | REDUCE: (81), (334) imply:
% 244.26/48.41  | | | |   (335)  $false
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | CLOSE: (335) is inconsistent.
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | End of split
% 244.26/48.41  | | | 
% 244.26/48.41  | | End of split
% 244.26/48.41  | | 
% 244.26/48.41  | End of split
% 244.26/48.41  | 
% 244.26/48.41  End of proof
% 244.26/48.41  
% 244.26/48.41  Sub-proof #386 shows that the following formulas are inconsistent:
% 244.26/48.41  ----------------------------------------------------------------
% 244.26/48.41    (1)  all_25_9 = e10
% 244.26/48.41    (2)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 244.26/48.41             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 244.26/48.41           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.26/48.41    (3)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.26/48.41             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.26/48.41           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.41    (4)  op1(e11, e10) = all_14_23
% 244.26/48.41    (5)  op1(e12, e13) = all_14_7
% 244.26/48.41    (6)   ~ (e14 = e10)
% 244.26/48.41    (7)  op1(e10, e13) = all_14_9
% 244.26/48.41    (8)   ~ (all_14_22 = e10)
% 244.26/48.41    (9)  all_25_2 = e12
% 244.26/48.41    (10)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.26/48.41            = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.26/48.41            op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.26/48.41    (11)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 244.26/48.41              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 244.26/48.41            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.41    (12)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 244.26/48.41            op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.26/48.41              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 244.26/48.41            $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 244.26/48.41            &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 244.26/48.41            op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14)
% 244.26/48.41            = all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 244.26/48.41          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) &
% 244.26/48.41            op1(all_23_33, e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.26/48.41              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) &
% 244.26/48.41            $i(all_23_32) & $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10)
% 244.26/48.41            &  ~ (all_23_46 = all_23_47) & op1(all_23_47, e14) = all_23_6 &
% 244.26/48.41            op1(all_23_47, e10) = e14 & op1(e14, e10) = all_23_47 & op1(e10, e14)
% 244.26/48.41            = all_23_46 & $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.26/48.41          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) &
% 244.26/48.41            op1(all_23_10, e14) = e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.26/48.41              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_8) &
% 244.26/48.41            $i(all_23_10) & $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 =
% 244.26/48.41              e12) &  ~ (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12
% 244.26/48.41            & op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12,
% 244.26/48.41              e13) = all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 244.26/48.41          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 244.26/48.41            op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.26/48.41              e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 244.26/48.41            $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 244.26/48.41              e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16
% 244.26/48.41            & op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10,
% 244.26/48.41              e13) = all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 244.26/48.41          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 244.26/48.41            op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.26/48.41              e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 244.26/48.41            $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 244.26/48.41              e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 244.26/48.41            op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 244.26/48.41              e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 244.26/48.41          (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 244.26/48.41            op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.26/48.41              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 244.26/48.41            $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 244.26/48.41              e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28
% 244.26/48.41            & op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10,
% 244.26/48.41              e12) = all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 244.26/48.41          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 244.26/48.41            op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.26/48.41              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 244.26/48.41            $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 244.26/48.41              e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 244.26/48.41            op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 244.26/48.41              e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.26/48.41          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 244.26/48.41            op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.26/48.41              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 244.26/48.41            $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 244.26/48.41              e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42
% 244.26/48.41            & op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10,
% 244.26/48.41              e11) = all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 244.26/48.41          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 244.26/48.41            op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.26/48.41              e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 244.26/48.41            $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 244.26/48.41              e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 244.26/48.41            op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 244.26/48.41              e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.26/48.41          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 244.26/48.41            op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.26/48.41              e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 244.26/48.41            $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 244.26/48.41              e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 244.26/48.41            op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 244.26/48.41              e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.26/48.41    (13)  all_25_1 = e12
% 244.26/48.41    (14)  op1(e14, unit1) = e14
% 244.26/48.41    (15)  all_25_24 = e10
% 244.26/48.41    (16)   ~ (all_14_23 = e10)
% 244.26/48.41    (17)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13,
% 244.26/48.41              e11) = e13) | (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 =
% 244.26/48.41            e13 & op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10, e11) = e13)
% 244.26/48.41    (18)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.26/48.41              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.26/48.41            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.26/48.41    (19)  op1(e10, e14) = all_14_4
% 244.26/48.41    (20)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.26/48.41              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.26/48.41            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.41    (21)   ~ (all_14_15 = e13)
% 244.26/48.41    (22)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.26/48.41            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.26/48.41            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.26/48.41    (23)   ~ (all_14_7 = e12)
% 244.26/48.41    (24)   ~ (all_14_18 = all_14_19)
% 244.26/48.41    (25)  all_25_14 = e13
% 244.26/48.41    (26)   ~ (e12 = e11)
% 244.26/48.41    (27)   ~ (all_14_17 = all_14_19)
% 244.26/48.41    (28)   ~ (e14 = e11)
% 244.26/48.41    (29)  all_25_3 = e11
% 244.26/48.41    (30)   ~ (all_14_17 = all_14_18)
% 244.26/48.41    (31)  op1(e10, e13) = e13
% 244.26/48.41    (32)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.26/48.41            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.26/48.41            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.26/48.41    (33)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.26/48.41            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.26/48.41            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.26/48.41    (34)   ~ (e13 = e10)
% 244.26/48.41    (35)  op1(e11, e12) = all_14_13
% 244.26/48.41    (36)  op1(e11, e12) = e13
% 244.26/48.41    (37)   ~ (e14 = e13)
% 244.26/48.41    (38)   ~ (all_14_15 = e12)
% 244.26/48.41    (39)   ~ (all_14_17 = e14)
% 244.26/48.41    (40)   ~ (all_14_4 = e10)
% 244.26/48.41    (41)  op1(e14, e11) = all_14_15
% 244.26/48.41    (42)  op1(e13, unit1) = e13
% 244.26/48.41    (43)   ~ (all_14_10 = all_14_14)
% 244.26/48.41    (44)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 244.26/48.41            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 244.26/48.41            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.41    (45)  op1(e13, e11) = e14
% 244.26/48.41    (46)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.26/48.41              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.26/48.41            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.41    (47)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.26/48.41              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.26/48.41            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.41    (48)   ~ (all_14_17 = all_14_22)
% 244.26/48.41    (49)  all_25_21 = e13
% 244.26/48.41    (50)  op1(e11, e13) = all_14_8
% 244.26/48.41    (51)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.26/48.41              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.26/48.41            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.41    (52)  all_25_0 = e13
% 244.26/48.41    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.26/48.41    (54)  op1(e12, e10) = all_14_22
% 244.26/48.41    (55)   ~ (e13 = e11)
% 244.26/48.41    (56)  op1(e13, e12) = e10
% 244.26/48.41    (57)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.26/48.41              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.26/48.41            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.41    (58)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 244.26/48.41              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.26/48.41            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.26/48.41    (59)   ~ (all_14_17 = e10)
% 244.26/48.41    (60)  op1(e12, e11) = all_14_17
% 244.26/48.41    (61)   ~ (all_14_18 = e14)
% 244.26/48.41    (62)   ~ (e11 = e10)
% 244.26/48.41    (63)   ~ (all_14_13 = e10)
% 244.26/48.41    (64)   ~ (all_14_18 = e10)
% 244.26/48.41    (65)   ~ (all_14_13 = all_14_14)
% 244.26/48.41    (66)  op1(e12, e14) = all_14_2
% 244.26/48.41    (67)   ~ (e13 = e12)
% 244.26/48.41    (68)  op1(e13, e13) = e11
% 244.26/48.41    (69)  op1(e14, e11) = e10
% 244.26/48.41    (70)  op1(e11, e14) = all_14_3
% 244.26/48.41    (71)   ~ (e12 = e10)
% 244.26/48.41    (72)  all_25_10 = e14
% 244.26/48.41    (73)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 244.26/48.41            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 244.26/48.41            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.26/48.41    (74)   ~ (all_14_9 = e12)
% 244.26/48.41    (75)   ~ (all_14_19 = e14)
% 244.26/48.41    (76)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.26/48.41            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.26/48.41            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.41    (77)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.26/48.41            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.26/48.41            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.26/48.41    (78)   ~ (all_14_13 = all_14_23)
% 244.26/48.41    (79)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.26/48.41              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.26/48.41            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.41    (80)   ~ (all_14_19 = e13)
% 244.26/48.41    (81)  op1(e14, e10) = all_14_20
% 244.26/48.41    (82)   ~ (all_14_20 = e12)
% 244.26/48.41    (83)  op1(e13, e10) = e13
% 244.26/48.41    (84)  op1(e10, unit1) = e10
% 244.26/48.41    (85)   ~ (all_14_4 = e13)
% 244.26/48.41    (86)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.26/48.41    (87)  op1(unit1, e14) = e14
% 244.26/48.41    (88)  op1(e14, e12) = all_14_10
% 244.26/48.41    (89)   ~ (all_14_10 = e12)
% 244.26/48.41    (90)  op1(e11, e11) = all_14_18
% 244.26/48.41    (91)   ~ (all_14_20 = e10)
% 244.26/48.41    (92)   ~ (all_14_19 = e10)
% 244.26/48.41    (93)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.26/48.41            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.26/48.41            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.41    (94)  op1(unit1, e12) = e12
% 244.26/48.41    (95)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.26/48.41              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.26/48.41            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.26/48.41    (96)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.26/48.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.26/48.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.26/48.41    (97)  op1(e10, e11) = all_14_19
% 244.26/48.41    (98)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.26/48.41            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.26/48.41            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.41    (99)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 244.26/48.41            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 244.26/48.41            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.41    (100)  op1(e10, e12) = all_14_14
% 244.26/48.41    (101)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.26/48.41               e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19
% 244.26/48.41             = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 244.26/48.41             e12)
% 244.26/48.41    (102)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 244.26/48.41               e13) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 =
% 244.26/48.41             e10 & op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.26/48.41    (103)  op1(e13, e14) = e12
% 244.26/48.41    (104)   ~ (e14 = e12)
% 244.26/48.41    (105)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 244.26/48.41               e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 =
% 244.26/48.41             e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.26/48.41    (106)  op1(e14, e13) = e12
% 244.26/48.41    (107)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 244.26/48.41               e12) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 =
% 244.26/48.41             e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.26/48.41    (108)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 244.26/48.41               e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 244.26/48.41             e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.41    (109)  all_25_17 = e13
% 244.26/48.41  
% 244.26/48.41  Begin of proof
% 244.26/48.41  | 
% 244.26/48.41  | BETA: splitting (17) gives:
% 244.26/48.41  | 
% 244.26/48.41  | Case 1:
% 244.26/48.41  | | 
% 244.26/48.41  | |   (110)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 &
% 244.26/48.41  | |            op1(e13, e11) = e13)
% 244.26/48.41  | | 
% 244.26/48.41  | | REF_CLOSE: (21), (37), (41), (45), (53), (110) are inconsistent by sub-proof
% 244.26/48.41  | |            #1229.
% 244.26/48.41  | | 
% 244.26/48.41  | Case 2:
% 244.26/48.41  | | 
% 244.26/48.41  | |   (111)  (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 = e13 &
% 244.26/48.41  | |            op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10, e11) = e13)
% 244.26/48.41  | | 
% 244.26/48.41  | | BETA: splitting (111) gives:
% 244.26/48.41  | | 
% 244.26/48.41  | | Case 1:
% 244.26/48.41  | | | 
% 244.26/48.41  | | |   (112)  all_25_11 = e13 & op1(e12, e11) = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | ALPHA: (112) implies:
% 244.26/48.41  | | |   (113)  all_25_11 = e13
% 244.26/48.41  | | |   (114)  op1(e12, e11) = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | GROUND_INST: instantiating (53) with all_14_13, e13, e12, e11, simplifying
% 244.26/48.41  | | |              with (35), (36) gives:
% 244.26/48.41  | | |   (115)  all_14_13 = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | GROUND_INST: instantiating (53) with all_14_17, e13, e11, e12, simplifying
% 244.26/48.41  | | |              with (60), (114) gives:
% 244.26/48.41  | | |   (116)  all_14_17 = e13
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (65), (115) imply:
% 244.26/48.41  | | |   (117)   ~ (all_14_14 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | SIMP: (117) implies:
% 244.26/48.41  | | |   (118)   ~ (all_14_14 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (78), (115) imply:
% 244.26/48.41  | | |   (119)   ~ (all_14_23 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | SIMP: (119) implies:
% 244.26/48.41  | | |   (120)   ~ (all_14_23 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (30), (116) imply:
% 244.26/48.41  | | |   (121)   ~ (all_14_18 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | SIMP: (121) implies:
% 244.26/48.41  | | |   (122)   ~ (all_14_18 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (27), (116) imply:
% 244.26/48.41  | | |   (123)   ~ (all_14_19 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (48), (116) imply:
% 244.26/48.41  | | |   (124)   ~ (all_14_22 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | SIMP: (124) implies:
% 244.26/48.41  | | |   (125)   ~ (all_14_22 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | REDUCE: (39), (116) imply:
% 244.26/48.41  | | |   (126)   ~ (e14 = e13)
% 244.26/48.41  | | | 
% 244.26/48.41  | | | BETA: splitting (101) gives:
% 244.26/48.41  | | | 
% 244.26/48.41  | | | Case 1:
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | |   (127)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 244.26/48.41  | | | |            op1(e13, e10) = e12)
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | REF_CLOSE: (34), (42), (53), (56), (67), (81), (82), (84), (86), (88),
% 244.26/48.41  | | | |            (89), (92), (94), (97), (127) are inconsistent by sub-proof
% 244.26/48.41  | | | |            #1224.
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | Case 2:
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | |   (128)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 244.26/48.41  | | | |            op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 244.26/48.41  | | | |            e12)
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | BETA: splitting (128) gives:
% 244.26/48.41  | | | | 
% 244.26/48.41  | | | | Case 1:
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | |   (129)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | | ALPHA: (129) implies:
% 244.26/48.41  | | | | |   (130)  all_25_18 = e12
% 244.26/48.41  | | | | |   (131)  op1(e12, e10) = e12
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | | GROUND_INST: instantiating (53) with all_14_22, e12, e10, e12,
% 244.26/48.41  | | | | |              simplifying with (54), (131) gives:
% 244.26/48.41  | | | | |   (132)  all_14_22 = e12
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | | REDUCE: (125), (132) imply:
% 244.26/48.41  | | | | |   (133)   ~ (e13 = e12)
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | | BETA: splitting (2) gives:
% 244.26/48.41  | | | | | 
% 244.26/48.41  | | | | | Case 1:
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | |   (134)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12
% 244.26/48.41  | | | | | |            & op1(e11, e13) = e12)
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | | BETA: splitting (134) gives:
% 244.26/48.41  | | | | | | 
% 244.26/48.41  | | | | | | Case 1:
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | |   (135)  all_25_12 = e12 & op1(e11, e14) = e12
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | ALPHA: (135) implies:
% 244.26/48.41  | | | | | | |   (136)  all_25_12 = e12
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | BETA: splitting (57) gives:
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | |   (137)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 =
% 244.26/48.41  | | | | | | | |            e10 & op1(e11, e13) = e10)
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | BETA: splitting (137) gives:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (138)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (34), (37), (53),
% 244.26/48.41  | | | | | | | | |            (55), (56), (62), (67), (68), (71), (77), (96),
% 244.26/48.41  | | | | | | | | |            (104), (136), (138) are inconsistent by sub-proof
% 244.26/48.41  | | | | | | | | |            #1215.
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (139)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | ALPHA: (139) implies:
% 244.26/48.41  | | | | | | | | |   (140)  all_25_13 = e10
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (13), (14),
% 244.26/48.41  | | | | | | | | |            (15), (18), (20), (22), (25), (26), (28), (29),
% 244.26/48.41  | | | | | | | | |            (31), (34), (37), (38), (41), (42), (44), (45),
% 244.26/48.41  | | | | | | | | |            (46), (47), (49), (51), (52), (53), (55), (56),
% 244.26/48.41  | | | | | | | | |            (58), (61), (62), (67), (68), (71), (72), (74),
% 244.26/48.41  | | | | | | | | |            (75), (76), (77), (79), (80), (84), (86), (87),
% 244.26/48.41  | | | | | | | | |            (88), (89), (90), (92), (93), (94), (95), (96),
% 244.26/48.41  | | | | | | | | |            (97), (98), (100), (103), (104), (109), (113),
% 244.26/48.41  | | | | | | | | |            (118), (130), (131), (136), (140) are inconsistent
% 244.26/48.41  | | | | | | | | |            by sub-proof #420.
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | |   (141)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.26/48.41  | | | | | | | |            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 244.26/48.41  | | | | | | | |            op1(e11, e10) = e10)
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | BETA: splitting (141) gives:
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (142)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | ALPHA: (142) implies:
% 244.26/48.41  | | | | | | | | |   (143)  op1(e11, e12) = e10
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | REF_CLOSE: (35), (53), (63), (143) are inconsistent by
% 244.26/48.41  | | | | | | | | |            sub-proof #1158.
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | |   (144)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19
% 244.26/48.41  | | | | | | | | |            = e10 & op1(e11, e10) = e10)
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | BETA: splitting (144) gives:
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | Case 1:
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | |   (145)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | ALPHA: (145) implies:
% 244.26/48.41  | | | | | | | | | |   (146)  all_25_15 = e10
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (18), (22), (26), (28),
% 244.26/48.41  | | | | | | | | | |            (34), (37), (38), (41), (45), (53), (55), (56),
% 244.26/48.41  | | | | | | | | | |            (62), (67), (68), (71), (72), (77), (96), (104),
% 244.26/48.41  | | | | | | | | | |            (113), (146) are inconsistent by sub-proof #421.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | Case 2:
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | |   (147)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | ALPHA: (147) implies:
% 244.26/48.41  | | | | | | | | | |   (148)  all_25_19 = e10
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (34), (37),
% 244.26/48.41  | | | | | | | | | |            (45), (46), (51), (53), (55), (56), (62), (67),
% 244.26/48.41  | | | | | | | | | |            (68), (104), (109), (130), (131), (148) are
% 244.26/48.41  | | | | | | | | | |            inconsistent by sub-proof #448.
% 244.26/48.41  | | | | | | | | | | 
% 244.26/48.41  | | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | | 
% 244.26/48.41  | | | | | | | | End of split
% 244.26/48.41  | | | | | | | | 
% 244.26/48.41  | | | | | | | End of split
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | Case 2:
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | |   (149)  all_25_13 = e12 & op1(e11, e13) = e12
% 244.26/48.41  | | | | | | | 
% 244.26/48.41  | | | | | | | ALPHA: (149) implies:
% 244.26/48.41  | | | | | | |   (150)  all_25_13 = e12
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | | REF_CLOSE: (6), (9), (10), (13), (22), (26), (28), (29), (31),
% 244.26/48.42  | | | | | | |            (34), (37), (49), (53), (55), (56), (62), (67), (68),
% 244.26/48.42  | | | | | | |            (71), (77), (93), (96), (98), (104), (109), (150) are
% 244.26/48.42  | | | | | | |            inconsistent by sub-proof #471.
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | End of split
% 244.26/48.42  | | | | | | 
% 244.26/48.42  | | | | | Case 2:
% 244.26/48.42  | | | | | | 
% 244.26/48.42  | | | | | |   (151)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 = e12
% 244.26/48.42  | | | | | |            & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10)
% 244.26/48.42  | | | | | |            = e12)
% 244.26/48.42  | | | | | | 
% 244.26/48.42  | | | | | | BETA: splitting (151) gives:
% 244.26/48.42  | | | | | | 
% 244.26/48.42  | | | | | | Case 1:
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | |   (152)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | | REF_CLOSE: (25), (67), (152) are inconsistent by sub-proof #478.
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | Case 2:
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | |   (153)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 =
% 244.26/48.42  | | | | | | |            e12 & op1(e11, e10) = e12)
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | | BETA: splitting (153) gives:
% 244.26/48.42  | | | | | | | 
% 244.26/48.42  | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | 
% 244.26/48.42  | | | | | | | |   (154)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.26/48.42  | | | | | | | | 
% 244.26/48.42  | | | | | | | | ALPHA: (154) implies:
% 244.26/48.42  | | | | | | | |   (155)  all_25_15 = e12
% 244.26/48.42  | | | | | | | |   (156)  op1(e11, e11) = e12
% 244.26/48.42  | | | | | | | | 
% 244.26/48.42  | | | | | | | | BETA: splitting (73) gives:
% 244.26/48.42  | | | | | | | | 
% 244.26/48.42  | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | |   (157)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 =
% 244.26/48.42  | | | | | | | | |            e12 & op1(e13, e12) = e12)
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | REF_CLOSE: (53), (56), (71), (88), (89), (157) are
% 244.26/48.42  | | | | | | | | |            inconsistent by sub-proof #1081.
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | |   (158)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 =
% 244.26/48.42  | | | | | | | | |            e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 244.26/48.42  | | | | | | | | |            op1(e10, e12) = e12)
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | BETA: splitting (158) gives:
% 244.26/48.42  | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | |   (159)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | ALPHA: (159) implies:
% 244.26/48.42  | | | | | | | | | |   (160)  all_25_8 = e12
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | BETA: splitting (11) gives:
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | |   (161)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | REF_CLOSE: (1), (28), (62), (72), (161) are inconsistent by
% 244.26/48.42  | | | | | | | | | | |            sub-proof #419.
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | |   (162)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | BETA: splitting (162) gives:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | |   (163)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | REF_CLOSE: (55), (113), (163) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | |            #423.
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | |   (164)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | BETA: splitting (164) gives:
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | |   (165)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | REF_CLOSE: (26), (155), (165) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | |            #418.
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | |   (166)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | ALPHA: (166) implies:
% 244.26/48.42  | | | | | | | | | | | | |   (167)  all_25_23 = e11
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | BETA: splitting (58) gives:
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | |   (168)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (169)  all_25_20 = e12 & op1(e10, e14) = e12
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 244.26/48.42  | | | | | | | | | | | | | | |   (170)  all_25_20 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (171)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REF_CLOSE: (31), (37), (53), (104), (170), (171) are
% 244.26/48.42  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #417.
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (172)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | |   (173)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | |   (174)  all_25_22 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (175)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 244.26/48.42  | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (176)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (29), (33),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (34), (37), (39), (53), (55), (56), (60), (62),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (67), (68), (71), (77), (96), (102), (104), (109),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (113), (130), (160), (176) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            sub-proof #414.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (177)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (178)  all_25_7 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (179)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (180)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (181)  all_25_1 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (181) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (182)  e14 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (183)  e14 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (183) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (184)  all_25_22 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (33), (34), (35),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (37), (38), (39), (41), (45), (46), (47), (49),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (51), (53), (55), (56), (57), (60), (62), (63),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (67), (68), (71), (72), (75), (77), (79), (80),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (93), (95), (96), (97), (98), (100), (102), (104),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (108), (109), (113), (118), (130), (131), (155),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (160), (184) are inconsistent by sub-proof #407.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (185)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (185) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            #1291.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (186)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (187)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (188)  all_25_7 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (178), (188) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            #1114.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (189)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (190)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_25_13 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_25_12 = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (13), (22), (26), (28), (29),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (49), (53), (55), (56), (62),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (68), (71), (77), (93), (96), (98), (104),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (194), (195) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |            #413.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (55), (197) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            #477.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (155), (199) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_25_19 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (13), (22), (26), (28), (34),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (53), (55), (56), (62), (67), (68), (71),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (96), (104), (202) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1279.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (34), (37),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (51), (53), (55), (56), (62), (67),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (104), (109), (130), (131), (178), (201),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204) are inconsistent by sub-proof #412.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_25_13 = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (191), (207) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (28), (29), (34), (37), (49),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (56), (67), (68), (96), (104), (109),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208) are inconsistent by sub-proof #934.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (191), (209) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            #1159.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (15), (18), (22), (26),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |            (28), (34), (35), (37), (38), (41), (45), (46),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |            (51), (53), (55), (56), (62), (63), (67), (68),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |            (71), (72), (77), (96), (104), (109), (113),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (210) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |            #410.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (211)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (212)  op1(e10, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (37), (53), (212) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (213)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (214)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (160), (214) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            #1079.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (215)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (53), (55), (113), (131), (215) are
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #408.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | |   (216)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (53), (75), (97), (216) are
% 244.26/48.42  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1207.
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (217)  all_25_21 = e12 & op1(e10, e13) = e12
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | REF_CLOSE: (7), (53), (74), (217) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | |            sub-proof #1265.
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | |   (218)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (219)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 244.26/48.42  | | | | | | | | | | | | | | |   (220)  all_25_22 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.42  | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (33), (34), (35),
% 244.26/48.42  | | | | | | | | | | | | | | |            (37), (38), (39), (41), (45), (46), (47), (49),
% 244.26/48.42  | | | | | | | | | | | | | | |            (51), (53), (55), (56), (57), (60), (62), (63),
% 244.26/48.42  | | | | | | | | | | | | | | |            (67), (68), (71), (72), (75), (77), (79), (80),
% 244.26/48.42  | | | | | | | | | | | | | | |            (93), (95), (96), (97), (98), (100), (102), (104),
% 244.26/48.42  | | | | | | | | | | | | | | |            (108), (109), (113), (118), (130), (131), (155),
% 244.26/48.42  | | | | | | | | | | | | | | |            (160), (220) are inconsistent by sub-proof #407.
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (221)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.26/48.42  | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (222)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REF_CLOSE: (26), (167), (222) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | |            #1035.
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (223)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (22), (26), (28), (34),
% 244.26/48.42  | | | | | | | | | | | | | | | |            (37), (53), (55), (56), (62), (67), (68), (71),
% 244.26/48.42  | | | | | | | | | | | | | | | |            (77), (96), (104), (223) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | | |            sub-proof #1261.
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | |   (224)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.26/48.42  | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | BETA: splitting (224) gives:
% 244.26/48.42  | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | |   (225)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | REF_CLOSE: (25), (67), (225) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | |            #478.
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | |   (226)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | ALPHA: (226) implies:
% 244.26/48.42  | | | | | | | | | | |   (227)  all_25_22 = e12
% 244.26/48.42  | | | | | | | | | | |   (228)  op1(e10, e12) = e12
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | BETA: splitting (79) gives:
% 244.26/48.42  | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | |   (229)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.26/48.42  | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.26/48.42  | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | |   (230)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | ALPHA: (230) implies:
% 244.26/48.42  | | | | | | | | | | | | |   (231)  all_25_20 = e14
% 244.26/48.42  | | | | | | | | | | | | |   (232)  op1(e10, e14) = e14
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | BETA: splitting (11) gives:
% 244.26/48.42  | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | |   (233)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | REF_CLOSE: (1), (28), (62), (72), (233) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | |            sub-proof #983.
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | |   (234)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 244.26/48.42  | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (235)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | REF_CLOSE: (55), (113), (235) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | |            #423.
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | |   (236)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (237)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REF_CLOSE: (26), (155), (237) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | |            #418.
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | |   (238)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (239)  op1(e10, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with all_14_19, e11, e11, e10,
% 244.26/48.42  | | | | | | | | | | | | | | | |              simplifying with (97), (239) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (240)  all_14_19 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with all_14_14, e12, e12, e10,
% 244.26/48.42  | | | | | | | | | | | | | | | |              simplifying with (100), (228) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (241)  all_14_14 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with all_14_4, e14, e14, e10,
% 244.26/48.42  | | | | | | | | | | | | | | | |              simplifying with (19), (232) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (242)  all_14_4 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with all_14_18, e12, e11, e11,
% 244.26/48.42  | | | | | | | | | | | | | | | |              simplifying with (90), (156) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (243)  all_14_18 = e12
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REDUCE: (61), (243) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (244)   ~ (e14 = e12)
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REDUCE: (75), (240) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (245)   ~ (e14 = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | REDUCE: (80), (240) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | |   (246)   ~ (e13 = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | |   (247)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.42  | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (248)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (249)  all_25_12 = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (250)  op1(e11, e14) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (251)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (13), (22), (26), (28), (29),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (49), (53), (55), (56), (62),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (67), (68), (71), (77), (93), (96), (98), (104),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            (109), (249), (251) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            #413.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (252)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (253)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (55), (253) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |            #477.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (254)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (255)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (155), (255) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            #418.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (256)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (257)  all_25_19 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (258)  op1(e11, e10) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (9), (10), (12), (13), (15),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (28), (29), (31), (32),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (34), (36), (37), (45), (46), (49), (50), (51),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (61), (62), (66), (67),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (68), (69), (70), (71), (75), (76), (77), (79),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (81), (83), (88), (90), (91), (93), (96), (97),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (98), (103), (104), (106), (109), (114), (130),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (131), (227), (228), (231), (232), (239), (249),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            (250), (257), (258) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |            #402.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (259)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | |   (260)  all_25_13 = e10
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (261)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (262)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (104), (262) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |            #1292.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (263)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (263) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |            #1291.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |   (264)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (265)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | |   (266)  all_25_7 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |   (267)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (268)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | |   (269)  all_25_12 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |   (270)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_25_12 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (272) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (273)  e14 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (273) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_25_7 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (34), (35), (37),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (38), (41), (45), (46), (47), (49), (51), (53),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (57), (62), (63), (67), (68), (71),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (77), (79), (80), (93), (95), (96),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (104), (109), (113), (118),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (155), (227), (231), (274) are
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #409.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_25_13 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (13), (22), (26), (28), (29),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (49), (53), (55), (56), (62),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (67), (68), (71), (77), (93), (96), (98), (104),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            (109), (276) are inconsistent by sub-proof #446.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |   (277)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (55), (278) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |            #477.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (155), (280) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_25_19 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  op1(e11, e10) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_25_16 = e14 & op1(e14, e10) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  op1(e14, e10) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (55), (288) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (26), (289) are inconsistent by sub-proof
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_25_4 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_25_4 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (295) imply:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e14 = e11
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (34), (35), (37),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (41), (45), (46), (47), (49), (51), (53),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (57), (62), (63), (67), (68), (71),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (77), (79), (80), (93), (95), (96),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (104), (109), (113), (118),
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (155), (227), (231), (266), (296)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #401.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  op1(e13, e12) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (53), (56), (298) are inconsistent by
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_25_8 = e14
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_25_6 = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (29), (34),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (52), (53), (55), (56), (62), (67), (68),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (71), (77), (96), (104), (109), (305) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #427.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_25_6 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (308) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  e11 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (309) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_25_19 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (34), (37),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (51), (53), (55), (56), (62), (67),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (104), (109), (130), (131), (310) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #448.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_25_12 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  op1(e11, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (9), (10), (12), (13), (15),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (28), (29), (31), (32),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (36), (37), (45), (46), (49), (50), (51),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (61), (62), (66), (67),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (70), (71), (75), (76), (77), (79),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (83), (88), (90), (91), (93), (96), (97),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (103), (104), (106), (109), (114), (130),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (227), (228), (231), (232), (239), (282),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (283), (313), (314) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #402.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_25_20 = e10 & op1(e10, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_25_20 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (31), (37), (53), (75), (79), (97),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (227), (316) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1205.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_25_7 = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (34), (35), (37),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (41), (45), (46), (47), (49), (51), (53),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (57), (62), (63), (67), (68), (71),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (77), (79), (80), (93), (95), (96),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (104), (109), (113), (118),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (155), (227), (231), (318) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #409.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_25_8 = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (321) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  e14 = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (322) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_25_7 = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (15), (18), (22),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (29), (31), (34), (35), (37),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (41), (45), (46), (47), (49), (51), (53),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (57), (62), (63), (67), (68), (71),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (77), (79), (80), (93), (95), (96),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (104), (109), (113), (118),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (155), (227), (231), (323) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #409.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (53), (55), (113), (131), (324) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #408.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (25), (28), (29), (31), (37), (53),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (104), (260), (266), (326) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #469.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_25_22 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (328) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  e14 = e12
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  e14 = e12
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (330) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_25_12 = e12
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (13), (14),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15), (18), (20), (22), (25), (26), (28), (29),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (38), (41), (42), (44), (45),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (49), (51), (52), (53), (55), (56),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (61), (62), (67), (68), (71), (72), (74),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (76), (77), (79), (80), (84), (86), (87),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (90), (92), (93), (94), (95), (96),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (103), (104), (109), (113),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (130), (131), (260), (331) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #420.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (15), (26), (28), (34), (37),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (51), (53), (55), (56), (62), (67),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (104), (109), (130), (131), (282), (333) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #404.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  op1(e14, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (53), (286), (335) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #917.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_25_17 = e14 & op1(e13, e10) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (34), (37), (45), (53), (55), (56),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (68), (336) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1136.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_25_18 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (339) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  e14 = e12
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (340) imply:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_25_12 = e12
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (13), (14),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15), (18), (20), (22), (25), (26), (28), (29),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (37), (38), (41), (42), (44), (45),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (47), (49), (51), (52), (53), (55), (56),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (61), (62), (67), (68), (71), (72), (74),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (76), (77), (79), (80), (84), (86), (87),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (90), (92), (93), (94), (95), (96),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (98), (100), (103), (104), (109), (113),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (130), (131), (260), (341) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #420.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (343) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_25_19 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (14), (15), (18),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (25), (26), (28), (29), (31), (34), (35),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (41), (42), (45), (46), (47), (49),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (53), (55), (56), (57), (62), (63), (67),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (71), (72), (75), (77), (79), (80), (84),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (92), (93), (95), (96), (97), (98), (100),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (109), (113), (118), (130), (131),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (227), (231), (266), (344) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #400.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_25_24 = e14 & op1(e10, e10) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (31), (37), (53), (75), (79), (97),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (227), (231), (345) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1135.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |   (346)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |   (347)  all_25_13 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (31), (37), (53), (75), (79), (97),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |            (104), (227), (231), (260), (347) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #411.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |   (348)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |   (349)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (25), (28), (29), (31), (37), (53),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |            (98), (104), (260), (266), (349) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #469.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |   (352)  op1(e11, e11) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (61), (90), (352) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_25_19 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (13), (14), (15), (18),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (22), (25), (26), (28), (29), (31), (34), (35),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (37), (38), (41), (42), (45), (46), (47), (49),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (51), (53), (55), (56), (57), (62), (63), (67),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (68), (71), (72), (75), (77), (79), (80), (84),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (86), (92), (93), (95), (96), (97), (98), (100),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (109), (113), (118), (130), (131),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            (155), (227), (231), (266), (354) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #400.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | |   (355)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |   (356)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |   (357)  all_25_13 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (31), (37), (53), (75), (79), (97),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |            (104), (227), (231), (260), (357) are inconsistent
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #411.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |   (358)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |   (359)  op1(e10, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (28), (29), (34), (37),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |            (53), (55), (56), (67), (68), (80), (95), (96),
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |            (97), (100), (104), (109), (118), (231), (359) are
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1182.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (360)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (15), (18), (22), (26),
% 244.26/48.43  | | | | | | | | | | | | | | | | |            (28), (34), (35), (37), (38), (41), (45), (46),
% 244.26/48.43  | | | | | | | | | | | | | | | | |            (51), (53), (55), (56), (62), (63), (67), (68),
% 244.26/48.43  | | | | | | | | | | | | | | | | |            (71), (72), (77), (96), (104), (109), (113),
% 244.26/48.43  | | | | | | | | | | | | | | | | |            (130), (131), (360) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | |            #410.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (361)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | ALPHA: (361) implies:
% 244.26/48.43  | | | | | | | | | | | | |   (362)  op1(e10, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | REF_CLOSE: (31), (37), (53), (362) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | |            sub-proof #1274.
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | |   (363)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.26/48.43  | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.26/48.43  | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | BETA: splitting (363) gives:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (364)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | REF_CLOSE: (104), (227), (364) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | |            #476.
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (365)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.26/48.43  | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | REF_CLOSE: (6), (15), (53), (75), (97), (365) are
% 244.26/48.43  | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | |   (366)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | ALPHA: (366) implies:
% 244.26/48.43  | | | | | | | |   (367)  all_25_19 = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (34), (37), (45),
% 244.26/48.43  | | | | | | | |            (46), (51), (53), (55), (56), (62), (67), (68),
% 244.26/48.43  | | | | | | | |            (104), (109), (130), (131), (367) are inconsistent by
% 244.26/48.43  | | | | | | | |            sub-proof #454.
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | End of split
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | End of split
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | End of split
% 244.26/48.43  | | | | | 
% 244.26/48.43  | | | | Case 2:
% 244.26/48.43  | | | | | 
% 244.26/48.43  | | | | |   (368)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 244.26/48.43  | | | | |            op1(e10, e10) = e12)
% 244.26/48.43  | | | | | 
% 244.26/48.43  | | | | | BETA: splitting (368) gives:
% 244.26/48.43  | | | | | 
% 244.26/48.43  | | | | | Case 1:
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | |   (369)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | | ALPHA: (369) implies:
% 244.26/48.43  | | | | | |   (370)  all_25_19 = e12
% 244.26/48.43  | | | | | |   (371)  op1(e11, e10) = e12
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | | GROUND_INST: instantiating (53) with all_14_23, e12, e10, e11,
% 244.26/48.43  | | | | | |              simplifying with (4), (371) gives:
% 244.26/48.43  | | | | | |   (372)  all_14_23 = e12
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | | REDUCE: (120), (372) imply:
% 244.26/48.43  | | | | | |   (373)   ~ (e13 = e12)
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | | BETA: splitting (105) gives:
% 244.26/48.43  | | | | | | 
% 244.26/48.43  | | | | | | Case 1:
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | |   (374)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12
% 244.26/48.43  | | | | | | |            & op1(e12, e13) = e12)
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | | BETA: splitting (374) gives:
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | |   (375)  all_25_6 = e12 & op1(e12, e14) = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | ALPHA: (375) implies:
% 244.26/48.43  | | | | | | | |   (376)  all_25_6 = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | BETA: splitting (44) gives:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | |   (377)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 =
% 244.26/48.43  | | | | | | | | |            e10 & op1(e13, e14) = e10)
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (29), (34), (37),
% 244.26/48.43  | | | | | | | | |            (52), (53), (55), (56), (62), (67), (68), (71),
% 244.26/48.43  | | | | | | | | |            (77), (96), (104), (109), (377) are inconsistent by
% 244.26/48.43  | | | | | | | | |            sub-proof #427.
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | |   (378)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 =
% 244.26/48.43  | | | | | | | | |            e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 244.26/48.43  | | | | | | | | |            op1(e10, e14) = e10)
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | BETA: splitting (378) gives:
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | |   (379)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (34), (37),
% 244.26/48.43  | | | | | | | | | |            (53), (55), (56), (62), (67), (68), (71), (77),
% 244.26/48.43  | | | | | | | | | |            (96), (104), (376), (379) are inconsistent by
% 244.26/48.43  | | | | | | | | | |            sub-proof #978.
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | |   (380)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.43  | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | BETA: splitting (380) gives:
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | |   (381)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | ALPHA: (381) implies:
% 244.26/48.43  | | | | | | | | | | |   (382)  all_25_12 = e10
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (29), (34),
% 244.26/48.43  | | | | | | | | | | |            (37), (42), (52), (53), (55), (56), (62), (67),
% 244.26/48.43  | | | | | | | | | | |            (68), (75), (76), (79), (80), (84), (86), (87),
% 244.26/48.43  | | | | | | | | | | |            (92), (94), (95), (96), (97), (100), (103), (104),
% 244.26/48.43  | | | | | | | | | | |            (109), (118), (376), (382) are inconsistent by
% 244.26/48.43  | | | | | | | | | | |            sub-proof #399.
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | |   (383)  all_25_20 = e10 & op1(e10, e14) = e10
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | ALPHA: (383) implies:
% 244.26/48.43  | | | | | | | | | | |   (384)  all_25_20 = e10
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (15), (22),
% 244.26/48.43  | | | | | | | | | | |            (26), (28), (29), (31), (34), (37), (42), (49),
% 244.26/48.43  | | | | | | | | | | |            (53), (55), (56), (58), (62), (67), (68), (71),
% 244.26/48.43  | | | | | | | | | | |            (72), (74), (75), (77), (79), (80), (84), (86),
% 244.26/48.43  | | | | | | | | | | |            (87), (88), (89), (92), (94), (95), (96), (97),
% 244.26/48.43  | | | | | | | | | | |            (100), (103), (104), (109), (113), (118), (384)
% 244.26/48.43  | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | |   (385)  all_25_7 = e12 & op1(e12, e13) = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | ALPHA: (385) implies:
% 244.26/48.43  | | | | | | | |   (386)  op1(e12, e13) = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | REF_CLOSE: (5), (23), (53), (386) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | |            #1296.
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | End of split
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | Case 2:
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | |   (387)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12
% 244.26/48.43  | | | | | | |            & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12,
% 244.26/48.43  | | | | | | |              e10) = e12)
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | | BETA: splitting (387) gives:
% 244.26/48.43  | | | | | | | 
% 244.26/48.43  | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | |   (388)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | ALPHA: (388) implies:
% 244.26/48.43  | | | | | | | |   (389)  all_25_8 = e12
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | BETA: splitting (58) gives:
% 244.26/48.43  | | | | | | | | 
% 244.26/48.43  | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | |   (390)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21
% 244.26/48.43  | | | | | | | | |            = e12 & op1(e10, e13) = e12)
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | BETA: splitting (390) gives:
% 244.26/48.43  | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | |   (391)  all_25_20 = e12 & op1(e10, e14) = e12
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | ALPHA: (391) implies:
% 244.26/48.43  | | | | | | | | | |   (392)  op1(e10, e14) = e12
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | BETA: splitting (76) gives:
% 244.26/48.43  | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | |   (393)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 244.26/48.43  | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | BETA: splitting (393) gives:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | |   (394)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | REF_CLOSE: (52), (55), (394) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | |            #1241.
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | |   (395)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | REF_CLOSE: (9), (26), (395) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | |            #1189.
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | |   (396)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 244.26/48.43  | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.43  | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | BETA: splitting (396) gives:
% 244.26/48.43  | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | |   (397)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | ALPHA: (397) implies:
% 244.26/48.43  | | | | | | | | | | | |   (398)  all_25_6 = e11
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | BETA: splitting (102) gives:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (399)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 244.26/48.43  | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | BETA: splitting (399) gives:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | |   (400)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | REF_CLOSE: (62), (398), (400) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | |            #1006.
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | |   (401)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | ALPHA: (401) implies:
% 244.26/48.43  | | | | | | | | | | | | | |   (402)  all_25_7 = e10
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (15), (26), (28), (33), (34), (39),
% 244.26/48.43  | | | | | | | | | | | | | |            (42), (46), (53), (55), (56), (60), (62), (67),
% 244.26/48.43  | | | | | | | | | | | | | |            (84), (86), (92), (97), (103), (104), (109),
% 244.26/48.43  | | | | | | | | | | | | | |            (370), (389), (398), (402) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | |            sub-proof #394.
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (403)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 244.26/48.43  | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 244.26/48.43  | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | BETA: splitting (403) gives:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | |   (404)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (34), (37),
% 244.26/48.43  | | | | | | | | | | | | | |            (53), (55), (56), (62), (67), (68), (71), (77),
% 244.26/48.43  | | | | | | | | | | | | | |            (96), (104), (389), (404) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | |            sub-proof #416.
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | |   (405)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | |   (406)  all_25_11 = e10 & op1(e12, e11) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (28), (29), (34), (37), (53),
% 244.26/48.43  | | | | | | | | | | | | | | |            (55), (56), (67), (68), (96), (104), (109), (113),
% 244.26/48.43  | | | | | | | | | | | | | | |            (406) are inconsistent by sub-proof #415.
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | |   (407)  all_25_18 = e10 & op1(e12, e10) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 244.26/48.43  | | | | | | | | | | | | | | |   (408)  all_25_18 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | |   (409)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | BETA: splitting (409) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (410)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | ALPHA: (410) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (411)  op1(e14, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (26), (34), (42), (53), (56), (84), (86),
% 244.26/48.43  | | | | | | | | | | | | | | | | |            (87), (88), (89), (92), (94), (97), (392), (411)
% 244.26/48.43  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1156.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (412)  all_25_17 = e11 & op1(e13, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (109), (412) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | |            #940.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | |   (413)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (414)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (408), (414) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | |            #393.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (415)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 244.26/48.43  | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | |   (416)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (370), (416) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | | |            #1046.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | |   (417)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (62), (417) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | | |            #1201.
% 244.26/48.43  | | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | |   (418)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.43  | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | BETA: splitting (418) gives:
% 244.26/48.43  | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | |   (419)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | ALPHA: (419) implies:
% 244.26/48.43  | | | | | | | | | | | | |   (420)  all_25_12 = e11
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | BETA: splitting (20) gives:
% 244.26/48.43  | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | |   (421)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 244.26/48.43  | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14)
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 244.26/48.43  | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | |   (422)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | REF_CLOSE: (28), (420), (422) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | |            #1183.
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | |   (423)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | ALPHA: (423) implies:
% 244.26/48.43  | | | | | | | | | | | | | | |   (424)  all_25_13 = e14
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | |   (425)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (426)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | ALPHA: (426) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (427)  all_25_12 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (420), (427) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | |            #1177.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (428)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (429)  all_25_13 = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (424), (429) are inconsistent by sub-proof
% 244.26/48.43  | | | | | | | | | | | | | | | | |            #1275.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | End of split
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | |   (430)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.43  | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 244.26/48.43  | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (431)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (432)  op1(e11, e12) = e10
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (53), (63), (432) are inconsistent by
% 244.26/48.43  | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.43  | | | | | | | | | | | | | | | | | 
% 244.26/48.43  | | | | | | | | | | | | | | | | |   (433)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (434)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (435)  all_25_15 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (9), (10), (11), (18), (22), (26), (28),
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            (34), (37), (38), (41), (45), (53), (55), (56),
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            (62), (67), (68), (71), (72), (77), (96), (104),
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            (113), (435) are inconsistent by sub-proof #421.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (436)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (437)  all_25_19 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (34), (37),
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            (53), (55), (56), (62), (67), (68), (71), (77),
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            (96), (104), (370), (437) are inconsistent by
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            sub-proof #1071.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | |   (438)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | |          (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | |   (439)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | REF_CLOSE: (25), (37), (439) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | |            #461.
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | |   (440)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | REF_CLOSE: (53), (61), (90), (104), (370), (440) are
% 244.26/48.44  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1075.
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | |   (441)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | ALPHA: (441) implies:
% 244.26/48.44  | | | | | | | | | | | | |   (442)  all_25_20 = e11
% 244.26/48.44  | | | | | | | | | | | | |   (443)  op1(e10, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (29), (34),
% 244.26/48.44  | | | | | | | | | | | | |            (37), (42), (53), (55), (56), (67), (68), (75),
% 244.26/48.44  | | | | | | | | | | | | |            (79), (80), (84), (86), (87), (92), (94), (95),
% 244.26/48.44  | | | | | | | | | | | | |            (96), (97), (100), (103), (104), (109), (118),
% 244.26/48.44  | | | | | | | | | | | | |            (442), (443) are inconsistent by sub-proof #947.
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (444)  all_25_21 = e12 & op1(e10, e13) = e12
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REF_CLOSE: (7), (53), (74), (444) are inconsistent by
% 244.26/48.44  | | | | | | | | | |            sub-proof #1265.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (445)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23
% 244.26/48.44  | | | | | | | | |            = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 244.26/48.44  | | | | | | | | |            op1(e10, e10) = e12)
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | BETA: splitting (445) gives:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (446)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | ALPHA: (446) implies:
% 244.26/48.44  | | | | | | | | | |   (447)  all_25_22 = e12
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REF_CLOSE: (6), (25), (26), (28), (34), (37), (42), (53),
% 244.26/48.44  | | | | | | | | | |            (55), (56), (62), (84), (86), (88), (89), (92),
% 244.26/48.44  | | | | | | | | | |            (94), (97), (99), (104), (107), (389), (447) are
% 244.26/48.44  | | | | | | | | | |            inconsistent by sub-proof #460.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (448)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.26/48.44  | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | BETA: splitting (448) gives:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | |   (449)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | ALPHA: (449) implies:
% 244.26/48.44  | | | | | | | | | | |   (450)  all_25_23 = e12
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | BETA: splitting (11) gives:
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | |   (451)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.26/48.44  | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | REF_CLOSE: (1), (28), (62), (72), (451) are inconsistent by
% 244.26/48.44  | | | | | | | | | | | |            sub-proof #419.
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | |   (452)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.26/48.44  | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.44  | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | BETA: splitting (452) gives:
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | |   (453)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | REF_CLOSE: (55), (113), (453) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | |            #423.
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | |   (454)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.26/48.44  | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | BETA: splitting (454) gives:
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | |   (455)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | ALPHA: (455) implies:
% 244.26/48.44  | | | | | | | | | | | | | |   (456)  all_25_15 = e11
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | |   (457)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | |   (458)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | |   (459)  all_25_12 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (9), (10), (11), (13), (14), (15),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (28), (29), (32), (33),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (34), (37), (39), (42), (45), (46), (49), (51),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (60), (61), (62), (67),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (68), (71), (72), (75), (76), (77), (79), (80),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (84), (86), (87), (88), (89), (90), (92), (93),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (94), (95), (96), (97), (99), (100), (103), (104),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (109), (113), (118), (370), (389), (450), (456),
% 244.26/48.44  | | | | | | | | | | | | | | | |            (459) are inconsistent by sub-proof #392.
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | |   (460)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | ALPHA: (460) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | |   (461)  all_25_13 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | |   (462)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14)
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (463)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (464)  all_25_12 = e14
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |   (465)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (29), (34),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |            (37), (52), (53), (55), (56), (62), (67), (68),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |            (71), (77), (96), (104), (109), (465) are
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #427.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |   (466)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | |   (467)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | ALPHA: (467) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | |   (468)  all_25_6 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (469)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (470)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (55), (470) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (471)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (26), (471) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (472)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (473)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (474)  all_25_6 = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (474) imply:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (475)  e11 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (26), (28), (55), (62), (72), (113),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |            (450), (456), (475) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |            #398.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |   (476)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (464), (477) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |            #391.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_25_20 = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |   (480)  op1(e10, e14) = e11
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (29), (34),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |            (37), (42), (53), (55), (56), (67), (68), (75),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |            (79), (80), (84), (86), (87), (92), (94), (95),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |            (96), (97), (100), (103), (104), (109), (118),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | |            (479), (480) are inconsistent by sub-proof #947.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | |   (481)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (482)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (483)  all_25_12 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (9), (10), (11), (13), (14), (15),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (20), (22), (25), (26), (28), (29), (32), (33),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (34), (37), (39), (42), (45), (46), (49), (51),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (60), (61), (62), (67),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (68), (71), (72), (75), (76), (77), (79), (80),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (84), (86), (87), (88), (89), (90), (92), (93),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (94), (95), (96), (97), (99), (100), (103), (104),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (109), (113), (118), (370), (389), (450), (456),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (483) are inconsistent by sub-proof #392.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (484)  all_25_20 = e10 & op1(e10, e14) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |   (485)  all_25_20 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (15), (22),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (26), (28), (29), (31), (34), (37), (42), (49),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (53), (55), (56), (58), (62), (67), (68), (71),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (72), (74), (75), (77), (79), (80), (84), (86),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (92), (94), (95), (96), (97),
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            (100), (103), (104), (109), (113), (118), (485)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (486)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (487)  all_25_13 = e14
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (461), (487) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            #1275.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | |   (488)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | | | | |          (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (489)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (37), (489) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            #461.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | |   (490)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.26/48.44  | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (61), (90), (104), (370), (490) are
% 244.26/48.44  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #468.
% 244.26/48.44  | | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | |   (491)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | |   (492)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | |   (493)  op1(e11, e12) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (53), (63), (493) are inconsistent by
% 244.26/48.44  | | | | | | | | | | | | | | | |            sub-proof #1158.
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | |   (494)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.26/48.44  | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | |   (495)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 244.26/48.44  | | | | | | | | | | | | | | | | |   (496)  all_25_15 = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (26), (28), (55), (62), (72), (113),
% 244.26/48.44  | | | | | | | | | | | | | | | | |            (450), (496) are inconsistent by sub-proof #422.
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | |   (497)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (22), (26), (28), (34), (37),
% 244.26/48.44  | | | | | | | | | | | | | | | | |            (53), (55), (56), (62), (67), (68), (71), (77),
% 244.26/48.44  | | | | | | | | | | | | | | | | |            (96), (104), (370), (497) are inconsistent by
% 244.26/48.44  | | | | | | | | | | | | | | | | |            sub-proof #1045.
% 244.26/48.44  | | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | |   (498)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | ALPHA: (498) implies:
% 244.26/48.44  | | | | | | | | | | | | | |   (499)  all_25_23 = e11
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | | REF_CLOSE: (26), (450), (499) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | | | | | |            #1262.
% 244.26/48.44  | | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | |   (500)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (22), (26), (28), (34),
% 244.26/48.44  | | | | | | | | | | |            (37), (53), (55), (56), (62), (67), (68), (71),
% 244.26/48.44  | | | | | | | | | | |            (77), (96), (104), (500) are inconsistent by
% 244.26/48.44  | | | | | | | | | | |            sub-proof #1261.
% 244.26/48.44  | | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (501)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_18 =
% 244.26/48.44  | | | | | | | |            e12 & op1(e12, e10) = e12)
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | BETA: splitting (501) gives:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (502)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REF_CLOSE: (67), (113), (502) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | |            #1025.
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (503)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | ALPHA: (503) implies:
% 244.26/48.44  | | | | | | | | |   (504)  all_25_18 = e12
% 244.26/48.44  | | | | | | | | |   (505)  op1(e12, e10) = e12
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REF_CLOSE: (6), (9), (10), (15), (26), (28), (34), (37), (45),
% 244.26/48.44  | | | | | | | | |            (46), (51), (53), (55), (56), (62), (67), (68),
% 244.26/48.44  | | | | | | | | |            (104), (109), (370), (504), (505) are inconsistent
% 244.26/48.44  | | | | | | | | |            by sub-proof #454.
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | End of split
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | End of split
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | Case 2:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | |   (506)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | REF_CLOSE: (6), (9), (10), (15), (22), (26), (28), (34), (37), (53),
% 244.26/48.44  | | | | | |            (55), (56), (62), (67), (68), (71), (77), (96), (104),
% 244.26/48.44  | | | | | |            (506) are inconsistent by sub-proof #1261.
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | End of split
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | End of split
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | End of split
% 244.26/48.44  | | | 
% 244.26/48.44  | | Case 2:
% 244.26/48.44  | | | 
% 244.26/48.44  | | |   (507)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_23 = e13 &
% 244.26/48.44  | | |            op1(e10, e11) = e13)
% 244.26/48.44  | | | 
% 244.26/48.44  | | | BETA: splitting (507) gives:
% 244.26/48.44  | | | 
% 244.26/48.44  | | | Case 1:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | |   (508)  all_25_15 = e13 & op1(e11, e11) = e13
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | ALPHA: (508) implies:
% 244.26/48.44  | | | |   (509)  all_25_15 = e13
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | REF_CLOSE: (2), (6), (9), (10), (13), (20), (22), (25), (26), (28),
% 244.26/48.44  | | | |            (29), (31), (34), (35), (37), (47), (49), (53), (55), (56),
% 244.26/48.44  | | | |            (57), (61), (62), (63), (67), (68), (71), (77), (90), (93),
% 244.26/48.44  | | | |            (96), (98), (104), (109), (509) are inconsistent by sub-proof
% 244.26/48.44  | | | |            #387.
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | Case 2:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | |   (510)  all_25_23 = e13 & op1(e10, e11) = e13
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | REF_CLOSE: (53), (80), (97), (510) are inconsistent by sub-proof #1253.
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | End of split
% 244.26/48.44  | | | 
% 244.26/48.44  | | End of split
% 244.26/48.44  | | 
% 244.26/48.44  | End of split
% 244.26/48.44  | 
% 244.26/48.44  End of proof
% 244.26/48.44  
% 244.26/48.44  Sub-proof #387 shows that the following formulas are inconsistent:
% 244.26/48.44  ----------------------------------------------------------------
% 244.26/48.44    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 244.26/48.44             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 244.26/48.44           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.26/48.44    (2)   ~ (e14 = e10)
% 244.26/48.44    (3)  all_25_2 = e12
% 244.26/48.44    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.26/48.44           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.26/48.44           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.26/48.44    (5)  all_25_1 = e12
% 244.26/48.44    (6)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.26/48.44             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.26/48.44           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.26/48.44    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.26/48.44           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.26/48.44           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.26/48.44    (8)  all_25_14 = e13
% 244.26/48.44    (9)   ~ (e12 = e11)
% 244.26/48.44    (10)   ~ (e14 = e11)
% 244.26/48.44    (11)  all_25_3 = e11
% 244.26/48.44    (12)  op1(e10, e13) = e13
% 244.26/48.44    (13)   ~ (e13 = e10)
% 244.26/48.44    (14)  op1(e11, e12) = all_14_13
% 244.26/48.44    (15)   ~ (e14 = e13)
% 244.26/48.44    (16)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.26/48.44              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.26/48.44            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.26/48.44    (17)  all_25_21 = e13
% 244.26/48.44    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.26/48.44            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.26/48.44    (19)  all_25_15 = e13
% 244.26/48.44    (20)   ~ (e13 = e11)
% 244.26/48.44    (21)  op1(e13, e12) = e10
% 244.26/48.44    (22)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.26/48.44              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.26/48.44            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.44    (23)   ~ (all_14_18 = e14)
% 244.26/48.44    (24)   ~ (e11 = e10)
% 244.26/48.44    (25)   ~ (all_14_13 = e10)
% 244.26/48.44    (26)   ~ (e13 = e12)
% 244.26/48.44    (27)  op1(e13, e13) = e11
% 244.26/48.44    (28)   ~ (e12 = e10)
% 244.26/48.44    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.26/48.44            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.26/48.44            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.26/48.44    (30)  op1(e11, e11) = all_14_18
% 244.26/48.44    (31)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.26/48.44            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.26/48.44            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.26/48.44    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.26/48.44            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.26/48.44            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.26/48.44    (33)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.26/48.44            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.26/48.44            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.26/48.44    (34)   ~ (e14 = e12)
% 244.26/48.44    (35)  all_25_17 = e13
% 244.26/48.44  
% 244.26/48.44  Begin of proof
% 244.26/48.44  | 
% 244.26/48.44  | BETA: splitting (1) gives:
% 244.26/48.44  | 
% 244.26/48.44  | Case 1:
% 244.26/48.44  | | 
% 244.26/48.44  | |   (36)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 &
% 244.26/48.44  | |           op1(e11, e13) = e12)
% 244.26/48.44  | | 
% 244.26/48.44  | | BETA: splitting (36) gives:
% 244.26/48.44  | | 
% 244.26/48.44  | | Case 1:
% 244.26/48.44  | | | 
% 244.26/48.44  | | |   (37)  all_25_12 = e12 & op1(e11, e14) = e12
% 244.26/48.44  | | | 
% 244.26/48.44  | | | ALPHA: (37) implies:
% 244.26/48.44  | | |   (38)  all_25_12 = e12
% 244.26/48.44  | | | 
% 244.26/48.44  | | | BETA: splitting (22) gives:
% 244.26/48.44  | | | 
% 244.26/48.44  | | | Case 1:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | |   (39)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 244.26/48.44  | | | |           op1(e11, e13) = e10)
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | BETA: splitting (39) gives:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | Case 1:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | |   (40)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (13), (15), (18), (20),
% 244.26/48.44  | | | | |            (21), (24), (26), (27), (28), (29), (32), (34), (38), (40)
% 244.26/48.44  | | | | |            are inconsistent by sub-proof #1215.
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | Case 2:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | |   (41)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | ALPHA: (41) implies:
% 244.26/48.44  | | | | |   (42)  all_25_13 = e10
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | BETA: splitting (6) gives:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | Case 1:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | |   (43)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 244.26/48.44  | | | | | |           op1(e11, e13) = e14)
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | REF_CLOSE: (2), (34), (38), (42), (43) are inconsistent by sub-proof
% 244.26/48.44  | | | | | |            #428.
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | Case 2:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | |   (44)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 244.26/48.44  | | | | | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) =
% 244.26/48.44  | | | | | |           e14)
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | BETA: splitting (44) gives:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | Case 1:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | |   (45)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | REF_CLOSE: (8), (15), (45) are inconsistent by sub-proof #461.
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | Case 2:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | |   (46)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14
% 244.26/48.44  | | | | | | |           & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | BETA: splitting (46) gives:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (47)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | ALPHA: (47) implies:
% 244.26/48.44  | | | | | | | |   (48)  op1(e11, e11) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | REF_CLOSE: (18), (23), (30), (48) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | |            #1098.
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (49)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | ALPHA: (49) implies:
% 244.26/48.44  | | | | | | | |   (50)  all_25_19 = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | BETA: splitting (16) gives:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (51)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 =
% 244.26/48.44  | | | | | | | | |           e11 & op1(e11, e13) = e11)
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | BETA: splitting (51) gives:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (52)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REF_CLOSE: (9), (38), (52) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | |            #473.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (53)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REF_CLOSE: (24), (42), (53) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | |            #986.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (54)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.26/48.44  | | | | | | | | |           e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 244.26/48.44  | | | | | | | | |           op1(e11, e10) = e11)
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REF_CLOSE: (8), (10), (19), (20), (50), (54) are inconsistent
% 244.26/48.44  | | | | | | | | |            by sub-proof #390.
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | End of split
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | End of split
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | End of split
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | End of split
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | Case 2:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | |   (55)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 244.26/48.44  | | | |           op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | BETA: splitting (55) gives:
% 244.26/48.44  | | | | 
% 244.26/48.44  | | | | Case 1:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | |   (56)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | ALPHA: (56) implies:
% 244.26/48.44  | | | | |   (57)  op1(e11, e12) = e10
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | REF_CLOSE: (14), (18), (25), (57) are inconsistent by sub-proof #1158.
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | Case 2:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | |   (58)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 244.26/48.44  | | | | |           op1(e11, e10) = e10)
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | BETA: splitting (58) gives:
% 244.26/48.44  | | | | | 
% 244.26/48.44  | | | | | Case 1:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | |   (59)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | REF_CLOSE: (2), (3), (4), (10), (11), (13), (15), (18), (19), (20),
% 244.26/48.44  | | | | | |            (21), (26), (27), (32), (34), (35), (59) are inconsistent
% 244.26/48.44  | | | | | |            by sub-proof #436.
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | Case 2:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | |   (60)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | ALPHA: (60) implies:
% 244.26/48.44  | | | | | |   (61)  all_25_19 = e10
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | BETA: splitting (6) gives:
% 244.26/48.44  | | | | | | 
% 244.26/48.44  | | | | | | Case 1:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | |   (62)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14
% 244.26/48.44  | | | | | | |           & op1(e11, e13) = e14)
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | BETA: splitting (62) gives:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (63)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | REF_CLOSE: (34), (38), (63) are inconsistent by sub-proof #429.
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (64)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | ALPHA: (64) implies:
% 244.26/48.44  | | | | | | | |   (65)  all_25_13 = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | BETA: splitting (16) gives:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (66)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 =
% 244.26/48.44  | | | | | | | | |           e11 & op1(e11, e13) = e11)
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | BETA: splitting (66) gives:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (67)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REF_CLOSE: (9), (38), (67) are inconsistent by sub-proof
% 244.26/48.44  | | | | | | | | | |            #473.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | |   (68)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | ALPHA: (68) implies:
% 244.26/48.44  | | | | | | | | | |   (69)  all_25_13 = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | COMBINE_EQS: (65), (69) imply:
% 244.26/48.44  | | | | | | | | | |   (70)  e14 = e11
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | REDUCE: (10), (70) imply:
% 244.26/48.44  | | | | | | | | | |   (71)  $false
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | | CLOSE: (71) is inconsistent.
% 244.26/48.44  | | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (72)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.26/48.44  | | | | | | | | |           e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 244.26/48.44  | | | | | | | | |           op1(e11, e10) = e11)
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REF_CLOSE: (8), (19), (20), (24), (61), (72) are inconsistent
% 244.26/48.44  | | | | | | | | |            by sub-proof #389.
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | End of split
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | End of split
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | Case 2:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | |   (73)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14
% 244.26/48.44  | | | | | | |           & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11,
% 244.26/48.44  | | | | | | |             e10) = e14)
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | BETA: splitting (73) gives:
% 244.26/48.44  | | | | | | | 
% 244.26/48.44  | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (74)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | REF_CLOSE: (8), (15), (74) are inconsistent by sub-proof #461.
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | |   (75)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 =
% 244.26/48.44  | | | | | | | |           e14 & op1(e11, e10) = e14)
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | BETA: splitting (75) gives:
% 244.26/48.44  | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 1:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (76)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | ALPHA: (76) implies:
% 244.26/48.44  | | | | | | | | |   (77)  op1(e11, e11) = e14
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REF_CLOSE: (18), (23), (30), (77) are inconsistent by
% 244.26/48.44  | | | | | | | | |            sub-proof #1098.
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | Case 2:
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | |   (78)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | ALPHA: (78) implies:
% 244.26/48.44  | | | | | | | | |   (79)  all_25_19 = e14
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | COMBINE_EQS: (61), (79) imply:
% 244.26/48.44  | | | | | | | | |   (80)  e14 = e10
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | SIMP: (80) implies:
% 244.26/48.44  | | | | | | | | |   (81)  e14 = e10
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | REDUCE: (2), (81) imply:
% 244.26/48.44  | | | | | | | | |   (82)  $false
% 244.26/48.44  | | | | | | | | | 
% 244.26/48.44  | | | | | | | | | CLOSE: (82) is inconsistent.
% 244.38/48.44  | | | | | | | | | 
% 244.38/48.44  | | | | | | | | End of split
% 244.38/48.44  | | | | | | | | 
% 244.38/48.44  | | | | | | | End of split
% 244.38/48.44  | | | | | | | 
% 244.38/48.44  | | | | | | End of split
% 244.38/48.44  | | | | | | 
% 244.38/48.44  | | | | | End of split
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | End of split
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | End of split
% 244.38/48.44  | | | 
% 244.38/48.44  | | Case 2:
% 244.38/48.44  | | | 
% 244.38/48.44  | | |   (83)  all_25_13 = e12 & op1(e11, e13) = e12
% 244.38/48.44  | | | 
% 244.38/48.44  | | | ALPHA: (83) implies:
% 244.38/48.44  | | |   (84)  all_25_13 = e12
% 244.38/48.44  | | | 
% 244.38/48.44  | | | BETA: splitting (33) gives:
% 244.38/48.44  | | | 
% 244.38/48.44  | | | Case 1:
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | |   (85)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 &
% 244.38/48.44  | | | |           op1(e13, e13) = e14)
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | | BETA: splitting (85) gives:
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | | Case 1:
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | |   (86)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | | REF_CLOSE: (5), (34), (86) are inconsistent by sub-proof #1292.
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | Case 2:
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | |   (87)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | | REF_CLOSE: (10), (11), (87) are inconsistent by sub-proof #1291.
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | End of split
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | Case 2:
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | |   (88)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.38/48.44  | | | |           op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | | BETA: splitting (88) gives:
% 244.38/48.44  | | | | 
% 244.38/48.44  | | | | Case 1:
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | |   (89)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | | ALPHA: (89) implies:
% 244.38/48.44  | | | | |   (90)  all_25_7 = e14
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | | BETA: splitting (22) gives:
% 244.38/48.44  | | | | | 
% 244.38/48.44  | | | | | Case 1:
% 244.38/48.44  | | | | | | 
% 244.38/48.44  | | | | | |   (91)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 244.38/48.44  | | | | | |           op1(e11, e13) = e10)
% 244.38/48.44  | | | | | | 
% 244.38/48.44  | | | | | | BETA: splitting (91) gives:
% 244.38/48.44  | | | | | | 
% 244.38/48.44  | | | | | | Case 1:
% 244.38/48.44  | | | | | | | 
% 244.38/48.44  | | | | | | |   (92)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.38/48.44  | | | | | | | 
% 244.38/48.44  | | | | | | | ALPHA: (92) implies:
% 244.38/48.45  | | | | | | |   (93)  all_25_12 = e10
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | BETA: splitting (6) gives:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (94)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 =
% 244.38/48.45  | | | | | | | |           e14 & op1(e11, e13) = e14)
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | BETA: splitting (94) gives:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (95)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | ALPHA: (95) implies:
% 244.38/48.45  | | | | | | | | |   (96)  all_25_12 = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | COMBINE_EQS: (93), (96) imply:
% 244.38/48.45  | | | | | | | | |   (97)  e14 = e10
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | SIMP: (97) implies:
% 244.38/48.45  | | | | | | | | |   (98)  e14 = e10
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | COMBINE_EQS: (90), (98) imply:
% 244.38/48.45  | | | | | | | | |   (99)  all_25_7 = e10
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (15), (18), (33), (34),
% 244.38/48.45  | | | | | | | | |            (84), (99) are inconsistent by sub-proof #1194.
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (100)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | REF_CLOSE: (34), (84), (100) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | |            #1196.
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (101)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.38/48.45  | | | | | | | |            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.38/48.45  | | | | | | | |            op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | BETA: splitting (101) gives:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (102)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | REF_CLOSE: (8), (15), (102) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | |            #461.
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (103)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19
% 244.38/48.45  | | | | | | | | |            = e14 & op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | BETA: splitting (103) gives:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (104)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | ALPHA: (104) implies:
% 244.38/48.45  | | | | | | | | | |   (105)  op1(e11, e11) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | REF_CLOSE: (18), (23), (30), (105) are inconsistent by
% 244.38/48.45  | | | | | | | | | |            sub-proof #1098.
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (106)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | ALPHA: (106) implies:
% 244.38/48.45  | | | | | | | | | |   (107)  all_25_19 = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | BETA: splitting (16) gives:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (108)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | BETA: splitting (108) gives:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (109)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | ALPHA: (109) implies:
% 244.38/48.45  | | | | | | | | | | | |   (110)  all_25_12 = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | REF_CLOSE: (24), (93), (110) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | |            #1177.
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (111)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | REF_CLOSE: (9), (84), (111) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | |            #388.
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (112)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (8), (10), (19), (20), (107), (112) are
% 244.38/48.45  | | | | | | | | | | |            inconsistent by sub-proof #390.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | End of split
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | Case 2:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (113)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (13), (15), (18), (20),
% 244.38/48.45  | | | | | | |            (21), (24), (26), (27), (28), (29), (32), (34), (84),
% 244.38/48.45  | | | | | | |            (113) are inconsistent by sub-proof #1193.
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | End of split
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | Case 2:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (114)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10
% 244.38/48.45  | | | | | |            & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10)
% 244.38/48.45  | | | | | |            = e10)
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | BETA: splitting (114) gives:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | Case 1:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (115)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | ALPHA: (115) implies:
% 244.38/48.45  | | | | | | |   (116)  op1(e11, e12) = e10
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | REF_CLOSE: (14), (18), (25), (116) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | |            #1158.
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | Case 2:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (117)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 =
% 244.38/48.45  | | | | | | |            e10 & op1(e11, e10) = e10)
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | BETA: splitting (117) gives:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (118)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | REF_CLOSE: (2), (3), (4), (10), (11), (13), (15), (18), (19),
% 244.38/48.45  | | | | | | | |            (20), (21), (26), (27), (32), (34), (35), (118) are
% 244.38/48.45  | | | | | | | |            inconsistent by sub-proof #436.
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (119)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | ALPHA: (119) implies:
% 244.38/48.45  | | | | | | | |   (120)  all_25_19 = e10
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | BETA: splitting (6) gives:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (121)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13
% 244.38/48.45  | | | | | | | | |            = e14 & op1(e11, e13) = e14)
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | BETA: splitting (121) gives:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (122)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | ALPHA: (122) implies:
% 244.38/48.45  | | | | | | | | | |   (123)  all_25_12 = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | BETA: splitting (16) gives:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (124)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | BETA: splitting (124) gives:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (125)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | REF_CLOSE: (10), (123), (125) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | |            #391.
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (126)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | REF_CLOSE: (9), (84), (126) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | |            #388.
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (127)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (8), (19), (20), (24), (120), (127) are
% 244.38/48.45  | | | | | | | | | | |            inconsistent by sub-proof #389.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (128)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | REF_CLOSE: (34), (84), (128) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | |            #1196.
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (129)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15
% 244.38/48.45  | | | | | | | | |            = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.38/48.45  | | | | | | | | |            op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | BETA: splitting (129) gives:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (130)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | REF_CLOSE: (8), (15), (130) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | |            #461.
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (131)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 244.38/48.45  | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | BETA: splitting (131) gives:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (132)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | ALPHA: (132) implies:
% 244.38/48.45  | | | | | | | | | | |   (133)  op1(e11, e11) = e14
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (18), (23), (30), (133) are inconsistent by
% 244.38/48.45  | | | | | | | | | | |            sub-proof #1098.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (134)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | ALPHA: (134) implies:
% 244.38/48.45  | | | | | | | | | | |   (135)  all_25_19 = e14
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | COMBINE_EQS: (120), (135) imply:
% 244.38/48.45  | | | | | | | | | | |   (136)  e14 = e10
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | SIMP: (136) implies:
% 244.38/48.45  | | | | | | | | | | |   (137)  e14 = e10
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | COMBINE_EQS: (90), (137) imply:
% 244.38/48.45  | | | | | | | | | | |   (138)  all_25_7 = e10
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (15), (18), (33),
% 244.38/48.45  | | | | | | | | | | |            (34), (84), (138) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | |            #1194.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | End of split
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | End of split
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | End of split
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | Case 2:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | |   (139)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 244.38/48.45  | | | | |            op1(e10, e13) = e14)
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | REF_CLOSE: (12), (15), (18), (34), (84), (139) are inconsistent by
% 244.38/48.45  | | | | |            sub-proof #1195.
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | End of split
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | End of split
% 244.38/48.45  | | | 
% 244.38/48.45  | | End of split
% 244.38/48.45  | | 
% 244.38/48.45  | Case 2:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (140)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 = e12 &
% 244.38/48.45  | |            op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.38/48.45  | | 
% 244.38/48.45  | | BETA: splitting (140) gives:
% 244.38/48.45  | | 
% 244.38/48.45  | | Case 1:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (141)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (8), (26), (141) are inconsistent by sub-proof #478.
% 244.38/48.45  | | | 
% 244.38/48.45  | | Case 2:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (142)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 &
% 244.38/48.45  | | |            op1(e11, e10) = e12)
% 244.38/48.45  | | | 
% 244.38/48.45  | | | BETA: splitting (142) gives:
% 244.38/48.45  | | | 
% 244.38/48.45  | | | Case 1:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | |   (143)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | REF_CLOSE: (19), (26), (143) are inconsistent by sub-proof #1088.
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | Case 2:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | |   (144)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | ALPHA: (144) implies:
% 244.38/48.45  | | | |   (145)  all_25_19 = e12
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | BETA: splitting (16) gives:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | Case 1:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | |   (146)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 244.38/48.45  | | | | |            op1(e11, e13) = e11)
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | BETA: splitting (146) gives:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | Case 1:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (147)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | ALPHA: (147) implies:
% 244.38/48.45  | | | | | |   (148)  all_25_12 = e11
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | BETA: splitting (6) gives:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | Case 1:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (149)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 =
% 244.38/48.45  | | | | | | |            e14 & op1(e11, e13) = e14)
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | BETA: splitting (149) gives:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (150)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | REF_CLOSE: (10), (148), (150) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | |            #1183.
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (151)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | ALPHA: (151) implies:
% 244.38/48.45  | | | | | | | |   (152)  all_25_13 = e14
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (11), (13), (14),
% 244.38/48.45  | | | | | | | |            (15), (18), (19), (20), (21), (22), (24), (25), (26),
% 244.38/48.45  | | | | | | | |            (27), (28), (29), (32), (34), (35), (145), (148),
% 244.38/48.45  | | | | | | | |            (152) are inconsistent by sub-proof #435.
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | End of split
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | Case 2:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (153)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.38/48.45  | | | | | | |            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.38/48.45  | | | | | | |            op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | BETA: splitting (153) gives:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (154)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | REF_CLOSE: (8), (15), (154) are inconsistent by sub-proof #461.
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (155)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 =
% 244.38/48.45  | | | | | | | |            e14 & op1(e11, e10) = e14)
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | REF_CLOSE: (18), (23), (30), (34), (145), (155) are inconsistent
% 244.38/48.45  | | | | | | | |            by sub-proof #1075.
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | End of split
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | End of split
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | Case 2:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (156)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | ALPHA: (156) implies:
% 244.38/48.45  | | | | | |   (157)  all_25_13 = e11
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (13),
% 244.38/48.45  | | | | | |            (15), (17), (18), (20), (21), (24), (26), (27), (28),
% 244.38/48.45  | | | | | |            (29), (31), (32), (33), (34), (35), (157) are
% 244.38/48.45  | | | | | |            inconsistent by sub-proof #446.
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | End of split
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | Case 2:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | |   (158)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 244.38/48.45  | | | | |            op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) =
% 244.38/48.45  | | | | |            e11)
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | BETA: splitting (158) gives:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | Case 1:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (159)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | REF_CLOSE: (8), (20), (159) are inconsistent by sub-proof #477.
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | Case 2:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (160)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11
% 244.38/48.45  | | | | | |            & op1(e11, e10) = e11)
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | BETA: splitting (160) gives:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | Case 1:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (161)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | REF_CLOSE: (19), (20), (161) are inconsistent by sub-proof #441.
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | Case 2:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (162)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | REF_CLOSE: (9), (145), (162) are inconsistent by sub-proof #1084.
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | End of split
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | End of split
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | End of split
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | End of split
% 244.38/48.45  | | | 
% 244.38/48.45  | | End of split
% 244.38/48.45  | | 
% 244.38/48.45  | End of split
% 244.38/48.45  | 
% 244.38/48.45  End of proof
% 244.38/48.45  
% 244.38/48.45  Sub-proof #388 shows that the following formulas are inconsistent:
% 244.38/48.45  ----------------------------------------------------------------
% 244.38/48.45    (1)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.38/48.45    (2)  all_25_13 = e12
% 244.38/48.45    (3)   ~ (e12 = e11)
% 244.38/48.45  
% 244.38/48.45  Begin of proof
% 244.38/48.45  | 
% 244.38/48.45  | ALPHA: (1) implies:
% 244.38/48.45  |   (4)  all_25_13 = e11
% 244.38/48.45  | 
% 244.38/48.45  | COMBINE_EQS: (2), (4) imply:
% 244.38/48.45  |   (5)  e12 = e11
% 244.38/48.45  | 
% 244.38/48.45  | REDUCE: (3), (5) imply:
% 244.38/48.45  |   (6)  $false
% 244.38/48.45  | 
% 244.38/48.45  | CLOSE: (6) is inconsistent.
% 244.38/48.45  | 
% 244.38/48.45  End of proof
% 244.38/48.45  
% 244.38/48.45  Sub-proof #389 shows that the following formulas are inconsistent:
% 244.38/48.45  ----------------------------------------------------------------
% 244.38/48.45    (1)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 & op1(e11,
% 244.38/48.45             e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.45    (2)  all_25_14 = e13
% 244.38/48.45    (3)  all_25_15 = e13
% 244.38/48.45    (4)   ~ (e13 = e11)
% 244.38/48.45    (5)   ~ (e11 = e10)
% 244.38/48.45    (6)  all_25_19 = e10
% 244.38/48.45  
% 244.38/48.45  Begin of proof
% 244.38/48.45  | 
% 244.38/48.45  | BETA: splitting (1) gives:
% 244.38/48.45  | 
% 244.38/48.45  | Case 1:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (7)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.38/48.45  | | 
% 244.38/48.45  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #477.
% 244.38/48.45  | | 
% 244.38/48.45  | Case 2:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (8)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11,
% 244.38/48.45  | |            e10) = e11)
% 244.38/48.45  | | 
% 244.38/48.45  | | BETA: splitting (8) gives:
% 244.38/48.45  | | 
% 244.38/48.45  | | Case 1:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (9)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #441.
% 244.38/48.45  | | | 
% 244.38/48.45  | | Case 2:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (10)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #1103.
% 244.38/48.45  | | | 
% 244.38/48.45  | | End of split
% 244.38/48.45  | | 
% 244.38/48.45  | End of split
% 244.38/48.45  | 
% 244.38/48.45  End of proof
% 244.38/48.45  
% 244.38/48.45  Sub-proof #390 shows that the following formulas are inconsistent:
% 244.38/48.45  ----------------------------------------------------------------
% 244.38/48.45    (1)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 & op1(e11,
% 244.38/48.45             e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.45    (2)  all_25_14 = e13
% 244.38/48.45    (3)   ~ (e14 = e11)
% 244.38/48.45    (4)  all_25_19 = e14
% 244.38/48.45    (5)  all_25_15 = e13
% 244.38/48.45    (6)   ~ (e13 = e11)
% 244.38/48.45  
% 244.38/48.45  Begin of proof
% 244.38/48.45  | 
% 244.38/48.45  | BETA: splitting (1) gives:
% 244.38/48.45  | 
% 244.38/48.45  | Case 1:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (7)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.38/48.45  | | 
% 244.38/48.45  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #477.
% 244.38/48.45  | | 
% 244.38/48.45  | Case 2:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (8)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11,
% 244.38/48.45  | |            e10) = e11)
% 244.38/48.45  | | 
% 244.38/48.45  | | BETA: splitting (8) gives:
% 244.38/48.45  | | 
% 244.38/48.45  | | Case 1:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (9)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #441.
% 244.38/48.45  | | | 
% 244.38/48.45  | | Case 2:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (10)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #1008.
% 244.38/48.45  | | | 
% 244.38/48.45  | | End of split
% 244.38/48.45  | | 
% 244.38/48.45  | End of split
% 244.38/48.45  | 
% 244.38/48.45  End of proof
% 244.38/48.45  
% 244.38/48.45  Sub-proof #391 shows that the following formulas are inconsistent:
% 244.38/48.45  ----------------------------------------------------------------
% 244.38/48.45    (1)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.38/48.45    (2)  all_25_12 = e14
% 244.38/48.45    (3)   ~ (e14 = e11)
% 244.38/48.45  
% 244.38/48.45  Begin of proof
% 244.38/48.45  | 
% 244.38/48.45  | ALPHA: (1) implies:
% 244.38/48.45  |   (4)  all_25_12 = e11
% 244.38/48.45  | 
% 244.38/48.45  | COMBINE_EQS: (2), (4) imply:
% 244.38/48.45  |   (5)  e14 = e11
% 244.38/48.45  | 
% 244.38/48.45  | REDUCE: (3), (5) imply:
% 244.38/48.45  |   (6)  $false
% 244.38/48.45  | 
% 244.38/48.45  | CLOSE: (6) is inconsistent.
% 244.38/48.45  | 
% 244.38/48.45  End of proof
% 244.38/48.45  
% 244.38/48.45  Sub-proof #392 shows that the following formulas are inconsistent:
% 244.38/48.45  ----------------------------------------------------------------
% 244.38/48.45    (1)  all_25_9 = e10
% 244.38/48.45    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.38/48.45             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.38/48.45           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.45    (3)   ~ (e14 = e10)
% 244.38/48.45    (4)  all_25_2 = e12
% 244.38/48.45    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.45    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.45           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.45           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.45    (7)  all_25_19 = e12
% 244.38/48.45    (8)  all_25_1 = e12
% 244.38/48.45    (9)  op1(e14, unit1) = e14
% 244.38/48.45    (10)  all_25_24 = e10
% 244.38/48.45    (11)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.38/48.45              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.38/48.45            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.38/48.45    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.38/48.45            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.38/48.45            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.38/48.45    (13)  all_25_14 = e13
% 244.38/48.45    (14)   ~ (e12 = e11)
% 244.38/48.45    (15)   ~ (e14 = e11)
% 244.38/48.45    (16)  all_25_3 = e11
% 244.38/48.45    (17)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.38/48.45            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.38/48.45            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.38/48.45    (18)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.38/48.45            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.38/48.45            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.38/48.45    (19)   ~ (e13 = e10)
% 244.38/48.45    (20)   ~ (e14 = e13)
% 244.38/48.45    (21)   ~ (all_14_17 = e14)
% 244.38/48.45    (22)  all_25_11 = e13
% 244.38/48.45    (23)  op1(e13, unit1) = e13
% 244.38/48.45    (24)  op1(e13, e11) = e14
% 244.38/48.45    (25)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.38/48.45              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.38/48.45            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.45    (26)  all_25_21 = e13
% 244.38/48.45    (27)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.38/48.45              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.38/48.45            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.45    (28)  all_25_15 = e11
% 244.38/48.45    (29)  all_25_0 = e13
% 244.38/48.45    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.45    (31)   ~ (e13 = e11)
% 244.38/48.45    (32)  op1(e13, e12) = e10
% 244.38/48.45    (33)  op1(e12, e11) = all_14_17
% 244.38/48.45    (34)  all_25_12 = e10
% 244.38/48.45    (35)   ~ (all_14_18 = e14)
% 244.38/48.45    (36)   ~ (e11 = e10)
% 244.38/48.45    (37)   ~ (e13 = e12)
% 244.38/48.45    (38)  op1(e13, e13) = e11
% 244.38/48.45    (39)   ~ (e12 = e10)
% 244.38/48.45    (40)  all_25_10 = e14
% 244.38/48.45    (41)   ~ (all_14_19 = e14)
% 244.38/48.45    (42)  all_25_8 = e12
% 244.38/48.45    (43)   ~ (all_14_14 = e13)
% 244.38/48.45    (44)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.38/48.45            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.38/48.45            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.38/48.45    (45)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.38/48.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.38/48.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.38/48.45    (46)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.45              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.45            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.45    (47)   ~ (all_14_19 = e13)
% 244.38/48.45    (48)  op1(e10, unit1) = e10
% 244.38/48.45    (49)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.45    (50)  op1(unit1, e14) = e14
% 244.38/48.45    (51)  op1(e14, e12) = all_14_10
% 244.38/48.45    (52)   ~ (all_14_10 = e12)
% 244.38/48.45    (53)  op1(e11, e11) = all_14_18
% 244.38/48.45    (54)   ~ (all_14_19 = e10)
% 244.38/48.45    (55)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.38/48.45            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.38/48.45            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.38/48.45    (56)  op1(unit1, e12) = e12
% 244.38/48.45    (57)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.38/48.45              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.38/48.45            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.38/48.45    (58)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.45    (59)  op1(e10, e11) = all_14_19
% 244.38/48.45    (60)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 244.38/48.45            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 244.38/48.45            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.38/48.45    (61)  op1(e10, e12) = all_14_14
% 244.38/48.45    (62)  op1(e13, e14) = e12
% 244.38/48.45    (63)   ~ (e14 = e12)
% 244.38/48.45    (64)  all_25_23 = e12
% 244.38/48.45    (65)  all_25_17 = e13
% 244.38/48.45  
% 244.38/48.45  Begin of proof
% 244.38/48.45  | 
% 244.38/48.45  | BETA: splitting (11) gives:
% 244.38/48.45  | 
% 244.38/48.45  | Case 1:
% 244.38/48.45  | | 
% 244.38/48.45  | |   (66)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 244.38/48.45  | |           op1(e11, e13) = e14)
% 244.38/48.45  | | 
% 244.38/48.45  | | BETA: splitting (66) gives:
% 244.38/48.45  | | 
% 244.38/48.45  | | Case 1:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (67)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.38/48.45  | | | 
% 244.38/48.45  | | | REF_CLOSE: (3), (34), (67) are inconsistent by sub-proof #1178.
% 244.38/48.45  | | | 
% 244.38/48.45  | | Case 2:
% 244.38/48.45  | | | 
% 244.38/48.45  | | |   (68)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.38/48.45  | | | 
% 244.38/48.45  | | | ALPHA: (68) implies:
% 244.38/48.45  | | |   (69)  all_25_13 = e14
% 244.38/48.45  | | | 
% 244.38/48.45  | | | BETA: splitting (55) gives:
% 244.38/48.45  | | | 
% 244.38/48.45  | | | Case 1:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | |   (70)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 244.38/48.45  | | | |           op1(e13, e13) = e10)
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | REF_CLOSE: (3), (4), (5), (8), (12), (14), (15), (19), (20), (30), (31),
% 244.38/48.45  | | | |            (32), (36), (37), (38), (39), (45), (58), (63), (70) are
% 244.38/48.45  | | | |            inconsistent by sub-proof #1279.
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | Case 2:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | |   (71)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.38/48.45  | | | |           op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | BETA: splitting (71) gives:
% 244.38/48.45  | | | | 
% 244.38/48.45  | | | | Case 1:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | |   (72)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | ALPHA: (72) implies:
% 244.38/48.45  | | | | |   (73)  all_25_7 = e10
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | BETA: splitting (18) gives:
% 244.38/48.45  | | | | | 
% 244.38/48.45  | | | | | Case 1:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | |   (74)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 &
% 244.38/48.45  | | | | | |           op1(e12, e13) = e14)
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | BETA: splitting (74) gives:
% 244.38/48.45  | | | | | | 
% 244.38/48.45  | | | | | | Case 1:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | |   (75)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | ALPHA: (75) implies:
% 244.38/48.45  | | | | | | |   (76)  all_25_6 = e14
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | BETA: splitting (27) gives:
% 244.38/48.45  | | | | | | | 
% 244.38/48.45  | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | |   (77)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 =
% 244.38/48.45  | | | | | | | |           e14 & op1(e13, e10) = e14)
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | BETA: splitting (77) gives:
% 244.38/48.45  | | | | | | | | 
% 244.38/48.45  | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | |   (78)  all_25_16 = e14 & op1(e14, e10) = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | ALPHA: (78) implies:
% 244.38/48.45  | | | | | | | | |   (79)  op1(e14, e10) = e14
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | BETA: splitting (17) gives:
% 244.38/48.45  | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (80)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 =
% 244.38/48.45  | | | | | | | | | |           e11 & op1(e14, e13) = e11)
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | BETA: splitting (80) gives:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (81)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (29), (31), (81) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | |            #1241.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (82)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | REF_CLOSE: (8), (14), (82) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | |            #1240.
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | |   (83)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 =
% 244.38/48.45  | | | | | | | | | |           e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 244.38/48.45  | | | | | | | | | |           op1(e14, e10) = e11)
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | BETA: splitting (83) gives:
% 244.38/48.45  | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (84)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | ALPHA: (84) implies:
% 244.38/48.45  | | | | | | | | | | |   (85)  all_25_4 = e11
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | BETA: splitting (60) gives:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (86)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.38/48.45  | | | | | | | | | | | |           = e14 & op1(e13, e12) = e14)
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | BETA: splitting (86) gives:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | |   (87)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | ALPHA: (87) implies:
% 244.38/48.45  | | | | | | | | | | | | |   (88)  all_25_4 = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | COMBINE_EQS: (85), (88) imply:
% 244.38/48.45  | | | | | | | | | | | | |   (89)  e14 = e11
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | SIMP: (89) implies:
% 244.38/48.45  | | | | | | | | | | | | |   (90)  e14 = e11
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | COMBINE_EQS: (76), (90) imply:
% 244.38/48.45  | | | | | | | | | | | | |   (91)  all_25_6 = e11
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | REF_CLOSE: (3), (7), (9), (10), (14), (15), (18), (19), (21),
% 244.38/48.45  | | | | | | | | | | | | |            (23), (25), (30), (31), (32), (33), (36), (37),
% 244.38/48.45  | | | | | | | | | | | | |            (42), (48), (49), (54), (59), (62), (63), (65),
% 244.38/48.45  | | | | | | | | | | | | |            (73), (91) are inconsistent by sub-proof #394.
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | |   (92)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | ALPHA: (92) implies:
% 244.38/48.45  | | | | | | | | | | | | |   (93)  op1(e13, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | REF_CLOSE: (3), (30), (32), (93) are inconsistent by
% 244.38/48.45  | | | | | | | | | | | | |            sub-proof #1286.
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (94)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.38/48.45  | | | | | | | | | | | |         (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.38/48.45  | | | | | | | | | | | |         (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | BETA: splitting (94) gives:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | |   (95)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | ALPHA: (95) implies:
% 244.38/48.45  | | | | | | | | | | | | |   (96)  all_25_8 = e14
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | COMBINE_EQS: (42), (96) imply:
% 244.38/48.45  | | | | | | | | | | | | |   (97)  e14 = e12
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | SIMP: (97) implies:
% 244.38/48.45  | | | | | | | | | | | | |   (98)  e14 = e12
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | COMBINE_EQS: (76), (98) imply:
% 244.38/48.45  | | | | | | | | | | | | |   (99)  all_25_6 = e12
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (10), (14), (15), (16), (19), (20),
% 244.38/48.45  | | | | | | | | | | | | |            (23), (29), (30), (31), (32), (34), (36), (37),
% 244.38/48.45  | | | | | | | | | | | | |            (38), (41), (43), (44), (46), (47), (48), (49),
% 244.38/48.45  | | | | | | | | | | | | |            (50), (54), (56), (57), (58), (59), (61), (62),
% 244.38/48.45  | | | | | | | | | | | | |            (63), (65), (99) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | | |            #399.
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | |   (100)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.38/48.45  | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | BETA: splitting (100) gives:
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | |   (101)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | | REF_CLOSE: (13), (20), (101) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | | | |            #461.
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | |   (102)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | | ALPHA: (102) implies:
% 244.38/48.45  | | | | | | | | | | | | | |   (103)  op1(e10, e12) = e14
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (10), (14), (15), (19), (22), (23),
% 244.38/48.45  | | | | | | | | | | | | | |            (26), (28), (30), (31), (32), (36), (37), (40),
% 244.38/48.45  | | | | | | | | | | | | | |            (48), (49), (50), (51), (52), (54), (56), (59),
% 244.38/48.45  | | | | | | | | | | | | | |            (62), (64), (103) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | | | |            #397.
% 244.38/48.45  | | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | End of split
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | |   (104)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.38/48.45  | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | BETA: splitting (104) gives:
% 244.38/48.45  | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 1:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | |   (105)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | ALPHA: (105) implies:
% 244.38/48.45  | | | | | | | | | | | |   (106)  all_25_9 = e11
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | | REF_CLOSE: (1), (36), (106) are inconsistent by sub-proof
% 244.38/48.45  | | | | | | | | | | | |            #1238.
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.45  | | | | | | | | | | | Case 2:
% 244.38/48.45  | | | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | | |   (107)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.38/48.46  | | | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | | | ALPHA: (107) implies:
% 244.38/48.46  | | | | | | | | | | | |   (108)  op1(e14, e10) = e11
% 244.38/48.46  | | | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | | | REF_CLOSE: (15), (30), (79), (108) are inconsistent by
% 244.38/48.46  | | | | | | | | | | | |            sub-proof #917.
% 244.38/48.46  | | | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | |   (109)  all_25_17 = e14 & op1(e13, e10) = e14
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | REF_CLOSE: (4), (5), (19), (20), (24), (30), (31), (32), (37),
% 244.38/48.46  | | | | | | | | |            (38), (109) are inconsistent by sub-proof #1136.
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | |   (110)  (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.38/48.46  | | | | | | | |            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 &
% 244.38/48.46  | | | | | | | |            op1(e10, e10) = e14)
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | BETA: splitting (110) gives:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | Case 1:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | |   (111)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | ALPHA: (111) implies:
% 244.38/48.46  | | | | | | | | |   (112)  all_25_18 = e14
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | REF_CLOSE: (7), (9), (10), (14), (15), (19), (23), (25), (30),
% 244.38/48.46  | | | | | | | | |            (31), (32), (36), (37), (48), (49), (54), (59),
% 244.38/48.46  | | | | | | | | |            (62), (65), (112) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | | |            #938.
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | |   (113)  (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24
% 244.38/48.46  | | | | | | | | |            = e14 & op1(e10, e10) = e14)
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | BETA: splitting (113) gives:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | Case 1:
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | |   (114)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | ALPHA: (114) implies:
% 244.38/48.46  | | | | | | | | | |   (115)  all_25_19 = e14
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | COMBINE_EQS: (7), (115) imply:
% 244.38/48.46  | | | | | | | | | |   (116)  e14 = e12
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | COMBINE_EQS: (76), (116) imply:
% 244.38/48.46  | | | | | | | | | |   (117)  all_25_6 = e12
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | REF_CLOSE: (3), (4), (5), (10), (14), (15), (16), (19), (20),
% 244.38/48.46  | | | | | | | | | |            (23), (29), (30), (31), (32), (34), (36), (37),
% 244.38/48.46  | | | | | | | | | |            (38), (41), (43), (44), (46), (47), (48), (49),
% 244.38/48.46  | | | | | | | | | |            (50), (54), (56), (57), (58), (59), (61), (62),
% 244.38/48.46  | | | | | | | | | |            (63), (65), (117) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | | | |            #399.
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | |   (118)  all_25_24 = e14 & op1(e10, e10) = e14
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | | REF_CLOSE: (3), (10), (118) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | | | |            #1208.
% 244.38/48.46  | | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | End of split
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | Case 2:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | |   (119)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | ALPHA: (119) implies:
% 244.38/48.46  | | | | | | |   (120)  all_25_7 = e14
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | REF_CLOSE: (3), (73), (120) are inconsistent by sub-proof #1251.
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | End of split
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | Case 2:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | |   (121)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.38/48.46  | | | | | |            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) =
% 244.38/48.46  | | | | | |            e14)
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | BETA: splitting (121) gives:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | Case 1:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | |   (122)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | ALPHA: (122) implies:
% 244.38/48.46  | | | | | | |   (123)  all_25_8 = e14
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | REF_CLOSE: (42), (63), (123) are inconsistent by sub-proof #462.
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | Case 2:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | |   (124)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 =
% 244.38/48.46  | | | | | | |            e14 & op1(e12, e10) = e14)
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | BETA: splitting (124) gives:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | Case 1:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | |   (125)  all_25_11 = e14 & op1(e12, e11) = e14
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | REF_CLOSE: (21), (30), (33), (125) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | |            #1162.
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | |   (126)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | ALPHA: (126) implies:
% 244.38/48.46  | | | | | | | |   (127)  all_25_18 = e14
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | REF_CLOSE: (7), (9), (10), (14), (15), (19), (23), (25), (30),
% 244.38/48.46  | | | | | | | |            (31), (32), (36), (37), (48), (49), (54), (59), (62),
% 244.38/48.46  | | | | | | | |            (65), (127) are inconsistent by sub-proof #938.
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | End of split
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | End of split
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | End of split
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | Case 2:
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | |   (128)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 244.38/48.46  | | | | |            op1(e10, e13) = e10)
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | BETA: splitting (128) gives:
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | Case 1:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | |   (129)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | REF_CLOSE: (3), (69), (129) are inconsistent by sub-proof #1159.
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | Case 2:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | |   (130)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | REF_CLOSE: (3), (4), (5), (15), (16), (19), (20), (26), (30), (31),
% 244.38/48.46  | | | | | |            (32), (37), (38), (58), (63), (65), (130) are
% 244.38/48.46  | | | | | |            inconsistent by sub-proof #934.
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | End of split
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | End of split
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | End of split
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | Case 2:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (131)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 244.38/48.46  | |            op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (131) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (132)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (13), (20), (132) are inconsistent by sub-proof #461.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (133)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.38/48.46  | | |            op1(e11, e10) = e14)
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (7), (30), (35), (53), (63), (133) are inconsistent by
% 244.38/48.46  | | |            sub-proof #468.
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | End of split
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #393 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.38/48.46    (2)  all_25_18 = e10
% 244.38/48.46    (3)   ~ (e11 = e10)
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | ALPHA: (1) implies:
% 244.38/48.46  |   (4)  all_25_18 = e11
% 244.38/48.46  | 
% 244.38/48.46  | COMBINE_EQS: (2), (4) imply:
% 244.38/48.46  |   (5)  e11 = e10
% 244.38/48.46  | 
% 244.38/48.46  | REDUCE: (3), (5) imply:
% 244.38/48.46  |   (6)  $false
% 244.38/48.46  | 
% 244.38/48.46  | CLOSE: (6) is inconsistent.
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #394 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)   ~ (e14 = e10)
% 244.38/48.46    (2)  all_25_19 = e12
% 244.38/48.46    (3)  all_25_6 = e11
% 244.38/48.46    (4)  op1(e14, unit1) = e14
% 244.38/48.46    (5)  all_25_24 = e10
% 244.38/48.46    (6)   ~ (e12 = e11)
% 244.38/48.46    (7)   ~ (e14 = e11)
% 244.38/48.46    (8)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.38/48.46           = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.38/48.46           op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.38/48.46    (9)   ~ (e13 = e10)
% 244.38/48.46    (10)   ~ (all_14_17 = e14)
% 244.38/48.46    (11)  op1(e13, unit1) = e13
% 244.38/48.46    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.38/48.46              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.38/48.46            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.46    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.46    (14)   ~ (e13 = e11)
% 244.38/48.46    (15)  op1(e13, e12) = e10
% 244.38/48.46    (16)  op1(e12, e11) = all_14_17
% 244.38/48.46    (17)   ~ (e11 = e10)
% 244.38/48.46    (18)   ~ (e13 = e12)
% 244.38/48.46    (19)  all_25_7 = e10
% 244.38/48.46    (20)  all_25_8 = e12
% 244.38/48.46    (21)  op1(e10, unit1) = e10
% 244.38/48.46    (22)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.46    (23)   ~ (all_14_19 = e10)
% 244.38/48.46    (24)  op1(e10, e11) = all_14_19
% 244.38/48.46    (25)  op1(e13, e14) = e12
% 244.38/48.46    (26)   ~ (e14 = e12)
% 244.38/48.46    (27)  all_25_17 = e13
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | BETA: splitting (8) gives:
% 244.38/48.46  | 
% 244.38/48.46  | Case 1:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (28)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12,
% 244.38/48.46  | |             e13) = e14)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (28) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (29)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (3), (7), (29) are inconsistent by sub-proof #1007.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (30)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | ALPHA: (30) implies:
% 244.38/48.46  | | |   (31)  all_25_7 = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (1), (19), (31) are inconsistent by sub-proof #1251.
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | Case 2:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (32)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 & op1(e12,
% 244.38/48.46  | |             e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (32) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (33)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (20), (26), (33) are inconsistent by sub-proof #395.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (34)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 244.38/48.46  | | |           op1(e12, e10) = e14)
% 244.38/48.46  | | | 
% 244.38/48.46  | | | BETA: splitting (34) gives:
% 244.38/48.46  | | | 
% 244.38/48.46  | | | Case 1:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (35)  all_25_11 = e14 & op1(e12, e11) = e14
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (10), (13), (16), (35) are inconsistent by sub-proof #1162.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | Case 2:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (36)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | ALPHA: (36) implies:
% 244.38/48.46  | | | |   (37)  all_25_18 = e14
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (11), (12), (13), (14), (15),
% 244.38/48.46  | | | |            (17), (18), (21), (22), (23), (24), (25), (27), (37) are
% 244.38/48.46  | | | |            inconsistent by sub-proof #938.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | End of split
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | End of split
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #395 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.38/48.46    (2)  all_25_8 = e12
% 244.38/48.46    (3)   ~ (e14 = e12)
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | ALPHA: (1) implies:
% 244.38/48.46  |   (4)  all_25_8 = e14
% 244.38/48.46  | 
% 244.38/48.46  | COMBINE_EQS: (2), (4) imply:
% 244.38/48.46  |   (5)  e14 = e12
% 244.38/48.46  | 
% 244.38/48.46  | REDUCE: (3), (5) imply:
% 244.38/48.46  |   (6)  $false
% 244.38/48.46  | 
% 244.38/48.46  | CLOSE: (6) is inconsistent.
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #396 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_9 = e10
% 244.38/48.46    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.38/48.46             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.38/48.46           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.46    (3)   ~ (e14 = e10)
% 244.38/48.46    (4)  op1(e10, e13) = all_14_9
% 244.38/48.46    (5)  all_25_2 = e12
% 244.38/48.46    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.46    (7)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.46           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.46           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.46    (8)  all_25_24 = e10
% 244.38/48.46    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.38/48.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.38/48.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.38/48.46    (10)   ~ (e12 = e11)
% 244.38/48.46    (11)   ~ (e14 = e11)
% 244.38/48.46    (12)  all_25_3 = e11
% 244.38/48.46    (13)  op1(e10, e13) = e13
% 244.38/48.46    (14)   ~ (e13 = e10)
% 244.38/48.46    (15)   ~ (e14 = e13)
% 244.38/48.46    (16)  all_25_11 = e13
% 244.38/48.46    (17)  op1(e13, unit1) = e13
% 244.38/48.46    (18)  all_25_21 = e13
% 244.38/48.46    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.46    (20)   ~ (e13 = e11)
% 244.38/48.46    (21)  all_25_20 = e10
% 244.38/48.46    (22)  op1(e13, e12) = e10
% 244.38/48.46    (23)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 244.38/48.46              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.38/48.46            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.38/48.46    (24)   ~ (e11 = e10)
% 244.38/48.46    (25)   ~ (e13 = e12)
% 244.38/48.46    (26)  op1(e13, e13) = e11
% 244.38/48.46    (27)   ~ (e12 = e10)
% 244.38/48.46    (28)  all_25_10 = e14
% 244.38/48.46    (29)   ~ (all_14_9 = e12)
% 244.38/48.46    (30)   ~ (all_14_19 = e14)
% 244.38/48.46    (31)   ~ (all_14_14 = e13)
% 244.38/48.46    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.38/48.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.38/48.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.38/48.46    (33)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.46              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.46            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.46    (34)   ~ (all_14_19 = e13)
% 244.38/48.46    (35)  op1(e10, unit1) = e10
% 244.38/48.46    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.46    (37)  op1(unit1, e14) = e14
% 244.38/48.46    (38)  op1(e14, e12) = all_14_10
% 244.38/48.46    (39)   ~ (all_14_10 = e12)
% 244.38/48.46    (40)   ~ (all_14_19 = e10)
% 244.38/48.46    (41)  op1(unit1, e12) = e12
% 244.38/48.46    (42)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.38/48.46              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.38/48.46            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.38/48.46    (43)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.46    (44)  op1(e10, e11) = all_14_19
% 244.38/48.46    (45)  op1(e10, e12) = all_14_14
% 244.38/48.46    (46)  op1(e13, e14) = e12
% 244.38/48.46    (47)   ~ (e14 = e12)
% 244.38/48.46    (48)  all_25_17 = e13
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | BETA: splitting (33) gives:
% 244.38/48.46  | 
% 244.38/48.46  | Case 1:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (49)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 244.38/48.46  | |           op1(e10, e13) = e14)
% 244.38/48.46  | | 
% 244.38/48.46  | | REF_CLOSE: (3), (5), (6), (8), (11), (12), (14), (15), (19), (20), (21),
% 244.38/48.46  | |            (22), (25), (26), (31), (34), (42), (43), (44), (45), (47), (48),
% 244.38/48.46  | |            (49) are inconsistent by sub-proof #1212.
% 244.38/48.46  | | 
% 244.38/48.46  | Case 2:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (50)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 244.38/48.46  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (50) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (51)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | ALPHA: (51) implies:
% 244.38/48.46  | | |   (52)  op1(e10, e12) = e14
% 244.38/48.46  | | | 
% 244.38/48.46  | | | BETA: splitting (23) gives:
% 244.38/48.46  | | | 
% 244.38/48.46  | | | Case 1:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (53)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 244.38/48.46  | | | |           op1(e10, e13) = e12)
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (3), (4), (5), (6), (9), (10), (11), (14), (15), (19), (20),
% 244.38/48.46  | | | |            (21), (22), (24), (25), (26), (27), (29), (32), (43), (47),
% 244.38/48.46  | | | |            (53) are inconsistent by sub-proof #1211.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | Case 2:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (54)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 244.38/48.46  | | | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | BETA: splitting (54) gives:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | Case 1:
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | |   (55)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | ALPHA: (55) implies:
% 244.38/48.46  | | | | |   (56)  all_25_22 = e12
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | REF_CLOSE: (3), (8), (13), (15), (19), (21), (30), (33), (44), (47),
% 244.38/48.46  | | | | |            (56) are inconsistent by sub-proof #1205.
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | Case 2:
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | |   (57)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 244.38/48.46  | | | | |           op1(e10, e10) = e12)
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | BETA: splitting (57) gives:
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | | Case 1:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | |   (58)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | ALPHA: (58) implies:
% 244.38/48.46  | | | | | |   (59)  all_25_23 = e12
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | BETA: splitting (7) gives:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | Case 1:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | |   (60)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11
% 244.38/48.46  | | | | | | |           & op1(e13, e11) = e11)
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | REF_CLOSE: (1), (11), (24), (28), (60) are inconsistent by
% 244.38/48.46  | | | | | | |            sub-proof #983.
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | Case 2:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | |   (61)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11
% 244.38/48.46  | | | | | | |           & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 244.38/48.46  | | | | | | |             e11) = e11)
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | BETA: splitting (61) gives:
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | | Case 1:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | |   (62)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | REF_CLOSE: (16), (20), (62) are inconsistent by sub-proof #423.
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | |   (63)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 =
% 244.38/48.46  | | | | | | | |           e11 & op1(e10, e11) = e11)
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | BETA: splitting (63) gives:
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | | Case 1:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | |   (64)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | ALPHA: (64) implies:
% 244.38/48.46  | | | | | | | | |   (65)  all_25_15 = e11
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | REF_CLOSE: (1), (2), (7), (8), (10), (11), (14), (16), (17),
% 244.38/48.46  | | | | | | | | |            (18), (19), (20), (22), (24), (25), (28), (35),
% 244.38/48.46  | | | | | | | | |            (36), (37), (38), (39), (40), (41), (44), (46),
% 244.38/48.46  | | | | | | | | |            (52), (59), (65) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | | |            #397.
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | Case 2:
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | |   (66)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | | REF_CLOSE: (10), (59), (66) are inconsistent by sub-proof
% 244.38/48.46  | | | | | | | | |            #1127.
% 244.38/48.46  | | | | | | | | | 
% 244.38/48.46  | | | | | | | | End of split
% 244.38/48.46  | | | | | | | | 
% 244.38/48.46  | | | | | | | End of split
% 244.38/48.46  | | | | | | | 
% 244.38/48.46  | | | | | | End of split
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | Case 2:
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | |   (67)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (10), (11), (14), (15), (19),
% 244.38/48.46  | | | | | |            (20), (22), (24), (25), (26), (27), (32), (43), (47),
% 244.38/48.46  | | | | | |            (67) are inconsistent by sub-proof #1261.
% 244.38/48.46  | | | | | | 
% 244.38/48.46  | | | | | End of split
% 244.38/48.46  | | | | | 
% 244.38/48.46  | | | | End of split
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | End of split
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (68)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 244.38/48.46  | | |           op1(e10, e10) = e14)
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (3), (8), (19), (30), (44), (68) are inconsistent by sub-proof
% 244.38/48.46  | | |            #1034.
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | End of split
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #397 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_9 = e10
% 244.38/48.46    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.38/48.46             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.38/48.46           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.46    (3)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.46           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.46           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.46    (4)  all_25_24 = e10
% 244.38/48.46    (5)   ~ (e12 = e11)
% 244.38/48.46    (6)   ~ (e14 = e11)
% 244.38/48.46    (7)   ~ (e13 = e10)
% 244.38/48.46    (8)  op1(e10, e12) = e14
% 244.38/48.46    (9)  all_25_11 = e13
% 244.38/48.46    (10)  op1(e13, unit1) = e13
% 244.38/48.46    (11)  all_25_21 = e13
% 244.38/48.46    (12)  all_25_15 = e11
% 244.38/48.46    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.46    (14)   ~ (e13 = e11)
% 244.38/48.46    (15)  op1(e13, e12) = e10
% 244.38/48.46    (16)   ~ (e11 = e10)
% 244.38/48.46    (17)   ~ (e13 = e12)
% 244.38/48.46    (18)  all_25_10 = e14
% 244.38/48.46    (19)  op1(e10, unit1) = e10
% 244.38/48.46    (20)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.46    (21)  op1(unit1, e14) = e14
% 244.38/48.46    (22)  op1(e14, e12) = all_14_10
% 244.38/48.46    (23)   ~ (all_14_10 = e12)
% 244.38/48.46    (24)   ~ (all_14_19 = e10)
% 244.38/48.46    (25)  op1(unit1, e12) = e12
% 244.38/48.46    (26)  op1(e10, e11) = all_14_19
% 244.38/48.46    (27)  op1(e13, e14) = e12
% 244.38/48.46    (28)  all_25_23 = e12
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | BETA: splitting (2) gives:
% 244.38/48.46  | 
% 244.38/48.46  | Case 1:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (29)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 244.38/48.46  | |           op1(e10, e13) = e11)
% 244.38/48.46  | | 
% 244.38/48.46  | | REF_CLOSE: (5), (7), (8), (10), (11), (13), (14), (15), (17), (19), (20),
% 244.38/48.46  | |            (21), (24), (25), (26), (27), (29) are inconsistent by sub-proof
% 244.38/48.46  | |            #424.
% 244.38/48.46  | | 
% 244.38/48.46  | Case 2:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (30)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 244.38/48.46  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (30) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (31)  all_25_22 = e11 & op1(e10, e12) = e11
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (5), (7), (10), (13), (15), (19), (20), (22), (23), (24), (25),
% 244.38/48.46  | | |            (26), (31) are inconsistent by sub-proof #1266.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (32)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 244.38/48.46  | | |           op1(e10, e10) = e11)
% 244.38/48.46  | | | 
% 244.38/48.46  | | | BETA: splitting (32) gives:
% 244.38/48.46  | | | 
% 244.38/48.46  | | | Case 1:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (33)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (5), (28), (33) are inconsistent by sub-proof #1127.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | Case 2:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (34)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | ALPHA: (34) implies:
% 244.38/48.46  | | | |   (35)  all_25_24 = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | COMBINE_EQS: (4), (35) imply:
% 244.38/48.46  | | | |   (36)  e11 = e10
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (1), (3), (5), (6), (9), (12), (14), (16), (18), (28), (36)
% 244.38/48.46  | | | |            are inconsistent by sub-proof #398.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | End of split
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | End of split
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #398 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_9 = e10
% 244.38/48.46    (2)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.46           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.46           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.46    (3)   ~ (e12 = e11)
% 244.38/48.46    (4)   ~ (e14 = e11)
% 244.38/48.46    (5)  all_25_11 = e13
% 244.38/48.46    (6)  all_25_15 = e11
% 244.38/48.46    (7)  e11 = e10
% 244.38/48.46    (8)   ~ (e13 = e11)
% 244.38/48.46    (9)   ~ (e11 = e10)
% 244.38/48.46    (10)  all_25_10 = e14
% 244.38/48.46    (11)  all_25_23 = e12
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | SIMP: (7) implies:
% 244.38/48.46  |   (12)  e11 = e10
% 244.38/48.46  | 
% 244.38/48.46  | COMBINE_EQS: (6), (12) imply:
% 244.38/48.46  |   (13)  all_25_15 = e10
% 244.38/48.46  | 
% 244.38/48.46  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (13) are
% 244.38/48.46  |            inconsistent by sub-proof #422.
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #399 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)   ~ (e14 = e10)
% 244.38/48.46    (2)  all_25_2 = e12
% 244.38/48.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.46    (4)  all_25_24 = e10
% 244.38/48.46    (5)   ~ (e12 = e11)
% 244.38/48.46    (6)   ~ (e14 = e11)
% 244.38/48.46    (7)  all_25_3 = e11
% 244.38/48.46    (8)   ~ (e13 = e10)
% 244.38/48.46    (9)   ~ (e14 = e13)
% 244.38/48.46    (10)  op1(e13, unit1) = e13
% 244.38/48.46    (11)  all_25_0 = e13
% 244.38/48.46    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.46    (13)   ~ (e13 = e11)
% 244.38/48.46    (14)  op1(e13, e12) = e10
% 244.38/48.46    (15)  all_25_12 = e10
% 244.38/48.46    (16)   ~ (e11 = e10)
% 244.38/48.46    (17)   ~ (e13 = e12)
% 244.38/48.46    (18)  op1(e13, e13) = e11
% 244.38/48.46    (19)   ~ (all_14_19 = e14)
% 244.38/48.46    (20)   ~ (all_14_14 = e13)
% 244.38/48.46    (21)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.38/48.46            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.38/48.46            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.38/48.46    (22)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.46              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.46            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.46    (23)   ~ (all_14_19 = e13)
% 244.38/48.46    (24)  op1(e10, unit1) = e10
% 244.38/48.46    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.46    (26)  op1(unit1, e14) = e14
% 244.38/48.46    (27)   ~ (all_14_19 = e10)
% 244.38/48.46    (28)  op1(unit1, e12) = e12
% 244.38/48.46    (29)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.38/48.46              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.38/48.46            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.38/48.46    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.46    (31)  op1(e10, e11) = all_14_19
% 244.38/48.46    (32)  all_25_6 = e12
% 244.38/48.46    (33)  op1(e10, e12) = all_14_14
% 244.38/48.46    (34)  op1(e13, e14) = e12
% 244.38/48.46    (35)   ~ (e14 = e12)
% 244.38/48.46    (36)  all_25_17 = e13
% 244.38/48.46  
% 244.38/48.46  Begin of proof
% 244.38/48.46  | 
% 244.38/48.46  | BETA: splitting (21) gives:
% 244.38/48.46  | 
% 244.38/48.46  | Case 1:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (37)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 244.38/48.46  | |             e14) = e11)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (37) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (38)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (11), (13), (38) are inconsistent by sub-proof #1241.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (39)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (2), (5), (39) are inconsistent by sub-proof #1189.
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | Case 2:
% 244.38/48.46  | | 
% 244.38/48.46  | |   (40)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 244.38/48.46  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.38/48.46  | | 
% 244.38/48.46  | | BETA: splitting (40) gives:
% 244.38/48.46  | | 
% 244.38/48.46  | | Case 1:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (41)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.38/48.46  | | | 
% 244.38/48.46  | | | REF_CLOSE: (5), (32), (41) are inconsistent by sub-proof #980.
% 244.38/48.46  | | | 
% 244.38/48.46  | | Case 2:
% 244.38/48.46  | | | 
% 244.38/48.46  | | |   (42)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 244.38/48.46  | | |           op1(e10, e14) = e11)
% 244.38/48.46  | | | 
% 244.38/48.46  | | | BETA: splitting (42) gives:
% 244.38/48.46  | | | 
% 244.38/48.46  | | | Case 1:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (43)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | ALPHA: (43) implies:
% 244.38/48.46  | | | |   (44)  all_25_12 = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (15), (16), (44) are inconsistent by sub-proof #1177.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | Case 2:
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | |   (45)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | ALPHA: (45) implies:
% 244.38/48.46  | | | |   (46)  all_25_20 = e11
% 244.38/48.46  | | | |   (47)  op1(e10, e14) = e11
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 244.38/48.46  | | | |            (13), (14), (17), (18), (19), (20), (22), (23), (24), (25),
% 244.38/48.46  | | | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36),
% 244.38/48.46  | | | |            (46), (47) are inconsistent by sub-proof #947.
% 244.38/48.46  | | | | 
% 244.38/48.46  | | | End of split
% 244.38/48.46  | | | 
% 244.38/48.46  | | End of split
% 244.38/48.46  | | 
% 244.38/48.46  | End of split
% 244.38/48.46  | 
% 244.38/48.46  End of proof
% 244.38/48.46  
% 244.38/48.46  Sub-proof #400 shows that the following formulas are inconsistent:
% 244.38/48.46  ----------------------------------------------------------------
% 244.38/48.46    (1)  all_25_9 = e10
% 244.38/48.46    (2)   ~ (e14 = e10)
% 244.38/48.46    (3)  all_25_2 = e12
% 244.38/48.46    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.46    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.46           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.46           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.46    (6)  all_25_15 = e12
% 244.38/48.46    (7)  all_25_1 = e12
% 244.38/48.46    (8)  op1(e14, unit1) = e14
% 244.38/48.46    (9)  all_25_24 = e10
% 244.38/48.46    (10)  all_25_22 = e12
% 244.38/48.46    (11)  all_25_20 = e14
% 244.38/48.46    (12)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.38/48.46              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.38/48.46            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.38/48.47    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.38/48.47            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.38/48.47            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.38/48.47    (14)  all_25_14 = e13
% 244.38/48.47    (15)   ~ (e12 = e11)
% 244.38/48.47    (16)   ~ (e14 = e11)
% 244.38/48.47    (17)  all_25_3 = e11
% 244.38/48.47    (18)  op1(e10, e13) = e13
% 244.38/48.47    (19)   ~ (e13 = e10)
% 244.38/48.47    (20)  op1(e11, e12) = all_14_13
% 244.38/48.47    (21)   ~ (e14 = e13)
% 244.38/48.47    (22)  op1(e12, e10) = e12
% 244.38/48.47    (23)   ~ (all_14_15 = e12)
% 244.38/48.47    (24)  all_25_11 = e13
% 244.38/48.47    (25)  op1(e14, e11) = all_14_15
% 244.38/48.47    (26)  op1(e13, unit1) = e13
% 244.38/48.47    (27)  all_25_19 = e14
% 244.38/48.47    (28)  op1(e13, e11) = e14
% 244.38/48.47    (29)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.38/48.47              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.38/48.47            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.47    (30)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.38/48.47              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.38/48.47            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.47    (31)  all_25_21 = e13
% 244.38/48.47    (32)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.38/48.47              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.38/48.47            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (33)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.47    (34)   ~ (e13 = e11)
% 244.38/48.47    (35)  op1(e13, e12) = e10
% 244.38/48.47    (36)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.38/48.47              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.38/48.47            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.38/48.47    (37)   ~ (e11 = e10)
% 244.38/48.47    (38)   ~ (all_14_13 = e10)
% 244.38/48.47    (39)   ~ (e13 = e12)
% 244.38/48.47    (40)  op1(e13, e13) = e11
% 244.38/48.47    (41)   ~ (e12 = e10)
% 244.38/48.47    (42)  all_25_10 = e14
% 244.38/48.47    (43)   ~ (all_14_19 = e14)
% 244.38/48.47    (44)   ~ (all_14_14 = e13)
% 244.38/48.47    (45)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.38/48.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.38/48.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.38/48.47    (46)  all_25_7 = e14
% 244.38/48.47    (47)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.47              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.47            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (48)   ~ (all_14_19 = e13)
% 244.38/48.47    (49)  op1(e10, unit1) = e10
% 244.38/48.47    (50)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.38/48.47    (51)  all_25_18 = e12
% 244.38/48.47    (52)   ~ (all_14_19 = e10)
% 244.38/48.47    (53)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.38/48.47            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.38/48.47            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.38/48.47    (54)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.38/48.47              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.38/48.47            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.38/48.47    (55)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.47    (56)  op1(e10, e11) = all_14_19
% 244.38/48.47    (57)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.38/48.47            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.38/48.47    (58)  op1(e10, e12) = all_14_14
% 244.38/48.47    (59)  op1(e13, e14) = e12
% 244.38/48.47    (60)   ~ (e14 = e12)
% 244.38/48.47    (61)  all_25_17 = e13
% 244.38/48.47  
% 244.38/48.47  Begin of proof
% 244.38/48.47  | 
% 244.38/48.47  | BETA: splitting (29) gives:
% 244.38/48.47  | 
% 244.38/48.47  | Case 1:
% 244.38/48.47  | | 
% 244.38/48.47  | |   (62)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 244.38/48.47  | |           op1(e13, e10) = e11)
% 244.38/48.47  | | 
% 244.38/48.47  | | BETA: splitting (62) gives:
% 244.38/48.47  | | 
% 244.38/48.47  | | Case 1:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (63)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.38/48.47  | | | 
% 244.38/48.47  | | | REF_CLOSE: (8), (16), (19), (26), (33), (35), (39), (49), (50), (52),
% 244.38/48.47  | | |            (56), (59), (63) are inconsistent by sub-proof #941.
% 244.38/48.47  | | | 
% 244.38/48.47  | | Case 2:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (64)  all_25_17 = e11 & op1(e13, e10) = e11
% 244.38/48.47  | | | 
% 244.38/48.47  | | | REF_CLOSE: (34), (61), (64) are inconsistent by sub-proof #940.
% 244.38/48.47  | | | 
% 244.38/48.47  | | End of split
% 244.38/48.47  | | 
% 244.38/48.47  | Case 2:
% 244.38/48.47  | | 
% 244.38/48.47  | |   (65)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 244.38/48.47  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.47  | | 
% 244.38/48.47  | | BETA: splitting (65) gives:
% 244.38/48.47  | | 
% 244.38/48.47  | | Case 1:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (66)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.38/48.47  | | | 
% 244.38/48.47  | | | ALPHA: (66) implies:
% 244.38/48.47  | | |   (67)  op1(e12, e10) = e11
% 244.38/48.47  | | | 
% 244.38/48.47  | | | REF_CLOSE: (15), (22), (33), (67) are inconsistent by sub-proof #926.
% 244.38/48.47  | | | 
% 244.38/48.47  | | Case 2:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (68)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 244.38/48.47  | | |           op1(e10, e10) = e11)
% 244.38/48.47  | | | 
% 244.38/48.47  | | | BETA: splitting (68) gives:
% 244.38/48.47  | | | 
% 244.38/48.47  | | | Case 1:
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | |   (69)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | | ALPHA: (69) implies:
% 244.38/48.47  | | | |   (70)  all_25_19 = e11
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | | COMBINE_EQS: (27), (70) imply:
% 244.38/48.47  | | | |   (71)  e14 = e11
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12),
% 244.38/48.47  | | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 244.38/48.47  | | | |            (23), (24), (25), (28), (29), (30), (31), (32), (33), (34),
% 244.38/48.47  | | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 244.38/48.47  | | | |            (45), (46), (47), (48), (51), (53), (54), (55), (56), (57),
% 244.38/48.47  | | | |            (58), (60), (61), (71) are inconsistent by sub-proof #401.
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | Case 2:
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | |   (72)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | | REF_CLOSE: (9), (37), (72) are inconsistent by sub-proof #1259.
% 244.38/48.47  | | | | 
% 244.38/48.47  | | | End of split
% 244.38/48.47  | | | 
% 244.38/48.47  | | End of split
% 244.38/48.47  | | 
% 244.38/48.47  | End of split
% 244.38/48.47  | 
% 244.38/48.47  End of proof
% 244.38/48.47  
% 244.38/48.47  Sub-proof #401 shows that the following formulas are inconsistent:
% 244.38/48.47  ----------------------------------------------------------------
% 244.38/48.47    (1)  all_25_9 = e10
% 244.38/48.47    (2)   ~ (e14 = e10)
% 244.38/48.47    (3)  all_25_2 = e12
% 244.38/48.47    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.47    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.38/48.47           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.38/48.47           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.38/48.47    (6)  all_25_15 = e12
% 244.38/48.47    (7)  all_25_1 = e12
% 244.38/48.47    (8)  all_25_24 = e10
% 244.38/48.47    (9)  all_25_22 = e12
% 244.38/48.47    (10)  all_25_20 = e14
% 244.38/48.47    (11)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.38/48.47              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.38/48.47            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.38/48.47    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.38/48.47            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.38/48.47            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.38/48.47    (13)  all_25_14 = e13
% 244.38/48.47    (14)   ~ (e12 = e11)
% 244.38/48.47    (15)   ~ (e14 = e11)
% 244.38/48.47    (16)  all_25_3 = e11
% 244.38/48.47    (17)  op1(e10, e13) = e13
% 244.38/48.47    (18)   ~ (e13 = e10)
% 244.38/48.47    (19)  op1(e11, e12) = all_14_13
% 244.38/48.47    (20)   ~ (e14 = e13)
% 244.38/48.47    (21)  op1(e12, e10) = e12
% 244.38/48.47    (22)   ~ (all_14_15 = e12)
% 244.38/48.47    (23)  all_25_11 = e13
% 244.38/48.47    (24)  op1(e14, e11) = all_14_15
% 244.38/48.47    (25)  op1(e13, e11) = e14
% 244.38/48.47    (26)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.38/48.47              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.38/48.47            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.47    (27)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.38/48.47              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.38/48.47            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.38/48.47    (28)  all_25_21 = e13
% 244.38/48.47    (29)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.38/48.47              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.38/48.47            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.47    (31)  e14 = e11
% 244.38/48.47    (32)   ~ (e13 = e11)
% 244.38/48.47    (33)  op1(e13, e12) = e10
% 244.38/48.47    (34)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.38/48.47              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.38/48.47            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.38/48.47    (35)   ~ (e11 = e10)
% 244.38/48.47    (36)   ~ (all_14_13 = e10)
% 244.38/48.47    (37)   ~ (e13 = e12)
% 244.38/48.47    (38)  op1(e13, e13) = e11
% 244.38/48.47    (39)   ~ (e12 = e10)
% 244.38/48.47    (40)  all_25_10 = e14
% 244.38/48.47    (41)   ~ (all_14_19 = e14)
% 244.38/48.47    (42)   ~ (all_14_14 = e13)
% 244.38/48.47    (43)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.38/48.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.38/48.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.38/48.47    (44)  all_25_7 = e14
% 244.38/48.47    (45)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.47              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.47            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (46)   ~ (all_14_19 = e13)
% 244.38/48.47    (47)  all_25_18 = e12
% 244.38/48.47    (48)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.38/48.47            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.38/48.47            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.38/48.47    (49)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.38/48.47              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.38/48.47            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.38/48.47    (50)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.47    (51)  op1(e10, e11) = all_14_19
% 244.38/48.47    (52)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.38/48.47            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.38/48.47    (53)  op1(e10, e12) = all_14_14
% 244.38/48.47    (54)   ~ (e14 = e12)
% 244.38/48.47    (55)  all_25_17 = e13
% 244.38/48.47  
% 244.38/48.47  Begin of proof
% 244.38/48.47  | 
% 244.38/48.47  | SIMP: (31) implies:
% 244.38/48.47  |   (56)  e14 = e11
% 244.38/48.47  | 
% 244.38/48.47  | COMBINE_EQS: (44), (56) imply:
% 244.38/48.47  |   (57)  all_25_7 = e11
% 244.38/48.47  | 
% 244.38/48.47  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.38/48.47  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 244.38/48.47  |            (24), (25), (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 244.38/48.47  |            (36), (37), (38), (39), (40), (41), (42), (43), (45), (46), (47),
% 244.38/48.47  |            (48), (49), (50), (51), (52), (53), (54), (55), (57) are
% 244.38/48.47  |            inconsistent by sub-proof #409.
% 244.38/48.47  | 
% 244.38/48.47  End of proof
% 244.38/48.47  
% 244.38/48.47  Sub-proof #402 shows that the following formulas are inconsistent:
% 244.38/48.47  ----------------------------------------------------------------
% 244.38/48.47    (1)  all_25_9 = e10
% 244.38/48.47    (2)  op1(e11, e10) = all_14_23
% 244.38/48.47    (3)  op1(e12, e13) = all_14_7
% 244.38/48.47    (4)   ~ (e14 = e10)
% 244.38/48.47    (5)  all_25_2 = e12
% 244.38/48.47    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.38/48.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.38/48.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.38/48.47    (7)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 244.38/48.47           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.38/48.47             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 244.38/48.47           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 244.38/48.47           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 244.38/48.47           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 244.38/48.47           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 244.38/48.47           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 244.38/48.47             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 244.38/48.47           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 244.38/48.47           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 244.38/48.47             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 244.38/48.47           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.38/48.47           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 244.38/48.47           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 244.38/48.47           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 244.38/48.47           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 244.38/48.47           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 244.38/48.47           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 244.38/48.47           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 244.38/48.47           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 244.38/48.47           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 244.38/48.47           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.38/48.47             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 244.38/48.47           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 244.38/48.47             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 244.38/48.47           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 244.38/48.47           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 244.38/48.47           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 244.38/48.47           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.38/48.47             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 244.38/48.47           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 244.38/48.47             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 244.38/48.47           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 244.38/48.47             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 244.38/48.47         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 244.38/48.47           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.38/48.47             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 244.38/48.47           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 244.38/48.47             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 244.38/48.47           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 244.38/48.47           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 244.38/48.47           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 244.38/48.47           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.38/48.47             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 244.38/48.47           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 244.38/48.47             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 244.38/48.47           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 244.38/48.47             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.38/48.47         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 244.38/48.47           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.38/48.47             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 244.38/48.47           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 244.38/48.47             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 244.38/48.47           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 244.38/48.47           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 244.38/48.47           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 244.38/48.47           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.38/48.47             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 244.38/48.47           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 244.38/48.47             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 244.38/48.47           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 244.38/48.47             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.38/48.47         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 244.38/48.47           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.38/48.47             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 244.38/48.47           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 244.38/48.47             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 244.38/48.47           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 244.38/48.47             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.38/48.47    (8)  all_25_1 = e12
% 244.38/48.47    (9)  all_25_24 = e10
% 244.38/48.47    (10)  all_25_22 = e12
% 244.38/48.47    (11)  op1(e10, e12) = e12
% 244.38/48.47    (12)  all_25_20 = e14
% 244.38/48.47    (13)  op1(e10, e11) = e11
% 244.38/48.47    (14)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.38/48.47              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.38/48.47            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.38/48.47    (15)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.38/48.47            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.38/48.47            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.38/48.47    (16)  all_25_14 = e13
% 244.38/48.47    (17)   ~ (e12 = e11)
% 244.38/48.47    (18)   ~ (e14 = e11)
% 244.38/48.47    (19)  all_25_3 = e11
% 244.38/48.47    (20)  op1(e12, e11) = e13
% 244.38/48.47    (21)  op1(e10, e13) = e13
% 244.38/48.47    (22)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.38/48.47            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.38/48.47            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.38/48.47    (23)   ~ (e13 = e10)
% 244.38/48.47    (24)  op1(e10, e14) = e14
% 244.38/48.47    (25)  op1(e11, e12) = e13
% 244.38/48.47    (26)   ~ (e14 = e13)
% 244.38/48.47    (27)  op1(e12, e10) = e12
% 244.38/48.47    (28)  op1(e13, e11) = e14
% 244.38/48.47    (29)  all_25_19 = e11
% 244.38/48.47    (30)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.38/48.47              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.38/48.47            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.38/48.47    (31)  all_25_21 = e13
% 244.38/48.47    (32)  op1(e11, e13) = all_14_8
% 244.38/48.47    (33)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.38/48.47              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.38/48.47            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (34)  all_25_0 = e13
% 244.38/48.47    (35)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.38/48.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.38/48.47    (36)   ~ (e13 = e11)
% 244.38/48.47    (37)  op1(e13, e12) = e10
% 244.38/48.47    (38)  all_25_12 = e10
% 244.38/48.47    (39)   ~ (all_14_18 = e14)
% 244.38/48.47    (40)   ~ (e11 = e10)
% 244.38/48.47    (41)  op1(e12, e14) = all_14_2
% 244.38/48.47    (42)   ~ (e13 = e12)
% 244.38/48.47    (43)  op1(e13, e13) = e11
% 244.38/48.47    (44)  op1(e14, e11) = e10
% 244.38/48.47    (45)  op1(e11, e14) = all_14_3
% 244.38/48.47    (46)   ~ (e12 = e10)
% 244.38/48.47    (47)   ~ (all_14_19 = e14)
% 244.38/48.47    (48)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.38/48.47            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.38/48.47            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.38/48.47    (49)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.38/48.47            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.38/48.47            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.38/48.47    (50)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.38/48.47              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.38/48.47            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.38/48.47    (51)  op1(e14, e10) = all_14_20
% 244.38/48.47    (52)  op1(e13, e10) = e13
% 244.38/48.47    (53)  op1(e11, e10) = e11
% 244.38/48.47    (54)  op1(e14, e12) = all_14_10
% 244.38/48.47    (55)  all_25_18 = e12
% 244.38/48.47    (56)  op1(e11, e11) = all_14_18
% 244.38/48.47    (57)   ~ (all_14_20 = e10)
% 244.38/48.47    (58)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.38/48.47            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.38/48.47            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.38/48.47    (59)  op1(e11, e14) = e10
% 244.38/48.47    (60)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.38/48.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.38/48.47    (61)  op1(e10, e11) = all_14_19
% 244.38/48.47    (62)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.38/48.47            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.38/48.47            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.38/48.47    (63)  op1(e13, e14) = e12
% 244.38/48.47    (64)   ~ (e14 = e12)
% 244.38/48.47    (65)  op1(e14, e13) = e12
% 244.38/48.47    (66)  all_25_17 = e13
% 244.38/48.47  
% 244.38/48.47  Begin of proof
% 244.38/48.47  | 
% 244.38/48.47  | BETA: splitting (14) gives:
% 244.38/48.47  | 
% 244.38/48.47  | Case 1:
% 244.38/48.47  | | 
% 244.38/48.47  | |   (67)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 244.38/48.47  | |           op1(e11, e13) = e14)
% 244.38/48.47  | | 
% 244.38/48.47  | | BETA: splitting (67) gives:
% 244.38/48.47  | | 
% 244.38/48.47  | | Case 1:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (68)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.38/48.47  | | | 
% 244.38/48.47  | | | ALPHA: (68) implies:
% 244.38/48.47  | | |   (69)  all_25_12 = e14
% 244.38/48.47  | | | 
% 244.38/48.47  | | | COMBINE_EQS: (38), (69) imply:
% 244.38/48.47  | | |   (70)  e14 = e10
% 244.38/48.47  | | | 
% 244.38/48.47  | | | SIMP: (70) implies:
% 244.38/48.47  | | |   (71)  e14 = e10
% 244.38/48.47  | | | 
% 244.38/48.47  | | | COMBINE_EQS: (12), (71) imply:
% 244.38/48.47  | | |   (72)  all_25_20 = e10
% 244.38/48.47  | | | 
% 244.38/48.47  | | | REF_CLOSE: (4), (9), (10), (21), (26), (35), (47), (50), (61), (64), (72)
% 244.38/48.47  | | |            are inconsistent by sub-proof #1205.
% 244.38/48.47  | | | 
% 244.38/48.47  | | Case 2:
% 244.38/48.47  | | | 
% 244.38/48.47  | | |   (73)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.38/48.47  | | | 
% 244.38/48.47  | | | ALPHA: (73) implies:
% 244.38/48.47  | | |   (74)  all_25_13 = e14
% 244.38/48.47  | | |   (75)  op1(e11, e13) = e14
% 244.38/48.47  | | | 
% 244.38/48.47  | | | BETA: splitting (48) gives:
% 244.38/48.47  | | | 
% 244.38/48.47  | | | Case 1:
% 244.38/48.47  | | | | 
% 244.40/48.47  | | | |   (76)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 &
% 244.40/48.47  | | | |           op1(e13, e14) = e11)
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | | BETA: splitting (76) gives:
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | | Case 1:
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | |   (77)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | | REF_CLOSE: (34), (36), (77) are inconsistent by sub-proof #1241.
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | Case 2:
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | |   (78)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | | REF_CLOSE: (5), (17), (78) are inconsistent by sub-proof #1189.
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | End of split
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | Case 2:
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | |   (79)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.40/48.47  | | | |           op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | | BETA: splitting (79) gives:
% 244.40/48.47  | | | | 
% 244.40/48.47  | | | | Case 1:
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | |   (80)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | | ALPHA: (80) implies:
% 244.40/48.47  | | | | |   (81)  op1(e12, e14) = e11
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | | BETA: splitting (33) gives:
% 244.40/48.47  | | | | | 
% 244.40/48.47  | | | | | Case 1:
% 244.40/48.47  | | | | | | 
% 244.40/48.47  | | | | | |   (82)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 &
% 244.40/48.47  | | | | | |           op1(e13, e10) = e14)
% 244.40/48.47  | | | | | | 
% 244.40/48.47  | | | | | | BETA: splitting (82) gives:
% 244.40/48.47  | | | | | | 
% 244.40/48.47  | | | | | | Case 1:
% 244.40/48.47  | | | | | | | 
% 244.40/48.47  | | | | | | |   (83)  all_25_16 = e14 & op1(e14, e10) = e14
% 244.40/48.47  | | | | | | | 
% 244.40/48.47  | | | | | | | ALPHA: (83) implies:
% 244.40/48.47  | | | | | | |   (84)  all_25_16 = e14
% 244.40/48.47  | | | | | | |   (85)  op1(e14, e10) = e14
% 244.40/48.47  | | | | | | | 
% 244.40/48.47  | | | | | | | BETA: splitting (22) gives:
% 244.40/48.47  | | | | | | | 
% 244.40/48.47  | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | |   (86)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11
% 244.40/48.47  | | | | | | | |           & op1(e14, e13) = e11)
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | | BETA: splitting (86) gives:
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | |   (87)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | REF_CLOSE: (34), (36), (87) are inconsistent by sub-proof
% 244.40/48.47  | | | | | | | | |            #1241.
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | Case 2:
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | |   (88)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | REF_CLOSE: (8), (17), (88) are inconsistent by sub-proof
% 244.40/48.47  | | | | | | | | |            #1240.
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | End of split
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | Case 2:
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | |   (89)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11
% 244.40/48.47  | | | | | | | |           & op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14,
% 244.40/48.47  | | | | | | | |             e10) = e11)
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | | BETA: splitting (89) gives:
% 244.40/48.47  | | | | | | | | 
% 244.40/48.47  | | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | |   (90)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | ALPHA: (90) implies:
% 244.40/48.47  | | | | | | | | |   (91)  op1(e14, e12) = e11
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | BETA: splitting (58) gives:
% 244.40/48.47  | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | |   (92)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 =
% 244.40/48.47  | | | | | | | | | |           e10 & op1(e13, e13) = e10)
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (15), (17), (18), (23), (26),
% 244.40/48.47  | | | | | | | | | |            (35), (36), (37), (40), (42), (43), (46), (49),
% 244.40/48.47  | | | | | | | | | |            (60), (64), (92) are inconsistent by sub-proof
% 244.40/48.47  | | | | | | | | | |            #1279.
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | Case 2:
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | |   (93)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13
% 244.40/48.47  | | | | | | | | | |           = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 244.40/48.47  | | | | | | | | | |           op1(e10, e13) = e10)
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | BETA: splitting (93) gives:
% 244.40/48.47  | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | |   (94)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | ALPHA: (94) implies:
% 244.40/48.47  | | | | | | | | | | |   (95)  op1(e12, e13) = e10
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_23, e11, e10, e11,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (2), (53) gives:
% 244.40/48.47  | | | | | | | | | | |   (96)  all_14_23 = e11
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_8, e14, e13, e11,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (32), (75) gives:
% 244.40/48.47  | | | | | | | | | | |   (97)  all_14_8 = e14
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_3, e10, e14, e11,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (45), (59) gives:
% 244.40/48.47  | | | | | | | | | | |   (98)  all_14_3 = e10
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_7, e10, e13, e12,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (3), (95) gives:
% 244.40/48.47  | | | | | | | | | | |   (99)  all_14_7 = e10
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_2, e11, e14, e12,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (41), (81) gives:
% 244.40/48.47  | | | | | | | | | | |   (100)  all_14_2 = e11
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_20, e14, e10, e14,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (51), (85) gives:
% 244.40/48.47  | | | | | | | | | | |   (101)  all_14_20 = e14
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | GROUND_INST: instantiating (35) with all_14_10, e11, e12, e14,
% 244.40/48.47  | | | | | | | | | | |              simplifying with (54), (91) gives:
% 244.40/48.47  | | | | | | | | | | |   (102)  all_14_10 = e11
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | BETA: splitting (7) gives:
% 244.40/48.47  | | | | | | | | | | | 
% 244.40/48.47  | | | | | | | | | | | Case 1:
% 244.40/48.47  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | |   (103)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 244.40/48.48  | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 244.40/48.48  | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 244.40/48.48  | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | |   (104)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (105)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (106)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |            e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_0) & $i(all_23_10) & $i(all_23_11)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (4), (35), (65), (95), (106) are inconsistent by
% 244.40/48.48  | | | | | | | | | | | | | | |            sub-proof #1062.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (107)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_2) & $i(all_23_20) & $i(all_23_21)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (108)   ~ (all_23_20 = all_23_21)
% 244.40/48.48  | | | | | | | | | | | | | | |   (109)  op1(e12, e14) = all_23_20
% 244.40/48.48  | | | | | | | | | | | | | | |   (110)  op1(e14, e12) = all_23_21
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (35), (81), (91), (108), (109), (110) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (111)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (112)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (113)   ~ (all_23_32 = all_23_33)
% 244.40/48.48  | | | | | | | | | | | | | | |   (114)  op1(e11, e14) = all_23_32
% 244.40/48.48  | | | | | | | | | | | | | | |   (115)  op1(e14, e11) = all_23_33
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (35), (44), (59), (113), (114), (115) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (116)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (24), (35), (63), (65), (85), (116) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | |   (117)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | BETA: splitting (117) gives:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (118)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | REF_CLOSE: (28), (35), (37), (75), (95), (118) are
% 244.40/48.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #1054.
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (119)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (120)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (121)   ~ (all_23_50 = all_23_51)
% 244.40/48.48  | | | | | | | | | | | | | | |   (122)  op1(e10, e13) = all_23_50
% 244.40/48.48  | | | | | | | | | | | | | | |   (123)  op1(e13, e10) = all_23_51
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (21), (35), (52), (121), (122), (123) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (124)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (125)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (126)   ~ (all_23_20 = all_23_21)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (127)  op1(e12, e14) = all_23_20
% 244.40/48.48  | | | | | | | | | | | | | | | |   (128)  op1(e14, e12) = all_23_21
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (81), (91), (126), (127), (128) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (129)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (130)   ~ (all_23_24 = all_23_25)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (131)  op1(e12, e13) = all_23_24
% 244.40/48.48  | | | | | | | | | | | | | | | |   (132)  op1(e13, e12) = all_23_25
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (37), (95), (130), (131), (132) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | |   (133)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 244.40/48.48  | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 244.40/48.48  | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 244.40/48.48  | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 244.40/48.48  | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 244.40/48.48  | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 244.40/48.48  | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 244.40/48.48  | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 244.40/48.48  | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | BETA: splitting (133) gives:
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | |   (134)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 244.40/48.48  | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (135)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (136)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (136) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (137)   ~ (all_23_40 = all_23_41)
% 244.40/48.48  | | | | | | | | | | | | | | |   (138)  op1(e11, e12) = all_23_40
% 244.40/48.48  | | | | | | | | | | | | | | |   (139)  op1(e12, e11) = all_23_41
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (35), (137), (138), (139) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (140)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (141)   ~ (all_23_54 = all_23_55)
% 244.40/48.48  | | | | | | | | | | | | | | |   (142)  op1(e10, e12) = all_23_54
% 244.40/48.48  | | | | | | | | | | | | | | |   (143)  op1(e12, e10) = all_23_55
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (35), (141), (142), (143) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #993.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (144)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 244.40/48.48  | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (145)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |          e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (146)   ~ (all_23_32 = all_23_33)
% 244.40/48.48  | | | | | | | | | | | | | | |   (147)  op1(e11, e14) = all_23_32
% 244.40/48.48  | | | | | | | | | | | | | | |   (148)  op1(e14, e11) = all_23_33
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (35), (44), (59), (146), (147), (148) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (149)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (150)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (151)   ~ (all_23_36 = all_23_37)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (152)  op1(e11, e13) = all_23_36
% 244.40/48.48  | | | | | | | | | | | | | | | |   (153)  op1(e13, e11) = all_23_37
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (28), (35), (75), (151), (152), (153) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1055.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (154)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (155)   ~ (all_23_40 = all_23_41)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (156)  op1(e11, e12) = all_23_40
% 244.40/48.48  | | | | | | | | | | | | | | | |   (157)  op1(e12, e11) = all_23_41
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (35), (155), (156), (157) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | |   (158)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 244.40/48.48  | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 244.40/48.48  | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 244.40/48.48  | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 244.40/48.48  | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 244.40/48.48  | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | BETA: splitting (158) gives:
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (159)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 244.40/48.48  | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 244.40/48.48  | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (160)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 244.40/48.48  | | | | | | | | | | | | | | |          all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (161)   ~ (all_23_58 = all_23_59)
% 244.40/48.48  | | | | | | | | | | | | | | |   (162)  op1(e10, e11) = all_23_58
% 244.40/48.48  | | | | | | | | | | | | | | |   (163)  op1(e11, e10) = all_23_59
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (13), (35), (53), (161), (162), (163) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (164)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 244.40/48.48  | | | | | | | | | | | | | | |          e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 244.40/48.48  | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (165)   ~ (all_23_46 = all_23_47)
% 244.40/48.48  | | | | | | | | | | | | | | |   (166)  op1(e10, e14) = all_23_46
% 244.40/48.48  | | | | | | | | | | | | | | |   (167)  op1(e14, e10) = all_23_47
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (24), (35), (85), (165), (166), (167) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1059.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | |   (168)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 244.40/48.48  | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 244.40/48.48  | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 244.40/48.48  | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (169)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 244.40/48.48  | | | | | | | | | | | | | | |          e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 244.40/48.48  | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 244.40/48.48  | | | | | | | | | | | | | | |          $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 244.40/48.48  | | | | | | | | | | | | | | |   (170)   ~ (all_23_50 = all_23_51)
% 244.40/48.48  | | | | | | | | | | | | | | |   (171)  op1(e10, e13) = all_23_50
% 244.40/48.48  | | | | | | | | | | | | | | |   (172)  op1(e13, e10) = all_23_51
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | REF_CLOSE: (21), (35), (52), (170), (171), (172) are
% 244.40/48.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | |   (173)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 244.40/48.48  | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 244.40/48.48  | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (174)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (175)   ~ (all_23_54 = all_23_55)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (176)  op1(e10, e12) = all_23_54
% 244.40/48.48  | | | | | | | | | | | | | | | |   (177)  op1(e12, e10) = all_23_55
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (35), (175), (176), (177) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #993.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | |   (178)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 244.40/48.48  | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 244.40/48.48  | | | | | | | | | | | | | | | |          e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 244.40/48.48  | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 244.40/48.48  | | | | | | | | | | | | | | | |          $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 244.40/48.48  | | | | | | | | | | | | | | | |   (179)   ~ (all_23_58 = all_23_59)
% 244.40/48.48  | | | | | | | | | | | | | | | |   (180)  op1(e10, e11) = all_23_58
% 244.40/48.48  | | | | | | | | | | | | | | | |   (181)  op1(e11, e10) = all_23_59
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (35), (53), (179), (180), (181) are
% 244.40/48.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 244.40/48.48  | | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | |   (182)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.40/48.48  | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.48  | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | BETA: splitting (182) gives:
% 244.40/48.48  | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | |   (183)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | REF_CLOSE: (4), (9), (10), (12), (21), (26), (35), (47),
% 244.40/48.48  | | | | | | | | | | | |            (50), (61), (64), (74), (183) are inconsistent by
% 244.40/48.48  | | | | | | | | | | | |            sub-proof #1139.
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | |   (184)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (18), (19), (23), (26), (31), (35),
% 244.40/48.48  | | | | | | | | | | | |            (36), (37), (42), (43), (60), (64), (66), (184)
% 244.40/48.48  | | | | | | | | | | | |            are inconsistent by sub-proof #1256.
% 244.40/48.48  | | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | 
% 244.40/48.48  | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | 
% 244.40/48.48  | | | | | | | | |   (185)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 =
% 244.40/48.48  | | | | | | | | |            e11 & op1(e14, e10) = e11)
% 244.40/48.48  | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | BETA: splitting (185) gives:
% 244.40/48.48  | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | |   (186)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (9), (17), (18), (23), (26),
% 244.40/48.48  | | | | | | | | | |            (27), (28), (29), (30), (33), (35), (36), (37),
% 244.40/48.48  | | | | | | | | | |            (40), (42), (43), (55), (64), (66), (186) are
% 244.40/48.48  | | | | | | | | | |            inconsistent by sub-proof #404.
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | Case 2:
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | |   (187)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | ALPHA: (187) implies:
% 244.40/48.48  | | | | | | | | | |   (188)  all_25_16 = e11
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | COMBINE_EQS: (84), (188) imply:
% 244.40/48.48  | | | | | | | | | |   (189)  e14 = e11
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | COMBINE_EQS: (74), (189) imply:
% 244.40/48.48  | | | | | | | | | |   (190)  all_25_13 = e11
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (15), (17), (18), (19), (21),
% 244.40/48.48  | | | | | | | | | |            (23), (26), (31), (35), (36), (37), (40), (42),
% 244.40/48.48  | | | | | | | | | |            (43), (46), (49), (58), (60), (62), (64), (66),
% 244.40/48.48  | | | | | | | | | |            (190) are inconsistent by sub-proof #446.
% 244.40/48.48  | | | | | | | | | | 
% 244.40/48.48  | | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | | 
% 244.40/48.48  | | | | | | | | End of split
% 244.40/48.48  | | | | | | | | 
% 244.40/48.48  | | | | | | | End of split
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | Case 2:
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | |   (191)  all_25_17 = e14 & op1(e13, e10) = e14
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | REF_CLOSE: (5), (6), (23), (26), (28), (35), (36), (37), (42),
% 244.40/48.48  | | | | | | |            (43), (191) are inconsistent by sub-proof #1136.
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | End of split
% 244.40/48.48  | | | | | | 
% 244.40/48.48  | | | | | Case 2:
% 244.40/48.48  | | | | | | 
% 244.40/48.48  | | | | | |   (192)  (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 = e14
% 244.40/48.48  | | | | | |            & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10)
% 244.40/48.48  | | | | | |            = e14)
% 244.40/48.48  | | | | | | 
% 244.40/48.48  | | | | | | BETA: splitting (192) gives:
% 244.40/48.48  | | | | | | 
% 244.40/48.48  | | | | | | Case 1:
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | |   (193)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | ALPHA: (193) implies:
% 244.40/48.48  | | | | | | |   (194)  all_25_18 = e14
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | COMBINE_EQS: (55), (194) imply:
% 244.40/48.48  | | | | | | |   (195)  e14 = e12
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | COMBINE_EQS: (74), (195) imply:
% 244.40/48.48  | | | | | | |   (196)  all_25_13 = e12
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | REF_CLOSE: (4), (5), (6), (8), (15), (17), (18), (19), (21), (23),
% 244.40/48.48  | | | | | | |            (26), (31), (35), (36), (37), (40), (42), (43), (46),
% 244.40/48.48  | | | | | | |            (49), (58), (60), (62), (64), (66), (196) are
% 244.40/48.48  | | | | | | |            inconsistent by sub-proof #471.
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | Case 2:
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | |   (197)  (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24 =
% 244.40/48.48  | | | | | | |            e14 & op1(e10, e10) = e14)
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | BETA: splitting (197) gives:
% 244.40/48.48  | | | | | | | 
% 244.40/48.48  | | | | | | | Case 1:
% 244.40/48.48  | | | | | | | | 
% 244.40/48.49  | | | | | | | |   (198)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | | ALPHA: (198) implies:
% 244.40/48.49  | | | | | | | |   (199)  all_25_19 = e14
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | | COMBINE_EQS: (29), (199) imply:
% 244.40/48.49  | | | | | | | |   (200)  e14 = e11
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | | COMBINE_EQS: (74), (200) imply:
% 244.40/48.49  | | | | | | | |   (201)  all_25_13 = e11
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (15), (17), (18), (19), (21),
% 244.40/48.49  | | | | | | | |            (23), (26), (31), (35), (36), (37), (40), (42), (43),
% 244.40/48.49  | | | | | | | |            (46), (49), (58), (60), (62), (64), (66), (201) are
% 244.40/48.49  | | | | | | | |            inconsistent by sub-proof #446.
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | Case 2:
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | |   (202)  all_25_24 = e14 & op1(e10, e10) = e14
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | | REF_CLOSE: (4), (9), (10), (12), (21), (26), (35), (47), (50),
% 244.40/48.49  | | | | | | | |            (61), (64), (202) are inconsistent by sub-proof
% 244.40/48.49  | | | | | | | |            #1135.
% 244.40/48.49  | | | | | | | | 
% 244.40/48.49  | | | | | | | End of split
% 244.40/48.49  | | | | | | | 
% 244.40/48.49  | | | | | | End of split
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | End of split
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | Case 2:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (203)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 244.40/48.49  | | | | |            op1(e10, e14) = e11)
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | BETA: splitting (203) gives:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | Case 1:
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | |   (204)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | ALPHA: (204) implies:
% 244.40/48.49  | | | | | |   (205)  all_25_12 = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | COMBINE_EQS: (38), (205) imply:
% 244.40/48.49  | | | | | |   (206)  e11 = e10
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | REF_CLOSE: (4), (5), (6), (9), (17), (18), (23), (26), (27), (28),
% 244.40/48.49  | | | | | |            (29), (30), (33), (35), (36), (37), (40), (42), (43),
% 244.40/48.49  | | | | | |            (55), (64), (66), (206) are inconsistent by sub-proof
% 244.40/48.49  | | | | | |            #403.
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | Case 2:
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | |   (207)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | ALPHA: (207) implies:
% 244.40/48.49  | | | | | |   (208)  all_25_20 = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | COMBINE_EQS: (12), (208) imply:
% 244.40/48.49  | | | | | |   (209)  e14 = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | SIMP: (209) implies:
% 244.40/48.49  | | | | | |   (210)  e14 = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | COMBINE_EQS: (74), (210) imply:
% 244.40/48.49  | | | | | |   (211)  all_25_13 = e11
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | REF_CLOSE: (4), (5), (6), (8), (15), (17), (18), (19), (21), (23),
% 244.40/48.49  | | | | | |            (26), (31), (35), (36), (37), (40), (42), (43), (46),
% 244.40/48.49  | | | | | |            (49), (58), (60), (62), (64), (66), (211) are
% 244.40/48.49  | | | | | |            inconsistent by sub-proof #446.
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | End of split
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | End of split
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | End of split
% 244.40/48.49  | | | 
% 244.40/48.49  | | End of split
% 244.40/48.49  | | 
% 244.40/48.49  | Case 2:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (212)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 244.40/48.49  | |            op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.40/48.49  | | 
% 244.40/48.49  | | BETA: splitting (212) gives:
% 244.40/48.49  | | 
% 244.40/48.49  | | Case 1:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (213)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (16), (26), (213) are inconsistent by sub-proof #461.
% 244.40/48.49  | | | 
% 244.40/48.49  | | Case 2:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (214)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.40/48.49  | | |            op1(e11, e10) = e14)
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (18), (29), (35), (39), (56), (214) are inconsistent by
% 244.40/48.49  | | |            sub-proof #1090.
% 244.40/48.49  | | | 
% 244.40/48.49  | | End of split
% 244.40/48.49  | | 
% 244.40/48.49  | End of split
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #403 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)   ~ (e14 = e10)
% 244.40/48.49    (2)  all_25_2 = e12
% 244.40/48.49    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.49    (4)  all_25_24 = e10
% 244.40/48.49    (5)   ~ (e12 = e11)
% 244.40/48.49    (6)   ~ (e14 = e11)
% 244.40/48.49    (7)   ~ (e13 = e10)
% 244.40/48.49    (8)   ~ (e14 = e13)
% 244.40/48.49    (9)  op1(e12, e10) = e12
% 244.40/48.49    (10)  op1(e13, e11) = e14
% 244.40/48.49    (11)  all_25_19 = e11
% 244.40/48.49    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.49              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.49            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.49    (13)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.49              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.49            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (14)  e11 = e10
% 244.40/48.49    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (16)   ~ (e13 = e11)
% 244.40/48.49    (17)  op1(e13, e12) = e10
% 244.40/48.49    (18)   ~ (e11 = e10)
% 244.40/48.49    (19)   ~ (e13 = e12)
% 244.40/48.49    (20)  op1(e13, e13) = e11
% 244.40/48.49    (21)  all_25_18 = e12
% 244.40/48.49    (22)   ~ (e14 = e12)
% 244.40/48.49    (23)  all_25_17 = e13
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | SIMP: (14) implies:
% 244.40/48.49  |   (24)  e11 = e10
% 244.40/48.49  | 
% 244.40/48.49  | COMBINE_EQS: (11), (24) imply:
% 244.40/48.49  |   (25)  all_25_19 = e10
% 244.40/48.49  | 
% 244.40/48.49  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 244.40/48.49  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25) are
% 244.40/48.49  |            inconsistent by sub-proof #448.
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #404 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)  all_25_9 = e10
% 244.40/48.49    (2)   ~ (e14 = e10)
% 244.40/48.49    (3)  all_25_2 = e12
% 244.40/48.49    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.49    (5)  all_25_24 = e10
% 244.40/48.49    (6)   ~ (e12 = e11)
% 244.40/48.49    (7)   ~ (e14 = e11)
% 244.40/48.49    (8)   ~ (e13 = e10)
% 244.40/48.49    (9)   ~ (e14 = e13)
% 244.40/48.49    (10)  op1(e12, e10) = e12
% 244.40/48.49    (11)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.40/48.49    (12)  op1(e13, e11) = e14
% 244.40/48.49    (13)  all_25_19 = e11
% 244.40/48.49    (14)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.49              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.49            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.49    (15)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.49              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.49            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (17)   ~ (e13 = e11)
% 244.40/48.49    (18)  op1(e13, e12) = e10
% 244.40/48.49    (19)   ~ (e11 = e10)
% 244.40/48.49    (20)   ~ (e13 = e12)
% 244.40/48.49    (21)  op1(e13, e13) = e11
% 244.40/48.49    (22)  all_25_18 = e12
% 244.40/48.49    (23)   ~ (e14 = e12)
% 244.40/48.49    (24)  all_25_17 = e13
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | ALPHA: (11) implies:
% 244.40/48.49  |   (25)  all_25_9 = e11
% 244.40/48.49  | 
% 244.40/48.49  | COMBINE_EQS: (1), (25) imply:
% 244.40/48.49  |   (26)  e11 = e10
% 244.40/48.49  | 
% 244.40/48.49  | COMBINE_EQS: (13), (26) imply:
% 244.40/48.49  |   (27)  all_25_19 = e10
% 244.40/48.49  | 
% 244.40/48.49  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14), (15),
% 244.40/48.49  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (27) are
% 244.40/48.49  |            inconsistent by sub-proof #448.
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #405 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)  op1(e12, e11) = e13
% 244.40/48.49    (2)   ~ (all_23_40 = all_23_41)
% 244.40/48.49    (3)  op1(e11, e12) = e13
% 244.40/48.49    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (5)  op1(e11, e12) = all_23_40
% 244.40/48.49    (6)  op1(e12, e11) = all_23_41
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | GROUND_INST: instantiating (4) with e13, all_23_40, e12, e11, simplifying with
% 244.40/48.49  |              (3), (5) gives:
% 244.40/48.49  |   (7)  all_23_40 = e13
% 244.40/48.49  | 
% 244.40/48.49  | GROUND_INST: instantiating (4) with e13, all_23_41, e11, e12, simplifying with
% 244.40/48.49  |              (1), (6) gives:
% 244.40/48.49  |   (8)  all_23_41 = e13
% 244.40/48.49  | 
% 244.40/48.49  | REDUCE: (2), (7), (8) imply:
% 244.40/48.49  |   (9)  $false
% 244.40/48.49  | 
% 244.40/48.49  | CLOSE: (9) is inconsistent.
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #406 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)  op1(e12, e14) = e11
% 244.40/48.49    (2)  op1(e12, e14) = all_23_20
% 244.40/48.49    (3)  op1(e14, e12) = e11
% 244.40/48.49    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (5)  op1(e14, e12) = all_23_21
% 244.40/48.49    (6)   ~ (all_23_20 = all_23_21)
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | GROUND_INST: instantiating (4) with e11, all_23_20, e14, e12, simplifying with
% 244.40/48.49  |              (1), (2) gives:
% 244.40/48.49  |   (7)  all_23_20 = e11
% 244.40/48.49  | 
% 244.40/48.49  | GROUND_INST: instantiating (4) with e11, all_23_21, e12, e14, simplifying with
% 244.40/48.49  |              (3), (5) gives:
% 244.40/48.49  |   (8)  all_23_21 = e11
% 244.40/48.49  | 
% 244.40/48.49  | REDUCE: (6), (7), (8) imply:
% 244.40/48.49  |   (9)  $false
% 244.40/48.49  | 
% 244.40/48.49  | CLOSE: (9) is inconsistent.
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #407 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)  all_25_9 = e10
% 244.40/48.49    (2)   ~ (e14 = e10)
% 244.40/48.49    (3)  all_25_2 = e12
% 244.40/48.49    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.49    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.49           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.49           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.49    (6)  all_25_15 = e12
% 244.40/48.49    (7)  all_25_1 = e12
% 244.40/48.49    (8)  all_25_24 = e10
% 244.40/48.49    (9)  all_25_22 = e12
% 244.40/48.49    (10)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.40/48.49              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.40/48.49            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.49    (11)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.49            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.49            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.49    (12)  all_25_14 = e13
% 244.40/48.49    (13)   ~ (e12 = e11)
% 244.40/48.49    (14)   ~ (e14 = e11)
% 244.40/48.49    (15)  all_25_3 = e11
% 244.40/48.49    (16)  op1(e10, e13) = e13
% 244.40/48.49    (17)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.40/48.49            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.40/48.49            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.40/48.49    (18)   ~ (e13 = e10)
% 244.40/48.49    (19)  op1(e11, e12) = all_14_13
% 244.40/48.49    (20)   ~ (e14 = e13)
% 244.40/48.49    (21)  op1(e12, e10) = e12
% 244.40/48.49    (22)   ~ (all_14_15 = e12)
% 244.40/48.49    (23)   ~ (all_14_17 = e14)
% 244.40/48.49    (24)  all_25_11 = e13
% 244.40/48.49    (25)  op1(e14, e11) = all_14_15
% 244.40/48.49    (26)  op1(e13, e11) = e14
% 244.40/48.49    (27)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.49              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.49            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.49    (28)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.49              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.40/48.49            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.49    (29)  all_25_21 = e13
% 244.40/48.49    (30)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.49              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.49            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (32)   ~ (e13 = e11)
% 244.40/48.49    (33)  op1(e13, e12) = e10
% 244.40/48.49    (34)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.40/48.49              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.40/48.49            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.49    (35)  op1(e12, e11) = all_14_17
% 244.40/48.49    (36)   ~ (e11 = e10)
% 244.40/48.49    (37)   ~ (all_14_13 = e10)
% 244.40/48.49    (38)   ~ (e13 = e12)
% 244.40/48.49    (39)  op1(e13, e13) = e11
% 244.40/48.49    (40)   ~ (e12 = e10)
% 244.40/48.49    (41)  all_25_10 = e14
% 244.40/48.49    (42)   ~ (all_14_19 = e14)
% 244.40/48.49    (43)  all_25_8 = e12
% 244.40/48.49    (44)   ~ (all_14_14 = e13)
% 244.40/48.49    (45)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.49    (46)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.40/48.49              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.40/48.49            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (47)   ~ (all_14_19 = e13)
% 244.40/48.49    (48)  all_25_18 = e12
% 244.40/48.49    (49)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.49    (50)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.40/48.49              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.40/48.49            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.40/48.49    (51)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.49    (52)  op1(e10, e11) = all_14_19
% 244.40/48.49    (53)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.49    (54)  op1(e10, e12) = all_14_14
% 244.40/48.49    (55)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 244.40/48.49            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 244.40/48.49            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.40/48.49    (56)   ~ (e14 = e12)
% 244.40/48.49    (57)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 244.40/48.49            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 244.40/48.49            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.40/48.49    (58)  all_25_17 = e13
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | BETA: splitting (46) gives:
% 244.40/48.49  | 
% 244.40/48.49  | Case 1:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (59)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 244.40/48.49  | |           op1(e10, e13) = e14)
% 244.40/48.49  | | 
% 244.40/48.49  | | BETA: splitting (59) gives:
% 244.40/48.49  | | 
% 244.40/48.49  | | Case 1:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (60)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | ALPHA: (60) implies:
% 244.40/48.49  | | |   (61)  all_25_20 = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | BETA: splitting (57) gives:
% 244.40/48.49  | | | 
% 244.40/48.49  | | | Case 1:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | |   (62)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 &
% 244.40/48.49  | | | |           op1(e12, e13) = e11)
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | BETA: splitting (62) gives:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | Case 1:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (63)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | REF_CLOSE: (2), (3), (4), (11), (13), (14), (15), (17), (18), (20),
% 244.40/48.49  | | | | |            (23), (24), (31), (32), (33), (35), (36), (38), (39), (40),
% 244.40/48.49  | | | | |            (43), (45), (48), (51), (55), (56), (58), (63) are
% 244.40/48.49  | | | | |            inconsistent by sub-proof #414.
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | Case 2:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (64)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | ALPHA: (64) implies:
% 244.40/48.49  | | | | |   (65)  all_25_7 = e11
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 244.40/48.49  | | | | |            (12), (13), (14), (15), (16), (18), (19), (20), (21), (22),
% 244.40/48.49  | | | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 244.40/48.49  | | | | |            (34), (36), (37), (38), (39), (40), (41), (42), (44), (45),
% 244.40/48.49  | | | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (56),
% 244.40/48.49  | | | | |            (58), (61), (65) are inconsistent by sub-proof #409.
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | End of split
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | Case 2:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | |   (66)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 244.40/48.49  | | | |           op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | BETA: splitting (66) gives:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | Case 1:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (67)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | REF_CLOSE: (13), (43), (67) are inconsistent by sub-proof #1079.
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | Case 2:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (68)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 244.40/48.49  | | | | |           op1(e12, e10) = e11)
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | REF_CLOSE: (13), (21), (24), (31), (32), (68) are inconsistent by
% 244.40/48.49  | | | | |            sub-proof #408.
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | End of split
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | End of split
% 244.40/48.49  | | | 
% 244.40/48.49  | | Case 2:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (69)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | ALPHA: (69) implies:
% 244.40/48.49  | | |   (70)  op1(e10, e13) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (16), (20), (31), (70) are inconsistent by sub-proof #1274.
% 244.40/48.49  | | | 
% 244.40/48.49  | | End of split
% 244.40/48.49  | | 
% 244.40/48.49  | Case 2:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (71)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 244.40/48.49  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49  | | 
% 244.40/48.49  | | BETA: splitting (71) gives:
% 244.40/48.49  | | 
% 244.40/48.49  | | Case 1:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (72)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (9), (56), (72) are inconsistent by sub-proof #476.
% 244.40/48.49  | | | 
% 244.40/48.49  | | Case 2:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (73)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 244.40/48.49  | | |           op1(e10, e10) = e14)
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (2), (8), (31), (42), (52), (73) are inconsistent by sub-proof
% 244.40/48.49  | | |            #1207.
% 244.40/48.49  | | | 
% 244.40/48.49  | | End of split
% 244.40/48.49  | | 
% 244.40/48.49  | End of split
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #408 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)   ~ (e12 = e11)
% 244.40/48.49    (2)  op1(e12, e10) = e12
% 244.40/48.49    (3)  all_25_11 = e13
% 244.40/48.49    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (5)   ~ (e13 = e11)
% 244.40/48.49    (6)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12,
% 244.40/48.49             e10) = e11)
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | BETA: splitting (6) gives:
% 244.40/48.49  | 
% 244.40/48.49  | Case 1:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (7)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.40/48.49  | | 
% 244.40/48.49  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #423.
% 244.40/48.49  | | 
% 244.40/48.49  | Case 2:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (8)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.40/48.49  | | 
% 244.40/48.49  | | ALPHA: (8) implies:
% 244.40/48.49  | |   (9)  op1(e12, e10) = e11
% 244.40/48.49  | | 
% 244.40/48.49  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #926.
% 244.40/48.49  | | 
% 244.40/48.49  | End of split
% 244.40/48.49  | 
% 244.40/48.49  End of proof
% 244.40/48.49  
% 244.40/48.49  Sub-proof #409 shows that the following formulas are inconsistent:
% 244.40/48.49  ----------------------------------------------------------------
% 244.40/48.49    (1)  all_25_9 = e10
% 244.40/48.49    (2)   ~ (e14 = e10)
% 244.40/48.49    (3)  all_25_2 = e12
% 244.40/48.49    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.49    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.49           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.49           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.49    (6)  all_25_15 = e12
% 244.40/48.49    (7)  all_25_1 = e12
% 244.40/48.49    (8)  all_25_24 = e10
% 244.40/48.49    (9)  all_25_22 = e12
% 244.40/48.49    (10)  all_25_20 = e14
% 244.40/48.49    (11)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.40/48.49              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.40/48.49            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.49    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.49            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.49            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.49    (13)  all_25_14 = e13
% 244.40/48.49    (14)   ~ (e12 = e11)
% 244.40/48.49    (15)   ~ (e14 = e11)
% 244.40/48.49    (16)  all_25_3 = e11
% 244.40/48.49    (17)  op1(e10, e13) = e13
% 244.40/48.49    (18)   ~ (e13 = e10)
% 244.40/48.49    (19)  op1(e11, e12) = all_14_13
% 244.40/48.49    (20)   ~ (e14 = e13)
% 244.40/48.49    (21)  op1(e12, e10) = e12
% 244.40/48.49    (22)   ~ (all_14_15 = e12)
% 244.40/48.49    (23)  all_25_11 = e13
% 244.40/48.49    (24)  op1(e14, e11) = all_14_15
% 244.40/48.49    (25)  op1(e13, e11) = e14
% 244.40/48.49    (26)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.49              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.49            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.49    (27)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.49              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.40/48.49            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.49    (28)  all_25_21 = e13
% 244.40/48.49    (29)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.49              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.49            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.49    (31)   ~ (e13 = e11)
% 244.40/48.49    (32)  op1(e13, e12) = e10
% 244.40/48.49    (33)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.40/48.49              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.40/48.49            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.49    (34)   ~ (e11 = e10)
% 244.40/48.49    (35)   ~ (all_14_13 = e10)
% 244.40/48.49    (36)   ~ (e13 = e12)
% 244.40/48.49    (37)  op1(e13, e13) = e11
% 244.40/48.49    (38)   ~ (e12 = e10)
% 244.40/48.49    (39)  all_25_10 = e14
% 244.40/48.49    (40)   ~ (all_14_19 = e14)
% 244.40/48.49    (41)   ~ (all_14_14 = e13)
% 244.40/48.49    (42)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.49    (43)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.40/48.49              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.40/48.49            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.49    (44)   ~ (all_14_19 = e13)
% 244.40/48.49    (45)  all_25_7 = e11
% 244.40/48.49    (46)  all_25_18 = e12
% 244.40/48.49    (47)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.49    (48)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.40/48.49              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.40/48.49            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.40/48.49    (49)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.49    (50)  op1(e10, e11) = all_14_19
% 244.40/48.49    (51)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.49    (52)  op1(e10, e12) = all_14_14
% 244.40/48.49    (53)   ~ (e14 = e12)
% 244.40/48.49    (54)  all_25_17 = e13
% 244.40/48.49  
% 244.40/48.49  Begin of proof
% 244.40/48.49  | 
% 244.40/48.49  | BETA: splitting (51) gives:
% 244.40/48.49  | 
% 244.40/48.49  | Case 1:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (55)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 244.40/48.49  | |             e13) = e14)
% 244.40/48.49  | | 
% 244.40/48.49  | | BETA: splitting (55) gives:
% 244.40/48.49  | | 
% 244.40/48.49  | | Case 1:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (56)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (7), (53), (56) are inconsistent by sub-proof #1292.
% 244.40/48.49  | | | 
% 244.40/48.49  | | Case 2:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (57)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (15), (16), (57) are inconsistent by sub-proof #1291.
% 244.40/48.49  | | | 
% 244.40/48.49  | | End of split
% 244.40/48.49  | | 
% 244.40/48.49  | Case 2:
% 244.40/48.49  | | 
% 244.40/48.49  | |   (58)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 244.40/48.49  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.49  | | 
% 244.40/48.49  | | BETA: splitting (58) gives:
% 244.40/48.49  | | 
% 244.40/48.49  | | Case 1:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (59)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | ALPHA: (59) implies:
% 244.40/48.49  | | |   (60)  all_25_7 = e14
% 244.40/48.49  | | | 
% 244.40/48.49  | | | REF_CLOSE: (15), (45), (60) are inconsistent by sub-proof #1114.
% 244.40/48.49  | | | 
% 244.40/48.49  | | Case 2:
% 244.40/48.49  | | | 
% 244.40/48.49  | | |   (61)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 244.40/48.49  | | |           op1(e10, e13) = e14)
% 244.40/48.49  | | | 
% 244.40/48.49  | | | BETA: splitting (61) gives:
% 244.40/48.49  | | | 
% 244.40/48.49  | | | Case 1:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | |   (62)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | ALPHA: (62) implies:
% 244.40/48.49  | | | |   (63)  all_25_13 = e14
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | BETA: splitting (33) gives:
% 244.40/48.49  | | | | 
% 244.40/48.49  | | | | Case 1:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | |   (64)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 244.40/48.49  | | | | |           op1(e11, e13) = e10)
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | BETA: splitting (64) gives:
% 244.40/48.49  | | | | | 
% 244.40/48.49  | | | | | Case 1:
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | |   (65)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | ALPHA: (65) implies:
% 244.40/48.49  | | | | | |   (66)  all_25_12 = e10
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | BETA: splitting (27) gives:
% 244.40/48.49  | | | | | | 
% 244.40/48.49  | | | | | | Case 1:
% 244.40/48.49  | | | | | | | 
% 244.40/48.49  | | | | | | |   (67)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11
% 244.40/48.49  | | | | | | |           & op1(e11, e13) = e11)
% 244.40/48.49  | | | | | | | 
% 244.40/48.49  | | | | | | | REF_CLOSE: (2), (3), (4), (7), (12), (14), (15), (16), (17), (18),
% 244.40/48.49  | | | | | | |            (20), (28), (30), (31), (32), (34), (36), (37), (38),
% 244.40/48.49  | | | | | | |            (42), (47), (49), (51), (53), (54), (66), (67) are
% 244.40/48.49  | | | | | | |            inconsistent by sub-proof #413.
% 244.40/48.49  | | | | | | | 
% 244.40/48.49  | | | | | | Case 2:
% 244.40/48.49  | | | | | | | 
% 244.40/48.50  | | | | | | |   (68)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11
% 244.40/48.50  | | | | | | |           & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11,
% 244.40/48.50  | | | | | | |             e10) = e11)
% 244.40/48.50  | | | | | | | 
% 244.40/48.50  | | | | | | | BETA: splitting (68) gives:
% 244.40/48.50  | | | | | | | 
% 244.40/48.50  | | | | | | | Case 1:
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | |   (69)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | | REF_CLOSE: (13), (31), (69) are inconsistent by sub-proof #477.
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | Case 2:
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | |   (70)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 =
% 244.40/48.50  | | | | | | | |           e11 & op1(e11, e10) = e11)
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | | BETA: splitting (70) gives:
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | | Case 1:
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | |   (71)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | REF_CLOSE: (6), (14), (71) are inconsistent by sub-proof #418.
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | Case 2:
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | |   (72)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | ALPHA: (72) implies:
% 244.40/48.50  | | | | | | | | |   (73)  all_25_19 = e11
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | BETA: splitting (47) gives:
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | Case 1:
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | |   (74)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 =
% 244.40/48.50  | | | | | | | | | |           e10 & op1(e13, e13) = e10)
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | REF_CLOSE: (2), (3), (4), (7), (12), (14), (15), (18), (20),
% 244.40/48.50  | | | | | | | | | |            (30), (31), (32), (34), (36), (37), (38), (42),
% 244.40/48.50  | | | | | | | | | |            (49), (53), (74) are inconsistent by sub-proof
% 244.40/48.50  | | | | | | | | | |            #1279.
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | Case 2:
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | |   (75)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13
% 244.40/48.50  | | | | | | | | | |           = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 244.40/48.50  | | | | | | | | | |           op1(e10, e13) = e10)
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | BETA: splitting (75) gives:
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | Case 1:
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | |   (76)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (8), (14), (15), (18), (20), (21),
% 244.40/48.50  | | | | | | | | | | |            (25), (26), (29), (30), (31), (32), (34), (36),
% 244.40/48.50  | | | | | | | | | | |            (37), (45), (46), (53), (54), (73), (76) are
% 244.40/48.50  | | | | | | | | | | |            inconsistent by sub-proof #412.
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | Case 2:
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | |   (77)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.40/48.50  | | | | | | | | | | |         (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | BETA: splitting (77) gives:
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | Case 1:
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | |   (78)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | | ALPHA: (78) implies:
% 244.40/48.50  | | | | | | | | | | | |   (79)  all_25_13 = e10
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | | REF_CLOSE: (2), (8), (9), (10), (17), (20), (30), (40), (43),
% 244.40/48.50  | | | | | | | | | | | |            (50), (53), (63), (79) are inconsistent by
% 244.40/48.50  | | | | | | | | | | | |            sub-proof #411.
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | Case 2:
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | |   (80)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (15), (16), (18), (20), (28), (30),
% 244.40/48.50  | | | | | | | | | | | |            (31), (32), (36), (37), (49), (53), (54), (80) are
% 244.40/48.50  | | | | | | | | | | | |            inconsistent by sub-proof #934.
% 244.40/48.50  | | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | | End of split
% 244.40/48.50  | | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | | End of split
% 244.40/48.50  | | | | | | | | | | 
% 244.40/48.50  | | | | | | | | | End of split
% 244.40/48.50  | | | | | | | | | 
% 244.40/48.50  | | | | | | | | End of split
% 244.40/48.50  | | | | | | | | 
% 244.40/48.50  | | | | | | | End of split
% 244.40/48.50  | | | | | | | 
% 244.40/48.50  | | | | | | End of split
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | Case 2:
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | |   (81)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | | REF_CLOSE: (2), (8), (9), (10), (17), (20), (30), (40), (43), (50),
% 244.40/48.50  | | | | | |            (53), (63), (81) are inconsistent by sub-proof #1139.
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | End of split
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | Case 2:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | |   (82)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 244.40/48.50  | | | | |           op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) =
% 244.40/48.50  | | | | |           e10)
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (11), (12), (14), (15), (18),
% 244.40/48.50  | | | | |            (19), (20), (21), (22), (23), (24), (25), (26), (29), (30),
% 244.40/48.50  | | | | |            (31), (32), (34), (35), (36), (37), (38), (39), (42), (46),
% 244.40/48.50  | | | | |            (49), (53), (54), (82) are inconsistent by sub-proof #410.
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | End of split
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | Case 2:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | |   (83)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | ALPHA: (83) implies:
% 244.40/48.50  | | | |   (84)  op1(e10, e13) = e14
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | REF_CLOSE: (2), (3), (4), (8), (10), (15), (16), (18), (20), (30), (31),
% 244.40/48.50  | | | |            (32), (36), (37), (41), (44), (48), (49), (50), (52), (53),
% 244.40/48.50  | | | |            (54), (84) are inconsistent by sub-proof #1182.
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | End of split
% 244.40/48.50  | | | 
% 244.40/48.50  | | End of split
% 244.40/48.50  | | 
% 244.40/48.50  | End of split
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #410 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)  all_25_9 = e10
% 244.40/48.50    (2)   ~ (e14 = e10)
% 244.40/48.50    (3)  all_25_2 = e12
% 244.40/48.50    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.50           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.50           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.50    (6)  all_25_24 = e10
% 244.40/48.50    (7)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 244.40/48.50           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.40/48.50           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.50    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.50    (9)   ~ (e12 = e11)
% 244.40/48.50    (10)   ~ (e14 = e11)
% 244.40/48.50    (11)   ~ (e13 = e10)
% 244.40/48.50    (12)  op1(e11, e12) = all_14_13
% 244.40/48.50    (13)   ~ (e14 = e13)
% 244.40/48.50    (14)  op1(e12, e10) = e12
% 244.40/48.50    (15)   ~ (all_14_15 = e12)
% 244.40/48.50    (16)  all_25_11 = e13
% 244.40/48.50    (17)  op1(e14, e11) = all_14_15
% 244.40/48.50    (18)  op1(e13, e11) = e14
% 244.40/48.50    (19)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.50              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.50            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.50    (20)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.50              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.50            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.50    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (22)   ~ (e13 = e11)
% 244.40/48.50    (23)  op1(e13, e12) = e10
% 244.40/48.50    (24)   ~ (e11 = e10)
% 244.40/48.50    (25)   ~ (all_14_13 = e10)
% 244.40/48.50    (26)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 & op1(e11,
% 244.40/48.50              e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.50    (27)   ~ (e13 = e12)
% 244.40/48.50    (28)  op1(e13, e13) = e11
% 244.40/48.50    (29)   ~ (e12 = e10)
% 244.40/48.50    (30)  all_25_10 = e14
% 244.40/48.50    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.50    (32)  all_25_18 = e12
% 244.40/48.50    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.50    (34)   ~ (e14 = e12)
% 244.40/48.50    (35)  all_25_17 = e13
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | BETA: splitting (26) gives:
% 244.40/48.50  | 
% 244.40/48.50  | Case 1:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (36)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (36) implies:
% 244.40/48.50  | |   (37)  op1(e11, e12) = e10
% 244.40/48.50  | | 
% 244.40/48.50  | | REF_CLOSE: (12), (21), (25), (37) are inconsistent by sub-proof #1158.
% 244.40/48.50  | | 
% 244.40/48.50  | Case 2:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (38)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 244.40/48.50  | |           op1(e11, e10) = e10)
% 244.40/48.50  | | 
% 244.40/48.50  | | BETA: splitting (38) gives:
% 244.40/48.50  | | 
% 244.40/48.50  | | Case 1:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (39)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.40/48.50  | | | 
% 244.40/48.50  | | | ALPHA: (39) implies:
% 244.40/48.50  | | |   (40)  all_25_15 = e10
% 244.40/48.50  | | | 
% 244.40/48.50  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (13), (15),
% 244.40/48.50  | | |            (16), (17), (18), (21), (22), (23), (24), (27), (28), (29),
% 244.40/48.50  | | |            (30), (31), (33), (34), (40) are inconsistent by sub-proof
% 244.40/48.50  | | |            #421.
% 244.40/48.50  | | | 
% 244.40/48.50  | | Case 2:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (41)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.40/48.50  | | | 
% 244.40/48.50  | | | ALPHA: (41) implies:
% 244.40/48.50  | | |   (42)  all_25_19 = e10
% 244.40/48.50  | | | 
% 244.40/48.50  | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (11), (13), (14), (18), (19),
% 244.40/48.50  | | |            (20), (21), (22), (23), (24), (27), (28), (32), (34), (35),
% 244.40/48.50  | | |            (42) are inconsistent by sub-proof #448.
% 244.40/48.50  | | | 
% 244.40/48.50  | | End of split
% 244.40/48.50  | | 
% 244.40/48.50  | End of split
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #411 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_24 = e10
% 244.40/48.50    (3)  all_25_22 = e12
% 244.40/48.50    (4)  all_25_20 = e14
% 244.40/48.50    (5)  op1(e10, e13) = e13
% 244.40/48.50    (6)   ~ (e14 = e13)
% 244.40/48.50    (7)  all_25_13 = e14
% 244.40/48.50    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (9)  all_25_13 = e10
% 244.40/48.50    (10)   ~ (all_14_19 = e14)
% 244.40/48.50    (11)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.40/48.50              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.40/48.50            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.50    (12)  op1(e10, e11) = all_14_19
% 244.40/48.50    (13)   ~ (e14 = e12)
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (7), (9) imply:
% 244.40/48.50  |   (14)  e14 = e10
% 244.40/48.50  | 
% 244.40/48.50  | SIMP: (14) implies:
% 244.40/48.50  |   (15)  e14 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (4), (15) imply:
% 244.40/48.50  |   (16)  all_25_20 = e10
% 244.40/48.50  | 
% 244.40/48.50  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (11), (12), (13), (16) are
% 244.40/48.50  |            inconsistent by sub-proof #1205.
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #412 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_2 = e12
% 244.40/48.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (4)  all_25_24 = e10
% 244.40/48.50    (5)   ~ (e12 = e11)
% 244.40/48.50    (6)   ~ (e14 = e11)
% 244.40/48.50    (7)   ~ (e13 = e10)
% 244.40/48.50    (8)   ~ (e14 = e13)
% 244.40/48.50    (9)  op1(e12, e10) = e12
% 244.40/48.50    (10)  op1(e13, e11) = e14
% 244.40/48.50    (11)  all_25_19 = e11
% 244.40/48.50    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.50              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.50            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.50    (13)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.50              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.50            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.50    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (15)   ~ (e13 = e11)
% 244.40/48.50    (16)  op1(e13, e12) = e10
% 244.40/48.50    (17)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.40/48.50    (18)   ~ (e11 = e10)
% 244.40/48.50    (19)   ~ (e13 = e12)
% 244.40/48.50    (20)  op1(e13, e13) = e11
% 244.40/48.50    (21)  all_25_7 = e11
% 244.40/48.50    (22)  all_25_18 = e12
% 244.40/48.50    (23)   ~ (e14 = e12)
% 244.40/48.50    (24)  all_25_17 = e13
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | ALPHA: (17) implies:
% 244.40/48.50  |   (25)  all_25_7 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (21), (25) imply:
% 244.40/48.50  |   (26)  e11 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (11), (26) imply:
% 244.40/48.50  |   (27)  all_25_19 = e10
% 244.40/48.50  | 
% 244.40/48.50  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 244.40/48.50  |            (14), (15), (16), (18), (19), (20), (22), (23), (24), (27) are
% 244.40/48.50  |            inconsistent by sub-proof #448.
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #413 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_2 = e12
% 244.40/48.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (4)  all_25_1 = e12
% 244.40/48.50    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.50    (6)   ~ (e12 = e11)
% 244.40/48.50    (7)   ~ (e14 = e11)
% 244.40/48.50    (8)  all_25_3 = e11
% 244.40/48.50    (9)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.50             e13) = e11)
% 244.40/48.50    (10)  op1(e10, e13) = e13
% 244.40/48.50    (11)   ~ (e13 = e10)
% 244.40/48.50    (12)   ~ (e14 = e13)
% 244.40/48.50    (13)  all_25_21 = e13
% 244.40/48.50    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (15)   ~ (e13 = e11)
% 244.40/48.50    (16)  op1(e13, e12) = e10
% 244.40/48.50    (17)  all_25_12 = e10
% 244.40/48.50    (18)   ~ (e11 = e10)
% 244.40/48.50    (19)   ~ (e13 = e12)
% 244.40/48.50    (20)  op1(e13, e13) = e11
% 244.40/48.50    (21)   ~ (e12 = e10)
% 244.40/48.50    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.50    (23)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.50            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.50            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.50    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.50    (25)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.50            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.50    (26)   ~ (e14 = e12)
% 244.40/48.50    (27)  all_25_17 = e13
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | BETA: splitting (9) gives:
% 244.40/48.50  | 
% 244.40/48.50  | Case 1:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (28)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (28) implies:
% 244.40/48.50  | |   (29)  all_25_12 = e11
% 244.40/48.50  | | 
% 244.40/48.50  | | REF_CLOSE: (17), (18), (29) are inconsistent by sub-proof #1177.
% 244.40/48.50  | | 
% 244.40/48.50  | Case 2:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (30)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (30) implies:
% 244.40/48.50  | |   (31)  all_25_13 = e11
% 244.40/48.50  | | 
% 244.40/48.50  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 244.40/48.50  | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 244.40/48.50  | |            (26), (27), (31) are inconsistent by sub-proof #446.
% 244.40/48.50  | | 
% 244.40/48.50  | End of split
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #414 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_2 = e12
% 244.40/48.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.50    (5)   ~ (e12 = e11)
% 244.40/48.50    (6)   ~ (e14 = e11)
% 244.40/48.50    (7)  all_25_3 = e11
% 244.40/48.50    (8)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 244.40/48.50           = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 244.40/48.50           op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.40/48.50    (9)   ~ (e13 = e10)
% 244.40/48.50    (10)   ~ (e14 = e13)
% 244.40/48.50    (11)   ~ (all_14_17 = e14)
% 244.40/48.50    (12)  all_25_11 = e13
% 244.40/48.50    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (14)   ~ (e13 = e11)
% 244.40/48.50    (15)  op1(e13, e12) = e10
% 244.40/48.50    (16)  op1(e12, e11) = all_14_17
% 244.40/48.50    (17)   ~ (e11 = e10)
% 244.40/48.50    (18)   ~ (e13 = e12)
% 244.40/48.50    (19)  op1(e13, e13) = e11
% 244.40/48.50    (20)   ~ (e12 = e10)
% 244.40/48.50    (21)  all_25_8 = e12
% 244.40/48.50    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.50    (23)  all_25_18 = e12
% 244.40/48.50    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.50    (25)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 244.40/48.50            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 244.40/48.50            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.40/48.50    (26)   ~ (e14 = e12)
% 244.40/48.50    (27)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.40/48.50    (28)  all_25_17 = e13
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | ALPHA: (27) implies:
% 244.40/48.50  |   (29)  all_25_6 = e11
% 244.40/48.50  | 
% 244.40/48.50  | BETA: splitting (8) gives:
% 244.40/48.50  | 
% 244.40/48.50  | Case 1:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (30)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12,
% 244.40/48.50  | |             e13) = e14)
% 244.40/48.50  | | 
% 244.40/48.50  | | BETA: splitting (30) gives:
% 244.40/48.50  | | 
% 244.40/48.50  | | Case 1:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (31)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.40/48.50  | | | 
% 244.40/48.50  | | | REF_CLOSE: (6), (29), (31) are inconsistent by sub-proof #1007.
% 244.40/48.50  | | | 
% 244.40/48.50  | | Case 2:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (32)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.40/48.50  | | | 
% 244.40/48.50  | | | ALPHA: (32) implies:
% 244.40/48.50  | | |   (33)  all_25_7 = e14
% 244.40/48.50  | | | 
% 244.40/48.50  | | | BETA: splitting (25) gives:
% 244.40/48.50  | | | 
% 244.40/48.50  | | | Case 1:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | |   (34)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 &
% 244.40/48.50  | | | |           op1(e12, e13) = e10)
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | BETA: splitting (34) gives:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | Case 1:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | |   (35)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | REF_CLOSE: (17), (29), (35) are inconsistent by sub-proof #1006.
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | Case 2:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | |   (36)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | REF_CLOSE: (1), (33), (36) are inconsistent by sub-proof #982.
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | End of split
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | Case 2:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | |   (37)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 244.40/48.50  | | | |           op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | BETA: splitting (37) gives:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | Case 1:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | |   (38)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (13), (14), (15),
% 244.40/48.50  | | | | |            (17), (18), (19), (20), (21), (22), (24), (26), (38) are
% 244.40/48.50  | | | | |            inconsistent by sub-proof #416.
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | Case 2:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | |   (39)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 244.40/48.50  | | | | |           op1(e12, e10) = e10)
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | BETA: splitting (39) gives:
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | | Case 1:
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | |   (40)  all_25_11 = e10 & op1(e12, e11) = e10
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (12), (13), (14),
% 244.40/48.50  | | | | | |            (15), (18), (19), (24), (26), (28), (40) are inconsistent
% 244.40/48.50  | | | | | |            by sub-proof #415.
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | Case 2:
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | |   (41)  all_25_18 = e10 & op1(e12, e10) = e10
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | | ALPHA: (41) implies:
% 244.40/48.50  | | | | | |   (42)  all_25_18 = e10
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (13), (14),
% 244.40/48.50  | | | | | |            (15), (17), (18), (19), (20), (22), (23), (24), (26),
% 244.40/48.50  | | | | | |            (42) are inconsistent by sub-proof #977.
% 244.40/48.50  | | | | | | 
% 244.40/48.50  | | | | | End of split
% 244.40/48.50  | | | | | 
% 244.40/48.50  | | | | End of split
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | End of split
% 244.40/48.50  | | | 
% 244.40/48.50  | | End of split
% 244.40/48.50  | | 
% 244.40/48.50  | Case 2:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (43)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 & op1(e12,
% 244.40/48.50  | |             e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 244.40/48.50  | | 
% 244.40/48.50  | | BETA: splitting (43) gives:
% 244.40/48.50  | | 
% 244.40/48.50  | | Case 1:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (44)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.40/48.50  | | | 
% 244.40/48.50  | | | ALPHA: (44) implies:
% 244.40/48.50  | | |   (45)  all_25_8 = e14
% 244.40/48.50  | | | 
% 244.40/48.50  | | | REF_CLOSE: (21), (26), (45) are inconsistent by sub-proof #462.
% 244.40/48.50  | | | 
% 244.40/48.50  | | Case 2:
% 244.40/48.50  | | | 
% 244.40/48.50  | | |   (46)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 244.40/48.50  | | |           op1(e12, e10) = e14)
% 244.40/48.50  | | | 
% 244.40/48.50  | | | BETA: splitting (46) gives:
% 244.40/48.50  | | | 
% 244.40/48.50  | | | Case 1:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | |   (47)  all_25_11 = e14 & op1(e12, e11) = e14
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | REF_CLOSE: (11), (13), (16), (47) are inconsistent by sub-proof #1162.
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | Case 2:
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | |   (48)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | | REF_CLOSE: (23), (26), (48) are inconsistent by sub-proof #1146.
% 244.40/48.50  | | | | 
% 244.40/48.50  | | | End of split
% 244.40/48.50  | | | 
% 244.40/48.50  | | End of split
% 244.40/48.50  | | 
% 244.40/48.50  | End of split
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #415 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_2 = e12
% 244.40/48.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (4)   ~ (e14 = e11)
% 244.40/48.50    (5)  all_25_3 = e11
% 244.40/48.50    (6)   ~ (e13 = e10)
% 244.40/48.50    (7)   ~ (e14 = e13)
% 244.40/48.50    (8)  all_25_11 = e13
% 244.40/48.50    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (10)   ~ (e13 = e11)
% 244.40/48.50    (11)  op1(e13, e12) = e10
% 244.40/48.50    (12)   ~ (e13 = e12)
% 244.40/48.50    (13)  op1(e13, e13) = e11
% 244.40/48.50    (14)  all_25_11 = e10 & op1(e12, e11) = e10
% 244.40/48.50    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.50    (16)   ~ (e14 = e12)
% 244.40/48.50    (17)  all_25_17 = e13
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | ALPHA: (14) implies:
% 244.40/48.50  |   (18)  all_25_11 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (8), (18) imply:
% 244.40/48.50  |   (19)  e13 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (17), (19) imply:
% 244.40/48.50  |   (20)  all_25_17 = e10
% 244.40/48.50  | 
% 244.40/48.50  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 244.40/48.50  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #416 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)   ~ (e14 = e10)
% 244.40/48.50    (2)  all_25_2 = e12
% 244.40/48.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.50    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.50    (5)   ~ (e12 = e11)
% 244.40/48.50    (6)   ~ (e14 = e11)
% 244.40/48.50    (7)   ~ (e13 = e10)
% 244.40/48.50    (8)   ~ (e14 = e13)
% 244.40/48.50    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (10)   ~ (e13 = e11)
% 244.40/48.50    (11)  op1(e13, e12) = e10
% 244.40/48.50    (12)   ~ (e11 = e10)
% 244.40/48.50    (13)   ~ (e13 = e12)
% 244.40/48.50    (14)  op1(e13, e13) = e11
% 244.40/48.50    (15)   ~ (e12 = e10)
% 244.40/48.50    (16)  all_25_8 = e12
% 244.40/48.50    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.50    (18)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.40/48.50    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.50    (20)   ~ (e14 = e12)
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | ALPHA: (18) implies:
% 244.40/48.50  |   (21)  all_25_8 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (16), (21) imply:
% 244.40/48.50  |   (22)  e12 = e10
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (2), (22) imply:
% 244.40/48.50  |   (23)  all_25_2 = e10
% 244.40/48.50  | 
% 244.40/48.50  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.40/48.50  |            (14), (15), (17), (19), (20), (23) are inconsistent by sub-proof
% 244.40/48.50  |            #1281.
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #417 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)  op1(e10, e13) = e13
% 244.40/48.50    (2)   ~ (e14 = e13)
% 244.40/48.50    (3)  all_25_20 = e12
% 244.40/48.50    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.50           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.50    (5)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.40/48.50             e13) = e14)
% 244.40/48.50    (6)   ~ (e14 = e12)
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | BETA: splitting (5) gives:
% 244.40/48.50  | 
% 244.40/48.50  | Case 1:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (7)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (7) implies:
% 244.40/48.50  | |   (8)  all_25_20 = e14
% 244.40/48.50  | | 
% 244.40/48.50  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #1082.
% 244.40/48.50  | | 
% 244.40/48.50  | Case 2:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (9)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (9) implies:
% 244.40/48.50  | |   (10)  op1(e10, e13) = e14
% 244.40/48.50  | | 
% 244.40/48.50  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1274.
% 244.40/48.50  | | 
% 244.40/48.50  | End of split
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #418 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.40/48.50    (2)  all_25_15 = e12
% 244.40/48.50    (3)   ~ (e12 = e11)
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | ALPHA: (1) implies:
% 244.40/48.50  |   (4)  all_25_15 = e11
% 244.40/48.50  | 
% 244.40/48.50  | COMBINE_EQS: (2), (4) imply:
% 244.40/48.50  |   (5)  e12 = e11
% 244.40/48.50  | 
% 244.40/48.50  | REDUCE: (3), (5) imply:
% 244.40/48.50  |   (6)  $false
% 244.40/48.50  | 
% 244.40/48.50  | CLOSE: (6) is inconsistent.
% 244.40/48.50  | 
% 244.40/48.50  End of proof
% 244.40/48.50  
% 244.40/48.50  Sub-proof #419 shows that the following formulas are inconsistent:
% 244.40/48.50  ----------------------------------------------------------------
% 244.40/48.50    (1)  all_25_9 = e10
% 244.40/48.50    (2)   ~ (e14 = e11)
% 244.40/48.50    (3)   ~ (e11 = e10)
% 244.40/48.50    (4)  all_25_10 = e14
% 244.40/48.50    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.50           = e11)
% 244.40/48.50  
% 244.40/48.50  Begin of proof
% 244.40/48.50  | 
% 244.40/48.50  | BETA: splitting (5) gives:
% 244.40/48.50  | 
% 244.40/48.50  | Case 1:
% 244.40/48.50  | | 
% 244.40/48.50  | |   (6)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.40/48.50  | | 
% 244.40/48.50  | | ALPHA: (6) implies:
% 244.40/48.51  | |   (7)  all_25_9 = e11
% 244.40/48.51  | | 
% 244.40/48.51  | | COMBINE_EQS: (1), (7) imply:
% 244.40/48.51  | |   (8)  e11 = e10
% 244.40/48.51  | | 
% 244.40/48.51  | | REDUCE: (3), (8) imply:
% 244.40/48.51  | |   (9)  $false
% 244.40/48.51  | | 
% 244.40/48.51  | | CLOSE: (9) is inconsistent.
% 244.40/48.51  | | 
% 244.40/48.51  | Case 2:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (10)  all_25_10 = e11 & op1(e13, e11) = e11
% 244.40/48.51  | | 
% 244.40/48.51  | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #984.
% 244.40/48.51  | | 
% 244.40/48.51  | End of split
% 244.40/48.51  | 
% 244.40/48.51  End of proof
% 244.40/48.51  
% 244.40/48.51  Sub-proof #420 shows that the following formulas are inconsistent:
% 244.40/48.51  ----------------------------------------------------------------
% 244.40/48.51    (1)  all_25_9 = e10
% 244.40/48.51    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.40/48.51             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.40/48.51           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.51    (3)  all_25_12 = e12
% 244.40/48.51    (4)   ~ (e14 = e10)
% 244.40/48.51    (5)  op1(e10, e13) = all_14_9
% 244.40/48.51    (6)  all_25_2 = e12
% 244.40/48.51    (7)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.51           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.51           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.51    (8)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.51           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.51           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.51    (9)  all_25_1 = e12
% 244.40/48.51    (10)  op1(e14, unit1) = e14
% 244.40/48.51    (11)  all_25_24 = e10
% 244.40/48.51    (12)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.40/48.51              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.40/48.51            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.51    (13)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.40/48.51              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.40/48.51            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.40/48.51    (14)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.51            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.51            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.51    (15)  all_25_14 = e13
% 244.40/48.51    (16)   ~ (e12 = e11)
% 244.40/48.51    (17)   ~ (e14 = e11)
% 244.40/48.51    (18)  all_25_3 = e11
% 244.40/48.51    (19)  op1(e10, e13) = e13
% 244.40/48.51    (20)   ~ (e13 = e10)
% 244.40/48.51    (21)   ~ (e14 = e13)
% 244.40/48.51    (22)  op1(e12, e10) = e12
% 244.40/48.51    (23)   ~ (all_14_15 = e12)
% 244.40/48.51    (24)  all_25_11 = e13
% 244.40/48.51    (25)  op1(e14, e11) = all_14_15
% 244.40/48.51    (26)  op1(e13, unit1) = e13
% 244.40/48.51    (27)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 244.40/48.51            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 244.40/48.51            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.40/48.51    (28)  op1(e13, e11) = e14
% 244.40/48.51    (29)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.51              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.51            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.51    (30)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.51              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.40/48.51            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.51    (31)  all_25_21 = e13
% 244.40/48.51    (32)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.51              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.51            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51    (33)  all_25_0 = e13
% 244.40/48.51    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.51    (35)  all_25_13 = e10
% 244.40/48.51    (36)   ~ (e13 = e11)
% 244.40/48.51    (37)  op1(e13, e12) = e10
% 244.40/48.51    (38)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 244.40/48.51              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.40/48.51            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.40/48.51    (39)   ~ (all_14_18 = e14)
% 244.40/48.51    (40)   ~ (e11 = e10)
% 244.40/48.51    (41)   ~ (e13 = e12)
% 244.40/48.51    (42)  op1(e13, e13) = e11
% 244.40/48.51    (43)   ~ (e12 = e10)
% 244.40/48.51    (44)  all_25_10 = e14
% 244.40/48.51    (45)   ~ (all_14_9 = e12)
% 244.40/48.51    (46)   ~ (all_14_19 = e14)
% 244.40/48.51    (47)   ~ (all_14_14 = e13)
% 244.40/48.51    (48)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.40/48.51            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.40/48.51            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.40/48.51    (49)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.51            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.51            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.51    (50)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.40/48.51              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.40/48.51            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51    (51)   ~ (all_14_19 = e13)
% 244.40/48.51    (52)  op1(e10, unit1) = e10
% 244.40/48.51    (53)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.40/48.51    (54)  op1(unit1, e14) = e14
% 244.40/48.51    (55)  op1(e14, e12) = all_14_10
% 244.40/48.51    (56)  all_25_18 = e12
% 244.40/48.51    (57)   ~ (all_14_10 = e12)
% 244.40/48.51    (58)  op1(e11, e11) = all_14_18
% 244.40/48.51    (59)   ~ (all_14_19 = e10)
% 244.40/48.51    (60)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.51            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.51            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.51    (61)  op1(unit1, e12) = e12
% 244.40/48.51    (62)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.40/48.51              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.40/48.51            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.40/48.51    (63)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.51            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.51            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.51    (64)  op1(e10, e11) = all_14_19
% 244.40/48.51    (65)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.51            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.51            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.51    (66)  op1(e10, e12) = all_14_14
% 244.40/48.51    (67)  op1(e13, e14) = e12
% 244.40/48.51    (68)   ~ (e14 = e12)
% 244.40/48.51    (69)  all_25_17 = e13
% 244.40/48.51  
% 244.40/48.51  Begin of proof
% 244.40/48.51  | 
% 244.40/48.51  | BETA: splitting (65) gives:
% 244.40/48.51  | 
% 244.40/48.51  | Case 1:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (70)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 244.40/48.51  | |             e13) = e14)
% 244.40/48.51  | | 
% 244.40/48.51  | | BETA: splitting (70) gives:
% 244.40/48.51  | | 
% 244.40/48.51  | | Case 1:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (71)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.40/48.51  | | | 
% 244.40/48.51  | | | REF_CLOSE: (9), (68), (71) are inconsistent by sub-proof #1292.
% 244.40/48.51  | | | 
% 244.40/48.51  | | Case 2:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (72)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.40/48.51  | | | 
% 244.40/48.51  | | | REF_CLOSE: (17), (18), (72) are inconsistent by sub-proof #1291.
% 244.40/48.51  | | | 
% 244.40/48.51  | | End of split
% 244.40/48.51  | | 
% 244.40/48.51  | Case 2:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (73)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 244.40/48.51  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.51  | | 
% 244.40/48.51  | | BETA: splitting (73) gives:
% 244.40/48.51  | | 
% 244.40/48.51  | | Case 1:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (74)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.40/48.51  | | | 
% 244.40/48.51  | | | ALPHA: (74) implies:
% 244.40/48.51  | | |   (75)  all_25_7 = e14
% 244.40/48.51  | | | 
% 244.40/48.51  | | | BETA: splitting (13) gives:
% 244.40/48.51  | | | 
% 244.40/48.51  | | | Case 1:
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | |   (76)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 244.40/48.51  | | | |           op1(e11, e13) = e14)
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | REF_CLOSE: (3), (4), (35), (68), (76) are inconsistent by sub-proof
% 244.40/48.51  | | | |            #428.
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | Case 2:
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | |   (77)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 244.40/48.51  | | | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | BETA: splitting (77) gives:
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | Case 1:
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | |   (78)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | | REF_CLOSE: (4), (9), (15), (17), (18), (19), (21), (34), (35), (65),
% 244.40/48.51  | | | | |            (68), (75), (78) are inconsistent by sub-proof #469.
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | Case 2:
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | |   (79)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.40/48.51  | | | | |           op1(e11, e10) = e14)
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | | BETA: splitting (79) gives:
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | | Case 1:
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | |   (80)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | | ALPHA: (80) implies:
% 244.40/48.51  | | | | | |   (81)  op1(e11, e11) = e14
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | | REF_CLOSE: (34), (39), (58), (81) are inconsistent by sub-proof
% 244.40/48.51  | | | | | |            #1098.
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | Case 2:
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | |   (82)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | | ALPHA: (82) implies:
% 244.40/48.51  | | | | | |   (83)  all_25_19 = e14
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | | BETA: splitting (29) gives:
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | | Case 1:
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | |   (84)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11
% 244.40/48.51  | | | | | | |           & op1(e13, e10) = e11)
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | | BETA: splitting (84) gives:
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | |   (85)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | ALPHA: (85) implies:
% 244.40/48.51  | | | | | | | |   (86)  all_25_16 = e11
% 244.40/48.51  | | | | | | | |   (87)  op1(e14, e10) = e11
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | BETA: splitting (27) gives:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | |   (88)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 =
% 244.40/48.51  | | | | | | | | |           e10 & op1(e13, e14) = e10)
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | REF_CLOSE: (4), (6), (7), (14), (16), (17), (18), (20), (21),
% 244.40/48.51  | | | | | | | | |            (33), (34), (36), (37), (40), (41), (42), (43),
% 244.40/48.51  | | | | | | | | |            (49), (63), (68), (69), (88) are inconsistent by
% 244.40/48.51  | | | | | | | | |            sub-proof #427.
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | |   (89)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 =
% 244.40/48.51  | | | | | | | | |           e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 244.40/48.51  | | | | | | | | |           op1(e10, e14) = e10)
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | BETA: splitting (89) gives:
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | |   (90)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | ALPHA: (90) implies:
% 244.40/48.51  | | | | | | | | | |   (91)  all_25_6 = e10
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | BETA: splitting (48) gives:
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | |   (92)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 244.40/48.51  | | | | | | | | | | |           = e11 & op1(e13, e14) = e11)
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | BETA: splitting (92) gives:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (93)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | REF_CLOSE: (33), (36), (93) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | |            #1241.
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (94)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | REF_CLOSE: (6), (16), (94) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | |            #1189.
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | |   (95)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 244.40/48.51  | | | | | | | | | | |         (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.40/48.51  | | | | | | | | | | |         (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | BETA: splitting (95) gives:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (96)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | REF_CLOSE: (40), (91), (96) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | |            #1015.
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (97)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.40/48.51  | | | | | | | | | | | |         (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | BETA: splitting (97) gives:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (98)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | REF_CLOSE: (3), (16), (98) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | | |            #473.
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (99)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | ALPHA: (99) implies:
% 244.40/48.51  | | | | | | | | | | | | |   (100)  all_25_20 = e11
% 244.40/48.51  | | | | | | | | | | | | |   (101)  op1(e10, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | BETA: splitting (50) gives:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | |   (102)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (17), (18), (20), (21), (34),
% 244.40/48.51  | | | | | | | | | | | | | |            (36), (37), (41), (42), (47), (51), (62), (63),
% 244.40/48.51  | | | | | | | | | | | | | |            (64), (66), (68), (69), (100), (102) are
% 244.40/48.51  | | | | | | | | | | | | | |            inconsistent by sub-proof #948.
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | |   (103)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (104)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | ALPHA: (104) implies:
% 244.40/48.51  | | | | | | | | | | | | | | |   (105)  op1(e10, e12) = e14
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (26), (34), (37), (41), (52), (53),
% 244.40/48.51  | | | | | | | | | | | | | | |            (54), (59), (61), (64), (67), (101), (105) are
% 244.40/48.51  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1203.
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (106)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.40/48.51  | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (17), (20), (21), (28), (32),
% 244.40/48.51  | | | | | | | | | | | | | | |            (34), (36), (37), (41), (42), (46), (56), (64),
% 244.40/48.51  | | | | | | | | | | | | | | |            (68), (83), (86), (106) are inconsistent by
% 244.40/48.51  | | | | | | | | | | | | | | |            sub-proof #426.
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | |   (107)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 244.40/48.51  | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | BETA: splitting (107) gives:
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | |   (108)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (14), (16), (17), (20), (21),
% 244.40/48.51  | | | | | | | | | | |            (34), (36), (37), (40), (41), (42), (43), (49),
% 244.40/48.51  | | | | | | | | | | |            (63), (68), (108) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | |            #1215.
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | |   (109)  all_25_20 = e10 & op1(e10, e14) = e10
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | ALPHA: (109) implies:
% 244.40/48.51  | | | | | | | | | | |   (110)  all_25_20 = e10
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | BETA: splitting (50) gives:
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (111)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.40/48.51  | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | BETA: splitting (111) gives:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (112)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | ALPHA: (112) implies:
% 244.40/48.51  | | | | | | | | | | | | |   (113)  all_25_20 = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | COMBINE_EQS: (110), (113) imply:
% 244.40/48.51  | | | | | | | | | | | | |   (114)  e14 = e10
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | SIMP: (114) implies:
% 244.40/48.51  | | | | | | | | | | | | |   (115)  e14 = e10
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | COMBINE_EQS: (83), (115) imply:
% 244.40/48.51  | | | | | | | | | | | | |   (116)  all_25_19 = e10
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (17), (20), (21), (28), (32),
% 244.40/48.51  | | | | | | | | | | | | |            (34), (36), (37), (41), (42), (56), (68), (86),
% 244.40/48.51  | | | | | | | | | | | | |            (116) are inconsistent by sub-proof #449.
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (117)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | ALPHA: (117) implies:
% 244.40/48.51  | | | | | | | | | | | | |   (118)  op1(e10, e13) = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (17), (18), (20), (21), (34),
% 244.40/48.51  | | | | | | | | | | | | |            (36), (37), (41), (42), (47), (51), (62), (63),
% 244.40/48.51  | | | | | | | | | | | | |            (64), (66), (68), (69), (110), (118) are
% 244.40/48.51  | | | | | | | | | | | | |            inconsistent by sub-proof #1213.
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | |   (119)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.40/48.51  | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.40/48.51  | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | BETA: splitting (119) gives:
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (120)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | ALPHA: (120) implies:
% 244.40/48.51  | | | | | | | | | | | | |   (121)  op1(e10, e12) = e14
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | BETA: splitting (30) gives:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | |   (122)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (123)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (123) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | | | | |            #473.
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (124)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 244.40/48.51  | | | | | | | | | | | | | | |   (125)  all_25_13 = e11
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (9), (14), (16), (17), (18), (19),
% 244.40/48.51  | | | | | | | | | | | | | | |            (20), (21), (31), (34), (36), (37), (40), (41),
% 244.40/48.51  | | | | | | | | | | | | | | |            (42), (43), (49), (60), (63), (65), (68), (69),
% 244.40/48.51  | | | | | | | | | | | | | | |            (125) are inconsistent by sub-proof #446.
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | |   (126)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (127)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | REF_CLOSE: (15), (36), (127) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | | | | |            #477.
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | |   (128)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | |   (129)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 244.40/48.51  | | | | | | | | | | | | | | | |   (130)  all_25_15 = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | |   (131)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (26), (31), (34), (36), (37), (41),
% 244.40/48.51  | | | | | | | | | | | | | | | | |            (52), (53), (54), (59), (61), (64), (67), (121),
% 244.40/48.51  | | | | | | | | | | | | | | | | |            (131) are inconsistent by sub-proof #424.
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | |   (132)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | |   (133)  all_25_22 = e11 & op1(e10, e12) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (26), (34), (37), (52), (53), (55),
% 244.40/48.51  | | | | | | | | | | | | | | | | | |            (57), (59), (61), (64), (133) are inconsistent by
% 244.40/48.51  | | | | | | | | | | | | | | | | | |            sub-proof #1266.
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | |   (134)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 244.40/48.51  | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (135)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (136)  all_25_23 = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |   (137)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (16), (20), (26), (34), (37), (45),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |            (52), (53), (54), (55), (57), (59), (61), (64),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |            (87), (137) are inconsistent by sub-proof #1039.
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |   (138)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |   (139)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |   (140)  all_25_22 = e12
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (19), (21), (34), (46), (50), (64),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |            (68), (110), (140) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |            #1205.
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |   (141)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (14), (16), (17), (20), (21),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |            (34), (36), (37), (40), (41), (42), (43), (49),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |            (63), (68), (136), (141) are inconsistent by
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (142)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (143)  all_25_24 = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (143) imply:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (144)  e11 = e10
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | SIMP: (144) implies:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (145)  e11 = e10
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (145) imply:
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |   (146)  all_25_15 = e10
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (8), (12), (14), (16), (17),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |            (20), (21), (23), (24), (25), (28), (34), (36),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |            (37), (40), (41), (42), (43), (44), (49), (63),
% 244.40/48.51  | | | | | | | | | | | | | | | | | | |            (68), (146) are inconsistent by sub-proof #421.
% 244.40/48.51  | | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | |   (147)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (83), (147) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | | | | | | | | |            #1008.
% 244.40/48.51  | | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | |   (148)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.40/48.51  | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (11), (17), (20), (21), (28), (32),
% 244.40/48.51  | | | | | | | | | | | | |            (34), (36), (37), (41), (42), (46), (56), (64),
% 244.40/48.51  | | | | | | | | | | | | |            (68), (83), (86), (148) are inconsistent by
% 244.40/48.51  | | | | | | | | | | | | |            sub-proof #426.
% 244.40/48.51  | | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | |   (149)  all_25_17 = e11 & op1(e13, e10) = e11
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | REF_CLOSE: (36), (69), (149) are inconsistent by sub-proof #940.
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | End of split
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | Case 2:
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | |   (150)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.51  | | | | | | |            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 244.40/48.51  | | | | | | |            op1(e10, e10) = e11)
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | | BETA: splitting (150) gives:
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | |   (151)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | ALPHA: (151) implies:
% 244.40/48.51  | | | | | | | |   (152)  op1(e12, e10) = e11
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | REF_CLOSE: (16), (22), (34), (152) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | |            #926.
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | |   (153)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 =
% 244.40/48.51  | | | | | | | |            e11 & op1(e10, e10) = e11)
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | BETA: splitting (153) gives:
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | | Case 1:
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | |   (154)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | ALPHA: (154) implies:
% 244.40/48.51  | | | | | | | | |   (155)  all_25_19 = e11
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | REF_CLOSE: (17), (83), (155) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | |            #1097.
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | Case 2:
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | |   (156)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | | REF_CLOSE: (11), (40), (156) are inconsistent by sub-proof
% 244.40/48.51  | | | | | | | | |            #1259.
% 244.40/48.51  | | | | | | | | | 
% 244.40/48.51  | | | | | | | | End of split
% 244.40/48.51  | | | | | | | | 
% 244.40/48.51  | | | | | | | End of split
% 244.40/48.51  | | | | | | | 
% 244.40/48.51  | | | | | | End of split
% 244.40/48.51  | | | | | | 
% 244.40/48.51  | | | | | End of split
% 244.40/48.51  | | | | | 
% 244.40/48.51  | | | | End of split
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | End of split
% 244.40/48.51  | | | 
% 244.40/48.51  | | Case 2:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (157)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 244.40/48.51  | | |            op1(e10, e13) = e14)
% 244.40/48.51  | | | 
% 244.40/48.51  | | | REF_CLOSE: (4), (19), (21), (34), (35), (157) are inconsistent by
% 244.40/48.51  | | |            sub-proof #1273.
% 244.40/48.51  | | | 
% 244.40/48.51  | | End of split
% 244.40/48.51  | | 
% 244.40/48.51  | End of split
% 244.40/48.51  | 
% 244.40/48.51  End of proof
% 244.40/48.51  
% 244.40/48.51  Sub-proof #421 shows that the following formulas are inconsistent:
% 244.40/48.51  ----------------------------------------------------------------
% 244.40/48.51    (1)  all_25_9 = e10
% 244.40/48.51    (2)   ~ (e14 = e10)
% 244.40/48.51    (3)  all_25_2 = e12
% 244.40/48.51    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.51           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.51           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.51    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.51           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.51           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.51    (6)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 244.40/48.51           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.40/48.51           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.51    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.51           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.51           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.51    (8)   ~ (e12 = e11)
% 244.40/48.51    (9)   ~ (e14 = e11)
% 244.40/48.51    (10)   ~ (e13 = e10)
% 244.40/48.51    (11)   ~ (e14 = e13)
% 244.40/48.51    (12)   ~ (all_14_15 = e12)
% 244.40/48.51    (13)  all_25_11 = e13
% 244.40/48.51    (14)  op1(e14, e11) = all_14_15
% 244.40/48.51    (15)  op1(e13, e11) = e14
% 244.40/48.51    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.51    (17)   ~ (e13 = e11)
% 244.40/48.51    (18)  op1(e13, e12) = e10
% 244.40/48.51    (19)   ~ (e11 = e10)
% 244.40/48.51    (20)   ~ (e13 = e12)
% 244.40/48.51    (21)  op1(e13, e13) = e11
% 244.40/48.51    (22)   ~ (e12 = e10)
% 244.40/48.51    (23)  all_25_10 = e14
% 244.40/48.51    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.51            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.51            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.51    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.51            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.51            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.51    (26)   ~ (e14 = e12)
% 244.40/48.51    (27)  all_25_15 = e10
% 244.40/48.51  
% 244.40/48.51  Begin of proof
% 244.40/48.51  | 
% 244.40/48.51  | BETA: splitting (6) gives:
% 244.40/48.51  | 
% 244.40/48.51  | Case 1:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (28)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.40/48.51  | |             e11) = e12)
% 244.40/48.51  | | 
% 244.40/48.51  | | REF_CLOSE: (12), (14), (15), (16), (26), (28) are inconsistent by sub-proof
% 244.40/48.51  | |            #1223.
% 244.40/48.51  | | 
% 244.40/48.51  | Case 2:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (29)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.40/48.51  | |           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.40/48.51  | | 
% 244.40/48.51  | | BETA: splitting (29) gives:
% 244.40/48.51  | | 
% 244.40/48.51  | | Case 1:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (30)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.40/48.51  | | | 
% 244.40/48.51  | | | REF_CLOSE: (13), (20), (30) are inconsistent by sub-proof #1025.
% 244.40/48.51  | | | 
% 244.40/48.51  | | Case 2:
% 244.40/48.51  | | | 
% 244.40/48.51  | | |   (31)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 244.40/48.51  | | |           op1(e10, e11) = e12)
% 244.40/48.51  | | | 
% 244.40/48.51  | | | BETA: splitting (31) gives:
% 244.40/48.51  | | | 
% 244.40/48.51  | | | Case 1:
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | |   (32)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (11), (16), (17), (18),
% 244.40/48.51  | | | |            (19), (20), (21), (22), (24), (25), (26), (27), (32) are
% 244.40/48.51  | | | |            inconsistent by sub-proof #1024.
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | Case 2:
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | |   (33)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | ALPHA: (33) implies:
% 244.40/48.51  | | | |   (34)  all_25_23 = e12
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | | REF_CLOSE: (1), (5), (8), (9), (13), (17), (19), (23), (27), (34) are
% 244.40/48.51  | | | |            inconsistent by sub-proof #422.
% 244.40/48.51  | | | | 
% 244.40/48.51  | | | End of split
% 244.40/48.51  | | | 
% 244.40/48.51  | | End of split
% 244.40/48.51  | | 
% 244.40/48.51  | End of split
% 244.40/48.51  | 
% 244.40/48.51  End of proof
% 244.40/48.51  
% 244.40/48.51  Sub-proof #422 shows that the following formulas are inconsistent:
% 244.40/48.51  ----------------------------------------------------------------
% 244.40/48.51    (1)  all_25_9 = e10
% 244.40/48.51    (2)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.40/48.51           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.51           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.51    (3)   ~ (e12 = e11)
% 244.40/48.51    (4)   ~ (e14 = e11)
% 244.40/48.51    (5)  all_25_11 = e13
% 244.40/48.51    (6)   ~ (e13 = e11)
% 244.40/48.51    (7)   ~ (e11 = e10)
% 244.40/48.51    (8)  all_25_10 = e14
% 244.40/48.51    (9)  all_25_15 = e10
% 244.40/48.51    (10)  all_25_23 = e12
% 244.40/48.51  
% 244.40/48.51  Begin of proof
% 244.40/48.51  | 
% 244.40/48.51  | BETA: splitting (2) gives:
% 244.40/48.51  | 
% 244.40/48.51  | Case 1:
% 244.40/48.51  | | 
% 244.40/48.51  | |   (11)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 244.40/48.51  | |             e11) = e11)
% 244.40/48.51  | | 
% 244.40/48.51  | | REF_CLOSE: (1), (4), (7), (8), (11) are inconsistent by sub-proof #983.
% 244.40/48.51  | | 
% 244.40/48.51  | Case 2:
% 244.40/48.51  | | 
% 244.40/48.52  | |   (12)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.40/48.52  | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.40/48.52  | | 
% 244.40/48.52  | | BETA: splitting (12) gives:
% 244.40/48.52  | | 
% 244.40/48.52  | | Case 1:
% 244.40/48.52  | | | 
% 244.40/48.52  | | |   (13)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.40/48.52  | | | 
% 244.40/48.52  | | | REF_CLOSE: (5), (6), (13) are inconsistent by sub-proof #423.
% 244.40/48.52  | | | 
% 244.40/48.52  | | Case 2:
% 244.40/48.52  | | | 
% 244.40/48.52  | | |   (14)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 244.40/48.52  | | |           op1(e10, e11) = e11)
% 244.40/48.52  | | | 
% 244.40/48.52  | | | REF_CLOSE: (3), (7), (9), (10), (14) are inconsistent by sub-proof #1016.
% 244.40/48.52  | | | 
% 244.40/48.52  | | End of split
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #423 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.40/48.52    (2)  all_25_11 = e13
% 244.40/48.52    (3)   ~ (e13 = e11)
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | ALPHA: (1) implies:
% 244.40/48.52  |   (4)  all_25_11 = e11
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (2), (4) imply:
% 244.40/48.52  |   (5)  e13 = e11
% 244.40/48.52  | 
% 244.40/48.52  | REDUCE: (3), (5) imply:
% 244.40/48.52  |   (6)  $false
% 244.40/48.52  | 
% 244.40/48.52  | CLOSE: (6) is inconsistent.
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #424 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e12 = e11)
% 244.40/48.52    (2)   ~ (e13 = e10)
% 244.40/48.52    (3)  op1(e10, e12) = e14
% 244.40/48.52    (4)  op1(e13, unit1) = e13
% 244.40/48.52    (5)  all_25_21 = e13
% 244.40/48.52    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (7)   ~ (e13 = e11)
% 244.40/48.52    (8)  op1(e13, e12) = e10
% 244.40/48.52    (9)   ~ (e13 = e12)
% 244.40/48.52    (10)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.40/48.52              e13) = e11)
% 244.40/48.52    (11)  op1(e10, unit1) = e10
% 244.40/48.52    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.40/48.52    (13)  op1(unit1, e14) = e14
% 244.40/48.52    (14)   ~ (all_14_19 = e10)
% 244.40/48.52    (15)  op1(unit1, e12) = e12
% 244.40/48.52    (16)  op1(e10, e11) = all_14_19
% 244.40/48.52    (17)  op1(e13, e14) = e12
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (10) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (18)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (18) implies:
% 244.40/48.52  | |   (19)  op1(e10, e14) = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (12), (13), (14), (15),
% 244.40/48.52  | |            (16), (17), (19) are inconsistent by sub-proof #1203.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (20)  all_25_21 = e11 & op1(e10, e13) = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (5), (7), (20) are inconsistent by sub-proof #425.
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #425 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)  all_25_21 = e11 & op1(e10, e13) = e11
% 244.40/48.52    (2)  all_25_21 = e13
% 244.40/48.52    (3)   ~ (e13 = e11)
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | ALPHA: (1) implies:
% 244.40/48.52  |   (4)  all_25_21 = e11
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (2), (4) imply:
% 244.40/48.52  |   (5)  e13 = e11
% 244.40/48.52  | 
% 244.40/48.52  | REDUCE: (3), (5) imply:
% 244.40/48.52  |   (6)  $false
% 244.40/48.52  | 
% 244.40/48.52  | CLOSE: (6) is inconsistent.
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #426 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  all_25_24 = e10
% 244.40/48.52    (5)   ~ (e14 = e11)
% 244.40/48.52    (6)   ~ (e13 = e10)
% 244.40/48.52    (7)   ~ (e14 = e13)
% 244.40/48.52    (8)  all_25_19 = e14
% 244.40/48.52    (9)  op1(e13, e11) = e14
% 244.40/48.52    (10)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.52              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.52            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.52    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (12)   ~ (e13 = e11)
% 244.40/48.52    (13)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 244.40/48.52              e10) = e14)
% 244.40/48.52    (14)  op1(e13, e12) = e10
% 244.40/48.52    (15)   ~ (e13 = e12)
% 244.40/48.52    (16)  op1(e13, e13) = e11
% 244.40/48.52    (17)  all_25_16 = e11
% 244.40/48.52    (18)   ~ (all_14_19 = e14)
% 244.40/48.52    (19)  all_25_18 = e12
% 244.40/48.52    (20)  op1(e10, e11) = all_14_19
% 244.40/48.52    (21)   ~ (e14 = e12)
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (13) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (22)  all_25_23 = e14 & op1(e10, e11) = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (22) implies:
% 244.40/48.52  | |   (23)  op1(e10, e11) = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (11), (18), (20), (23) are inconsistent by sub-proof #1257.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (24)  all_25_24 = e14 & op1(e10, e10) = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (24) implies:
% 244.40/48.52  | |   (25)  all_25_24 = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | COMBINE_EQS: (4), (25) imply:
% 244.40/48.52  | |   (26)  e14 = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | SIMP: (26) implies:
% 244.40/48.52  | |   (27)  e14 = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | COMBINE_EQS: (8), (27) imply:
% 244.40/48.52  | |   (28)  all_25_19 = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14),
% 244.40/48.52  | |            (15), (16), (17), (19), (21), (28) are inconsistent by sub-proof
% 244.40/48.52  | |            #449.
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #427 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (5)   ~ (e12 = e11)
% 244.40/48.52    (6)   ~ (e14 = e11)
% 244.40/48.52    (7)  all_25_3 = e11
% 244.40/48.52    (8)   ~ (e13 = e10)
% 244.40/48.52    (9)   ~ (e14 = e13)
% 244.40/48.52    (10)  all_25_0 = e13
% 244.40/48.52    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (12)   ~ (e13 = e11)
% 244.40/48.52    (13)  op1(e13, e12) = e10
% 244.40/48.52    (14)   ~ (e11 = e10)
% 244.40/48.52    (15)   ~ (e13 = e12)
% 244.40/48.52    (16)  op1(e13, e13) = e11
% 244.40/48.52    (17)   ~ (e12 = e10)
% 244.40/48.52    (18)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 244.40/48.52            = e10)
% 244.40/48.52    (19)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.52    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.52    (21)   ~ (e14 = e12)
% 244.40/48.52    (22)  all_25_17 = e13
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (18) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (23)  all_25_0 = e10 & op1(e14, e14) = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (13), (15),
% 244.40/48.52  | |            (16), (20), (21), (22), (23) are inconsistent by sub-proof #1246.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (24)  all_25_2 = e10 & op1(e13, e14) = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (24) implies:
% 244.40/48.52  | |   (25)  all_25_2 = e10
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14), (15),
% 244.40/48.52  | |            (16), (17), (19), (20), (21), (25) are inconsistent by sub-proof
% 244.40/48.52  | |            #1281.
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #428 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)  all_25_12 = e12
% 244.40/48.52    (2)   ~ (e14 = e10)
% 244.40/48.52    (3)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.40/48.52             e13) = e14)
% 244.40/48.52    (4)  all_25_13 = e10
% 244.40/48.52    (5)   ~ (e14 = e12)
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (3) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (6)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #429.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (7)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (7) implies:
% 244.40/48.52  | |   (8)  all_25_13 = e14
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1275.
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #429 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.40/48.52    (2)  all_25_12 = e12
% 244.40/48.52    (3)   ~ (e14 = e12)
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | ALPHA: (1) implies:
% 244.40/48.52  |   (4)  all_25_12 = e14
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (2), (4) imply:
% 244.40/48.52  |   (5)  e14 = e12
% 244.40/48.52  | 
% 244.40/48.52  | SIMP: (5) implies:
% 244.40/48.52  |   (6)  e14 = e12
% 244.40/48.52  | 
% 244.40/48.52  | REDUCE: (3), (6) imply:
% 244.40/48.52  |   (7)  $false
% 244.40/48.52  | 
% 244.40/48.52  | CLOSE: (7) is inconsistent.
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #430 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  all_25_1 = e12
% 244.40/48.52    (5)  all_25_22 = e12
% 244.40/48.52    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (7)   ~ (e12 = e11)
% 244.40/48.52    (8)   ~ (e14 = e11)
% 244.40/48.52    (9)  all_25_3 = e11
% 244.40/48.52    (10)  op1(e10, e13) = e13
% 244.40/48.52    (11)   ~ (e13 = e10)
% 244.40/48.52    (12)   ~ (e14 = e13)
% 244.40/48.52    (13)  all_25_13 = e14
% 244.40/48.52    (14)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.40/48.52    (15)  all_25_21 = e13
% 244.40/48.52    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (17)   ~ (e13 = e11)
% 244.40/48.52    (18)  op1(e13, e12) = e10
% 244.40/48.52    (19)   ~ (e11 = e10)
% 244.40/48.52    (20)   ~ (e13 = e12)
% 244.40/48.52    (21)  op1(e13, e13) = e11
% 244.40/48.52    (22)   ~ (e12 = e10)
% 244.40/48.52    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.52    (24)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.52            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.52            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.52    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.52    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.52            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.52    (27)   ~ (e14 = e12)
% 244.40/48.52    (28)  all_25_17 = e13
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | ALPHA: (14) implies:
% 244.40/48.52  |   (29)  all_25_22 = e14
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (5), (29) imply:
% 244.40/48.52  |   (30)  e14 = e12
% 244.40/48.52  | 
% 244.40/48.52  | SIMP: (30) implies:
% 244.40/48.52  |   (31)  e14 = e12
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (13), (31) imply:
% 244.40/48.52  |   (32)  all_25_13 = e12
% 244.40/48.52  | 
% 244.40/48.52  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (15),
% 244.40/48.52  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 244.40/48.52  |            (27), (28), (32) are inconsistent by sub-proof #471.
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #431 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  all_25_1 = e12
% 244.40/48.52    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (6)   ~ (e12 = e11)
% 244.40/48.52    (7)   ~ (e14 = e11)
% 244.40/48.52    (8)  all_25_3 = e11
% 244.40/48.52    (9)  op1(e10, e13) = e13
% 244.40/48.52    (10)   ~ (e13 = e10)
% 244.40/48.52    (11)   ~ (e14 = e13)
% 244.40/48.52    (12)  all_25_13 = e14
% 244.40/48.52    (13)  all_25_21 = e13
% 244.40/48.52    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (15)   ~ (e13 = e11)
% 244.40/48.52    (16)  op1(e13, e12) = e10
% 244.40/48.52    (17)   ~ (e11 = e10)
% 244.40/48.52    (18)   ~ (e13 = e12)
% 244.40/48.52    (19)  op1(e13, e13) = e11
% 244.40/48.52    (20)   ~ (e12 = e10)
% 244.40/48.52    (21)  e14 = e13
% 244.40/48.52    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.52    (23)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.52            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.52            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.52    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.52    (25)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.52            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.52    (26)   ~ (e14 = e12)
% 244.40/48.52    (27)  all_25_17 = e13
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | SIMP: (21) implies:
% 244.40/48.52  |   (28)  e14 = e13
% 244.40/48.52  | 
% 244.40/48.52  | COMBINE_EQS: (12), (28) imply:
% 244.40/48.52  |   (29)  all_25_13 = e13
% 244.40/48.52  | 
% 244.40/48.52  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 244.40/48.52  |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 244.40/48.52  |            (26), (27), (29) are inconsistent by sub-proof #1247.
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #432 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_14 = e12
% 244.40/48.52    (3)  all_25_2 = e12
% 244.40/48.52    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (5)  all_25_1 = e12
% 244.40/48.52    (6)  all_25_24 = e10
% 244.40/48.52    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (8)   ~ (e12 = e11)
% 244.40/48.52    (9)   ~ (e14 = e11)
% 244.40/48.52    (10)  all_25_3 = e11
% 244.40/48.52    (11)  op1(e10, e13) = e13
% 244.40/48.52    (12)   ~ (e13 = e10)
% 244.40/48.52    (13)  op1(e11, e12) = all_14_13
% 244.40/48.52    (14)   ~ (e14 = e13)
% 244.40/48.52    (15)  all_25_13 = e14
% 244.40/48.52    (16)  op1(e13, unit1) = e13
% 244.40/48.52    (17)  op1(e13, e11) = e14
% 244.40/48.52    (18)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.52              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.52            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.52    (19)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.52              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.40/48.52            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.52    (20)  all_25_21 = e13
% 244.40/48.52    (21)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.52              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.52            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.52    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (23)  all_25_15 = e13
% 244.40/48.52    (24)   ~ (e13 = e11)
% 244.40/48.52    (25)  op1(e13, e12) = e10
% 244.40/48.52    (26)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.40/48.52              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.40/48.52            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.52    (27)   ~ (e11 = e10)
% 244.40/48.52    (28)   ~ (all_14_13 = e10)
% 244.40/48.52    (29)   ~ (e13 = e12)
% 244.40/48.52    (30)  op1(e13, e13) = e11
% 244.40/48.52    (31)   ~ (e12 = e10)
% 244.40/48.52    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.52    (33)  all_25_19 = e10
% 244.40/48.52    (34)  op1(e14, e10) = all_14_20
% 244.40/48.52    (35)   ~ (all_14_20 = e12)
% 244.40/48.52    (36)  op1(e10, unit1) = e10
% 244.40/48.52    (37)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.40/48.52    (38)  op1(e14, e12) = all_14_10
% 244.40/48.52    (39)   ~ (all_14_10 = e12)
% 244.40/48.52    (40)   ~ (all_14_19 = e10)
% 244.40/48.52    (41)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.52            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.52            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.52    (42)  op1(unit1, e12) = e12
% 244.40/48.52    (43)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.52    (44)  op1(e10, e11) = all_14_19
% 244.40/48.52    (45)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.52            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.52    (46)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.40/48.52              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.40/48.52            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.40/48.52    (47)   ~ (e14 = e12)
% 244.40/48.52    (48)  all_25_17 = e13
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (19) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (49)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 244.40/48.52  | |           op1(e11, e13) = e11)
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.40/48.52  | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 244.40/48.52  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 244.40/48.52  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 244.40/48.52  | |            (48), (49) are inconsistent by sub-proof #433.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (50)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 244.40/48.52  | |           op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.40/48.52  | | 
% 244.40/48.52  | | BETA: splitting (50) gives:
% 244.40/48.52  | | 
% 244.40/48.52  | | Case 1:
% 244.40/48.52  | | | 
% 244.40/48.52  | | |   (51)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.40/48.52  | | | 
% 244.40/48.52  | | | REF_CLOSE: (2), (8), (51) are inconsistent by sub-proof #1108.
% 244.40/48.52  | | | 
% 244.40/48.52  | | Case 2:
% 244.40/48.52  | | | 
% 244.40/48.52  | | |   (52)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 244.40/48.52  | | |           op1(e11, e10) = e11)
% 244.40/48.52  | | | 
% 244.40/48.52  | | | BETA: splitting (52) gives:
% 244.40/48.52  | | | 
% 244.40/48.52  | | | Case 1:
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | |   (53)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | | REF_CLOSE: (23), (24), (53) are inconsistent by sub-proof #441.
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | Case 2:
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | |   (54)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | | REF_CLOSE: (27), (33), (54) are inconsistent by sub-proof #1103.
% 244.40/48.52  | | | | 
% 244.40/48.52  | | | End of split
% 244.40/48.52  | | | 
% 244.40/48.52  | | End of split
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #433 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  all_25_1 = e12
% 244.40/48.52    (5)  all_25_24 = e10
% 244.40/48.52    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (7)   ~ (e12 = e11)
% 244.40/48.52    (8)   ~ (e14 = e11)
% 244.40/48.52    (9)  all_25_3 = e11
% 244.40/48.52    (10)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.40/48.52              e13) = e11)
% 244.40/48.52    (11)  op1(e10, e13) = e13
% 244.40/48.52    (12)   ~ (e13 = e10)
% 244.40/48.52    (13)  op1(e11, e12) = all_14_13
% 244.40/48.52    (14)   ~ (e14 = e13)
% 244.40/48.52    (15)  all_25_13 = e14
% 244.40/48.52    (16)  op1(e13, unit1) = e13
% 244.40/48.52    (17)  op1(e13, e11) = e14
% 244.40/48.52    (18)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.52              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.52            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.52    (19)  all_25_21 = e13
% 244.40/48.52    (20)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.52              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.52            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.52    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.52    (22)  all_25_15 = e13
% 244.40/48.52    (23)   ~ (e13 = e11)
% 244.40/48.52    (24)  op1(e13, e12) = e10
% 244.40/48.52    (25)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.40/48.52              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.40/48.52            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.52    (26)   ~ (e11 = e10)
% 244.40/48.52    (27)   ~ (all_14_13 = e10)
% 244.40/48.52    (28)   ~ (e13 = e12)
% 244.40/48.52    (29)  op1(e13, e13) = e11
% 244.40/48.52    (30)   ~ (e12 = e10)
% 244.40/48.52    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.40/48.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.40/48.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.40/48.52    (32)  all_25_19 = e10
% 244.40/48.52    (33)  op1(e14, e10) = all_14_20
% 244.40/48.52    (34)   ~ (all_14_20 = e12)
% 244.40/48.52    (35)  op1(e10, unit1) = e10
% 244.40/48.52    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.40/48.52    (37)  op1(e14, e12) = all_14_10
% 244.40/48.52    (38)   ~ (all_14_10 = e12)
% 244.40/48.52    (39)   ~ (all_14_19 = e10)
% 244.40/48.52    (40)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.40/48.52            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.40/48.52            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.40/48.52    (41)  op1(unit1, e12) = e12
% 244.40/48.52    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.40/48.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.40/48.52    (43)  op1(e10, e11) = all_14_19
% 244.40/48.52    (44)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.40/48.52            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.40/48.52            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.40/48.52    (45)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.40/48.52              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.40/48.52            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.40/48.52    (46)   ~ (e14 = e12)
% 244.40/48.52    (47)  all_25_17 = e13
% 244.40/48.52  
% 244.40/48.52  Begin of proof
% 244.40/48.52  | 
% 244.40/48.52  | BETA: splitting (10) gives:
% 244.40/48.52  | 
% 244.40/48.52  | Case 1:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (48)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (48) implies:
% 244.40/48.52  | |   (49)  all_25_12 = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (12), (13), (14), (15),
% 244.40/48.52  | |            (16), (17), (18), (20), (21), (22), (23), (24), (25), (26), (27),
% 244.40/48.52  | |            (28), (29), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 244.40/48.52  | |            (39), (41), (42), (43), (45), (46), (47), (49) are inconsistent
% 244.40/48.52  | |            by sub-proof #434.
% 244.40/48.52  | | 
% 244.40/48.52  | Case 2:
% 244.40/48.52  | | 
% 244.40/48.52  | |   (50)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | ALPHA: (50) implies:
% 244.40/48.52  | |   (51)  all_25_13 = e11
% 244.40/48.52  | | 
% 244.40/48.52  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (14), (19),
% 244.40/48.52  | |            (21), (23), (24), (26), (28), (29), (30), (31), (40), (42), (44),
% 244.40/48.52  | |            (46), (47), (51) are inconsistent by sub-proof #446.
% 244.40/48.52  | | 
% 244.40/48.52  | End of split
% 244.40/48.52  | 
% 244.40/48.52  End of proof
% 244.40/48.52  
% 244.40/48.52  Sub-proof #434 shows that the following formulas are inconsistent:
% 244.40/48.52  ----------------------------------------------------------------
% 244.40/48.52    (1)   ~ (e14 = e10)
% 244.40/48.52    (2)  all_25_2 = e12
% 244.40/48.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.40/48.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.40/48.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.40/48.52    (4)  all_25_24 = e10
% 244.40/48.52    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.40/48.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.40/48.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.40/48.52    (6)   ~ (e12 = e11)
% 244.40/48.52    (7)   ~ (e14 = e11)
% 244.40/48.52    (8)  all_25_3 = e11
% 244.40/48.52    (9)   ~ (e13 = e10)
% 244.40/48.52    (10)  op1(e11, e12) = all_14_13
% 244.40/48.52    (11)   ~ (e14 = e13)
% 244.40/48.52    (12)  all_25_13 = e14
% 244.40/48.52    (13)  op1(e13, unit1) = e13
% 244.40/48.52    (14)  op1(e13, e11) = e14
% 244.40/48.53    (15)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.40/48.53              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.40/48.53            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.40/48.53    (16)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.40/48.53              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.40/48.53            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.40/48.53    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.40/48.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.40/48.53    (18)  all_25_15 = e13
% 244.40/48.53    (19)   ~ (e13 = e11)
% 244.40/48.53    (20)  op1(e13, e12) = e10
% 244.40/48.53    (21)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.40/48.53              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.40/48.53            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.40/48.53    (22)   ~ (e11 = e10)
% 244.40/48.53    (23)   ~ (all_14_13 = e10)
% 244.40/48.53    (24)   ~ (e13 = e12)
% 244.47/48.53    (25)  op1(e13, e13) = e11
% 244.47/48.53    (26)   ~ (e12 = e10)
% 244.47/48.53    (27)  all_25_12 = e11
% 244.47/48.53    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.47/48.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.47/48.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.47/48.53    (29)  all_25_19 = e10
% 244.47/48.53    (30)  op1(e14, e10) = all_14_20
% 244.47/48.53    (31)   ~ (all_14_20 = e12)
% 244.47/48.53    (32)  op1(e10, unit1) = e10
% 244.47/48.53    (33)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.47/48.53    (34)  op1(e14, e12) = all_14_10
% 244.47/48.53    (35)   ~ (all_14_10 = e12)
% 244.47/48.53    (36)   ~ (all_14_19 = e10)
% 244.47/48.53    (37)  op1(unit1, e12) = e12
% 244.47/48.53    (38)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.53    (39)  op1(e10, e11) = all_14_19
% 244.47/48.53    (40)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.47/48.53              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.47/48.53            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.53    (41)   ~ (e14 = e12)
% 244.47/48.53    (42)  all_25_17 = e13
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | BETA: splitting (40) gives:
% 244.47/48.53  | 
% 244.47/48.53  | Case 1:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (43)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 244.47/48.53  | |           op1(e13, e10) = e12)
% 244.47/48.53  | | 
% 244.47/48.53  | | REF_CLOSE: (9), (13), (17), (20), (24), (30), (31), (32), (33), (34), (35),
% 244.47/48.53  | |            (36), (37), (39), (43) are inconsistent by sub-proof #1224.
% 244.47/48.53  | | 
% 244.47/48.53  | Case 2:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (44)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 244.47/48.53  | |           op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (44) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (45)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.47/48.53  | | | 
% 244.47/48.53  | | | ALPHA: (45) implies:
% 244.47/48.53  | | |   (46)  all_25_18 = e12
% 244.47/48.53  | | |   (47)  op1(e12, e10) = e12
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (11), (14), (15), (16),
% 244.47/48.53  | | |            (17), (19), (20), (22), (24), (25), (29), (41), (42), (46),
% 244.47/48.53  | | |            (47) are inconsistent by sub-proof #448.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (48)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 244.47/48.53  | | |           op1(e10, e10) = e12)
% 244.47/48.53  | | | 
% 244.47/48.53  | | | BETA: splitting (48) gives:
% 244.47/48.53  | | | 
% 244.47/48.53  | | | Case 1:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (49)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | ALPHA: (49) implies:
% 244.47/48.53  | | | |   (50)  all_25_19 = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.47/48.53  | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 244.47/48.53  | | | |            (27), (28), (38), (41), (42), (50) are inconsistent by
% 244.47/48.53  | | | |            sub-proof #435.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | Case 2:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (51)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (17), (19),
% 244.47/48.53  | | | |            (20), (22), (24), (25), (26), (28), (38), (41), (51) are
% 244.47/48.53  | | | |            inconsistent by sub-proof #1261.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | End of split
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | End of split
% 244.47/48.53  | 
% 244.47/48.53  End of proof
% 244.47/48.53  
% 244.47/48.53  Sub-proof #435 shows that the following formulas are inconsistent:
% 244.47/48.53  ----------------------------------------------------------------
% 244.47/48.53    (1)   ~ (e14 = e10)
% 244.47/48.53    (2)  all_25_2 = e12
% 244.47/48.53    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.53    (4)  all_25_19 = e12
% 244.47/48.53    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.47/48.53           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.47/48.53           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.47/48.53    (6)   ~ (e12 = e11)
% 244.47/48.53    (7)   ~ (e14 = e11)
% 244.47/48.53    (8)  all_25_3 = e11
% 244.47/48.53    (9)   ~ (e13 = e10)
% 244.47/48.53    (10)  op1(e11, e12) = all_14_13
% 244.47/48.53    (11)   ~ (e14 = e13)
% 244.47/48.53    (12)  all_25_13 = e14
% 244.47/48.53    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.53    (14)  all_25_15 = e13
% 244.47/48.53    (15)   ~ (e13 = e11)
% 244.47/48.53    (16)  op1(e13, e12) = e10
% 244.47/48.53    (17)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.47/48.53              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.47/48.53            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.47/48.53    (18)   ~ (e11 = e10)
% 244.47/48.53    (19)   ~ (all_14_13 = e10)
% 244.47/48.53    (20)   ~ (e13 = e12)
% 244.47/48.53    (21)  op1(e13, e13) = e11
% 244.47/48.53    (22)   ~ (e12 = e10)
% 244.47/48.53    (23)  all_25_12 = e11
% 244.47/48.53    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.47/48.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.47/48.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.47/48.53    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.53    (26)   ~ (e14 = e12)
% 244.47/48.53    (27)  all_25_17 = e13
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | BETA: splitting (17) gives:
% 244.47/48.53  | 
% 244.47/48.53  | Case 1:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (28)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 244.47/48.53  | |           op1(e11, e13) = e10)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (28) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (29)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (18), (23), (29) are inconsistent by sub-proof #1124.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (30)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (1), (12), (30) are inconsistent by sub-proof #1159.
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | Case 2:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (31)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 244.47/48.53  | |           op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (31) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (32)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | ALPHA: (32) implies:
% 244.47/48.53  | | |   (33)  op1(e11, e12) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (10), (13), (19), (33) are inconsistent by sub-proof #1158.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (34)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 244.47/48.53  | | |           op1(e11, e10) = e10)
% 244.47/48.53  | | | 
% 244.47/48.53  | | | BETA: splitting (34) gives:
% 244.47/48.53  | | | 
% 244.47/48.53  | | | Case 1:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (35)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (11), (13), (14), (15), (16),
% 244.47/48.53  | | | |            (20), (21), (25), (26), (27), (35) are inconsistent by
% 244.47/48.53  | | | |            sub-proof #436.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | Case 2:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (36)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | ALPHA: (36) implies:
% 244.47/48.53  | | | |   (37)  all_25_19 = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (13), (15),
% 244.47/48.53  | | | |            (16), (18), (20), (21), (22), (24), (25), (26), (37) are
% 244.47/48.53  | | | |            inconsistent by sub-proof #1071.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | End of split
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | End of split
% 244.47/48.53  | 
% 244.47/48.53  End of proof
% 244.47/48.53  
% 244.47/48.53  Sub-proof #436 shows that the following formulas are inconsistent:
% 244.47/48.53  ----------------------------------------------------------------
% 244.47/48.53    (1)   ~ (e14 = e10)
% 244.47/48.53    (2)  all_25_2 = e12
% 244.47/48.53    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.53    (4)   ~ (e14 = e11)
% 244.47/48.53    (5)  all_25_3 = e11
% 244.47/48.53    (6)   ~ (e13 = e10)
% 244.47/48.53    (7)   ~ (e14 = e13)
% 244.47/48.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.53    (9)  all_25_15 = e13
% 244.47/48.53    (10)   ~ (e13 = e11)
% 244.47/48.53    (11)  op1(e13, e12) = e10
% 244.47/48.53    (12)   ~ (e13 = e12)
% 244.47/48.53    (13)  op1(e13, e13) = e11
% 244.47/48.53    (14)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.47/48.53    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.53    (16)   ~ (e14 = e12)
% 244.47/48.53    (17)  all_25_17 = e13
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | ALPHA: (14) implies:
% 244.47/48.53  |   (18)  all_25_15 = e10
% 244.47/48.53  | 
% 244.47/48.53  | COMBINE_EQS: (9), (18) imply:
% 244.47/48.53  |   (19)  e13 = e10
% 244.47/48.53  | 
% 244.47/48.53  | COMBINE_EQS: (17), (19) imply:
% 244.47/48.53  |   (20)  all_25_17 = e10
% 244.47/48.53  | 
% 244.47/48.53  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 244.47/48.53  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 244.47/48.53  | 
% 244.47/48.53  End of proof
% 244.47/48.53  
% 244.47/48.53  Sub-proof #437 shows that the following formulas are inconsistent:
% 244.47/48.53  ----------------------------------------------------------------
% 244.47/48.53    (1)  all_25_9 = e10
% 244.47/48.53    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.47/48.53             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.47/48.53           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.47/48.53    (3)   ~ (e14 = e10)
% 244.47/48.53    (4)  all_25_2 = e12
% 244.47/48.53    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.53    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.47/48.53           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.47/48.53           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.53    (7)  op1(e14, unit1) = e14
% 244.47/48.53    (8)  all_25_24 = e10
% 244.47/48.53    (9)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 244.47/48.53           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.47/48.53           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.53    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.47/48.53            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.47/48.53            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.47/48.53    (11)   ~ (e12 = e11)
% 244.47/48.53    (12)   ~ (e14 = e11)
% 244.47/48.53    (13)  all_25_3 = e11
% 244.47/48.53    (14)   ~ (e13 = e10)
% 244.47/48.53    (15)   ~ (e14 = e13)
% 244.47/48.53    (16)   ~ (all_14_15 = e12)
% 244.47/48.53    (17)  op1(e14, e11) = all_14_15
% 244.47/48.53    (18)  op1(e13, unit1) = e13
% 244.47/48.53    (19)  op1(e13, e11) = e14
% 244.47/48.53    (20)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.47/48.53              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.47/48.53            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.47/48.53    (21)  all_25_21 = e13
% 244.47/48.53    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.53    (23)  all_25_15 = e13
% 244.47/48.53    (24)   ~ (e13 = e11)
% 244.47/48.53    (25)  op1(e13, e12) = e10
% 244.47/48.53    (26)  op1(e12, unit1) = e12
% 244.47/48.53    (27)   ~ (e11 = e10)
% 244.47/48.53    (28)   ~ (e13 = e12)
% 244.47/48.53    (29)  op1(e13, e13) = e11
% 244.47/48.53    (30)   ~ (e12 = e10)
% 244.47/48.53    (31)  all_25_10 = e14
% 244.47/48.53    (32)   ~ (all_14_19 = e14)
% 244.47/48.53    (33)   ~ (all_14_14 = e13)
% 244.47/48.53    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.47/48.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.47/48.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.47/48.53    (35)  all_25_7 = e14
% 244.47/48.53    (36)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.47/48.53              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.47/48.53            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.47/48.53    (37)   ~ (all_14_19 = e13)
% 244.47/48.53    (38)  op1(e14, e10) = all_14_20
% 244.47/48.53    (39)   ~ (all_14_20 = e12)
% 244.47/48.53    (40)  op1(e10, unit1) = e10
% 244.47/48.53    (41)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.47/48.53    (42)  op1(unit1, e14) = e14
% 244.47/48.53    (43)  op1(e14, e12) = all_14_10
% 244.47/48.53    (44)   ~ (all_14_10 = e12)
% 244.47/48.53    (45)   ~ (all_14_19 = e10)
% 244.47/48.53    (46)  all_25_8 = e13
% 244.47/48.53    (47)  op1(unit1, e12) = e12
% 244.47/48.53    (48)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.47/48.53              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.47/48.53            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.47/48.53    (49)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.53    (50)  op1(e10, e11) = all_14_19
% 244.47/48.53    (51)  op1(e10, e12) = all_14_14
% 244.47/48.53    (52)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.47/48.53              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.47/48.53            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.53    (53)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 244.47/48.53            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 244.47/48.53            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.47/48.53    (54)  op1(e13, e14) = e12
% 244.47/48.53    (55)   ~ (e14 = e12)
% 244.47/48.53    (56)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 244.47/48.53            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 244.47/48.53            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.47/48.53    (57)  all_25_17 = e13
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | BETA: splitting (53) gives:
% 244.47/48.53  | 
% 244.47/48.53  | Case 1:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (58)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 244.47/48.53  | |             e13) = e10)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (58) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (59)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | ALPHA: (59) implies:
% 244.47/48.53  | | |   (60)  all_25_6 = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | BETA: splitting (2) gives:
% 244.47/48.53  | | | 
% 244.47/48.53  | | | Case 1:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (61)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 244.47/48.53  | | | |           op1(e10, e13) = e11)
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | BETA: splitting (61) gives:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | Case 1:
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | |   (62)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | ALPHA: (62) implies:
% 244.47/48.53  | | | | |   (63)  all_25_20 = e11
% 244.47/48.53  | | | | |   (64)  op1(e10, e14) = e11
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | REF_CLOSE: (3), (4), (5), (8), (11), (12), (13), (14), (15), (18),
% 244.47/48.53  | | | | |            (22), (24), (25), (28), (29), (32), (33), (36), (37), (40),
% 244.47/48.53  | | | | |            (41), (42), (45), (47), (48), (49), (50), (51), (54), (55),
% 244.47/48.53  | | | | |            (57), (63), (64) are inconsistent by sub-proof #947.
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | Case 2:
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | |   (65)  all_25_21 = e11 & op1(e10, e13) = e11
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | REF_CLOSE: (21), (24), (65) are inconsistent by sub-proof #451.
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | End of split
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | Case 2:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (66)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 244.47/48.53  | | | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | BETA: splitting (66) gives:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | Case 1:
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | |   (67)  all_25_22 = e11 & op1(e10, e12) = e11
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | REF_CLOSE: (11), (14), (18), (22), (25), (40), (41), (43), (44), (45),
% 244.47/48.53  | | | | |            (47), (50), (67) are inconsistent by sub-proof #1266.
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | Case 2:
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | |   (68)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 244.47/48.53  | | | | |           op1(e10, e10) = e11)
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | BETA: splitting (68) gives:
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | | Case 1:
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | |   (69)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | | ALPHA: (69) implies:
% 244.47/48.53  | | | | | |   (70)  all_25_23 = e11
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | | BETA: splitting (9) gives:
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | | Case 1:
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | |   (71)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12
% 244.47/48.53  | | | | | | |           & op1(e13, e11) = e12)
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | | REF_CLOSE: (16), (17), (19), (22), (55), (71) are inconsistent by
% 244.47/48.53  | | | | | | |            sub-proof #1223.
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | Case 2:
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | |   (72)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12
% 244.47/48.53  | | | | | | |           & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10,
% 244.47/48.53  | | | | | | |             e11) = e12)
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | | BETA: splitting (72) gives:
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | | Case 1:
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | |   (73)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | | ALPHA: (73) implies:
% 244.47/48.53  | | | | | | | |   (74)  all_25_11 = e12
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | | BETA: splitting (56) gives:
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | | Case 1:
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | |   (75)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 =
% 244.47/48.53  | | | | | | | | |           e11 & op1(e12, e13) = e11)
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | BETA: splitting (75) gives:
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | Case 1:
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | |   (76)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | | REF_CLOSE: (27), (60), (76) are inconsistent by sub-proof
% 244.47/48.53  | | | | | | | | | |            #1015.
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | Case 2:
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | |   (77)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | | REF_CLOSE: (12), (35), (77) are inconsistent by sub-proof
% 244.47/48.53  | | | | | | | | | |            #1151.
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | End of split
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | Case 2:
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | |   (78)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 244.47/48.53  | | | | | | | | |           e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 244.47/48.53  | | | | | | | | |           op1(e12, e10) = e11)
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | BETA: splitting (78) gives:
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | Case 1:
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | |   (79)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | | REF_CLOSE: (24), (46), (79) are inconsistent by sub-proof
% 244.47/48.53  | | | | | | | | | |            #444.
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | Case 2:
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | |   (80)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18
% 244.47/48.53  | | | | | | | | | |           = e11 & op1(e12, e10) = e11)
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | | REF_CLOSE: (11), (14), (18), (22), (25), (26), (28), (40),
% 244.47/48.53  | | | | | | | | | |            (41), (45), (50), (54), (74), (80) are
% 244.47/48.53  | | | | | | | | | |            inconsistent by sub-proof #455.
% 244.47/48.53  | | | | | | | | | | 
% 244.47/48.53  | | | | | | | | | End of split
% 244.47/48.53  | | | | | | | | | 
% 244.47/48.53  | | | | | | | | End of split
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | Case 2:
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | |   (81)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 =
% 244.47/48.53  | | | | | | | |           e12 & op1(e10, e11) = e12)
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | | REF_CLOSE: (11), (23), (28), (70), (81) are inconsistent by
% 244.47/48.53  | | | | | | | |            sub-proof #443.
% 244.47/48.53  | | | | | | | | 
% 244.47/48.53  | | | | | | | End of split
% 244.47/48.53  | | | | | | | 
% 244.47/48.53  | | | | | | End of split
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | Case 2:
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | |   (82)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | | REF_CLOSE: (8), (27), (82) are inconsistent by sub-proof #1259.
% 244.47/48.53  | | | | | | 
% 244.47/48.53  | | | | | End of split
% 244.47/48.53  | | | | | 
% 244.47/48.53  | | | | End of split
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | End of split
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (83)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (3), (35), (83) are inconsistent by sub-proof #982.
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | Case 2:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (84)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 & op1(e12,
% 244.47/48.53  | |             e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (84) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (85)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (3), (4), (5), (12), (13), (14), (15), (22), (24), (25), (28),
% 244.47/48.53  | | |            (29), (46), (49), (55), (57), (85) are inconsistent by
% 244.47/48.53  | | |            sub-proof #442.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (86)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 244.47/48.53  | | |           op1(e12, e10) = e10)
% 244.47/48.53  | | | 
% 244.47/48.53  | | | BETA: splitting (86) gives:
% 244.47/48.53  | | | 
% 244.47/48.53  | | | Case 1:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (87)  all_25_11 = e10 & op1(e12, e11) = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | ALPHA: (87) implies:
% 244.47/48.53  | | | |   (88)  all_25_11 = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (14), (15),
% 244.47/48.53  | | | |            (16), (17), (19), (22), (23), (24), (25), (27), (28), (29),
% 244.47/48.53  | | | |            (30), (31), (34), (49), (55), (88) are inconsistent by
% 244.47/48.53  | | | |            sub-proof #438.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | Case 2:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (89)  all_25_18 = e10 & op1(e12, e10) = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | ALPHA: (89) implies:
% 244.47/48.53  | | | |   (90)  all_25_18 = e10
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (11), (12), (14), (15), (18),
% 244.47/48.53  | | | |            (20), (22), (24), (25), (27), (28), (29), (30), (34), (38),
% 244.47/48.53  | | | |            (39), (40), (41), (43), (44), (45), (47), (49), (50), (52),
% 244.47/48.53  | | | |            (54), (55), (57), (90) are inconsistent by sub-proof #923.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | End of split
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | End of split
% 244.47/48.53  | 
% 244.47/48.53  End of proof
% 244.47/48.53  
% 244.47/48.53  Sub-proof #438 shows that the following formulas are inconsistent:
% 244.47/48.53  ----------------------------------------------------------------
% 244.47/48.53    (1)  all_25_9 = e10
% 244.47/48.53    (2)   ~ (e14 = e10)
% 244.47/48.53    (3)  all_25_2 = e12
% 244.47/48.53    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.53    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.47/48.53           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.47/48.53           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.53    (6)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 244.47/48.53           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.47/48.53           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.53    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.47/48.53           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.47/48.53           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.47/48.53    (8)   ~ (e12 = e11)
% 244.47/48.53    (9)   ~ (e14 = e11)
% 244.47/48.53    (10)   ~ (e13 = e10)
% 244.47/48.53    (11)   ~ (e14 = e13)
% 244.47/48.53    (12)   ~ (all_14_15 = e12)
% 244.47/48.53    (13)  op1(e14, e11) = all_14_15
% 244.47/48.53    (14)  op1(e13, e11) = e14
% 244.47/48.53    (15)  all_25_11 = e10
% 244.47/48.53    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.53    (17)  all_25_15 = e13
% 244.47/48.53    (18)   ~ (e13 = e11)
% 244.47/48.53    (19)  op1(e13, e12) = e10
% 244.47/48.53    (20)   ~ (e11 = e10)
% 244.47/48.53    (21)   ~ (e13 = e12)
% 244.47/48.53    (22)  op1(e13, e13) = e11
% 244.47/48.53    (23)   ~ (e12 = e10)
% 244.47/48.53    (24)  all_25_10 = e14
% 244.47/48.53    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.47/48.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.47/48.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.47/48.53    (26)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.53    (27)   ~ (e14 = e12)
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | BETA: splitting (6) gives:
% 244.47/48.53  | 
% 244.47/48.53  | Case 1:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (28)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.47/48.53  | |             e11) = e12)
% 244.47/48.53  | | 
% 244.47/48.53  | | REF_CLOSE: (12), (13), (14), (16), (27), (28) are inconsistent by sub-proof
% 244.47/48.53  | |            #1223.
% 244.47/48.53  | | 
% 244.47/48.53  | Case 2:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (29)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.47/48.53  | |           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (29) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (30)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (11), (15), (16), (18),
% 244.47/48.53  | | |            (19), (20), (21), (22), (23), (25), (26), (27), (30) are
% 244.47/48.53  | | |            inconsistent by sub-proof #943.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (31)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 244.47/48.53  | | |           op1(e10, e11) = e12)
% 244.47/48.53  | | | 
% 244.47/48.53  | | | BETA: splitting (31) gives:
% 244.47/48.53  | | | 
% 244.47/48.53  | | | Case 1:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (32)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (17), (21), (32) are inconsistent by sub-proof #1088.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | Case 2:
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | |   (33)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | ALPHA: (33) implies:
% 244.47/48.53  | | | |   (34)  all_25_23 = e12
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | | REF_CLOSE: (1), (5), (8), (9), (15), (17), (18), (20), (24), (34) are
% 244.47/48.53  | | | |            inconsistent by sub-proof #439.
% 244.47/48.53  | | | | 
% 244.47/48.53  | | | End of split
% 244.47/48.53  | | | 
% 244.47/48.53  | | End of split
% 244.47/48.53  | | 
% 244.47/48.53  | End of split
% 244.47/48.53  | 
% 244.47/48.53  End of proof
% 244.47/48.53  
% 244.47/48.53  Sub-proof #439 shows that the following formulas are inconsistent:
% 244.47/48.53  ----------------------------------------------------------------
% 244.47/48.53    (1)  all_25_9 = e10
% 244.47/48.53    (2)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.47/48.53           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.47/48.53           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.53    (3)   ~ (e12 = e11)
% 244.47/48.53    (4)   ~ (e14 = e11)
% 244.47/48.53    (5)  all_25_11 = e10
% 244.47/48.53    (6)  all_25_15 = e13
% 244.47/48.53    (7)   ~ (e13 = e11)
% 244.47/48.53    (8)   ~ (e11 = e10)
% 244.47/48.53    (9)  all_25_10 = e14
% 244.47/48.53    (10)  all_25_23 = e12
% 244.47/48.53  
% 244.47/48.53  Begin of proof
% 244.47/48.53  | 
% 244.47/48.53  | BETA: splitting (2) gives:
% 244.47/48.53  | 
% 244.47/48.53  | Case 1:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (11)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 244.47/48.53  | |             e11) = e11)
% 244.47/48.53  | | 
% 244.47/48.53  | | REF_CLOSE: (1), (4), (8), (9), (11) are inconsistent by sub-proof #983.
% 244.47/48.53  | | 
% 244.47/48.53  | Case 2:
% 244.47/48.53  | | 
% 244.47/48.53  | |   (12)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.47/48.53  | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.53  | | 
% 244.47/48.53  | | BETA: splitting (12) gives:
% 244.47/48.53  | | 
% 244.47/48.53  | | Case 1:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (13)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.47/48.53  | | | 
% 244.47/48.53  | | | REF_CLOSE: (5), (8), (13) are inconsistent by sub-proof #1112.
% 244.47/48.53  | | | 
% 244.47/48.53  | | Case 2:
% 244.47/48.53  | | | 
% 244.47/48.53  | | |   (14)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 244.47/48.53  | | |           op1(e10, e11) = e11)
% 244.47/48.53  | | | 
% 244.47/48.54  | | | REF_CLOSE: (3), (6), (7), (10), (14) are inconsistent by sub-proof #440.
% 244.47/48.54  | | | 
% 244.47/48.54  | | End of split
% 244.47/48.54  | | 
% 244.47/48.54  | End of split
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #440 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)   ~ (e12 = e11)
% 244.47/48.54    (2)  all_25_15 = e13
% 244.47/48.54    (3)   ~ (e13 = e11)
% 244.47/48.54    (4)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 244.47/48.54             e11) = e11)
% 244.47/48.54    (5)  all_25_23 = e12
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | BETA: splitting (4) gives:
% 244.47/48.54  | 
% 244.47/48.54  | Case 1:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (6)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.47/48.54  | | 
% 244.47/48.54  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #441.
% 244.47/48.54  | | 
% 244.47/48.54  | Case 2:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (7)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.47/48.54  | | 
% 244.47/48.54  | | ALPHA: (7) implies:
% 244.47/48.54  | |   (8)  all_25_23 = e11
% 244.47/48.54  | | 
% 244.47/48.54  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1262.
% 244.47/48.54  | | 
% 244.47/48.54  | End of split
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #441 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.47/48.54    (2)  all_25_15 = e13
% 244.47/48.54    (3)   ~ (e13 = e11)
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | ALPHA: (1) implies:
% 244.47/48.54  |   (4)  all_25_15 = e11
% 244.47/48.54  | 
% 244.47/48.54  | COMBINE_EQS: (2), (4) imply:
% 244.47/48.54  |   (5)  e13 = e11
% 244.47/48.54  | 
% 244.47/48.54  | REDUCE: (3), (5) imply:
% 244.47/48.54  |   (6)  $false
% 244.47/48.54  | 
% 244.47/48.54  | CLOSE: (6) is inconsistent.
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #442 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)   ~ (e14 = e10)
% 244.47/48.54    (2)  all_25_2 = e12
% 244.47/48.54    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.54           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.54           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.54    (4)   ~ (e14 = e11)
% 244.47/48.54    (5)  all_25_3 = e11
% 244.47/48.54    (6)   ~ (e13 = e10)
% 244.47/48.54    (7)   ~ (e14 = e13)
% 244.47/48.54    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.54    (9)   ~ (e13 = e11)
% 244.47/48.54    (10)  op1(e13, e12) = e10
% 244.47/48.54    (11)   ~ (e13 = e12)
% 244.47/48.54    (12)  op1(e13, e13) = e11
% 244.47/48.54    (13)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.47/48.54    (14)  all_25_8 = e13
% 244.47/48.54    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.54            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.54            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.54    (16)   ~ (e14 = e12)
% 244.47/48.54    (17)  all_25_17 = e13
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | ALPHA: (13) implies:
% 244.47/48.54  |   (18)  all_25_8 = e10
% 244.47/48.54  | 
% 244.47/48.54  | COMBINE_EQS: (14), (18) imply:
% 244.47/48.54  |   (19)  e13 = e10
% 244.47/48.54  | 
% 244.47/48.54  | SIMP: (19) implies:
% 244.47/48.54  |   (20)  e13 = e10
% 244.47/48.54  | 
% 244.47/48.54  | COMBINE_EQS: (17), (20) imply:
% 244.47/48.54  |   (21)  all_25_17 = e10
% 244.47/48.54  | 
% 244.47/48.54  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.47/48.54  |            (15), (16), (21) are inconsistent by sub-proof #1277.
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #443 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)   ~ (e12 = e11)
% 244.47/48.54    (2)  all_25_15 = e13
% 244.47/48.54    (3)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10,
% 244.47/48.54             e11) = e12)
% 244.47/48.54    (4)  all_25_23 = e11
% 244.47/48.54    (5)   ~ (e13 = e12)
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | BETA: splitting (3) gives:
% 244.47/48.54  | 
% 244.47/48.54  | Case 1:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (6)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.47/48.54  | | 
% 244.47/48.54  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #1088.
% 244.47/48.54  | | 
% 244.47/48.54  | Case 2:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (7)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.47/48.54  | | 
% 244.47/48.54  | | ALPHA: (7) implies:
% 244.47/48.54  | |   (8)  all_25_23 = e12
% 244.47/48.54  | | 
% 244.47/48.54  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1262.
% 244.47/48.54  | | 
% 244.47/48.54  | End of split
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #444 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.47/48.54    (2)  all_25_8 = e13
% 244.47/48.54    (3)   ~ (e13 = e11)
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | ALPHA: (1) implies:
% 244.47/48.54  |   (4)  all_25_8 = e11
% 244.47/48.54  | 
% 244.47/48.54  | COMBINE_EQS: (2), (4) imply:
% 244.47/48.54  |   (5)  e13 = e11
% 244.47/48.54  | 
% 244.47/48.54  | SIMP: (5) implies:
% 244.47/48.54  |   (6)  e13 = e11
% 244.47/48.54  | 
% 244.47/48.54  | REDUCE: (3), (6) imply:
% 244.47/48.54  |   (7)  $false
% 244.47/48.54  | 
% 244.47/48.54  | CLOSE: (7) is inconsistent.
% 244.47/48.54  | 
% 244.47/48.54  End of proof
% 244.47/48.54  
% 244.47/48.54  Sub-proof #445 shows that the following formulas are inconsistent:
% 244.47/48.54  ----------------------------------------------------------------
% 244.47/48.54    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 244.47/48.54             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 244.47/48.54           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.47/48.54    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.47/48.54             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.47/48.54           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.47/48.54    (3)  op1(e11, e10) = all_14_23
% 244.47/48.54    (4)  op1(e12, e13) = all_14_7
% 244.47/48.54    (5)   ~ (e14 = e10)
% 244.47/48.54    (6)  op1(e10, e13) = all_14_9
% 244.47/48.54    (7)  all_25_2 = e12
% 244.47/48.54    (8)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.47/48.54           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.47/48.54           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.47/48.54    (9)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.47/48.54           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.47/48.54           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.54    (10)  all_25_1 = e12
% 244.47/48.54    (11)  op1(e14, unit1) = e14
% 244.47/48.54    (12)  all_25_24 = e10
% 244.47/48.54    (13)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.47/48.54              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 244.47/48.54            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.54    (14)   ~ (all_14_8 = e12)
% 244.47/48.54    (15)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.47/48.54              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.47/48.54            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.47/48.54    (16)   ~ (all_14_2 = all_14_7)
% 244.47/48.54    (17)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.47/48.54            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.47/48.54            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.47/48.54    (18)   ~ (all_14_7 = e12)
% 244.47/48.54    (19)   ~ (all_14_7 = e11)
% 244.47/48.54    (20)   ~ (e12 = e11)
% 244.47/48.54    (21)   ~ (all_14_17 = all_14_19)
% 244.47/48.54    (22)   ~ (e14 = e11)
% 244.47/48.54    (23)  all_25_3 = e11
% 244.47/48.54    (24)  op1(e10, e13) = e13
% 244.47/48.54    (25)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.47/48.54            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.47/48.54            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.47/48.54    (26)   ~ (e13 = e10)
% 244.47/48.54    (27)  op1(e11, e12) = all_14_13
% 244.47/48.54    (28)   ~ (e14 = e13)
% 244.47/48.54    (29)   ~ (all_14_2 = all_14_17)
% 244.47/48.54    (30)   ~ (all_14_15 = e12)
% 244.47/48.54    (31)   ~ (all_14_17 = e14)
% 244.47/48.54    (32)  op1(e14, e11) = all_14_15
% 244.47/48.54    (33)  op1(e13, unit1) = e13
% 244.47/48.54    (34)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 244.47/48.54            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 244.47/48.54            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 244.47/48.54    (35)  op1(e13, e11) = e14
% 244.47/48.54    (36)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.47/48.54              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.47/48.54            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.47/48.54    (37)   ~ (all_14_23 = e13)
% 244.47/48.54    (38)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 244.47/48.54              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 244.47/48.54            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.47/48.54    (39)  all_25_21 = e13
% 244.47/48.54    (40)  op1(e11, e13) = all_14_8
% 244.47/48.54    (41)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.47/48.54              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.47/48.54            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.47/48.54    (42)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.47/48.54            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.47/48.54    (43)   ~ (e13 = e11)
% 244.47/48.54    (44)  op1(e13, e12) = e10
% 244.47/48.54    (45)   ~ (all_14_2 = e12)
% 244.47/48.54    (46)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 244.47/48.54              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 244.47/48.54            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.47/48.54    (47)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 244.47/48.54              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.47/48.54            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.54    (48)  op1(e12, e11) = all_14_17
% 244.47/48.54    (49)   ~ (all_14_18 = e14)
% 244.47/48.54    (50)  op1(e12, unit1) = e12
% 244.47/48.54    (51)   ~ (e11 = e10)
% 244.47/48.54    (52)   ~ (all_14_13 = e10)
% 244.47/48.54    (53)   ~ (all_14_3 = e13)
% 244.47/48.54    (54)  all_25_9 = e13
% 244.47/48.54    (55)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 244.47/48.54            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 244.47/48.54            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 244.47/48.54    (56)   ~ (all_14_13 = all_14_14)
% 244.47/48.54    (57)  op1(e12, e14) = all_14_2
% 244.47/48.54    (58)   ~ (e13 = e12)
% 244.47/48.54    (59)  op1(e13, e13) = e11
% 244.47/48.54    (60)  op1(e11, e14) = all_14_3
% 244.47/48.54    (61)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 244.47/48.54              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 244.47/48.54            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 244.47/48.54    (62)   ~ (e12 = e10)
% 244.47/48.54    (63)  all_25_10 = e14
% 244.47/48.54    (64)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 244.47/48.54            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 244.47/48.54            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.47/48.54    (65)   ~ (all_14_9 = e12)
% 244.47/48.54    (66)   ~ (all_14_19 = e14)
% 244.47/48.54    (67)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13, e14)
% 244.47/48.54            = e13) | (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12 = e13 &
% 244.47/48.54            op1(e11, e14) = e13) | (all_25_20 = e13 & op1(e10, e14) = e13)
% 244.47/48.54    (68)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.47/48.54            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.47/48.54            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.47/48.54    (69)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.47/48.54            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.47/48.54            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.47/48.54    (70)  all_25_0 = e10
% 244.47/48.54    (71)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.47/48.54              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.47/48.54            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.47/48.54    (72)   ~ (all_14_15 = e14)
% 244.47/48.54    (73)   ~ (all_14_19 = e13)
% 244.47/48.54    (74)  op1(e14, e10) = all_14_20
% 244.47/48.54    (75)   ~ (all_14_20 = e12)
% 244.47/48.54    (76)  op1(e10, unit1) = e10
% 244.47/48.54    (77)   ~ (all_14_8 = e11)
% 244.47/48.54    (78)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.47/48.54    (79)  op1(unit1, e14) = e14
% 244.47/48.54    (80)  op1(e14, e12) = all_14_10
% 244.47/48.54    (81)   ~ (all_14_10 = e12)
% 244.47/48.54    (82)  op1(e11, e11) = all_14_18
% 244.47/48.54    (83)   ~ (all_14_19 = e10)
% 244.47/48.54    (84)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.47/48.54            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.47/48.54            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.47/48.54    (85)  op1(unit1, e12) = e12
% 244.47/48.54    (86)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.47/48.54              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.47/48.54            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.47/48.54    (87)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.54            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.47/48.54            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.47/48.54    (88)  op1(e10, e11) = all_14_19
% 244.47/48.54    (89)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.47/48.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.47/48.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.47/48.54    (90)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 244.47/48.54            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 244.47/48.54            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.47/48.54    (91)  op1(e10, e12) = all_14_14
% 244.47/48.54    (92)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.47/48.54              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.47/48.54            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.54    (93)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 244.47/48.54            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 244.47/48.54            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 244.47/48.54    (94)  op1(e13, e14) = e12
% 244.47/48.54    (95)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 244.47/48.54            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 244.47/48.54            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 244.47/48.54    (96)   ~ (e14 = e12)
% 244.47/48.54    (97)   ~ (all_14_18 = e13)
% 244.47/48.54    (98)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 244.47/48.54            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 = e12 &
% 244.47/48.54            op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.47/48.54    (99)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 244.47/48.54            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 244.47/48.54            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.47/48.54    (100)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 244.47/48.54               e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 244.47/48.54             e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.47/48.54    (101)  all_25_17 = e13
% 244.47/48.54  
% 244.47/48.54  Begin of proof
% 244.47/48.54  | 
% 244.47/48.54  | BETA: splitting (67) gives:
% 244.47/48.54  | 
% 244.47/48.54  | Case 1:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (102)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13,
% 244.47/48.54  | |              e14) = e13)
% 244.47/48.54  | | 
% 244.47/48.54  | | REF_CLOSE: (5), (7), (8), (22), (23), (26), (28), (42), (43), (44), (58),
% 244.47/48.54  | |            (59), (70), (87), (94), (96), (101), (102) are inconsistent by
% 244.47/48.54  | |            sub-proof #480.
% 244.47/48.54  | | 
% 244.47/48.54  | Case 2:
% 244.47/48.54  | | 
% 244.47/48.54  | |   (103)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12 = e13 &
% 244.47/48.54  | |            op1(e11, e14) = e13) | (all_25_20 = e13 & op1(e10, e14) = e13)
% 244.47/48.54  | | 
% 244.47/48.54  | | BETA: splitting (103) gives:
% 244.47/48.54  | | 
% 244.47/48.54  | | Case 1:
% 244.47/48.54  | | | 
% 244.47/48.54  | | |   (104)  all_25_6 = e13 & op1(e12, e14) = e13
% 244.47/48.54  | | | 
% 244.47/48.54  | | | ALPHA: (104) implies:
% 244.47/48.54  | | |   (105)  all_25_6 = e13
% 244.47/48.54  | | |   (106)  op1(e12, e14) = e13
% 244.47/48.54  | | | 
% 244.47/48.54  | | | BETA: splitting (61) gives:
% 244.47/48.54  | | | 
% 244.47/48.54  | | | Case 1:
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | |   (107)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 &
% 244.47/48.54  | | | |            op1(e11, e13) = e13)
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (23), (24), (26),
% 244.47/48.54  | | | |            (28), (39), (42), (43), (44), (51), (53), (58), (59), (60),
% 244.47/48.54  | | | |            (62), (69), (84), (87), (89), (96), (101), (107) are
% 244.47/48.54  | | | |            inconsistent by sub-proof #479.
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | Case 2:
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | |   (108)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 = e13 &
% 244.47/48.54  | | | |            op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) =
% 244.47/48.54  | | | |            e13)
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | | BETA: splitting (108) gives:
% 244.47/48.54  | | | | 
% 244.47/48.54  | | | | Case 1:
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | |   (109)  all_25_14 = e13 & op1(e11, e12) = e13
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | ALPHA: (109) implies:
% 244.47/48.54  | | | | |   (110)  all_25_14 = e13
% 244.47/48.54  | | | | |   (111)  op1(e11, e12) = e13
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | GROUND_INST: instantiating (42) with all_14_13, e13, e12, e11,
% 244.47/48.54  | | | | |              simplifying with (27), (111) gives:
% 244.47/48.54  | | | | |   (112)  all_14_13 = e13
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | GROUND_INST: instantiating (42) with all_14_2, e13, e14, e12,
% 244.47/48.54  | | | | |              simplifying with (57), (106) gives:
% 244.47/48.54  | | | | |   (113)  all_14_2 = e13
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | REDUCE: (16), (113) imply:
% 244.47/48.54  | | | | |   (114)   ~ (all_14_7 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | SIMP: (114) implies:
% 244.47/48.54  | | | | |   (115)   ~ (all_14_7 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | REDUCE: (29), (113) imply:
% 244.47/48.54  | | | | |   (116)   ~ (all_14_17 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | SIMP: (116) implies:
% 244.47/48.54  | | | | |   (117)   ~ (all_14_17 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | REDUCE: (56), (112) imply:
% 244.47/48.54  | | | | |   (118)   ~ (all_14_14 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | SIMP: (118) implies:
% 244.47/48.54  | | | | |   (119)   ~ (all_14_14 = e13)
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | BETA: splitting (89) gives:
% 244.47/48.54  | | | | | 
% 244.47/48.54  | | | | | Case 1:
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | |   (120)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 &
% 244.47/48.54  | | | | | |            op1(e13, e13) = e14)
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | | BETA: splitting (120) gives:
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | | Case 1:
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | |   (121)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | | REF_CLOSE: (10), (96), (121) are inconsistent by sub-proof #1292.
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | Case 2:
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | |   (122)  all_25_3 = e14 & op1(e13, e13) = e14
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | | REF_CLOSE: (22), (23), (122) are inconsistent by sub-proof #1291.
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | End of split
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | Case 2:
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | |   (123)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.47/48.54  | | | | | |            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) =
% 244.47/48.54  | | | | | |            e14)
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | | BETA: splitting (123) gives:
% 244.47/48.54  | | | | | | 
% 244.47/48.54  | | | | | | Case 1:
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | |   (124)  all_25_7 = e14 & op1(e12, e13) = e14
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | | ALPHA: (124) implies:
% 244.47/48.54  | | | | | | |   (125)  all_25_7 = e14
% 244.47/48.54  | | | | | | |   (126)  op1(e12, e13) = e14
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | | BETA: splitting (93) gives:
% 244.47/48.54  | | | | | | | 
% 244.47/48.54  | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | |   (127)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 =
% 244.47/48.54  | | | | | | | |            e10 & op1(e12, e13) = e10)
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | | BETA: splitting (127) gives:
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | |   (128)  all_25_6 = e10 & op1(e12, e14) = e10
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | REF_CLOSE: (5), (7), (8), (22), (23), (26), (28), (42), (43),
% 244.47/48.54  | | | | | | | | |            (44), (58), (59), (87), (96), (101), (105), (128)
% 244.47/48.54  | | | | | | | | |            are inconsistent by sub-proof #1180.
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | |   (129)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | ALPHA: (129) implies:
% 244.47/48.54  | | | | | | | | |   (130)  all_25_7 = e10
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | REF_CLOSE: (5), (125), (130) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | |            #1251.
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | |   (131)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 =
% 244.47/48.54  | | | | | | | |            e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 244.47/48.54  | | | | | | | |            op1(e12, e10) = e10)
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | | BETA: splitting (131) gives:
% 244.47/48.54  | | | | | | | | 
% 244.47/48.54  | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | |   (132)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | ALPHA: (132) implies:
% 244.47/48.54  | | | | | | | | |   (133)  all_25_8 = e10
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | BETA: splitting (64) gives:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | |   (134)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 244.47/48.54  | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | REF_CLOSE: (42), (44), (62), (80), (81), (134) are
% 244.47/48.54  | | | | | | | | | |            inconsistent by sub-proof #1081.
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | |   (135)  (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14
% 244.47/48.54  | | | | | | | | | |            = e12 & op1(e11, e12) = e12) | (all_25_22 = e12 &
% 244.47/48.54  | | | | | | | | | |            op1(e10, e12) = e12)
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | BETA: splitting (135) gives:
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | |   (136)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | ALPHA: (136) implies:
% 244.47/48.54  | | | | | | | | | | |   (137)  all_25_8 = e12
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (17), (20), (22), (26), (28), (42),
% 244.47/48.54  | | | | | | | | | | |            (43), (44), (51), (58), (59), (62), (69), (87),
% 244.47/48.54  | | | | | | | | | | |            (96), (133), (137) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | |            #1067.
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | |   (138)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.47/48.54  | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | BETA: splitting (138) gives:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | |   (139)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | REF_CLOSE: (58), (110), (139) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | |            #478.
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | |   (140)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | ALPHA: (140) implies:
% 244.47/48.54  | | | | | | | | | | | |   (141)  all_25_22 = e12
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | BETA: splitting (71) gives:
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | |   (142)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.47/48.54  | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | BETA: splitting (142) gives:
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | |   (143)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | ALPHA: (143) implies:
% 244.47/48.54  | | | | | | | | | | | | | |   (144)  all_25_20 = e14
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | |   (145)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.47/48.54  | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | |   (146)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (147)  all_25_4 = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (148)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 244.47/48.54  | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e12) = e11)
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | |   (149)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (147), (149) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | | | | | |            #921.
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | |   (150)  all_25_5 = e11 & op1(e13, e12) = e11
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (44), (51), (150) are inconsistent by
% 244.47/48.54  | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (151)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 244.47/48.54  | | | | | | | | | | | | | | | | |          (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.47/48.54  | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | |   (152)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (133), (152) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | | | | | |            #1150.
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | |   (153)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.47/48.54  | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | |   (154)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (110), (154) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | | | | | | |            #477.
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | |   (155)  all_25_22 = e11 & op1(e10, e12) = e11
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (26), (33), (42), (44), (76), (78), (80),
% 244.47/48.54  | | | | | | | | | | | | | | | | | | |            (81), (83), (85), (88), (155) are inconsistent by
% 244.47/48.54  | | | | | | | | | | | | | | | | | | |            sub-proof #1266.
% 244.47/48.54  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | |   (156)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (157)  op1(e13, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (42), (44), (157) are inconsistent by
% 244.47/48.54  | | | | | | | | | | | | | | | |            sub-proof #1286.
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | |   (158)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.47/48.54  | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.47/48.54  | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | |   (159)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (160)  all_25_8 = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (160) imply:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (161)  e14 = e10
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | SIMP: (161) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (162)  e14 = e10
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (162) imply:
% 244.47/48.54  | | | | | | | | | | | | | | | |   (163)  all_25_20 = e10
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (24), (28), (42), (66), (71), (88),
% 244.47/48.54  | | | | | | | | | | | | | | | |            (96), (141), (163) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | | | |            #1205.
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | |   (164)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.47/48.54  | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (165)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (166)  all_25_14 = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (166) imply:
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (167)  e14 = e13
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (168)  e14 = e13
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (168) imply:
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (169)  all_25_7 = e13
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (23), (24),
% 244.47/48.54  | | | | | | | | | | | | | | | | |            (26), (28), (39), (42), (43), (44), (51), (58),
% 244.47/48.54  | | | | | | | | | | | | | | | | |            (59), (62), (69), (84), (87), (89), (96), (101),
% 244.47/48.54  | | | | | | | | | | | | | | | | |            (169) are inconsistent by sub-proof #1255.
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | |   (170)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (141), (170) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | | | | |            #476.
% 244.47/48.54  | | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | |   (171)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (23), (26),
% 244.47/48.54  | | | | | | | | | | | | | |            (28), (34), (35), (42), (43), (44), (51), (55),
% 244.47/48.54  | | | | | | | | | | | | | |            (58), (59), (62), (68), (69), (73), (86), (87),
% 244.47/48.54  | | | | | | | | | | | | | |            (88), (91), (96), (101), (105), (119), (171) are
% 244.47/48.54  | | | | | | | | | | | | | |            inconsistent by sub-proof #1175.
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | |   (172)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.47/48.54  | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.47/48.54  | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | BETA: splitting (172) gives:
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | |   (173)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | REF_CLOSE: (96), (141), (173) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | | | | |            #476.
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | |   (174)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.47/48.54  | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (42), (66), (88), (174) are
% 244.47/48.54  | | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 244.47/48.54  | | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | End of split
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | |   (175)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18
% 244.47/48.54  | | | | | | | | |            = e10 & op1(e12, e10) = e10)
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | BETA: splitting (175) gives:
% 244.47/48.54  | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | |   (176)  all_25_11 = e10 & op1(e12, e11) = e10
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | ALPHA: (176) implies:
% 244.47/48.54  | | | | | | | | | |   (177)  all_25_11 = e10
% 244.47/48.54  | | | | | | | | | |   (178)  op1(e12, e11) = e10
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | BETA: splitting (84) gives:
% 244.47/48.54  | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | |   (179)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 244.47/48.54  | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (26), (28),
% 244.47/48.54  | | | | | | | | | | |            (42), (43), (44), (51), (58), (59), (62), (69),
% 244.47/48.54  | | | | | | | | | | |            (87), (96), (179) are inconsistent by sub-proof
% 244.47/48.54  | | | | | | | | | | |            #1279.
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | Case 2:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | |   (180)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 244.47/48.54  | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.47/48.54  | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | BETA: splitting (180) gives:
% 244.47/48.54  | | | | | | | | | | | 
% 244.47/48.54  | | | | | | | | | | | Case 1:
% 244.47/48.54  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | |   (181)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | ALPHA: (181) implies:
% 244.47/48.55  | | | | | | | | | | | |   (182)  all_25_7 = e10
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | REF_CLOSE: (5), (125), (182) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | |            #1251.
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | |   (183)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.47/48.55  | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | BETA: splitting (183) gives:
% 244.47/48.55  | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | |   (184)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | ALPHA: (184) implies:
% 244.47/48.55  | | | | | | | | | | | | |   (185)  all_25_13 = e10
% 244.47/48.55  | | | | | | | | | | | | |   (186)  op1(e11, e13) = e10
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_8, e10, e13, e11,
% 244.47/48.55  | | | | | | | | | | | | |              simplifying with (40), (186) gives:
% 244.47/48.55  | | | | | | | | | | | | |   (187)  all_14_8 = e10
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_17, e10, e11, e12,
% 244.47/48.55  | | | | | | | | | | | | |              simplifying with (48), (178) gives:
% 244.47/48.55  | | | | | | | | | | | | |   (188)  all_14_17 = e10
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_14_7, e14, e13, e12,
% 244.47/48.55  | | | | | | | | | | | | |              simplifying with (4), (126) gives:
% 244.47/48.55  | | | | | | | | | | | | |   (189)  all_14_7 = e14
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | REDUCE: (14), (187) imply:
% 244.47/48.55  | | | | | | | | | | | | |   (190)   ~ (e12 = e10)
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | REDUCE: (77), (187) imply:
% 244.47/48.55  | | | | | | | | | | | | |   (191)   ~ (e11 = e10)
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | REDUCE: (21), (188) imply:
% 244.47/48.55  | | | | | | | | | | | | |   (192)   ~ (all_14_19 = e10)
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | REDUCE: (31), (188) imply:
% 244.47/48.55  | | | | | | | | | | | | |   (193)   ~ (e14 = e10)
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | REDUCE: (117), (188) imply:
% 244.47/48.55  | | | | | | | | | | | | |   (194)   ~ (e13 = e10)
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | BETA: splitting (9) gives:
% 244.47/48.55  | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | |   (195)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.47/48.55  | | | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | |   (196)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (196) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | |            #475.
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | |   (197)  all_25_10 = e11 & op1(e13, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (23), (24), (28), (42), (63),
% 244.47/48.55  | | | | | | | | | | | | | | |            (89), (96), (125), (185), (197) are inconsistent
% 244.47/48.55  | | | | | | | | | | | | | | |            by sub-proof #474.
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | |   (198)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.47/48.55  | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.47/48.55  | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 244.47/48.55  | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | |   (199)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | REF_CLOSE: (51), (177), (199) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | |            #1112.
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | |   (200)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.47/48.55  | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | |   (201)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | |   (202)  all_25_15 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (10), (12), (15), (17), (20),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (22), (23), (24), (26), (28), (33), (39), (42),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (43), (44), (49), (51), (58), (59), (62), (66),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (68), (69), (70), (71), (73), (76), (78), (79),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (86), (87), (88), (89),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (91), (94), (96), (101), (105), (110), (119),
% 244.47/48.55  | | | | | | | | | | | | | | | |            (125), (185), (202) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | |            #467.
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | |   (203)  all_25_23 = e11 & op1(e10, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | |   (204)  all_25_23 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | |   (205)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | |   (206)  all_25_20 = e12 & op1(e10, e14) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | |   (207)  all_25_20 = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (12), (20), (22), (23), (24),
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            (26), (28), (33), (35), (42), (43), (44), (51),
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            (55), (58), (59), (62), (66), (68), (69), (70),
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            (71), (73), (76), (78), (79), (83), (85), (86),
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            (87), (88), (89), (91), (94), (96), (101), (105),
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            (119), (125), (185), (207) are inconsistent by
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            sub-proof #465.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | |   (208)  all_25_21 = e12 & op1(e10, e13) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (42), (65), (208) are inconsistent by
% 244.47/48.55  | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | |   (209)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | |   (210)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | |   (211)  all_25_22 = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | |   (212)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | |   (213)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | |   (214)  all_25_20 = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | |   (215)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (216)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (217)  all_25_4 = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e12 & op1(e13, e11) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (35), (42), (96), (218) are
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (17), (20), (22), (26), (28), (42),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (51), (58), (59), (62), (69), (87),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            (96), (177), (220) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            #943.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_25_15 = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (70), (225) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1222.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_25_1 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (227) imply:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  e12 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (228) imply:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_25_15 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (10), (12), (15), (17), (20),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (23), (24), (26), (28), (33), (39), (42),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (49), (51), (58), (59), (62), (66),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (70), (71), (73), (76), (78), (79),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (86), (87), (88), (89),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (101), (105), (110), (119),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (125), (185), (229) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #467.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (23), (24), (28), (42), (89),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (125), (185), (217), (231) are inconsistent
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #464.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (233) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #967.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (26), (33), (42), (44), (58), (76),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (83), (88), (94), (234) are inconsistent by
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #941.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_25_23 = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (204), (236) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (237)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (238)  op1(e13, e12) = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (42), (44), (238) are inconsistent by
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | |   (239)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (240)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | |   (241)  all_25_8 = e14
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e12, e13) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (42), (58), (105), (242) are
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e12 & op1(e12, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_25_8 = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (22), (26), (28), (33), (42), (43),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            (44), (51), (76), (78), (80), (81), (83), (85),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            (88), (90), (96), (99), (110), (211), (245) are
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #460.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (17), (20), (22), (26), (28), (42),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (51), (58), (59), (62), (69), (87),
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (177), (247) are inconsistent by sub-proof
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #943.
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.47/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  op1(e12, e10) = e12
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (20), (22), (23), (24), (28), (42),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (51), (89), (96), (100), (105), (125),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (177), (185), (241), (249) are inconsistent by
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #458.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |   (250)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (23), (24), (28), (42), (89),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (96), (110), (125), (185), (251) are inconsistent
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #469.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (252) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_25_22 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (253) imply:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (254)  e14 = e12
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (254) imply:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_25_20 = e12
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (12), (20), (22), (23), (24),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (26), (28), (33), (35), (42), (43), (44), (51),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (55), (58), (59), (62), (66), (68), (69), (70),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (71), (73), (76), (78), (79), (83), (85), (86),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (91), (94), (96), (101), (105),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (119), (125), (185), (255) are inconsistent by
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #465.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (256)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (23), (26),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            (28), (34), (35), (42), (43), (44), (51), (55),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            (58), (59), (62), (68), (69), (73), (86), (87),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            (88), (91), (96), (101), (105), (119), (256) are
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1175.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |   (257)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (258)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (211), (258) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            #476.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (259)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (42), (66), (88), (259) are
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1207.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | |   (260)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |   (261)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (204), (261) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |            #1035.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |   (262)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (26), (28),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |            (42), (43), (44), (51), (58), (59), (62), (69),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |            (87), (96), (262) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |            #1013.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | |   (263)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (22), (23), (26), (28), (39), (42),
% 244.49/48.55  | | | | | | | | | | | | |            (43), (44), (58), (59), (87), (96), (101), (263)
% 244.49/48.55  | | | | | | | | | | | | |            are inconsistent by sub-proof #1256.
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | |   (264)  all_25_18 = e10 & op1(e12, e10) = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | ALPHA: (264) implies:
% 244.49/48.55  | | | | | | | | | |   (265)  all_25_18 = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | REF_CLOSE: (5), (7), (8), (11), (12), (17), (20), (22), (26),
% 244.49/48.55  | | | | | | | | | |            (28), (33), (36), (42), (43), (44), (51), (58),
% 244.49/48.55  | | | | | | | | | |            (59), (62), (69), (74), (75), (76), (78), (80),
% 244.49/48.55  | | | | | | | | | |            (81), (83), (85), (87), (88), (92), (94), (96),
% 244.49/48.55  | | | | | | | | | |            (101), (265) are inconsistent by sub-proof #923.
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | 
% 244.49/48.55  | | | | | | | End of split
% 244.49/48.55  | | | | | | | 
% 244.49/48.55  | | | | | | Case 2:
% 244.49/48.55  | | | | | | | 
% 244.49/48.55  | | | | | | |   (266)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 =
% 244.49/48.55  | | | | | | |            e14 & op1(e10, e13) = e14)
% 244.49/48.55  | | | | | | | 
% 244.49/48.55  | | | | | | | BETA: splitting (266) gives:
% 244.49/48.55  | | | | | | | 
% 244.49/48.55  | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | 
% 244.49/48.55  | | | | | | | |   (267)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.49/48.55  | | | | | | | | 
% 244.49/48.55  | | | | | | | | ALPHA: (267) implies:
% 244.49/48.55  | | | | | | | |   (268)  all_25_13 = e14
% 244.49/48.55  | | | | | | | | 
% 244.49/48.55  | | | | | | | | BETA: splitting (46) gives:
% 244.49/48.55  | | | | | | | | 
% 244.49/48.55  | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | |   (269)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13
% 244.49/48.55  | | | | | | | | |            = e10 & op1(e11, e13) = e10)
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | BETA: splitting (269) gives:
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | |   (270)  all_25_12 = e10 & op1(e11, e14) = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | ALPHA: (270) implies:
% 244.49/48.55  | | | | | | | | | |   (271)  all_25_12 = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | BETA: splitting (68) gives:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | |   (272)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 244.49/48.55  | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | BETA: splitting (272) gives:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (273)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | REF_CLOSE: (51), (70), (273) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | |            #1222.
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (274)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | REF_CLOSE: (7), (20), (274) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | |            #1189.
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | |   (275)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 244.49/48.55  | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.49/48.55  | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | BETA: splitting (275) gives:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (276)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | REF_CLOSE: (43), (105), (276) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | |            #1188.
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (277)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.49/48.55  | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (20), (22), (23), (26), (28),
% 244.49/48.55  | | | | | | | | | | | |            (33), (42), (43), (44), (51), (58), (59), (66),
% 244.49/48.55  | | | | | | | | | | | |            (71), (73), (76), (78), (79), (83), (85), (86),
% 244.49/48.55  | | | | | | | | | | | |            (87), (88), (91), (94), (96), (101), (119), (271),
% 244.49/48.55  | | | | | | | | | | | |            (277) are inconsistent by sub-proof #457.
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | |   (278)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | REF_CLOSE: (5), (268), (278) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | |            #1159.
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | |   (279)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15
% 244.49/48.55  | | | | | | | | |            = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 244.49/48.55  | | | | | | | | |            op1(e11, e10) = e10)
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | BETA: splitting (279) gives:
% 244.49/48.55  | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | |   (280)  all_25_14 = e10 & op1(e11, e12) = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | ALPHA: (280) implies:
% 244.49/48.55  | | | | | | | | | |   (281)  op1(e11, e12) = e10
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | REF_CLOSE: (27), (42), (52), (281) are inconsistent by
% 244.49/48.55  | | | | | | | | | |            sub-proof #1158.
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | |   (282)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 244.49/48.55  | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | BETA: splitting (282) gives:
% 244.49/48.55  | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | |   (283)  all_25_15 = e10 & op1(e11, e11) = e10
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | ALPHA: (283) implies:
% 244.49/48.55  | | | | | | | | | | |   (284)  all_25_15 = e10
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | BETA: splitting (1) gives:
% 244.49/48.55  | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (285)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 244.49/48.55  | | | | | | | | | | | |          (all_25_13 = e12 & op1(e11, e13) = e12)
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | BETA: splitting (285) gives:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | |   (286)  all_25_12 = e12 & op1(e11, e14) = e12
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | ALPHA: (286) implies:
% 244.49/48.55  | | | | | | | | | | | | |   (287)  all_25_12 = e12
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (20), (22), (23), (26), (28),
% 244.49/48.55  | | | | | | | | | | | | |            (33), (42), (43), (44), (51), (58), (59), (66),
% 244.49/48.55  | | | | | | | | | | | | |            (68), (70), (71), (73), (76), (78), (79), (83),
% 244.49/48.55  | | | | | | | | | | | | |            (85), (86), (87), (88), (91), (94), (96), (101),
% 244.49/48.55  | | | | | | | | | | | | |            (105), (119), (287) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | |            #472.
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | |   (288)  all_25_13 = e12 & op1(e11, e13) = e12
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | ALPHA: (288) implies:
% 244.49/48.55  | | | | | | | | | | | | |   (289)  all_25_13 = e12
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (23), (24),
% 244.49/48.55  | | | | | | | | | | | | |            (26), (28), (39), (42), (43), (44), (51), (58),
% 244.49/48.55  | | | | | | | | | | | | |            (59), (62), (69), (84), (87), (89), (96), (101),
% 244.49/48.55  | | | | | | | | | | | | |            (289) are inconsistent by sub-proof #471.
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | |   (290)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.49/48.55  | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.49/48.55  | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | BETA: splitting (290) gives:
% 244.49/48.55  | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | |   (291)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | REF_CLOSE: (58), (110), (291) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | |            #478.
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | |   (292)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 244.49/48.55  | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | BETA: splitting (292) gives:
% 244.49/48.55  | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | |   (293)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (17), (20), (22), (26), (28), (42),
% 244.49/48.55  | | | | | | | | | | | | | |            (43), (44), (51), (58), (59), (62), (69), (87),
% 244.49/48.55  | | | | | | | | | | | | | |            (96), (284), (293) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | |            #1024.
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | |   (294)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | ALPHA: (294) implies:
% 244.49/48.55  | | | | | | | | | | | | | |   (295)  all_25_19 = e12
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 244.49/48.55  | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | |   (296)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 244.49/48.55  | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 244.49/48.55  | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | |   (297)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | |   (298)  all_25_12 = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | |   (299)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 244.49/48.55  | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (26), (28),
% 244.49/48.55  | | | | | | | | | | | | | | | | |            (42), (43), (44), (51), (58), (59), (62), (69),
% 244.49/48.55  | | | | | | | | | | | | | | | | |            (87), (96), (299) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | |            #1279.
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | |   (300)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 244.49/48.55  | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.49/48.55  | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | |   (301)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | ALPHA: (301) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | |   (302)  all_25_7 = e10
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |   (303)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (304)  all_25_0 = e14 & op1(e14, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (70), (304) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            #1220.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (305)  all_25_2 = e14 & op1(e13, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (26), (28), (35), (42), (43), (44),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            (58), (59), (62), (69), (96), (305) are
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |   (306)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (307)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (23), (24), (28), (42), (89),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            (96), (105), (268), (302), (307) are inconsistent
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1174.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |   (308)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (309)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (309) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (310)  all_25_12 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (310) imply:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (311)  e14 = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | SIMP: (311) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (312)  e14 = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (312) imply:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (313)  all_25_13 = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (23), (24), (28), (42), (89),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |            (96), (302), (313) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |            #1169.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (314)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | |   (315)  all_25_20 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |   (316)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_25_0 = e14 & op1(e14, e14) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (70), (317) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (96), (318) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_25_4 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (20), (22), (25), (26), (33), (42),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (51), (54), (58), (70), (76), (78),
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            (83), (88), (94), (321) are inconsistent by
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #456.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_25_9 = e14 & op1(e14, e11) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (42), (72), (323) are inconsistent by
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_25_16 = e14 & op1(e14, e10) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_25_16 = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | |   (326)  op1(e14, e10) = e14
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (70), (328) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1222.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (20), (329) are inconsistent by sub-proof
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_25_4 = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_25_4 = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (20), (22), (25), (26), (33), (42),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (43), (44), (51), (54), (58), (70), (76), (78),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (88), (94), (335) are inconsistent by
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #456.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  op1(e13, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (42), (44), (337) are inconsistent by
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1286.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_25_8 = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (44), (62), (80), (81), (341) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (343) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_25_8 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (340), (344) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #462.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (110), (346) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #478.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_25_22 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e12, e13) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (42), (58), (105), (349) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e12 & op1(e12, e11) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_25_8 = e12 & op1(e12, e12) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_25_8 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (22), (26), (28), (33), (42), (43),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (51), (76), (78), (80), (81), (83), (85),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (90), (96), (99), (110), (348), (352) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #460.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_25_11 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (357) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1188.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (302), (358) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1014.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_25_8 = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (340), (361) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1113.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (26), (33), (42), (44), (50), (58), (76),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (83), (88), (94), (355), (362) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_25_18 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  op1(e12, e10) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (20), (22), (26), (28), (35),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (41), (42), (43), (44), (51), (58), (59),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (101), (295), (364), (365) are inconsistent
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #454.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_25_14 = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (368) imply:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  e14 = e13
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (22), (28), (32), (42), (70), (72),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (96), (325), (332), (369) are inconsistent
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #452.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_25_22 = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  op1(e10, e12) = e14
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (42), (65), (96), (315), (373) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1073.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (371), (375) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_25_23 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (20), (26), (33), (39), (42), (43),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (51), (58), (76), (78), (79), (80), (81),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (85), (88), (94), (372), (378) are
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #450.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_25_24 = e12
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (380) imply:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  e12 = e10
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (381) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  e12 = e10
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (382) imply:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_25_19 = e10
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (26), (28),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (35), (36), (41), (42), (43), (44), (51),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (59), (62), (69), (74), (75), (76), (78),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (83), (85), (87), (88), (92), (96),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (383) are inconsistent by sub-proof #447.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (385) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #967.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  op1(e14, e10) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (326), (387) are inconsistent by
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #917.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | |   (388)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 244.49/48.56  | | | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | |   (389)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (268), (389) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | | | |            #1159.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | |   (390)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (22), (23), (26), (28), (39), (42),
% 244.49/48.56  | | | | | | | | | | | | | | | | | | |            (43), (44), (58), (59), (87), (96), (101), (390)
% 244.49/48.56  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #934.
% 244.49/48.56  | | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | |   (391)  all_25_13 = e11 & op1(e11, e13) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | ALPHA: (391) implies:
% 244.49/48.56  | | | | | | | | | | | | | | | |   (392)  all_25_13 = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (17), (20), (22), (23), (24),
% 244.49/48.56  | | | | | | | | | | | | | | | |            (26), (28), (39), (42), (43), (44), (51), (58),
% 244.49/48.56  | | | | | | | | | | | | | | | |            (59), (62), (69), (84), (87), (89), (96), (101),
% 244.49/48.56  | | | | | | | | | | | | | | | |            (392) are inconsistent by sub-proof #446.
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | |   (393)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | |   (394)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | REF_CLOSE: (43), (110), (394) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | |            #477.
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | |   (395)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 244.49/48.56  | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | |   (396)  all_25_15 = e11 & op1(e11, e11) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (284), (396) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | |            #1017.
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | |   (397)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (295), (397) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | | | | | | | | | |            #1084.
% 244.49/48.56  | | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | |   (398)  all_25_19 = e10 & op1(e11, e10) = e10
% 244.49/48.56  | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | ALPHA: (398) implies:
% 244.49/48.56  | | | | | | | | | | |   (399)  all_25_19 = e10
% 244.49/48.56  | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (26), (28),
% 244.49/48.56  | | | | | | | | | | |            (33), (35), (36), (41), (42), (43), (44), (51),
% 244.49/48.56  | | | | | | | | | | |            (58), (59), (62), (69), (74), (75), (76), (78),
% 244.49/48.56  | | | | | | | | | | |            (80), (81), (83), (85), (87), (88), (92), (96),
% 244.49/48.56  | | | | | | | | | | |            (101), (399) are inconsistent by sub-proof #447.
% 244.49/48.56  | | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | |   (400)  all_25_21 = e14 & op1(e10, e13) = e14
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (23), (26),
% 244.49/48.56  | | | | | | | |            (28), (34), (35), (42), (43), (44), (51), (55), (58),
% 244.49/48.56  | | | | | | | |            (59), (62), (68), (69), (73), (86), (87), (88), (91),
% 244.49/48.56  | | | | | | | |            (96), (101), (105), (119), (400) are inconsistent by
% 244.49/48.56  | | | | | | | |            sub-proof #1175.
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | End of split
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | End of split
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | End of split
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | Case 2:
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | |   (401)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_19 = e13 &
% 244.49/48.56  | | | | |            op1(e11, e10) = e13)
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | | BETA: splitting (401) gives:
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | | Case 1:
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | |   (402)  all_25_15 = e13 & op1(e11, e11) = e13
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | REF_CLOSE: (42), (82), (97), (402) are inconsistent by sub-proof
% 244.49/48.56  | | | | | |            #970.
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | Case 2:
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | |   (403)  all_25_19 = e13 & op1(e11, e10) = e13
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | REF_CLOSE: (3), (37), (42), (403) are inconsistent by sub-proof
% 244.49/48.56  | | | | | |            #951.
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | End of split
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | End of split
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | End of split
% 244.49/48.56  | | | 
% 244.49/48.56  | | Case 2:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (404)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_20 = e13 &
% 244.49/48.56  | | |            op1(e10, e14) = e13)
% 244.49/48.56  | | | 
% 244.49/48.56  | | | BETA: splitting (404) gives:
% 244.49/48.56  | | | 
% 244.49/48.56  | | | Case 1:
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | |   (405)  all_25_12 = e13 & op1(e11, e14) = e13
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | REF_CLOSE: (42), (53), (60), (405) are inconsistent by sub-proof #1033.
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | Case 2:
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | |   (406)  all_25_20 = e13 & op1(e10, e14) = e13
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | ALPHA: (406) implies:
% 244.49/48.56  | | | |   (407)  all_25_20 = e13
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | BETA: splitting (71) gives:
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | Case 1:
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | |   (408)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 244.49/48.56  | | | | |            op1(e10, e13) = e14)
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | | REF_CLOSE: (24), (28), (42), (407), (408) are inconsistent by
% 244.49/48.56  | | | | |            sub-proof #1031.
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | Case 2:
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | |   (409)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 244.49/48.56  | | | | |            op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) =
% 244.49/48.56  | | | | |            e14)
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | | BETA: splitting (409) gives:
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | | Case 1:
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | |   (410)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | ALPHA: (410) implies:
% 244.49/48.56  | | | | | |   (411)  all_25_22 = e14
% 244.49/48.56  | | | | | |   (412)  op1(e10, e12) = e14
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | BETA: splitting (47) gives:
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | Case 1:
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | |   (413)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 =
% 244.49/48.56  | | | | | | |            e12 & op1(e10, e13) = e12)
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | | REF_CLOSE: (6), (42), (58), (65), (407), (413) are inconsistent by
% 244.49/48.56  | | | | | | |            sub-proof #1264.
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | Case 2:
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | |   (414)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 244.49/48.56  | | | | | | |            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 244.49/48.56  | | | | | | |            op1(e10, e10) = e12)
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | | BETA: splitting (414) gives:
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | |   (415)  all_25_22 = e12 & op1(e10, e12) = e12
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | | REF_CLOSE: (96), (411), (415) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | |            #1263.
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | |   (416)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 =
% 244.49/48.56  | | | | | | | |            e12 & op1(e10, e10) = e12)
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | | BETA: splitting (416) gives:
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | | Case 1:
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | |   (417)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | ALPHA: (417) implies:
% 244.49/48.56  | | | | | | | | |   (418)  all_25_23 = e12
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | REF_CLOSE: (2), (12), (20), (26), (33), (39), (42), (43),
% 244.49/48.56  | | | | | | | | |            (44), (51), (58), (76), (78), (79), (80), (81),
% 244.49/48.56  | | | | | | | | |            (83), (85), (88), (94), (412), (418) are
% 244.49/48.56  | | | | | | | | |            inconsistent by sub-proof #450.
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | Case 2:
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | |   (419)  all_25_24 = e12 & op1(e10, e10) = e12
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | | REF_CLOSE: (5), (7), (8), (12), (17), (20), (22), (26), (28),
% 244.49/48.56  | | | | | | | | |            (42), (43), (44), (51), (58), (59), (62), (69),
% 244.49/48.56  | | | | | | | | |            (87), (96), (419) are inconsistent by sub-proof
% 244.49/48.56  | | | | | | | | |            #1261.
% 244.49/48.56  | | | | | | | | | 
% 244.49/48.56  | | | | | | | | End of split
% 244.49/48.56  | | | | | | | | 
% 244.49/48.56  | | | | | | | End of split
% 244.49/48.56  | | | | | | | 
% 244.49/48.56  | | | | | | End of split
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | Case 2:
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | |   (420)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14
% 244.49/48.56  | | | | | |            & op1(e10, e10) = e14)
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | | REF_CLOSE: (5), (12), (42), (66), (88), (420) are inconsistent by
% 244.49/48.56  | | | | | |            sub-proof #1207.
% 244.49/48.56  | | | | | | 
% 244.49/48.56  | | | | | End of split
% 244.49/48.56  | | | | | 
% 244.49/48.56  | | | | End of split
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | End of split
% 244.49/48.56  | | | 
% 244.49/48.56  | | End of split
% 244.49/48.56  | | 
% 244.49/48.56  | End of split
% 244.49/48.56  | 
% 244.49/48.56  End of proof
% 244.49/48.56  
% 244.49/48.56  Sub-proof #446 shows that the following formulas are inconsistent:
% 244.49/48.56  ----------------------------------------------------------------
% 244.49/48.56    (1)   ~ (e14 = e10)
% 244.49/48.56    (2)  all_25_2 = e12
% 244.49/48.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.56    (4)  all_25_1 = e12
% 244.49/48.56    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.56    (6)   ~ (e12 = e11)
% 244.49/48.56    (7)   ~ (e14 = e11)
% 244.49/48.56    (8)  all_25_3 = e11
% 244.49/48.56    (9)  op1(e10, e13) = e13
% 244.49/48.56    (10)   ~ (e13 = e10)
% 244.49/48.56    (11)   ~ (e14 = e13)
% 244.49/48.56    (12)  all_25_21 = e13
% 244.49/48.56    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.56    (14)   ~ (e13 = e11)
% 244.49/48.56    (15)  op1(e13, e12) = e10
% 244.49/48.56    (16)   ~ (e11 = e10)
% 244.49/48.56    (17)   ~ (e13 = e12)
% 244.49/48.56    (18)  op1(e13, e13) = e11
% 244.49/48.56    (19)   ~ (e12 = e10)
% 244.49/48.56    (20)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.56    (21)  all_25_13 = e11
% 244.49/48.56    (22)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.56            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.56            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.56    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.56    (24)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.56            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.56            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.56    (25)   ~ (e14 = e12)
% 244.49/48.56    (26)  all_25_17 = e13
% 244.49/48.56  
% 244.49/48.56  Begin of proof
% 244.49/48.56  | 
% 244.49/48.56  | BETA: splitting (22) gives:
% 244.49/48.56  | 
% 244.49/48.56  | Case 1:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (27)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 244.49/48.56  | |             e13) = e10)
% 244.49/48.56  | | 
% 244.49/48.56  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (13), (14), (15),
% 244.49/48.56  | |            (16), (17), (18), (19), (20), (23), (25), (27) are inconsistent
% 244.49/48.56  | |            by sub-proof #1279.
% 244.49/48.56  | | 
% 244.49/48.56  | Case 2:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (28)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 244.49/48.56  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.56  | | 
% 244.49/48.56  | | BETA: splitting (28) gives:
% 244.49/48.56  | | 
% 244.49/48.56  | | Case 1:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (29)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.49/48.56  | | | 
% 244.49/48.56  | | | ALPHA: (29) implies:
% 244.49/48.56  | | |   (30)  all_25_7 = e10
% 244.49/48.56  | | | 
% 244.49/48.56  | | | REF_CLOSE: (1), (4), (7), (8), (9), (11), (13), (21), (24), (25), (30) are
% 244.49/48.56  | | |            inconsistent by sub-proof #1169.
% 244.49/48.56  | | | 
% 244.49/48.56  | | Case 2:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (31)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 244.49/48.56  | | |           op1(e10, e13) = e10)
% 244.49/48.56  | | | 
% 244.49/48.56  | | | BETA: splitting (31) gives:
% 244.49/48.56  | | | 
% 244.49/48.56  | | | Case 1:
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | |   (32)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | REF_CLOSE: (16), (21), (32) are inconsistent by sub-proof #1069.
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | Case 2:
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | |   (33)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (12), (13), (14), (15),
% 244.49/48.56  | | | |            (17), (18), (23), (25), (26), (33) are inconsistent by
% 244.49/48.56  | | | |            sub-proof #1256.
% 244.49/48.56  | | | | 
% 244.49/48.56  | | | End of split
% 244.49/48.56  | | | 
% 244.49/48.56  | | End of split
% 244.49/48.56  | | 
% 244.49/48.56  | End of split
% 244.49/48.56  | 
% 244.49/48.56  End of proof
% 244.49/48.56  
% 244.49/48.56  Sub-proof #447 shows that the following formulas are inconsistent:
% 244.49/48.56  ----------------------------------------------------------------
% 244.49/48.56    (1)   ~ (e14 = e10)
% 244.49/48.56    (2)  all_25_2 = e12
% 244.49/48.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.56    (4)  all_25_24 = e10
% 244.49/48.56    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.56    (6)   ~ (e12 = e11)
% 244.49/48.56    (7)   ~ (e14 = e11)
% 244.49/48.56    (8)   ~ (e13 = e10)
% 244.49/48.56    (9)   ~ (e14 = e13)
% 244.49/48.56    (10)  op1(e13, unit1) = e13
% 244.49/48.56    (11)  op1(e13, e11) = e14
% 244.49/48.56    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.49/48.56              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.49/48.56            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.56    (13)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.49/48.56              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.49/48.56            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.56    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.56    (15)   ~ (e13 = e11)
% 244.49/48.56    (16)  op1(e13, e12) = e10
% 244.49/48.56    (17)   ~ (e11 = e10)
% 244.49/48.56    (18)   ~ (e13 = e12)
% 244.49/48.56    (19)  op1(e13, e13) = e11
% 244.49/48.56    (20)   ~ (e12 = e10)
% 244.49/48.56    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.56    (22)  all_25_19 = e10
% 244.49/48.56    (23)  op1(e14, e10) = all_14_20
% 244.49/48.56    (24)   ~ (all_14_20 = e12)
% 244.49/48.56    (25)  op1(e10, unit1) = e10
% 244.49/48.56    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.56    (27)  op1(e14, e12) = all_14_10
% 244.49/48.56    (28)   ~ (all_14_10 = e12)
% 244.49/48.56    (29)   ~ (all_14_19 = e10)
% 244.49/48.56    (30)  op1(unit1, e12) = e12
% 244.49/48.56    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.56    (32)  op1(e10, e11) = all_14_19
% 244.49/48.56    (33)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 244.49/48.56              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 244.49/48.56            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.49/48.56    (34)   ~ (e14 = e12)
% 244.49/48.56    (35)  all_25_17 = e13
% 244.49/48.56  
% 244.49/48.56  Begin of proof
% 244.49/48.56  | 
% 244.49/48.56  | BETA: splitting (33) gives:
% 244.49/48.56  | 
% 244.49/48.56  | Case 1:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (36)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 244.49/48.56  | |           op1(e13, e10) = e12)
% 244.49/48.56  | | 
% 244.49/48.56  | | REF_CLOSE: (8), (10), (14), (16), (18), (23), (24), (25), (26), (27), (28),
% 244.49/48.56  | |            (29), (30), (32), (36) are inconsistent by sub-proof #1224.
% 244.49/48.56  | | 
% 244.49/48.56  | Case 2:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (37)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 244.49/48.56  | |           op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 244.49/48.56  | | 
% 244.49/48.56  | | BETA: splitting (37) gives:
% 244.49/48.56  | | 
% 244.49/48.56  | | Case 1:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (38)  all_25_18 = e12 & op1(e12, e10) = e12
% 244.49/48.56  | | | 
% 244.49/48.56  | | | ALPHA: (38) implies:
% 244.49/48.56  | | |   (39)  all_25_18 = e12
% 244.49/48.56  | | |   (40)  op1(e12, e10) = e12
% 244.49/48.56  | | | 
% 244.49/48.56  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (14),
% 244.49/48.56  | | |            (15), (16), (17), (18), (19), (22), (34), (35), (39), (40) are
% 244.49/48.56  | | |            inconsistent by sub-proof #448.
% 244.49/48.56  | | | 
% 244.49/48.56  | | Case 2:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (41)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 244.49/48.56  | | |           op1(e10, e10) = e12)
% 244.49/48.56  | | | 
% 244.49/48.56  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (14), (15), (16),
% 244.49/48.56  | | |            (17), (18), (19), (20), (21), (22), (31), (34), (41) are
% 244.49/48.56  | | |            inconsistent by sub-proof #1012.
% 244.49/48.56  | | | 
% 244.49/48.56  | | End of split
% 244.49/48.56  | | 
% 244.49/48.56  | End of split
% 244.49/48.56  | 
% 244.49/48.56  End of proof
% 244.49/48.56  
% 244.49/48.56  Sub-proof #448 shows that the following formulas are inconsistent:
% 244.49/48.56  ----------------------------------------------------------------
% 244.49/48.56    (1)   ~ (e14 = e10)
% 244.49/48.56    (2)  all_25_2 = e12
% 244.49/48.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.56    (4)  all_25_24 = e10
% 244.49/48.56    (5)   ~ (e12 = e11)
% 244.49/48.56    (6)   ~ (e14 = e11)
% 244.49/48.56    (7)   ~ (e13 = e10)
% 244.49/48.56    (8)   ~ (e14 = e13)
% 244.49/48.56    (9)  op1(e12, e10) = e12
% 244.49/48.56    (10)  op1(e13, e11) = e14
% 244.49/48.56    (11)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.49/48.56              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.49/48.56            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.56    (12)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.49/48.56              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.49/48.56            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.56    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.56    (14)   ~ (e13 = e11)
% 244.49/48.56    (15)  op1(e13, e12) = e10
% 244.49/48.56    (16)   ~ (e11 = e10)
% 244.49/48.56    (17)   ~ (e13 = e12)
% 244.49/48.56    (18)  op1(e13, e13) = e11
% 244.49/48.56    (19)  all_25_19 = e10
% 244.49/48.56    (20)  all_25_18 = e12
% 244.49/48.56    (21)   ~ (e14 = e12)
% 244.49/48.56    (22)  all_25_17 = e13
% 244.49/48.56  
% 244.49/48.56  Begin of proof
% 244.49/48.56  | 
% 244.49/48.56  | BETA: splitting (11) gives:
% 244.49/48.56  | 
% 244.49/48.56  | Case 1:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (23)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 244.49/48.56  | |           op1(e13, e10) = e11)
% 244.49/48.56  | | 
% 244.49/48.56  | | BETA: splitting (23) gives:
% 244.49/48.56  | | 
% 244.49/48.56  | | Case 1:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (24)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.49/48.56  | | | 
% 244.49/48.56  | | | ALPHA: (24) implies:
% 244.49/48.56  | | |   (25)  all_25_16 = e11
% 244.49/48.56  | | | 
% 244.49/48.56  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (12), (13), (14),
% 244.49/48.56  | | |            (15), (17), (18), (19), (20), (21), (25) are inconsistent by
% 244.49/48.56  | | |            sub-proof #449.
% 244.49/48.56  | | | 
% 244.49/48.56  | | Case 2:
% 244.49/48.56  | | | 
% 244.49/48.56  | | |   (26)  all_25_17 = e11 & op1(e13, e10) = e11
% 244.49/48.56  | | | 
% 244.49/48.56  | | | REF_CLOSE: (14), (22), (26) are inconsistent by sub-proof #940.
% 244.49/48.56  | | | 
% 244.49/48.56  | | End of split
% 244.49/48.56  | | 
% 244.49/48.56  | Case 2:
% 244.49/48.56  | | 
% 244.49/48.56  | |   (27)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 244.49/48.56  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.56  | | 
% 244.49/48.56  | | BETA: splitting (27) gives:
% 244.49/48.56  | | 
% 244.49/48.56  | | Case 1:
% 244.49/48.56  | | | 
% 244.49/48.57  | | |   (28)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (28) implies:
% 244.49/48.57  | | |   (29)  op1(e12, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (5), (9), (13), (29) are inconsistent by sub-proof #926.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (30)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 244.49/48.57  | | |           op1(e10, e10) = e11)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | BETA: splitting (30) gives:
% 244.49/48.57  | | | 
% 244.49/48.57  | | | Case 1:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (31)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (16), (19), (31) are inconsistent by sub-proof #1103.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | Case 2:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (32)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (4), (16), (32) are inconsistent by sub-proof #1201.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | End of split
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #449 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_2 = e12
% 244.49/48.57    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.57    (4)  all_25_24 = e10
% 244.49/48.57    (5)   ~ (e14 = e11)
% 244.49/48.57    (6)   ~ (e13 = e10)
% 244.49/48.57    (7)   ~ (e14 = e13)
% 244.49/48.57    (8)  op1(e13, e11) = e14
% 244.49/48.57    (9)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.49/48.57             e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.49/48.57           e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.57    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (11)   ~ (e13 = e11)
% 244.49/48.57    (12)  op1(e13, e12) = e10
% 244.49/48.57    (13)   ~ (e13 = e12)
% 244.49/48.57    (14)  op1(e13, e13) = e11
% 244.49/48.57    (15)  all_25_16 = e11
% 244.49/48.57    (16)  all_25_19 = e10
% 244.49/48.57    (17)  all_25_18 = e12
% 244.49/48.57    (18)   ~ (e14 = e12)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (9) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (19)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 &
% 244.49/48.57  | |           op1(e13, e10) = e14)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (19) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (20)  all_25_16 = e14 & op1(e14, e10) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (5), (15), (20) are inconsistent by sub-proof #1235.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (21)  all_25_17 = e14 & op1(e13, e10) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (2), (3), (6), (7), (8), (10), (11), (12), (13), (14), (21) are
% 244.49/48.57  | | |            inconsistent by sub-proof #1136.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (22)  (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 = e14 &
% 244.49/48.57  | |           op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (22) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (23)  all_25_18 = e14 & op1(e12, e10) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (17), (18), (23) are inconsistent by sub-proof #1146.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (24)  (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24 = e14 &
% 244.49/48.57  | | |           op1(e10, e10) = e14)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | BETA: splitting (24) gives:
% 244.49/48.57  | | | 
% 244.49/48.57  | | | Case 1:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (25)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | ALPHA: (25) implies:
% 244.49/48.57  | | | |   (26)  all_25_19 = e14
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | COMBINE_EQS: (16), (26) imply:
% 244.49/48.57  | | | |   (27)  e14 = e10
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REDUCE: (1), (27) imply:
% 244.49/48.57  | | | |   (28)  $false
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | CLOSE: (28) is inconsistent.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | Case 2:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (29)  all_25_24 = e14 & op1(e10, e10) = e14
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (1), (4), (29) are inconsistent by sub-proof #1208.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | End of split
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #450 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 244.49/48.57             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 244.49/48.57           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.57    (2)  all_25_24 = e10
% 244.49/48.57    (3)   ~ (e12 = e11)
% 244.49/48.57    (4)   ~ (e13 = e10)
% 244.49/48.57    (5)  op1(e10, e12) = e14
% 244.49/48.57    (6)  op1(e13, unit1) = e13
% 244.49/48.57    (7)  all_25_21 = e13
% 244.49/48.57    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (9)   ~ (e13 = e11)
% 244.49/48.57    (10)  op1(e13, e12) = e10
% 244.49/48.57    (11)   ~ (e11 = e10)
% 244.49/48.57    (12)   ~ (e13 = e12)
% 244.49/48.57    (13)  op1(e10, unit1) = e10
% 244.49/48.57    (14)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.57    (15)  op1(unit1, e14) = e14
% 244.49/48.57    (16)  op1(e14, e12) = all_14_10
% 244.49/48.57    (17)   ~ (all_14_10 = e12)
% 244.49/48.57    (18)   ~ (all_14_19 = e10)
% 244.49/48.57    (19)  op1(unit1, e12) = e12
% 244.49/48.57    (20)  op1(e10, e11) = all_14_19
% 244.49/48.57    (21)  op1(e13, e14) = e12
% 244.49/48.57    (22)  all_25_23 = e12
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (1) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (23)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 244.49/48.57  | |           op1(e10, e13) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (23) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (24)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (24) implies:
% 244.49/48.57  | | |   (25)  op1(e10, e14) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (12), (13), (14), (15), (18),
% 244.49/48.57  | | |            (19), (20), (21), (25) are inconsistent by sub-proof #1203.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (26)  all_25_21 = e11 & op1(e10, e13) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (7), (9), (26) are inconsistent by sub-proof #451.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (27)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 244.49/48.57  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (2), (3), (4), (6), (8), (10), (11), (13), (14), (16), (17),
% 244.49/48.57  | |            (18), (19), (20), (22), (27) are inconsistent by sub-proof #1122.
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #451 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)  all_25_21 = e11 & op1(e10, e13) = e11
% 244.49/48.57    (2)  all_25_21 = e13
% 244.49/48.57    (3)   ~ (e13 = e11)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | ALPHA: (1) implies:
% 244.49/48.57  |   (4)  all_25_21 = e11
% 244.49/48.57  | 
% 244.49/48.57  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.57  |   (5)  e13 = e11
% 244.49/48.57  | 
% 244.49/48.57  | SIMP: (5) implies:
% 244.49/48.57  |   (6)  e13 = e11
% 244.49/48.57  | 
% 244.49/48.57  | REDUCE: (3), (6) imply:
% 244.49/48.57  |   (7)  $false
% 244.49/48.57  | 
% 244.49/48.57  | CLOSE: (7) is inconsistent.
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #452 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_1 = e12
% 244.49/48.57    (3)   ~ (e14 = e11)
% 244.49/48.57    (4)   ~ (e14 = e13)
% 244.49/48.57    (5)  op1(e14, e11) = all_14_15
% 244.49/48.57    (6)  all_25_4 = e11
% 244.49/48.57    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (8)  e14 = e13
% 244.49/48.57    (9)  all_25_0 = e10
% 244.49/48.57    (10)   ~ (all_14_15 = e14)
% 244.49/48.57    (11)  all_25_16 = e14
% 244.49/48.57    (12)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 244.49/48.57            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 244.49/48.57            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 244.49/48.57    (13)   ~ (e14 = e12)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | SIMP: (8) implies:
% 244.49/48.57  |   (14)  e14 = e13
% 244.49/48.57  | 
% 244.49/48.57  | COMBINE_EQS: (11), (14) imply:
% 244.49/48.57  |   (15)  all_25_16 = e13
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (12) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (16)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 244.49/48.57  | |             e13) = e14)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (16) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (17)  all_25_0 = e14 & op1(e14, e14) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (1), (9), (17) are inconsistent by sub-proof #1220.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (18)  all_25_1 = e14 & op1(e14, e13) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (2), (13), (18) are inconsistent by sub-proof #1292.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (19)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 244.49/48.57  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (19) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (20)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (3), (6), (20) are inconsistent by sub-proof #453.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (21)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 244.49/48.57  | | |           op1(e14, e10) = e14)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (4), (5), (7), (10), (15), (21) are inconsistent by sub-proof
% 244.49/48.57  | | |            #1131.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #453 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.49/48.57    (2)  all_25_4 = e11
% 244.49/48.57    (3)   ~ (e14 = e11)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | ALPHA: (1) implies:
% 244.49/48.57  |   (4)  all_25_4 = e14
% 244.49/48.57  | 
% 244.49/48.57  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.57  |   (5)  e14 = e11
% 244.49/48.57  | 
% 244.49/48.57  | SIMP: (5) implies:
% 244.49/48.57  |   (6)  e14 = e11
% 244.49/48.57  | 
% 244.49/48.57  | REDUCE: (3), (6) imply:
% 244.49/48.57  |   (7)  $false
% 244.49/48.57  | 
% 244.49/48.57  | CLOSE: (7) is inconsistent.
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #454 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_2 = e12
% 244.49/48.57    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.57    (4)  all_25_19 = e12
% 244.49/48.57    (5)  all_25_24 = e10
% 244.49/48.57    (6)   ~ (e12 = e11)
% 244.49/48.57    (7)   ~ (e14 = e11)
% 244.49/48.57    (8)   ~ (e13 = e10)
% 244.49/48.57    (9)   ~ (e14 = e13)
% 244.49/48.57    (10)  op1(e12, e10) = e12
% 244.49/48.57    (11)  op1(e13, e11) = e14
% 244.49/48.57    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 244.49/48.57              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 244.49/48.57            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.57    (13)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 244.49/48.57              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 244.49/48.57            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.57    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (15)   ~ (e13 = e11)
% 244.49/48.57    (16)  op1(e13, e12) = e10
% 244.49/48.57    (17)   ~ (e11 = e10)
% 244.49/48.57    (18)   ~ (e13 = e12)
% 244.49/48.57    (19)  op1(e13, e13) = e11
% 244.49/48.57    (20)  all_25_18 = e12
% 244.49/48.57    (21)   ~ (e14 = e12)
% 244.49/48.57    (22)  all_25_17 = e13
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (12) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (23)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 244.49/48.57  | |           op1(e13, e10) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (23) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (24)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (24) implies:
% 244.49/48.57  | | |   (25)  all_25_16 = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (13), (14), (15),
% 244.49/48.57  | | |            (16), (18), (19), (20), (21), (25) are inconsistent by
% 244.49/48.57  | | |            sub-proof #1085.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (26)  all_25_17 = e11 & op1(e13, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (15), (22), (26) are inconsistent by sub-proof #940.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (27)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 244.49/48.57  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (27) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (28)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (28) implies:
% 244.49/48.57  | | |   (29)  op1(e12, e10) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (6), (10), (14), (29) are inconsistent by sub-proof #926.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (30)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 244.49/48.57  | | |           op1(e10, e10) = e11)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | BETA: splitting (30) gives:
% 244.49/48.57  | | | 
% 244.49/48.57  | | | Case 1:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (31)  all_25_19 = e11 & op1(e11, e10) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (4), (6), (31) are inconsistent by sub-proof #1046.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | Case 2:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (32)  all_25_24 = e11 & op1(e10, e10) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (5), (17), (32) are inconsistent by sub-proof #1259.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | End of split
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #455 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e12 = e11)
% 244.49/48.57    (2)   ~ (e13 = e10)
% 244.49/48.57    (3)  all_25_11 = e12
% 244.49/48.57    (4)  op1(e13, unit1) = e13
% 244.49/48.57    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (6)  op1(e13, e12) = e10
% 244.49/48.57    (7)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12,
% 244.49/48.57             e10) = e11)
% 244.49/48.57    (8)  op1(e12, unit1) = e12
% 244.49/48.57    (9)   ~ (e13 = e12)
% 244.49/48.57    (10)  op1(e10, unit1) = e10
% 244.49/48.57    (11)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.57    (12)   ~ (all_14_19 = e10)
% 244.49/48.57    (13)  op1(e10, e11) = all_14_19
% 244.49/48.57    (14)  op1(e13, e14) = e12
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (7) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (15)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (1), (3), (15) are inconsistent by sub-proof #1149.
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (16)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | ALPHA: (16) implies:
% 244.49/48.57  | |   (17)  op1(e12, e10) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 244.49/48.57  | |            (17) are inconsistent by sub-proof #1052.
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #456 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)  all_25_1 = e12
% 244.49/48.57    (2)  op1(e14, unit1) = e14
% 244.49/48.57    (3)   ~ (e12 = e11)
% 244.49/48.57    (4)   ~ (e14 = e11)
% 244.49/48.57    (5)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 244.49/48.57           = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 244.49/48.57           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.49/48.57    (6)  all_25_4 = e14
% 244.49/48.57    (7)   ~ (e13 = e10)
% 244.49/48.57    (8)  op1(e13, unit1) = e13
% 244.49/48.57    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (10)   ~ (e13 = e11)
% 244.49/48.57    (11)  op1(e13, e12) = e10
% 244.49/48.57    (12)   ~ (e11 = e10)
% 244.49/48.57    (13)  all_25_9 = e13
% 244.49/48.57    (14)   ~ (e13 = e12)
% 244.49/48.57    (15)  all_25_0 = e10
% 244.49/48.57    (16)  op1(e10, unit1) = e10
% 244.49/48.57    (17)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.57    (18)   ~ (all_14_19 = e10)
% 244.49/48.57    (19)  op1(e10, e11) = all_14_19
% 244.49/48.57    (20)  op1(e13, e14) = e12
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (5) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (21)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 244.49/48.57  | |             e13) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (21) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (22)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (12), (15), (22) are inconsistent by sub-proof #1222.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (23)  all_25_1 = e11 & op1(e14, e13) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (1), (3), (23) are inconsistent by sub-proof #1240.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (24)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 & op1(e14,
% 244.49/48.57  | |             e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (24) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (25)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (4), (6), (25) are inconsistent by sub-proof #921.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (26)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 244.49/48.57  | | |           op1(e14, e10) = e11)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | BETA: splitting (26) gives:
% 244.49/48.57  | | | 
% 244.49/48.57  | | | Case 1:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (27)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (10), (13), (27) are inconsistent by sub-proof #475.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | Case 2:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (28)  all_25_16 = e11 & op1(e14, e10) = e11
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | REF_CLOSE: (2), (4), (7), (8), (9), (11), (14), (16), (17), (18), (19),
% 244.49/48.57  | | | |            (20), (28) are inconsistent by sub-proof #941.
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | End of split
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #457 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_2 = e12
% 244.49/48.57    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.57    (4)  all_25_24 = e10
% 244.49/48.57    (5)   ~ (e12 = e11)
% 244.49/48.57    (6)   ~ (e14 = e11)
% 244.49/48.57    (7)  all_25_3 = e11
% 244.49/48.57    (8)   ~ (e13 = e10)
% 244.49/48.57    (9)   ~ (e14 = e13)
% 244.49/48.57    (10)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10,
% 244.49/48.57              e14) = e11)
% 244.49/48.57    (11)  op1(e13, unit1) = e13
% 244.49/48.57    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (13)   ~ (e13 = e11)
% 244.49/48.57    (14)  op1(e13, e12) = e10
% 244.49/48.57    (15)  all_25_12 = e10
% 244.49/48.57    (16)   ~ (e11 = e10)
% 244.49/48.57    (17)   ~ (e13 = e12)
% 244.49/48.57    (18)  op1(e13, e13) = e11
% 244.49/48.57    (19)   ~ (all_14_19 = e14)
% 244.49/48.57    (20)   ~ (all_14_14 = e13)
% 244.49/48.57    (21)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.49/48.57              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.49/48.57            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.57    (22)   ~ (all_14_19 = e13)
% 244.49/48.57    (23)  op1(e10, unit1) = e10
% 244.49/48.57    (24)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.57    (25)  op1(unit1, e14) = e14
% 244.49/48.57    (26)   ~ (all_14_19 = e10)
% 244.49/48.57    (27)  op1(unit1, e12) = e12
% 244.49/48.57    (28)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.49/48.57              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.49/48.57            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.49/48.57    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.57    (30)  op1(e10, e11) = all_14_19
% 244.49/48.57    (31)  op1(e10, e12) = all_14_14
% 244.49/48.57    (32)  op1(e13, e14) = e12
% 244.49/48.57    (33)   ~ (e14 = e12)
% 244.49/48.57    (34)  all_25_17 = e13
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (10) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (35)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | ALPHA: (35) implies:
% 244.49/48.57  | |   (36)  all_25_12 = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (15), (16), (36) are inconsistent by sub-proof #1177.
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (37)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | ALPHA: (37) implies:
% 244.49/48.57  | |   (38)  all_25_20 = e11
% 244.49/48.57  | |   (39)  op1(e10, e14) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 244.49/48.57  | |            (14), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 244.49/48.57  | |            (27), (28), (29), (30), (31), (32), (33), (34), (38), (39) are
% 244.49/48.57  | |            inconsistent by sub-proof #947.
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #458 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_1 = e12
% 244.49/48.57    (3)   ~ (e12 = e11)
% 244.49/48.57    (4)   ~ (e14 = e11)
% 244.49/48.57    (5)  all_25_3 = e11
% 244.49/48.57    (6)  op1(e10, e13) = e13
% 244.49/48.57    (7)   ~ (e14 = e13)
% 244.49/48.57    (8)  op1(e12, e10) = e12
% 244.49/48.57    (9)  all_25_8 = e14
% 244.49/48.57    (10)  all_25_11 = e10
% 244.49/48.57    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (12)  all_25_13 = e10
% 244.49/48.57    (13)   ~ (e13 = e11)
% 244.49/48.57    (14)   ~ (e11 = e10)
% 244.49/48.57    (15)  all_25_6 = e13
% 244.49/48.57    (16)  all_25_7 = e14
% 244.49/48.57    (17)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.57            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.57            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.57    (18)   ~ (e14 = e12)
% 244.49/48.57    (19)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 244.49/48.57            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 244.49/48.57            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (19) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (20)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 244.49/48.57  | |             e13) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11), (12), (13), (15), (17), (18),
% 244.49/48.57  | |            (20) are inconsistent by sub-proof #459.
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (21)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 & op1(e12,
% 244.49/48.57  | |             e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (21) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (22)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (22) implies:
% 244.49/48.57  | | |   (23)  all_25_8 = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | COMBINE_EQS: (9), (23) imply:
% 244.49/48.57  | | |   (24)  e14 = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | COMBINE_EQS: (16), (24) imply:
% 244.49/48.57  | | |   (25)  all_25_7 = e11
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11), (12), (17), (18), (25) are
% 244.49/48.57  | | |            inconsistent by sub-proof #935.
% 244.49/48.57  | | | 
% 244.49/48.57  | | Case 2:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (26)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 244.49/48.57  | | |           op1(e12, e10) = e11)
% 244.49/48.57  | | | 
% 244.49/48.57  | | | REF_CLOSE: (3), (8), (10), (11), (14), (26) are inconsistent by sub-proof
% 244.49/48.57  | | |            #487.
% 244.49/48.57  | | | 
% 244.49/48.57  | | End of split
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #459 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 244.49/48.57           = e11)
% 244.49/48.57    (3)  all_25_1 = e12
% 244.49/48.57    (4)   ~ (e14 = e11)
% 244.49/48.57    (5)  all_25_3 = e11
% 244.49/48.57    (6)  op1(e10, e13) = e13
% 244.49/48.57    (7)   ~ (e14 = e13)
% 244.49/48.57    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (9)  all_25_13 = e10
% 244.49/48.57    (10)   ~ (e13 = e11)
% 244.49/48.57    (11)  all_25_6 = e13
% 244.49/48.57    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.57            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.57            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.57    (13)   ~ (e14 = e12)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (2) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (14)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (10), (11), (14) are inconsistent by sub-proof #1188.
% 244.49/48.57  | | 
% 244.49/48.57  | Case 2:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (15)  all_25_7 = e11 & op1(e12, e13) = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | ALPHA: (15) implies:
% 244.49/48.57  | |   (16)  all_25_7 = e11
% 244.49/48.57  | | 
% 244.49/48.57  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (12), (13), (16) are
% 244.49/48.57  | |            inconsistent by sub-proof #935.
% 244.49/48.57  | | 
% 244.49/48.57  | End of split
% 244.49/48.57  | 
% 244.49/48.57  End of proof
% 244.49/48.57  
% 244.49/48.57  Sub-proof #460 shows that the following formulas are inconsistent:
% 244.49/48.57  ----------------------------------------------------------------
% 244.49/48.57    (1)   ~ (e14 = e10)
% 244.49/48.57    (2)  all_25_22 = e12
% 244.49/48.57    (3)  all_25_14 = e13
% 244.49/48.57    (4)   ~ (e12 = e11)
% 244.49/48.57    (5)   ~ (e14 = e11)
% 244.49/48.57    (6)   ~ (e13 = e10)
% 244.49/48.57    (7)   ~ (e14 = e13)
% 244.49/48.57    (8)  op1(e13, unit1) = e13
% 244.49/48.57    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.57    (10)   ~ (e13 = e11)
% 244.49/48.57    (11)  op1(e13, e12) = e10
% 244.49/48.57    (12)   ~ (e11 = e10)
% 244.49/48.57    (13)  all_25_8 = e12
% 244.49/48.57    (14)  op1(e10, unit1) = e10
% 244.49/48.57    (15)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.57    (16)  op1(e14, e12) = all_14_10
% 244.49/48.57    (17)   ~ (all_14_10 = e12)
% 244.49/48.57    (18)   ~ (all_14_19 = e10)
% 244.49/48.57    (19)  op1(unit1, e12) = e12
% 244.49/48.57    (20)  op1(e10, e11) = all_14_19
% 244.49/48.57    (21)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 244.49/48.57            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 244.49/48.57            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.49/48.57    (22)   ~ (e14 = e12)
% 244.49/48.57    (23)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 244.49/48.57            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 244.49/48.57            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.49/48.57  
% 244.49/48.57  Begin of proof
% 244.49/48.57  | 
% 244.49/48.57  | BETA: splitting (21) gives:
% 244.49/48.57  | 
% 244.49/48.57  | Case 1:
% 244.49/48.57  | | 
% 244.49/48.57  | |   (24)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 244.49/48.57  | |             e12) = e14)
% 244.49/48.57  | | 
% 244.49/48.57  | | BETA: splitting (24) gives:
% 244.49/48.57  | | 
% 244.49/48.57  | | Case 1:
% 244.49/48.57  | | | 
% 244.49/48.57  | | |   (25)  all_25_4 = e14 & op1(e14, e12) = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | ALPHA: (25) implies:
% 244.49/48.57  | | |   (26)  all_25_4 = e14
% 244.49/48.57  | | | 
% 244.49/48.57  | | | BETA: splitting (23) gives:
% 244.49/48.57  | | | 
% 244.49/48.57  | | | Case 1:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | |   (27)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 &
% 244.49/48.57  | | | |           op1(e13, e12) = e11)
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | BETA: splitting (27) gives:
% 244.49/48.57  | | | | 
% 244.49/48.57  | | | | Case 1:
% 244.49/48.57  | | | | | 
% 244.49/48.57  | | | | |   (28)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.49/48.57  | | | | | 
% 244.49/48.57  | | | | | REF_CLOSE: (5), (26), (28) are inconsistent by sub-proof #921.
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | Case 2:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | |   (29)  all_25_5 = e11 & op1(e13, e12) = e11
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | REF_CLOSE: (9), (11), (12), (29) are inconsistent by sub-proof #1285.
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | End of split
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | Case 2:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (30)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 244.49/48.58  | | | |           op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | BETA: splitting (30) gives:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | Case 1:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | |   (31)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | REF_CLOSE: (4), (13), (31) are inconsistent by sub-proof #1079.
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | Case 2:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | |   (32)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 244.49/48.58  | | | | |           op1(e10, e12) = e11)
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | BETA: splitting (32) gives:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | Case 1:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (33)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (3), (10), (33) are inconsistent by sub-proof #477.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | Case 2:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (34)  all_25_22 = e11 & op1(e10, e12) = e11
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (4), (6), (8), (9), (11), (14), (15), (16), (17), (18),
% 244.49/48.58  | | | | | |            (19), (20), (34) are inconsistent by sub-proof #1266.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | End of split
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | End of split
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | End of split
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (35)  all_25_5 = e14 & op1(e13, e12) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | ALPHA: (35) implies:
% 244.49/48.58  | | |   (36)  op1(e13, e12) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (1), (9), (11), (36) are inconsistent by sub-proof #1286.
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (37)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 & op1(e11,
% 244.49/48.58  | |             e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (37) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (38)  all_25_8 = e14 & op1(e12, e12) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | ALPHA: (38) implies:
% 244.49/48.58  | | |   (39)  all_25_8 = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (13), (22), (39) are inconsistent by sub-proof #462.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (40)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 &
% 244.49/48.58  | | |           op1(e10, e12) = e14)
% 244.49/48.58  | | | 
% 244.49/48.58  | | | BETA: splitting (40) gives:
% 244.49/48.58  | | | 
% 244.49/48.58  | | | Case 1:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (41)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (3), (7), (41) are inconsistent by sub-proof #461.
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | Case 2:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (42)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (2), (22), (42) are inconsistent by sub-proof #476.
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | End of split
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | End of split
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #461 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.58    (2)  all_25_14 = e13
% 244.49/48.58    (3)   ~ (e14 = e13)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | ALPHA: (1) implies:
% 244.49/48.58  |   (4)  all_25_14 = e14
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.58  |   (5)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | SIMP: (5) implies:
% 244.49/48.58  |   (6)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | REDUCE: (3), (6) imply:
% 244.49/48.58  |   (7)  $false
% 244.49/48.58  | 
% 244.49/48.58  | CLOSE: (7) is inconsistent.
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #462 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)  all_25_8 = e14
% 244.49/48.58    (2)  all_25_8 = e12
% 244.49/48.58    (3)   ~ (e14 = e12)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (1), (2) imply:
% 244.49/48.58  |   (4)  e14 = e12
% 244.49/48.58  | 
% 244.49/48.58  | SIMP: (4) implies:
% 244.49/48.58  |   (5)  e14 = e12
% 244.49/48.58  | 
% 244.49/48.58  | REDUCE: (3), (5) imply:
% 244.49/48.58  |   (6)  $false
% 244.49/48.58  | 
% 244.49/48.58  | CLOSE: (6) is inconsistent.
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #463 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)  op1(e12, e13) = all_14_7
% 244.49/48.58    (2)   ~ (all_14_7 = e12)
% 244.49/48.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (4)   ~ (e13 = e12)
% 244.49/48.58    (5)  all_25_6 = e13
% 244.49/48.58    (6)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12, e13)
% 244.49/48.58           = e12)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | BETA: splitting (6) gives:
% 244.49/48.58  | 
% 244.49/48.58  | Case 1:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (7)  all_25_6 = e12 & op1(e12, e14) = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | ALPHA: (7) implies:
% 244.49/48.58  | |   (8)  all_25_6 = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | COMBINE_EQS: (5), (8) imply:
% 244.49/48.58  | |   (9)  e13 = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | REDUCE: (4), (9) imply:
% 244.49/48.58  | |   (10)  $false
% 244.49/48.58  | | 
% 244.49/48.58  | | CLOSE: (10) is inconsistent.
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (11)  all_25_7 = e12 & op1(e12, e13) = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | ALPHA: (11) implies:
% 244.49/48.58  | |   (12)  op1(e12, e13) = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | REF_CLOSE: (1), (2), (3), (12) are inconsistent by sub-proof #1296.
% 244.49/48.58  | | 
% 244.49/48.58  | End of split
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #464 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)   ~ (e14 = e10)
% 244.49/48.58    (2)  all_25_1 = e12
% 244.49/48.58    (3)   ~ (e14 = e11)
% 244.49/48.58    (4)  all_25_3 = e11
% 244.49/48.58    (5)  op1(e10, e13) = e13
% 244.49/48.58    (6)  all_25_4 = e14
% 244.49/48.58    (7)   ~ (e14 = e13)
% 244.49/48.58    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (9)  all_25_13 = e10
% 244.49/48.58    (10)  all_25_7 = e14
% 244.49/48.58    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (12)   ~ (e14 = e12)
% 244.49/48.58    (13)  all_25_4 = e11 & op1(e14, e12) = e11
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | ALPHA: (13) implies:
% 244.49/48.58  |   (14)  all_25_4 = e11
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (6), (14) imply:
% 244.49/48.58  |   (15)  e14 = e11
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (10), (15) imply:
% 244.49/48.58  |   (16)  all_25_7 = e11
% 244.49/48.58  | 
% 244.49/48.58  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (16) are
% 244.49/48.58  |            inconsistent by sub-proof #935.
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #465 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)   ~ (e14 = e10)
% 244.49/48.58    (2)  all_25_2 = e12
% 244.49/48.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.58    (4)  all_25_1 = e12
% 244.49/48.58    (5)  all_25_24 = e10
% 244.49/48.58    (6)   ~ (e12 = e11)
% 244.49/48.58    (7)   ~ (e14 = e11)
% 244.49/48.58    (8)  all_25_3 = e11
% 244.49/48.58    (9)  op1(e10, e13) = e13
% 244.49/48.58    (10)   ~ (e13 = e10)
% 244.49/48.58    (11)   ~ (e14 = e13)
% 244.49/48.58    (12)  all_25_20 = e12
% 244.49/48.58    (13)  op1(e13, unit1) = e13
% 244.49/48.58    (14)  op1(e13, e11) = e14
% 244.49/48.58    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (16)  all_25_13 = e10
% 244.49/48.58    (17)   ~ (e13 = e11)
% 244.49/48.58    (18)  op1(e13, e12) = e10
% 244.49/48.58    (19)   ~ (e11 = e10)
% 244.49/48.58    (20)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 244.49/48.58            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 244.49/48.58            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 244.49/48.58    (21)   ~ (e13 = e12)
% 244.49/48.58    (22)  op1(e13, e13) = e11
% 244.49/48.58    (23)   ~ (e12 = e10)
% 244.49/48.58    (24)   ~ (all_14_19 = e14)
% 244.49/48.58    (25)  all_25_6 = e13
% 244.49/48.58    (26)   ~ (all_14_14 = e13)
% 244.49/48.58    (27)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.49/48.58            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.49/48.58            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.58    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.58            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.58            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.58    (29)  all_25_0 = e10
% 244.49/48.58    (30)  all_25_7 = e14
% 244.49/48.58    (31)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.49/48.58              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.49/48.58            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.58    (32)   ~ (all_14_19 = e13)
% 244.49/48.58    (33)  op1(e10, unit1) = e10
% 244.49/48.58    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.58    (35)  op1(unit1, e14) = e14
% 244.49/48.58    (36)   ~ (all_14_19 = e10)
% 244.49/48.58    (37)  op1(unit1, e12) = e12
% 244.49/48.58    (38)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.49/48.58              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.49/48.58            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.49/48.58    (39)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.58    (40)  op1(e10, e11) = all_14_19
% 244.49/48.58    (41)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (42)  op1(e10, e12) = all_14_14
% 244.49/48.58    (43)  op1(e13, e14) = e12
% 244.49/48.58    (44)   ~ (e14 = e12)
% 244.49/48.58    (45)  all_25_17 = e13
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | BETA: splitting (20) gives:
% 244.49/48.58  | 
% 244.49/48.58  | Case 1:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (46)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 244.49/48.58  | |             e14) = e14)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (46) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (47)  all_25_0 = e14 & op1(e14, e14) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (1), (29), (47) are inconsistent by sub-proof #1220.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (48)  all_25_2 = e14 & op1(e13, e14) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (3), (6), (10), (11), (14), (15), (17), (18), (21), (22), (23),
% 244.49/48.58  | | |            (28), (44), (48) are inconsistent by sub-proof #1185.
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (49)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 & op1(e11,
% 244.49/48.58  | |             e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (49) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (50)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (1), (4), (7), (8), (9), (11), (15), (16), (25), (30), (41),
% 244.49/48.58  | | |            (44), (50) are inconsistent by sub-proof #466.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (51)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 244.49/48.58  | | |           op1(e10, e14) = e14)
% 244.49/48.58  | | | 
% 244.49/48.58  | | | BETA: splitting (51) gives:
% 244.49/48.58  | | | 
% 244.49/48.58  | | | Case 1:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (52)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | ALPHA: (52) implies:
% 244.49/48.58  | | | |   (53)  all_25_12 = e14
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 244.49/48.58  | | | |            (13), (15), (16), (17), (18), (19), (21), (22), (24), (25),
% 244.49/48.58  | | | |            (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 244.49/48.58  | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (53)
% 244.49/48.58  | | | |            are inconsistent by sub-proof #470.
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | Case 2:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (54)  all_25_20 = e14 & op1(e10, e14) = e14
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (12), (44), (54) are inconsistent by sub-proof #1190.
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | End of split
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | End of split
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #466 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)   ~ (e14 = e10)
% 244.49/48.58    (2)  all_25_1 = e12
% 244.49/48.58    (3)   ~ (e14 = e11)
% 244.49/48.58    (4)  all_25_3 = e11
% 244.49/48.58    (5)  op1(e10, e13) = e13
% 244.49/48.58    (6)   ~ (e14 = e13)
% 244.49/48.58    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (8)  all_25_13 = e10
% 244.49/48.58    (9)  all_25_6 = e14 & op1(e12, e14) = e14
% 244.49/48.58    (10)  all_25_6 = e13
% 244.49/48.58    (11)  all_25_7 = e14
% 244.49/48.58    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (13)   ~ (e14 = e12)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | ALPHA: (9) implies:
% 244.49/48.58  |   (14)  all_25_6 = e14
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (10), (14) imply:
% 244.49/48.58  |   (15)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | SIMP: (15) implies:
% 244.49/48.58  |   (16)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (11), (16) imply:
% 244.49/48.58  |   (17)  all_25_7 = e13
% 244.49/48.58  | 
% 244.49/48.58  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (12), (13), (17) are
% 244.49/48.58  |            inconsistent by sub-proof #1272.
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #467 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 244.49/48.58             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 244.49/48.58           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.49/48.58    (2)   ~ (e14 = e10)
% 244.49/48.58    (3)  all_25_2 = e12
% 244.49/48.58    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.58    (5)  all_25_1 = e12
% 244.49/48.58    (6)  all_25_24 = e10
% 244.49/48.58    (7)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 244.49/48.58             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 244.49/48.58           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 244.49/48.58    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.58           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.58           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.58    (9)  all_25_14 = e13
% 244.49/48.58    (10)   ~ (e12 = e11)
% 244.49/48.58    (11)   ~ (e14 = e11)
% 244.49/48.58    (12)  all_25_3 = e11
% 244.49/48.58    (13)  op1(e10, e13) = e13
% 244.49/48.58    (14)   ~ (e13 = e10)
% 244.49/48.58    (15)   ~ (e14 = e13)
% 244.49/48.58    (16)  op1(e13, unit1) = e13
% 244.49/48.58    (17)  all_25_21 = e13
% 244.49/48.58    (18)  all_25_15 = e11
% 244.49/48.58    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (20)  all_25_13 = e10
% 244.49/48.58    (21)   ~ (e13 = e11)
% 244.49/48.58    (22)  op1(e13, e12) = e10
% 244.49/48.58    (23)   ~ (all_14_18 = e14)
% 244.49/48.58    (24)   ~ (e11 = e10)
% 244.49/48.58    (25)   ~ (e13 = e12)
% 244.49/48.58    (26)  op1(e13, e13) = e11
% 244.49/48.58    (27)   ~ (e12 = e10)
% 244.49/48.58    (28)   ~ (all_14_19 = e14)
% 244.49/48.58    (29)  all_25_6 = e13
% 244.49/48.58    (30)   ~ (all_14_14 = e13)
% 244.49/48.58    (31)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.49/48.58            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.49/48.58            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.58    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.58            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.58            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.58    (33)  all_25_0 = e10
% 244.49/48.58    (34)  all_25_7 = e14
% 244.49/48.58    (35)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.49/48.58              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.49/48.58            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.58    (36)   ~ (all_14_19 = e13)
% 244.49/48.58    (37)  op1(e10, unit1) = e10
% 244.49/48.58    (38)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.58    (39)  op1(unit1, e14) = e14
% 244.49/48.58    (40)  op1(e11, e11) = all_14_18
% 244.49/48.58    (41)   ~ (all_14_19 = e10)
% 244.49/48.58    (42)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.58            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.58            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.58    (43)  op1(unit1, e12) = e12
% 244.49/48.58    (44)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.49/48.58              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.49/48.58            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.49/48.58    (45)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.58    (46)  op1(e10, e11) = all_14_19
% 244.49/48.58    (47)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (48)  op1(e10, e12) = all_14_14
% 244.49/48.58    (49)  op1(e13, e14) = e12
% 244.49/48.58    (50)   ~ (e14 = e12)
% 244.49/48.58    (51)  all_25_17 = e13
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | BETA: splitting (1) gives:
% 244.49/48.58  | 
% 244.49/48.58  | Case 1:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (52)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 &
% 244.49/48.58  | |           op1(e11, e13) = e12)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (52) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (53)  all_25_12 = e12 & op1(e11, e14) = e12
% 244.49/48.58  | | | 
% 244.49/48.58  | | | ALPHA: (53) implies:
% 244.49/48.58  | | |   (54)  all_25_12 = e12
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (2), (3), (4), (6), (10), (11), (12), (14), (15), (16), (19),
% 244.49/48.58  | | |            (21), (22), (24), (25), (26), (28), (29), (30), (31), (33),
% 244.49/48.58  | | |            (35), (36), (37), (38), (39), (41), (43), (44), (45), (46),
% 244.49/48.58  | | |            (48), (49), (50), (51), (54) are inconsistent by sub-proof
% 244.49/48.58  | | |            #472.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (55)  all_25_13 = e12 & op1(e11, e13) = e12
% 244.49/48.58  | | | 
% 244.49/48.58  | | | ALPHA: (55) implies:
% 244.49/48.58  | | |   (56)  all_25_13 = e12
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (2), (3), (4), (5), (8), (10), (11), (12), (13), (14), (15),
% 244.49/48.58  | | |            (17), (19), (21), (22), (24), (25), (26), (27), (32), (42),
% 244.49/48.58  | | |            (45), (47), (50), (51), (56) are inconsistent by sub-proof
% 244.49/48.58  | | |            #471.
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (57)  (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 = e12 &
% 244.49/48.58  | |           op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (57) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (58)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (9), (25), (58) are inconsistent by sub-proof #478.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (59)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_19 = e12 &
% 244.49/48.58  | | |           op1(e11, e10) = e12)
% 244.49/48.58  | | | 
% 244.49/48.58  | | | BETA: splitting (59) gives:
% 244.49/48.58  | | | 
% 244.49/48.58  | | | Case 1:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (60)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (10), (18), (60) are inconsistent by sub-proof #985.
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | Case 2:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (61)  all_25_19 = e12 & op1(e11, e10) = e12
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | ALPHA: (61) implies:
% 244.49/48.58  | | | |   (62)  all_25_19 = e12
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | BETA: splitting (7) gives:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | Case 1:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | |   (63)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 244.49/48.58  | | | | |           op1(e11, e13) = e14)
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | BETA: splitting (63) gives:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | Case 1:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (64)  all_25_12 = e14 & op1(e11, e14) = e14
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | ALPHA: (64) implies:
% 244.49/48.58  | | | | | |   (65)  all_25_12 = e14
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (10), (11), (12), (13), (14),
% 244.49/48.58  | | | | | |            (15), (16), (19), (20), (21), (22), (24), (25), (26),
% 244.49/48.58  | | | | | |            (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 244.49/48.58  | | | | | |            (38), (39), (41), (43), (44), (45), (46), (47), (48),
% 244.49/48.58  | | | | | |            (49), (50), (51), (65) are inconsistent by sub-proof
% 244.49/48.58  | | | | | |            #470.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | Case 2:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (66)  all_25_13 = e14 & op1(e11, e13) = e14
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | ALPHA: (66) implies:
% 244.49/48.58  | | | | | |   (67)  all_25_13 = e14
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (2), (20), (67) are inconsistent by sub-proof #1275.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | End of split
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | Case 2:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | |   (68)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 244.49/48.58  | | | | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) =
% 244.49/48.58  | | | | |           e14)
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | BETA: splitting (68) gives:
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | | Case 1:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (69)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (2), (5), (9), (11), (12), (13), (15), (19), (20), (34),
% 244.49/48.58  | | | | | |            (47), (50), (69) are inconsistent by sub-proof #469.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | Case 2:
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | |   (70)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 244.49/48.58  | | | | | |           op1(e11, e10) = e14)
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | | REF_CLOSE: (19), (23), (40), (50), (62), (70) are inconsistent by
% 244.49/48.58  | | | | | |            sub-proof #468.
% 244.49/48.58  | | | | | | 
% 244.49/48.58  | | | | | End of split
% 244.49/48.58  | | | | | 
% 244.49/48.58  | | | | End of split
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | End of split
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | End of split
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #468 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)  all_25_19 = e12
% 244.49/48.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (3)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11,
% 244.49/48.58             e10) = e14)
% 244.49/48.58    (4)   ~ (all_14_18 = e14)
% 244.49/48.58    (5)  op1(e11, e11) = all_14_18
% 244.49/48.58    (6)   ~ (e14 = e12)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | BETA: splitting (3) gives:
% 244.49/48.58  | 
% 244.49/48.58  | Case 1:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (7)  all_25_15 = e14 & op1(e11, e11) = e14
% 244.49/48.58  | | 
% 244.49/48.58  | | ALPHA: (7) implies:
% 244.49/48.58  | |   (8)  op1(e11, e11) = e14
% 244.49/48.58  | | 
% 244.49/48.58  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1098.
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (9)  all_25_19 = e14 & op1(e11, e10) = e14
% 244.49/48.58  | | 
% 244.49/48.58  | | ALPHA: (9) implies:
% 244.49/48.58  | |   (10)  all_25_19 = e14
% 244.49/48.58  | | 
% 244.49/48.58  | | COMBINE_EQS: (1), (10) imply:
% 244.49/48.58  | |   (11)  e14 = e12
% 244.49/48.58  | | 
% 244.49/48.58  | | REDUCE: (6), (11) imply:
% 244.49/48.58  | |   (12)  $false
% 244.49/48.58  | | 
% 244.49/48.58  | | CLOSE: (12) is inconsistent.
% 244.49/48.58  | | 
% 244.49/48.58  | End of split
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #469 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)   ~ (e14 = e10)
% 244.49/48.58    (2)  all_25_1 = e12
% 244.49/48.58    (3)  all_25_14 = e13
% 244.49/48.58    (4)   ~ (e14 = e11)
% 244.49/48.58    (5)  all_25_3 = e11
% 244.49/48.58    (6)  op1(e10, e13) = e13
% 244.49/48.58    (7)   ~ (e14 = e13)
% 244.49/48.58    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (9)  all_25_13 = e10
% 244.49/48.58    (10)  all_25_14 = e14 & op1(e11, e12) = e14
% 244.49/48.58    (11)  all_25_7 = e14
% 244.49/48.58    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (13)   ~ (e14 = e12)
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | ALPHA: (10) implies:
% 244.49/48.58  |   (14)  all_25_14 = e14
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (3), (14) imply:
% 244.49/48.58  |   (15)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | SIMP: (15) implies:
% 244.49/48.58  |   (16)  e14 = e13
% 244.49/48.58  | 
% 244.49/48.58  | COMBINE_EQS: (11), (16) imply:
% 244.49/48.58  |   (17)  all_25_7 = e13
% 244.49/48.58  | 
% 244.49/48.58  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (13), (17) are
% 244.49/48.58  |            inconsistent by sub-proof #1272.
% 244.49/48.58  | 
% 244.49/48.58  End of proof
% 244.49/48.58  
% 244.49/48.58  Sub-proof #470 shows that the following formulas are inconsistent:
% 244.49/48.58  ----------------------------------------------------------------
% 244.49/48.58    (1)   ~ (e14 = e10)
% 244.49/48.58    (2)  all_25_2 = e12
% 244.49/48.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.58    (4)  all_25_1 = e12
% 244.49/48.58    (5)  all_25_24 = e10
% 244.49/48.58    (6)   ~ (e12 = e11)
% 244.49/48.58    (7)   ~ (e14 = e11)
% 244.49/48.58    (8)  all_25_3 = e11
% 244.49/48.58    (9)  op1(e10, e13) = e13
% 244.49/48.58    (10)   ~ (e13 = e10)
% 244.49/48.58    (11)   ~ (e14 = e13)
% 244.49/48.58    (12)  op1(e13, unit1) = e13
% 244.49/48.58    (13)  all_25_12 = e14
% 244.49/48.58    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.58    (15)  all_25_13 = e10
% 244.49/48.58    (16)   ~ (e13 = e11)
% 244.49/48.58    (17)  op1(e13, e12) = e10
% 244.49/48.58    (18)   ~ (e11 = e10)
% 244.49/48.58    (19)   ~ (e13 = e12)
% 244.49/48.58    (20)  op1(e13, e13) = e11
% 244.49/48.58    (21)   ~ (all_14_19 = e14)
% 244.49/48.58    (22)  all_25_6 = e13
% 244.49/48.58    (23)   ~ (all_14_14 = e13)
% 244.49/48.58    (24)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.49/48.58            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.49/48.58            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.58    (25)  all_25_0 = e10
% 244.49/48.58    (26)  all_25_7 = e14
% 244.49/48.58    (27)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.49/48.58              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.49/48.58            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.58    (28)   ~ (all_14_19 = e13)
% 244.49/48.58    (29)  op1(e10, unit1) = e10
% 244.49/48.58    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.58    (31)  op1(unit1, e14) = e14
% 244.49/48.58    (32)   ~ (all_14_19 = e10)
% 244.49/48.58    (33)  op1(unit1, e12) = e12
% 244.49/48.58    (34)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.49/48.58              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.49/48.58            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.49/48.58    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.58    (36)  op1(e10, e11) = all_14_19
% 244.49/48.58    (37)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.58            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.58            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.58    (38)  op1(e10, e12) = all_14_14
% 244.49/48.58    (39)  op1(e13, e14) = e12
% 244.49/48.58    (40)   ~ (e14 = e12)
% 244.49/48.58    (41)  all_25_17 = e13
% 244.49/48.58  
% 244.49/48.58  Begin of proof
% 244.49/48.58  | 
% 244.49/48.58  | BETA: splitting (24) gives:
% 244.49/48.58  | 
% 244.49/48.58  | Case 1:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (42)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 244.49/48.58  | |             e14) = e11)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (42) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (43)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (18), (25), (43) are inconsistent by sub-proof #1222.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (44)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (2), (6), (44) are inconsistent by sub-proof #1189.
% 244.49/48.58  | | | 
% 244.49/48.58  | | End of split
% 244.49/48.58  | | 
% 244.49/48.58  | Case 2:
% 244.49/48.58  | | 
% 244.49/48.58  | |   (45)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 244.49/48.58  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.58  | | 
% 244.49/48.58  | | BETA: splitting (45) gives:
% 244.49/48.58  | | 
% 244.49/48.58  | | Case 1:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (46)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.49/48.58  | | | 
% 244.49/48.58  | | | REF_CLOSE: (16), (22), (46) are inconsistent by sub-proof #1188.
% 244.49/48.58  | | | 
% 244.49/48.58  | | Case 2:
% 244.49/48.58  | | | 
% 244.49/48.58  | | |   (47)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 244.49/48.58  | | |           op1(e10, e14) = e11)
% 244.49/48.58  | | | 
% 244.49/48.58  | | | BETA: splitting (47) gives:
% 244.49/48.58  | | | 
% 244.49/48.58  | | | Case 1:
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | |   (48)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | ALPHA: (48) implies:
% 244.49/48.58  | | | |   (49)  all_25_12 = e11
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | COMBINE_EQS: (13), (49) imply:
% 244.49/48.58  | | | |   (50)  e14 = e11
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | COMBINE_EQS: (26), (50) imply:
% 244.49/48.58  | | | |   (51)  all_25_7 = e11
% 244.49/48.58  | | | | 
% 244.49/48.58  | | | | REF_CLOSE: (1), (4), (7), (8), (9), (11), (14), (15), (37), (40), (51)
% 244.49/48.58  | | | |            are inconsistent by sub-proof #935.
% 244.49/48.58  | | | | 
% 244.49/48.59  | | | Case 2:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (52)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | ALPHA: (52) implies:
% 244.49/48.59  | | | |   (53)  all_25_20 = e11
% 244.49/48.59  | | | |   (54)  op1(e10, e14) = e11
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (12), (14),
% 244.49/48.59  | | | |            (16), (17), (19), (20), (21), (23), (27), (28), (29), (30),
% 244.49/48.59  | | | |            (31), (32), (33), (34), (35), (36), (38), (39), (40), (41),
% 244.49/48.59  | | | |            (53), (54) are inconsistent by sub-proof #947.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | End of split
% 244.49/48.59  | | | 
% 244.49/48.59  | | End of split
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #471 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)   ~ (e14 = e10)
% 244.49/48.59    (2)  all_25_2 = e12
% 244.49/48.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.59    (4)  all_25_1 = e12
% 244.49/48.59    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.59           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.59           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.59    (6)   ~ (e12 = e11)
% 244.49/48.59    (7)  all_25_13 = e12
% 244.49/48.59    (8)   ~ (e14 = e11)
% 244.49/48.59    (9)  all_25_3 = e11
% 244.49/48.59    (10)  op1(e10, e13) = e13
% 244.49/48.59    (11)   ~ (e13 = e10)
% 244.49/48.59    (12)   ~ (e14 = e13)
% 244.49/48.59    (13)  all_25_21 = e13
% 244.49/48.59    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (15)   ~ (e13 = e11)
% 244.49/48.59    (16)  op1(e13, e12) = e10
% 244.49/48.59    (17)   ~ (e11 = e10)
% 244.49/48.59    (18)   ~ (e13 = e12)
% 244.49/48.59    (19)  op1(e13, e13) = e11
% 244.49/48.59    (20)   ~ (e12 = e10)
% 244.49/48.59    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.59            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.59            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.59    (22)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.59            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.59            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.59    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.59    (24)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.59    (25)   ~ (e14 = e12)
% 244.49/48.59    (26)  all_25_17 = e13
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (22) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (27)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 244.49/48.59  | |             e13) = e10)
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (11), (12), (14), (15), (16),
% 244.49/48.59  | |            (17), (18), (19), (20), (21), (23), (25), (27) are inconsistent
% 244.49/48.59  | |            by sub-proof #1279.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (28)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 244.49/48.59  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.59  | | 
% 244.49/48.59  | | BETA: splitting (28) gives:
% 244.49/48.59  | | 
% 244.49/48.59  | | Case 1:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (29)  all_25_7 = e10 & op1(e12, e13) = e10
% 244.49/48.59  | | | 
% 244.49/48.59  | | | ALPHA: (29) implies:
% 244.49/48.59  | | |   (30)  all_25_7 = e10
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (1), (4), (7), (8), (9), (10), (12), (14), (24), (25), (30) are
% 244.49/48.59  | | |            inconsistent by sub-proof #1194.
% 244.49/48.59  | | | 
% 244.49/48.59  | | Case 2:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (31)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 244.49/48.59  | | |           op1(e10, e13) = e10)
% 244.49/48.59  | | | 
% 244.49/48.59  | | | BETA: splitting (31) gives:
% 244.49/48.59  | | | 
% 244.49/48.59  | | | Case 1:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (32)  all_25_13 = e10 & op1(e11, e13) = e10
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (11), (12), (14), (15),
% 244.49/48.59  | | | |            (16), (17), (18), (19), (20), (21), (23), (25), (32) are
% 244.49/48.59  | | | |            inconsistent by sub-proof #1193.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | Case 2:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (33)  all_25_21 = e10 & op1(e10, e13) = e10
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (1), (2), (3), (8), (9), (11), (12), (13), (14), (15), (16),
% 244.49/48.59  | | | |            (18), (19), (23), (25), (26), (33) are inconsistent by
% 244.49/48.59  | | | |            sub-proof #1256.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | End of split
% 244.49/48.59  | | | 
% 244.49/48.59  | | End of split
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #472 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_12 = e12
% 244.49/48.59    (2)   ~ (e14 = e10)
% 244.49/48.59    (3)  all_25_2 = e12
% 244.49/48.59    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.59    (5)  all_25_24 = e10
% 244.49/48.59    (6)   ~ (e12 = e11)
% 244.49/48.59    (7)   ~ (e14 = e11)
% 244.49/48.59    (8)  all_25_3 = e11
% 244.49/48.59    (9)   ~ (e13 = e10)
% 244.49/48.59    (10)   ~ (e14 = e13)
% 244.49/48.59    (11)  op1(e13, unit1) = e13
% 244.49/48.59    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (13)   ~ (e13 = e11)
% 244.49/48.59    (14)  op1(e13, e12) = e10
% 244.49/48.59    (15)   ~ (e11 = e10)
% 244.49/48.59    (16)   ~ (e13 = e12)
% 244.49/48.59    (17)  op1(e13, e13) = e11
% 244.49/48.59    (18)   ~ (all_14_19 = e14)
% 244.49/48.59    (19)  all_25_6 = e13
% 244.49/48.59    (20)   ~ (all_14_14 = e13)
% 244.49/48.59    (21)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 244.49/48.59            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 244.49/48.59            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.59    (22)  all_25_0 = e10
% 244.49/48.59    (23)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 244.49/48.59              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 244.49/48.59            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 244.49/48.59    (24)   ~ (all_14_19 = e13)
% 244.49/48.59    (25)  op1(e10, unit1) = e10
% 244.49/48.59    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 244.49/48.59    (27)  op1(unit1, e14) = e14
% 244.49/48.59    (28)   ~ (all_14_19 = e10)
% 244.49/48.59    (29)  op1(unit1, e12) = e12
% 244.49/48.59    (30)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 244.49/48.59              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 244.49/48.59            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 244.49/48.59    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.59    (32)  op1(e10, e11) = all_14_19
% 244.49/48.59    (33)  op1(e10, e12) = all_14_14
% 244.49/48.59    (34)  op1(e13, e14) = e12
% 244.49/48.59    (35)   ~ (e14 = e12)
% 244.49/48.59    (36)  all_25_17 = e13
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (21) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (37)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 244.49/48.59  | |             e14) = e11)
% 244.49/48.59  | | 
% 244.49/48.59  | | BETA: splitting (37) gives:
% 244.49/48.59  | | 
% 244.49/48.59  | | Case 1:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (38)  all_25_0 = e11 & op1(e14, e14) = e11
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (15), (22), (38) are inconsistent by sub-proof #1222.
% 244.49/48.59  | | | 
% 244.49/48.59  | | Case 2:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (39)  all_25_2 = e11 & op1(e13, e14) = e11
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (3), (6), (39) are inconsistent by sub-proof #1189.
% 244.49/48.59  | | | 
% 244.49/48.59  | | End of split
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (40)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 244.49/48.59  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 244.49/48.59  | | 
% 244.49/48.59  | | BETA: splitting (40) gives:
% 244.49/48.59  | | 
% 244.49/48.59  | | Case 1:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (41)  all_25_6 = e11 & op1(e12, e14) = e11
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (13), (19), (41) are inconsistent by sub-proof #1188.
% 244.49/48.59  | | | 
% 244.49/48.59  | | Case 2:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (42)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 244.49/48.59  | | |           op1(e10, e14) = e11)
% 244.49/48.59  | | | 
% 244.49/48.59  | | | BETA: splitting (42) gives:
% 244.49/48.59  | | | 
% 244.49/48.59  | | | Case 1:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (43)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (1), (6), (43) are inconsistent by sub-proof #473.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | Case 2:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (44)  all_25_20 = e11 & op1(e10, e14) = e11
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | ALPHA: (44) implies:
% 244.49/48.59  | | | |   (45)  all_25_20 = e11
% 244.49/48.59  | | | |   (46)  op1(e10, e14) = e11
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.49/48.59  | | | |            (13), (14), (16), (17), (18), (20), (23), (24), (25), (26),
% 244.49/48.59  | | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 244.49/48.59  | | | |            (45), (46) are inconsistent by sub-proof #947.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | End of split
% 244.49/48.59  | | | 
% 244.49/48.59  | | End of split
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #473 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_12 = e11 & op1(e11, e14) = e11
% 244.49/48.59    (2)  all_25_12 = e12
% 244.49/48.59    (3)   ~ (e12 = e11)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (1) implies:
% 244.49/48.59  |   (4)  all_25_12 = e11
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.59  |   (5)  e12 = e11
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (3), (5) imply:
% 244.49/48.59  |   (6)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (6) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #474 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)   ~ (e14 = e10)
% 244.49/48.59    (2)  all_25_1 = e12
% 244.49/48.59    (3)   ~ (e14 = e11)
% 244.49/48.59    (4)  all_25_3 = e11
% 244.49/48.59    (5)  op1(e10, e13) = e13
% 244.49/48.59    (6)   ~ (e14 = e13)
% 244.49/48.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (8)  all_25_13 = e10
% 244.49/48.59    (9)  all_25_10 = e14
% 244.49/48.59    (10)  all_25_7 = e14
% 244.49/48.59    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.59    (12)  all_25_10 = e11 & op1(e13, e11) = e11
% 244.49/48.59    (13)   ~ (e14 = e12)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (12) implies:
% 244.49/48.59  |   (14)  all_25_10 = e11
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (9), (14) imply:
% 244.49/48.59  |   (15)  e14 = e11
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (10), (15) imply:
% 244.49/48.59  |   (16)  all_25_7 = e11
% 244.49/48.59  | 
% 244.49/48.59  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (13), (16) are
% 244.49/48.59  |            inconsistent by sub-proof #935.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #475 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.49/48.59    (2)  all_25_9 = e13
% 244.49/48.59    (3)   ~ (e13 = e11)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (1) implies:
% 244.49/48.59  |   (4)  all_25_9 = e11
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.59  |   (5)  e13 = e11
% 244.49/48.59  | 
% 244.49/48.59  | SIMP: (5) implies:
% 244.49/48.59  |   (6)  e13 = e11
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (3), (6) imply:
% 244.49/48.59  |   (7)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (7) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #476 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_22 = e14 & op1(e10, e12) = e14
% 244.49/48.59    (2)  all_25_22 = e12
% 244.49/48.59    (3)   ~ (e14 = e12)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (1) implies:
% 244.49/48.59  |   (4)  all_25_22 = e14
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.59  |   (5)  e14 = e12
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (3), (5) imply:
% 244.49/48.59  |   (6)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (6) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #477 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_14 = e11 & op1(e11, e12) = e11
% 244.49/48.59    (2)  all_25_14 = e13
% 244.49/48.59    (3)   ~ (e13 = e11)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (1) implies:
% 244.49/48.59  |   (4)  all_25_14 = e11
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.59  |   (5)  e13 = e11
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (3), (5) imply:
% 244.49/48.59  |   (6)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (6) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #478 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_25_14 = e12 & op1(e11, e12) = e12
% 244.49/48.59    (2)  all_25_14 = e13
% 244.49/48.59    (3)   ~ (e13 = e12)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | ALPHA: (1) implies:
% 244.49/48.59  |   (4)  all_25_14 = e12
% 244.49/48.59  | 
% 244.49/48.59  | COMBINE_EQS: (2), (4) imply:
% 244.49/48.59  |   (5)  e13 = e12
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (3), (5) imply:
% 244.49/48.59  |   (6)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (6) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #479 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)   ~ (e14 = e10)
% 244.49/48.59    (2)  all_25_2 = e12
% 244.49/48.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.59    (4)  all_25_1 = e12
% 244.49/48.59    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.59           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.59           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.59    (6)   ~ (e12 = e11)
% 244.49/48.59    (7)   ~ (e14 = e11)
% 244.49/48.59    (8)  all_25_3 = e11
% 244.49/48.59    (9)  op1(e10, e13) = e13
% 244.49/48.59    (10)   ~ (e13 = e10)
% 244.49/48.59    (11)   ~ (e14 = e13)
% 244.49/48.59    (12)  all_25_21 = e13
% 244.49/48.59    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (14)   ~ (e13 = e11)
% 244.49/48.59    (15)  op1(e13, e12) = e10
% 244.49/48.59    (16)   ~ (e11 = e10)
% 244.49/48.59    (17)   ~ (all_14_3 = e13)
% 244.49/48.59    (18)   ~ (e13 = e12)
% 244.49/48.59    (19)  op1(e13, e13) = e11
% 244.49/48.59    (20)  op1(e11, e14) = all_14_3
% 244.49/48.59    (21)   ~ (e12 = e10)
% 244.49/48.59    (22)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.59            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.59            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.59    (23)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 244.49/48.59              e13) = e13)
% 244.49/48.59    (24)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.59            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.59            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.59    (25)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.59    (26)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.59    (27)   ~ (e14 = e12)
% 244.49/48.59    (28)  all_25_17 = e13
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (23) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (29)  all_25_12 = e13 & op1(e11, e14) = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (13), (17), (20), (29) are inconsistent by sub-proof #1033.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (30)  all_25_13 = e13 & op1(e11, e13) = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | ALPHA: (30) implies:
% 244.49/48.59  | |   (31)  all_25_13 = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.49/48.59  | |            (13), (14), (15), (16), (18), (19), (21), (22), (24), (25), (26),
% 244.49/48.59  | |            (27), (28), (31) are inconsistent by sub-proof #1247.
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #480 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)   ~ (e14 = e10)
% 244.49/48.59    (2)  all_25_2 = e12
% 244.49/48.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.59    (4)   ~ (e14 = e11)
% 244.49/48.59    (5)  all_25_3 = e11
% 244.49/48.59    (6)   ~ (e13 = e10)
% 244.49/48.59    (7)   ~ (e14 = e13)
% 244.49/48.59    (8)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13, e14)
% 244.49/48.59           = e13)
% 244.49/48.59    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (10)   ~ (e13 = e11)
% 244.49/48.59    (11)  op1(e13, e12) = e10
% 244.49/48.59    (12)   ~ (e13 = e12)
% 244.49/48.59    (13)  op1(e13, e13) = e11
% 244.49/48.59    (14)  all_25_0 = e10
% 244.49/48.59    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.59    (16)  op1(e13, e14) = e12
% 244.49/48.59    (17)   ~ (e14 = e12)
% 244.49/48.59    (18)  all_25_17 = e13
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (8) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (19)  all_25_0 = e13 & op1(e14, e14) = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | ALPHA: (19) implies:
% 244.49/48.59  | |   (20)  all_25_0 = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | COMBINE_EQS: (14), (20) imply:
% 244.49/48.59  | |   (21)  e13 = e10
% 244.49/48.59  | | 
% 244.49/48.59  | | SIMP: (21) implies:
% 244.49/48.59  | |   (22)  e13 = e10
% 244.49/48.59  | | 
% 244.49/48.59  | | COMBINE_EQS: (18), (22) imply:
% 244.49/48.59  | |   (23)  all_25_17 = e10
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 244.49/48.59  | |            (15), (17), (23) are inconsistent by sub-proof #1277.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (24)  all_25_2 = e13 & op1(e13, e14) = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | ALPHA: (24) implies:
% 244.49/48.59  | |   (25)  op1(e13, e14) = e13
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (9), (12), (16), (25) are inconsistent by sub-proof #1227.
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #481 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  all_20_9 = e21 | all_20_9 = e20
% 244.49/48.59    (2)  all_20_9 = all_16_21
% 244.49/48.59    (3)   ~ (all_16_21 = e21)
% 244.49/48.59    (4)   ~ (all_16_21 = e20)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (1) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (5)  all_20_9 = e21
% 244.49/48.59  | | 
% 244.49/48.59  | | COMBINE_EQS: (2), (5) imply:
% 244.49/48.59  | |   (6)  all_16_21 = e21
% 244.49/48.59  | | 
% 244.49/48.59  | | SIMP: (6) implies:
% 244.49/48.59  | |   (7)  all_16_21 = e21
% 244.49/48.59  | | 
% 244.49/48.59  | | REDUCE: (3), (7) imply:
% 244.49/48.59  | |   (8)  $false
% 244.49/48.59  | | 
% 244.49/48.59  | | CLOSE: (8) is inconsistent.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (9)  all_20_9 = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | COMBINE_EQS: (2), (9) imply:
% 244.49/48.59  | |   (10)  all_16_21 = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | SIMP: (10) implies:
% 244.49/48.59  | |   (11)  all_16_21 = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | REDUCE: (4), (11) imply:
% 244.49/48.59  | |   (12)  $false
% 244.49/48.59  | | 
% 244.49/48.59  | | CLOSE: (12) is inconsistent.
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #482 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  op2(e23, unit2) = e23
% 244.49/48.59    (2)  op2(e20, e24) = all_16_4
% 244.49/48.59    (3)  op2(e23, e21) = e24
% 244.49/48.59    (4)  op2(e20, unit2) = e20
% 244.49/48.59    (5)   ~ (all_16_9 = e23)
% 244.49/48.59    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.49/48.59    (7)   ~ (e23 = e20)
% 244.49/48.59    (8)   ~ (all_16_4 = e20)
% 244.49/48.59    (9)  op2(e23, e22) = e20
% 244.49/48.59    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.49/48.59    (11)  op2(e20, e23) = all_16_9
% 244.49/48.59    (12)   ~ (e24 = e23)
% 244.49/48.59    (13)  op2(e23, e21) = all_10_1
% 244.49/48.59    (14)  op2(unit2, e23) = e23
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (10) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (15)  unit2 = e24
% 244.49/48.59  | | 
% 244.49/48.59  | | REDUCE: (4), (15) imply:
% 244.49/48.59  | |   (16)  op2(e20, e24) = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (2), (6), (8), (16) are inconsistent by sub-proof #962.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (11), (12), (13), (14), (17) are
% 244.49/48.59  | |            inconsistent by sub-proof #483.
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #483 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  op2(e23, unit2) = e23
% 244.49/48.59    (2)  op2(e23, e21) = e24
% 244.49/48.59    (3)   ~ (all_16_9 = e23)
% 244.49/48.59    (4)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.49/48.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.49/48.59    (6)   ~ (e23 = e20)
% 244.49/48.59    (7)  op2(e23, e22) = e20
% 244.49/48.59    (8)  op2(e20, e23) = all_16_9
% 244.49/48.59    (9)   ~ (e24 = e23)
% 244.49/48.59    (10)  op2(e23, e21) = all_10_1
% 244.49/48.59    (11)  op2(unit2, e23) = e23
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (4) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (12)  unit2 = e22
% 244.49/48.59  | | 
% 244.49/48.59  | | REDUCE: (1), (12) imply:
% 244.49/48.59  | |   (13)  op2(e23, e22) = e23
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (5), (6), (7), (13) are inconsistent by sub-proof #1326.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (14)  unit2 = e21 | unit2 = e20
% 244.49/48.59  | | 
% 244.49/48.59  | | BETA: splitting (14) gives:
% 244.49/48.59  | | 
% 244.49/48.59  | | Case 1:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (15)  unit2 = e21
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REDUCE: (1), (15) imply:
% 244.49/48.59  | | |   (16)  op2(e23, e21) = e23
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (2), (5), (9), (10), (16) are inconsistent by sub-proof #957.
% 244.49/48.59  | | | 
% 244.49/48.59  | | Case 2:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (17)  unit2 = e20
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REDUCE: (11), (17) imply:
% 244.49/48.59  | | |   (18)  op2(e20, e23) = e23
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (3), (5), (8), (18) are inconsistent by sub-proof #484.
% 244.49/48.59  | | | 
% 244.49/48.59  | | End of split
% 244.49/48.59  | | 
% 244.49/48.59  | End of split
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #484 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.49/48.59    (2)  op2(e20, e23) = all_16_9
% 244.49/48.59    (3)  op2(e20, e23) = e23
% 244.49/48.59    (4)   ~ (all_16_9 = e23)
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | GROUND_INST: instantiating (1) with all_16_9, e23, e23, e20, simplifying with
% 244.49/48.59  |              (2), (3) gives:
% 244.49/48.59  |   (5)  all_16_9 = e23
% 244.49/48.59  | 
% 244.49/48.59  | REDUCE: (4), (5) imply:
% 244.49/48.59  |   (6)  $false
% 244.49/48.59  | 
% 244.49/48.59  | CLOSE: (6) is inconsistent.
% 244.49/48.59  | 
% 244.49/48.59  End of proof
% 244.49/48.59  
% 244.49/48.59  Sub-proof #485 shows that the following formulas are inconsistent:
% 244.49/48.59  ----------------------------------------------------------------
% 244.49/48.59    (1)  op1(e11, e10) = all_14_23
% 244.49/48.59    (2)   ~ (e14 = e10)
% 244.49/48.59    (3)  all_25_2 = e12
% 244.49/48.59    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.59    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 244.49/48.59           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.49/48.59           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 244.49/48.59    (6)  all_25_1 = e12
% 244.49/48.59    (7)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 244.49/48.59           = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.49/48.59           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.49/48.59    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.59           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.59           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.59    (9)   ~ (e12 = e11)
% 244.49/48.59    (10)   ~ (e14 = e11)
% 244.49/48.59    (11)  all_25_3 = e11
% 244.49/48.59    (12)  op1(e10, e13) = e13
% 244.49/48.59    (13)   ~ (e13 = e10)
% 244.49/48.59    (14)  op1(e11, e12) = all_14_13
% 244.49/48.59    (15)   ~ (e14 = e13)
% 244.49/48.59    (16)   ~ (all_14_15 = e12)
% 244.49/48.59    (17)  op1(e14, e11) = all_14_15
% 244.49/48.59    (18)  op1(e13, e11) = e14
% 244.49/48.59    (19)   ~ (all_14_23 = e13)
% 244.49/48.59    (20)  all_25_21 = e13
% 244.49/48.59    (21)  all_25_11 = e10
% 244.49/48.59    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.59    (23)   ~ (e13 = e11)
% 244.49/48.59    (24)  op1(e13, e12) = e10
% 244.49/48.59    (25)  all_25_12 = e13
% 244.49/48.59    (26)   ~ (e11 = e10)
% 244.49/48.59    (27)  all_25_9 = e13
% 244.49/48.59    (28)   ~ (e13 = e12)
% 244.49/48.59    (29)  op1(e13, e13) = e11
% 244.49/48.59    (30)   ~ (all_14_13 = e13)
% 244.49/48.59    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 244.49/48.59              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 244.49/48.59            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 244.49/48.59    (32)   ~ (e12 = e10)
% 244.49/48.59    (33)  all_25_10 = e14
% 244.49/48.59    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.59            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.59            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.59    (35)  op1(e11, e11) = all_14_18
% 244.49/48.59    (36)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.59            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.59            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.59    (37)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.59    (38)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.59    (39)   ~ (e14 = e12)
% 244.49/48.59    (40)  all_25_15 = e10
% 244.49/48.59    (41)   ~ (all_14_18 = e13)
% 244.49/48.59    (42)  all_25_17 = e13
% 244.49/48.59  
% 244.49/48.59  Begin of proof
% 244.49/48.59  | 
% 244.49/48.59  | BETA: splitting (7) gives:
% 244.49/48.59  | 
% 244.49/48.59  | Case 1:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (43)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 244.49/48.59  | |             e11) = e12)
% 244.49/48.59  | | 
% 244.49/48.59  | | REF_CLOSE: (16), (17), (18), (22), (39), (43) are inconsistent by sub-proof
% 244.49/48.59  | |            #1223.
% 244.49/48.59  | | 
% 244.49/48.59  | Case 2:
% 244.49/48.59  | | 
% 244.49/48.59  | |   (44)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 244.49/48.59  | |           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 244.49/48.59  | | 
% 244.49/48.59  | | BETA: splitting (44) gives:
% 244.49/48.59  | | 
% 244.49/48.59  | | Case 1:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (45)  all_25_11 = e12 & op1(e12, e11) = e12
% 244.49/48.59  | | | 
% 244.49/48.59  | | | REF_CLOSE: (2), (3), (4), (8), (9), (10), (13), (15), (21), (22), (23),
% 244.49/48.59  | | |            (24), (26), (28), (29), (32), (34), (37), (39), (45) are
% 244.49/48.59  | | |            inconsistent by sub-proof #943.
% 244.49/48.59  | | | 
% 244.49/48.59  | | Case 2:
% 244.49/48.59  | | | 
% 244.49/48.59  | | |   (46)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 244.49/48.59  | | |           op1(e10, e11) = e12)
% 244.49/48.59  | | | 
% 244.49/48.59  | | | BETA: splitting (46) gives:
% 244.49/48.59  | | | 
% 244.49/48.59  | | | Case 1:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (47)  all_25_15 = e12 & op1(e11, e11) = e12
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | REF_CLOSE: (2), (3), (4), (8), (9), (10), (13), (15), (22), (23), (24),
% 244.49/48.59  | | | |            (26), (28), (29), (32), (34), (37), (39), (40), (47) are
% 244.49/48.59  | | | |            inconsistent by sub-proof #1024.
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | Case 2:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | |   (48)  all_25_23 = e12 & op1(e10, e11) = e12
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | ALPHA: (48) implies:
% 244.49/48.59  | | | |   (49)  all_25_23 = e12
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | BETA: splitting (5) gives:
% 244.49/48.59  | | | | 
% 244.49/48.59  | | | | Case 1:
% 244.49/48.59  | | | | | 
% 244.49/48.59  | | | | |   (50)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 &
% 244.49/48.59  | | | | |           op1(e13, e11) = e11)
% 244.49/48.59  | | | | | 
% 244.49/48.59  | | | | | BETA: splitting (50) gives:
% 244.49/48.59  | | | | | 
% 244.49/48.59  | | | | | Case 1:
% 244.49/48.59  | | | | | | 
% 244.49/48.59  | | | | | |   (51)  all_25_9 = e11 & op1(e14, e11) = e11
% 244.49/48.59  | | | | | | 
% 244.49/48.60  | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12),
% 244.49/48.60  | | | | | |            (13), (14), (15), (19), (20), (22), (23), (24), (25),
% 244.49/48.60  | | | | | |            (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 244.49/48.60  | | | | | |            (36), (37), (38), (39), (41), (42), (51) are inconsistent
% 244.49/48.60  | | | | | |            by sub-proof #920.
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | Case 2:
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | |   (52)  all_25_10 = e11 & op1(e13, e11) = e11
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | | REF_CLOSE: (10), (33), (52) are inconsistent by sub-proof #984.
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | End of split
% 244.49/48.60  | | | | | 
% 244.49/48.60  | | | | Case 2:
% 244.49/48.60  | | | | | 
% 244.49/48.60  | | | | |   (53)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 244.49/48.60  | | | | |           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) =
% 244.49/48.60  | | | | |           e11)
% 244.49/48.60  | | | | | 
% 244.49/48.60  | | | | | BETA: splitting (53) gives:
% 244.49/48.60  | | | | | 
% 244.49/48.60  | | | | | Case 1:
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | |   (54)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | | REF_CLOSE: (21), (26), (54) are inconsistent by sub-proof #1112.
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | Case 2:
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | |   (55)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 &
% 244.49/48.60  | | | | | |           op1(e10, e11) = e11)
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | | REF_CLOSE: (9), (26), (40), (49), (55) are inconsistent by sub-proof
% 244.49/48.60  | | | | | |            #1016.
% 244.49/48.60  | | | | | | 
% 244.49/48.60  | | | | | End of split
% 244.49/48.60  | | | | | 
% 244.49/48.60  | | | | End of split
% 244.49/48.60  | | | | 
% 244.49/48.60  | | | End of split
% 244.49/48.60  | | | 
% 244.49/48.60  | | End of split
% 244.49/48.60  | | 
% 244.49/48.60  | End of split
% 244.49/48.60  | 
% 244.49/48.60  End of proof
% 244.49/48.60  
% 244.49/48.60  Sub-proof #486 shows that the following formulas are inconsistent:
% 244.49/48.60  ----------------------------------------------------------------
% 244.49/48.60    (1)   ~ (e14 = e10)
% 244.49/48.60    (2)  all_25_2 = e12
% 244.49/48.60    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.60    (4)   ~ (e14 = e11)
% 244.49/48.60    (5)  all_25_3 = e11
% 244.49/48.60    (6)   ~ (e13 = e10)
% 244.49/48.60    (7)   ~ (e14 = e13)
% 244.49/48.60    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.60    (9)   ~ (e13 = e11)
% 244.49/48.60    (10)  op1(e13, e12) = e10
% 244.49/48.60    (11)   ~ (e13 = e12)
% 244.49/48.60    (12)  op1(e13, e13) = e11
% 244.49/48.60    (13)  all_25_8 = e10 & op1(e12, e12) = e10
% 244.49/48.60    (14)  all_25_8 = e13
% 244.49/48.60    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.60    (16)   ~ (e14 = e12)
% 244.49/48.60    (17)  all_25_17 = e13
% 244.49/48.60  
% 244.49/48.60  Begin of proof
% 244.49/48.60  | 
% 244.49/48.60  | ALPHA: (13) implies:
% 244.49/48.60  |   (18)  all_25_8 = e10
% 244.49/48.60  | 
% 244.49/48.60  | COMBINE_EQS: (14), (18) imply:
% 244.49/48.60  |   (19)  e13 = e10
% 244.49/48.60  | 
% 244.49/48.60  | COMBINE_EQS: (17), (19) imply:
% 244.49/48.60  |   (20)  all_25_17 = e10
% 244.49/48.60  | 
% 244.49/48.60  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.49/48.60  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 244.49/48.60  | 
% 244.49/48.60  End of proof
% 244.49/48.60  
% 244.49/48.60  Sub-proof #487 shows that the following formulas are inconsistent:
% 244.49/48.60  ----------------------------------------------------------------
% 244.49/48.60    (1)   ~ (e12 = e11)
% 244.49/48.60    (2)  op1(e12, e10) = e12
% 244.49/48.60    (3)  all_25_11 = e10
% 244.49/48.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.60    (5)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12,
% 244.49/48.60             e10) = e11)
% 244.49/48.60    (6)   ~ (e11 = e10)
% 244.49/48.60  
% 244.49/48.60  Begin of proof
% 244.49/48.60  | 
% 244.49/48.60  | BETA: splitting (5) gives:
% 244.49/48.60  | 
% 244.49/48.60  | Case 1:
% 244.49/48.60  | | 
% 244.49/48.60  | |   (7)  all_25_11 = e11 & op1(e12, e11) = e11
% 244.49/48.60  | | 
% 244.49/48.60  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1112.
% 244.49/48.60  | | 
% 244.49/48.60  | Case 2:
% 244.49/48.60  | | 
% 244.49/48.60  | |   (8)  all_25_18 = e11 & op1(e12, e10) = e11
% 244.49/48.60  | | 
% 244.49/48.60  | | ALPHA: (8) implies:
% 244.49/48.60  | |   (9)  op1(e12, e10) = e11
% 244.49/48.60  | | 
% 244.49/48.60  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #926.
% 244.49/48.60  | | 
% 244.49/48.60  | End of split
% 244.49/48.60  | 
% 244.49/48.60  End of proof
% 244.49/48.60  
% 244.49/48.60  Sub-proof #488 shows that the following formulas are inconsistent:
% 244.49/48.60  ----------------------------------------------------------------
% 244.49/48.60    (1)  op1(e11, e10) = all_14_23
% 244.49/48.60    (2)   ~ (e14 = e10)
% 244.49/48.60    (3)  all_25_2 = e12
% 244.49/48.60    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 244.49/48.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 244.49/48.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 244.49/48.60    (5)  all_25_1 = e12
% 244.49/48.60    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 244.49/48.60           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 244.49/48.60           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 244.49/48.60    (7)   ~ (e12 = e11)
% 244.49/48.60    (8)   ~ (e14 = e11)
% 244.49/48.60    (9)  all_25_3 = e11
% 244.49/48.60    (10)  op1(e10, e13) = e13
% 244.49/48.60    (11)   ~ (e13 = e10)
% 244.49/48.60    (12)  op1(e11, e12) = all_14_13
% 244.49/48.60    (13)   ~ (e14 = e13)
% 244.49/48.60    (14)   ~ (all_14_23 = e13)
% 244.49/48.60    (15)  all_25_21 = e13
% 244.49/48.60    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.60    (17)   ~ (e13 = e11)
% 244.49/48.60    (18)  op1(e13, e12) = e10
% 244.49/48.60    (19)  all_25_12 = e13
% 244.49/48.60    (20)   ~ (e11 = e10)
% 244.49/48.60    (21)   ~ (e13 = e12)
% 244.49/48.60    (22)  op1(e13, e13) = e11
% 244.49/48.60    (23)  all_25_8 = e11 & op1(e12, e12) = e11
% 244.49/48.60    (24)   ~ (all_14_13 = e13)
% 244.49/48.60    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 244.49/48.60              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 244.49/48.60            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 244.49/48.60    (26)   ~ (e12 = e10)
% 244.49/48.60    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 244.49/48.60            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 244.49/48.60            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 244.49/48.60    (28)  op1(e11, e11) = all_14_18
% 244.49/48.60    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 244.49/48.60            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 244.49/48.60            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 244.49/48.60    (30)  all_25_8 = e13
% 244.49/48.60    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 244.49/48.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 244.49/48.60    (32)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 244.49/48.60            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 244.49/48.60            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 244.49/48.60    (33)   ~ (e14 = e12)
% 244.49/48.60    (34)   ~ (all_14_18 = e13)
% 244.49/48.60    (35)  all_25_17 = e13
% 244.49/48.60  
% 244.49/48.60  Begin of proof
% 244.49/48.60  | 
% 244.49/48.60  | ALPHA: (23) implies:
% 244.49/48.60  |   (36)  all_25_8 = e11
% 244.49/48.60  | 
% 244.49/48.60  | COMBINE_EQS: (30), (36) imply:
% 244.49/48.60  |   (37)  e13 = e11
% 244.49/48.60  | 
% 244.49/48.60  | COMBINE_EQS: (19), (37) imply:
% 244.49/48.60  |   (38)  all_25_12 = e11
% 244.49/48.60  | 
% 244.49/48.60  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.49/48.60  |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (24), (25),
% 244.49/48.60  |            (26), (27), (28), (29), (31), (32), (33), (34), (35), (38) are
% 244.49/48.60  |            inconsistent by sub-proof #949.
% 244.49/48.60  | 
% 244.49/48.60  End of proof
% 244.49/48.60  
% 244.49/48.60  Sub-proof #489 shows that the following formulas are inconsistent:
% 244.49/48.60  ----------------------------------------------------------------
% 244.49/48.60    (1)  op1(e12, e14) = e11
% 244.49/48.60    (2)  op1(e12, e12) = e13
% 244.49/48.60    (3)  op2(e24, e22) = all_16_10
% 244.49/48.60    (4)   ~ (all_16_10 = all_4_2)
% 244.49/48.60    (5)  op2(e24, e24) = all_12_2
% 244.49/48.60    (6)  op2(e23, e20) = e23
% 244.49/48.60    (7)  op2(e20, e23) = e23
% 244.49/48.60    (8)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.49/48.60           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.49/48.60           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.49/48.60    (9)   ~ (all_16_17 = all_6_2)
% 244.49/48.60    (10)  all_24_24 = e20
% 244.49/48.60    (11)   ~ (all_16_10 = e20)
% 244.49/48.60    (12)   ~ (all_16_3 = all_16_23)
% 244.49/48.60    (13)  op2(e22, all_4_2) = all_4_1
% 244.49/48.60    (14)  op1(e12, e13) = e14
% 244.49/48.60    (15)  all_20_12 = e24 | all_20_12 = e23 | all_20_12 = e22 | all_20_12 = e21 |
% 244.49/48.60          all_20_12 = e20
% 244.49/48.60    (16)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.49/48.60              e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.49/48.60            e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.49/48.60    (17)   ~ (all_16_3 = all_16_4)
% 244.49/48.60    (18)   ~ (all_16_17 = all_16_19)
% 244.49/48.60    (19)  all_20_12 = all_4_2
% 244.49/48.60    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h4(v2) = v1) | 
% 244.49/48.60            ~ (h4(v2) = v0))
% 244.49/48.60    (21)  op2(all_12_1, e24) = all_12_0
% 244.49/48.60    (22)   ~ (all_16_10 = all_16_20)
% 244.49/48.60    (23)   ~ (all_16_15 = all_12_2)
% 244.49/48.60    (24)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.49/48.60            = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.49/48.60            op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.49/48.60    (25)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.49/48.60            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.49/48.60            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.49/48.60    (26)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.49/48.60              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.49/48.60            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.49/48.60    (27)   ~ (all_16_20 = all_16_22)
% 244.49/48.60    (28)  op2(e22, unit2) = e22
% 244.49/48.60    (29)  op1(e10, e12) = e12
% 244.49/48.60    (30)   ~ (all_16_15 = e24)
% 244.49/48.60    (31)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.49/48.60              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.49/48.60            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.49/48.60    (32)  all_20_3 = all_16_15
% 244.49/48.60    (33)  op2(unit2, e24) = e24
% 244.49/48.60    (34)   ~ (all_16_2 = all_16_4)
% 244.49/48.60    (35)  all_20_15 = all_16_3
% 244.49/48.60    (36)  op2(e23, unit2) = e23
% 244.49/48.60    (37)  op2(e21, e22) = all_16_13
% 244.49/48.60    (38)  op1(e10, e11) = e11
% 244.49/48.60    (39)   ~ (all_16_4 = all_12_2)
% 244.49/48.60    (40)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.49/48.60              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.49/48.60            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.49/48.60    (41)  op1(e14, e12) = e11
% 244.49/48.60    (42)  op1(e12, e11) = e10
% 244.49/48.60    (43)   ~ (unit2 = e23)
% 244.49/48.60    (44)  op2(e20, e24) = all_16_4
% 244.49/48.60    (45)   ~ (all_16_14 = e23)
% 244.49/48.60    (46)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.49/48.60              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.49/48.60            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.49/48.60    (47)   ~ (all_16_14 = all_4_2)
% 244.49/48.60    (48)   ~ (all_16_22 = all_4_2)
% 244.49/48.60    (49)   ~ (e24 = e20)
% 244.49/48.60    (50)   ~ (all_16_20 = e23)
% 244.49/48.60    (51)   ~ (e23 = e21)
% 244.49/48.60    (52)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.49/48.60              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.49/48.60            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.49/48.60    (53)  op2(e23, e21) = e24
% 244.49/48.60    (54)   ~ (all_16_1 = e21)
% 244.49/48.60    (55)   ~ (all_16_19 = e20)
% 244.49/48.60    (56)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.49/48.60            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.49/48.60            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.49/48.60    (57)  op2(e23, e23) = e21
% 244.49/48.60    (58)   ~ (all_16_13 = all_6_2)
% 244.49/48.60    (59)  op2(e22, e20) = all_16_22
% 244.49/48.60    (60)  op1(e11, e13) = e10
% 244.49/48.60    (61)  op2(e20, e20) = e20
% 244.49/48.60    (62)  op2(e22, e24) = all_16_2
% 244.49/48.60    (63)  op1(e10, e13) = e13
% 244.49/48.60    (64)   ~ (all_16_4 = e23)
% 244.49/48.60    (65)   ~ (all_16_3 = all_12_2)
% 244.49/48.60    (66)  all_24_2 = e22
% 244.49/48.60    (67)  op1(e10, e14) = e14
% 244.49/48.60    (68)   ~ (e23 = e22)
% 244.49/48.60    (69)   ~ (all_16_7 = all_4_2)
% 244.49/48.60    (70)  op2(e20, unit2) = e20
% 244.49/48.60    (71)  h4(e13) = e23
% 244.49/48.60    (72)   ~ (all_16_3 = all_16_13)
% 244.49/48.60    (73)   ~ (e22 = e20)
% 244.49/48.60    (74)  op1(e12, e10) = e12
% 244.49/48.60    (75)   ~ (all_16_3 = e22)
% 244.49/48.60    (76)  op2(e21, e23) = all_16_8
% 244.49/48.60    (77)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.49/48.60            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.49/48.60            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.49/48.60    (78)   ~ (all_16_15 = all_16_19)
% 244.49/48.60    (79)   ~ (all_6_2 = e24)
% 244.49/48.60    (80)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.60            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.49/48.60    (81)  op2(unit2, e20) = e20
% 244.49/48.60    (82)   ~ (all_16_22 = all_16_23)
% 244.49/48.60    (83)   ~ (all_16_13 = e20)
% 244.49/48.60    (84)   ~ (all_16_8 = e21)
% 244.49/48.60    (85)  op2(e23, e24) = e22
% 244.49/48.60    (86)  all_24_21 = e23
% 244.49/48.60    (87)   ~ (all_16_22 = e20)
% 244.49/48.60    (88)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.49/48.60            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.49/48.60            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.49/48.60    (89)   ~ (e23 = e20)
% 244.49/48.60    (90)   ~ (all_16_23 = all_6_2)
% 244.49/48.60    (91)  op2(e24, all_12_2) = all_12_1
% 244.49/48.60    (92)   ~ (all_16_7 = e23)
% 244.49/48.60    (93)  op2(e24, e23) = e22
% 244.49/48.60    (94)  op1(e14, e10) = e14
% 244.49/48.60    (95)   ~ (all_16_2 = all_12_2)
% 244.49/48.60    (96)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.49/48.60              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.49/48.60            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.49/48.60    (97)  all_20_18 = all_6_2
% 244.49/48.60    (98)   ~ (all_16_2 = e22)
% 244.49/48.60    (99)   ~ (all_16_8 = all_16_23)
% 244.49/48.60    (100)  op1(e13, e11) = e14
% 244.49/48.60    (101)   ~ (all_16_10 = e22)
% 244.49/48.60    (102)   ~ (all_16_8 = all_16_13)
% 244.49/48.60    (103)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 & op2(e21,
% 244.49/48.60               e23) = e23) | (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15
% 244.49/48.60             = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 & op2(e21, e20) =
% 244.49/48.60             e23)
% 244.49/48.60    (104)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 244.49/48.60               e24) = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 =
% 244.49/48.60             e20 & op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.49/48.60    (105)   ~ (e24 = e21)
% 244.49/48.60    (106)  all_20_13 = all_16_17
% 244.49/48.60    (107)  op2(e20, e22) = all_16_14
% 244.49/48.60    (108)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.49/48.60               e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15
% 244.49/48.60             = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) =
% 244.49/48.60             e21)
% 244.49/48.60    (109)   ~ (all_16_4 = e20)
% 244.49/48.60    (110)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) = all_26_56 & h4(e14) =
% 244.49/48.60             all_26_96 & op2(all_26_96, all_26_96) = all_26_55 & op1(e14, e14) =
% 244.49/48.60             all_26_222 & $i(all_26_55) & $i(all_26_56) & $i(all_26_96) &
% 244.49/48.60             $i(all_26_222)) | ( ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 244.49/48.60             all_26_58 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.60             op2(all_26_96, all_26_99) = all_26_57 & op1(e14, e13) = all_26_225 &
% 244.49/48.60             $i(all_26_57) & $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.49/48.60             $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) & h4(all_26_228) =
% 244.49/48.60             all_26_60 & h4(e14) = all_26_96 & h4(e12) = all_26_102 &
% 244.49/48.60             op2(all_26_96, all_26_102) = all_26_59 & op1(e14, e12) = all_26_228 &
% 244.49/48.60             $i(all_26_59) & $i(all_26_60) & $i(all_26_96) & $i(all_26_102) &
% 244.49/48.60             $i(all_26_228)) | ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.49/48.60             all_26_62 & h4(e14) = all_26_96 & h4(e11) = all_26_105 &
% 244.49/48.60             op2(all_26_96, all_26_105) = all_26_61 & op1(e14, e11) = all_26_231 &
% 244.49/48.60             $i(all_26_61) & $i(all_26_62) & $i(all_26_96) & $i(all_26_105) &
% 244.49/48.60             $i(all_26_231)) | ( ~ (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.49/48.60             all_26_64 & h4(e14) = all_26_96 & h4(e10) = all_26_108 &
% 244.49/48.60             op2(all_26_96, all_26_108) = all_26_63 & op1(e14, e10) = all_26_234 &
% 244.49/48.60             $i(all_26_63) & $i(all_26_64) & $i(all_26_96) & $i(all_26_108) &
% 244.49/48.60             $i(all_26_234)) | ( ~ (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.49/48.60             all_26_66 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.60             op2(all_26_99, all_26_96) = all_26_65 & op1(e13, e14) = all_26_237 &
% 244.49/48.60             $i(all_26_65) & $i(all_26_66) & $i(all_26_96) & $i(all_26_99) &
% 244.49/48.60             $i(all_26_237)) | ( ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 244.49/48.60             all_26_68 & h4(e13) = all_26_99 & op2(all_26_99, all_26_99) =
% 244.49/48.60             all_26_67 & op1(e13, e13) = all_26_240 & $i(all_26_67) &
% 244.49/48.60             $i(all_26_68) & $i(all_26_99) & $i(all_26_240)) | ( ~ (all_26_69 =
% 244.49/48.60               all_26_70) & h4(all_26_243) = all_26_70 & h4(e13) = all_26_99 &
% 244.49/48.60             h4(e12) = all_26_102 & op2(all_26_99, all_26_102) = all_26_69 &
% 244.49/48.60             op1(e13, e12) = all_26_243 & $i(all_26_69) & $i(all_26_70) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_102) & $i(all_26_243)) | ( ~ (all_26_71 =
% 244.49/48.60               all_26_72) & h4(all_26_246) = all_26_72 & h4(e13) = all_26_99 &
% 244.49/48.60             h4(e11) = all_26_105 & op2(all_26_99, all_26_105) = all_26_71 &
% 244.49/48.60             op1(e13, e11) = all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_105) & $i(all_26_246)) | ( ~ (all_26_73 =
% 244.49/48.60               all_26_74) & h4(all_26_249) = all_26_74 & h4(e13) = all_26_99 &
% 244.49/48.60             h4(e10) = all_26_108 & op2(all_26_99, all_26_108) = all_26_73 &
% 244.49/48.60             op1(e13, e10) = all_26_249 & $i(all_26_73) & $i(all_26_74) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_108) & $i(all_26_249)) | ( ~ (all_26_75 =
% 244.49/48.60               all_26_76) & h4(all_26_252) = all_26_76 & h4(e14) = all_26_96 &
% 244.49/48.60             h4(e12) = all_26_102 & op2(all_26_102, all_26_96) = all_26_75 &
% 244.49/48.60             op1(e12, e14) = all_26_252 & $i(all_26_75) & $i(all_26_76) &
% 244.49/48.60             $i(all_26_96) & $i(all_26_102) & $i(all_26_252)) | ( ~ (all_26_77 =
% 244.49/48.60               all_26_78) & h4(all_26_255) = all_26_78 & h4(e13) = all_26_99 &
% 244.49/48.60             h4(e12) = all_26_102 & op2(all_26_102, all_26_99) = all_26_77 &
% 244.49/48.60             op1(e12, e13) = all_26_255 & $i(all_26_77) & $i(all_26_78) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_102) & $i(all_26_255)) | ( ~ (all_26_79 =
% 244.49/48.60               all_26_80) & h4(all_26_258) = all_26_80 & h4(e12) = all_26_102 &
% 244.49/48.60             op2(all_26_102, all_26_102) = all_26_79 & op1(e12, e12) = all_26_258
% 244.49/48.60             & $i(all_26_79) & $i(all_26_80) & $i(all_26_102) & $i(all_26_258)) |
% 244.49/48.60           ( ~ (all_26_81 = all_26_82) & h4(all_26_261) = all_26_82 & h4(e12) =
% 244.49/48.60             all_26_102 & h4(e11) = all_26_105 & op2(all_26_102, all_26_105) =
% 244.49/48.60             all_26_81 & op1(e12, e11) = all_26_261 & $i(all_26_81) &
% 244.49/48.60             $i(all_26_82) & $i(all_26_102) & $i(all_26_105) & $i(all_26_261)) | (
% 244.49/48.60             ~ (all_26_83 = all_26_84) & h4(all_26_264) = all_26_84 & h4(e12) =
% 244.49/48.60             all_26_102 & h4(e10) = all_26_108 & op2(all_26_102, all_26_108) =
% 244.49/48.60             all_26_83 & op1(e12, e10) = all_26_264 & $i(all_26_83) &
% 244.49/48.60             $i(all_26_84) & $i(all_26_102) & $i(all_26_108) & $i(all_26_264)) | (
% 244.49/48.60             ~ (all_26_85 = all_26_86) & h4(all_26_267) = all_26_86 & h4(e14) =
% 244.49/48.60             all_26_96 & h4(e11) = all_26_105 & op2(all_26_105, all_26_96) =
% 244.49/48.60             all_26_85 & op1(e11, e14) = all_26_267 & $i(all_26_85) &
% 244.49/48.60             $i(all_26_86) & $i(all_26_96) & $i(all_26_105) & $i(all_26_267)) | (
% 244.49/48.60             ~ (all_26_87 = all_26_88) & h4(all_26_270) = all_26_88 & h4(e13) =
% 244.49/48.60             all_26_99 & h4(e11) = all_26_105 & op2(all_26_105, all_26_99) =
% 244.49/48.60             all_26_87 & op1(e11, e13) = all_26_270 & $i(all_26_87) &
% 244.49/48.60             $i(all_26_88) & $i(all_26_99) & $i(all_26_105) & $i(all_26_270)) | (
% 244.49/48.60             ~ (all_26_89 = all_26_90) & h4(all_26_273) = all_26_90 & h4(e12) =
% 244.49/48.60             all_26_102 & h4(e11) = all_26_105 & op2(all_26_105, all_26_102) =
% 244.49/48.60             all_26_89 & op1(e11, e12) = all_26_273 & $i(all_26_89) &
% 244.49/48.60             $i(all_26_90) & $i(all_26_102) & $i(all_26_105) & $i(all_26_273)) | (
% 244.49/48.60             ~ (all_26_91 = all_26_92) & h4(all_26_276) = all_26_92 & h4(e11) =
% 244.49/48.60             all_26_105 & op2(all_26_105, all_26_105) = all_26_91 & op1(e11, e11)
% 244.49/48.60             = all_26_276 & $i(all_26_91) & $i(all_26_92) & $i(all_26_105) &
% 244.49/48.60             $i(all_26_276)) | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) &  ~
% 244.49/48.60             (all_26_102 = e24) &  ~ (all_26_105 = e24) &  ~ (all_26_108 = e24) &
% 244.49/48.60             h4(e14) = all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.49/48.60             h4(e11) = all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | (
% 244.49/48.60             ~ (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~ (all_26_102 = e23) & 
% 244.49/48.60             ~ (all_26_105 = e23) &  ~ (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.49/48.60             h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 244.49/48.60             h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102)
% 244.49/48.60             & $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e22) &  ~
% 244.49/48.60             (all_26_99 = e22) &  ~ (all_26_102 = e22) &  ~ (all_26_105 = e22) & 
% 244.49/48.60             ~ (all_26_108 = e22) & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.60             h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.49/48.60             $i(all_26_96) & $i(all_26_99) & $i(all_26_102) & $i(all_26_105) &
% 244.49/48.60             $i(all_26_108)) | ( ~ (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.49/48.60             (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~ (all_26_108 = e21) &
% 244.49/48.60             h4(e14) = all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.49/48.60             h4(e11) = all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) &
% 244.49/48.60             $i(all_26_99) & $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | (
% 244.49/48.60             ~ (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~ (all_26_102 = e20) & 
% 244.49/48.60             ~ (all_26_105 = e20) &  ~ (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.49/48.60             h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 244.49/48.60             h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102)
% 244.49/48.60             & $i(all_26_105) & $i(all_26_108)) | (h4(e10) = all_26_108 &
% 244.49/48.60             $i(all_26_108) & (( ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.49/48.60                 all_26_94 & h4(e11) = all_26_105 & op2(all_26_105, all_26_108) =
% 244.49/48.60                 all_26_93 & op1(e11, e10) = all_26_279 & $i(all_26_93) &
% 244.49/48.60                 $i(all_26_94) & $i(all_26_105) & $i(all_26_279)) | ( ~ (all_26_95
% 244.49/48.60                   = all_26_97) & h4(all_26_283) = all_26_97 & h4(e14) = all_26_96
% 244.49/48.60                 & op2(all_26_108, all_26_96) = all_26_95 & op1(e10, e14) =
% 244.49/48.60                 all_26_283 & $i(all_26_95) & $i(all_26_96) & $i(all_26_97) &
% 244.49/48.60                 $i(all_26_283)) | ( ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.49/48.60                 all_26_100 & h4(e13) = all_26_99 & op2(all_26_108, all_26_99) =
% 244.49/48.60                 all_26_98 & op1(e10, e13) = all_26_287 & $i(all_26_98) &
% 244.49/48.60                 $i(all_26_99) & $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.49/48.60                 (all_26_101 = all_26_103) & h4(all_26_291) = all_26_103 & h4(e12)
% 244.49/48.60                 = all_26_102 & op2(all_26_108, all_26_102) = all_26_101 &
% 244.49/48.60                 op1(e10, e12) = all_26_291 & $i(all_26_101) & $i(all_26_102) &
% 244.49/48.60                 $i(all_26_103) & $i(all_26_291)) | ( ~ (all_26_104 = all_26_106)
% 244.49/48.60                 & h4(all_26_295) = all_26_106 & h4(e11) = all_26_105 &
% 244.49/48.60                 op2(all_26_108, all_26_105) = all_26_104 & op1(e10, e11) =
% 244.49/48.60                 all_26_295 & $i(all_26_104) & $i(all_26_105) & $i(all_26_106) &
% 244.49/48.60                 $i(all_26_295)) | ( ~ (all_26_107 = all_26_109) & h4(all_26_299)
% 244.49/48.60                 = all_26_109 & op2(all_26_108, all_26_108) = all_26_107 &
% 244.49/48.60                 op1(e10, e10) = all_26_299 & $i(all_26_107) & $i(all_26_109) &
% 244.49/48.60                 $i(all_26_299))))
% 244.49/48.60    (111)  op2(e21, all_6_2) = all_6_1
% 244.49/48.60    (112)   ~ (all_16_20 = e20)
% 244.49/48.60    (113)   ~ (e22 = e21)
% 244.49/48.60    (114)   ~ (all_16_10 = all_16_15)
% 244.49/48.60    (115)  all_20_13 = e24 | all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21 |
% 244.49/48.60           all_20_13 = e20
% 244.49/48.60    (116)   ~ (all_16_2 = all_16_17)
% 244.49/48.60    (117)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 244.49/48.60               e23) = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 =
% 244.49/48.60             e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.49/48.60    (118)   ~ (all_16_1 = e20)
% 244.49/48.60    (119)   ~ (all_16_17 = e24)
% 244.49/48.60    (120)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5 = e23 & op2(e23,
% 244.49/48.60               e22) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_14 =
% 244.49/48.60             e23 & op2(e21, e22) = e23) | (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.49/48.60    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.60             (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.60    (122)  all_20_2 = all_16_10
% 244.49/48.60    (123)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.49/48.60               e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15
% 244.49/48.60             = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) =
% 244.49/48.60             e24)
% 244.49/48.60    (124)   ~ (all_4_2 = e20)
% 244.49/48.60    (125)  op1(e13, e12) = e10
% 244.49/48.60    (126)   ~ (all_16_13 = all_16_23)
% 244.49/48.60    (127)  op2(e24, unit2) = e24
% 244.49/48.60    (128)  h4(e11) = e21
% 244.49/48.60    (129)  op2(e23, e22) = e20
% 244.49/48.60    (130)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.49/48.60             op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.49/48.60               e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.49/48.60             $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 =
% 244.49/48.60               e22) &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2
% 244.49/48.60             & op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22,
% 244.49/48.60               e24) = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.49/48.60           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 244.49/48.60             op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.49/48.60               e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 244.49/48.60             $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 =
% 244.49/48.60               e20) &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6
% 244.49/48.60             & op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20,
% 244.49/48.60               e24) = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.49/48.60           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 244.49/48.60             op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.49/48.60               e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 244.49/48.60             $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 244.49/48.60               e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 244.49/48.60             & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.49/48.60               e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.49/48.60           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.49/48.60             op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 &
% 244.49/48.60             op2(e23, e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14)
% 244.49/48.60             & $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 244.49/48.60               e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 244.49/48.60             & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.49/48.60               e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.49/48.60           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.49/48.60             op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 &
% 244.49/48.60             op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18)
% 244.49/48.60             & $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 244.49/48.60               e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 244.49/48.60             op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 &
% 244.49/48.60             op2(e22, e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) &
% 244.49/48.60             $i(all_22_25)) | (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.49/48.60             (all_22_40 = all_22_41) & op2(all_22_41, e22) = all_22_26 &
% 244.49/48.60             op2(all_22_41, e21) = e22 & op2(e22, e21) = all_22_41 & op2(e21, e22)
% 244.49/48.60             = all_22_40 & $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.49/48.60           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~ (all_22_54 = all_22_55) &
% 244.49/48.60             op2(all_22_55, e22) = all_22_28 & op2(all_22_55, e20) = e22 &
% 244.49/48.60             op2(e22, e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_28)
% 244.49/48.60             & $i(all_22_54) & $i(all_22_55)) | (all_22_31 = e21 &  ~ (all_22_30 =
% 244.49/48.60               e24) &  ~ (all_22_32 = all_22_33) & op2(all_22_32, e24) = e21 &
% 244.49/48.60             op2(all_22_32, e21) = all_22_30 & op2(e24, e21) = all_22_33 &
% 244.49/48.60             op2(e21, e24) = all_22_32 & $i(all_22_30) & $i(all_22_32) &
% 244.49/48.60             $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.49/48.60             (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 & op2(all_22_36,
% 244.49/48.60               e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21, e23) =
% 244.49/48.60             all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.49/48.60           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 244.49/48.60             op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 &
% 244.49/48.60             op2(e22, e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38)
% 244.49/48.60             & $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 244.49/48.60               e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 244.49/48.60             & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.49/48.60               e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.49/48.60           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 244.49/48.60             op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 &
% 244.49/48.60             op2(e24, e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44)
% 244.49/48.60             & $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 244.49/48.60               e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 244.49/48.60             op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 &
% 244.49/48.60             op2(e20, e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) &
% 244.49/48.60             $i(all_22_51)) | (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.49/48.60             (all_22_54 = all_22_55) & op2(all_22_54, e22) = e20 & op2(all_22_54,
% 244.49/48.60               e20) = all_22_52 & op2(e22, e20) = all_22_55 & op2(e20, e22) =
% 244.49/48.60             all_22_54 & $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.49/48.60           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~ (all_22_58 = all_22_59) &
% 244.49/48.60             op2(all_22_58, e21) = e20 & op2(all_22_58, e20) = all_22_56 &
% 244.49/48.60             op2(e21, e20) = all_22_59 & op2(e20, e21) = all_22_58 & $i(all_22_56)
% 244.49/48.60             & $i(all_22_58) & $i(all_22_59))
% 244.49/48.60    (131)   ~ (all_16_10 = all_16_14)
% 244.49/48.60    (132)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 244.49/48.60               e22) = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 =
% 244.49/48.60             e22 & op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.49/48.60    (133)  all_20_14 = e24 | all_20_14 = e23 | all_20_14 = e22 | all_20_14 = e21 |
% 244.49/48.60           all_20_14 = e20
% 244.49/48.60    (134)   ~ (all_16_1 = e23)
% 244.49/48.60    (135)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.49/48.60               e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23
% 244.49/48.60             = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 244.49/48.60             e22)
% 244.49/48.60    (136)   ~ (all_16_20 = e22)
% 244.49/48.60    (137)   ~ (all_12_2 = e22)
% 244.49/48.60    (138)   ~ (all_16_8 = all_6_2)
% 244.49/48.60    (139)  op1(e11, e12) = e14
% 244.49/48.60    (140)   ~ (all_16_14 = e20)
% 244.49/48.60    (141)   ~ (all_16_2 = all_16_3)
% 244.49/48.60    (142)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.49/48.60               e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15
% 244.49/48.60             = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) =
% 244.49/48.60             e22)
% 244.49/48.60    (143)   ~ (all_16_15 = e22)
% 244.49/48.60    (144)   ~ (all_16_23 = e20)
% 244.49/48.60    (145)   ~ (all_16_4 = all_16_19)
% 244.49/48.60    (146)   ~ (all_16_2 = all_16_7)
% 244.49/48.61    (147)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23,
% 244.49/48.61               e24) = e23) | (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_12 =
% 244.49/48.61             e23 & op2(e21, e24) = e23) | (all_24_20 = e23 & op2(e20, e24) = e23)
% 244.49/48.61    (148)  op2(e24, e20) = all_16_20
% 244.49/48.61    (149)   ~ (all_16_19 = e23)
% 244.49/48.61    (150)   ~ (all_16_20 = all_12_2)
% 244.49/48.61    (151)  op1(e13, e13) = e11
% 244.49/48.61    (152)  all_24_1 = e22
% 244.49/48.61    (153)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.49/48.61               e23) = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 =
% 244.49/48.61             e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.49/48.61    (154)   ~ (all_16_19 = all_6_2)
% 244.49/48.61    (155)  op1(e14, e14) = e10
% 244.49/48.61    (156)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.49/48.61    (157)   ~ (all_16_17 = all_16_22)
% 244.49/48.61    (158)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 & op2(e23,
% 244.49/48.61               e21) = e23) | (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_15
% 244.49/48.61             = e23 & op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20, e21) =
% 244.49/48.61             e23)
% 244.49/48.61    (159)  all_20_14 = all_16_22
% 244.49/48.61    (160)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.49/48.61               e22) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 =
% 244.49/48.61             e24 & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.49/48.61    (161)   ~ (all_16_17 = all_4_2)
% 244.49/48.61    (162)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 & op2(e24,
% 244.49/48.61               e23) = e23) | (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 =
% 244.49/48.61             e23 & op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) = e23)
% 244.49/48.61    (163)  op2(e22, e21) = all_16_17
% 244.49/48.61    (164)  op2(all_6_1, e21) = all_6_0
% 244.49/48.61    (165)  all_20_18 = e24 | all_20_18 = e23 | all_20_18 = e22 | all_20_18 = e21 |
% 244.49/48.61           all_20_18 = e20
% 244.49/48.61    (166)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 244.49/48.61               e23) = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 =
% 244.49/48.61             e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.49/48.61    (167)   ~ (all_16_3 = all_6_2)
% 244.49/48.61    (168)   ~ (all_16_22 = e23)
% 244.49/48.61    (169)   ~ (all_16_8 = e23)
% 244.49/48.61    (170)  op2(e22, e23) = all_16_7
% 244.49/48.61    (171)   ~ (all_16_19 = e24)
% 244.49/48.61    (172)  op2(unit2, e22) = e22
% 244.49/48.61    (173)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.49/48.61               e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15
% 244.49/48.61             = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 244.49/48.61             e20)
% 244.49/48.61    (174)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22,
% 244.49/48.61               e23) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 =
% 244.49/48.61             e23 & op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.49/48.61    (175)  op2(e21, e21) = all_6_2
% 244.49/48.61    (176)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 244.49/48.61               e23) = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 =
% 244.49/48.61             e22 & op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.49/48.61    (177)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.49/48.61    (178)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 244.49/48.61               e23) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 =
% 244.49/48.61             e24 & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.49/48.61    (179)   ~ (all_16_15 = all_16_17)
% 244.49/48.61    (180)   ~ (all_16_4 = e22)
% 244.49/48.61    (181)  op1(e13, e10) = e13
% 244.49/48.61    (182)   ~ (all_16_7 = e22)
% 244.49/48.61    (183)   ~ (e21 = e20)
% 244.49/48.61    (184)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 244.49/48.61               e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 =
% 244.49/48.61             e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.49/48.61    (185)  op2(e24, e21) = all_16_15
% 244.49/48.61    (186)   ~ (all_16_7 = all_16_17)
% 244.49/48.61    (187)   ~ (e24 = e22)
% 244.49/48.61    (188)  op1(e11, e10) = e11
% 244.49/48.61    (189)  op2(e21, e24) = all_16_3
% 244.49/48.61    (190)  all_24_17 = e23
% 244.49/48.61    (191)  op2(e21, all_6_0) = all_6_3
% 244.49/48.61    (192)  op2(e23, e24) = all_16_1
% 244.49/48.61    (193)   ~ (all_16_23 = e23)
% 244.49/48.61    (194)   ~ (all_16_10 = all_12_2)
% 244.49/48.61    (195)   ~ (all_16_7 = e21)
% 244.49/48.61    (196)   ~ (e24 = e23)
% 244.49/48.61    (197)  op2(e23, e21) = all_10_1
% 244.49/48.61    (198)  h4(e14) = e24
% 244.49/48.61    (199)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 244.49/48.61               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 244.49/48.61             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.49/48.61    (200)  op2(all_4_1, e22) = all_4_0
% 244.49/48.61    (201)  op2(e21, unit2) = e21
% 244.49/48.61    (202)  op2(e22, e22) = all_4_2
% 244.49/48.61    (203)  op2(e20, e21) = all_16_19
% 244.49/48.61    (204)  h4(e10) = e20
% 244.49/48.61    (205)   ~ (all_16_8 = e22)
% 244.49/48.61    (206)  all_20_3 = e24 | all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e21 |
% 244.49/48.61           all_20_3 = e20
% 244.49/48.61    (207)   ~ (all_16_10 = all_16_13)
% 244.49/48.61    (208)  op1(e11, e11) = e12
% 244.49/48.61    (209)   ~ (all_16_20 = all_16_23)
% 244.49/48.61    (210)  all_20_5 = all_16_1
% 244.49/48.61    (211)  all_20_15 = e24 | all_20_15 = e23 | all_20_15 = e22 | all_20_15 = e21 |
% 244.49/48.61           all_20_15 = e20
% 244.49/48.61    (212)  op2(e21, e20) = all_16_23
% 244.49/48.61    (213)  op1(e11, e14) = e13
% 244.49/48.61    (214)  op1(e10, e10) = e10
% 244.49/48.61    (215)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 244.49/48.61               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 244.49/48.61             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.49/48.61    (216)  op1(e13, e14) = e12
% 244.49/48.61    (217)  all_20_2 = e24 | all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e21 |
% 244.49/48.61           all_20_2 = e20
% 244.49/48.61    (218)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.49/48.61               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 244.49/48.61             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.49/48.61    (219)   ~ (all_16_15 = all_6_2)
% 244.49/48.61    (220)  all_24_5 = e20
% 244.49/48.61    (221)   ~ (all_16_2 = all_16_22)
% 244.49/48.61    (222)   ~ (all_16_2 = all_4_2)
% 244.49/48.61    (223)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.49/48.61               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.49/48.61             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.49/48.61             e21)
% 244.49/48.61    (224)  op2(unit2, e21) = e21
% 244.49/48.61    (225)  op1(e14, e13) = e12
% 244.49/48.61    (226)  op1(e14, e11) = e13
% 244.49/48.61    (227)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.49/48.61               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.49/48.61             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.49/48.61    (228)   ~ (all_16_15 = all_16_20)
% 244.49/48.61    (229)  all_24_3 = e21
% 244.49/48.61    (230)   ~ (all_16_3 = all_16_8)
% 244.49/48.61    (231)  h4(e12) = e22
% 244.49/48.61    (232)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.49/48.61               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.49/48.61             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.49/48.61  
% 244.49/48.61  Begin of proof
% 244.49/48.61  | 
% 244.49/48.61  | BETA: splitting (133) gives:
% 244.49/48.61  | 
% 244.49/48.61  | Case 1:
% 244.49/48.61  | | 
% 244.49/48.61  | |   (233)  all_20_14 = e23
% 244.49/48.61  | | 
% 244.49/48.61  | | COMBINE_EQS: (159), (233) imply:
% 244.49/48.61  | |   (234)  all_16_22 = e23
% 244.49/48.61  | | 
% 244.49/48.61  | | REDUCE: (168), (234) imply:
% 244.49/48.61  | |   (235)  $false
% 244.49/48.61  | | 
% 244.49/48.61  | | CLOSE: (235) is inconsistent.
% 244.49/48.61  | | 
% 244.49/48.61  | Case 2:
% 244.49/48.61  | | 
% 244.49/48.61  | |   (236)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 =
% 244.49/48.61  | |          e20
% 244.49/48.61  | | 
% 244.49/48.61  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.49/48.61  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 244.49/48.61  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 244.49/48.61  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 244.49/48.61  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 244.49/48.61  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 244.49/48.61  | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 244.49/48.61  | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 244.49/48.61  | |            (90), (91), (92), (93), (94), (95), (96), (97), (98), (99),
% 244.49/48.61  | |            (100), (101), (102), (103), (104), (105), (106), (107), (108),
% 244.49/48.61  | |            (109), (110), (111), (112), (113), (114), (115), (116), (117),
% 244.49/48.61  | |            (118), (119), (120), (121), (122), (123), (124), (125), (126),
% 244.49/48.61  | |            (127), (128), (129), (130), (131), (132), (134), (135), (136),
% 244.49/48.61  | |            (137), (138), (139), (140), (141), (142), (143), (144), (145),
% 244.49/48.61  | |            (146), (147), (148), (149), (150), (151), (152), (153), (154),
% 244.49/48.61  | |            (155), (156), (157), (158), (159), (160), (161), (162), (163),
% 244.49/48.61  | |            (164), (165), (166), (167), (168), (169), (170), (171), (172),
% 244.49/48.61  | |            (173), (174), (175), (176), (177), (178), (179), (180), (181),
% 244.49/48.61  | |            (182), (183), (184), (185), (186), (187), (188), (189), (190),
% 244.49/48.61  | |            (191), (192), (193), (194), (195), (196), (197), (198), (199),
% 244.49/48.61  | |            (200), (201), (202), (203), (204), (205), (206), (207), (208),
% 244.49/48.61  | |            (209), (210), (211), (212), (213), (214), (215), (216), (217),
% 244.49/48.61  | |            (218), (219), (220), (221), (222), (223), (224), (225), (226),
% 244.49/48.61  | |            (227), (228), (229), (230), (231), (232), (236) are inconsistent
% 244.49/48.61  | |            by sub-proof #490.
% 244.49/48.61  | | 
% 244.49/48.61  | End of split
% 244.49/48.61  | 
% 244.49/48.61  End of proof
% 244.49/48.61  
% 244.49/48.61  Sub-proof #490 shows that the following formulas are inconsistent:
% 244.49/48.61  ----------------------------------------------------------------
% 244.49/48.61    (1)  op1(e12, e14) = e11
% 244.49/48.61    (2)  op1(e12, e12) = e13
% 244.49/48.61    (3)  op2(e24, e22) = all_16_10
% 244.49/48.61    (4)   ~ (all_16_10 = all_4_2)
% 244.49/48.61    (5)  op2(e24, e24) = all_12_2
% 244.49/48.61    (6)  op2(e23, e20) = e23
% 244.49/48.61    (7)  op2(e20, e23) = e23
% 244.49/48.61    (8)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.49/48.61           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.49/48.61           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.49/48.61    (9)   ~ (all_16_17 = all_6_2)
% 244.49/48.61    (10)  all_24_24 = e20
% 244.49/48.61    (11)   ~ (all_16_10 = e20)
% 244.49/48.61    (12)   ~ (all_16_3 = all_16_23)
% 244.49/48.61    (13)  op2(e22, all_4_2) = all_4_1
% 244.49/48.61    (14)  op1(e12, e13) = e14
% 244.49/48.61    (15)  all_20_12 = e24 | all_20_12 = e23 | all_20_12 = e22 | all_20_12 = e21 |
% 244.49/48.61          all_20_12 = e20
% 244.49/48.61    (16)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.49/48.61              e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.49/48.61            e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.49/48.61    (17)   ~ (all_16_3 = all_16_4)
% 244.49/48.61    (18)   ~ (all_16_17 = all_16_19)
% 244.49/48.61    (19)  all_20_12 = all_4_2
% 244.49/48.61    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (h4(v2) = v1) | 
% 244.49/48.61            ~ (h4(v2) = v0))
% 244.49/48.61    (21)  op2(all_12_1, e24) = all_12_0
% 244.49/48.61    (22)   ~ (all_16_10 = all_16_20)
% 244.49/48.61    (23)   ~ (all_16_15 = all_12_2)
% 244.49/48.61    (24)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.49/48.61            = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.49/48.61            op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.49/48.61    (25)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.49/48.61            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.49/48.61            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.49/48.61    (26)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.49/48.61              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.49/48.61            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.49/48.61    (27)   ~ (all_16_20 = all_16_22)
% 244.49/48.61    (28)  op2(e22, unit2) = e22
% 244.49/48.61    (29)  op1(e10, e12) = e12
% 244.49/48.61    (30)   ~ (all_16_15 = e24)
% 244.49/48.61    (31)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.49/48.61              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.49/48.61            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.49/48.61    (32)  all_20_3 = all_16_15
% 244.49/48.61    (33)  op2(unit2, e24) = e24
% 244.49/48.61    (34)   ~ (all_16_2 = all_16_4)
% 244.49/48.61    (35)  all_20_15 = all_16_3
% 244.49/48.61    (36)  op2(e23, unit2) = e23
% 244.49/48.61    (37)  op2(e21, e22) = all_16_13
% 244.49/48.61    (38)  op1(e10, e11) = e11
% 244.49/48.61    (39)   ~ (all_16_4 = all_12_2)
% 244.49/48.61    (40)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.49/48.61              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.49/48.61            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.49/48.61    (41)  op1(e14, e12) = e11
% 244.49/48.61    (42)  op1(e12, e11) = e10
% 244.49/48.61    (43)   ~ (unit2 = e23)
% 244.49/48.61    (44)  op2(e20, e24) = all_16_4
% 244.49/48.61    (45)   ~ (all_16_14 = e23)
% 244.49/48.61    (46)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.49/48.61              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.49/48.61            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.49/48.61    (47)   ~ (all_16_14 = all_4_2)
% 244.49/48.61    (48)   ~ (all_16_22 = all_4_2)
% 244.49/48.61    (49)   ~ (e24 = e20)
% 244.49/48.61    (50)   ~ (all_16_20 = e23)
% 244.49/48.61    (51)   ~ (e23 = e21)
% 244.49/48.61    (52)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.49/48.61              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.49/48.61            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.49/48.61    (53)  op2(e23, e21) = e24
% 244.49/48.61    (54)   ~ (all_16_1 = e21)
% 244.49/48.61    (55)   ~ (all_16_19 = e20)
% 244.49/48.61    (56)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.49/48.61            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.49/48.61            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.49/48.61    (57)  op2(e23, e23) = e21
% 244.49/48.61    (58)   ~ (all_16_13 = all_6_2)
% 244.49/48.61    (59)  op2(e22, e20) = all_16_22
% 244.49/48.61    (60)  op1(e11, e13) = e10
% 244.49/48.61    (61)  op2(e20, e20) = e20
% 244.49/48.61    (62)  op2(e22, e24) = all_16_2
% 244.49/48.61    (63)  op1(e10, e13) = e13
% 244.49/48.61    (64)   ~ (all_16_4 = e23)
% 244.49/48.61    (65)   ~ (all_16_3 = all_12_2)
% 244.49/48.61    (66)  all_24_2 = e22
% 244.49/48.61    (67)  op1(e10, e14) = e14
% 244.49/48.61    (68)   ~ (e23 = e22)
% 244.49/48.61    (69)   ~ (all_16_7 = all_4_2)
% 244.49/48.61    (70)  op2(e20, unit2) = e20
% 244.49/48.61    (71)  h4(e13) = e23
% 244.49/48.61    (72)   ~ (all_16_3 = all_16_13)
% 244.49/48.61    (73)   ~ (e22 = e20)
% 244.49/48.61    (74)  op1(e12, e10) = e12
% 244.49/48.61    (75)   ~ (all_16_3 = e22)
% 244.49/48.61    (76)  op2(e21, e23) = all_16_8
% 244.49/48.61    (77)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.49/48.61            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.49/48.61            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.49/48.61    (78)   ~ (all_16_15 = all_16_19)
% 244.49/48.61    (79)   ~ (all_6_2 = e24)
% 244.49/48.61    (80)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.61            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.49/48.61    (81)  op2(unit2, e20) = e20
% 244.49/48.61    (82)   ~ (all_16_22 = all_16_23)
% 244.49/48.61    (83)   ~ (all_16_13 = e20)
% 244.49/48.61    (84)   ~ (all_16_8 = e21)
% 244.49/48.61    (85)  op2(e23, e24) = e22
% 244.49/48.61    (86)  all_24_21 = e23
% 244.49/48.61    (87)   ~ (all_16_22 = e20)
% 244.49/48.61    (88)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.49/48.61            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.49/48.61            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.49/48.61    (89)   ~ (e23 = e20)
% 244.49/48.61    (90)   ~ (all_16_23 = all_6_2)
% 244.49/48.61    (91)  op2(e24, all_12_2) = all_12_1
% 244.49/48.61    (92)   ~ (all_16_7 = e23)
% 244.49/48.61    (93)  op2(e24, e23) = e22
% 244.49/48.61    (94)  op1(e14, e10) = e14
% 244.49/48.61    (95)   ~ (all_16_2 = all_12_2)
% 244.49/48.61    (96)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.49/48.61              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.49/48.61            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.49/48.61    (97)  all_20_18 = all_6_2
% 244.49/48.61    (98)   ~ (all_16_2 = e22)
% 244.49/48.61    (99)   ~ (all_16_8 = all_16_23)
% 244.49/48.61    (100)  op1(e13, e11) = e14
% 244.49/48.61    (101)   ~ (all_16_10 = e22)
% 244.49/48.61    (102)   ~ (all_16_8 = all_16_13)
% 244.49/48.61    (103)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 & op2(e21,
% 244.49/48.61               e23) = e23) | (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15
% 244.49/48.61             = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 & op2(e21, e20) =
% 244.49/48.61             e23)
% 244.49/48.61    (104)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 244.49/48.61               e24) = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 =
% 244.49/48.61             e20 & op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.49/48.61    (105)   ~ (e24 = e21)
% 244.49/48.61    (106)  all_20_13 = all_16_17
% 244.49/48.61    (107)  op2(e20, e22) = all_16_14
% 244.49/48.61    (108)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.49/48.61               e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15
% 244.49/48.61             = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) =
% 244.49/48.61             e21)
% 244.49/48.61    (109)   ~ (all_16_4 = e20)
% 244.49/48.61    (110)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) = all_26_56 & h4(e14) =
% 244.49/48.61             all_26_96 & op2(all_26_96, all_26_96) = all_26_55 & op1(e14, e14) =
% 244.49/48.61             all_26_222 & $i(all_26_55) & $i(all_26_56) & $i(all_26_96) &
% 244.49/48.61             $i(all_26_222)) | ( ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 244.49/48.61             all_26_58 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.61             op2(all_26_96, all_26_99) = all_26_57 & op1(e14, e13) = all_26_225 &
% 244.49/48.61             $i(all_26_57) & $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.49/48.61             $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) & h4(all_26_228) =
% 244.49/48.61             all_26_60 & h4(e14) = all_26_96 & h4(e12) = all_26_102 &
% 244.49/48.61             op2(all_26_96, all_26_102) = all_26_59 & op1(e14, e12) = all_26_228 &
% 244.49/48.61             $i(all_26_59) & $i(all_26_60) & $i(all_26_96) & $i(all_26_102) &
% 244.49/48.61             $i(all_26_228)) | ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.49/48.61             all_26_62 & h4(e14) = all_26_96 & h4(e11) = all_26_105 &
% 244.49/48.61             op2(all_26_96, all_26_105) = all_26_61 & op1(e14, e11) = all_26_231 &
% 244.49/48.61             $i(all_26_61) & $i(all_26_62) & $i(all_26_96) & $i(all_26_105) &
% 244.49/48.61             $i(all_26_231)) | ( ~ (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.49/48.61             all_26_64 & h4(e14) = all_26_96 & h4(e10) = all_26_108 &
% 244.49/48.61             op2(all_26_96, all_26_108) = all_26_63 & op1(e14, e10) = all_26_234 &
% 244.49/48.61             $i(all_26_63) & $i(all_26_64) & $i(all_26_96) & $i(all_26_108) &
% 244.49/48.61             $i(all_26_234)) | ( ~ (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.49/48.61             all_26_66 & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.61             op2(all_26_99, all_26_96) = all_26_65 & op1(e13, e14) = all_26_237 &
% 244.49/48.61             $i(all_26_65) & $i(all_26_66) & $i(all_26_96) & $i(all_26_99) &
% 244.49/48.61             $i(all_26_237)) | ( ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 244.49/48.61             all_26_68 & h4(e13) = all_26_99 & op2(all_26_99, all_26_99) =
% 244.49/48.61             all_26_67 & op1(e13, e13) = all_26_240 & $i(all_26_67) &
% 244.49/48.61             $i(all_26_68) & $i(all_26_99) & $i(all_26_240)) | ( ~ (all_26_69 =
% 244.49/48.61               all_26_70) & h4(all_26_243) = all_26_70 & h4(e13) = all_26_99 &
% 244.49/48.61             h4(e12) = all_26_102 & op2(all_26_99, all_26_102) = all_26_69 &
% 244.49/48.61             op1(e13, e12) = all_26_243 & $i(all_26_69) & $i(all_26_70) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_102) & $i(all_26_243)) | ( ~ (all_26_71 =
% 244.49/48.61               all_26_72) & h4(all_26_246) = all_26_72 & h4(e13) = all_26_99 &
% 244.49/48.61             h4(e11) = all_26_105 & op2(all_26_99, all_26_105) = all_26_71 &
% 244.49/48.61             op1(e13, e11) = all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_105) & $i(all_26_246)) | ( ~ (all_26_73 =
% 244.49/48.61               all_26_74) & h4(all_26_249) = all_26_74 & h4(e13) = all_26_99 &
% 244.49/48.61             h4(e10) = all_26_108 & op2(all_26_99, all_26_108) = all_26_73 &
% 244.49/48.61             op1(e13, e10) = all_26_249 & $i(all_26_73) & $i(all_26_74) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_108) & $i(all_26_249)) | ( ~ (all_26_75 =
% 244.49/48.61               all_26_76) & h4(all_26_252) = all_26_76 & h4(e14) = all_26_96 &
% 244.49/48.61             h4(e12) = all_26_102 & op2(all_26_102, all_26_96) = all_26_75 &
% 244.49/48.61             op1(e12, e14) = all_26_252 & $i(all_26_75) & $i(all_26_76) &
% 244.49/48.61             $i(all_26_96) & $i(all_26_102) & $i(all_26_252)) | ( ~ (all_26_77 =
% 244.49/48.61               all_26_78) & h4(all_26_255) = all_26_78 & h4(e13) = all_26_99 &
% 244.49/48.61             h4(e12) = all_26_102 & op2(all_26_102, all_26_99) = all_26_77 &
% 244.49/48.61             op1(e12, e13) = all_26_255 & $i(all_26_77) & $i(all_26_78) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_102) & $i(all_26_255)) | ( ~ (all_26_79 =
% 244.49/48.61               all_26_80) & h4(all_26_258) = all_26_80 & h4(e12) = all_26_102 &
% 244.49/48.61             op2(all_26_102, all_26_102) = all_26_79 & op1(e12, e12) = all_26_258
% 244.49/48.61             & $i(all_26_79) & $i(all_26_80) & $i(all_26_102) & $i(all_26_258)) |
% 244.49/48.61           ( ~ (all_26_81 = all_26_82) & h4(all_26_261) = all_26_82 & h4(e12) =
% 244.49/48.61             all_26_102 & h4(e11) = all_26_105 & op2(all_26_102, all_26_105) =
% 244.49/48.61             all_26_81 & op1(e12, e11) = all_26_261 & $i(all_26_81) &
% 244.49/48.61             $i(all_26_82) & $i(all_26_102) & $i(all_26_105) & $i(all_26_261)) | (
% 244.49/48.61             ~ (all_26_83 = all_26_84) & h4(all_26_264) = all_26_84 & h4(e12) =
% 244.49/48.61             all_26_102 & h4(e10) = all_26_108 & op2(all_26_102, all_26_108) =
% 244.49/48.61             all_26_83 & op1(e12, e10) = all_26_264 & $i(all_26_83) &
% 244.49/48.61             $i(all_26_84) & $i(all_26_102) & $i(all_26_108) & $i(all_26_264)) | (
% 244.49/48.61             ~ (all_26_85 = all_26_86) & h4(all_26_267) = all_26_86 & h4(e14) =
% 244.49/48.61             all_26_96 & h4(e11) = all_26_105 & op2(all_26_105, all_26_96) =
% 244.49/48.61             all_26_85 & op1(e11, e14) = all_26_267 & $i(all_26_85) &
% 244.49/48.61             $i(all_26_86) & $i(all_26_96) & $i(all_26_105) & $i(all_26_267)) | (
% 244.49/48.61             ~ (all_26_87 = all_26_88) & h4(all_26_270) = all_26_88 & h4(e13) =
% 244.49/48.61             all_26_99 & h4(e11) = all_26_105 & op2(all_26_105, all_26_99) =
% 244.49/48.61             all_26_87 & op1(e11, e13) = all_26_270 & $i(all_26_87) &
% 244.49/48.61             $i(all_26_88) & $i(all_26_99) & $i(all_26_105) & $i(all_26_270)) | (
% 244.49/48.61             ~ (all_26_89 = all_26_90) & h4(all_26_273) = all_26_90 & h4(e12) =
% 244.49/48.61             all_26_102 & h4(e11) = all_26_105 & op2(all_26_105, all_26_102) =
% 244.49/48.61             all_26_89 & op1(e11, e12) = all_26_273 & $i(all_26_89) &
% 244.49/48.61             $i(all_26_90) & $i(all_26_102) & $i(all_26_105) & $i(all_26_273)) | (
% 244.49/48.61             ~ (all_26_91 = all_26_92) & h4(all_26_276) = all_26_92 & h4(e11) =
% 244.49/48.61             all_26_105 & op2(all_26_105, all_26_105) = all_26_91 & op1(e11, e11)
% 244.49/48.61             = all_26_276 & $i(all_26_91) & $i(all_26_92) & $i(all_26_105) &
% 244.49/48.61             $i(all_26_276)) | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) &  ~
% 244.49/48.61             (all_26_102 = e24) &  ~ (all_26_105 = e24) &  ~ (all_26_108 = e24) &
% 244.49/48.61             h4(e14) = all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.49/48.61             h4(e11) = all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | (
% 244.49/48.61             ~ (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~ (all_26_102 = e23) & 
% 244.49/48.61             ~ (all_26_105 = e23) &  ~ (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.49/48.61             h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 244.49/48.61             h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102)
% 244.49/48.61             & $i(all_26_105) & $i(all_26_108)) | ( ~ (all_26_96 = e22) &  ~
% 244.49/48.61             (all_26_99 = e22) &  ~ (all_26_102 = e22) &  ~ (all_26_105 = e22) & 
% 244.49/48.61             ~ (all_26_108 = e22) & h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.49/48.61             h4(e12) = all_26_102 & h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.49/48.61             $i(all_26_96) & $i(all_26_99) & $i(all_26_102) & $i(all_26_105) &
% 244.49/48.61             $i(all_26_108)) | ( ~ (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.49/48.61             (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~ (all_26_108 = e21) &
% 244.49/48.61             h4(e14) = all_26_96 & h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.49/48.61             h4(e11) = all_26_105 & h4(e10) = all_26_108 & $i(all_26_96) &
% 244.49/48.61             $i(all_26_99) & $i(all_26_102) & $i(all_26_105) & $i(all_26_108)) | (
% 244.49/48.61             ~ (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~ (all_26_102 = e20) & 
% 244.49/48.61             ~ (all_26_105 = e20) &  ~ (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.49/48.61             h4(e13) = all_26_99 & h4(e12) = all_26_102 & h4(e11) = all_26_105 &
% 244.49/48.61             h4(e10) = all_26_108 & $i(all_26_96) & $i(all_26_99) & $i(all_26_102)
% 244.49/48.61             & $i(all_26_105) & $i(all_26_108)) | (h4(e10) = all_26_108 &
% 244.49/48.61             $i(all_26_108) & (( ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.49/48.61                 all_26_94 & h4(e11) = all_26_105 & op2(all_26_105, all_26_108) =
% 244.49/48.61                 all_26_93 & op1(e11, e10) = all_26_279 & $i(all_26_93) &
% 244.49/48.61                 $i(all_26_94) & $i(all_26_105) & $i(all_26_279)) | ( ~ (all_26_95
% 244.49/48.61                   = all_26_97) & h4(all_26_283) = all_26_97 & h4(e14) = all_26_96
% 244.49/48.61                 & op2(all_26_108, all_26_96) = all_26_95 & op1(e10, e14) =
% 244.49/48.61                 all_26_283 & $i(all_26_95) & $i(all_26_96) & $i(all_26_97) &
% 244.49/48.61                 $i(all_26_283)) | ( ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.49/48.61                 all_26_100 & h4(e13) = all_26_99 & op2(all_26_108, all_26_99) =
% 244.49/48.61                 all_26_98 & op1(e10, e13) = all_26_287 & $i(all_26_98) &
% 244.49/48.61                 $i(all_26_99) & $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.49/48.61                 (all_26_101 = all_26_103) & h4(all_26_291) = all_26_103 & h4(e12)
% 244.49/48.61                 = all_26_102 & op2(all_26_108, all_26_102) = all_26_101 &
% 244.49/48.61                 op1(e10, e12) = all_26_291 & $i(all_26_101) & $i(all_26_102) &
% 244.49/48.61                 $i(all_26_103) & $i(all_26_291)) | ( ~ (all_26_104 = all_26_106)
% 244.49/48.61                 & h4(all_26_295) = all_26_106 & h4(e11) = all_26_105 &
% 244.49/48.61                 op2(all_26_108, all_26_105) = all_26_104 & op1(e10, e11) =
% 244.49/48.61                 all_26_295 & $i(all_26_104) & $i(all_26_105) & $i(all_26_106) &
% 244.49/48.61                 $i(all_26_295)) | ( ~ (all_26_107 = all_26_109) & h4(all_26_299)
% 244.49/48.61                 = all_26_109 & op2(all_26_108, all_26_108) = all_26_107 &
% 244.49/48.61                 op1(e10, e10) = all_26_299 & $i(all_26_107) & $i(all_26_109) &
% 244.49/48.61                 $i(all_26_299))))
% 244.49/48.61    (111)  op2(e21, all_6_2) = all_6_1
% 244.49/48.61    (112)   ~ (all_16_20 = e20)
% 244.49/48.61    (113)   ~ (e22 = e21)
% 244.49/48.61    (114)   ~ (all_16_10 = all_16_15)
% 244.49/48.61    (115)  all_20_13 = e24 | all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21 |
% 244.49/48.61           all_20_13 = e20
% 244.49/48.61    (116)   ~ (all_16_2 = all_16_17)
% 244.49/48.61    (117)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 244.49/48.61               e23) = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 =
% 244.49/48.61             e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.49/48.61    (118)   ~ (all_16_1 = e20)
% 244.49/48.61    (119)   ~ (all_16_17 = e24)
% 244.49/48.61    (120)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5 = e23 & op2(e23,
% 244.49/48.61               e22) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_14 =
% 244.49/48.61             e23 & op2(e21, e22) = e23) | (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.49/48.61    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.49/48.61             (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 244.49/48.61    (122)  all_20_2 = all_16_10
% 244.49/48.61    (123)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.49/48.61               e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15
% 244.49/48.61             = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) =
% 244.49/48.61             e24)
% 244.49/48.61    (124)   ~ (all_4_2 = e20)
% 244.49/48.61    (125)  op1(e13, e12) = e10
% 244.49/48.61    (126)   ~ (all_16_13 = all_16_23)
% 244.49/48.61    (127)  op2(e24, unit2) = e24
% 244.49/48.61    (128)  h4(e11) = e21
% 244.49/48.61    (129)  op2(e23, e22) = e20
% 244.49/48.61    (130)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.49/48.61             op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.49/48.61               e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.49/48.61             $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 =
% 244.49/48.61               e22) &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2
% 244.49/48.61             & op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22,
% 244.49/48.61               e24) = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.49/48.61           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 244.49/48.61             op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.49/48.61               e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 244.49/48.62             $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 =
% 244.49/48.62               e20) &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6
% 244.49/48.62             & op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20,
% 244.49/48.62               e24) = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.49/48.62           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 244.49/48.62             op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.49/48.62               e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 244.49/48.62             $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 244.49/48.62               e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 244.49/48.62             & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.49/48.62               e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.49/48.62           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.49/48.62             op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 &
% 244.49/48.62             op2(e23, e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14)
% 244.49/48.62             & $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 244.49/48.62               e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 244.49/48.62             & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.49/48.62               e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.49/48.62           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.49/48.62             op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 &
% 244.49/48.62             op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18)
% 244.49/48.62             & $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 244.49/48.62               e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 244.49/48.62             op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 &
% 244.49/48.62             op2(e22, e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) &
% 244.49/48.62             $i(all_22_25)) | (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.49/48.62             (all_22_40 = all_22_41) & op2(all_22_41, e22) = all_22_26 &
% 244.49/48.62             op2(all_22_41, e21) = e22 & op2(e22, e21) = all_22_41 & op2(e21, e22)
% 244.49/48.62             = all_22_40 & $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.49/48.62           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~ (all_22_54 = all_22_55) &
% 244.49/48.62             op2(all_22_55, e22) = all_22_28 & op2(all_22_55, e20) = e22 &
% 244.49/48.62             op2(e22, e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_28)
% 244.49/48.62             & $i(all_22_54) & $i(all_22_55)) | (all_22_31 = e21 &  ~ (all_22_30 =
% 244.49/48.62               e24) &  ~ (all_22_32 = all_22_33) & op2(all_22_32, e24) = e21 &
% 244.49/48.62             op2(all_22_32, e21) = all_22_30 & op2(e24, e21) = all_22_33 &
% 244.49/48.62             op2(e21, e24) = all_22_32 & $i(all_22_30) & $i(all_22_32) &
% 244.49/48.62             $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.49/48.62             (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 & op2(all_22_36,
% 244.49/48.62               e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21, e23) =
% 244.49/48.62             all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.49/48.62           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 244.49/48.62             op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 &
% 244.49/48.62             op2(e22, e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38)
% 244.49/48.62             & $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 244.49/48.62               e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 244.49/48.62             & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.49/48.62               e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.49/48.62           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 244.49/48.62             op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 &
% 244.49/48.62             op2(e24, e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44)
% 244.49/48.62             & $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 244.49/48.62               e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 244.49/48.62             op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 &
% 244.49/48.62             op2(e20, e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) &
% 244.49/48.62             $i(all_22_51)) | (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.49/48.62             (all_22_54 = all_22_55) & op2(all_22_54, e22) = e20 & op2(all_22_54,
% 244.49/48.62               e20) = all_22_52 & op2(e22, e20) = all_22_55 & op2(e20, e22) =
% 244.49/48.62             all_22_54 & $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.49/48.62           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~ (all_22_58 = all_22_59) &
% 244.49/48.62             op2(all_22_58, e21) = e20 & op2(all_22_58, e20) = all_22_56 &
% 244.49/48.62             op2(e21, e20) = all_22_59 & op2(e20, e21) = all_22_58 & $i(all_22_56)
% 244.49/48.62             & $i(all_22_58) & $i(all_22_59))
% 244.49/48.62    (131)   ~ (all_16_10 = all_16_14)
% 244.49/48.62    (132)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 244.49/48.62               e22) = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 =
% 244.49/48.62             e22 & op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.49/48.62    (133)   ~ (all_16_1 = e23)
% 244.49/48.62    (134)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.49/48.62               e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23
% 244.49/48.62             = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 244.49/48.62             e22)
% 244.49/48.62    (135)   ~ (all_16_20 = e22)
% 244.49/48.62    (136)   ~ (all_12_2 = e22)
% 244.49/48.62    (137)   ~ (all_16_8 = all_6_2)
% 244.49/48.62    (138)  op1(e11, e12) = e14
% 244.49/48.62    (139)   ~ (all_16_14 = e20)
% 244.49/48.62    (140)   ~ (all_16_2 = all_16_3)
% 244.49/48.62    (141)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.49/48.62               e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15
% 244.49/48.62             = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) =
% 244.49/48.62             e22)
% 244.49/48.62    (142)   ~ (all_16_15 = e22)
% 244.49/48.62    (143)   ~ (all_16_23 = e20)
% 244.49/48.62    (144)   ~ (all_16_4 = all_16_19)
% 244.49/48.62    (145)   ~ (all_16_2 = all_16_7)
% 244.49/48.62    (146)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23,
% 244.49/48.62               e24) = e23) | (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_12 =
% 244.49/48.62             e23 & op2(e21, e24) = e23) | (all_24_20 = e23 & op2(e20, e24) = e23)
% 244.49/48.62    (147)  op2(e24, e20) = all_16_20
% 244.49/48.62    (148)   ~ (all_16_19 = e23)
% 244.49/48.62    (149)   ~ (all_16_20 = all_12_2)
% 244.49/48.62    (150)  op1(e13, e13) = e11
% 244.49/48.62    (151)  all_24_1 = e22
% 244.49/48.62    (152)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.49/48.62               e23) = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 =
% 244.49/48.62             e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.49/48.62    (153)   ~ (all_16_19 = all_6_2)
% 244.49/48.62    (154)  op1(e14, e14) = e10
% 244.49/48.62    (155)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.49/48.62    (156)   ~ (all_16_17 = all_16_22)
% 244.49/48.62    (157)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 = e20
% 244.49/48.62    (158)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 & op2(e23,
% 244.49/48.62               e21) = e23) | (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_15
% 244.49/48.62             = e23 & op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20, e21) =
% 244.49/48.62             e23)
% 244.49/48.62    (159)  all_20_14 = all_16_22
% 244.49/48.62    (160)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.49/48.62               e22) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 =
% 244.49/48.62             e24 & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.49/48.62    (161)   ~ (all_16_17 = all_4_2)
% 244.49/48.62    (162)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 & op2(e24,
% 244.49/48.62               e23) = e23) | (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 =
% 244.49/48.62             e23 & op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) = e23)
% 244.49/48.62    (163)  op2(e22, e21) = all_16_17
% 244.49/48.62    (164)  op2(all_6_1, e21) = all_6_0
% 244.49/48.62    (165)  all_20_18 = e24 | all_20_18 = e23 | all_20_18 = e22 | all_20_18 = e21 |
% 244.49/48.62           all_20_18 = e20
% 244.49/48.62    (166)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 244.49/48.62               e23) = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 =
% 244.49/48.62             e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.49/48.62    (167)   ~ (all_16_3 = all_6_2)
% 244.49/48.62    (168)   ~ (all_16_22 = e23)
% 244.49/48.62    (169)   ~ (all_16_8 = e23)
% 244.49/48.62    (170)  op2(e22, e23) = all_16_7
% 244.49/48.62    (171)   ~ (all_16_19 = e24)
% 244.49/48.62    (172)  op2(unit2, e22) = e22
% 244.49/48.62    (173)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.49/48.62               e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15
% 244.49/48.62             = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 244.49/48.62             e20)
% 244.49/48.62    (174)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22,
% 244.49/48.62               e23) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 =
% 244.49/48.62             e23 & op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.49/48.62    (175)  op2(e21, e21) = all_6_2
% 244.49/48.62    (176)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 244.49/48.62               e23) = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 =
% 244.49/48.62             e22 & op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.49/48.62    (177)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.49/48.62    (178)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 244.49/48.62               e23) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 =
% 244.49/48.62             e24 & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.49/48.62    (179)   ~ (all_16_15 = all_16_17)
% 244.49/48.62    (180)   ~ (all_16_4 = e22)
% 244.49/48.62    (181)  op1(e13, e10) = e13
% 244.49/48.62    (182)   ~ (all_16_7 = e22)
% 244.49/48.62    (183)   ~ (e21 = e20)
% 244.49/48.62    (184)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 244.49/48.62               e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 =
% 244.49/48.62             e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.49/48.62    (185)  op2(e24, e21) = all_16_15
% 244.49/48.62    (186)   ~ (all_16_7 = all_16_17)
% 244.49/48.62    (187)   ~ (e24 = e22)
% 244.49/48.62    (188)  op1(e11, e10) = e11
% 244.49/48.62    (189)  op2(e21, e24) = all_16_3
% 244.49/48.62    (190)  all_24_17 = e23
% 244.49/48.62    (191)  op2(e21, all_6_0) = all_6_3
% 244.49/48.62    (192)  op2(e23, e24) = all_16_1
% 244.49/48.62    (193)   ~ (all_16_23 = e23)
% 244.49/48.62    (194)   ~ (all_16_10 = all_12_2)
% 244.49/48.62    (195)   ~ (all_16_7 = e21)
% 244.49/48.62    (196)   ~ (e24 = e23)
% 244.49/48.62    (197)  op2(e23, e21) = all_10_1
% 244.49/48.62    (198)  h4(e14) = e24
% 244.49/48.62    (199)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 244.49/48.62               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 244.49/48.62             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.49/48.62    (200)  op2(all_4_1, e22) = all_4_0
% 244.49/48.62    (201)  op2(e21, unit2) = e21
% 244.49/48.62    (202)  op2(e22, e22) = all_4_2
% 244.49/48.62    (203)  op2(e20, e21) = all_16_19
% 244.49/48.62    (204)  h4(e10) = e20
% 244.49/48.62    (205)   ~ (all_16_8 = e22)
% 244.49/48.62    (206)  all_20_3 = e24 | all_20_3 = e23 | all_20_3 = e22 | all_20_3 = e21 |
% 244.49/48.62           all_20_3 = e20
% 244.49/48.62    (207)   ~ (all_16_10 = all_16_13)
% 244.49/48.62    (208)  op1(e11, e11) = e12
% 244.49/48.62    (209)   ~ (all_16_20 = all_16_23)
% 244.49/48.62    (210)  all_20_5 = all_16_1
% 244.49/48.62    (211)  all_20_15 = e24 | all_20_15 = e23 | all_20_15 = e22 | all_20_15 = e21 |
% 244.49/48.62           all_20_15 = e20
% 244.49/48.62    (212)  op2(e21, e20) = all_16_23
% 244.49/48.62    (213)  op1(e11, e14) = e13
% 244.49/48.62    (214)  op1(e10, e10) = e10
% 244.49/48.62    (215)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 244.49/48.62               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 244.49/48.62             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.49/48.62    (216)  op1(e13, e14) = e12
% 244.49/48.62    (217)  all_20_2 = e24 | all_20_2 = e23 | all_20_2 = e22 | all_20_2 = e21 |
% 244.49/48.62           all_20_2 = e20
% 244.49/48.62    (218)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.49/48.62               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 244.49/48.62             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.49/48.62    (219)   ~ (all_16_15 = all_6_2)
% 244.49/48.62    (220)  all_24_5 = e20
% 244.49/48.62    (221)   ~ (all_16_2 = all_16_22)
% 244.49/48.62    (222)   ~ (all_16_2 = all_4_2)
% 244.49/48.62    (223)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.49/48.62               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.49/48.62             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.49/48.62             e21)
% 244.49/48.62    (224)  op2(unit2, e21) = e21
% 244.49/48.62    (225)  op1(e14, e13) = e12
% 244.49/48.62    (226)  op1(e14, e11) = e13
% 244.49/48.62    (227)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.49/48.62               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.49/48.62             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.49/48.62    (228)   ~ (all_16_15 = all_16_20)
% 244.49/48.62    (229)  all_24_3 = e21
% 244.49/48.62    (230)   ~ (all_16_3 = all_16_8)
% 244.49/48.62    (231)  h4(e12) = e22
% 244.49/48.62    (232)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.49/48.62               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.49/48.62             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.49/48.62  
% 244.49/48.62  Begin of proof
% 244.49/48.62  | 
% 244.49/48.62  | BETA: splitting (206) gives:
% 244.49/48.62  | 
% 244.49/48.62  | Case 1:
% 244.49/48.62  | | 
% 244.49/48.62  | |   (233)  all_20_3 = e23
% 244.49/48.62  | | 
% 244.49/48.62  | | COMBINE_EQS: (32), (233) imply:
% 244.49/48.62  | |   (234)  all_16_15 = e23
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (114), (234) imply:
% 244.49/48.62  | |   (235)   ~ (all_16_10 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (78), (234) imply:
% 244.49/48.62  | |   (236)   ~ (all_16_19 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (228), (234) imply:
% 244.49/48.62  | |   (237)   ~ (all_16_20 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (23), (234) imply:
% 244.49/48.62  | |   (238)   ~ (all_12_2 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | SIMP: (238) implies:
% 244.49/48.62  | |   (239)   ~ (all_12_2 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (219), (234) imply:
% 244.49/48.62  | |   (240)   ~ (all_6_2 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | SIMP: (240) implies:
% 244.49/48.62  | |   (241)   ~ (all_6_2 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | REDUCE: (30), (234) imply:
% 244.49/48.62  | |   (242)   ~ (e24 = e23)
% 244.49/48.62  | | 
% 244.49/48.62  | | BETA: splitting (162) gives:
% 244.49/48.62  | | 
% 244.49/48.62  | | Case 1:
% 244.49/48.62  | | | 
% 244.49/48.62  | | |   (243)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 &
% 244.49/48.62  | | |            op2(e24, e23) = e23)
% 244.49/48.62  | | | 
% 244.49/48.62  | | | BETA: splitting (243) gives:
% 244.49/48.62  | | | 
% 244.49/48.62  | | | Case 1:
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | |   (244)  all_24_0 = e23 & op2(e24, e24) = e23
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | | REF_CLOSE: (5), (80), (239), (244) are inconsistent by sub-proof #916.
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | Case 2:
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | |   (245)  all_24_1 = e23 & op2(e24, e23) = e23
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | | REF_CLOSE: (68), (80), (93), (245) are inconsistent by sub-proof #956.
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | End of split
% 244.49/48.62  | | | 
% 244.49/48.62  | | Case 2:
% 244.49/48.62  | | | 
% 244.49/48.62  | | |   (246)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 = e23 &
% 244.49/48.62  | | |            op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) = e23)
% 244.49/48.62  | | | 
% 244.49/48.62  | | | BETA: splitting (246) gives:
% 244.49/48.62  | | | 
% 244.49/48.62  | | | Case 1:
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | |   (247)  all_24_4 = e23 & op2(e24, e22) = e23
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | | REF_CLOSE: (3), (80), (235), (247) are inconsistent by sub-proof #915.
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | Case 2:
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | |   (248)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_16 = e23 &
% 244.49/48.62  | | | |            op2(e24, e20) = e23)
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | | BETA: splitting (248) gives:
% 244.49/48.62  | | | | 
% 244.49/48.62  | | | | Case 1:
% 244.49/48.62  | | | | | 
% 244.49/48.62  | | | | |   (249)  all_24_9 = e23 & op2(e24, e21) = e23
% 244.49/48.62  | | | | | 
% 244.49/48.62  | | | | | ALPHA: (249) implies:
% 244.49/48.62  | | | | |   (250)  all_24_9 = e23
% 244.49/48.62  | | | | |   (251)  op2(e24, e21) = e23
% 244.49/48.62  | | | | | 
% 244.49/48.62  | | | | | BETA: splitting (117) gives:
% 244.49/48.62  | | | | | 
% 244.49/48.62  | | | | | Case 1:
% 244.49/48.62  | | | | | | 
% 244.49/48.62  | | | | | |   (252)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 244.49/48.62  | | | | | |            op2(e24, e23) = e20)
% 244.49/48.62  | | | | | | 
% 244.49/48.62  | | | | | | BETA: splitting (252) gives:
% 244.49/48.62  | | | | | | 
% 244.49/48.62  | | | | | | Case 1:
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | |   (253)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | ALPHA: (253) implies:
% 244.49/48.62  | | | | | | |   (254)  all_24_0 = e20
% 244.49/48.62  | | | | | | |   (255)  op2(e24, e24) = e20
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | GROUND_INST: instantiating (80) with all_12_2, e20, e24, e24,
% 244.49/48.62  | | | | | | |              simplifying with (5), (255) gives:
% 244.49/48.62  | | | | | | |   (256)  all_12_2 = e20
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | REDUCE: (95), (256) imply:
% 244.49/48.62  | | | | | | |   (257)   ~ (all_16_2 = e20)
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | REDUCE: (65), (256) imply:
% 244.49/48.62  | | | | | | |   (258)   ~ (all_16_3 = e20)
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | REDUCE: (239), (256) imply:
% 244.49/48.62  | | | | | | |   (259)   ~ (e23 = e20)
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | REDUCE: (136), (256) imply:
% 244.49/48.62  | | | | | | |   (260)   ~ (e22 = e20)
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | REDUCE: (91), (256) imply:
% 244.49/48.62  | | | | | | |   (261)  op2(e24, e20) = all_12_1
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | GROUND_INST: instantiating (80) with all_16_20, all_12_1, e20,
% 244.49/48.62  | | | | | | |              e24, simplifying with (147), (261) gives:
% 244.49/48.62  | | | | | | |   (262)  all_16_20 = all_12_1
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | BETA: splitting (211) gives:
% 244.49/48.62  | | | | | | | 
% 244.49/48.62  | | | | | | | Case 1:
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | |   (263)  all_20_15 = e23
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | COMBINE_EQS: (35), (263) imply:
% 244.49/48.62  | | | | | | | |   (264)  all_16_3 = e23
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | SIMP: (264) implies:
% 244.49/48.62  | | | | | | | |   (265)  all_16_3 = e23
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | REDUCE: (140), (265) imply:
% 244.49/48.62  | | | | | | | |   (266)   ~ (all_16_2 = e23)
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | REDUCE: (17), (265) imply:
% 244.49/48.62  | | | | | | | |   (267)   ~ (all_16_4 = e23)
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | REDUCE: (230), (265) imply:
% 244.49/48.62  | | | | | | | |   (268)   ~ (all_16_8 = e23)
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | REDUCE: (72), (265) imply:
% 244.49/48.62  | | | | | | | |   (269)   ~ (all_16_13 = e23)
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | SIMP: (269) implies:
% 244.49/48.62  | | | | | | | |   (270)   ~ (all_16_13 = e23)
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | BETA: splitting (146) gives:
% 244.49/48.62  | | | | | | | | 
% 244.49/48.62  | | | | | | | | Case 1:
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | |   (271)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 =
% 244.49/48.62  | | | | | | | | |            e23 & op2(e23, e24) = e23)
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | REF_CLOSE: (5), (68), (80), (85), (239), (271) are
% 244.49/48.62  | | | | | | | | |            inconsistent by sub-proof #914.
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | Case 2:
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | |   (272)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_12 =
% 244.49/48.62  | | | | | | | | |            e23 & op2(e21, e24) = e23) | (all_24_20 = e23 &
% 244.49/48.62  | | | | | | | | |            op2(e20, e24) = e23)
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | BETA: splitting (272) gives:
% 244.49/48.62  | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | Case 1:
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | |   (273)  all_24_6 = e23 & op2(e22, e24) = e23
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | REF_CLOSE: (62), (80), (266), (273) are inconsistent by
% 244.49/48.62  | | | | | | | | | |            sub-proof #913.
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | Case 2:
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | |   (274)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 244.49/48.62  | | | | | | | | | |          (all_24_20 = e23 & op2(e20, e24) = e23)
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | BETA: splitting (274) gives:
% 244.49/48.62  | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | Case 1:
% 244.49/48.62  | | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | |   (275)  all_24_12 = e23 & op2(e21, e24) = e23
% 244.49/48.62  | | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | | ALPHA: (275) implies:
% 244.49/48.62  | | | | | | | | | | |   (276)  all_24_12 = e23
% 244.49/48.62  | | | | | | | | | | |   (277)  op2(e21, e24) = e23
% 244.49/48.62  | | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | | BETA: splitting (120) gives:
% 244.49/48.62  | | | | | | | | | | | 
% 244.49/48.62  | | | | | | | | | | | Case 1:
% 244.49/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | |   (278)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5
% 244.58/48.62  | | | | | | | | | | | |            = e23 & op2(e23, e22) = e23)
% 244.58/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | REF_CLOSE: (3), (80), (89), (129), (235), (278) are
% 244.58/48.62  | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 244.58/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | |   (279)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 244.58/48.62  | | | | | | | | | | | |          (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.58/48.62  | | | | | | | | | | | |          (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.58/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | BETA: splitting (279) gives:
% 244.58/48.62  | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | |   (280)  all_24_8 = e23 & op2(e22, e22) = e23
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | ALPHA: (280) implies:
% 244.58/48.62  | | | | | | | | | | | | |   (281)  all_24_8 = e23
% 244.58/48.62  | | | | | | | | | | | | |   (282)  op2(e22, e22) = e23
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_2, e23, e22, e22,
% 244.58/48.62  | | | | | | | | | | | | |              simplifying with (202), (282) gives:
% 244.58/48.62  | | | | | | | | | | | | |   (283)  all_4_2 = e23
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | REDUCE: (161), (283) imply:
% 244.58/48.62  | | | | | | | | | | | | |   (284)   ~ (all_16_17 = e23)
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | REDUCE: (13), (283) imply:
% 244.58/48.62  | | | | | | | | | | | | |   (285)  op2(e22, e23) = all_4_1
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_7, all_4_1, e23,
% 244.58/48.62  | | | | | | | | | | | | |              e22, simplifying with (170), (285) gives:
% 244.58/48.62  | | | | | | | | | | | | |   (286)  all_16_7 = all_4_1
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | REDUCE: (145), (286) imply:
% 244.58/48.62  | | | | | | | | | | | | |   (287)   ~ (all_16_2 = all_4_1)
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | REDUCE: (92), (286) imply:
% 244.58/48.62  | | | | | | | | | | | | |   (288)   ~ (all_4_1 = e23)
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | REDUCE: (182), (286) imply:
% 244.58/48.62  | | | | | | | | | | | | |   (289)   ~ (all_4_1 = e22)
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | BETA: splitting (52) gives:
% 244.58/48.62  | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | |   (290)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 244.58/48.62  | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | |   (291)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 244.58/48.62  | | | | | | | | | | | | | | |   (292)  all_24_20 = e24
% 244.58/48.62  | | | | | | | | | | | | | | |   (293)  op2(e20, e24) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | |   (294)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.58/48.62  | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.58/48.62  | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.58/48.62  | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (176), (183),
% 244.58/48.62  | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (220), (232),
% 244.58/48.62  | | | | | | | | | | | | | | | |            (250), (294) are inconsistent by sub-proof #882.
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | |   (295)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.58/48.62  | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.58/48.62  | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (296)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (297)  all_24_6 = e21
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (298)  op2(e22, e24) = e21
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_4, e24, e24, e20,
% 244.58/48.62  | | | | | | | | | | | | | | | | |              simplifying with (44), (293) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (299)  all_16_4 = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_2, e21, e24, e22,
% 244.58/48.62  | | | | | | | | | | | | | | | | |              simplifying with (62), (298) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (300)  all_16_2 = e21
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (34), (299), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (301)   ~ (e24 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (116), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (302)   ~ (all_16_17 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | SIMP: (302) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (303)   ~ (all_16_17 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (221), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (304)   ~ (all_16_22 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (305)   ~ (all_16_22 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (287), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (306)   ~ (all_4_1 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (307)   ~ (all_4_1 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (266), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (308)   ~ (e23 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (98), (300) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (309)   ~ (e22 = e21)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | REDUCE: (144), (299) imply:
% 244.58/48.62  | | | | | | | | | | | | | | | | |   (310)   ~ (all_16_19 = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | |   (311)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.58/48.62  | | | | | | | | | | | | | | | | | |            = e20 & op2(e22, e23) = e20)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |   (312)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |   (313)  all_24_6 = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (49), (51), (53), (57), (66), (68), (73),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (220), (232),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |            (254), (276), (292), (313) are inconsistent by
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |            sub-proof #871.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |   (314)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | |   (315)  all_24_7 = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | |   (316)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e23, e23) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |   (317)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (151), (187), (317) are inconsistent by sub-proof
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |            #870.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |   (318)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (229), (318) are inconsistent by sub-proof
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |            #1323.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | |   (319)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |   (320)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |   (321)  all_24_7 = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (315), (321) are inconsistent by sub-proof
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |            #869.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |   (322)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | |   (323)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | |   (324)  all_24_13 = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | |   (325)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (276), (326) are
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #868.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (324), (327) are inconsistent by sub-proof
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            #867.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | |   (328)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_24_14 = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (54), (56), (57), (66),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (86), (88), (89), (93), (105),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (113), (118), (129), (132), (133), (151), (152),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (160), (166), (176), (177), (183), (184), (185),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (192), (196), (197), (210), (215),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (220), (227), (229), (232), (250), (254), (281),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |            (324), (330) are inconsistent by sub-proof #839.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_24_15 = e20
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e22, e23) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (297), (315), (324), (334) are inconsistent
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #830.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (166), (183), (187), (190), (196), (197),
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (281), (324), (336)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #841.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (119), (163), (338) are inconsistent by
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_24_18 = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (49), (51), (53), (56), (57), (66), (68),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (77), (80), (86), (89), (93), (104), (105),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (129), (151), (166), (176), (183), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (220), (227), (229),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (276), (341) are inconsistent by sub-proof
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #811.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (343) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_24_8 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (266), (284), (344) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #807.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_24_11 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (135), (147), (177), (192), (196),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (210), (232), (348) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #805.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_24_18 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (80), (105), (119), (163), (178), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (281), (297), (315), (351) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #801.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_24_19 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (51), (53), (55), (57), (66), (68), (70),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (107), (109), (127), (129),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (155), (187), (196), (197), (203), (215),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (355) are inconsistent by sub-proof #799.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (53), (68), (80), (85), (89), (113),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (155), (196), (197), (357) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #797.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_24_19 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (360) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  e22 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (361) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  e22 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (362) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_24_11 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_24_6 = e22 & op2(e22, e24) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_24_6 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (362) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_24_2 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (68), (73), (80), (89),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (113), (129), (176), (187), (196), (197),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (232), (367) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1298.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_24_7 = e22 & op2(e22, e23) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (315), (368)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #796.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_24_8 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (370) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e23 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (371) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_24_17 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (68), (80), (85), (89), (129),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (232), (372) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (346), (363) are
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #794.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_24_18 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (374) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  e24 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (375) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  $false
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_24_24 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (378) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  e21 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (379) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_24_6 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (183), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (218), (220), (232),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (281), (315), (340), (347), (380) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #790.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_24_24 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (382) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  e22 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (383) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_24_11 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (85), (89), (105), (108), (113), (129),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (141), (176), (183), (187), (190), (196), (197),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (232), (250), (333), (384) are
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #782.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (385) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_24_18 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (80), (105), (119), (163), (178), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (281), (297), (315), (386) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #801.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (53), (70), (80), (89), (109), (129),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (387) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #779.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |   (388)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (388) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | |   (389)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | |          (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |   (390)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |   (391)  all_24_8 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (391) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |   (392)  e23 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (392) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |   (393)  all_24_17 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (196),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |            (197), (215), (232), (393) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |            sub-proof #888.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |   (394)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | |          (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | |   (395)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | |   (396)  all_24_11 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | |   (397)  op2(e22, e21) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |   (398)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (49), (51), (53), (56), (57), (66), (68),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            (73), (77), (80), (86), (89), (93), (104), (105),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            (113), (129), (151), (166), (176), (183), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (220), (227), (229),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            (232), (276), (398) are inconsistent by sub-proof
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |            #811.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |   (399)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |   (400)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |   (401)  all_24_8 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (266), (284), (401) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #807.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |   (402)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (403) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_24_11 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (404) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (405)  e22 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (405) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (406)  e22 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (406) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (407)  $false
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (407) is inconsistent.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_24_18 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | |   (410)  op2(e22, e20) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | |   (411)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e22, e23) = e24)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_24_6 = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (297), (413) are inconsistent by sub-proof
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |            #778.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_24_7 = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  op2(e22, e23) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e20 & op2(e23, e23) = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (418) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (80), (183), (419) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_24_7 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (80), (105), (119), (163), (178), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (281), (297), (409), (422) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #801.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_24_13 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  op2(e21, e23) = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_8, e20, e23, e21,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (76), (426) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_16_8 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_22, e22, e20, e22,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (59), (410) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_16_22 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_17, e20, e21, e22,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (163), (397) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_16_17 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_1, e24, e23, e22,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (285), (416) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_4_1 = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (429) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)   ~ (all_16_19 = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (429) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)   ~ (all_6_2 = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (432) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)   ~ (all_6_2 = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (429) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)   ~ (e24 = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (429) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)   ~ (e21 = e20)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (428) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)   ~ (e23 = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (430) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  op2(e24, e22) = all_4_0
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_10, all_4_0, e22,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e24, simplifying with (3), (437) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_16_10 = all_4_0
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (56), (57), (66), (68),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (92), (93), (105), (113),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (170), (176), (180), (183),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (215), (227),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (232), (439) are inconsistent by sub-proof
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #775.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_24_22 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  op2(e20, e22) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (57), (66), (68), (70), (76), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (92), (93), (101), (105), (107), (113),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (139), (155), (169), (170), (171), (172),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (203), (215),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (444) are inconsistent by sub-proof #764.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (443), (446) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #763.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  op2(e20, e21) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (451) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_24_9 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (452) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  e23 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (453) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_24_8 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (266), (284), (454) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #807.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  op2(e23, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (187), (197), (456) are inconsistent
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_24_11 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (459) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  e22 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (460) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_24_22 = e20
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (30), (49), (51), (53), (54), (56), (57),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (76), (80), (86), (88), (89),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (93), (105), (113), (118), (129), (132),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (151), (152), (160), (166), (169), (170),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (177), (183), (184), (185), (187), (190),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (196), (197), (199), (210), (215), (220),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (229), (232), (250), (254), (276), (281),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (292), (415), (425), (461) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #742.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  op2(e21, e21) = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_19, e21, e21, e20,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (449) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_16_19 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_14, e22, e22, e20,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (107), (443) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_16_14 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_6_2, e22, e21, e21,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (175), (464) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_6_2 = e22
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (467) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)   ~ (e24 = e22)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (467) imply:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  op2(e21, e22) = all_6_1
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_13, all_6_1, e22,
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (37), (469) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_16_13 = all_6_1
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  op2(e24, e20) = e24
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e21 & op2(e24, e23) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (183), (187),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (250), (475)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #883.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (93), (113), (476) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  op2(e24, e22) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (480) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (105), (473), (481) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_24_17 = e21 & op2(e23, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_24_17 = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (196), (197), (215), (232), (483)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #874.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (410), (485) are inconsistent by
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #740.
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  op2(e21, e20) = e21
% 244.58/48.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (190), (196), (197), (215), (227),
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (276), (415), (489) are inconsistent by
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #739.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (491) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  op2(e21, e22) = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_23, e21, e20, e21,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (212), (488) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_16_23 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_6_1, e24, e22, e21,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (469), (492) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_6_1 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_12_1, e24, e20, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (261), (473) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_12_1 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_0, e21, e22, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (437), (479) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_4_0 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_56 & h4(e14) = all_26_96 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_96) = all_26_55 & op1(e14, e14) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_222 & $i(all_26_55) & $i(all_26_56) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_222)) | ( ~ (all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_58) & h4(all_26_225) = all_26_58 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_96, all_26_99) = all_26_57 & op1(e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_26_225 & $i(all_26_57) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_228) = all_26_60 & h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e12) = all_26_102 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_102) = all_26_59 & op1(e14, e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_228 & $i(all_26_59) & $i(all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_102) & $i(all_26_228))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_62 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_96, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_61 & op1(e14, e11) = all_26_231 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_61) & $i(all_26_62) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_231)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_64 & h4(e14) = all_26_96 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_96, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_63 & op1(e14, e10) = all_26_234 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_63) & $i(all_26_64) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_234)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_66 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99 & op2(all_26_99, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_65 & op1(e13, e14) = all_26_237 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_65) & $i(all_26_66) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_237)) | ( ~ (all_26_67
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_68) & h4(all_26_240) = all_26_68 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & op2(all_26_99, all_26_99)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_26_67 & op1(e13, e13) = all_26_240 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_67) & $i(all_26_68) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_240)) | ( ~ (all_26_69 = all_26_70) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_243) = all_26_70 & h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e12) = all_26_102 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_102) = all_26_69 & op1(e13, e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_243 & $i(all_26_69) & $i(all_26_70) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_102) & $i(all_26_243))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_71 = all_26_72) & h4(all_26_246) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_72 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_99, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_71 & op1(e13, e11) = all_26_246 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_71) & $i(all_26_72) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_246)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_73 = all_26_74) & h4(all_26_249) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_74 & h4(e13) = all_26_99 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_99, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_73 & op1(e13, e10) = all_26_249 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_73) & $i(all_26_74) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_249)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_75 = all_26_76) & h4(all_26_252) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_76 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_75 & op1(e12, e14) = all_26_252 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_75) & $i(all_26_76) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_252)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_77 = all_26_78) & h4(all_26_255) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_78 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_99) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_77 & op1(e12, e13) = all_26_255 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_77) & $i(all_26_78) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_255))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_56 & h4(e14) = all_26_96 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_96) = all_26_55 & op1(e14, e14) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_222 & $i(all_26_55) & $i(all_26_56) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_222)) | ( ~ (all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_58) & h4(all_26_225) = all_26_58 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_96, all_26_99) = all_26_57 & op1(e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_26_225 & $i(all_26_57) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_228) = all_26_60 & h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e12) = all_26_102 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_102) = all_26_59 & op1(e14, e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_228 & $i(all_26_59) & $i(all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_102) & $i(all_26_228))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_62 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_96, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_61 & op1(e14, e11) = all_26_231 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_61) & $i(all_26_62) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_231)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_64 & h4(e14) = all_26_96 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_96, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_63 & op1(e14, e10) = all_26_234 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_63) & $i(all_26_64) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_234)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_66 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99 & op2(all_26_99, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_65 & op1(e13, e14) = all_26_237 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_65) & $i(all_26_66) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_237))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  ( ~ (all_26_55 = all_26_56) & h4(all_26_222) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_56 & h4(e14) = all_26_96 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_96) = all_26_55 & op1(e14, e14) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_222 & $i(all_26_55) & $i(all_26_56) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_222)) | ( ~ (all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_58) & h4(all_26_225) = all_26_58 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e14) = all_26_96 & h4(e13) = all_26_99 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_96, all_26_99) = all_26_57 & op1(e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_26_225 & $i(all_26_57) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_225)) | ( ~ (all_26_59 = all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_228) = all_26_60 & h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e12) = all_26_102 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_102) = all_26_59 & op1(e14, e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_228 & $i(all_26_59) & $i(all_26_60) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_102) & $i(all_26_228))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)   ~ (all_26_55 = all_26_56) & h4(all_26_222) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_56 & h4(e14) = all_26_96 & op2(all_26_96,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_96) = all_26_55 & op1(e14, e14) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_222 & $i(all_26_55) & $i(all_26_56) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_96) & $i(all_26_222)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (500) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)   ~ (all_26_55 = all_26_56)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  op1(e14, e14) = all_26_222
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  op2(all_26_96, all_26_96) = all_26_55
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  h4(all_26_222) = all_26_56
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e10, all_26_222, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e14, simplifying with (154), (502) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_26_222 = e10
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (504) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (506) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  h4(e10) = all_26_56
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (507) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  op2(e24, e24) = all_26_55
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e20, all_26_55, e24, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (255), (509) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_26_55 = e20
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_56, e10,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (508) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_26_56 = e20
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (510), (511) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (512) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  ( ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_58 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99 & op2(all_26_96, all_26_99) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_57 & op1(e14, e13) = all_26_225 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_57) & $i(all_26_58) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_225)) | ( ~ (all_26_59
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_60) & h4(all_26_228) = all_26_60 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e14) = all_26_96 & h4(e12) = all_26_102 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_96, all_26_102) = all_26_59 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e14, e12) = all_26_228 & $i(all_26_59) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_60) & $i(all_26_96) & $i(all_26_102) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_228))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (513) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)   ~ (all_26_57 = all_26_58) & h4(all_26_225) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_58 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_99 & op2(all_26_96, all_26_99) = all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op1(e14, e13) = all_26_225 & $i(all_26_57) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_58) & $i(all_26_96) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_225)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)   ~ (all_26_57 = all_26_58)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  op1(e14, e13) = all_26_225
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  op2(all_26_96, all_26_99) = all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  h4(all_26_225) = all_26_58
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e12, all_26_225, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e14, simplifying with (225), (516) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_26_225 = e12
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (518) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_26_99 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (519) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (521) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  h4(e12) = all_26_58
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (522), (523) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  op2(e24, e23) = all_26_57
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e22, all_26_57, e23, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (93), (525) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_26_57 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_58, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (524) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_26_58 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (526), (527) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)   ~ (all_26_59 = all_26_60) & h4(all_26_228) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_60 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_102 & op2(all_26_96, all_26_102) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_59 & op1(e14, e12) = all_26_228 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_59) & $i(all_26_60) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_228)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)   ~ (all_26_59 = all_26_60)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  op1(e14, e12) = all_26_228
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  op2(all_26_96, all_26_102) = all_26_59
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  h4(e12) = all_26_102
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  h4(all_26_228) = all_26_60
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e11, all_26_228, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e14, simplifying with (41), (531) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  all_26_228 = e11
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (533) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_26_102 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (534) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (536) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  h4(e11) = all_26_60
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (537), (538) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  op2(e24, e22) = all_26_59
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e21, all_26_59, e22, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (479), (540) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_26_59 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_60, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (539) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_26_60 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (541), (542) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (543) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  ( ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_62 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_96, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_61 & op1(e14, e11) = all_26_231 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_61) & $i(all_26_62) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_231)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_64 & h4(e14) = all_26_96 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_96, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_63 & op1(e14, e10) = all_26_234 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_63) & $i(all_26_64) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_234)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_66 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99 & op2(all_26_99, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_65 & op1(e13, e14) = all_26_237 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_65) & $i(all_26_66) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_237))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (544) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)   ~ (all_26_61 = all_26_62) & h4(all_26_231) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_62 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_96, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_61 & op1(e14, e11) = all_26_231 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_61) & $i(all_26_62) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_231)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (545) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)   ~ (all_26_61 = all_26_62)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  op1(e14, e11) = all_26_231
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  op2(all_26_96, all_26_105) = all_26_61
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  h4(e11) = all_26_105
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  h4(all_26_231) = all_26_62
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e13, all_26_231, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e14, simplifying with (226), (547) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_26_231 = e13
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (549) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_26_105 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (550) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (552) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  h4(e13) = all_26_62
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (553), (554) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  op2(e24, e21) = all_26_61
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_26_61, e21, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (251), (556) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_26_61 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_62, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (555) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_26_62 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (557), (558) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (559) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  ( ~ (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_64 & h4(e14) = all_26_96 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_96, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_63 & op1(e14, e10) = all_26_234 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_63) & $i(all_26_64) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_234)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_66 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99 & op2(all_26_99, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_65 & op1(e13, e14) = all_26_237 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_65) & $i(all_26_66) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_237))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (560) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)   ~ (all_26_63 = all_26_64) & h4(all_26_234) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_64 & h4(e14) = all_26_96 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_108 & op2(all_26_96, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_63 & op1(e14, e10) = all_26_234 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_63) & $i(all_26_64) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_108) & $i(all_26_234)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (561) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)   ~ (all_26_63 = all_26_64)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  op1(e14, e10) = all_26_234
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  op2(all_26_96, all_26_108) = all_26_63
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  h4(e10) = all_26_108
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  h4(all_26_234) = all_26_64
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e14, all_26_234, e10,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e14, simplifying with (94), (563) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  all_26_234 = e14
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_108, e10,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (565) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_26_108 = e20
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (566) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (568) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  h4(e14) = all_26_64
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (569), (570) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  op2(e24, e20) = all_26_63
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_26_63, e20, e24,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (473), (572) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_26_63 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_64, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (571) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_26_64 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (573), (574) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (575) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)   ~ (all_26_65 = all_26_66) & h4(all_26_237) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_66 & h4(e14) = all_26_96 & h4(e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_99 & op2(all_26_99, all_26_96) = all_26_65
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op1(e13, e14) = all_26_237 & $i(all_26_65) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_66) & $i(all_26_96) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_237)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (576) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)   ~ (all_26_65 = all_26_66)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  op1(e13, e14) = all_26_237
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  op2(all_26_99, all_26_96) = all_26_65
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  h4(e14) = all_26_96
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  h4(all_26_237) = all_26_66
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e12, all_26_237, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13, simplifying with (216), (578) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_26_237 = e12
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (580) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  all_26_99 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (581) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_26_96 = e24
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (583) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)  h4(e12) = all_26_66
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (584), (585) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)  op2(e23, e24) = all_26_65
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e22, all_26_65, e24, e23,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (85), (587) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  all_26_65 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_66, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (586) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  all_26_66 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (588), (589) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (590) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (591)  ( ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_68 & h4(e13) = all_26_99 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_99) = all_26_67 & op1(e13, e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_240 & $i(all_26_67) & $i(all_26_68) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_240)) | ( ~ (all_26_69
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_70) & h4(all_26_243) = all_26_70 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_99, all_26_102) = all_26_69 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e13, e12) = all_26_243 & $i(all_26_69) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_70) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_243)) | ( ~ (all_26_71 = all_26_72) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_246) = all_26_72 & h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e11) = all_26_105 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_105) = all_26_71 & op1(e13, e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_105) & $i(all_26_246))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_73 = all_26_74) & h4(all_26_249) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_74 & h4(e13) = all_26_99 & h4(e10) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_99, all_26_108) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_73 & op1(e13, e10) = all_26_249 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_73) & $i(all_26_74) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_249)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_75 = all_26_76) & h4(all_26_252) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_76 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_96) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_75 & op1(e12, e14) = all_26_252 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_75) & $i(all_26_76) & $i(all_26_96) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_252)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_77 = all_26_78) & h4(all_26_255) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_78 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_99) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_77 & op1(e12, e13) = all_26_255 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_77) & $i(all_26_78) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_255))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (592)  ( ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_68 & h4(e13) = all_26_99 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_99) = all_26_67 & op1(e13, e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_240 & $i(all_26_67) & $i(all_26_68) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_240)) | ( ~ (all_26_69
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_26_70) & h4(all_26_243) = all_26_70 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_99, all_26_102) = all_26_69 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e13, e12) = all_26_243 & $i(all_26_69) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_70) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_243)) | ( ~ (all_26_71 = all_26_72) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(all_26_246) = all_26_72 & h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(e11) = all_26_105 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_105) = all_26_71 & op1(e13, e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_246 & $i(all_26_71) & $i(all_26_72) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_105) & $i(all_26_246))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (592) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (593)   ~ (all_26_67 = all_26_68) & h4(all_26_240) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_68 & h4(e13) = all_26_99 & op2(all_26_99,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99) = all_26_67 & op1(e13, e13) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_240 & $i(all_26_67) & $i(all_26_68) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_99) & $i(all_26_240)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (593) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (594)   ~ (all_26_67 = all_26_68)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (595)  op1(e13, e13) = all_26_240
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (596)  op2(all_26_99, all_26_99) = all_26_67
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (597)  h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (598)  h4(all_26_240) = all_26_68
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e11, all_26_240, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13, simplifying with (150), (595) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (599)  all_26_240 = e11
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (597) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (600)  all_26_99 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (599) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (601)  h4(e11) = all_26_68
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (600) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (602)  op2(e23, e23) = all_26_67
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e21, all_26_67, e23, e23,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (57), (602) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (603)  all_26_67 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_68, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (601) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (604)  all_26_68 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (603), (604) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (605)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (605) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (606)  ( ~ (all_26_69 = all_26_70) & h4(all_26_243) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_70 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_99, all_26_102) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_69 & op1(e13, e12) = all_26_243 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_69) & $i(all_26_70) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_243)) | ( ~
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_71 = all_26_72) & h4(all_26_246) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_72 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_99, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_71 & op1(e13, e11) = all_26_246 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_71) & $i(all_26_72) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_246))
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (607)   ~ (all_26_69 = all_26_70) & h4(all_26_243) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_70 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_102 & op2(all_26_99, all_26_102) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_69 & op1(e13, e12) = all_26_243 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_69) & $i(all_26_70) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_243)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (608)   ~ (all_26_69 = all_26_70)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (609)  op1(e13, e12) = all_26_243
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  op2(all_26_99, all_26_102) = all_26_69
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (611)  h4(e12) = all_26_102
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)  h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)  h4(all_26_243) = all_26_70
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e10, all_26_243, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13, simplifying with (125), (609) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_26_243 = e10
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (611) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_26_102 = e22
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (612) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)  all_26_99 = e23
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (614) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  h4(e10) = all_26_70
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (610), (615), (616) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  op2(e23, e22) = all_26_69
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e20, all_26_69, e22, e23,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (129), (618) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  all_26_69 = e20
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_70, e10,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (617) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_26_70 = e20
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (619), (620) imply:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  $false
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (621) is inconsistent.
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)   ~ (all_26_71 = all_26_72) & h4(all_26_246) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_72 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_99, all_26_105) =
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_71 & op1(e13, e11) = all_26_246 &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_71) & $i(all_26_72) & $i(all_26_99) &
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_246)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (622) implies:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)   ~ (all_26_71 = all_26_72)
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  op1(e13, e11) = all_26_246
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)  op2(all_26_99, all_26_105) = all_26_71
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  h4(e11) = all_26_105
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  h4(e13) = all_26_99
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  h4(all_26_246) = all_26_72
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e14, all_26_246, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13, simplifying with (100), (624) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)  all_26_246 = e14
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (626) gives:
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  all_26_105 = e21
% 244.58/48.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (627) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)  all_26_99 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (629) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)  h4(e14) = all_26_72
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (630), (631) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  op2(e23, e21) = all_26_71
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_26_71, e21, e23,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (53), (633) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  all_26_71 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_72, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (632) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  all_26_72 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (634), (635) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (636) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  ( ~ (all_26_73 = all_26_74) & h4(all_26_249) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_74 & h4(e13) = all_26_99 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_99, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_73 & op1(e13, e10) = all_26_249 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_73) & $i(all_26_74) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_249)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_75 = all_26_76) & h4(all_26_252) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_76 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_75 & op1(e12, e14) = all_26_252 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_75) & $i(all_26_76) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_252)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_77 = all_26_78) & h4(all_26_255) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_78 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_77 & op1(e12, e13) = all_26_255 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_77) & $i(all_26_78) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_255))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (637) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)   ~ (all_26_73 = all_26_74) & h4(all_26_249) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_74 & h4(e13) = all_26_99 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_108 & op2(all_26_99, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_73 & op1(e13, e10) = all_26_249 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_73) & $i(all_26_74) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_108) & $i(all_26_249)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)   ~ (all_26_73 = all_26_74)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  op1(e13, e10) = all_26_249
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  op2(all_26_99, all_26_108) = all_26_73
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  h4(e10) = all_26_108
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  h4(e13) = all_26_99
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  h4(all_26_249) = all_26_74
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e13, all_26_249, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13, simplifying with (181), (640) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  all_26_249 = e13
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_108, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (642) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  all_26_108 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (643) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  all_26_99 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (644), (645) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  h4(e13) = all_26_74
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (646), (647) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  op2(e23, e20) = all_26_73
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_26_73, e20, e23,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (6), (649) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  all_26_73 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_74, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (648) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_26_74 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (650), (651) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (652) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  ( ~ (all_26_75 = all_26_76) & h4(all_26_252) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_76 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_75 & op1(e12, e14) = all_26_252 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_75) & $i(all_26_76) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_252)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_77 = all_26_78) & h4(all_26_255) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_78 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102 & op2(all_26_102, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_77 & op1(e12, e13) = all_26_255 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_77) & $i(all_26_78) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_255))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)   ~ (all_26_75 = all_26_76) & h4(all_26_252) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_76 & h4(e14) = all_26_96 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_102 & op2(all_26_102, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_75 & op1(e12, e14) = all_26_252 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_75) & $i(all_26_76) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_252)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)   ~ (all_26_75 = all_26_76)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  op1(e12, e14) = all_26_252
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  op2(all_26_102, all_26_96) = all_26_75
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  h4(e14) = all_26_96
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  h4(all_26_252) = all_26_76
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e11, all_26_252, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12, simplifying with (1), (656) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_26_252 = e11
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (658) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (659) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_26_96 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (661) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  h4(e11) = all_26_76
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (662), (663) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  op2(e22, e24) = all_26_75
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e21, all_26_75, e24, e22,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (298), (665) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_26_75 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_76, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (664) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  all_26_76 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (655), (666), (667) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (668) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)   ~ (all_26_77 = all_26_78) & h4(all_26_255) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_78 & h4(e13) = all_26_99 & h4(e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_102 & op2(all_26_102, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_77 & op1(e12, e13) = all_26_255 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_77) & $i(all_26_78) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_255)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (669) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)   ~ (all_26_77 = all_26_78)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  op1(e12, e13) = all_26_255
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  op2(all_26_102, all_26_99) = all_26_77
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  h4(e13) = all_26_99
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  h4(all_26_255) = all_26_78
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e14, all_26_255, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12, simplifying with (14), (671) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_26_255 = e14
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (673) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (674) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_26_99 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (676) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  h4(e14) = all_26_78
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (677), (678) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  op2(e22, e23) = all_26_77
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_26_77, e23, e22,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (416), (680) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  all_26_77 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_78, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (679) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  all_26_78 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (681), (682) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (683) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  ( ~ (all_26_79 = all_26_80) & h4(all_26_258) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_80 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_102, all_26_102) = all_26_79 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e12, e12) = all_26_258 & $i(all_26_79) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_80) & $i(all_26_102) & $i(all_26_258))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_102, all_26_105) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_81 & op1(e12, e11) = all_26_261 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_261)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_83 = all_26_84) & h4(all_26_264) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_102, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_83 & op1(e12, e10) = all_26_264 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_83) & $i(all_26_84) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_264)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_85 = all_26_86) & h4(all_26_267) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_86 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_85 & op1(e11, e14) = all_26_267 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_85) & $i(all_26_86) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_267)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_87 = all_26_88) & h4(all_26_270) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_88 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_87 & op1(e11, e13) = all_26_270 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_270)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_89 = all_26_90) & h4(all_26_273) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_102) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_89 & op1(e11, e12) = all_26_273 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_89) & $i(all_26_90) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_273)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_91 = all_26_92) & h4(all_26_276) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_92 & h4(e11) = all_26_105 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_105, all_26_105) = all_26_91 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e11, e11) = all_26_276 & $i(all_26_91) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_92) & $i(all_26_105) & $i(all_26_276))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) & 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_102 = e24) &  ~ (all_26_105 = e24) & 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_108 = e24) & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e23) &  ~ (all_26_105 = e23) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e22) &  ~ (all_26_99 = e22) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e22) &  ~ (all_26_105 = e22) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e22) & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e21) & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e20) &  ~ (all_26_105 = e20) &  ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | (h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & $i(all_26_108) & (( ~ (all_26_93 =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_94) & h4(all_26_279) = all_26_94 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_108) = all_26_93 & op1(e11, e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_279 & $i(all_26_93) & $i(all_26_94) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_105) & $i(all_26_279)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_96) & $i(all_26_97) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_283)) | ( ~ (all_26_98 =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_100) & h4(all_26_287) = all_26_100
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e12) = all_26_291 & $i(all_26_101)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_102) & $i(all_26_103) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_291)) | ( ~ (all_26_104 =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_106) & h4(all_26_295) = all_26_106
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e11) = all_26_105 & op2(all_26_108,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_105) = all_26_104 & op1(e10, e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_295 & $i(all_26_104) & $i(all_26_105)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_106) & $i(all_26_295)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_107) & $i(all_26_109) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_299))))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  ( ~ (all_26_79 = all_26_80) & h4(all_26_258) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_80 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_102, all_26_102) = all_26_79 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e12, e12) = all_26_258 & $i(all_26_79) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_80) & $i(all_26_102) & $i(all_26_258))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_102, all_26_105) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_81 & op1(e12, e11) = all_26_261 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_261)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_83 = all_26_84) & h4(all_26_264) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_102, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_83 & op1(e12, e10) = all_26_264 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_83) & $i(all_26_84) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_264)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_85 = all_26_86) & h4(all_26_267) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_86 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_85 & op1(e11, e14) = all_26_267 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_85) & $i(all_26_86) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_267)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_87 = all_26_88) & h4(all_26_270) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_88 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_87 & op1(e11, e13) = all_26_270 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_270)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_89 = all_26_90) & h4(all_26_273) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_102) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_89 & op1(e11, e12) = all_26_273 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_89) & $i(all_26_90) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_273))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (685) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  ( ~ (all_26_79 = all_26_80) & h4(all_26_258) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_80 & h4(e12) = all_26_102 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_102, all_26_102) = all_26_79 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e12, e12) = all_26_258 & $i(all_26_79) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_80) & $i(all_26_102) & $i(all_26_258))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_102, all_26_105) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_81 & op1(e12, e11) = all_26_261 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_261)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_83 = all_26_84) & h4(all_26_264) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_102, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_83 & op1(e12, e10) = all_26_264 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_83) & $i(all_26_84) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_264))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)   ~ (all_26_79 = all_26_80) & h4(all_26_258) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_80 & h4(e12) = all_26_102 & op2(all_26_102,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_102) = all_26_79 & op1(e12, e12) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_258 & $i(all_26_79) & $i(all_26_80) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_258)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)   ~ (all_26_79 = all_26_80)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  op1(e12, e12) = all_26_258
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  op2(all_26_102, all_26_102) = all_26_79
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  h4(all_26_258) = all_26_80
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e13, all_26_258, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12, simplifying with (2), (689) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_26_258 = e13
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (691) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (693) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  h4(e13) = all_26_80
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (694) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  op2(e22, e22) = all_26_79
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_26_79, e22, e22,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (282), (696) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_26_79 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_80, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (695) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  all_26_80 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (697), (698) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (699) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  ( ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_102, all_26_105) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_81 & op1(e12, e11) = all_26_261 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_261)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_83 = all_26_84) & h4(all_26_264) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & op2(all_26_102, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_83 & op1(e12, e10) = all_26_264 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_83) & $i(all_26_84) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_108) & $i(all_26_264))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)   ~ (all_26_81 = all_26_82) & h4(all_26_261) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_82 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_102, all_26_105) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_81 & op1(e12, e11) = all_26_261 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_81) & $i(all_26_82) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_261)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)   ~ (all_26_81 = all_26_82)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  op1(e12, e11) = all_26_261
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  op2(all_26_102, all_26_105) = all_26_81
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  h4(e11) = all_26_105
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  h4(all_26_261) = all_26_82
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e10, all_26_261, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12, simplifying with (42), (703) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_26_261 = e10
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (705) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_26_105 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (706) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (708) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  h4(e10) = all_26_82
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (709), (710) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  op2(e22, e21) = all_26_81
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e20, all_26_81, e21, e22,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (397), (712) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  all_26_81 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_82, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (711) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_26_82 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (713), (714) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (715) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)   ~ (all_26_83 = all_26_84) & h4(all_26_264) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_84 & h4(e12) = all_26_102 & h4(e10) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_108 & op2(all_26_102, all_26_108) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_83 & op1(e12, e10) = all_26_264 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_83) & $i(all_26_84) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_108) & $i(all_26_264)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)   ~ (all_26_83 = all_26_84)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  op1(e12, e10) = all_26_264
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  op2(all_26_102, all_26_108) = all_26_83
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  h4(e10) = all_26_108
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  h4(all_26_264) = all_26_84
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e12, all_26_264, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12, simplifying with (74), (718) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  all_26_264 = e12
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_108, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (720) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_26_108 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (721) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (723) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  h4(e12) = all_26_84
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (724), (725) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  op2(e22, e20) = all_26_83
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e22, all_26_83, e20, e22,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (410), (727) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_26_83 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_84, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (726) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_26_84 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (728), (729) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (730) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  ( ~ (all_26_85 = all_26_86) & h4(all_26_267) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_86 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_85 & op1(e11, e14) = all_26_267 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_85) & $i(all_26_86) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_267)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_87 = all_26_88) & h4(all_26_270) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_88 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_87 & op1(e11, e13) = all_26_270 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_270)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_89 = all_26_90) & h4(all_26_273) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_102) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_89 & op1(e11, e12) = all_26_273 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_89) & $i(all_26_90) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_273))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)   ~ (all_26_85 = all_26_86) & h4(all_26_267) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_86 & h4(e14) = all_26_96 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_105, all_26_96) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_85 & op1(e11, e14) = all_26_267 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_85) & $i(all_26_86) & $i(all_26_96) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_267)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)   ~ (all_26_85 = all_26_86)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  op1(e11, e14) = all_26_267
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  op2(all_26_105, all_26_96) = all_26_85
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  h4(e11) = all_26_105
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  h4(e14) = all_26_96
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  h4(all_26_267) = all_26_86
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e13, all_26_267, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11, simplifying with (213), (734) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_26_267 = e13
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (736) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_26_105 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (737) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_26_96 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (739) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  h4(e13) = all_26_86
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (740), (741) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  op2(e21, e24) = all_26_85
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_26_85, e24, e21,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (277), (743) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_26_85 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_86, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (742) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  all_26_86 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (744), (745) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (746) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  ( ~ (all_26_87 = all_26_88) & h4(all_26_270) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_88 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_87 & op1(e11, e13) = all_26_270 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_270)) | ( ~
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_89 = all_26_90) & h4(all_26_273) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_105, all_26_102) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_89 & op1(e11, e12) = all_26_273 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_89) & $i(all_26_90) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_273))
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)   ~ (all_26_87 = all_26_88) & h4(all_26_270) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_88 & h4(e13) = all_26_99 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_105, all_26_99) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_87 & op1(e11, e13) = all_26_270 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_87) & $i(all_26_88) & $i(all_26_99) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_270)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)   ~ (all_26_87 = all_26_88)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  op1(e11, e13) = all_26_270
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  op2(all_26_105, all_26_99) = all_26_87
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  h4(e11) = all_26_105
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  h4(e13) = all_26_99
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  h4(all_26_270) = all_26_88
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e10, all_26_270, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11, simplifying with (60), (750) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_26_270 = e10
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (752) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_26_105 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (753) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_26_99 = e23
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (755) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  h4(e10) = all_26_88
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (756), (757) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  op2(e21, e23) = all_26_87
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e20, all_26_87, e23, e21,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (426), (759) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_26_87 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_88, e10,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (758) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_26_88 = e20
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (760), (761) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  $false
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (762) is inconsistent.
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)   ~ (all_26_89 = all_26_90) & h4(all_26_273) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_90 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & op2(all_26_105, all_26_102) =
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_89 & op1(e11, e12) = all_26_273 &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_89) & $i(all_26_90) & $i(all_26_102) &
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_273)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (763) implies:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)   ~ (all_26_89 = all_26_90)
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  op1(e11, e12) = all_26_273
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  op2(all_26_105, all_26_102) = all_26_89
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  h4(e11) = all_26_105
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  h4(e12) = all_26_102
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  h4(all_26_273) = all_26_90
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e14, all_26_273, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11, simplifying with (138), (765) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_26_273 = e14
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (767) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_26_105 = e21
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (768) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_26_102 = e22
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (770) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  h4(e14) = all_26_90
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (771), (772) imply:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  op2(e21, e22) = all_26_89
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_26_89, e22, e21,
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (492), (774) gives:
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)  all_26_89 = e24
% 244.58/48.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_90, e14,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (773) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_26_90 = e24
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (775), (776) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (777) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  ( ~ (all_26_91 = all_26_92) & h4(all_26_276) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_92 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_105, all_26_105) = all_26_91 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e11, e11) = all_26_276 & $i(all_26_91) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_92) & $i(all_26_105) & $i(all_26_276))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) & 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_102 = e24) &  ~ (all_26_105 = e24) & 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_108 = e24) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e23) &  ~ (all_26_105 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e22) &  ~ (all_26_99 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e22) &  ~ (all_26_105 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e22) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e21) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e20) &  ~ (all_26_105 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | (h4(e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & $i(all_26_108) & (( ~ (all_26_93 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_94) & h4(all_26_279) = all_26_94 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_108) = all_26_93 & op1(e11, e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_279 & $i(all_26_93) & $i(all_26_94) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_105) & $i(all_26_279)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_96) & $i(all_26_97) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_283)) | ( ~ (all_26_98 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_100) & h4(all_26_287) = all_26_100
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e12) = all_26_291 & $i(all_26_101)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_291)) | ( ~ (all_26_104 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_106) & h4(all_26_295) = all_26_106
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e11) = all_26_105 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_105) = all_26_104 & op1(e10, e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_295 & $i(all_26_104) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_106) & $i(all_26_295)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_107) & $i(all_26_109) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_299))))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (778) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  ( ~ (all_26_91 = all_26_92) & h4(all_26_276) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_92 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_105, all_26_105) = all_26_91 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e11, e11) = all_26_276 & $i(all_26_91) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_92) & $i(all_26_105) & $i(all_26_276))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) & 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_102 = e24) &  ~ (all_26_105 = e24) & 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_26_108 = e24) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e23) &  ~ (all_26_105 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (779) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)   ~ (all_26_91 = all_26_92) & h4(all_26_276) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_92 & h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105) = all_26_91 & op1(e11, e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_276 & $i(all_26_91) & $i(all_26_92) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_276)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (780) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)   ~ (all_26_91 = all_26_92)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  op1(e11, e11) = all_26_276
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  op2(all_26_105, all_26_105) = all_26_91
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  h4(e11) = all_26_105
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  h4(all_26_276) = all_26_92
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e12, all_26_276, e11,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11, simplifying with (208), (782) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_26_276 = e12
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (784) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  all_26_105 = e21
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (786) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  h4(e12) = all_26_92
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (787) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  op2(e21, e21) = all_26_91
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e22, all_26_91, e21, e21,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (464), (789) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  all_26_91 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_92, e12,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (788) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  all_26_92 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (790), (791) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (792) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  ( ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e24) &  ~ (all_26_105 = e24) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e24) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e23) &  ~ (all_26_105 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e23) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (793) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)   ~ (all_26_96 = e24) &  ~ (all_26_99 = e24) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_102 = e24) &  ~ (all_26_105 = e24) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_108 = e24) & h4(e14) = all_26_96 & h4(e13)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & h4(e10) = all_26_108 & $i(all_26_96)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_99) & $i(all_26_102) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_108)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (794) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)   ~ (all_26_96 = e24)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  h4(e14) = all_26_96
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (796) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  all_26_96 = e24
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (797) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (798) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)   ~ (all_26_96 = e23) &  ~ (all_26_99 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_102 = e23) &  ~ (all_26_105 = e23) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_108 = e23) & h4(e14) = all_26_96 & h4(e13)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & h4(e10) = all_26_108 & $i(all_26_96)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_99) & $i(all_26_102) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_108)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (799) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)   ~ (all_26_99 = e23)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)  h4(e13) = all_26_99
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (801) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  all_26_99 = e23
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (802) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (803) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  ( ~ (all_26_96 = e22) &  ~ (all_26_99 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e22) &  ~ (all_26_105 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e22) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e21) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e20) &  ~ (all_26_105 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | (h4(e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & $i(all_26_108) & (( ~ (all_26_93 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_94) & h4(all_26_279) = all_26_94 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_108) = all_26_93 & op1(e11, e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_279 & $i(all_26_93) & $i(all_26_94) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_105) & $i(all_26_279)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_96) & $i(all_26_97) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_283)) | ( ~ (all_26_98 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_100) & h4(all_26_287) = all_26_100
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e12) = all_26_291 & $i(all_26_101)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_291)) | ( ~ (all_26_104 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_106) & h4(all_26_295) = all_26_106
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e11) = all_26_105 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_105) = all_26_104 & op1(e10, e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_295 & $i(all_26_104) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_106) & $i(all_26_295)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_107) & $i(all_26_109) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_299))))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (804) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  ( ~ (all_26_96 = e22) &  ~ (all_26_99 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e22) &  ~ (all_26_105 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e22) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e21) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)   ~ (all_26_96 = e22) &  ~ (all_26_99 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_102 = e22) &  ~ (all_26_105 = e22) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_108 = e22) & h4(e14) = all_26_96 & h4(e13)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & h4(e10) = all_26_108 & $i(all_26_96)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_99) & $i(all_26_102) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_108)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)   ~ (all_26_102 = e22)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  h4(e12) = all_26_102
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (808) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  all_26_102 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (809) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (810) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)   ~ (all_26_96 = e21) &  ~ (all_26_99 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_102 = e21) &  ~ (all_26_105 = e21) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_108 = e21) & h4(e14) = all_26_96 & h4(e13)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & h4(e10) = all_26_108 & $i(all_26_96)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_99) & $i(all_26_102) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_108)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (811) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)   ~ (all_26_105 = e21)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  h4(e11) = all_26_105
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (813) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  all_26_105 = e21
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (814) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (815) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)  ( ~ (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_102 = e20) &  ~ (all_26_105 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_26_108 = e20) & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e13) = all_26_99 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            h4(e11) = all_26_105 & h4(e10) = all_26_108 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_99) & $i(all_26_102) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_108)) | (h4(e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108 & $i(all_26_108) & (( ~ (all_26_93 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_94) & h4(all_26_279) = all_26_94 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_108) = all_26_93 & op1(e11, e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_279 & $i(all_26_93) & $i(all_26_94) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_105) & $i(all_26_279)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_96) & $i(all_26_97) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_283)) | ( ~ (all_26_98 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_100) & h4(all_26_287) = all_26_100
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op1(e10, e12) = all_26_291 & $i(all_26_101)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_291)) | ( ~ (all_26_104 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_106) & h4(all_26_295) = all_26_106
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & h4(e11) = all_26_105 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_26_105) = all_26_104 & op1(e10, e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_295 & $i(all_26_104) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_26_106) & $i(all_26_295)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_107) & $i(all_26_109) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_26_299))))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)   ~ (all_26_96 = e20) &  ~ (all_26_99 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_102 = e20) &  ~ (all_26_105 = e20) &  ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_26_108 = e20) & h4(e14) = all_26_96 & h4(e13)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_26_99 & h4(e12) = all_26_102 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_105 & h4(e10) = all_26_108 & $i(all_26_96)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_99) & $i(all_26_102) & $i(all_26_105)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_26_108)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (817) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)   ~ (all_26_108 = e20)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  h4(e10) = all_26_108
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_108, e10,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (819) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  all_26_108 = e20
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (820) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (821) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  h4(e10) = all_26_108 & $i(all_26_108) & (( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_94 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op2(all_26_105, all_26_108) = all_26_93 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op1(e11, e10) = all_26_279 & $i(all_26_93) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_94) & $i(all_26_105) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_279)) | ( ~ (all_26_95 = all_26_97)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & h4(all_26_283) = all_26_97 & h4(e14) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_96 & op2(all_26_108, all_26_96) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_95 & op1(e10, e14) = all_26_283 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_95) & $i(all_26_96) & $i(all_26_97)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_26_283)) | ( ~ (all_26_98 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_100) & h4(all_26_287) = all_26_100 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_100) & $i(all_26_287)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op1(e10, e12) = all_26_291 & $i(all_26_101) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_291)) | ( ~ (all_26_104 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_106) & h4(all_26_295) = all_26_106 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              h4(e11) = all_26_105 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_26_105) = all_26_104 & op1(e10, e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_295 & $i(all_26_104) & $i(all_26_105) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_106) & $i(all_26_295)) | ( ~
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_107) & $i(all_26_109) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_299)))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (822) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)  h4(e10) = all_26_108
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)  ( ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_94 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_105, all_26_108) = all_26_93 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e11, e10) = all_26_279 & $i(all_26_93) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_94) & $i(all_26_105) & $i(all_26_279))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_97) & $i(all_26_283))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_100 & h4(e13) = all_26_99 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_99) = all_26_98 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e13) = all_26_287 & $i(all_26_98) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_100) & $i(all_26_287))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e12) = all_26_291 & $i(all_26_101) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_291)) | ( ~ (all_26_104 = all_26_106)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(all_26_295) = all_26_106 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_108, all_26_105) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_104 & op1(e10, e11) = all_26_295 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_104) & $i(all_26_105) & $i(all_26_106)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_26_295)) | ( ~ (all_26_107 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_109) & h4(all_26_299) = all_26_109 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_108) = all_26_107 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e10) = all_26_299 & $i(all_26_107) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_109) & $i(all_26_299))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_108, e10,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (823) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  all_26_108 = e20
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (824) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  ( ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_94 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_105, all_26_108) = all_26_93 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e11, e10) = all_26_279 & $i(all_26_93) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_94) & $i(all_26_105) & $i(all_26_279))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_97) & $i(all_26_283))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_100 & h4(e13) = all_26_99 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_99) = all_26_98 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e13) = all_26_287 & $i(all_26_98) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_100) & $i(all_26_287))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)   ~ (all_26_93 = all_26_94) & h4(all_26_279) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_94 & h4(e11) = all_26_105 & op2(all_26_105,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_108) = all_26_93 & op1(e11, e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_279 & $i(all_26_93) & $i(all_26_94) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_279)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (827) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)   ~ (all_26_93 = all_26_94)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  op1(e11, e10) = all_26_279
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)  op2(all_26_105, all_26_108) = all_26_93
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)  h4(e11) = all_26_105
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)  h4(all_26_279) = all_26_94
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (830) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)  op2(all_26_105, e20) = all_26_93
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e11, all_26_279, e10,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11, simplifying with (188), (829) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  all_26_279 = e11
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (831) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  all_26_105 = e21
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (834) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  h4(e11) = all_26_94
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (835) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  op2(e21, e20) = all_26_93
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e21, all_26_93, e20, e21,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (488), (837) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)  all_26_93 = e21
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_94, e11,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (836) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)  all_26_94 = e21
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (838), (839) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (840) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  ( ~ (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_97 & h4(e14) = all_26_96 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_96) = all_26_95 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e14) = all_26_283 & $i(all_26_95) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_96) & $i(all_26_97) & $i(all_26_283))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | ( ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_100 & h4(e13) = all_26_99 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_99) = all_26_98 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e13) = all_26_287 & $i(all_26_98) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_99) & $i(all_26_100) & $i(all_26_287))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (841) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)   ~ (all_26_95 = all_26_97) & h4(all_26_283) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_97 & h4(e14) = all_26_96 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_96) = all_26_95 & op1(e10, e14) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_283 & $i(all_26_95) & $i(all_26_96) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_97) & $i(all_26_283)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (842) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)   ~ (all_26_95 = all_26_97)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)  op1(e10, e14) = all_26_283
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  op2(all_26_108, all_26_96) = all_26_95
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  h4(e14) = all_26_96
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  h4(all_26_283) = all_26_97
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (845) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  op2(e20, all_26_96) = all_26_95
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e14, all_26_283, e14,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10, simplifying with (67), (844) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  all_26_283 = e14
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_96, e14,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (846) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_26_96 = e24
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (849) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  h4(e14) = all_26_97
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (850) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  op2(e20, e24) = all_26_95
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_26_95, e24, e20,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (293), (852) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_26_95 = e24
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e24, all_26_97, e14,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (851) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_26_97 = e24
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (843), (853), (854) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (855) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)   ~ (all_26_98 = all_26_100) & h4(all_26_287) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_100 & h4(e13) = all_26_99 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_99) = all_26_98 & op1(e10, e13) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_287 & $i(all_26_98) & $i(all_26_99) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_100) & $i(all_26_287)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (856) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)   ~ (all_26_98 = all_26_100)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  op1(e10, e13) = all_26_287
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  op2(all_26_108, all_26_99) = all_26_98
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  h4(e13) = all_26_99
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  h4(all_26_287) = all_26_100
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (859) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  op2(e20, all_26_99) = all_26_98
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e13, all_26_287, e13,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10, simplifying with (63), (858) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_26_287 = e13
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_99, e13,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (860) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  all_26_99 = e23
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (863) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  h4(e13) = all_26_100
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (864) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  op2(e20, e23) = all_26_98
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_26_98, e23, e20,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (7), (866) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)  all_26_98 = e23
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e23, all_26_100, e13,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (71), (865) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)  all_26_100 = e23
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (867), (868) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (869) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)  ( ~ (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e12) = all_26_291 & $i(all_26_101) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_102) & $i(all_26_103) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_291)) | ( ~ (all_26_104 = all_26_106)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(all_26_295) = all_26_106 & h4(e11) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_105 & op2(all_26_108, all_26_105) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_104 & op1(e10, e11) = all_26_295 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_104) & $i(all_26_105) & $i(all_26_106)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_26_295)) | ( ~ (all_26_107 =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_109) & h4(all_26_299) = all_26_109 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_108) = all_26_107 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e10) = all_26_299 & $i(all_26_107) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_109) & $i(all_26_299))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (870) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)   ~ (all_26_101 = all_26_103) & h4(all_26_291) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_103 & h4(e12) = all_26_102 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op2(all_26_108, all_26_102) = all_26_101 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op1(e10, e12) = all_26_291 & $i(all_26_101) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_102) & $i(all_26_103) & $i(all_26_291)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (871) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)   ~ (all_26_101 = all_26_103)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)  op1(e10, e12) = all_26_291
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)  op2(all_26_108, all_26_102) = all_26_101
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)  h4(e12) = all_26_102
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)  h4(all_26_291) = all_26_103
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (874) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)  op2(e20, all_26_102) = all_26_101
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e12, all_26_291, e12,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10, simplifying with (29), (873) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)  all_26_291 = e12
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_102, e12,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (875) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)  all_26_102 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (878) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)  h4(e12) = all_26_103
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (877), (879) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)  op2(e20, e22) = all_26_101
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e22, all_26_101, e22, e20,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (443), (881) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)  all_26_101 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e22, all_26_103, e12,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (231), (880) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  all_26_103 = e22
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (882), (883) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  $false
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (884) is inconsistent.
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)  ( ~ (all_26_104 = all_26_106) & h4(all_26_295) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_106 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op2(all_26_108, all_26_105) = all_26_104 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op1(e10, e11) = all_26_295 & $i(all_26_104) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_105) & $i(all_26_106) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_295)) | ( ~ (all_26_107 = all_26_109)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & h4(all_26_299) = all_26_109 & op2(all_26_108,
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_108) = all_26_107 & op1(e10, e10) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_26_299 & $i(all_26_107) & $i(all_26_109) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_299))
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)   ~ (all_26_104 = all_26_106) & h4(all_26_295) =
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_106 & h4(e11) = all_26_105 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op2(all_26_108, all_26_105) = all_26_104 &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op1(e10, e11) = all_26_295 & $i(all_26_104) &
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_105) & $i(all_26_106) & $i(all_26_295)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)   ~ (all_26_104 = all_26_106)
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)  op1(e10, e11) = all_26_295
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  op2(all_26_108, all_26_105) = all_26_104
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  h4(e11) = all_26_105
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)  h4(all_26_295) = all_26_106
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (889) imply:
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)  op2(e20, all_26_105) = all_26_104
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e11, all_26_295, e11,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10, simplifying with (38), (888) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  all_26_295 = e11
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_105, e11,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (890) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)  all_26_105 = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (893) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)  h4(e11) = all_26_106
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (894) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  op2(e20, e21) = all_26_104
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e21, all_26_104, e21, e20,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (449), (896) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)  all_26_104 = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_26_106, e11,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (895) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)  all_26_106 = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (897), (898) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  $false
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (899) is inconsistent.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)   ~ (all_26_107 = all_26_109) & h4(all_26_299) =
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_109 & op2(all_26_108, all_26_108) =
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_26_107 & op1(e10, e10) = all_26_299 &
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_107) & $i(all_26_109) & $i(all_26_299)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (900) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)   ~ (all_26_107 = all_26_109)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)  op1(e10, e10) = all_26_299
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)  op2(all_26_108, all_26_108) = all_26_107
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)  h4(all_26_299) = all_26_109
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (903) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)  op2(e20, e20) = all_26_107
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with e10, all_26_299, e10,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10, simplifying with (214), (902) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_26_299 = e10
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e20, all_26_107, e20, e20,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (61), (905) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  all_26_107 = e20
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (907) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)   ~ (all_26_109 = e20)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)   ~ (all_26_109 = e20)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (904), (906) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)  h4(e10) = all_26_109
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_26_109, e10,
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (910) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)  all_26_109 = e20
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (911) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  $false
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (912) is inconsistent.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (913) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (80), (175), (914) are inconsistent by
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (915) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)  all_24_19 = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (44), (51), (53), (55), (57), (66), (68),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (80), (89), (105), (107), (109), (113),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (129), (139), (155), (183), (187), (196),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (203), (215), (223), (232), (410), (916)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #735.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (183), (917) are inconsistent by sub-proof
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (918) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (919) are inconsistent by sub-proof #734.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (105), (473), (920) are inconsistent by
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_24_17 = e24 & op2(e23, e20) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (921) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  all_24_17 = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (129),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (232), (922) are inconsistent by
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (409), (924) are inconsistent by sub-proof
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #802.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (926) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  all_24_19 = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (44), (51), (53), (55), (57), (66), (68),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (80), (89), (105), (107), (109), (113),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (129), (139), (155), (183), (187), (196),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (203), (215), (223), (232), (410), (927)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #735.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_24_24 = e24 & op2(e20, e20) = e24
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (928) are inconsistent by sub-proof
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #768.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (929) are inconsistent by sub-proof #730.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (183), (930) are inconsistent by sub-proof
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (931) are inconsistent by sub-proof #729.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (932) implies:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_24_21 = e20
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (933) imply:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  e23 = e20
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (934) are inconsistent
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #833.
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.58/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |   (935)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (935) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (281), (936) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (119), (163), (938) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  all_24_18 = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (409), (940) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            #728.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |   (941)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (80), (87), (941) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (942)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.67  | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | BETA: splitting (942) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (943)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (276), (943) are inconsistent by sub-proof #747.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (944)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | ALPHA: (944) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (945)  all_24_20 = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (946)  op2(e20, e24) = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (53), (55), (57), (68), (70), (76), (80), (92),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (93), (101), (105), (107), (113), (139), (155),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (196), (197), (199),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (203), (945), (946) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            #766.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | |   (947)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.67  | | | | | | | | | | | | | | |            (170), (196), (199), (947) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | |   (948)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | BETA: splitting (948) gives:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | |   (949)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | ALPHA: (949) implies:
% 244.63/48.67  | | | | | | | | | | | | | | |   (950)  all_24_22 = e24
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (951)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 244.63/48.67  | | | | | | | | | | | | | | | |            = e22 & op2(e23, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.67  | | | | | | | | | | | | | | | |            (80), (88), (89), (93), (105), (113), (129),
% 244.63/48.67  | | | | | | | | | | | | | | | |            (151), (152), (176), (183), (185), (187), (190),
% 244.63/48.67  | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (250), (254),
% 244.63/48.67  | | | | | | | | | | | | | | | |            (951) are inconsistent by sub-proof #857.
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (952)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | |          (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (953)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | ALPHA: (953) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (954)  all_24_8 = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.63/48.67  | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.63/48.67  | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.63/48.67  | | | | | | | | | | | | | | | | |            (210), (232), (266), (284), (954) are inconsistent
% 244.63/48.67  | | | | | | | | | | | | | | | | |            by sub-proof #807.
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (955)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | | |          (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | BETA: splitting (955) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (956)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (57), (66), (68), (70),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (73), (76), (80), (85), (89), (92), (93), (96),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (101), (105), (107), (109), (113), (129), (134),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (139), (151), (155), (160), (166), (169), (170),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (171), (172), (176), (180), (183), (184), (187),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (203), (215), (220),
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            (227), (229), (232), (281), (956) are inconsistent
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            by sub-proof #721.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (957)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (958)  all_24_22 = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (950), (958) imply:
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (959)  e24 = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | REDUCE: (187), (959) imply:
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (960)  $false
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | CLOSE: (960) is inconsistent.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | |   (961)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (80), (171), (203), (961) are
% 244.63/48.67  | | | | | | | | | | | | | | |            inconsistent by sub-proof #720.
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | |   (962)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.63/48.67  | | | | | | | | | | | | |          (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | REF_CLOSE: (37), (45), (80), (107), (270), (962) are
% 244.63/48.67  | | | | | | | | | | | | |            inconsistent by sub-proof #717.
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | |   (963)  all_24_20 = e23 & op2(e20, e24) = e23
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | REF_CLOSE: (44), (64), (80), (963) are inconsistent by
% 244.63/48.67  | | | | | | | | | | |            sub-proof #716.
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | 
% 244.63/48.67  | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | 
% 244.63/48.67  | | | | | | | |   (964)   ~ (all_20_15 = e23)
% 244.63/48.67  | | | | | | | | 
% 244.63/48.67  | | | | | | | | REDUCE: (35), (964) imply:
% 244.63/48.67  | | | | | | | |   (965)   ~ (all_16_3 = e23)
% 244.63/48.67  | | | | | | | | 
% 244.63/48.67  | | | | | | | | BETA: splitting (103) gives:
% 244.63/48.67  | | | | | | | | 
% 244.63/48.67  | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | |   (966)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13
% 244.63/48.67  | | | | | | | | |            = e23 & op2(e21, e23) = e23)
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.67  | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129), (151),
% 244.63/48.67  | | | | | | | | |            (166), (183), (187), (189), (190), (196), (197),
% 244.63/48.67  | | | | | | | | |            (215), (227), (229), (232), (965), (966) are
% 244.63/48.67  | | | | | | | | |            inconsistent by sub-proof #714.
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | |   (967)  (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15
% 244.63/48.67  | | | | | | | | |            = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 &
% 244.63/48.67  | | | | | | | | |            op2(e21, e20) = e23)
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | BETA: splitting (967) gives:
% 244.63/48.67  | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | |   (968)  all_24_14 = e23 & op2(e21, e22) = e23
% 244.63/48.67  | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | ALPHA: (968) implies:
% 244.63/48.67  | | | | | | | | | |   (969)  all_24_14 = e23
% 244.63/48.67  | | | | | | | | | |   (970)  op2(e21, e22) = e23
% 244.63/48.67  | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | BETA: splitting (146) gives:
% 244.63/48.67  | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | |   (971)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2
% 244.63/48.67  | | | | | | | | | | |            = e23 & op2(e23, e24) = e23)
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | REF_CLOSE: (5), (68), (80), (85), (239), (971) are
% 244.63/48.67  | | | | | | | | | | |            inconsistent by sub-proof #914.
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | |   (972)  (all_24_6 = e23 & op2(e22, e24) = e23) |
% 244.63/48.67  | | | | | | | | | | |          (all_24_12 = e23 & op2(e21, e24) = e23) |
% 244.63/48.67  | | | | | | | | | | |          (all_24_20 = e23 & op2(e20, e24) = e23)
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | BETA: splitting (972) gives:
% 244.63/48.67  | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | |   (973)  all_24_6 = e23 & op2(e22, e24) = e23
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | ALPHA: (973) implies:
% 244.63/48.67  | | | | | | | | | | | |   (974)  all_24_6 = e23
% 244.63/48.67  | | | | | | | | | | | |   (975)  op2(e22, e24) = e23
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_13, e23, e22, e21,
% 244.63/48.67  | | | | | | | | | | | |              simplifying with (37), (970) gives:
% 244.63/48.67  | | | | | | | | | | | |   (976)  all_16_13 = e23
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_2, e23, e24, e22,
% 244.63/48.67  | | | | | | | | | | | |              simplifying with (62), (975) gives:
% 244.63/48.67  | | | | | | | | | | | |   (977)  all_16_2 = e23
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | REDUCE: (145), (977) imply:
% 244.63/48.67  | | | | | | | | | | | |   (978)   ~ (all_16_7 = e23)
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | REDUCE: (116), (977) imply:
% 244.63/48.67  | | | | | | | | | | | |   (979)   ~ (all_16_17 = e23)
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | SIMP: (979) implies:
% 244.63/48.67  | | | | | | | | | | | |   (980)   ~ (all_16_17 = e23)
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | REDUCE: (126), (976) imply:
% 244.63/48.67  | | | | | | | | | | | |   (981)   ~ (all_16_23 = e23)
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.63/48.67  | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | |   (982)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.63/48.67  | | | | | | | | | | | | |            = e24 & op2(e23, e23) = e24)
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | BETA: splitting (982) gives:
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | |   (983)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | REF_CLOSE: (151), (187), (983) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | |            #870.
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | |   (984)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | REF_CLOSE: (105), (229), (984) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | |            #1323.
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | |   (985)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.63/48.67  | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.67  | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | BETA: splitting (985) gives:
% 244.63/48.67  | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | |   (986)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | ALPHA: (986) implies:
% 244.63/48.67  | | | | | | | | | | | | | |   (987)  all_24_7 = e24
% 244.63/48.67  | | | | | | | | | | | | | |   (988)  op2(e22, e23) = e24
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.63/48.67  | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | |   (989)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 244.63/48.67  | | | | | | | | | | | | | | |            = e20 & op2(e23, e23) = e20)
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (990)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (990) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (991)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | REF_CLOSE: (57), (80), (183), (991) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | |            sub-proof #1306.
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | |   (992)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 244.63/48.67  | | | | | | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.67  | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (993)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | |   (994)  all_24_7 = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | REF_CLOSE: (49), (987), (994) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | |            #869.
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | |   (995)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.67  | | | | | | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | BETA: splitting (995) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (996)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (997)  all_24_13 = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | |   (998)  op2(e21, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (999)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.67  | | | | | | | | | | | | | | | | | |            = e20 & op2(e22, e23) = e20)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | BETA: splitting (999) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1000)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | ALPHA: (1000) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1001)  op2(e22, e24) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_2, e20, e24, e22,
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |              simplifying with (62), (1001) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1002)  all_16_2 = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | REDUCE: (257), (1002) imply:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1003)  $false
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | CLOSE: (1003) is inconsistent.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1004)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (987), (1004) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |            #847.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | |   (1005)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | BETA: splitting (1005) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1006)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | ALPHA: (1006) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | |   (1007)  all_24_8 = e20
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |   (1008)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |            (80), (88), (89), (93), (105), (113), (129),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |            (151), (152), (176), (183), (185), (187), (190),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (250), (254),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |            (1008) are inconsistent by sub-proof #857.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |   (1009)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1009) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |   (1010)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1010) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |   (1011)  all_24_8 = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (1007), (1011)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #713.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |   (1012)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |   (1013)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (969), (1013) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |   (1014)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1014) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |   (1015)  all_24_22 = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | |   (1016)  op2(e20, e22) = e22
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | |   (1017)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1017) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1018)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1018) implies:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_24_4 = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1020)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1020) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1021)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (987), (1019), (1021) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #711.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1022)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1022) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1023)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1024)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1007), (1024) are inconsistent by sub-proof
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            #710.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1025)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (54), (56), (57), (66), (68),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (93), (105), (113), (118),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (151), (166), (176), (177), (183),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (192), (196), (197), (199), (210),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (969), (987), (997),
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1015), (1025) are inconsistent by sub-proof #708.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1026)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (129), (183), (1026) are inconsistent by
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | |   (1027)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1028)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1028) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1029)  all_24_8 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1007), (1029) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1030)  e21 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1030) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1031)  e21 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (1031) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1032)  $false
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1032) is inconsistent.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1033)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1033) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1034)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |            (969), (1034) are inconsistent by sub-proof #707.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1035)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (1016), (1035) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #763.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |   (1036)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (1036) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1037)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1038)  op2(e22, e21) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_8, e20, e23, e21,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |              simplifying with (76), (998) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1039)  all_16_8 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_17, e20, e21, e22,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |              simplifying with (163), (1038) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1040)  all_16_17 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_7, e24, e23, e22,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |              simplifying with (170), (988) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1041)  all_16_7 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1041) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1042)   ~ (all_4_2 = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | SIMP: (1042) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1043)   ~ (all_4_2 = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1039) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1044)   ~ (e21 = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1040) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1045)   ~ (all_16_19 = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1040) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1046)   ~ (e24 = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1047)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (92), (93), (105), (113),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (170), (176), (180), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (215), (227),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (229), (232), (1047) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            #775.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1048)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |   (1049)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1049) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |   (1050)  all_24_22 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1051)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1051) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1052)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1052) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1053)  all_24_4 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1054)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1055)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (183), (187),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (250), (1055)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #883.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1056)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (93), (113), (1056) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1057)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1057) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1058)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (987), (1053), (1058) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #706.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1059)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1060)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (1060) are inconsistent by sub-proof #734.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1061)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (55), (70), (80), (105), (107), (109),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (139), (155), (203), (1061) are
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #800.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1062)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1062) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1063)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1063) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (202), (1043), (1064) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (54), (56), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (93), (105), (113), (118),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (151), (166), (176), (177), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (192), (196), (197), (199), (210),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (969), (987), (997),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |            (1050), (1065) are inconsistent by sub-proof #708.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |   (1066)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1066) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1067)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (1067) are inconsistent by sub-proof #730.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1068)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (1068)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #722.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1069)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (80), (87), (1069) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1070)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.68  | | | | | | | | | | | | | | | | |            (86), (89), (105), (113), (129), (183), (187),
% 244.63/48.68  | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (1070) are
% 244.63/48.68  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #846.
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | |   (1071)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 244.63/48.68  | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | |   (1072)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | ALPHA: (1072) implies:
% 244.63/48.68  | | | | | | | | | | | | | | |   (1073)  all_24_13 = e24
% 244.63/48.68  | | | | | | | | | | | | | | |   (1074)  op2(e21, e23) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | |   (1075)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | BETA: splitting (1075) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1076)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | ALPHA: (1076) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1077)  all_24_12 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | |   (1078)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.63/48.68  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.63/48.68  | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (176), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (220), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | |            (250), (1078) are inconsistent by sub-proof #882.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | |   (1079)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |   (1080)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (974), (1080) are inconsistent by sub-proof #704.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |   (1081)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (53), (55), (57), (68), (70), (76), (80), (92),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (93), (101), (105), (107), (113), (139), (155),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (183), (196), (197),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            (199), (203), (1077), (1081) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            sub-proof #702.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1082)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1073), (1082) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | |            #867.
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | |   (1083)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | BETA: splitting (1083) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1084)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.68  | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.63/48.68  | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (969), (1084) are
% 244.63/48.68  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #701.
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | |   (1085)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | BETA: splitting (1085) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | |   (1086)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | ALPHA: (1086) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | |   (1087)  all_24_15 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | |   (1088)  op2(e21, e21) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |   (1089)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (76), (80), (189), (205), (1089) are
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |   (1090)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (1090) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1091)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |            (210), (232), (969), (1091) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |   (1092)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1092) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1093)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1093) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1094)  all_24_15 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (1087), (1094)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #785.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1095)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1095) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1096)  all_24_19 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | |   (1097)  op2(e21, e20) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |   (1098)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1099)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (1099) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (80), (183), (1100) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |   (1101)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1101) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1102) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1103)  all_24_7 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | |   (1104)  op2(e22, e23) = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  all_24_12 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)  op2(e21, e24) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (176), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (250),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1109) are inconsistent by sub-proof #696.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (166), (183), (187), (190), (196), (197),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (974), (1073), (1111)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #695.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  all_24_12 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1107), (1114) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  e24 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1115) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  e24 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1073), (1116) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_24_13 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1103), (1117) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  op2(e20, e24) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_4, e24, e24, e20,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (1119) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  all_16_4 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_23, e22, e20, e21,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (212), (1097) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_16_23 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_6_2, e20, e21, e21,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (175), (1088) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  all_6_2 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_8, e24, e23, e21,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (76), (1074) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  all_16_8 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_3, e21, e24, e21,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (189), (1108) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_16_3 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_7, e20, e23, e22,
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (170), (1104) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  all_16_7 = e20
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (965), (1124) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)   ~ (e23 = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1124) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)   ~ (e22 = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1120) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)   ~ (all_16_19 = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (1125) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)   ~ (e21 = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (1121) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)   ~ (e23 = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1122) imply:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)   ~ (e24 = e20)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1132) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  all_24_4 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e23) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1135) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (93), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (117), (127), (129), (155), (183), (187),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (250), (1136)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #883.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (93), (113), (1137) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1139) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_24_4 = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1134), (1140) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #852.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1141) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (1142) are inconsistent by sub-proof #734.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (55), (70), (80), (105), (107), (109),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (139), (155), (203), (1143) are
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #800.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1144) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1322.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1145)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1145) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1146)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1146) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1147)  all_24_8 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1148)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (54), (56), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (86), (89), (93), (105), (113), (118),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (151), (166), (176), (177), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (192), (196), (197), (210), (215),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (229), (232), (974), (1148) are
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #693.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1149)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1150)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1150) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1151)  all_24_8 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1147), (1151) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #692.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1152)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1152) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1153)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1154)  all_24_11 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (85), (86), (89), (93), (105),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (129), (155), (176), (183), (187), (190),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (218), (220), (227), (232),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (974), (1073), (1147), (1154) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #688.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1155)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1156)  all_24_18 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1157)  op2(e22, e20) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (46), (49), (51), (53), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (220), (223),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1096), (1156), (1157) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #683.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1158)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1159)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (969), (1159) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1160)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1161)  all_24_22 = e24
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1162)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (92), (93), (105), (113),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (170), (176), (180), (183),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (215), (227),
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (232), (1162) are inconsistent by sub-proof
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #775.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1163)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1164)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1164) implies:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1165)  all_24_22 = e22
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1161), (1165) are inconsistent by
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #840.
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1166)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1166) are inconsistent by sub-proof #729.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1167)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1167) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1168)  all_24_13 = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1103), (1168) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1169)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1170)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (969), (1170) are inconsistent by sub-proof #707.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1171)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (183), (187),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1087), (1096),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (1171) are inconsistent by sub-proof #681.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | |   (1172)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1173)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1073), (1173) are inconsistent by sub-proof
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |            #867.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1174)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1175)  all_24_21 = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (1175) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1176)  e23 = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1176) are
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | |   (1177)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (53), (70), (80), (89), (109), (129),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (1177) are
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1178)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.69  | | | | | | | | | | | | | | |            (170), (196), (199), (1178) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | |   (1179)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 244.63/48.69  | | | | | | | | | | | |           (all_24_20 = e23 & op2(e20, e24) = e23)
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | BETA: splitting (1179) gives:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | |   (1180)  all_24_12 = e23 & op2(e21, e24) = e23
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | REF_CLOSE: (80), (189), (965), (1180) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | |            sub-proof #715.
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | |   (1181)  all_24_20 = e23 & op2(e20, e24) = e23
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | REF_CLOSE: (44), (64), (80), (1181) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | |            sub-proof #716.
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | |   (1182)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.69  | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | BETA: splitting (1182) gives:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1183)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | REF_CLOSE: (80), (175), (241), (1183) are inconsistent by
% 244.63/48.69  | | | | | | | | | | |            sub-proof #680.
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1184)  all_24_19 = e23 & op2(e21, e20) = e23
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | REF_CLOSE: (80), (193), (212), (1184) are inconsistent by
% 244.63/48.69  | | | | | | | | | | |            sub-proof #679.
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | End of split
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | Case 2:
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | |   (1185)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | | REF_CLOSE: (73), (80), (93), (1185) are inconsistent by sub-proof
% 244.63/48.69  | | | | | | |            #911.
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | End of split
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | Case 2:
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | |   (1186)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.63/48.69  | | | | | |             op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20)
% 244.63/48.69  | | | | | |             = e20)
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | REF_CLOSE: (3), (11), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.69  | | | | | |            (68), (80), (85), (89), (105), (113), (127), (129),
% 244.63/48.69  | | | | | |            (155), (183), (187), (190), (196), (197), (215), (232),
% 244.63/48.69  | | | | | |            (250), (1186) are inconsistent by sub-proof #884.
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | End of split
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | Case 2:
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | |   (1187)  all_24_16 = e23 & op2(e24, e20) = e23
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | | REF_CLOSE: (50), (80), (147), (1187) are inconsistent by sub-proof
% 244.63/48.69  | | | | |            #678.
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | End of split
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | End of split
% 244.63/48.69  | | | 
% 244.63/48.69  | | End of split
% 244.63/48.69  | | 
% 244.63/48.69  | Case 2:
% 244.63/48.69  | | 
% 244.63/48.69  | |   (1188)   ~ (all_20_3 = e23)
% 244.63/48.69  | | 
% 244.63/48.69  | | REDUCE: (32), (1188) imply:
% 244.63/48.69  | |   (1189)   ~ (all_16_15 = e23)
% 244.63/48.69  | | 
% 244.63/48.69  | | BETA: splitting (217) gives:
% 244.63/48.69  | | 
% 244.63/48.69  | | Case 1:
% 244.63/48.69  | | | 
% 244.63/48.69  | | |   (1190)  all_20_2 = e23
% 244.63/48.69  | | | 
% 244.63/48.69  | | | COMBINE_EQS: (122), (1190) imply:
% 244.63/48.69  | | |   (1191)  all_16_10 = e23
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (207), (1191) imply:
% 244.63/48.69  | | |   (1192)   ~ (all_16_13 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | SIMP: (1192) implies:
% 244.63/48.69  | | |   (1193)   ~ (all_16_13 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (131), (1191) imply:
% 244.63/48.69  | | |   (1194)   ~ (all_16_14 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (114), (1191) imply:
% 244.63/48.69  | | |   (1195)   ~ (all_16_15 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (22), (1191) imply:
% 244.63/48.69  | | |   (1196)   ~ (all_16_20 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (194), (1191) imply:
% 244.63/48.69  | | |   (1197)   ~ (all_12_2 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | SIMP: (1197) implies:
% 244.63/48.69  | | |   (1198)   ~ (all_12_2 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (4), (1191) imply:
% 244.63/48.69  | | |   (1199)   ~ (all_4_2 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | SIMP: (1199) implies:
% 244.63/48.69  | | |   (1200)   ~ (all_4_2 = e23)
% 244.63/48.69  | | | 
% 244.63/48.69  | | | REDUCE: (3), (1191) imply:
% 244.63/48.69  | | |   (1201)  op2(e24, e22) = e23
% 244.63/48.69  | | | 
% 244.63/48.69  | | | BETA: splitting (162) gives:
% 244.63/48.69  | | | 
% 244.63/48.69  | | | Case 1:
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | |   (1202)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 &
% 244.63/48.69  | | | |             op2(e24, e23) = e23)
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | | REF_CLOSE: (3), (11), (30), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.69  | | | |            (73), (80), (88), (89), (93), (105), (113), (117), (129),
% 244.63/48.69  | | | |            (151), (152), (183), (185), (187), (190), (196), (197),
% 244.63/48.69  | | | |            (215), (232), (1201), (1202) are inconsistent by sub-proof
% 244.63/48.69  | | | |            #670.
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | Case 2:
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | |   (1203)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 = e23 &
% 244.63/48.69  | | | |             op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) =
% 244.63/48.69  | | | |             e23)
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | | BETA: splitting (1203) gives:
% 244.63/48.69  | | | | 
% 244.63/48.69  | | | | Case 1:
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | |   (1204)  all_24_4 = e23 & op2(e24, e22) = e23
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | | ALPHA: (1204) implies:
% 244.63/48.69  | | | | |   (1205)  all_24_4 = e23
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | | BETA: splitting (15) gives:
% 244.63/48.69  | | | | | 
% 244.63/48.69  | | | | | Case 1:
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | |   (1206)  all_20_12 = e23
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | COMBINE_EQS: (19), (1206) imply:
% 244.63/48.69  | | | | | |   (1207)  all_4_2 = e23
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | SIMP: (1207) implies:
% 244.63/48.69  | | | | | |   (1208)  all_4_2 = e23
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | REDUCE: (1200), (1208) imply:
% 244.63/48.69  | | | | | |   (1209)  $false
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | CLOSE: (1209) is inconsistent.
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | Case 2:
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | |   (1210)   ~ (all_20_12 = e23)
% 244.63/48.69  | | | | | |   (1211)  all_20_12 = e24 | all_20_12 = e22 | all_20_12 = e21 |
% 244.63/48.69  | | | | | |           all_20_12 = e20
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | BETA: splitting (16) gives:
% 244.63/48.69  | | | | | | 
% 244.63/48.69  | | | | | | Case 1:
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | |   (1212)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 =
% 244.63/48.69  | | | | | | |             e22 & op2(e23, e20) = e22)
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118), (129),
% 244.63/48.69  | | | | | | |            (133), (135), (147), (177), (192), (196), (197), (210),
% 244.63/48.69  | | | | | | |            (232), (1212) are inconsistent by sub-proof #805.
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | Case 2:
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | |   (1213)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.63/48.69  | | | | | | |             e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 244.63/48.69  | | | | | | |             op2(e20, e20) = e22)
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | | BETA: splitting (1213) gives:
% 244.63/48.69  | | | | | | | 
% 244.63/48.69  | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | |   (1214)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | | ALPHA: (1214) implies:
% 244.63/48.69  | | | | | | | |   (1215)  all_24_18 = e22
% 244.63/48.69  | | | | | | | |   (1216)  op2(e22, e20) = e22
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (13), (16),
% 244.63/48.69  | | | | | | | |            (18), (19), (24), (25), (26), (27), (30), (31), (33),
% 244.63/48.69  | | | | | | | |            (36), (37), (39), (40), (43), (44), (45), (46), (47),
% 244.63/48.69  | | | | | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 244.63/48.69  | | | | | | | |            (57), (59), (62), (66), (69), (70), (75), (76), (77),
% 244.63/48.69  | | | | | | | |            (79), (80), (82), (83), (85), (86), (87), (88), (89),
% 244.63/48.69  | | | | | | | |            (92), (93), (96), (101), (102), (103), (104), (105),
% 244.63/48.69  | | | | | | | |            (106), (107), (108), (109), (112), (113), (115),
% 244.63/48.69  | | | | | | | |            (116), (117), (118), (119), (123), (126), (127),
% 244.63/48.69  | | | | | | | |            (129), (130), (132), (133), (134), (136), (137),
% 244.63/48.69  | | | | | | | |            (139), (141), (142), (143), (144), (145), (147),
% 244.63/48.69  | | | | | | | |            (148), (149), (151), (152), (153), (155), (156),
% 244.63/48.69  | | | | | | | |            (157), (158), (159), (160), (161), (163), (166),
% 244.63/48.69  | | | | | | | |            (168), (169), (170), (171), (172), (173), (174),
% 244.63/48.69  | | | | | | | |            (175), (176), (177), (178), (179), (180), (183),
% 244.63/48.69  | | | | | | | |            (184), (185), (186), (187), (189), (190), (192),
% 244.63/48.69  | | | | | | | |            (193), (196), (197), (199), (200), (201), (202),
% 244.63/48.69  | | | | | | | |            (203), (205), (209), (210), (212), (215), (218),
% 244.63/48.69  | | | | | | | |            (220), (221), (222), (223), (227), (229), (232),
% 244.63/48.69  | | | | | | | |            (1189), (1193), (1198), (1200), (1201), (1205),
% 244.63/48.69  | | | | | | | |            (1211), (1215), (1216) are inconsistent by sub-proof
% 244.63/48.69  | | | | | | | |            #544.
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | |   (1217)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 =
% 244.63/48.69  | | | | | | | |             e22 & op2(e20, e20) = e22)
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | | BETA: splitting (1217) gives:
% 244.63/48.69  | | | | | | | | 
% 244.63/48.69  | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | |   (1218)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | ALPHA: (1218) implies:
% 244.63/48.69  | | | | | | | | |   (1219)  all_24_19 = e22
% 244.63/48.69  | | | | | | | | |   (1220)  op2(e21, e20) = e22
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | GROUND_INST: instantiating (80) with all_16_23, e22, e20, e21,
% 244.63/48.69  | | | | | | | | |              simplifying with (212), (1220) gives:
% 244.63/48.69  | | | | | | | | |   (1221)  all_16_23 = e22
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | REDUCE: (90), (1221) imply:
% 244.63/48.69  | | | | | | | | |   (1222)   ~ (all_6_2 = e22)
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | SIMP: (1222) implies:
% 244.63/48.69  | | | | | | | | |   (1223)   ~ (all_6_2 = e22)
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | REDUCE: (193), (1221) imply:
% 244.63/48.69  | | | | | | | | |   (1224)   ~ (e23 = e22)
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | BETA: splitting (165) gives:
% 244.63/48.69  | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | |   (1225)  all_20_18 = e23
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | COMBINE_EQS: (97), (1225) imply:
% 244.63/48.69  | | | | | | | | | |   (1226)  all_6_2 = e23
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | SIMP: (1226) implies:
% 244.63/48.69  | | | | | | | | | |   (1227)  all_6_2 = e23
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | REDUCE: (9), (1227) imply:
% 244.63/48.69  | | | | | | | | | |   (1228)   ~ (all_16_17 = e23)
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | REDUCE: (79), (1227) imply:
% 244.63/48.69  | | | | | | | | | |   (1229)   ~ (e24 = e23)
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | BETA: splitting (174) gives:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1230)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7
% 244.63/48.69  | | | | | | | | | | |             = e23 & op2(e22, e23) = e23)
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | BETA: splitting (1230) gives:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | |   (1231)  all_24_6 = e23 & op2(e22, e24) = e23
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | ALPHA: (1231) implies:
% 244.63/48.69  | | | | | | | | | | | |   (1232)  all_24_6 = e23
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | BETA: splitting (152) gives:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | |   (1233)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.63/48.69  | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | BETA: splitting (1233) gives:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | |   (1234)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | ALPHA: (1234) implies:
% 244.63/48.69  | | | | | | | | | | | | | |   (1235)  all_24_0 = e24
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1236)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.63/48.69  | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (68), (73), (80),
% 244.63/48.69  | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (183), (187),
% 244.63/48.69  | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1235), (1236) are
% 244.63/48.69  | | | | | | | | | | | | | | |            inconsistent by sub-proof #667.
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1237)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.63/48.69  | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.69  | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | BETA: splitting (1237) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | |   (1238)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.69  | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.63/48.69  | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1232), (1238) are
% 244.63/48.69  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #558.
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | |   (1239)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.69  | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1240)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1241)  all_24_12 = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | |   (1242)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.63/48.69  | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (68), (73), (80), (89),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (105), (113), (129), (176), (187), (196), (197),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (215), (220), (232), (1235), (1242) are
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #665.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | |   (1243)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1244)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |            (1232), (1244) are inconsistent by sub-proof #704.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1245)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |   (1246)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | ALPHA: (1246) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |   (1247)  all_24_12 = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1241), (1247) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            sub-proof #703.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |   (1248)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |   (1249)  all_24_20 = e21
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (11), (33), (36), (43), (49), (51),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (76), (80), (85), (88), (89), (92), (93), (101),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (105), (107), (113), (117), (127), (129), (139),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (155), (169), (170), (171), (172), (183), (187),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (203), (215), (232),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            (1205), (1235), (1249) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |            sub-proof #663.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1250)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | ALPHA: (1250) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1251)  op2(e20, e24) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (80), (109), (1251) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | |            sub-proof #962.
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | |   (1252)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | REF_CLOSE: (151), (187), (1252) are inconsistent by sub-proof
% 244.63/48.69  | | | | | | | | | | | | | |            #870.
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | |   (1253)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.63/48.69  | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.63/48.69  | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | BETA: splitting (1253) gives:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | |   (1254)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | ALPHA: (1254) implies:
% 244.63/48.69  | | | | | | | | | | | | | |   (1255)  op2(e24, e22) = e24
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | REF_CLOSE: (80), (196), (1201), (1255) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | |            sub-proof #660.
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | |   (1256)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.63/48.69  | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | BETA: splitting (1256) gives:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1257)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | REF_CLOSE: (30), (80), (185), (1257) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | |            sub-proof #862.
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1258)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | ALPHA: (1258) implies:
% 244.63/48.69  | | | | | | | | | | | | | | |   (1259)  all_24_16 = e24
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | REF_CLOSE: (10), (28), (36), (49), (51), (53), (57), (66),
% 244.63/48.69  | | | | | | | | | | | | | | |            (68), (73), (80), (85), (89), (105), (113), (129),
% 244.63/48.69  | | | | | | | | | | | | | | |            (155), (176), (183), (187), (196), (197), (215),
% 244.63/48.69  | | | | | | | | | | | | | | |            (220), (223), (232), (1219), (1259) are
% 244.63/48.69  | | | | | | | | | | | | | | |            inconsistent by sub-proof #543.
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | |   (1260)  all_24_7 = e23 & op2(e22, e23) = e23
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | REF_CLOSE: (80), (92), (170), (1260) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | |            sub-proof #954.
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1261)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 244.63/48.69  | | | | | | | | | | |           (all_24_11 = e23 & op2(e22, e21) = e23) |
% 244.63/48.69  | | | | | | | | | | |           (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | REF_CLOSE: (59), (80), (163), (168), (202), (1200), (1228),
% 244.63/48.69  | | | | | | | | | | |            (1261) are inconsistent by sub-proof #545.
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | |   (1262)   ~ (all_20_18 = e23)
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | REDUCE: (97), (1262) imply:
% 244.63/48.69  | | | | | | | | | |   (1263)   ~ (all_6_2 = e23)
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | BETA: splitting (158) gives:
% 244.63/48.69  | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1264)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 244.63/48.69  | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | REF_CLOSE: (53), (80), (185), (196), (197), (1189), (1264)
% 244.63/48.69  | | | | | | | | | | |            are inconsistent by sub-proof #564.
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | |   (1265)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 244.63/48.69  | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.69  | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | BETA: splitting (1265) gives:
% 244.63/48.69  | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | |   (1266)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | ALPHA: (1266) implies:
% 244.63/48.69  | | | | | | | | | | | |   (1267)  all_24_11 = e23
% 244.63/48.69  | | | | | | | | | | | |   (1268)  op2(e22, e21) = e23
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.63/48.69  | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | |   (1269)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 244.63/48.69  | | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | BETA: splitting (1269) gives:
% 244.63/48.69  | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | |   (1270)  all_24_12 = e23 & op2(e21, e24) = e23
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | ALPHA: (1270) implies:
% 244.63/48.69  | | | | | | | | | | | | | |   (1271)  all_24_12 = e23
% 244.63/48.69  | | | | | | | | | | | | | |   (1272)  op2(e21, e24) = e23
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 244.63/48.69  | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1273)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (11), (25), (30), (31), (44), (49),
% 244.63/48.69  | | | | | | | | | | | | | | |            (51), (52), (53), (56), (57), (66), (68), (73),
% 244.63/48.69  | | | | | | | | | | | | | | |            (76), (80), (85), (88), (89), (92), (93), (104),
% 244.63/48.69  | | | | | | | | | | | | | | |            (105), (108), (113), (117), (129), (134), (151),
% 244.63/48.69  | | | | | | | | | | | | | | |            (152), (166), (169), (170), (171), (176), (180),
% 244.63/48.69  | | | | | | | | | | | | | | |            (183), (185), (187), (190), (196), (197), (199),
% 244.63/48.69  | | | | | | | | | | | | | | |            (203), (215), (220), (227), (229), (232), (1201),
% 244.63/48.69  | | | | | | | | | | | | | | |            (1205), (1267), (1271), (1273) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | |            sub-proof #568.
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | |   (1274)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | |   (1275)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.69  | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.69  | | | | | | | | | | | | | | | |            (210), (232), (1267), (1275) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | |            sub-proof #567.
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | |   (1276)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1277)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (10), (11), (13), (16),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (19), (25), (26), (27), (30), (31), (40), (44),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (49), (50), (51), (52),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (53), (55), (56), (57), (62), (66), (68), (69),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (73), (76), (77), (79), (80), (85), (86), (88),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (89), (92), (93), (96), (104), (105), (107),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (108), (112), (113), (117), (123), (129), (130),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (134), (135), (136), (142), (147), (149), (151),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (152), (157), (159), (160), (166), (168), (169),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (170), (171), (173), (175), (176), (180), (183),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (184), (185), (187), (190), (196), (197), (199),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (200), (202), (203), (205), (215), (218), (220),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (221), (222), (223), (227), (229), (232), (1189),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (1198), (1200), (1201), (1205), (1211), (1263),
% 244.63/48.69  | | | | | | | | | | | | | | | | |            (1267), (1268), (1271), (1272), (1277) are
% 244.63/48.69  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #584.
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1278)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | ALPHA: (1278) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | |   (1279)  op2(e20, e21) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | |   (1280)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.63/48.69  | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (73), (77), (80), (86), (89), (93), (104), (105),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (113), (129), (151), (166), (176), (183), (187),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (220), (227), (229),
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            (232), (1271), (1280) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | | |            sub-proof #811.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | |   (1281)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | BETA: splitting (1281) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1282)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1283)  all_24_8 = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1284)  op2(e22, e22) = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_19, e22, e21, e20,
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |              simplifying with (203), (1279) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1285)  all_16_19 = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_3, e23, e24, e21,
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |              simplifying with (189), (1272) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1286)  all_16_3 = e23
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_17, e23, e21, e22,
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |              simplifying with (163), (1268) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1287)  all_16_17 = e23
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_2, e22, e22, e22,
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |              simplifying with (202), (1284) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1288)  all_4_2 = e22
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REDUCE: (230), (1286) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1289)   ~ (all_16_8 = e23)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1287) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1290)   ~ (all_16_22 = e23)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1287) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1291)   ~ (all_6_2 = e23)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1287) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1292)   ~ (e24 = e23)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | REDUCE: (171), (1285) imply:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | |   (1293)   ~ (e24 = e22)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |   (1294)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | |   (1295)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1295) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | |   (1296)  all_24_6 = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |   (1297)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (232), (1296), (1297) are inconsistent by
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #542.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |   (1298)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (57), (66), (68),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (105), (113), (129),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (155), (176), (187), (190), (196), (197), (215),
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            (220), (232), (1267), (1283), (1298) are
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #541.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | |   (1299)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1299) implies:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | |   (1300)  all_24_7 = e20
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |   (1301)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | |   (1302)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (151), (187), (1302) are inconsistent by sub-proof
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | |   (1303)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.63/48.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (229), (1303) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |   (1304)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1304) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |   (1305)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1305) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |   (1306)  all_24_7 = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1300), (1306) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |            #869.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |   (1307)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1307) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | |   (1308)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1308) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | |   (1309)  all_24_13 = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1310)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1310) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1311)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1271), (1311) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #868.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1312)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1309), (1312) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            #867.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1313)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1313) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1314)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1315)  all_24_14 = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (55), (57), (66), (68),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (73), (80), (89), (105), (107), (109),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (129), (139), (155), (172), (176), (183),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (187), (190), (196), (197), (203), (215),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (232), (1205), (1283), (1315) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #540.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1316)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1317)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1318)  all_24_15 = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1319)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1320)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1271), (1320) are inconsistent by sub-proof #747.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1321)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1322)  all_24_13 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1300), (1322) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1323)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1323) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1324)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1325)  all_24_14 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1326)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (80), (196), (220), (1201), (1326) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #623.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1327)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1327) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1328)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1329)  all_24_8 = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1283), (1329) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #692.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1330)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1330) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1331)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1331) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  all_24_14 = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (220), (232),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1219), (1271), (1309), (1318), (1332) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #539.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1333)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1333) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  op2(e20, e22) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (33), (36), (43), (51), (53), (55), (57),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (70), (76), (80), (89), (92), (93),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (105), (107), (113), (129), (139), (155),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (187), (190), (196), (197),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (203), (215), (232), (1334), (1335) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #559.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1336) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (55), (70), (80), (107), (109), (113),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (155), (172), (203), (1337) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)  all_24_23 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (10), (11), (13), (16),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19), (25), (26), (27), (30), (31), (40), (44),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (49), (50), (51), (52),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (54), (55), (56), (57), (62), (66), (68),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (73), (76), (77), (79), (80), (85), (86),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (92), (93), (96), (104), (105), (107),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (112), (113), (117), (118), (123), (129),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (133), (134), (135), (136), (141), (142),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (147), (149), (151), (152), (157), (159), (160),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (166), (168), (169), (170), (171), (173), (175),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (177), (180), (183), (184), (185), (187),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (196), (197), (199), (200), (202),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (205), (210), (215), (218), (220), (221),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (227), (229), (232), (1189), (1198),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1200), (1201), (1205), (1211), (1263), (1267),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1268), (1271), (1272), (1340) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #566.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1341) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  all_24_24 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (1342) imply:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  e21 = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1325), (1343) imply:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  all_24_14 = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (55), (57), (66), (68),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (73), (80), (89), (105), (107), (109),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (129), (139), (155), (172), (176), (183),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (187), (190), (196), (197), (203), (215),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (232), (1205), (1283), (1344) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #540.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1346) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  all_24_15 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1318), (1347) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1348) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)  all_24_19 = e21
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1219), (1349) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #685.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (53), (70), (80), (89), (109), (129),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (1350) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | |   (1351)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (1351) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1352)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1352) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |   (1353)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (1283), (1353)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #538.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |   (1354)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |   (1355)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1267), (1355) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #537.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |   (1356)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1356) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |   (1357)  op2(e22, e20) = e20
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (53), (68), (80), (85), (89), (129),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (1220), (1357) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #536.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |   (1358)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1359)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (210), (232), (1267), (1359) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1360)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | ALPHA: (1360) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1361)  all_24_18 = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1362)  op2(e22, e20) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (13),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (16), (18), (19), (24), (25), (26), (27), (30),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (31), (33), (36), (37), (39), (40), (43), (44),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (49), (50), (51), (52),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (53), (54), (55), (56), (57), (59), (62), (66),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (69), (70), (75), (76), (77), (79), (80), (82),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (83), (85), (86), (87), (88), (89), (92), (93),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (96), (101), (102), (103), (104), (105), (106),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (107), (108), (109), (112), (113), (115), (116),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (117), (118), (119), (123), (126), (127), (129),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (130), (132), (133), (134), (136), (137), (139),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (141), (142), (143), (144), (145), (147), (148),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (149), (151), (152), (153), (155), (156), (157),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (161), (163), (166), (168),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (173), (174), (175),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (176), (177), (178), (179), (180), (183), (184),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (185), (186), (187), (189), (190), (192), (193),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (200), (201), (202), (203),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (205), (209), (210), (212), (215), (218), (220),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (227), (229), (232), (1189),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (1193), (1198), (1200), (1201), (1205), (1211),
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |            (1361), (1362) are inconsistent by sub-proof #544.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | |   (1363)  all_24_13 = e23 & op2(e21, e23) = e23
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | ALPHA: (1363) implies:
% 244.63/48.70  | | | | | | | | | | | | | |   (1364)  all_24_13 = e23
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.70  | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.70  | | | | | | | | | | | | | |            (151), (166), (183), (187), (190), (196), (197),
% 244.63/48.70  | | | | | | | | | | | | | |            (215), (227), (229), (232), (1364) are
% 244.63/48.70  | | | | | | | | | | | | | |            inconsistent by sub-proof #842.
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | |   (1365)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.63/48.70  | | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | REF_CLOSE: (37), (80), (175), (193), (212), (1193), (1263),
% 244.63/48.70  | | | | | | | | | | | | |            (1365) are inconsistent by sub-proof #565.
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | |   (1366)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | BETA: splitting (1366) gives:
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | |   (1367)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | REF_CLOSE: (80), (175), (1263), (1367) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | |            sub-proof #680.
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | |   (1368)  all_24_23 = e23 & op2(e20, e21) = e23
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | REF_CLOSE: (10), (44), (49), (51), (52), (53), (56), (57),
% 244.63/48.70  | | | | | | | | | | | | |            (66), (68), (73), (76), (80), (85), (89), (92),
% 244.63/48.70  | | | | | | | | | | | | |            (93), (96), (105), (113), (129), (134), (151),
% 244.63/48.70  | | | | | | | | | | | | |            (166), (169), (170), (171), (176), (180), (183),
% 244.63/48.70  | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (203), (215),
% 244.63/48.70  | | | | | | | | | | | | |            (220), (227), (229), (232), (1368) are
% 244.63/48.70  | | | | | | | | | | | | |            inconsistent by sub-proof #546.
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | |   (1369)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.70  | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.70  | | | | | | | | |            (183), (187), (196), (197), (215), (232), (1369)
% 244.63/48.70  | | | | | | | | |            are inconsistent by sub-proof #619.
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | End of split
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | End of split
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | End of split
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | Case 2:
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | |   (1370)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_16 = e23 &
% 244.63/48.70  | | | | |             op2(e24, e20) = e23)
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | | REF_CLOSE: (50), (80), (147), (185), (1189), (1370) are inconsistent
% 244.63/48.70  | | | | |            by sub-proof #535.
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | End of split
% 244.63/48.70  | | | | 
% 244.63/48.70  | | | End of split
% 244.63/48.70  | | | 
% 244.63/48.70  | | Case 2:
% 244.63/48.70  | | | 
% 244.63/48.70  | | |   (1371)   ~ (all_20_2 = e23)
% 244.63/48.70  | | | 
% 244.63/48.70  | | | REDUCE: (122), (1371) imply:
% 244.63/48.70  | | |   (1372)   ~ (all_16_10 = e23)
% 244.63/48.70  | | | 
% 244.63/48.70  | | | BETA: splitting (162) gives:
% 244.63/48.70  | | | 
% 244.63/48.70  | | | Case 1:
% 244.63/48.70  | | | | 
% 244.63/48.70  | | | |   (1373)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 &
% 244.63/48.70  | | | |             op2(e24, e23) = e23)
% 244.63/48.70  | | | | 
% 244.63/48.70  | | | | BETA: splitting (1373) gives:
% 244.63/48.70  | | | | 
% 244.63/48.70  | | | | Case 1:
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | |   (1374)  all_24_0 = e23 & op2(e24, e24) = e23
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | | ALPHA: (1374) implies:
% 244.63/48.70  | | | | |   (1375)  all_24_0 = e23
% 244.63/48.70  | | | | |   (1376)  op2(e24, e24) = e23
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | | BETA: splitting (117) gives:
% 244.63/48.70  | | | | | 
% 244.63/48.70  | | | | | Case 1:
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | |   (1377)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 244.63/48.70  | | | | | |             op2(e24, e23) = e20)
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | | BETA: splitting (1377) gives:
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | | Case 1:
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | |   (1378)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80), (89),
% 244.63/48.70  | | | | | | |            (105), (113), (129), (183), (187), (190), (196), (197),
% 244.63/48.70  | | | | | | |            (215), (232), (1375), (1378) are inconsistent by
% 244.63/48.70  | | | | | | |            sub-proof #676.
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | Case 2:
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | |   (1379)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | | REF_CLOSE: (73), (80), (93), (1379) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | |            #911.
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | End of split
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | Case 2:
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | |   (1380)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.63/48.70  | | | | | |             op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20)
% 244.63/48.70  | | | | | |             = e20)
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | | BETA: splitting (1380) gives:
% 244.63/48.70  | | | | | | 
% 244.63/48.70  | | | | | | Case 1:
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | |   (1381)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | | REF_CLOSE: (3), (11), (80), (1381) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | |            #909.
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | Case 2:
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | |   (1382)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 =
% 244.63/48.70  | | | | | | |             e20 & op2(e24, e20) = e20)
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | | BETA: splitting (1382) gives:
% 244.63/48.70  | | | | | | | 
% 244.63/48.70  | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | |   (1383)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | ALPHA: (1383) implies:
% 244.63/48.70  | | | | | | | |   (1384)  all_24_9 = e20
% 244.63/48.70  | | | | | | | |   (1385)  op2(e24, e21) = e20
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | GROUND_INST: instantiating (80) with all_16_15, e20, e21, e24,
% 244.63/48.70  | | | | | | | |              simplifying with (185), (1385) gives:
% 244.63/48.70  | | | | | | | |   (1386)  all_16_15 = e20
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | GROUND_INST: instantiating (80) with all_12_2, e23, e24, e24,
% 244.63/48.70  | | | | | | | |              simplifying with (5), (1376) gives:
% 244.63/48.70  | | | | | | | |   (1387)  all_12_2 = e23
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (95), (1387) imply:
% 244.63/48.70  | | | | | | | |   (1388)   ~ (all_16_2 = e23)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (65), (1387) imply:
% 244.63/48.70  | | | | | | | |   (1389)   ~ (all_16_3 = e23)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (179), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1390)   ~ (all_16_17 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | SIMP: (1390) implies:
% 244.63/48.70  | | | | | | | |   (1391)   ~ (all_16_17 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (78), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1392)   ~ (all_16_19 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (219), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1393)   ~ (all_6_2 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | SIMP: (1393) implies:
% 244.63/48.70  | | | | | | | |   (1394)   ~ (all_6_2 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (30), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1395)   ~ (e24 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (1189), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1396)   ~ (e23 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (142), (1386) imply:
% 244.63/48.70  | | | | | | | |   (1397)   ~ (e22 = e20)
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (91), (1387) imply:
% 244.63/48.70  | | | | | | | |   (1398)  op2(e24, e23) = all_12_1
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | GROUND_INST: instantiating (80) with e22, all_12_1, e23, e24,
% 244.63/48.70  | | | | | | | |              simplifying with (93), (1398) gives:
% 244.63/48.70  | | | | | | | |   (1399)  all_12_1 = e22
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | REDUCE: (21), (1399) imply:
% 244.63/48.70  | | | | | | | |   (1400)  op2(e22, e24) = all_12_0
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | GROUND_INST: instantiating (80) with all_16_2, all_12_0, e24,
% 244.63/48.70  | | | | | | | |              e22, simplifying with (62), (1400) gives:
% 244.63/48.70  | | | | | | | |   (1401)  all_16_2 = all_12_0
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | BETA: splitting (165) gives:
% 244.63/48.70  | | | | | | | | 
% 244.63/48.70  | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | |   (1402)  all_20_18 = e23
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | COMBINE_EQS: (97), (1402) imply:
% 244.63/48.70  | | | | | | | | |   (1403)  all_6_2 = e23
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | SIMP: (1403) implies:
% 244.63/48.70  | | | | | | | | |   (1404)  all_6_2 = e23
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | REDUCE: (58), (1404) imply:
% 244.63/48.70  | | | | | | | | |   (1405)   ~ (all_16_13 = e23)
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | REDUCE: (9), (1404) imply:
% 244.63/48.70  | | | | | | | | |   (1406)   ~ (all_16_17 = e23)
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | REDUCE: (79), (1404) imply:
% 244.63/48.70  | | | | | | | | |   (1407)   ~ (e24 = e23)
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | BETA: splitting (120) gives:
% 244.63/48.70  | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | |   (1408)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5
% 244.63/48.70  | | | | | | | | | |             = e23 & op2(e23, e22) = e23)
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | BETA: splitting (1408) gives:
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | |   (1409)  all_24_4 = e23 & op2(e24, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | ALPHA: (1409) implies:
% 244.63/48.70  | | | | | | | | | | |   (1410)  op2(e24, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | REF_CLOSE: (3), (11), (30), (49), (51), (53), (56), (57),
% 244.63/48.70  | | | | | | | | | | |            (66), (68), (73), (80), (88), (89), (93), (105),
% 244.63/48.70  | | | | | | | | | | |            (113), (117), (129), (151), (152), (183), (185),
% 244.63/48.70  | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (1375),
% 244.63/48.70  | | | | | | | | | | |            (1410) are inconsistent by sub-proof #671.
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | |   (1411)  all_24_5 = e23 & op2(e23, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | ALPHA: (1411) implies:
% 244.63/48.70  | | | | | | | | | | |   (1412)  op2(e23, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | REF_CLOSE: (80), (89), (129), (1412) are inconsistent by
% 244.63/48.70  | | | | | | | | | | |            sub-proof #1326.
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | End of split
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | |   (1413)  (all_24_8 = e23 & op2(e22, e22) = e23) |
% 244.63/48.70  | | | | | | | | | |           (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.63/48.70  | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | BETA: splitting (1413) gives:
% 244.63/48.70  | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | |   (1414)  all_24_8 = e23 & op2(e22, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | ALPHA: (1414) implies:
% 244.63/48.70  | | | | | | | | | | |   (1415)  all_24_8 = e23
% 244.63/48.70  | | | | | | | | | | |   (1416)  op2(e22, e22) = e23
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | BETA: splitting (158) gives:
% 244.63/48.70  | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | |   (1417)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | REF_CLOSE: (53), (80), (185), (196), (197), (1189), (1417)
% 244.63/48.70  | | | | | | | | | | | |            are inconsistent by sub-proof #564.
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | |   (1418)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | BETA: splitting (1418) gives:
% 244.63/48.70  | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | |   (1419)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | REF_CLOSE: (80), (163), (1406), (1419) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | |            sub-proof #809.
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | |   (1420)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.70  | | | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | BETA: splitting (1420) gives:
% 244.63/48.70  | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | |   (1421)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | ALPHA: (1421) implies:
% 244.63/48.70  | | | | | | | | | | | | | |   (1422)  all_24_15 = e23
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_2, e23, e22, e22,
% 244.63/48.70  | | | | | | | | | | | | | |              simplifying with (202), (1416) gives:
% 244.63/48.70  | | | | | | | | | | | | | |   (1423)  all_4_2 = e23
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.63/48.70  | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | |   (1424)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.70  | | | | | | | | | | | | | | |            (129), (133), (135), (147), (177), (192), (196),
% 244.63/48.70  | | | | | | | | | | | | | | |            (197), (210), (232), (1424) are inconsistent by
% 244.63/48.70  | | | | | | | | | | | | | | |            sub-proof #805.
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | |   (1425)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | |   (1426)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | ALPHA: (1426) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | |   (1427)  all_24_18 = e22
% 244.63/48.70  | | | | | | | | | | | | | | | |   (1428)  op2(e22, e20) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_22, e22, e20, e22,
% 244.63/48.70  | | | | | | | | | | | | | | | |              simplifying with (59), (1428) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | |   (1429)  all_16_22 = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | REDUCE: (168), (1429) imply:
% 244.63/48.70  | | | | | | | | | | | | | | | |   (1430)   ~ (e23 = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | |   (1431)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.70  | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (92), (93), (105), (113),
% 244.63/48.70  | | | | | | | | | | | | | | | | |            (129), (151), (166), (170), (176), (180), (183),
% 244.63/48.70  | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (215), (227),
% 244.63/48.70  | | | | | | | | | | | | | | | | |            (229), (232), (1431) are inconsistent by sub-proof
% 244.63/48.70  | | | | | | | | | | | | | | | | |            #775.
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | |   (1432)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | |   (1433)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | ALPHA: (1433) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | |   (1434)  all_24_22 = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |   (1435)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (76), (80), (189), (205), (1435) are
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |   (1436)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.70  | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | BETA: splitting (1436) gives:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1437)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | ALPHA: (1437) implies:
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | |   (1438)  all_24_14 = e22
% 244.63/48.70  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (160), (176), (183),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (184), (187), (190), (196), (197), (215), (220),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (232), (1415), (1434), (1438) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1439)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1440)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1440) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1441)  all_24_15 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1422), (1441) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1442)  e23 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1443)  e23 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1415), (1443) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1444)  all_24_8 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (210), (232), (1388), (1406), (1444) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #807.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1445)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1445) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1446)  all_24_19 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (46), (49), (51), (53), (57), (66), (68),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (220), (223),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (232), (1427), (1428), (1446) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            sub-proof #683.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | |   (1447)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1448)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (1448) are inconsistent by sub-proof #730.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1449)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (1449)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #722.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | |   (1450)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | |   (1451)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | ALPHA: (1451) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | |   (1452)  all_24_19 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | |   (1453)  op2(e21, e20) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_23, e22, e20, e21,
% 244.63/48.71  | | | | | | | | | | | | | | | | |              simplifying with (212), (1453) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | |   (1454)  all_16_23 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | REDUCE: (193), (1454) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | |   (1455)   ~ (e23 = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | |   (1456)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.63/48.71  | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | BETA: splitting (1456) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1457)  all_24_6 = e22 & op2(e22, e24) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | ALPHA: (1457) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1458)  all_24_6 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1459)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (1375),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |            (1459) are inconsistent by sub-proof #534.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1460)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1460) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1461)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (1458), (1461)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #822.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1462)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1462) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1463)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1463) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1464)  all_24_12 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1465)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (190),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1465)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #533.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1466)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1467)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1458), (1467) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #828.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1468) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1469) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)  all_24_12 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1464), (1470) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)  e21 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (1471) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)  $false
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1472) is inconsistent.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  all_24_20 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  op2(e20, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (57), (68), (70), (76), (80), (92),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (101), (105), (107), (113), (139), (155),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (196), (197), (199),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (1474), (1475) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #766.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1476)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1476) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1477)  op2(e20, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (80), (109), (1477) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1478)  all_24_7 = e22 & op2(e22, e23) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | ALPHA: (1478) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1479)  all_24_7 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (151), (166), (176), (183), (187), (190), (196),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (197), (215), (227), (229), (232), (1479) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #812.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | |   (1480)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1481)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | ALPHA: (1481) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1482)  all_24_8 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            (210), (232), (1388), (1406), (1482) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #807.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |   (1483)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1484)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1485)  all_24_11 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | |   (1486)  op2(e22, e21) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1487)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (73), (80), (101), (129), (1487) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |   (1488)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1489)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1489) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1490)  all_24_8 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (59), (62), (68), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |            (89), (92), (118), (129), (133), (163), (168),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |            (170), (174), (177), (190), (192), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (1388), (1406), (1490) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #807.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |   (1491)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1492)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (56), (57), (66), (68), (70),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (73), (76), (80), (85), (89), (92), (93), (96),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (101), (105), (107), (109), (113), (129), (134),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (139), (151), (155), (160), (166), (169), (170),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (171), (172), (176), (180), (183), (184), (187),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (203), (215), (220),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            (227), (229), (232), (1415), (1492) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #721.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1493) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_24_22 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | |   (1495)  op2(e20, e22) = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1496) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1497) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  all_24_20 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  op2(e20, e24) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (105), (183), (197), (1384), (1500)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #656.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1485), (1502) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #689.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1503) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1422), (1504) are inconsistent by sub-proof #532.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1505) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_24_23 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  op2(e20, e21) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_19, e21, e21, e20,
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (1507) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  all_16_19 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_14, e22, e22, e20,
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (107), (1495) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_16_14 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_4, e24, e24, e20,
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (1499) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_16_4 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_17, e22, e21, e22,
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (163), (1486) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  all_16_17 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1511) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)   ~ (e24 = e22)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (1508) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)   ~ (e24 = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1508) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)   ~ (e23 = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1515) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1516) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)  all_24_12 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (76), (80), (86), (89), (92), (93), (96),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (113), (129), (151), (166), (169), (170),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (183), (187), (190), (196), (197), (199),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (227), (229), (232), (1494), (1498),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1506), (1517), (1518) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #529.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1519) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1520) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  all_24_14 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (190),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1522)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #533.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1524) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)  all_24_6 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1527) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  all_24_6 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1525), (1528) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1529)  e21 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1529) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1530)  all_24_14 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (28), (30), (36), (49), (51), (53), (57),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (105), (113),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (155), (176), (183), (184),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (190), (196), (197), (215), (220),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (232), (1375), (1415), (1452), (1494),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1530) are inconsistent by sub-proof #528.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1531) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)  all_24_7 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (80), (89), (104), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (176), (183), (187), (190), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (229), (232), (1375), (1498), (1525),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1533) are inconsistent by sub-proof #525.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1534) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1535) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  all_24_7 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1532), (1536) are inconsistent by sub-proof
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #869.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1537) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1538) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)  all_24_13 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1540) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1541) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)  all_24_6 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (85), (86), (89), (93), (105),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (129), (155), (176), (183), (187), (190),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (218), (220), (227), (232),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1485), (1539), (1542) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #523.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1543) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_24_7 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (190), (196), (197), (215), (227),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1539), (1544) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #831.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1545) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (166), (183), (187), (190), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (1415), (1539), (1546)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #841.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1547) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (119), (163), (1548) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1549) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  all_24_18 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1552) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_24_4 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (51), (53), (55), (57), (66), (68), (70),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (88), (89), (93), (105), (107), (109),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (127), (129), (139), (155), (183), (187),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (203), (215), (232), (1375),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1384), (1553) are inconsistent by sub-proof #522.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1554) are inconsistent by sub-proof
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (166), (183), (187), (190), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (1415), (1539), (1556)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #841.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1557) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1558) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)  all_24_14 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1559) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)  e24 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1560) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  e24 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1539), (1561) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  all_24_13 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1532), (1562) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1563) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)  all_24_22 = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1494), (1564) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  e24 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1550), (1565) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  all_24_18 = e22
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (80), (105), (119), (163), (178), (187),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (1415), (1525), (1532), (1566) are
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #801.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (1567) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (80), (85), (89), (105), (113), (129),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (163), (183), (187), (190), (196), (197),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (215), (232), (1391), (1415), (1453),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1568) are inconsistent by sub-proof #520.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1569) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1570)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1570) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1571)  all_24_12 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1517), (1571) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1572)  e21 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1572) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1573)  e21 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1573) imply:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1574)  all_24_14 = e20
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (28), (30), (36), (49), (51), (53), (57),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (105), (113),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (155), (176), (183), (184),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (190), (196), (197), (215), (220),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (232), (1375), (1415), (1452), (1494),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1574) are inconsistent by sub-proof #528.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1575)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1575) implies:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1576)  all_24_20 = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1577)  op2(e20, e24) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (57), (68), (70), (76), (80), (92),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (101), (105), (107), (113), (139), (155),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (196), (197), (199),
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (1576), (1577) are inconsistent by
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #766.
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1578)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1579)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.63/48.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1422), (1579) are inconsistent by sub-proof #532.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1580)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1580) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1581)  all_24_19 = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1452), (1581) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #685.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1582)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1582) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1583)  all_24_13 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1584)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1585)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (151), (187), (1585) are inconsistent by sub-proof
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1586)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (229), (1586) are inconsistent by sub-proof
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1587)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1587) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1588)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1588) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1589)  all_24_7 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1590)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1591)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1591) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1592)  all_24_6 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1593)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1592), (1593) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #542.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1594)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1595)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1595) are inconsistent by sub-proof #758.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1596)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1596) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1485), (1597) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #689.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (53), (68), (80), (85), (89), (113),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (155), (196), (197), (1598) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #797.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1589), (1599) are inconsistent by sub-proof
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #847.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (80), (85), (89), (105), (113), (129),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (163), (183), (187), (190), (196), (197),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (215), (232), (1391), (1415), (1453),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1600) are inconsistent by sub-proof #520.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (196), (199), (1583), (1601) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #604.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)  all_24_14 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (28), (30), (36), (49), (51), (53), (57),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (73), (80), (85), (89), (105), (113),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (155), (176), (183), (184),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (190), (196), (197), (215), (220),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (232), (1375), (1415), (1452), (1494),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1604) are inconsistent by sub-proof #528.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1605) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (175), (1394), (1606) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #519.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (53), (70), (80), (89), (109), (129),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (1607) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (1608) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (80), (171), (187), (203), (1494),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (1609) are inconsistent by sub-proof #586.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1610)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (1610) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1611)  all_24_18 = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1612)  op2(e22, e20) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (46), (49), (51), (53), (57), (66), (68),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (220), (223),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |            (232), (1452), (1611), (1612) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |            sub-proof #683.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | |   (1613)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.72  | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.72  | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (1613)
% 244.63/48.72  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #619.
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | |   (1614)  all_24_23 = e23 & op2(e20, e21) = e23
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | REF_CLOSE: (10), (44), (49), (51), (52), (53), (56), (57),
% 244.63/48.72  | | | | | | | | | | | | | |            (66), (68), (73), (76), (80), (85), (89), (92),
% 244.63/48.72  | | | | | | | | | | | | | |            (93), (96), (105), (113), (129), (134), (151),
% 244.63/48.72  | | | | | | | | | | | | | |            (166), (169), (170), (171), (176), (180), (183),
% 244.63/48.72  | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (203), (215),
% 244.63/48.72  | | | | | | | | | | | | | |            (220), (227), (229), (232), (1614) are
% 244.63/48.72  | | | | | | | | | | | | | |            inconsistent by sub-proof #546.
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | |   (1615)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.63/48.72  | | | | | | | | | | |           (all_24_22 = e23 & op2(e20, e22) = e23)
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | REF_CLOSE: (37), (45), (80), (107), (1405), (1615) are
% 244.63/48.72  | | | | | | | | | | |            inconsistent by sub-proof #717.
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | 
% 244.63/48.72  | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | 
% 244.63/48.72  | | | | | | | | |   (1616)   ~ (all_20_18 = e23)
% 244.63/48.72  | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | REDUCE: (97), (1616) imply:
% 244.63/48.72  | | | | | | | | |   (1617)   ~ (all_6_2 = e23)
% 244.63/48.72  | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | BETA: splitting (158) gives:
% 244.63/48.72  | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | |   (1618)  (all_24_9 = e23 & op2(e24, e21) = e23) |
% 244.63/48.72  | | | | | | | | | |           (all_24_10 = e23 & op2(e23, e21) = e23)
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | REF_CLOSE: (53), (80), (185), (196), (197), (1189), (1618)
% 244.63/48.72  | | | | | | | | | |            are inconsistent by sub-proof #564.
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | |   (1619)  (all_24_11 = e23 & op2(e22, e21) = e23) |
% 244.63/48.72  | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.72  | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | BETA: splitting (1619) gives:
% 244.63/48.72  | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | |   (1620)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | ALPHA: (1620) implies:
% 244.63/48.72  | | | | | | | | | | |   (1621)  all_24_11 = e23
% 244.63/48.72  | | | | | | | | | | |   (1622)  op2(e22, e21) = e23
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | BETA: splitting (103) gives:
% 244.63/48.72  | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | |   (1623)  (all_24_12 = e23 & op2(e21, e24) = e23) |
% 244.63/48.72  | | | | | | | | | | | |           (all_24_13 = e23 & op2(e21, e23) = e23)
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.72  | | | | | | | | | | | |            (151), (166), (183), (187), (189), (190), (196),
% 244.63/48.72  | | | | | | | | | | | |            (197), (215), (227), (229), (232), (1389), (1623)
% 244.63/48.72  | | | | | | | | | | | |            are inconsistent by sub-proof #714.
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | |   (1624)  (all_24_14 = e23 & op2(e21, e22) = e23) |
% 244.63/48.72  | | | | | | | | | | | |           (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.63/48.72  | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | BETA: splitting (1624) gives:
% 244.63/48.72  | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | |   (1625)  all_24_14 = e23 & op2(e21, e22) = e23
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | ALPHA: (1625) implies:
% 244.63/48.72  | | | | | | | | | | | | |   (1626)  all_24_14 = e23
% 244.63/48.72  | | | | | | | | | | | | |   (1627)  op2(e21, e22) = e23
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_13, e23, e22, e21,
% 244.63/48.72  | | | | | | | | | | | | |              simplifying with (37), (1627) gives:
% 244.63/48.72  | | | | | | | | | | | | |   (1628)  all_16_13 = e23
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_17, e23, e21, e22,
% 244.63/48.72  | | | | | | | | | | | | |              simplifying with (163), (1622) gives:
% 244.63/48.72  | | | | | | | | | | | | |   (1629)  all_16_17 = e23
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (126), (1628) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1630)   ~ (all_16_23 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (18), (1629) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1631)   ~ (all_16_19 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (156), (1629) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1632)   ~ (all_16_22 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (9), (1629) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1633)   ~ (all_6_2 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (161), (1629) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1634)   ~ (all_4_2 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | SIMP: (1634) implies:
% 244.63/48.72  | | | | | | | | | | | | |   (1635)   ~ (all_4_2 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | REDUCE: (119), (1629) imply:
% 244.63/48.72  | | | | | | | | | | | | |   (1636)   ~ (e24 = e23)
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.63/48.72  | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | |   (1637)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.72  | | | | | | | | | | | | | |            (129), (133), (135), (147), (177), (192), (196),
% 244.63/48.72  | | | | | | | | | | | | | |            (197), (210), (232), (1637) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | |            sub-proof #805.
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | |   (1638)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | BETA: splitting (1638) gives:
% 244.63/48.72  | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | |   (1639)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | ALPHA: (1639) implies:
% 244.63/48.72  | | | | | | | | | | | | | | |   (1640)  all_24_18 = e22
% 244.63/48.72  | | | | | | | | | | | | | | |   (1641)  op2(e22, e20) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_22, e22, e20, e22,
% 244.63/48.72  | | | | | | | | | | | | | | |              simplifying with (59), (1641) gives:
% 244.63/48.72  | | | | | | | | | | | | | | |   (1642)  all_16_22 = e22
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | REDUCE: (168), (1642) imply:
% 244.63/48.72  | | | | | | | | | | | | | | |   (1643)   ~ (e23 = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | |   (1644)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | |           (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | REF_CLOSE: (75), (76), (80), (189), (205), (1644) are
% 244.63/48.72  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | |   (1645)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | |   (1646)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.72  | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.72  | | | | | | | | | | | | | | | | |            (210), (232), (1626), (1646) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | |            sub-proof #712.
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | |   (1647)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | | |           (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | |   (1648)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | ALPHA: (1648) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | |   (1649)  all_24_15 = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | |   (1650)  op2(e21, e21) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |   (1651)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (73), (80), (101), (129), (1651) are
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |   (1652)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1653)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (1653) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1654)  all_24_8 = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |   (1655)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |   (1656)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |   (1657)  all_24_6 = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |   (1658)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (1375),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |            (1658) are inconsistent by sub-proof #534.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |   (1659)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1660) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_24_6 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (76), (80), (85), (86), (89), (92),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (93), (105), (113), (129), (151), (155), (166),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (176), (183), (187), (190), (196),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (197), (199), (215), (218), (220), (227), (229),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1621), (1654), (1661) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #518.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |   (1662)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1663) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_24_12 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e24) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1665) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (1375), (1666) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #677.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_24_2 = e24 & op2(e23, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (68), (73), (80), (89), (113),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (176), (187), (196), (197), (232), (1667)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #826.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)  (all_24_6 = e24 & op2(e22, e24) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1668) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1657), (1669) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #804.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1671) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_24_12 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1672) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  e24 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1673) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  $false
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1674) is inconsistent.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1675) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  all_24_20 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1678) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  all_24_6 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (76), (80), (85), (86), (89), (92),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (105), (113), (129), (151), (155), (166),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (176), (183), (187), (190), (196),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (199), (215), (218), (220), (227), (229),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1621), (1654), (1679) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #518.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  all_24_7 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (80), (89), (104), (105), (113), (129),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (176), (183), (187), (190), (196), (197),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (229), (232), (1375), (1657), (1676),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1682) are inconsistent by sub-proof #525.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  (all_24_7 = e24 & op2(e22, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1684) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_24_7 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1681), (1685) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  e24 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1686) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  $false
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1687) is inconsistent.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  (all_24_13 = e24 & op2(e21, e23) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1688) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1689) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_24_13 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1692) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_24_6 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1657), (1693) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  e24 = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1690), (1694) imply:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  all_24_13 = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1681), (1695) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_24_7 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (86), (89), (93), (105), (113), (129),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (190), (196), (197), (215), (227),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1690), (1697) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #831.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1699) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  all_24_8 = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1654), (1700) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #692.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (119), (163), (1702) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1640), (1703) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #802.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (1704) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1705) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1706) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  all_24_8 = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (232), (1654), (1707)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #713.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (163), (1391), (1709) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #521.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (80), (87), (1710) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)  op2(e20, e24) = e20
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (80), (109), (1712) are inconsistent by
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1713) implies:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |   (1714)  all_24_7 = e21
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | |            (232), (1714) are inconsistent by sub-proof #744.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |   (1715)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (190),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1621), (1641),
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |            (1654), (1715) are inconsistent by sub-proof #577.
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |   (1716)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | |   (1717)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.63/48.72  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |            (210), (232), (1626), (1717) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |            sub-proof #712.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |   (1718)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |   (1719)  all_24_22 = e22
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | |   (1720)  op2(e20, e22) = e22
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | |   (1721)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | |   (1722)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1722) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | |   (1723)  all_24_20 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | |   (1724)  op2(e20, e24) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (105), (183), (197), (1384), (1725)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #656.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | |            (1621), (1727) are inconsistent by sub-proof #624.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1728) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1649), (1729) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1730) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  all_24_23 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  op2(e20, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_19, e21, e21, e20,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (1732) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  all_16_19 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_14, e22, e22, e20,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (107), (1720) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  all_16_14 = e22
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_4, e24, e24, e20,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (44), (1724) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  all_16_4 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_6_2, e22, e21, e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (175), (1650) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_6_2 = e22
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1733), (1736) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)   ~ (e22 = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (1733) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)   ~ (e24 = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1733) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)   ~ (e23 = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1736) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)   ~ (e24 = e22)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1736) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  op2(e21, e22) = all_6_1
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e23, all_6_1, e22, e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1627), (1741) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_6_1 = e23
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1742) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  op2(e23, e21) = all_6_0
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with e24, all_6_0, e21, e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (53), (1743) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  all_6_0 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (1744) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  op2(e21, e24) = all_6_3
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_3, all_6_3, e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              e21, simplifying with (189), (1745) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  all_16_3 = all_6_3
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1746) imply:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)   ~ (all_6_3 = e23)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (1375),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1748) are inconsistent by sub-proof #534.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1750) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  all_24_6 = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e22, e23) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1751), (1752) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #542.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1753) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1754) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_24_8 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1756) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1757) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  all_24_4 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (51), (53), (55), (57), (66), (68), (70),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (88), (89), (93), (105), (107), (109),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (127), (129), (139), (155), (183), (187),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (203), (215), (232), (1375),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1384), (1758) are inconsistent by sub-proof #522.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1759) are inconsistent by sub-proof
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1760) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1755), (1761) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #550.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1762) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (1626), (1763) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1719), (1764) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #601.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1765) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1621), (1766) are inconsistent by sub-proof #624.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (1641), (1767) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #740.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1769) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  all_24_12 = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)  op2(e21, e24) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (76), (80), (86), (89), (92), (93), (96),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (113), (129), (151), (166), (169), (170),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (183), (187), (190), (196), (197), (199),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (227), (229), (232), (1719), (1723),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1731), (1770), (1772) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #529.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1626), (1774) are inconsistent by sub-proof #707.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1649), (1776) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1777) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)  all_24_19 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e24) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (190),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1779)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #533.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1781) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)  all_24_6 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)  op2(e22, e24) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e22, e23) = e20)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1782), (1785) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #578.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1786) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)  all_24_7 = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)  op2(e22, e23) = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1790) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)  all_24_12 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1770), (1791) are inconsistent by sub-proof
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #527.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1792) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_24_13 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)  op2(e21, e23) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)  (all_24_16 = e24 & op2(e24, e20) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1795) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1796) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  all_24_16 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  op2(e24, e20) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e22, e23) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (86), (89), (92), (93), (105), (113),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (169), (170), (183), (187),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (199), (215), (227), (229),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1782), (1787), (1793), (1799) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #830.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1801) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)  all_24_8 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  op2(e22, e22) = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1805) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)  op2(e24, e22) = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_8, e24, e23, e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (76), (1794) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  all_16_8 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_6_3, e20, e24, e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1745), (1771) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_6_3 = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_4_2, e24, e22, e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (202), (1803) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_4_2 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_7, e20, e23, e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (170), (1788) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  all_16_7 = e20
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_12_0, e21, e24, e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (1400), (1783) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)  all_12_0 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_20, e24, e20, e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (147), (1798) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)  all_16_20 = e24
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_10, e21, e22, e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (3), (1806) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  all_16_10 = e21
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1815) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (85), (93), (1783), (1806), (1816) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #516.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_4) & $i(all_22_32) & $i(all_22_33)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1818) implies:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1819)   ~ (all_22_32 = all_22_33)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1820)  op2(e21, e24) = all_22_32
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1821)  op2(e24, e21) = all_22_33
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1385), (1771), (1819), (1820), (1821) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #515.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1822)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (85), (93), (1724), (1798), (1822) are
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #613.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1823)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (53), (80), (129), (1783), (1788),
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1794), (1806), (1823) are inconsistent by
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #511.
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1824)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1825)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1825) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1826)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1826) gives:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1827)  all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_26) & $i(all_22_40) & $i(all_22_41)
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1827) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1828)   ~ (all_22_40 = all_22_41)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1829)  op2(e21, e22) = all_22_40
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1830)  op2(e22, e21) = all_22_41
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1622), (1627), (1828), (1829), (1830) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #510.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1831)  all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_28) & $i(all_22_54) & $i(all_22_55)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1831) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1832)   ~ (all_22_54 = all_22_55)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1833)  op2(e20, e22) = all_22_54
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1834)  op2(e22, e20) = all_22_55
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1641), (1720), (1832), (1833), (1834) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1835)  (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1835) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1836)  all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_30) & $i(all_22_32) & $i(all_22_33)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1836) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1837)   ~ (all_22_32 = all_22_33)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1838)  op2(e21, e24) = all_22_32
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1839)  op2(e24, e21) = all_22_33
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1385), (1771), (1837), (1838), (1839) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #515.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1841)  all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_34) & $i(all_22_36) & $i(all_22_37)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1841) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1842)   ~ (all_22_36 = all_22_37)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1843)  op2(e21, e23) = all_22_36
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1844)  op2(e23, e21) = all_22_37
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (1794), (1842), (1843), (1844) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1845)  all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_38) & $i(all_22_40) & $i(all_22_41)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1845) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1846)   ~ (all_22_40 = all_22_41)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1847)  op2(e21, e22) = all_22_40
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1848)  op2(e22, e21) = all_22_41
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1622), (1627), (1846), (1847), (1848) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #510.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1849)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1850)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_44) & $i(all_22_46) & $i(all_22_47))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1850) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1851)  all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_42) & $i(all_22_58) & $i(all_22_59)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1851) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1852)   ~ (all_22_58 = all_22_59)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  op2(e20, e21) = all_22_58
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1854)  op2(e21, e20) = all_22_59
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (36), (43), (53), (80), (81), (89), (101),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (129), (155), (172), (196), (197), (201),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (1852), (1853), (1854) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #508.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)  all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_44) & $i(all_22_46) & $i(all_22_47)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1855) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)   ~ (all_22_46 = all_22_47)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)  op2(e20, e24) = all_22_46
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1858)  op2(e24, e20) = all_22_47
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1724), (1798), (1856), (1857), (1858) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #614.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1859)  (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1860)  all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_48) & $i(all_22_50) & $i(all_22_51)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1861)   ~ (all_22_50 = all_22_51)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1862)  op2(e20, e23) = all_22_50
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1863)  op2(e23, e20) = all_22_51
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (80), (1861), (1862), (1863) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1864)  (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1864) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1865)  all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_52) & $i(all_22_54) & $i(all_22_55)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1865) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1866)   ~ (all_22_54 = all_22_55)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1867)  op2(e20, e22) = all_22_54
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1868)  op2(e22, e20) = all_22_55
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1641), (1720), (1866), (1867), (1868) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)  all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_56) & $i(all_22_58) & $i(all_22_59)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1869) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)   ~ (all_22_58 = all_22_59)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  op2(e20, e21) = all_22_58
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  op2(e21, e20) = all_22_59
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (36), (43), (53), (80), (81), (89), (101),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (127), (129), (155), (172), (196), (197), (201),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (1870), (1871), (1872) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #508.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (129), (183), (1873) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1875)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1875) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1876)  all_24_8 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1802), (1876) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1877)  e24 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1793), (1877) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1878)  all_24_13 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1787), (1878) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1879)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1879) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1880)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1626), (1880) are inconsistent by sub-proof #707.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1881)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (1720), (1881) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #763.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1882)  (all_24_11 = e24 & op2(e22, e21) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1883)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (119), (163), (1883) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1884)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1885)  all_24_18 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1886)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (68), (80), (85), (89), (129),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (135), (147), (196), (197), (232), (1886) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #648.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1638) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1640), (1885) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #728.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1887)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1888)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1888) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1889)  all_24_19 = e22
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1890)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (196), (197), (215), (232), (1797),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1890) are inconsistent by sub-proof #659.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1891)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1892)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1892) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1893)  all_24_18 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1885), (1893) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #791.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1894)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (196), (197), (215), (220), (232), (1889),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894) are inconsistent by sub-proof #684.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1895)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (1895)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #722.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1896)  all_24_17 = e24 & op2(e23, e20) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1896) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1897)  all_24_17 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (129),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (232), (1897) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1898)  (all_24_18 = e24 & op2(e22, e20) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1898) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1899)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1640), (1899) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #802.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1900)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1900) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1901)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1901) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1902)  all_24_19 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1778), (1902) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1903)  e24 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1793), (1903) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1904)  all_24_13 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1787), (1904) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #835.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1905)  all_24_24 = e24 & op2(e20, e20) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (1905) are inconsistent by sub-proof
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #768.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1906)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (79), (80), (89), (104), (105), (113),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (175), (176), (183), (187), (190), (196),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (232), (1375), (1626), (1723),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1778), (1782), (1906) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #507.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1907)  (all_24_8 = e20 & op2(e22, e22) = e20) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1907) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1908)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1908) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1909)  all_24_8 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1910)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1911)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1911) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1912)  all_24_4 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1913)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1914)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1915)  all_24_12 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1915) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1916)  e24 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1917)  e24 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1912), (1917) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1918)  all_24_4 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (151), (152),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (176), (183), (184), (185), (187), (190),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1626),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1719), (1918) are inconsistent by sub-proof #501.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1919)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1919) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1920)  all_24_13 = e24
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1921)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e23) = e20)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1921) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1922)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (1922) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1923)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (80), (183), (1923) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1924)  (all_24_7 = e20 & op2(e22, e23) = e20) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1924) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1925)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1925) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1926)  all_24_7 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1927)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1928)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1929)  all_24_4 = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (57), (68), (76), (80), (92), (93),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (151), (166), (169), (170), (187), (196),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (229), (1912), (1920), (1926), (1929) are
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #500.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1930)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (129), (183), (1930) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1931)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1931) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1932)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1909), (1932) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #499.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1933)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1933) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1934)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1626), (1934) are inconsistent by sub-proof #503.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1935)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (113), (1720), (1935) are inconsistent by
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #763.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1936)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1937)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1937) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1938)  all_24_13 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1920), (1938) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1939)  e24 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1912), (1939) imply:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1940)  all_24_4 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (151), (152),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (176), (183), (184), (185), (187), (190),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1626),
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1719), (1940) are inconsistent by sub-proof #501.
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1941) implies:
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1942)  all_24_21 = e20
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.63/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (1942) imply:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1943)  e23 = e20
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1943) are
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1944)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (79), (80), (89), (104), (105), (113),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (175), (176), (183), (187), (190), (196),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (232), (1375), (1626), (1723),
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1778), (1782), (1944) are inconsistent by
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #507.
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1945)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (1945) are inconsistent by sub-proof
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1946)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1947)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (1909), (1947) are inconsistent by sub-proof
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #710.
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1948)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1949)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (1626), (1949) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1950)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1719), (1950) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #601.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  (all_24_11 = e20 & op2(e22, e21) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (163), (1391), (1952) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #521.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (80), (87), (1953) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (49), (51), (52),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (57), (68), (70), (76), (80), (92),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (101), (105), (107), (113), (139), (155),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (171), (172), (183), (196), (197),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (203), (1770), (1954) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #702.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1955) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  op2(e20, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (80), (109), (1956) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |   (1957)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (1957) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |   (1958)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (80), (171), (187), (203), (1719),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |            (1958) are inconsistent by sub-proof #586.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | |   (1959)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | ALPHA: (1959) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | |   (1960)  all_24_19 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (46), (49), (51), (53), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (220), (223),
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            (232), (1640), (1641), (1960) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            sub-proof #683.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | |   (1961)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | BETA: splitting (1961) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | |   (1962)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | ALPHA: (1962) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | |   (1963)  all_24_19 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | |   (1964)  op2(e21, e20) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_16_23, e22, e20, e21,
% 244.71/48.75  | | | | | | | | | | | | | | | |              simplifying with (212), (1964) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | |   (1965)  all_16_23 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | REDUCE: (193), (1965) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | |   (1966)   ~ (e23 = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | |   (1967)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | |           (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | |            (73), (80), (88), (89), (93), (105), (113), (117),
% 244.71/48.75  | | | | | | | | | | | | | | | | |            (129), (151), (152), (176), (183), (185), (187),
% 244.71/48.75  | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (220), (232), (1375),
% 244.71/48.75  | | | | | | | | | | | | | | | | |            (1967) are inconsistent by sub-proof #496.
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | |   (1968)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | |           (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | |   (1969)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            (210), (232), (1621), (1969) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | |   (1970)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | |   (1971)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | ALPHA: (1971) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | |   (1972)  all_24_15 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |   (1973)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (105), (183), (197), (1384), (1973)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #656.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |   (1974)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | |   (1975)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | |            (1621), (1975) are inconsistent by sub-proof #624.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | |   (1976)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |   (1977)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1972), (1977) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |   (1978)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1978) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | |   (1979)  all_24_23 = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |   (1980)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (85), (89), (92), (93), (105), (113),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (166), (170), (176), (180), (183),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (199), (215), (227),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            (229), (232), (1980) are inconsistent by sub-proof
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |            #775.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |   (1981)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1982) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | |   (1983)  all_24_22 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_24_20 = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1987) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)  all_24_12 = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)  all_24_12 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1989), (1992) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #703.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1993) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)  all_24_13 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e23, e24) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (73),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (176), (183),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (196), (197), (215), (232), (1375),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1995) are inconsistent by sub-proof #534.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1996) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1997) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)  all_24_6 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e22, e23) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1999) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)  all_24_6 = e22 & op2(e22, e24) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2000) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)  all_24_6 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1998), (2001) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)  e22 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (2002) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)  all_24_2 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (68), (73), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (183), (187),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (2003) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  all_24_7 = e22 & op2(e22, e23) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)  all_24_7 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (54), (56), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (93), (105), (113), (118),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (151), (166), (176), (177), (183),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (190), (192), (196), (197), (199), (210),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (227), (229), (232), (1994), (2005) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #761.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  all_24_8 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (36), (49), (51), (53), (56), (57), (66),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (76), (80), (85), (86), (89), (92),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (105), (113), (129), (151), (155), (166),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (176), (183), (187), (190), (196),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (199), (215), (218), (220), (227), (229),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1621), (1998), (2008) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #518.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2009) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (54), (57), (68), (80), (89), (118),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (133), (177), (190), (192), (196), (197),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (232), (1621), (2010) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #567.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2011) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)  all_24_18 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)  op2(e22, e20) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (46), (49), (51), (53), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (220), (223),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (1963), (2012), (2013) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #683.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2015) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  all_24_12 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1989), (2016) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  e21 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (76), (80), (86), (89), (92), (93), (96),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (113), (129), (151), (166), (169), (170),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (183), (187), (190), (196), (197), (199),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (227), (229), (232), (1979), (1983),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1986), (1994), (2017) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #531.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2018) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  op2(e20, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (80), (109), (2019) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #962.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2020) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2021) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)  all_24_14 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1626), (2022) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  e23 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (2023) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2024) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (175), (1394), (2025) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #519.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (53), (70), (80), (89), (109), (129),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (155), (196), (197), (201), (2026) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (76), (80), (86), (89), (92), (93), (96),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (113), (129), (151), (166), (169), (170),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (176), (183), (187), (190), (196), (197), (199),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (227), (229), (232), (1979), (1983),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1986), (2027) are inconsistent by sub-proof #530.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1626), (2029) are inconsistent by sub-proof #503.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2030) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2031) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)  all_24_15 = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1972), (2032) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #654.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2033) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)  all_24_19 = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1963), (2034) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #685.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (57), (68), (76), (80), (92), (93), (169),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (196), (199), (2035) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (1983), (2037) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #601.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (80), (171), (203), (2038) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  all_24_23 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2042) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2043) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  all_24_9 = e21
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e22 & op2(e23, e22) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  all_24_4 = e22 & op2(e24, e22) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  all_24_4 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1375), (2049) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (2050) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2051) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_24_4 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2047), (2052) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  e22 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2053) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  e22 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (2054) imply:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_24_2 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (68), (73), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (183), (187),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (2055) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1307.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (31), (49), (51), (53), (56), (57), (66),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (88), (89), (93), (105), (113),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (176), (183), (185), (187),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (1375), (1382),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1621), (1972), (2041), (2044) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #492.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  all_24_5 = e22 & op2(e23, e22) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (129), (2056) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2058) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)  all_24_8 = e22
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2060) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1375), (2061) are
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (2062) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2063) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_24_4 = e20
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e23, e22) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (2064), (2066) are inconsistent by sub-proof
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #506.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (220), (2067) are inconsistent by sub-proof
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1322.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (2059), (2069) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #491.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2070) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (1626), (2071) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #502.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2072) implies:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)  all_24_22 = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e23) = e24)
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2074) gives:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (1375), (2075) are inconsistent by
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #677.
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2076) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)  all_24_1 = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (2077) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)  e24 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2078) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)  e24 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2073), (2079) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  all_24_22 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (151), (152),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (176), (183), (184), (185), (187), (190),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1626),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2064), (2080) are inconsistent by sub-proof #501.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op2(e24, e20) = e24)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (2064), (2082) are inconsistent by sub-proof
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #506.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2083) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (80), (185), (2084) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)  all_24_16 = e24
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e21 & op2(e23, e22) = e21)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (129), (183), (2064), (2087) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #505.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2088)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2088) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2089)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2090)  all_24_8 = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (2059), (2090) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2091)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2092)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1626), (2092) are inconsistent by sub-proof #503.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2093)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2093) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2094)  all_24_22 = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2073), (2094) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2095)  e24 = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (2095) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2096)  all_24_16 = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (80), (105), (151), (152), (185),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (196), (1375), (2064), (2096) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #504.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (31), (49), (51), (53), (56), (57), (66),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (88), (89), (93), (105), (113),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (176), (183), (185), (187),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (1375), (1382),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1621), (1972), (2041), (2044) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #492.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2097)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2097) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2098)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2098) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2099)  all_24_14 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1626), (2099) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2100)  e23 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2100) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2101)  e23 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (2101) imply:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2102)  all_24_17 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (68), (80), (85), (89), (129),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (232), (2102) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2103)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2103) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2104)  all_24_22 = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2105)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e20 & op2(e24, e23) = e20)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2105) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2106)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (56), (57), (66), (68), (80),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (183), (187), (190),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (232), (1375), (2106) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2107)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (80), (93), (2107) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2108)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2108) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2109)  all_24_4 = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (49), (51), (53), (57), (66), (68), (73),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (105), (113), (129), (151), (152),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (176), (183), (184), (185), (187), (190),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (215), (220), (232), (1375), (1626),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2104), (2109) are inconsistent by sub-proof #501.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (1384), (2044) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #674.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2110)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2110) implies:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2111)  all_24_16 = e20
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (31), (49), (51), (53), (56), (57), (66),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (73), (80), (88), (89), (93), (105), (113),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (151), (152), (176), (183), (185), (187),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (196), (197), (215), (232), (1375), (1621),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1972), (2041), (2111) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #493.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2112)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (80), (105), (197), (2112) are inconsistent
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2113)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (53), (57), (66), (68), (80), (89), (105),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (187), (190), (196), (197), (215), (232),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1621), (2113) are inconsistent by sub-proof #624.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2114)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1972), (2114) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (51), (53), (57), (66), (68), (73), (80),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (105), (113), (129), (176), (187), (196),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (215), (220), (232), (1978), (2041) are
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #583.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (2115)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (2115)
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #722.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |   (2116)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (33), (36), (43), (44), (49), (51),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (52), (53), (55), (57), (66), (68), (70), (73),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (76), (80), (89), (92), (93), (96), (101), (105),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (107), (109), (113), (129), (139), (155), (169),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (170), (171), (172), (176), (183), (187), (190),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (196), (197), (199), (203), (215), (220), (232),
% 244.71/48.76  | | | | | | | | | | | | | | | | | | |            (2116) are inconsistent by sub-proof #730.
% 244.71/48.76  | | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | |   (2117)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.71/48.76  | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (49), (51), (53), (56), (57), (66), (68),
% 244.71/48.76  | | | | | | | | | | | | | | | |            (73), (80), (89), (105), (113), (129), (176),
% 244.71/48.76  | | | | | | | | | | | | | | | |            (183), (187), (196), (197), (215), (232), (2117)
% 244.71/48.76  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #619.
% 244.71/48.76  | | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | |   (2118)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.71/48.76  | | | | | | | | | | | | |           (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.71/48.76  | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 244.71/48.76  | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | |   (2119)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | REF_CLOSE: (80), (175), (1617), (2119) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | |            sub-proof #680.
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | |   (2120)  all_24_19 = e23 & op2(e21, e20) = e23
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | | REF_CLOSE: (80), (193), (212), (2120) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | | | |            sub-proof #679.
% 244.71/48.76  | | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | |   (2121)  (all_24_15 = e23 & op2(e21, e21) = e23) |
% 244.71/48.76  | | | | | | | | | | |           (all_24_23 = e23 & op2(e20, e21) = e23)
% 244.71/48.76  | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | BETA: splitting (2121) gives:
% 244.71/48.76  | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | Case 1:
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | |   (2122)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | REF_CLOSE: (80), (175), (1617), (2122) are inconsistent by
% 244.71/48.76  | | | | | | | | | | | |            sub-proof #680.
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | |   (2123)  all_24_23 = e23 & op2(e20, e21) = e23
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | | REF_CLOSE: (10), (44), (49), (51), (52), (53), (56), (57),
% 244.71/48.76  | | | | | | | | | | | |            (66), (68), (73), (76), (80), (85), (89), (92),
% 244.71/48.76  | | | | | | | | | | | |            (93), (96), (105), (113), (129), (134), (151),
% 244.71/48.76  | | | | | | | | | | | |            (166), (169), (170), (171), (176), (180), (183),
% 244.71/48.76  | | | | | | | | | | | |            (187), (190), (196), (197), (199), (203), (215),
% 244.71/48.76  | | | | | | | | | | | |            (220), (227), (229), (232), (2123) are
% 244.71/48.76  | | | | | | | | | | | |            inconsistent by sub-proof #546.
% 244.71/48.76  | | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | | 
% 244.71/48.76  | | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | | 
% 244.71/48.76  | | | | | | | | End of split
% 244.71/48.76  | | | | | | | | 
% 244.71/48.76  | | | | | | | Case 2:
% 244.71/48.76  | | | | | | | | 
% 244.71/48.76  | | | | | | | |   (2124)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.71/48.76  | | | | | | | | 
% 244.71/48.76  | | | | | | | | ALPHA: (2124) implies:
% 244.71/48.76  | | | | | | | |   (2125)  op2(e24, e20) = e20
% 244.71/48.76  | | | | | | | | 
% 244.71/48.76  | | | | | | | | REF_CLOSE: (36), (53), (68), (80), (85), (89), (127), (129),
% 244.71/48.76  | | | | | | | |            (155), (196), (197), (2125) are inconsistent by
% 244.71/48.76  | | | | | | | |            sub-proof #885.
% 244.71/48.76  | | | | | | | | 
% 244.71/48.76  | | | | | | | End of split
% 244.71/48.76  | | | | | | | 
% 244.71/48.76  | | | | | | End of split
% 244.71/48.76  | | | | | | 
% 244.71/48.76  | | | | | End of split
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | Case 2:
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | |   (2126)  all_24_1 = e23 & op2(e24, e23) = e23
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | | REF_CLOSE: (68), (80), (93), (2126) are inconsistent by sub-proof
% 244.71/48.76  | | | | |            #956.
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | End of split
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | Case 2:
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | |   (2127)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_9 = e23 &
% 244.71/48.76  | | | |             op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20) =
% 244.71/48.76  | | | |             e23)
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | BETA: splitting (2127) gives:
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | Case 1:
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | |   (2128)  all_24_4 = e23 & op2(e24, e22) = e23
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | | REF_CLOSE: (3), (80), (1372), (2128) are inconsistent by sub-proof
% 244.71/48.76  | | | | |            #915.
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | Case 2:
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | |   (2129)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_16 = e23 &
% 244.71/48.76  | | | | |             op2(e24, e20) = e23)
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | | REF_CLOSE: (50), (80), (147), (185), (1189), (2129) are inconsistent
% 244.71/48.76  | | | | |            by sub-proof #535.
% 244.71/48.76  | | | | | 
% 244.71/48.76  | | | | End of split
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | End of split
% 244.71/48.76  | | | 
% 244.71/48.76  | | End of split
% 244.71/48.76  | | 
% 244.71/48.76  | End of split
% 244.71/48.76  | 
% 244.71/48.76  End of proof
% 244.71/48.76  
% 244.71/48.76  Sub-proof #491 shows that the following formulas are inconsistent:
% 244.71/48.76  ----------------------------------------------------------------
% 244.71/48.76    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.71/48.76    (2)  all_24_8 = e22
% 244.71/48.76    (3)   ~ (e24 = e22)
% 244.71/48.76  
% 244.71/48.76  Begin of proof
% 244.71/48.76  | 
% 244.71/48.76  | ALPHA: (1) implies:
% 244.71/48.76  |   (4)  all_24_8 = e24
% 244.71/48.76  | 
% 244.71/48.76  | COMBINE_EQS: (2), (4) imply:
% 244.71/48.76  |   (5)  e24 = e22
% 244.71/48.76  | 
% 244.71/48.76  | REDUCE: (3), (5) imply:
% 244.71/48.76  |   (6)  $false
% 244.71/48.76  | 
% 244.71/48.76  | CLOSE: (6) is inconsistent.
% 244.71/48.76  | 
% 244.71/48.76  End of proof
% 244.71/48.76  
% 244.71/48.76  Sub-proof #492 shows that the following formulas are inconsistent:
% 244.71/48.76  ----------------------------------------------------------------
% 244.71/48.76    (1)  all_24_0 = e23
% 244.71/48.76    (2)   ~ (all_16_15 = e24)
% 244.71/48.76    (3)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 244.71/48.76           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.71/48.76           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.71/48.76    (4)   ~ (e24 = e20)
% 244.71/48.76    (5)   ~ (e23 = e21)
% 244.71/48.76    (6)  all_24_11 = e23
% 244.71/48.76    (7)  op2(e23, e21) = e24
% 244.71/48.76    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.71/48.76           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.71/48.76           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.71/48.76    (9)  op2(e23, e23) = e21
% 244.71/48.76    (10)  all_24_2 = e22
% 244.71/48.76    (11)   ~ (e23 = e22)
% 244.71/48.76    (12)   ~ (e22 = e20)
% 244.71/48.76    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.76            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.76    (14)  all_24_23 = e22
% 244.71/48.76    (15)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.71/48.76            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.76            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.76    (16)   ~ (e23 = e20)
% 244.71/48.76    (17)  op2(e24, e23) = e22
% 244.71/48.76    (18)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24,
% 244.71/48.76              e20) = e20)
% 244.71/48.76    (19)   ~ (e24 = e21)
% 244.71/48.76    (20)   ~ (e22 = e21)
% 244.71/48.76    (21)  op2(e23, e22) = e20
% 244.71/48.76    (22)  all_24_1 = e22
% 244.71/48.76    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.76            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.76            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.76    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.71/48.76            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.71/48.76            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.71/48.76    (25)   ~ (e21 = e20)
% 244.71/48.76    (26)  op2(e24, e21) = all_16_15
% 244.71/48.76    (27)   ~ (e24 = e22)
% 244.71/48.76    (28)  all_24_17 = e23
% 244.71/48.76    (29)   ~ (e24 = e23)
% 244.71/48.76    (30)  op2(e23, e21) = all_10_1
% 244.71/48.76    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.76            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.76            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.76    (32)  all_24_9 = e21
% 244.71/48.76    (33)  all_24_15 = e22
% 244.71/48.76    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.76  
% 244.71/48.76  Begin of proof
% 244.71/48.76  | 
% 244.71/48.76  | BETA: splitting (18) gives:
% 244.71/48.76  | 
% 244.71/48.76  | Case 1:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (35)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.71/48.76  | | 
% 244.71/48.76  | | ALPHA: (35) implies:
% 244.71/48.76  | |   (36)  all_24_9 = e20
% 244.71/48.76  | | 
% 244.71/48.76  | | REF_CLOSE: (25), (32), (36) are inconsistent by sub-proof #674.
% 244.71/48.76  | | 
% 244.71/48.76  | Case 2:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (37)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.71/48.76  | | 
% 244.71/48.76  | | ALPHA: (37) implies:
% 244.71/48.76  | |   (38)  all_24_16 = e20
% 244.71/48.76  | | 
% 244.71/48.76  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.71/48.76  | |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 244.71/48.76  | |            (25), (26), (27), (28), (29), (30), (31), (33), (34), (38) are
% 244.71/48.76  | |            inconsistent by sub-proof #493.
% 244.71/48.76  | | 
% 244.71/48.76  | End of split
% 244.71/48.76  | 
% 244.71/48.76  End of proof
% 244.71/48.76  
% 244.71/48.76  Sub-proof #493 shows that the following formulas are inconsistent:
% 244.71/48.76  ----------------------------------------------------------------
% 244.71/48.76    (1)  all_24_0 = e23
% 244.71/48.76    (2)   ~ (all_16_15 = e24)
% 244.71/48.76    (3)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 244.71/48.76           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.71/48.76           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.71/48.76    (4)   ~ (e24 = e20)
% 244.71/48.76    (5)   ~ (e23 = e21)
% 244.71/48.76    (6)  all_24_11 = e23
% 244.71/48.76    (7)  op2(e23, e21) = e24
% 244.71/48.76    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.71/48.76           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.71/48.76           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.71/48.76    (9)  op2(e23, e23) = e21
% 244.71/48.76    (10)  all_24_2 = e22
% 244.71/48.76    (11)   ~ (e23 = e22)
% 244.71/48.76    (12)   ~ (e22 = e20)
% 244.71/48.76    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.76            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.76    (14)  all_24_23 = e22
% 244.71/48.76    (15)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.71/48.76            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.76            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.76    (16)   ~ (e23 = e20)
% 244.71/48.76    (17)  op2(e24, e23) = e22
% 244.71/48.76    (18)   ~ (e24 = e21)
% 244.71/48.76    (19)   ~ (e22 = e21)
% 244.71/48.76    (20)  op2(e23, e22) = e20
% 244.71/48.76    (21)  all_24_1 = e22
% 244.71/48.76    (22)  all_24_16 = e20
% 244.71/48.76    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.76            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.76            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.76    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.71/48.76            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.71/48.76            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.71/48.76    (25)   ~ (e21 = e20)
% 244.71/48.76    (26)  op2(e24, e21) = all_16_15
% 244.71/48.76    (27)   ~ (e24 = e22)
% 244.71/48.76    (28)  all_24_17 = e23
% 244.71/48.76    (29)   ~ (e24 = e23)
% 244.71/48.76    (30)  op2(e23, e21) = all_10_1
% 244.71/48.76    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.76            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.76            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.76    (32)  all_24_15 = e22
% 244.71/48.76    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.76  
% 244.71/48.76  Begin of proof
% 244.71/48.76  | 
% 244.71/48.76  | BETA: splitting (3) gives:
% 244.71/48.76  | 
% 244.71/48.76  | Case 1:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (34)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.71/48.76  | |             e21) = e20)
% 244.71/48.76  | | 
% 244.71/48.76  | | BETA: splitting (34) gives:
% 244.71/48.76  | | 
% 244.71/48.76  | | Case 1:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (35)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.71/48.76  | | | 
% 244.71/48.76  | | | ALPHA: (35) implies:
% 244.71/48.76  | | |   (36)  all_24_9 = e20
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (13), (15), (16),
% 244.71/48.76  | | |            (17), (18), (19), (20), (21), (22), (23), (25), (26), (27),
% 244.71/48.76  | | |            (28), (29), (30), (31), (33), (36) are inconsistent by
% 244.71/48.76  | | |            sub-proof #494.
% 244.71/48.76  | | | 
% 244.71/48.76  | | Case 2:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (37)  all_24_10 = e20 & op2(e23, e21) = e20
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (4), (7), (13), (30), (37) are inconsistent by sub-proof #591.
% 244.71/48.76  | | | 
% 244.71/48.76  | | End of split
% 244.71/48.76  | | 
% 244.71/48.76  | Case 2:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (38)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.71/48.76  | |           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.71/48.76  | | 
% 244.71/48.76  | | BETA: splitting (38) gives:
% 244.71/48.76  | | 
% 244.71/48.76  | | Case 1:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (39)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (13), (16), (18),
% 244.71/48.76  | | |            (19), (20), (25), (27), (28), (29), (30), (31), (33), (39) are
% 244.71/48.76  | | |            inconsistent by sub-proof #537.
% 244.71/48.76  | | | 
% 244.71/48.76  | | Case 2:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (40)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 &
% 244.71/48.76  | | |           op2(e20, e21) = e20)
% 244.71/48.76  | | | 
% 244.71/48.76  | | | BETA: splitting (40) gives:
% 244.71/48.76  | | | 
% 244.71/48.76  | | | Case 1:
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | |   (41)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | ALPHA: (41) implies:
% 244.71/48.76  | | | |   (42)  all_24_15 = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (13), (16), (18),
% 244.71/48.76  | | | |            (19), (20), (24), (25), (27), (29), (30), (31), (32), (33),
% 244.71/48.76  | | | |            (42) are inconsistent by sub-proof #785.
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | Case 2:
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | |   (43)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | ALPHA: (43) implies:
% 244.71/48.76  | | | |   (44)  all_24_23 = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | COMBINE_EQS: (14), (44) imply:
% 244.71/48.76  | | | |   (45)  e22 = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | COMBINE_EQS: (10), (45) imply:
% 244.71/48.76  | | | |   (46)  all_24_2 = e20
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | | REF_CLOSE: (4), (5), (7), (8), (9), (11), (12), (13), (16), (18), (19),
% 244.71/48.76  | | | |            (20), (24), (25), (27), (29), (30), (31), (33), (46) are
% 244.71/48.76  | | | |            inconsistent by sub-proof #1307.
% 244.71/48.76  | | | | 
% 244.71/48.76  | | | End of split
% 244.71/48.76  | | | 
% 244.71/48.76  | | End of split
% 244.71/48.76  | | 
% 244.71/48.76  | End of split
% 244.71/48.76  | 
% 244.71/48.76  End of proof
% 244.71/48.76  
% 244.71/48.76  Sub-proof #494 shows that the following formulas are inconsistent:
% 244.71/48.76  ----------------------------------------------------------------
% 244.71/48.76    (1)  all_24_0 = e23
% 244.71/48.76    (2)   ~ (all_16_15 = e24)
% 244.71/48.76    (3)   ~ (e24 = e20)
% 244.71/48.76    (4)   ~ (e23 = e21)
% 244.71/48.76    (5)  op2(e23, e21) = e24
% 244.71/48.76    (6)  op2(e23, e23) = e21
% 244.71/48.76    (7)  all_24_2 = e22
% 244.71/48.76    (8)   ~ (e23 = e22)
% 244.71/48.76    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.76           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.76    (10)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.71/48.76            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.76            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.76    (11)   ~ (e23 = e20)
% 244.71/48.76    (12)  op2(e24, e23) = e22
% 244.71/48.76    (13)   ~ (e24 = e21)
% 244.71/48.76    (14)   ~ (e22 = e21)
% 244.71/48.76    (15)  op2(e23, e22) = e20
% 244.71/48.76    (16)  all_24_1 = e22
% 244.71/48.76    (17)  all_24_16 = e20
% 244.71/48.76    (18)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.76            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.76            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.76    (19)   ~ (e21 = e20)
% 244.71/48.76    (20)  op2(e24, e21) = all_16_15
% 244.71/48.76    (21)  all_24_9 = e20
% 244.71/48.76    (22)   ~ (e24 = e22)
% 244.71/48.76    (23)  all_24_17 = e23
% 244.71/48.76    (24)   ~ (e24 = e23)
% 244.71/48.76    (25)  op2(e23, e21) = all_10_1
% 244.71/48.76    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.76            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.76            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.76    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.76  
% 244.71/48.76  Begin of proof
% 244.71/48.76  | 
% 244.71/48.76  | BETA: splitting (18) gives:
% 244.71/48.76  | 
% 244.71/48.76  | Case 1:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (28)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.71/48.76  | |             e23) = e24)
% 244.71/48.76  | | 
% 244.71/48.76  | | BETA: splitting (28) gives:
% 244.71/48.76  | | 
% 244.71/48.76  | | Case 1:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (29)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (1), (24), (29) are inconsistent by sub-proof #677.
% 244.71/48.76  | | | 
% 244.71/48.76  | | Case 2:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (30)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (16), (22), (30) are inconsistent by sub-proof #870.
% 244.71/48.76  | | | 
% 244.71/48.76  | | End of split
% 244.71/48.76  | | 
% 244.71/48.76  | Case 2:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (31)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.71/48.76  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.76  | | 
% 244.71/48.76  | | BETA: splitting (31) gives:
% 244.71/48.76  | | 
% 244.71/48.76  | | Case 1:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (32)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.71/48.76  | | | 
% 244.71/48.76  | | | ALPHA: (32) implies:
% 244.71/48.76  | | |   (33)  all_24_4 = e24
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.71/48.76  | | |            (14), (15), (17), (19), (21), (22), (23), (24), (25), (26),
% 244.71/48.76  | | |            (27), (33) are inconsistent by sub-proof #495.
% 244.71/48.76  | | | 
% 244.71/48.76  | | Case 2:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (34)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.71/48.76  | | |           op2(e24, e20) = e24)
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (2), (3), (9), (17), (20), (34) are inconsistent by sub-proof
% 244.71/48.76  | | |            #753.
% 244.71/48.76  | | | 
% 244.71/48.76  | | End of split
% 244.71/48.76  | | 
% 244.71/48.76  | End of split
% 244.71/48.76  | 
% 244.71/48.76  End of proof
% 244.71/48.76  
% 244.71/48.76  Sub-proof #495 shows that the following formulas are inconsistent:
% 244.71/48.76  ----------------------------------------------------------------
% 244.71/48.76    (1)  all_24_0 = e23
% 244.71/48.76    (2)   ~ (e23 = e21)
% 244.71/48.76    (3)  op2(e23, e21) = e24
% 244.71/48.76    (4)  op2(e23, e23) = e21
% 244.71/48.76    (5)  all_24_2 = e22
% 244.71/48.76    (6)   ~ (e23 = e22)
% 244.71/48.76    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.76           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.76    (8)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.71/48.76           = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.76           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.76    (9)   ~ (e23 = e20)
% 244.71/48.76    (10)  op2(e24, e23) = e22
% 244.71/48.76    (11)   ~ (e24 = e21)
% 244.71/48.76    (12)   ~ (e22 = e21)
% 244.71/48.76    (13)  op2(e23, e22) = e20
% 244.71/48.76    (14)  all_24_16 = e20
% 244.71/48.76    (15)   ~ (e21 = e20)
% 244.71/48.76    (16)  all_24_9 = e20
% 244.71/48.76    (17)   ~ (e24 = e22)
% 244.71/48.76    (18)  all_24_17 = e23
% 244.71/48.76    (19)   ~ (e24 = e23)
% 244.71/48.76    (20)  op2(e23, e21) = all_10_1
% 244.71/48.76    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.76            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.76            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.76    (22)  all_24_4 = e24
% 244.71/48.76    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.76            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.76            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.76  
% 244.71/48.76  Begin of proof
% 244.71/48.76  | 
% 244.71/48.76  | BETA: splitting (8) gives:
% 244.71/48.76  | 
% 244.71/48.76  | Case 1:
% 244.71/48.76  | | 
% 244.71/48.76  | |   (24)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 244.71/48.76  | |             e23) = e21)
% 244.71/48.76  | | 
% 244.71/48.76  | | BETA: splitting (24) gives:
% 244.71/48.76  | | 
% 244.71/48.76  | | Case 1:
% 244.71/48.76  | | | 
% 244.71/48.76  | | |   (25)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.71/48.76  | | | 
% 244.71/48.76  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (13), (17), (18),
% 244.71/48.77  | | |            (19), (20), (21), (23), (25) are inconsistent by sub-proof
% 244.71/48.77  | | |            #675.
% 244.71/48.77  | | | 
% 244.71/48.77  | | Case 2:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (26)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (7), (10), (12), (26) are inconsistent by sub-proof #866.
% 244.71/48.77  | | | 
% 244.71/48.77  | | End of split
% 244.71/48.77  | | 
% 244.71/48.77  | Case 2:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 244.71/48.77  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.77  | | 
% 244.71/48.77  | | BETA: splitting (27) gives:
% 244.71/48.77  | | 
% 244.71/48.77  | | Case 1:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (28)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (11), (22), (28) are inconsistent by sub-proof #759.
% 244.71/48.77  | | | 
% 244.71/48.77  | | Case 2:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (29)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 244.71/48.77  | | |           op2(e24, e20) = e21)
% 244.71/48.77  | | | 
% 244.71/48.77  | | | BETA: splitting (29) gives:
% 244.71/48.77  | | | 
% 244.71/48.77  | | | Case 1:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (30)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | ALPHA: (30) implies:
% 244.71/48.77  | | | |   (31)  all_24_9 = e21
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | REF_CLOSE: (15), (16), (31) are inconsistent by sub-proof #674.
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | Case 2:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (32)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | REF_CLOSE: (14), (15), (32) are inconsistent by sub-proof #497.
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | End of split
% 244.71/48.77  | | | 
% 244.71/48.77  | | End of split
% 244.71/48.77  | | 
% 244.71/48.77  | End of split
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #496 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_0 = e23
% 244.71/48.77    (2)   ~ (all_16_15 = e24)
% 244.71/48.77    (3)   ~ (e24 = e20)
% 244.71/48.77    (4)   ~ (e23 = e21)
% 244.71/48.77    (5)  op2(e23, e21) = e24
% 244.71/48.77    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.71/48.77           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.71/48.77           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.71/48.77    (7)  op2(e23, e23) = e21
% 244.71/48.77    (8)  all_24_2 = e22
% 244.71/48.77    (9)   ~ (e23 = e22)
% 244.71/48.77    (10)   ~ (e22 = e20)
% 244.71/48.77    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.77            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.77    (12)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.71/48.77            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.77            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.71/48.77    (13)   ~ (e23 = e20)
% 244.71/48.77    (14)  op2(e24, e23) = e22
% 244.71/48.77    (15)   ~ (e24 = e21)
% 244.71/48.77    (16)   ~ (e22 = e21)
% 244.71/48.77    (17)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.71/48.77            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.71/48.77            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.71/48.77    (18)  op2(e23, e22) = e20
% 244.71/48.77    (19)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.71/48.77              e21) = e22)
% 244.71/48.77    (20)  all_24_1 = e22
% 244.71/48.77    (21)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.77            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.77            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.77    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.71/48.77            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.71/48.77            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.71/48.77    (23)   ~ (e21 = e20)
% 244.71/48.77    (24)  op2(e24, e21) = all_16_15
% 244.71/48.77    (25)   ~ (e24 = e22)
% 244.71/48.77    (26)  all_24_17 = e23
% 244.71/48.77    (27)   ~ (e24 = e23)
% 244.71/48.77    (28)  op2(e23, e21) = all_10_1
% 244.71/48.77    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.77            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.77            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.77    (30)  all_24_5 = e20
% 244.71/48.77    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.77            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.77            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | BETA: splitting (19) gives:
% 244.71/48.77  | 
% 244.71/48.77  | Case 1:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (32)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.71/48.77  | | 
% 244.71/48.77  | | ALPHA: (32) implies:
% 244.71/48.77  | |   (33)  all_24_9 = e22
% 244.71/48.77  | | 
% 244.71/48.77  | | BETA: splitting (17) gives:
% 244.71/48.77  | | 
% 244.71/48.77  | | Case 1:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (34)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 244.71/48.77  | | |           op2(e24, e23) = e20)
% 244.71/48.77  | | | 
% 244.71/48.77  | | | BETA: splitting (34) gives:
% 244.71/48.77  | | | 
% 244.71/48.77  | | | Case 1:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (35)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (13), (15),
% 244.71/48.77  | | | |            (16), (18), (23), (25), (26), (27), (28), (29), (31), (35)
% 244.71/48.77  | | | |            are inconsistent by sub-proof #676.
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | Case 2:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (36)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | REF_CLOSE: (10), (11), (14), (36) are inconsistent by sub-proof #911.
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | End of split
% 244.71/48.77  | | | 
% 244.71/48.77  | | Case 2:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (37)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.71/48.77  | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.71/48.77  | | | 
% 244.71/48.77  | | | BETA: splitting (37) gives:
% 244.71/48.77  | | | 
% 244.71/48.77  | | | Case 1:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (38)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | ALPHA: (38) implies:
% 244.71/48.77  | | | |   (39)  all_24_4 = e20
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | BETA: splitting (12) gives:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | Case 1:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (40)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 &
% 244.71/48.77  | | | | |           op2(e24, e23) = e21)
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | BETA: splitting (40) gives:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | Case 1:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (41)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | REF_CLOSE: (1), (4), (5), (7), (8), (9), (11), (13), (15), (18),
% 244.71/48.77  | | | | | |            (25), (26), (27), (28), (29), (31), (41) are inconsistent
% 244.71/48.77  | | | | | |            by sub-proof #675.
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | Case 2:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (42)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | REF_CLOSE: (11), (14), (16), (42) are inconsistent by sub-proof
% 244.71/48.77  | | | | | |            #866.
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | End of split
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | Case 2:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (43)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.77  | | | | |           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) =
% 244.71/48.77  | | | | |           e21)
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | BETA: splitting (43) gives:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | Case 1:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (44)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | ALPHA: (44) implies:
% 244.71/48.77  | | | | | |   (45)  all_24_4 = e21
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | COMBINE_EQS: (39), (45) imply:
% 244.71/48.77  | | | | | |   (46)  e21 = e20
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | SIMP: (46) implies:
% 244.71/48.77  | | | | | |   (47)  e21 = e20
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | REDUCE: (23), (47) imply:
% 244.71/48.77  | | | | | |   (48)  $false
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | CLOSE: (48) is inconsistent.
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | Case 2:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (49)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 244.71/48.77  | | | | | |           op2(e24, e20) = e21)
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | BETA: splitting (49) gives:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | Case 1:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (50)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (13), (15),
% 244.71/48.77  | | | | | | |            (16), (18), (22), (25), (27), (28), (29), (30), (31),
% 244.71/48.77  | | | | | | |            (33), (50) are inconsistent by sub-proof #658.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | Case 2:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (51)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | ALPHA: (51) implies:
% 244.71/48.77  | | | | | | |   (52)  all_24_16 = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (1), (2), (3), (11), (15), (20), (21), (24), (25),
% 244.71/48.77  | | | | | | |            (27), (39), (52) are inconsistent by sub-proof #504.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | End of split
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | End of split
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | End of split
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | Case 2:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (53)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 244.71/48.77  | | | |           op2(e24, e20) = e20)
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | BETA: splitting (53) gives:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | Case 1:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (54)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 244.71/48.77  | | | | |            (16), (18), (22), (23), (25), (27), (28), (29), (31), (33),
% 244.71/48.77  | | | | |            (54) are inconsistent by sub-proof #573.
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | Case 2:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (55)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | ALPHA: (55) implies:
% 244.71/48.77  | | | | |   (56)  all_24_16 = e20
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | BETA: splitting (12) gives:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | Case 1:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (57)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 &
% 244.71/48.77  | | | | | |           op2(e24, e23) = e21)
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | BETA: splitting (57) gives:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | Case 1:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (58)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (1), (4), (5), (7), (8), (9), (11), (13), (15), (18),
% 244.71/48.77  | | | | | | |            (25), (26), (27), (28), (29), (31), (58) are
% 244.71/48.77  | | | | | | |            inconsistent by sub-proof #675.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | Case 2:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (59)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (11), (14), (16), (59) are inconsistent by sub-proof
% 244.71/48.77  | | | | | | |            #866.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | End of split
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | Case 2:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (60)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.71/48.77  | | | | | |           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) =
% 244.71/48.77  | | | | | |           e21)
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | BETA: splitting (60) gives:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | Case 1:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (61)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | ALPHA: (61) implies:
% 244.71/48.77  | | | | | | |   (62)  all_24_4 = e21
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (1), (2), (3), (11), (15), (20), (21), (24), (25),
% 244.71/48.77  | | | | | | |            (27), (56), (62) are inconsistent by sub-proof #498.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | Case 2:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (63)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21
% 244.71/48.77  | | | | | | |           & op2(e24, e20) = e21)
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | BETA: splitting (63) gives:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | Case 1:
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | |   (64)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (13), (15),
% 244.71/48.77  | | | | | | | |            (16), (18), (22), (25), (27), (28), (29), (30), (31),
% 244.71/48.77  | | | | | | | |            (33), (64) are inconsistent by sub-proof #658.
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | Case 2:
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | |   (65)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | REF_CLOSE: (23), (56), (65) are inconsistent by sub-proof #497.
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | End of split
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | End of split
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | End of split
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | End of split
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | End of split
% 244.71/48.77  | | | 
% 244.71/48.77  | | End of split
% 244.71/48.77  | | 
% 244.71/48.77  | Case 2:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (66)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.71/48.77  | | 
% 244.71/48.77  | | ALPHA: (66) implies:
% 244.71/48.77  | |   (67)  op2(e23, e21) = e22
% 244.71/48.77  | | 
% 244.71/48.77  | | REF_CLOSE: (5), (11), (25), (28), (67) are inconsistent by sub-proof #963.
% 244.71/48.77  | | 
% 244.71/48.77  | End of split
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #497 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.71/48.77    (2)  all_24_16 = e20
% 244.71/48.77    (3)   ~ (e21 = e20)
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | ALPHA: (1) implies:
% 244.71/48.77  |   (4)  all_24_16 = e21
% 244.71/48.77  | 
% 244.71/48.77  | COMBINE_EQS: (2), (4) imply:
% 244.71/48.77  |   (5)  e21 = e20
% 244.71/48.77  | 
% 244.71/48.77  | SIMP: (5) implies:
% 244.71/48.77  |   (6)  e21 = e20
% 244.71/48.77  | 
% 244.71/48.77  | REDUCE: (3), (6) imply:
% 244.71/48.77  |   (7)  $false
% 244.71/48.77  | 
% 244.71/48.77  | CLOSE: (7) is inconsistent.
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #498 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_0 = e23
% 244.71/48.77    (2)   ~ (all_16_15 = e24)
% 244.71/48.77    (3)   ~ (e24 = e20)
% 244.71/48.77    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.77           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.77    (5)  all_24_4 = e21
% 244.71/48.77    (6)   ~ (e24 = e21)
% 244.71/48.77    (7)  all_24_1 = e22
% 244.71/48.77    (8)  all_24_16 = e20
% 244.71/48.77    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.77           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.77           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.77    (10)  op2(e24, e21) = all_16_15
% 244.71/48.77    (11)   ~ (e24 = e22)
% 244.71/48.77    (12)   ~ (e24 = e23)
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | BETA: splitting (9) gives:
% 244.71/48.77  | 
% 244.71/48.77  | Case 1:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (13)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.71/48.77  | |             e23) = e24)
% 244.71/48.77  | | 
% 244.71/48.77  | | BETA: splitting (13) gives:
% 244.71/48.77  | | 
% 244.71/48.77  | | Case 1:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (14)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (1), (12), (14) are inconsistent by sub-proof #677.
% 244.71/48.77  | | | 
% 244.71/48.77  | | Case 2:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (15)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (7), (11), (15) are inconsistent by sub-proof #870.
% 244.71/48.77  | | | 
% 244.71/48.77  | | End of split
% 244.71/48.77  | | 
% 244.71/48.77  | Case 2:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (16)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.71/48.77  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.77  | | 
% 244.71/48.77  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (10), (16) are inconsistent by
% 244.71/48.77  | |            sub-proof #752.
% 244.71/48.77  | | 
% 244.71/48.77  | End of split
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #499 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.71/48.77    (2)  all_24_8 = e20
% 244.71/48.77    (3)   ~ (e21 = e20)
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | ALPHA: (1) implies:
% 244.71/48.77  |   (4)  all_24_8 = e21
% 244.71/48.77  | 
% 244.71/48.77  | COMBINE_EQS: (2), (4) imply:
% 244.71/48.77  |   (5)  e21 = e20
% 244.71/48.77  | 
% 244.71/48.77  | REDUCE: (3), (5) imply:
% 244.71/48.77  |   (6)  $false
% 244.71/48.77  | 
% 244.71/48.77  | CLOSE: (6) is inconsistent.
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #500 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_7 = e20
% 244.71/48.77    (2)   ~ (e24 = e20)
% 244.71/48.77    (3)   ~ (e23 = e21)
% 244.71/48.77    (4)  op2(e23, e23) = e21
% 244.71/48.77    (5)   ~ (e23 = e22)
% 244.71/48.77    (6)  op2(e21, e23) = all_16_8
% 244.71/48.77    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.77           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.77    (8)  all_24_4 = e21
% 244.71/48.77    (9)   ~ (all_16_7 = e23)
% 244.71/48.77    (10)  op2(e24, e23) = e22
% 244.71/48.77    (11)   ~ (e24 = e21)
% 244.71/48.77    (12)  all_24_13 = e24
% 244.71/48.77    (13)  all_24_1 = e22
% 244.71/48.77    (14)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.77            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.71/48.77            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.71/48.77    (15)   ~ (all_16_8 = e23)
% 244.71/48.77    (16)  op2(e22, e23) = all_16_7
% 244.71/48.77    (17)   ~ (e24 = e22)
% 244.71/48.77    (18)   ~ (e24 = e23)
% 244.71/48.77    (19)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.77            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.71/48.77            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.71/48.77    (20)  all_24_4 = e24
% 244.71/48.77    (21)  all_24_3 = e21
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | COMBINE_EQS: (8), (20) imply:
% 244.71/48.77  |   (22)  e24 = e21
% 244.71/48.77  | 
% 244.71/48.77  | SIMP: (22) implies:
% 244.71/48.77  |   (23)  e24 = e21
% 244.71/48.77  | 
% 244.71/48.77  | COMBINE_EQS: (12), (23) imply:
% 244.71/48.77  |   (24)  all_24_13 = e21
% 244.71/48.77  | 
% 244.71/48.77  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14),
% 244.71/48.77  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 244.71/48.77  |            sub-proof #835.
% 244.71/48.77  | 
% 244.71/48.77  End of proof
% 244.71/48.77  
% 244.71/48.77  Sub-proof #501 shows that the following formulas are inconsistent:
% 244.71/48.77  ----------------------------------------------------------------
% 244.71/48.77    (1)  all_24_0 = e23
% 244.71/48.77    (2)   ~ (all_16_15 = e24)
% 244.71/48.77    (3)   ~ (e24 = e20)
% 244.71/48.77    (4)   ~ (e23 = e21)
% 244.71/48.77    (5)  op2(e23, e21) = e24
% 244.71/48.77    (6)  all_24_14 = e23
% 244.71/48.77    (7)  op2(e23, e23) = e21
% 244.71/48.77    (8)  all_24_2 = e22
% 244.71/48.77    (9)   ~ (e23 = e22)
% 244.71/48.77    (10)   ~ (e22 = e20)
% 244.71/48.77    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.71/48.77            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.71/48.77    (12)   ~ (e23 = e20)
% 244.71/48.77    (13)   ~ (e24 = e21)
% 244.71/48.77    (14)   ~ (e22 = e21)
% 244.71/48.77    (15)  op2(e23, e22) = e20
% 244.71/48.77    (16)  all_24_4 = e20
% 244.71/48.77    (17)  all_24_1 = e22
% 244.71/48.77    (18)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.71/48.77            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.77            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.77    (19)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.71/48.77            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.71/48.77            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.77    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.71/48.77            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.71/48.77            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.71/48.77    (21)   ~ (e21 = e20)
% 244.71/48.77    (22)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.71/48.77            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.71/48.77            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.71/48.77    (23)  op2(e24, e21) = all_16_15
% 244.71/48.77    (24)   ~ (e24 = e22)
% 244.71/48.77    (25)  all_24_17 = e23
% 244.71/48.77    (26)   ~ (e24 = e23)
% 244.71/48.77    (27)  op2(e23, e21) = all_10_1
% 244.71/48.77    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.71/48.77            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.71/48.77            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.71/48.77    (29)  all_24_5 = e20
% 244.71/48.77    (30)  all_24_22 = e22
% 244.71/48.77    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.71/48.77            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.71/48.77            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.71/48.77  
% 244.71/48.77  Begin of proof
% 244.71/48.77  | 
% 244.71/48.77  | BETA: splitting (19) gives:
% 244.71/48.77  | 
% 244.71/48.77  | Case 1:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (32)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.71/48.77  | |             e22) = e24)
% 244.71/48.77  | | 
% 244.71/48.77  | | BETA: splitting (32) gives:
% 244.71/48.77  | | 
% 244.71/48.77  | | Case 1:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (33)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (3), (16), (33) are inconsistent by sub-proof #506.
% 244.71/48.77  | | | 
% 244.71/48.77  | | Case 2:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (34)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | REF_CLOSE: (3), (29), (34) are inconsistent by sub-proof #1322.
% 244.71/48.77  | | | 
% 244.71/48.77  | | End of split
% 244.71/48.77  | | 
% 244.71/48.77  | Case 2:
% 244.71/48.77  | | 
% 244.71/48.77  | |   (35)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 244.71/48.77  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.71/48.77  | | 
% 244.71/48.77  | | BETA: splitting (35) gives:
% 244.71/48.77  | | 
% 244.71/48.77  | | Case 1:
% 244.71/48.77  | | | 
% 244.71/48.77  | | |   (36)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | ALPHA: (36) implies:
% 244.71/48.77  | | |   (37)  all_24_8 = e24
% 244.71/48.77  | | | 
% 244.71/48.77  | | | BETA: splitting (18) gives:
% 244.71/48.77  | | | 
% 244.71/48.77  | | | Case 1:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 244.71/48.77  | | | |           op2(e24, e23) = e24)
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | BETA: splitting (38) gives:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | Case 1:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (39)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | REF_CLOSE: (1), (26), (39) are inconsistent by sub-proof #677.
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | Case 2:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (40)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | REF_CLOSE: (17), (24), (40) are inconsistent by sub-proof #870.
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | End of split
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | Case 2:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | |   (41)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.71/48.77  | | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | BETA: splitting (41) gives:
% 244.71/48.77  | | | | 
% 244.71/48.77  | | | | Case 1:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (42)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | REF_CLOSE: (3), (16), (42) are inconsistent by sub-proof #506.
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | Case 2:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | |   (43)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.71/48.77  | | | | |           op2(e24, e20) = e24)
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | BETA: splitting (43) gives:
% 244.71/48.77  | | | | | 
% 244.71/48.77  | | | | | Case 1:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (44)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | REF_CLOSE: (2), (11), (23), (44) are inconsistent by sub-proof #862.
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | Case 2:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | |   (45)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | ALPHA: (45) implies:
% 244.71/48.77  | | | | | |   (46)  all_24_16 = e24
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | BETA: splitting (22) gives:
% 244.71/48.77  | | | | | | 
% 244.71/48.77  | | | | | | Case 1:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (47)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 244.71/48.77  | | | | | | |           op2(e23, e22) = e21)
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | REF_CLOSE: (11), (15), (16), (21), (47) are inconsistent by
% 244.71/48.77  | | | | | | |            sub-proof #505.
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | Case 2:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | |   (48)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21
% 244.71/48.77  | | | | | | |           & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20,
% 244.71/48.77  | | | | | | |             e22) = e21)
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | BETA: splitting (48) gives:
% 244.71/48.77  | | | | | | | 
% 244.71/48.77  | | | | | | | Case 1:
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | |   (49)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | ALPHA: (49) implies:
% 244.71/48.77  | | | | | | | |   (50)  all_24_8 = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | COMBINE_EQS: (37), (50) imply:
% 244.71/48.77  | | | | | | | |   (51)  e24 = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | COMBINE_EQS: (46), (51) imply:
% 244.71/48.77  | | | | | | | |   (52)  all_24_16 = e21
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | REF_CLOSE: (1), (2), (3), (11), (13), (16), (17), (18), (23),
% 244.71/48.77  | | | | | | | |            (24), (26), (52) are inconsistent by sub-proof #504.
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | Case 2:
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | |   (53)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 =
% 244.71/48.77  | | | | | | | |           e21 & op2(e20, e22) = e21)
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | BETA: splitting (53) gives:
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | | Case 1:
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | |   (54)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 244.71/48.77  | | | | | | | | |            (15), (24), (25), (26), (27), (28), (31), (54) are
% 244.71/48.77  | | | | | | | | |            inconsistent by sub-proof #503.
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | Case 2:
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | |   (55)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (12),
% 244.71/48.77  | | | | | | | | |            (13), (14), (15), (20), (24), (26), (27), (28),
% 244.71/48.77  | | | | | | | | |            (29), (30), (31), (55) are inconsistent by
% 244.71/48.77  | | | | | | | | |            sub-proof #849.
% 244.71/48.77  | | | | | | | | | 
% 244.71/48.77  | | | | | | | | End of split
% 244.71/48.77  | | | | | | | | 
% 244.71/48.77  | | | | | | | End of split
% 244.71/48.77  | | | | | | | 
% 244.75/48.77  | | | | | | End of split
% 244.75/48.77  | | | | | | 
% 244.75/48.77  | | | | | End of split
% 244.75/48.77  | | | | | 
% 244.75/48.77  | | | | End of split
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | End of split
% 244.75/48.77  | | | 
% 244.75/48.77  | | Case 2:
% 244.75/48.77  | | | 
% 244.75/48.77  | | |   (56)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 244.75/48.77  | | |           op2(e20, e22) = e24)
% 244.75/48.77  | | | 
% 244.75/48.77  | | | BETA: splitting (56) gives:
% 244.75/48.77  | | | 
% 244.75/48.77  | | | Case 1:
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | |   (57)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | | REF_CLOSE: (6), (26), (57) are inconsistent by sub-proof #502.
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | Case 2:
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | |   (58)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | | REF_CLOSE: (24), (30), (58) are inconsistent by sub-proof #601.
% 244.75/48.77  | | | | 
% 244.75/48.77  | | | End of split
% 244.75/48.77  | | | 
% 244.75/48.77  | | End of split
% 244.75/48.77  | | 
% 244.75/48.77  | End of split
% 244.75/48.77  | 
% 244.75/48.77  End of proof
% 244.75/48.77  
% 244.75/48.77  Sub-proof #502 shows that the following formulas are inconsistent:
% 244.75/48.77  ----------------------------------------------------------------
% 244.75/48.77    (1)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.75/48.77    (2)  all_24_14 = e23
% 244.75/48.77    (3)   ~ (e24 = e23)
% 244.75/48.77  
% 244.75/48.77  Begin of proof
% 244.75/48.77  | 
% 244.75/48.77  | ALPHA: (1) implies:
% 244.75/48.77  |   (4)  all_24_14 = e24
% 244.75/48.77  | 
% 244.75/48.77  | COMBINE_EQS: (2), (4) imply:
% 244.75/48.77  |   (5)  e24 = e23
% 244.75/48.77  | 
% 244.75/48.77  | REDUCE: (3), (5) imply:
% 244.75/48.77  |   (6)  $false
% 244.75/48.77  | 
% 244.75/48.77  | CLOSE: (6) is inconsistent.
% 244.75/48.77  | 
% 244.75/48.77  End of proof
% 244.75/48.77  
% 244.75/48.77  Sub-proof #503 shows that the following formulas are inconsistent:
% 244.75/48.77  ----------------------------------------------------------------
% 244.75/48.77    (1)   ~ (e23 = e21)
% 244.75/48.77    (2)  op2(e23, e21) = e24
% 244.75/48.77    (3)  all_24_14 = e23
% 244.75/48.77    (4)  op2(e23, e23) = e21
% 244.75/48.77    (5)  all_24_2 = e22
% 244.75/48.77    (6)   ~ (e23 = e22)
% 244.75/48.77    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.77           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.77    (8)   ~ (e23 = e20)
% 244.75/48.77    (9)   ~ (e24 = e21)
% 244.75/48.77    (10)  op2(e23, e22) = e20
% 244.75/48.77    (11)   ~ (e24 = e22)
% 244.75/48.77    (12)  all_24_17 = e23
% 244.75/48.77    (13)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.75/48.77    (14)   ~ (e24 = e23)
% 244.75/48.77    (15)  op2(e23, e21) = all_10_1
% 244.75/48.77    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.77            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.77            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.77    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.77            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.77            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.77  
% 244.75/48.77  Begin of proof
% 244.75/48.77  | 
% 244.75/48.77  | ALPHA: (13) implies:
% 244.75/48.77  |   (18)  all_24_14 = e21
% 244.75/48.77  | 
% 244.75/48.77  | COMBINE_EQS: (3), (18) imply:
% 244.75/48.77  |   (19)  e23 = e21
% 244.75/48.77  | 
% 244.75/48.77  | SIMP: (19) implies:
% 244.75/48.77  |   (20)  e23 = e21
% 244.75/48.77  | 
% 244.75/48.77  | COMBINE_EQS: (12), (20) imply:
% 244.75/48.77  |   (21)  all_24_17 = e21
% 244.75/48.77  | 
% 244.75/48.77  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 244.75/48.77  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 244.75/48.77  | 
% 244.75/48.77  End of proof
% 244.75/48.77  
% 244.75/48.77  Sub-proof #504 shows that the following formulas are inconsistent:
% 244.75/48.77  ----------------------------------------------------------------
% 244.75/48.77    (1)  all_24_0 = e23
% 244.75/48.77    (2)   ~ (all_16_15 = e24)
% 244.75/48.77    (3)   ~ (e24 = e20)
% 244.75/48.77    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.77           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.77    (5)   ~ (e24 = e21)
% 244.75/48.77    (6)  all_24_4 = e20
% 244.75/48.77    (7)  all_24_1 = e22
% 244.75/48.77    (8)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.75/48.77           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.75/48.77           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.77    (9)  op2(e24, e21) = all_16_15
% 244.75/48.77    (10)   ~ (e24 = e22)
% 244.75/48.77    (11)   ~ (e24 = e23)
% 244.75/48.77    (12)  all_24_16 = e21
% 244.75/48.77  
% 244.75/48.77  Begin of proof
% 244.75/48.77  | 
% 244.75/48.77  | BETA: splitting (8) gives:
% 244.75/48.77  | 
% 244.75/48.77  | Case 1:
% 244.75/48.77  | | 
% 244.75/48.77  | |   (13)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.75/48.77  | |             e23) = e24)
% 244.75/48.77  | | 
% 244.75/48.77  | | BETA: splitting (13) gives:
% 244.75/48.77  | | 
% 244.75/48.77  | | Case 1:
% 244.75/48.77  | | | 
% 244.75/48.77  | | |   (14)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.75/48.77  | | | 
% 244.75/48.77  | | | REF_CLOSE: (1), (11), (14) are inconsistent by sub-proof #677.
% 244.75/48.77  | | | 
% 244.75/48.77  | | Case 2:
% 244.75/48.77  | | | 
% 244.75/48.77  | | |   (15)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.75/48.77  | | | 
% 244.75/48.77  | | | REF_CLOSE: (7), (10), (15) are inconsistent by sub-proof #870.
% 244.75/48.77  | | | 
% 244.75/48.77  | | End of split
% 244.75/48.77  | | 
% 244.75/48.77  | Case 2:
% 244.75/48.77  | | 
% 244.75/48.77  | |   (16)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.75/48.77  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.77  | | 
% 244.75/48.77  | | BETA: splitting (16) gives:
% 244.75/48.77  | | 
% 244.75/48.77  | | Case 1:
% 244.75/48.77  | | | 
% 244.75/48.77  | | |   (17)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.75/48.77  | | | 
% 244.75/48.77  | | | ALPHA: (17) implies:
% 244.75/48.77  | | |   (18)  all_24_4 = e24
% 244.75/48.77  | | | 
% 244.75/48.77  | | | COMBINE_EQS: (6), (18) imply:
% 244.75/48.77  | | |   (19)  e24 = e20
% 244.75/48.77  | | | 
% 244.75/48.77  | | | SIMP: (19) implies:
% 244.75/48.77  | | |   (20)  e24 = e20
% 244.75/48.77  | | | 
% 244.75/48.77  | | | REDUCE: (3), (20) imply:
% 244.75/48.77  | | |   (21)  $false
% 244.75/48.77  | | | 
% 244.75/48.77  | | | CLOSE: (21) is inconsistent.
% 244.75/48.77  | | | 
% 244.75/48.77  | | Case 2:
% 244.75/48.77  | | | 
% 244.75/48.77  | | |   (22)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.75/48.77  | | |           op2(e24, e20) = e24)
% 244.75/48.77  | | | 
% 244.75/48.77  | | | REF_CLOSE: (2), (4), (5), (9), (12), (22) are inconsistent by sub-proof
% 244.75/48.77  | | |            #860.
% 244.75/48.77  | | | 
% 244.75/48.77  | | End of split
% 244.75/48.77  | | 
% 244.75/48.77  | End of split
% 244.75/48.77  | 
% 244.75/48.77  End of proof
% 244.75/48.77  
% 244.75/48.77  Sub-proof #505 shows that the following formulas are inconsistent:
% 244.75/48.77  ----------------------------------------------------------------
% 244.75/48.77    (1)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.75/48.77           = e21)
% 244.75/48.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.77           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.77    (3)  op2(e23, e22) = e20
% 244.75/48.77    (4)  all_24_4 = e20
% 244.75/48.77    (5)   ~ (e21 = e20)
% 244.75/48.77  
% 244.75/48.77  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (1) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (6)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.75/48.78  | | 
% 244.75/48.78  | | ALPHA: (6) implies:
% 244.75/48.78  | |   (7)  all_24_4 = e21
% 244.75/48.78  | | 
% 244.75/48.78  | | COMBINE_EQS: (4), (7) imply:
% 244.75/48.78  | |   (8)  e21 = e20
% 244.75/48.78  | | 
% 244.75/48.78  | | REDUCE: (5), (8) imply:
% 244.75/48.78  | |   (9)  $false
% 244.75/48.78  | | 
% 244.75/48.78  | | CLOSE: (9) is inconsistent.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (10)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1318.
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #506 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.75/48.78    (2)  all_24_4 = e20
% 244.75/48.78    (3)   ~ (e24 = e20)
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | ALPHA: (1) implies:
% 244.75/48.78  |   (4)  all_24_4 = e24
% 244.75/48.78  | 
% 244.75/48.78  | COMBINE_EQS: (2), (4) imply:
% 244.75/48.78  |   (5)  e24 = e20
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (3), (5) imply:
% 244.75/48.78  |   (6)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (6) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #507 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  all_24_20 = e24
% 244.75/48.78    (2)  all_24_0 = e23
% 244.75/48.78    (3)   ~ (e24 = e20)
% 244.75/48.78    (4)   ~ (e23 = e21)
% 244.75/48.78    (5)  op2(e23, e21) = e24
% 244.75/48.78    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.78           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.78           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.78    (7)  all_24_14 = e23
% 244.75/48.78    (8)  op2(e23, e23) = e21
% 244.75/48.78    (9)  all_24_2 = e22
% 244.75/48.78    (10)   ~ (e23 = e22)
% 244.75/48.78    (11)   ~ (e22 = e20)
% 244.75/48.78    (12)  all_24_6 = e21
% 244.75/48.78    (13)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.75/48.78            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.75/48.78            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.75/48.78    (14)   ~ (all_6_2 = e24)
% 244.75/48.78    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (16)   ~ (e23 = e20)
% 244.75/48.78    (17)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.75/48.78            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.75/48.78            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.78    (18)   ~ (e24 = e21)
% 244.75/48.78    (19)   ~ (e22 = e21)
% 244.75/48.78    (20)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 & op2(e21,
% 244.75/48.78              e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.75/48.78    (21)  op2(e23, e22) = e20
% 244.75/48.78    (22)  op2(e21, e21) = all_6_2
% 244.75/48.78    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.78            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.78            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.78    (24)   ~ (e21 = e20)
% 244.75/48.78    (25)   ~ (e24 = e22)
% 244.75/48.78    (26)  all_24_17 = e23
% 244.75/48.78    (27)   ~ (e24 = e23)
% 244.75/48.78    (28)  op2(e23, e21) = all_10_1
% 244.75/48.78    (29)  all_24_19 = e21
% 244.75/48.78    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.78            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.78            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.78    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.78            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.78            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (20) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (32)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (7), (27), (32) are inconsistent by sub-proof #709.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (33)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 &
% 244.75/48.78  | |           op2(e21, e20) = e24)
% 244.75/48.78  | | 
% 244.75/48.78  | | BETA: splitting (33) gives:
% 244.75/48.78  | | 
% 244.75/48.78  | | Case 1:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (34)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.75/48.78  | | | 
% 244.75/48.78  | | | REF_CLOSE: (14), (15), (22), (34) are inconsistent by sub-proof #738.
% 244.75/48.78  | | | 
% 244.75/48.78  | | Case 2:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (35)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.75/48.78  | | | 
% 244.75/48.78  | | | ALPHA: (35) implies:
% 244.75/48.78  | | |   (36)  all_24_19 = e24
% 244.75/48.78  | | | 
% 244.75/48.78  | | | COMBINE_EQS: (29), (36) imply:
% 244.75/48.78  | | |   (37)  e24 = e21
% 244.75/48.78  | | | 
% 244.75/48.78  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 244.75/48.78  | | |            (15), (16), (17), (18), (19), (21), (23), (24), (25), (26),
% 244.75/48.78  | | |            (27), (28), (30), (31), (37) are inconsistent by sub-proof
% 244.75/48.78  | | |            #526.
% 244.75/48.78  | | | 
% 244.75/48.78  | | End of split
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #508 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e24, e22) = all_16_10
% 244.75/48.78    (2)  op2(e23, unit2) = e23
% 244.75/48.78    (3)   ~ (unit2 = e23)
% 244.75/48.78    (4)   ~ (all_22_58 = all_22_59)
% 244.75/48.78    (5)  op2(e23, e21) = e24
% 244.75/48.78    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (7)  op2(unit2, e20) = e20
% 244.75/48.78    (8)   ~ (e23 = e20)
% 244.75/48.78    (9)   ~ (all_16_10 = e22)
% 244.75/48.78    (10)  op2(e24, unit2) = e24
% 244.75/48.78    (11)  op2(e23, e22) = e20
% 244.75/48.78    (12)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.78    (13)  op2(e21, e20) = all_22_59
% 244.75/48.78    (14)  op2(unit2, e22) = e22
% 244.75/48.78    (15)   ~ (e24 = e23)
% 244.75/48.78    (16)  op2(e20, e21) = all_22_58
% 244.75/48.78    (17)  op2(e23, e21) = all_10_1
% 244.75/48.78    (18)  op2(e21, unit2) = e21
% 244.75/48.78    (19)  op2(unit2, e21) = e21
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (12) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (20)  unit2 = e24
% 244.75/48.78  | | 
% 244.75/48.78  | | REDUCE: (7), (20) imply:
% 244.75/48.78  | |   (21)  op2(e24, e20) = e20
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (1), (2), (5), (6), (8), (9), (10), (11), (12), (14), (15), (17),
% 244.75/48.78  | |            (21) are inconsistent by sub-proof #509.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (22)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.78  | | 
% 244.75/48.78  | | BETA: splitting (22) gives:
% 244.75/48.78  | | 
% 244.75/48.78  | | Case 1:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (23)  unit2 = e22
% 244.75/48.78  | | | 
% 244.75/48.78  | | | REDUCE: (2), (23) imply:
% 244.75/48.78  | | |   (24)  op2(e23, e22) = e23
% 244.75/48.78  | | | 
% 244.75/48.78  | | | REF_CLOSE: (6), (8), (11), (24) are inconsistent by sub-proof #1326.
% 244.75/48.78  | | | 
% 244.75/48.78  | | Case 2:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (25)  unit2 = e21 | unit2 = e20
% 244.75/48.78  | | | 
% 244.75/48.78  | | | BETA: splitting (25) gives:
% 244.75/48.78  | | | 
% 244.75/48.78  | | | Case 1:
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | |   (26)  unit2 = e21
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REDUCE: (2), (26) imply:
% 244.75/48.78  | | | |   (27)  op2(e23, e21) = e23
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REF_CLOSE: (5), (6), (15), (17), (27) are inconsistent by sub-proof
% 244.75/48.78  | | | |            #957.
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | Case 2:
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | |   (28)  unit2 = e20
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REDUCE: (19), (28) imply:
% 244.75/48.78  | | | |   (29)  op2(e20, e21) = e21
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REDUCE: (18), (28) imply:
% 244.75/48.78  | | | |   (30)  op2(e21, e20) = e21
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REF_CLOSE: (4), (6), (13), (16), (29), (30) are inconsistent by
% 244.75/48.78  | | | |            sub-proof #608.
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | End of split
% 244.75/48.78  | | | 
% 244.75/48.78  | | End of split
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #509 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e24, e22) = all_16_10
% 244.75/48.78    (2)  op2(e23, unit2) = e23
% 244.75/48.78    (3)  op2(e23, e21) = e24
% 244.75/48.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (5)   ~ (e23 = e20)
% 244.75/48.78    (6)   ~ (all_16_10 = e22)
% 244.75/48.78    (7)  op2(e24, unit2) = e24
% 244.75/48.78    (8)  op2(e23, e22) = e20
% 244.75/48.78    (9)  op2(e24, e20) = e20
% 244.75/48.78    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.78    (11)  op2(unit2, e22) = e22
% 244.75/48.78    (12)   ~ (e24 = e23)
% 244.75/48.78    (13)  op2(e23, e21) = all_10_1
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (10) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (14)  unit2 = e24
% 244.75/48.78  | | 
% 244.75/48.78  | | REDUCE: (11), (14) imply:
% 244.75/48.78  | |   (15)  op2(e24, e22) = e22
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (1), (4), (6), (15) are inconsistent by sub-proof #774.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (16)   ~ (unit2 = e24)
% 244.75/48.78  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (12), (13), (16), (17) are
% 244.75/48.78  | |            inconsistent by sub-proof #886.
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #510 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e21, e22) = all_22_40
% 244.75/48.78    (2)  op2(e22, e21) = e23
% 244.75/48.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (4)  op2(e21, e22) = e23
% 244.75/48.78    (5)   ~ (all_22_40 = all_22_41)
% 244.75/48.78    (6)  op2(e22, e21) = all_22_41
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e23, all_22_40, e22, e21, simplifying with
% 244.75/48.78  |              (1), (4) gives:
% 244.75/48.78  |   (7)  all_22_40 = e23
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e23, all_22_41, e21, e22, simplifying with
% 244.75/48.78  |              (2), (6) gives:
% 244.75/48.78  |   (8)  all_22_41 = e23
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (5), (7), (8) imply:
% 244.75/48.78  |   (9)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (9) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #511 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e23, e20) = e23
% 244.75/48.78    (2)  op2(e20, e23) = e23
% 244.75/48.78    (3)  op2(e21, e23) = e24
% 244.75/48.78    (4)  op2(e23, e21) = e24
% 244.75/48.78    (5)  op2(e22, e24) = e21
% 244.75/48.78    (6)  op2(e24, e22) = e21
% 244.75/48.78    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (8)  op2(e23, e22) = e20
% 244.75/48.78    (9)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~ (all_22_24 = all_22_25) &
% 244.75/48.78           op2(all_22_25, e23) = all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.75/48.78             e22) = all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_12) &
% 244.75/48.78           $i(all_22_24) & $i(all_22_25)) | (all_22_15 = e23 &  ~ (all_22_14 =
% 244.75/48.78             e21) &  ~ (all_22_36 = all_22_37) & op2(all_22_37, e23) = all_22_14 &
% 244.75/48.78           op2(all_22_37, e21) = e23 & op2(e23, e21) = all_22_37 & op2(e21, e23) =
% 244.75/48.78           all_22_36 & $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) | (all_22_17
% 244.75/48.78           = e23 &  ~ (all_22_16 = e20) &  ~ (all_22_50 = all_22_51) &
% 244.75/48.78           op2(all_22_51, e23) = all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.75/48.78             e20) = all_22_51 & op2(e20, e23) = all_22_50 & $i(all_22_16) &
% 244.75/48.78           $i(all_22_50) & $i(all_22_51)) | (all_22_19 = e22 &  ~ (all_22_18 =
% 244.75/48.78             e24) &  ~ (all_22_20 = all_22_21) & op2(all_22_20, e24) = e22 &
% 244.75/48.78           op2(all_22_20, e22) = all_22_18 & op2(e24, e22) = all_22_21 & op2(e22,
% 244.75/48.78             e24) = all_22_20 & $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.75/48.78         (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~ (all_22_24 = all_22_25) &
% 244.75/48.78           op2(all_22_24, e23) = e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.75/48.78             e22) = all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_22) &
% 244.75/48.78           $i(all_22_24) & $i(all_22_25))
% 244.75/48.78    (10)  op2(e22, e23) = e20
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (9) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (11)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~ (all_22_24 = all_22_25)
% 244.75/48.78  | |           & op2(all_22_25, e23) = all_22_12 & op2(all_22_25, e22) = e23 &
% 244.75/48.78  | |           op2(e23, e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.75/48.78  | |           $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) | (all_22_15 = e23
% 244.75/48.78  | |           &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.75/48.78  | |           op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 &
% 244.75/48.78  | |           op2(e23, e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.75/48.78  | |           $i(all_22_14) & $i(all_22_36) & $i(all_22_37))
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (3), (4), (7), (8), (10), (11) are inconsistent by sub-proof
% 244.75/48.78  | |            #512.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (12)  (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~ (all_22_50 = all_22_51)
% 244.75/48.78  | |           & op2(all_22_51, e23) = all_22_16 & op2(all_22_51, e20) = e23 &
% 244.75/48.78  | |           op2(e23, e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.75/48.78  | |           $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) | (all_22_19 = e22
% 244.75/48.78  | |           &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.75/48.78  | |           op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 &
% 244.75/48.78  | |           op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.75/48.78  | |           $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22
% 244.75/48.78  | |           &  ~ (all_22_22 = e23) &  ~ (all_22_24 = all_22_25) &
% 244.75/48.78  | |           op2(all_22_24, e23) = e22 & op2(all_22_24, e22) = all_22_22 &
% 244.75/48.78  | |           op2(e23, e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.75/48.78  | |           $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.75/48.78  | | 
% 244.75/48.78  | | BETA: splitting (12) gives:
% 244.75/48.78  | | 
% 244.75/48.78  | | Case 1:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (13)  all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~ (all_22_50 =
% 244.75/48.78  | | |           all_22_51) & op2(all_22_51, e23) = all_22_16 & op2(all_22_51,
% 244.75/48.78  | | |           e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20, e23) =
% 244.75/48.78  | | |         all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)
% 244.75/48.78  | | | 
% 244.75/48.78  | | | ALPHA: (13) implies:
% 244.75/48.78  | | |   (14)   ~ (all_22_50 = all_22_51)
% 244.75/48.78  | | |   (15)  op2(e20, e23) = all_22_50
% 244.75/48.78  | | |   (16)  op2(e23, e20) = all_22_51
% 244.75/48.78  | | | 
% 244.75/48.78  | | | REF_CLOSE: (1), (2), (7), (14), (15), (16) are inconsistent by sub-proof
% 244.75/48.78  | | |            #610.
% 244.75/48.78  | | | 
% 244.75/48.78  | | Case 2:
% 244.75/48.78  | | | 
% 244.75/48.78  | | |   (17)  (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 =
% 244.75/48.78  | | |             all_22_21) & op2(all_22_20, e24) = e22 & op2(all_22_20, e22) =
% 244.75/48.78  | | |           all_22_18 & op2(e24, e22) = all_22_21 & op2(e22, e24) =
% 244.75/48.78  | | |           all_22_20 & $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.75/48.78  | | |         (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~ (all_22_24 =
% 244.75/48.78  | | |             all_22_25) & op2(all_22_24, e23) = e22 & op2(all_22_24, e22) =
% 244.75/48.78  | | |           all_22_22 & op2(e23, e22) = all_22_25 & op2(e22, e23) =
% 244.75/48.78  | | |           all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.75/48.78  | | | 
% 244.75/48.78  | | | BETA: splitting (17) gives:
% 244.75/48.78  | | | 
% 244.75/48.78  | | | Case 1:
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | |   (18)  all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 =
% 244.75/48.78  | | | |           all_22_21) & op2(all_22_20, e24) = e22 & op2(all_22_20, e22) =
% 244.75/48.78  | | | |         all_22_18 & op2(e24, e22) = all_22_21 & op2(e22, e24) =
% 244.75/48.78  | | | |         all_22_20 & $i(all_22_18) & $i(all_22_20) & $i(all_22_21)
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | ALPHA: (18) implies:
% 244.75/48.78  | | | |   (19)   ~ (all_22_20 = all_22_21)
% 244.75/48.78  | | | |   (20)  op2(e22, e24) = all_22_20
% 244.75/48.78  | | | |   (21)  op2(e24, e22) = all_22_21
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REF_CLOSE: (5), (6), (7), (19), (20), (21) are inconsistent by sub-proof
% 244.75/48.78  | | | |            #517.
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | Case 2:
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | |   (22)  all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~ (all_22_24 =
% 244.75/48.78  | | | |           all_22_25) & op2(all_22_24, e23) = e22 & op2(all_22_24, e22) =
% 244.75/48.78  | | | |         all_22_22 & op2(e23, e22) = all_22_25 & op2(e22, e23) =
% 244.75/48.78  | | | |         all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | ALPHA: (22) implies:
% 244.75/48.78  | | | |   (23)   ~ (all_22_24 = all_22_25)
% 244.75/48.78  | | | |   (24)  op2(e22, e23) = all_22_24
% 244.75/48.78  | | | |   (25)  op2(e23, e22) = all_22_25
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | | REF_CLOSE: (7), (8), (10), (23), (24), (25) are inconsistent by
% 244.75/48.78  | | | |            sub-proof #514.
% 244.75/48.78  | | | | 
% 244.75/48.78  | | | End of split
% 244.75/48.78  | | | 
% 244.75/48.78  | | End of split
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #512 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e21, e23) = e24
% 244.75/48.78    (2)  op2(e23, e21) = e24
% 244.75/48.78    (3)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~ (all_22_24 = all_22_25) &
% 244.75/48.78           op2(all_22_25, e23) = all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.75/48.78             e22) = all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_12) &
% 244.75/48.78           $i(all_22_24) & $i(all_22_25)) | (all_22_15 = e23 &  ~ (all_22_14 =
% 244.75/48.78             e21) &  ~ (all_22_36 = all_22_37) & op2(all_22_37, e23) = all_22_14 &
% 244.75/48.78           op2(all_22_37, e21) = e23 & op2(e23, e21) = all_22_37 & op2(e21, e23) =
% 244.75/48.78           all_22_36 & $i(all_22_14) & $i(all_22_36) & $i(all_22_37))
% 244.75/48.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (5)  op2(e23, e22) = e20
% 244.75/48.78    (6)  op2(e22, e23) = e20
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (3) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (7)  all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~ (all_22_24 = all_22_25) &
% 244.75/48.78  | |        op2(all_22_25, e23) = all_22_12 & op2(all_22_25, e22) = e23 &
% 244.75/48.78  | |        op2(e23, e22) = all_22_25 & op2(e22, e23) = all_22_24 & $i(all_22_12)
% 244.75/48.78  | |        & $i(all_22_24) & $i(all_22_25)
% 244.75/48.78  | | 
% 244.75/48.78  | | ALPHA: (7) implies:
% 244.75/48.78  | |   (8)   ~ (all_22_24 = all_22_25)
% 244.75/48.78  | |   (9)  op2(e22, e23) = all_22_24
% 244.75/48.78  | |   (10)  op2(e23, e22) = all_22_25
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (4), (5), (6), (8), (9), (10) are inconsistent by sub-proof #514.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (11)  all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37)
% 244.75/48.78  | |         & op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 &
% 244.75/48.78  | |         op2(e23, e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.75/48.78  | |         $i(all_22_14) & $i(all_22_36) & $i(all_22_37)
% 244.75/48.78  | | 
% 244.75/48.78  | | ALPHA: (11) implies:
% 244.75/48.78  | |   (12)   ~ (all_22_36 = all_22_37)
% 244.75/48.78  | |   (13)  op2(e21, e23) = all_22_36
% 244.75/48.78  | |   (14)  op2(e23, e21) = all_22_37
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (1), (2), (4), (12), (13), (14) are inconsistent by sub-proof
% 244.75/48.78  | |            #513.
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #513 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e21, e23) = e24
% 244.75/48.78    (2)   ~ (all_22_36 = all_22_37)
% 244.75/48.78    (3)  op2(e23, e21) = e24
% 244.75/48.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (5)  op2(e21, e23) = all_22_36
% 244.75/48.78    (6)  op2(e23, e21) = all_22_37
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (4) with e24, all_22_36, e23, e21, simplifying with
% 244.75/48.78  |              (1), (5) gives:
% 244.75/48.78  |   (7)  all_22_36 = e24
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (4) with e24, all_22_37, e21, e23, simplifying with
% 244.75/48.78  |              (3), (6) gives:
% 244.75/48.78  |   (8)  all_22_37 = e24
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (2), (7), (8) imply:
% 244.75/48.78  |   (9)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (9) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #514 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e22, e23) = all_22_24
% 244.75/48.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (3)   ~ (all_22_24 = all_22_25)
% 244.75/48.78    (4)  op2(e23, e22) = e20
% 244.75/48.78    (5)  op2(e22, e23) = e20
% 244.75/48.78    (6)  op2(e23, e22) = all_22_25
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (2) with e20, all_22_24, e23, e22, simplifying with
% 244.75/48.78  |              (1), (5) gives:
% 244.75/48.78  |   (7)  all_22_24 = e20
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (2) with e20, all_22_25, e22, e23, simplifying with
% 244.75/48.78  |              (4), (6) gives:
% 244.75/48.78  |   (8)  all_22_25 = e20
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (3), (7), (8) imply:
% 244.75/48.78  |   (9)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (9) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #515 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e21, e24) = all_22_32
% 244.75/48.78    (2)   ~ (all_22_32 = all_22_33)
% 244.75/48.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (4)  op2(e21, e24) = e20
% 244.75/48.78    (5)  op2(e24, e21) = e20
% 244.75/48.78    (6)  op2(e24, e21) = all_22_33
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e20, all_22_32, e24, e21, simplifying with
% 244.75/48.78  |              (1), (4) gives:
% 244.75/48.78  |   (7)  all_22_32 = e20
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e20, all_22_33, e21, e24, simplifying with
% 244.75/48.78  |              (5), (6) gives:
% 244.75/48.78  |   (8)  all_22_33 = e20
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (2), (7), (8) imply:
% 244.75/48.78  |   (9)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (9) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #516 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e22, e24) = e21
% 244.75/48.78    (2)  op2(e24, e22) = e21
% 244.75/48.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (4)  op2(e23, e24) = e22
% 244.75/48.78    (5)  op2(e24, e23) = e22
% 244.75/48.78    (6)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.75/48.78           op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.75/48.78             e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.75/48.78           $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 244.75/48.78           &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 244.75/48.78           op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24) =
% 244.75/48.78           all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | BETA: splitting (6) gives:
% 244.75/48.78  | 
% 244.75/48.78  | Case 1:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (7)  all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.75/48.78  | |        op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.75/48.78  | |          e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.75/48.78  | |        $i(all_22_10) & $i(all_22_11)
% 244.75/48.78  | | 
% 244.75/48.78  | | ALPHA: (7) implies:
% 244.75/48.78  | |   (8)   ~ (all_22_10 = all_22_11)
% 244.75/48.78  | |   (9)  op2(e23, e24) = all_22_10
% 244.75/48.78  | |   (10)  op2(e24, e23) = all_22_11
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (3), (4), (5), (8), (9), (10) are inconsistent by sub-proof #615.
% 244.75/48.78  | | 
% 244.75/48.78  | Case 2:
% 244.75/48.78  | | 
% 244.75/48.78  | |   (11)  all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~ (all_22_20 = all_22_21) &
% 244.75/48.78  | |         op2(all_22_21, e24) = all_22_2 & op2(all_22_21, e22) = e24 &
% 244.75/48.78  | |         op2(e24, e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_2)
% 244.75/48.78  | |         & $i(all_22_20) & $i(all_22_21)
% 244.75/48.78  | | 
% 244.75/48.78  | | ALPHA: (11) implies:
% 244.75/48.78  | |   (12)   ~ (all_22_20 = all_22_21)
% 244.75/48.78  | |   (13)  op2(e22, e24) = all_22_20
% 244.75/48.78  | |   (14)  op2(e24, e22) = all_22_21
% 244.75/48.78  | | 
% 244.75/48.78  | | REF_CLOSE: (1), (2), (3), (12), (13), (14) are inconsistent by sub-proof
% 244.75/48.78  | |            #517.
% 244.75/48.78  | | 
% 244.75/48.78  | End of split
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #517 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e22, e24) = e21
% 244.75/48.78    (2)  op2(e24, e22) = e21
% 244.75/48.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (4)  op2(e24, e22) = all_22_21
% 244.75/48.78    (5)  op2(e22, e24) = all_22_20
% 244.75/48.78    (6)   ~ (all_22_20 = all_22_21)
% 244.75/48.78  
% 244.75/48.78  Begin of proof
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e21, all_22_20, e24, e22, simplifying with
% 244.75/48.78  |              (1), (5) gives:
% 244.75/48.78  |   (7)  all_22_20 = e21
% 244.75/48.78  | 
% 244.75/48.78  | GROUND_INST: instantiating (3) with e21, all_22_21, e22, e24, simplifying with
% 244.75/48.78  |              (2), (4) gives:
% 244.75/48.78  |   (8)  all_22_21 = e21
% 244.75/48.78  | 
% 244.75/48.78  | REDUCE: (6), (7), (8) imply:
% 244.75/48.78  |   (9)  $false
% 244.75/48.78  | 
% 244.75/48.78  | CLOSE: (9) is inconsistent.
% 244.75/48.78  | 
% 244.75/48.78  End of proof
% 244.75/48.78  
% 244.75/48.78  Sub-proof #518 shows that the following formulas are inconsistent:
% 244.75/48.78  ----------------------------------------------------------------
% 244.75/48.78    (1)  op2(e22, unit2) = e22
% 244.75/48.78    (2)  op2(e23, unit2) = e23
% 244.75/48.78    (3)   ~ (e24 = e20)
% 244.75/48.78    (4)   ~ (e23 = e21)
% 244.75/48.78    (5)  all_24_11 = e23
% 244.75/48.78    (6)  op2(e23, e21) = e24
% 244.75/48.78    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.78           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.78           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.78    (8)  op2(e23, e23) = e21
% 244.75/48.78    (9)  all_24_2 = e22
% 244.75/48.78    (10)   ~ (e23 = e22)
% 244.75/48.78    (11)   ~ (e22 = e20)
% 244.75/48.78    (12)  op2(e21, e23) = all_16_8
% 244.75/48.78    (13)  all_24_6 = e20
% 244.75/48.78    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.78            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.78    (15)  op2(e23, e24) = e22
% 244.75/48.78    (16)  all_24_21 = e23
% 244.75/48.78    (17)   ~ (e23 = e20)
% 244.75/48.78    (18)   ~ (all_16_7 = e23)
% 244.75/48.78    (19)  op2(e24, e23) = e22
% 244.75/48.78    (20)   ~ (e24 = e21)
% 244.75/48.78    (21)   ~ (e22 = e21)
% 244.75/48.78    (22)  all_24_8 = e22
% 244.75/48.78    (23)  op2(e23, e22) = e20
% 244.75/48.78    (24)  all_24_1 = e22
% 244.75/48.78    (25)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.78    (26)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.78            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.78            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.78    (27)   ~ (all_16_8 = e23)
% 244.75/48.78    (28)  op2(e22, e23) = all_16_7
% 244.75/48.78    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.78            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.78            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.78    (30)   ~ (e21 = e20)
% 244.75/48.78    (31)   ~ (e24 = e22)
% 244.75/48.78    (32)  all_24_17 = e23
% 244.75/48.78    (33)   ~ (e24 = e23)
% 244.75/48.78    (34)  op2(e23, e21) = all_10_1
% 244.75/48.78    (35)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.78            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.78            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.78    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.78            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.78            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (37)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.75/48.79            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 244.75/48.79            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.79    (38)  all_24_5 = e20
% 244.75/48.79    (39)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.79            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.79            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.79    (40)  all_24_3 = e21
% 244.75/48.79    (41)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (37) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (42)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.75/48.79  | |             e23) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 244.75/48.79  | |            (17), (18), (19), (20), (21), (23), (24), (26), (27), (28), (30),
% 244.75/48.79  | |            (31), (32), (33), (34), (35), (36), (39), (40), (41), (42) are
% 244.75/48.79  | |            inconsistent by sub-proof #542.
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (43)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 244.75/48.79  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (14), (15),
% 244.75/48.79  | |            (17), (20), (21), (22), (23), (25), (29), (31), (32), (33), (34),
% 244.75/48.79  | |            (36), (38), (41), (43) are inconsistent by sub-proof #541.
% 244.75/48.79  | | 
% 244.75/48.79  | End of split
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #519 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.75/48.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (3)  op2(e21, e21) = all_6_2
% 244.75/48.79    (4)   ~ (all_6_2 = e20)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | ALPHA: (1) implies:
% 244.75/48.79  |   (5)  op2(e21, e21) = e20
% 244.75/48.79  | 
% 244.75/48.79  | GROUND_INST: instantiating (2) with all_6_2, e20, e21, e21, simplifying with
% 244.75/48.79  |              (3), (5) gives:
% 244.75/48.79  |   (6)  all_6_2 = e20
% 244.75/48.79  | 
% 244.75/48.79  | REDUCE: (4), (6) imply:
% 244.75/48.79  |   (7)  $false
% 244.75/48.79  | 
% 244.75/48.79  | CLOSE: (7) is inconsistent.
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #520 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 & op2(e22, e21)
% 244.75/48.79           = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.75/48.79    (2)  op2(e22, unit2) = e22
% 244.75/48.79    (3)  op2(e23, unit2) = e23
% 244.75/48.79    (4)   ~ (e24 = e20)
% 244.75/48.79    (5)   ~ (e23 = e21)
% 244.75/48.79    (6)  op2(e23, e21) = e24
% 244.75/48.79    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.79    (8)  op2(e23, e23) = e21
% 244.75/48.79    (9)  all_24_2 = e22
% 244.75/48.79    (10)   ~ (e23 = e22)
% 244.75/48.79    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (12)  op2(e23, e24) = e22
% 244.75/48.79    (13)   ~ (e23 = e20)
% 244.75/48.79    (14)   ~ (e24 = e21)
% 244.75/48.79    (15)   ~ (e22 = e21)
% 244.75/48.79    (16)  op2(e23, e22) = e20
% 244.75/48.79    (17)  all_24_8 = e23
% 244.75/48.79    (18)  op2(e21, e20) = e22
% 244.75/48.79    (19)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.79    (20)  op2(e22, e21) = all_16_17
% 244.75/48.79    (21)   ~ (e21 = e20)
% 244.75/48.79    (22)   ~ (e24 = e22)
% 244.75/48.79    (23)   ~ (all_16_17 = e20)
% 244.75/48.79    (24)  all_24_17 = e23
% 244.75/48.79    (25)   ~ (e24 = e23)
% 244.75/48.79    (26)  op2(e23, e21) = all_10_1
% 244.75/48.79    (27)  op2(e21, unit2) = e21
% 244.75/48.79    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (1) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (30)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.75/48.79  | | 
% 244.75/48.79  | | ALPHA: (30) implies:
% 244.75/48.79  | |   (31)  all_24_8 = e20
% 244.75/48.79  | | 
% 244.75/48.79  | | COMBINE_EQS: (17), (31) imply:
% 244.75/48.79  | |   (32)  e23 = e20
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (13), (14), (15), (16),
% 244.75/48.79  | |            (21), (22), (24), (25), (26), (28), (29), (32) are inconsistent
% 244.75/48.79  | |            by sub-proof #833.
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (33)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_18 = e20 &
% 244.75/48.79  | |           op2(e22, e20) = e20)
% 244.75/48.79  | | 
% 244.75/48.79  | | BETA: splitting (33) gives:
% 244.75/48.79  | | 
% 244.75/48.79  | | Case 1:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (34)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (11), (20), (23), (34) are inconsistent by sub-proof #521.
% 244.75/48.79  | | | 
% 244.75/48.79  | | Case 2:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (35)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.75/48.79  | | | 
% 244.75/48.79  | | | ALPHA: (35) implies:
% 244.75/48.79  | | |   (36)  op2(e22, e20) = e20
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (2), (3), (6), (10), (11), (12), (13), (16), (18), (19), (25),
% 244.75/48.79  | | |            (26), (27), (36) are inconsistent by sub-proof #536.
% 244.75/48.79  | | | 
% 244.75/48.79  | | End of split
% 244.75/48.79  | | 
% 244.75/48.79  | End of split
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #521 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.75/48.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (3)  op2(e22, e21) = all_16_17
% 244.75/48.79    (4)   ~ (all_16_17 = e20)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | ALPHA: (1) implies:
% 244.75/48.79  |   (5)  op2(e22, e21) = e20
% 244.75/48.79  | 
% 244.75/48.79  | GROUND_INST: instantiating (2) with all_16_17, e20, e21, e22, simplifying with
% 244.75/48.79  |              (3), (5) gives:
% 244.75/48.79  |   (6)  all_16_17 = e20
% 244.75/48.79  | 
% 244.75/48.79  | REDUCE: (4), (6) imply:
% 244.75/48.79  |   (7)  $false
% 244.75/48.79  | 
% 244.75/48.79  | CLOSE: (7) is inconsistent.
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #522 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  all_24_0 = e23
% 244.75/48.79    (2)  op2(e20, e24) = all_16_4
% 244.75/48.79    (3)   ~ (e23 = e21)
% 244.75/48.79    (4)  op2(e23, e21) = e24
% 244.75/48.79    (5)   ~ (all_16_19 = e20)
% 244.75/48.79    (6)  op2(e23, e23) = e21
% 244.75/48.79    (7)  all_24_2 = e22
% 244.75/48.79    (8)   ~ (e23 = e22)
% 244.75/48.79    (9)  op2(e20, unit2) = e20
% 244.75/48.79    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.75/48.79            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.75/48.79            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.75/48.79    (12)   ~ (e23 = e20)
% 244.75/48.79    (13)  op2(e24, e23) = e22
% 244.75/48.79    (14)   ~ (e24 = e21)
% 244.75/48.79    (15)  op2(e20, e22) = all_16_14
% 244.75/48.79    (16)   ~ (all_16_4 = e20)
% 244.75/48.79    (17)   ~ (e22 = e21)
% 244.75/48.79    (18)  op2(e24, unit2) = e24
% 244.75/48.79    (19)  op2(e23, e22) = e20
% 244.75/48.79    (20)   ~ (all_16_14 = e20)
% 244.75/48.79    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.79    (22)   ~ (e21 = e20)
% 244.75/48.79    (23)  all_24_9 = e20
% 244.75/48.79    (24)   ~ (e24 = e22)
% 244.75/48.79    (25)  all_24_17 = e23
% 244.75/48.79    (26)   ~ (e24 = e23)
% 244.75/48.79    (27)  op2(e23, e21) = all_10_1
% 244.75/48.79    (28)  op2(e20, e21) = all_16_19
% 244.75/48.79    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (30)  all_24_4 = e24
% 244.75/48.79    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (11) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (32)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 244.75/48.79  | |             e23) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | BETA: splitting (32) gives:
% 244.75/48.79  | | 
% 244.75/48.79  | | Case 1:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (33)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (10), (12), (14), (19), (24),
% 244.75/48.79  | | |            (25), (26), (27), (29), (31), (33) are inconsistent by
% 244.75/48.79  | | |            sub-proof #675.
% 244.75/48.79  | | | 
% 244.75/48.79  | | Case 2:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (34)  all_24_1 = e21 & op2(e24, e23) = e21
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (10), (13), (17), (34) are inconsistent by sub-proof #866.
% 244.75/48.79  | | | 
% 244.75/48.79  | | End of split
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (35)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 244.75/48.79  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | BETA: splitting (35) gives:
% 244.75/48.79  | | 
% 244.75/48.79  | | Case 1:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (36)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (14), (30), (36) are inconsistent by sub-proof #759.
% 244.75/48.79  | | | 
% 244.75/48.79  | | Case 2:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (37)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 244.75/48.79  | | |           op2(e24, e20) = e21)
% 244.75/48.79  | | | 
% 244.75/48.79  | | | BETA: splitting (37) gives:
% 244.75/48.79  | | | 
% 244.75/48.79  | | | Case 1:
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | |   (38)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | | ALPHA: (38) implies:
% 244.75/48.79  | | | |   (39)  all_24_9 = e21
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | | REF_CLOSE: (22), (23), (39) are inconsistent by sub-proof #674.
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | Case 2:
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | |   (40)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | | REF_CLOSE: (2), (5), (9), (10), (14), (15), (16), (18), (20), (21),
% 244.75/48.79  | | | |            (28), (40) are inconsistent by sub-proof #800.
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | End of split
% 244.75/48.79  | | | 
% 244.75/48.79  | | End of split
% 244.75/48.79  | | 
% 244.75/48.79  | End of split
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #523 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  all_24_11 = e22
% 244.75/48.79    (2)  op2(e22, unit2) = e22
% 244.75/48.79    (3)  op2(e23, unit2) = e23
% 244.75/48.79    (4)   ~ (e24 = e20)
% 244.75/48.79    (5)   ~ (e23 = e21)
% 244.75/48.79    (6)  op2(e23, e21) = e24
% 244.75/48.79    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.79    (8)  op2(e23, e23) = e21
% 244.75/48.79    (9)  all_24_2 = e22
% 244.75/48.79    (10)   ~ (e23 = e22)
% 244.75/48.79    (11)   ~ (e22 = e20)
% 244.75/48.79    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (13)  op2(e23, e24) = e22
% 244.75/48.79    (14)  all_24_21 = e23
% 244.75/48.79    (15)   ~ (e23 = e20)
% 244.75/48.79    (16)  op2(e24, e23) = e22
% 244.75/48.79    (17)   ~ (e24 = e21)
% 244.75/48.79    (18)   ~ (e22 = e21)
% 244.75/48.79    (19)  op2(e23, e22) = e20
% 244.75/48.79    (20)  all_24_13 = e24
% 244.75/48.79    (21)  all_24_8 = e23
% 244.75/48.79    (22)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.79    (23)  all_24_6 = e24
% 244.75/48.79    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.79            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.79            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.79    (25)   ~ (e21 = e20)
% 244.75/48.79    (26)   ~ (e24 = e22)
% 244.75/48.79    (27)  all_24_17 = e23
% 244.75/48.79    (28)   ~ (e24 = e23)
% 244.75/48.79    (29)  op2(e23, e21) = all_10_1
% 244.75/48.79    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (31)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.75/48.79            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 244.75/48.79            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.79    (32)  all_24_5 = e20
% 244.75/48.79    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.79            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.79            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.79    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (31) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (35)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.75/48.79  | |             e23) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15), (16),
% 244.75/48.79  | |            (17), (18), (19), (20), (23), (25), (26), (27), (28), (29), (30),
% 244.75/48.79  | |            (33), (34), (35) are inconsistent by sub-proof #524.
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (36)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 244.75/48.79  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.79  | | 
% 244.75/48.79  | | BETA: splitting (36) gives:
% 244.75/48.79  | | 
% 244.75/48.79  | | Case 1:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (37)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.75/48.79  | | | 
% 244.75/48.79  | | | REF_CLOSE: (5), (6), (8), (9), (10), (12), (15), (17), (19), (21), (26),
% 244.75/48.79  | | |            (27), (28), (29), (30), (34), (37) are inconsistent by
% 244.75/48.79  | | |            sub-proof #851.
% 244.75/48.79  | | | 
% 244.75/48.79  | | Case 2:
% 244.75/48.79  | | | 
% 244.75/48.79  | | |   (38)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 244.75/48.79  | | |           op2(e22, e20) = e21)
% 244.75/48.79  | | | 
% 244.75/48.79  | | | BETA: splitting (38) gives:
% 244.75/48.79  | | | 
% 244.75/48.79  | | | Case 1:
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | |   (39)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | | REF_CLOSE: (1), (4), (5), (6), (8), (9), (10), (11), (12), (15), (17),
% 244.75/48.79  | | | |            (18), (19), (24), (26), (28), (29), (30), (32), (34), (39)
% 244.75/48.79  | | | |            are inconsistent by sub-proof #689.
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | Case 2:
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | |   (40)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | | REF_CLOSE: (2), (3), (6), (10), (12), (13), (15), (18), (19), (22),
% 244.75/48.79  | | | |            (28), (29), (40) are inconsistent by sub-proof #797.
% 244.75/48.79  | | | | 
% 244.75/48.79  | | | End of split
% 244.75/48.79  | | | 
% 244.75/48.79  | | End of split
% 244.75/48.79  | | 
% 244.75/48.79  | End of split
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #524 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)   ~ (e24 = e20)
% 244.75/48.79    (2)   ~ (e23 = e21)
% 244.75/48.79    (3)  op2(e23, e21) = e24
% 244.75/48.79    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.79    (5)  op2(e23, e23) = e21
% 244.75/48.79    (6)  all_24_2 = e22
% 244.75/48.79    (7)   ~ (e23 = e22)
% 244.75/48.79    (8)   ~ (e22 = e20)
% 244.75/48.79    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (10)  all_24_21 = e23
% 244.75/48.79    (11)   ~ (e23 = e20)
% 244.75/48.79    (12)  op2(e24, e23) = e22
% 244.75/48.79    (13)   ~ (e24 = e21)
% 244.75/48.79    (14)   ~ (e22 = e21)
% 244.75/48.79    (15)  op2(e23, e22) = e20
% 244.75/48.79    (16)  all_24_13 = e24
% 244.75/48.79    (17)  all_24_6 = e24
% 244.75/48.79    (18)   ~ (e21 = e20)
% 244.75/48.79    (19)   ~ (e24 = e22)
% 244.75/48.79    (20)  all_24_17 = e23
% 244.75/48.79    (21)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.75/48.79            = e21)
% 244.75/48.79    (22)   ~ (e24 = e23)
% 244.75/48.79    (23)  op2(e23, e21) = all_10_1
% 244.75/48.79    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (25)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.79            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.79            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.79    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (21) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (27)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | ALPHA: (27) implies:
% 244.75/48.79  | |   (28)  all_24_6 = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | COMBINE_EQS: (17), (28) imply:
% 244.75/48.79  | |   (29)  e24 = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | REDUCE: (13), (29) imply:
% 244.75/48.79  | |   (30)  $false
% 244.75/48.79  | | 
% 244.75/48.79  | | CLOSE: (30) is inconsistent.
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (31)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | ALPHA: (31) implies:
% 244.75/48.79  | |   (32)  all_24_7 = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.75/48.79  | |            (13), (14), (15), (16), (18), (19), (20), (22), (23), (24), (25),
% 244.75/48.79  | |            (26), (32) are inconsistent by sub-proof #745.
% 244.75/48.79  | | 
% 244.75/48.79  | End of split
% 244.75/48.79  | 
% 244.75/48.79  End of proof
% 244.75/48.79  
% 244.75/48.79  Sub-proof #525 shows that the following formulas are inconsistent:
% 244.75/48.79  ----------------------------------------------------------------
% 244.75/48.79    (1)  all_24_20 = e24
% 244.75/48.79    (2)  all_24_0 = e23
% 244.75/48.79    (3)   ~ (e24 = e20)
% 244.75/48.79    (4)   ~ (e23 = e21)
% 244.75/48.79    (5)  op2(e23, e21) = e24
% 244.75/48.79    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.79           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.79           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.79    (7)  op2(e23, e23) = e21
% 244.75/48.79    (8)  all_24_2 = e22
% 244.75/48.79    (9)   ~ (e23 = e22)
% 244.75/48.79    (10)   ~ (e22 = e20)
% 244.75/48.79    (11)  all_24_6 = e21
% 244.75/48.79    (12)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.75/48.79            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.75/48.79            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.75/48.79    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.79            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.79    (14)   ~ (e23 = e20)
% 244.75/48.79    (15)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.75/48.79            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.75/48.79            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.79    (16)   ~ (e24 = e21)
% 244.75/48.79    (17)   ~ (e22 = e21)
% 244.75/48.79    (18)  op2(e23, e22) = e20
% 244.75/48.79    (19)  all_24_1 = e22
% 244.75/48.79    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24)
% 244.75/48.79    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.79            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.79            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.79    (22)   ~ (e21 = e20)
% 244.75/48.79    (23)   ~ (e24 = e22)
% 244.75/48.79    (24)  all_24_17 = e23
% 244.75/48.79    (25)   ~ (e24 = e23)
% 244.75/48.79    (26)  op2(e23, e21) = all_10_1
% 244.75/48.79    (27)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.79            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.79            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.79    (28)  all_24_3 = e21
% 244.75/48.79    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.79            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.79            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.79  
% 244.75/48.79  Begin of proof
% 244.75/48.79  | 
% 244.75/48.79  | BETA: splitting (20) gives:
% 244.75/48.79  | 
% 244.75/48.79  | Case 1:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (30)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (19), (23), (30) are inconsistent by sub-proof #870.
% 244.75/48.79  | | 
% 244.75/48.79  | Case 2:
% 244.75/48.79  | | 
% 244.75/48.79  | |   (31)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.75/48.79  | | 
% 244.75/48.79  | | ALPHA: (31) implies:
% 244.75/48.79  | |   (32)  all_24_3 = e24
% 244.75/48.79  | | 
% 244.75/48.79  | | COMBINE_EQS: (28), (32) imply:
% 244.75/48.79  | |   (33)  e24 = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | SIMP: (33) implies:
% 244.75/48.79  | |   (34)  e24 = e21
% 244.75/48.79  | | 
% 244.75/48.79  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.75/48.79  | |            (13), (14), (15), (16), (17), (18), (21), (22), (23), (24), (25),
% 244.75/48.80  | |            (26), (27), (29), (34) are inconsistent by sub-proof #526.
% 244.75/48.80  | | 
% 244.75/48.80  | End of split
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #526 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_20 = e24
% 244.75/48.80    (2)  all_24_0 = e23
% 244.75/48.80    (3)   ~ (e24 = e20)
% 244.75/48.80    (4)   ~ (e23 = e21)
% 244.75/48.80    (5)  op2(e23, e21) = e24
% 244.75/48.80    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.80           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.80           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.80    (7)  op2(e23, e23) = e21
% 244.75/48.80    (8)  all_24_2 = e22
% 244.75/48.80    (9)   ~ (e23 = e22)
% 244.75/48.80    (10)   ~ (e22 = e20)
% 244.75/48.80    (11)  all_24_6 = e21
% 244.75/48.80    (12)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.75/48.80            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.75/48.80            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.75/48.80    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (14)   ~ (e23 = e20)
% 244.75/48.80    (15)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.75/48.80            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.75/48.80            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.80    (16)   ~ (e24 = e21)
% 244.75/48.80    (17)  e24 = e21
% 244.75/48.80    (18)   ~ (e22 = e21)
% 244.75/48.80    (19)  op2(e23, e22) = e20
% 244.75/48.80    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (21)   ~ (e21 = e20)
% 244.75/48.80    (22)   ~ (e24 = e22)
% 244.75/48.80    (23)  all_24_17 = e23
% 244.75/48.80    (24)   ~ (e24 = e23)
% 244.75/48.80    (25)  op2(e23, e21) = all_10_1
% 244.75/48.80    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | COMBINE_EQS: (1), (17) imply:
% 244.75/48.80  |   (28)  all_24_20 = e21
% 244.75/48.80  | 
% 244.75/48.80  | BETA: splitting (12) gives:
% 244.75/48.80  | 
% 244.75/48.80  | Case 1:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (29)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23,
% 244.75/48.80  | |             e24) = e24)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (29) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (30)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (2), (24), (30) are inconsistent by sub-proof #677.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (31)  all_24_2 = e24 & op2(e23, e24) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (4), (5), (7), (9), (10), (13), (14), (18), (19), (20), (22),
% 244.75/48.80  | | |            (24), (25), (27), (31) are inconsistent by sub-proof #826.
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | Case 2:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (32)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 & op2(e21,
% 244.75/48.80  | |             e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (32) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (33)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (11), (16), (33) are inconsistent by sub-proof #804.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (34)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 = e24 &
% 244.75/48.80  | | |           op2(e20, e24) = e24)
% 244.75/48.80  | | | 
% 244.75/48.80  | | | BETA: splitting (34) gives:
% 244.75/48.80  | | | 
% 244.75/48.80  | | | Case 1:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (35)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | ALPHA: (35) implies:
% 244.75/48.80  | | | |   (36)  all_24_12 = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | BETA: splitting (15) gives:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | Case 1:
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | |   (37)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 &
% 244.75/48.80  | | | | |           op2(e23, e24) = e20)
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14),
% 244.75/48.80  | | | | |            (16), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 244.75/48.80  | | | | |            (27), (37) are inconsistent by sub-proof #534.
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | Case 2:
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | |   (38)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.75/48.80  | | | | |           op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) =
% 244.75/48.80  | | | | |           e20)
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | | BETA: splitting (38) gives:
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | | Case 1:
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | |   (39)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | | ALPHA: (39) implies:
% 244.75/48.80  | | | | | |   (40)  all_24_6 = e20
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | | REF_CLOSE: (11), (21), (40) are inconsistent by sub-proof #793.
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | Case 2:
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | |   (41)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 &
% 244.75/48.80  | | | | | |           op2(e20, e24) = e20)
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | | BETA: splitting (41) gives:
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | | Case 1:
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | |   (42)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | ALPHA: (42) implies:
% 244.75/48.80  | | | | | | |   (43)  all_24_12 = e20
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | REF_CLOSE: (3), (36), (43) are inconsistent by sub-proof #527.
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | Case 2:
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | |   (44)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | ALPHA: (44) implies:
% 244.75/48.80  | | | | | | |   (45)  all_24_20 = e20
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | COMBINE_EQS: (28), (45) imply:
% 244.75/48.80  | | | | | | |   (46)  e21 = e20
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | REDUCE: (21), (46) imply:
% 244.75/48.80  | | | | | | |   (47)  $false
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | | CLOSE: (47) is inconsistent.
% 244.75/48.80  | | | | | | | 
% 244.75/48.80  | | | | | | End of split
% 244.75/48.80  | | | | | | 
% 244.75/48.80  | | | | | End of split
% 244.75/48.80  | | | | | 
% 244.75/48.80  | | | | End of split
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | Case 2:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (48)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | REF_CLOSE: (1), (16), (28) are inconsistent by sub-proof #576.
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | End of split
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | End of split
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #527 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_12 = e24
% 244.75/48.80    (2)  all_24_12 = e20
% 244.75/48.80    (3)   ~ (e24 = e20)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | COMBINE_EQS: (1), (2) imply:
% 244.75/48.80  |   (4)  e24 = e20
% 244.75/48.80  | 
% 244.75/48.80  | SIMP: (4) implies:
% 244.75/48.80  |   (5)  e24 = e20
% 244.75/48.80  | 
% 244.75/48.80  | REDUCE: (3), (5) imply:
% 244.75/48.80  |   (6)  $false
% 244.75/48.80  | 
% 244.75/48.80  | CLOSE: (6) is inconsistent.
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #528 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_24 = e20
% 244.75/48.80    (2)  all_24_0 = e23
% 244.75/48.80    (3)  op2(e22, unit2) = e22
% 244.75/48.80    (4)   ~ (all_16_15 = e24)
% 244.75/48.80    (5)  op2(e23, unit2) = e23
% 244.75/48.80    (6)   ~ (e24 = e20)
% 244.75/48.80    (7)   ~ (e23 = e21)
% 244.75/48.80    (8)  op2(e23, e21) = e24
% 244.75/48.80    (9)  op2(e23, e23) = e21
% 244.75/48.80    (10)  all_24_14 = e20
% 244.75/48.80    (11)  all_24_2 = e22
% 244.75/48.80    (12)  all_24_19 = e22
% 244.75/48.80    (13)   ~ (e23 = e22)
% 244.75/48.80    (14)   ~ (e22 = e20)
% 244.75/48.80    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (16)  op2(e23, e24) = e22
% 244.75/48.80    (17)   ~ (e23 = e20)
% 244.75/48.80    (18)   ~ (e24 = e21)
% 244.75/48.80    (19)   ~ (e22 = e21)
% 244.75/48.80    (20)  op2(e23, e22) = e20
% 244.75/48.80    (21)  all_24_8 = e23
% 244.75/48.80    (22)  all_24_1 = e22
% 244.75/48.80    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.75/48.80            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.75/48.80            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.80    (24)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.80    (25)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (26)   ~ (e21 = e20)
% 244.75/48.80    (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.75/48.80            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.75/48.80            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.80    (28)  op2(e24, e21) = all_16_15
% 244.75/48.80    (29)   ~ (e24 = e22)
% 244.75/48.80    (30)  all_24_17 = e23
% 244.75/48.80    (31)   ~ (e24 = e23)
% 244.75/48.80    (32)  op2(e23, e21) = all_10_1
% 244.75/48.80    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (34)  all_24_5 = e20
% 244.75/48.80    (35)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.75/48.80              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.75/48.80            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.80    (36)  all_24_22 = e22
% 244.75/48.80    (37)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | BETA: splitting (23) gives:
% 244.75/48.80  | 
% 244.75/48.80  | Case 1:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.75/48.80  | |             e23) = e24)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (38) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (39)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (2), (31), (39) are inconsistent by sub-proof #677.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (40)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (22), (29), (40) are inconsistent by sub-proof #870.
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | Case 2:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (41)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.75/48.80  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (41) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (42)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | ALPHA: (42) implies:
% 244.75/48.80  | | |   (43)  all_24_4 = e24
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (6), (7), (8), (9), (10), (11), (13), (14), (15), (17), (18),
% 244.75/48.80  | | |            (19), (20), (21), (25), (26), (27), (29), (30), (31), (32),
% 244.75/48.80  | | |            (33), (34), (36), (37), (43) are inconsistent by sub-proof
% 244.75/48.80  | | |            #848.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (44)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.75/48.80  | | |           op2(e24, e20) = e24)
% 244.75/48.80  | | | 
% 244.75/48.80  | | | BETA: splitting (44) gives:
% 244.75/48.80  | | | 
% 244.75/48.80  | | | Case 1:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (45)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | REF_CLOSE: (4), (15), (28), (45) are inconsistent by sub-proof #862.
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | Case 2:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (46)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | ALPHA: (46) implies:
% 244.75/48.80  | | | |   (47)  all_24_16 = e24
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 244.75/48.80  | | | |            (15), (16), (17), (18), (19), (20), (24), (25), (26), (29),
% 244.75/48.80  | | | |            (31), (32), (33), (34), (35), (37), (47) are inconsistent by
% 244.75/48.80  | | | |            sub-proof #543.
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | End of split
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | End of split
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #529 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_23 = e21
% 244.75/48.80    (2)  all_24_20 = e24
% 244.75/48.80    (3)  all_24_24 = e20
% 244.75/48.80    (4)   ~ (e24 = e20)
% 244.75/48.80    (5)   ~ (e23 = e21)
% 244.75/48.80    (6)  op2(e23, e21) = e24
% 244.75/48.80    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.80           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.80           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.80    (8)  op2(e23, e23) = e21
% 244.75/48.80    (9)  all_24_2 = e22
% 244.75/48.80    (10)   ~ (e23 = e22)
% 244.75/48.80    (11)   ~ (e22 = e20)
% 244.75/48.80    (12)  op2(e21, e23) = all_16_8
% 244.75/48.80    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (14)  all_24_21 = e23
% 244.75/48.80    (15)   ~ (e23 = e20)
% 244.75/48.80    (16)   ~ (all_16_7 = e23)
% 244.75/48.80    (17)  op2(e24, e23) = e22
% 244.75/48.80    (18)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.75/48.80              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.75/48.80            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.80    (19)   ~ (e24 = e21)
% 244.75/48.80    (20)   ~ (e22 = e21)
% 244.75/48.80    (21)  all_24_12 = e20
% 244.75/48.80    (22)  op2(e23, e22) = e20
% 244.75/48.80    (23)  all_24_1 = e22
% 244.75/48.80    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.80            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.80    (25)   ~ (all_16_8 = e23)
% 244.75/48.80    (26)  op2(e22, e23) = all_16_7
% 244.75/48.80    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (28)   ~ (e21 = e20)
% 244.75/48.80    (29)   ~ (e24 = e22)
% 244.75/48.80    (30)  all_24_17 = e23
% 244.75/48.80    (31)   ~ (e24 = e23)
% 244.75/48.80    (32)  op2(e23, e21) = all_10_1
% 244.75/48.80    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.80            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.80    (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (35)  all_24_5 = e20
% 244.75/48.80    (36)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.80            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.80            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.80    (37)  all_24_22 = e22
% 244.75/48.80    (38)  all_24_3 = e21
% 244.75/48.80    (39)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.75/48.80              e23) = e21)
% 244.75/48.80    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | BETA: splitting (39) gives:
% 244.75/48.80  | 
% 244.75/48.80  | Case 1:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (41)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.75/48.80  | | 
% 244.75/48.80  | | ALPHA: (41) implies:
% 244.75/48.80  | |   (42)  all_24_12 = e21
% 244.75/48.80  | | 
% 244.75/48.80  | | REF_CLOSE: (21), (28), (42) are inconsistent by sub-proof #703.
% 244.75/48.80  | | 
% 244.75/48.80  | Case 2:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (43)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.75/48.80  | | 
% 244.75/48.80  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.75/48.80  | |            (13), (14), (15), (16), (17), (18), (19), (20), (22), (23), (24),
% 244.75/48.80  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 244.75/48.80  | |            (36), (37), (38), (40), (43) are inconsistent by sub-proof #530.
% 244.75/48.80  | | 
% 244.75/48.80  | End of split
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #530 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_23 = e21
% 244.75/48.80    (2)  all_24_20 = e24
% 244.75/48.80    (3)  all_24_24 = e20
% 244.75/48.80    (4)   ~ (e24 = e20)
% 244.75/48.80    (5)   ~ (e23 = e21)
% 244.75/48.80    (6)  op2(e23, e21) = e24
% 244.75/48.80    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.80           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.80           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.80    (8)  op2(e23, e23) = e21
% 244.75/48.80    (9)  all_24_2 = e22
% 244.75/48.80    (10)   ~ (e23 = e22)
% 244.75/48.80    (11)   ~ (e22 = e20)
% 244.75/48.80    (12)  op2(e21, e23) = all_16_8
% 244.75/48.80    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (14)  all_24_21 = e23
% 244.75/48.80    (15)   ~ (e23 = e20)
% 244.75/48.80    (16)   ~ (all_16_7 = e23)
% 244.75/48.80    (17)  op2(e24, e23) = e22
% 244.75/48.80    (18)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.75/48.80              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.75/48.80            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.80    (19)   ~ (e24 = e21)
% 244.75/48.80    (20)   ~ (e22 = e21)
% 244.75/48.80    (21)  op2(e23, e22) = e20
% 244.75/48.80    (22)  all_24_1 = e22
% 244.75/48.80    (23)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.80            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.80    (24)   ~ (all_16_8 = e23)
% 244.75/48.80    (25)  op2(e22, e23) = all_16_7
% 244.75/48.80    (26)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (27)   ~ (e21 = e20)
% 244.75/48.80    (28)   ~ (e24 = e22)
% 244.75/48.80    (29)  all_24_17 = e23
% 244.75/48.80    (30)   ~ (e24 = e23)
% 244.75/48.80    (31)  op2(e23, e21) = all_10_1
% 244.75/48.80    (32)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.75/48.80    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.80            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.80    (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (35)  all_24_5 = e20
% 244.75/48.80    (36)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.80            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.80            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.80    (37)  all_24_22 = e22
% 244.75/48.80    (38)  all_24_3 = e21
% 244.75/48.80    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | ALPHA: (32) implies:
% 244.75/48.80  |   (40)  all_24_13 = e21
% 244.75/48.80  | 
% 244.75/48.80  | BETA: splitting (36) gives:
% 244.75/48.80  | 
% 244.75/48.80  | Case 1:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (41)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.75/48.80  | |             e23) = e20)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (41) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (42)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (11), (13), (17), (42) are inconsistent by sub-proof #911.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (43)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (8), (13), (27), (43) are inconsistent by sub-proof #1306.
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | Case 2:
% 244.75/48.80  | | 
% 244.75/48.80  | |   (44)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 244.75/48.80  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.80  | | 
% 244.75/48.80  | | BETA: splitting (44) gives:
% 244.75/48.80  | | 
% 244.75/48.80  | | Case 1:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (45)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.75/48.80  | | | 
% 244.75/48.80  | | | ALPHA: (45) implies:
% 244.75/48.80  | | |   (46)  all_24_7 = e20
% 244.75/48.80  | | | 
% 244.75/48.80  | | | REF_CLOSE: (4), (5), (8), (10), (12), (13), (16), (17), (19), (22), (23),
% 244.75/48.80  | | |            (24), (25), (28), (30), (33), (38), (40), (46) are inconsistent
% 244.75/48.80  | | |            by sub-proof #835.
% 244.75/48.80  | | | 
% 244.75/48.80  | | Case 2:
% 244.75/48.80  | | | 
% 244.75/48.80  | | |   (47)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 244.75/48.80  | | |           op2(e20, e23) = e20)
% 244.75/48.80  | | | 
% 244.75/48.80  | | | BETA: splitting (47) gives:
% 244.75/48.80  | | | 
% 244.75/48.80  | | | Case 1:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (48)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | ALPHA: (48) implies:
% 244.75/48.80  | | | |   (49)  all_24_13 = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | COMBINE_EQS: (40), (49) imply:
% 244.75/48.80  | | | |   (50)  e21 = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 244.75/48.80  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 244.75/48.80  | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 244.75/48.80  | | | |            (33), (34), (35), (36), (37), (38), (39), (49), (50) are
% 244.75/48.80  | | | |            inconsistent by sub-proof #531.
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | Case 2:
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | |   (51)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | ALPHA: (51) implies:
% 244.75/48.80  | | | |   (52)  all_24_21 = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | COMBINE_EQS: (14), (52) imply:
% 244.75/48.80  | | | |   (53)  e23 = e20
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (13), (15), (19), (20),
% 244.75/48.80  | | | |            (21), (27), (28), (29), (30), (31), (34), (39), (53) are
% 244.75/48.80  | | | |            inconsistent by sub-proof #833.
% 244.75/48.80  | | | | 
% 244.75/48.80  | | | End of split
% 244.75/48.80  | | | 
% 244.75/48.80  | | End of split
% 244.75/48.80  | | 
% 244.75/48.80  | End of split
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #531 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_23 = e21
% 244.75/48.80    (2)  all_24_20 = e24
% 244.75/48.80    (3)  all_24_24 = e20
% 244.75/48.80    (4)   ~ (e24 = e20)
% 244.75/48.80    (5)   ~ (e23 = e21)
% 244.75/48.80    (6)  op2(e23, e21) = e24
% 244.75/48.80    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.80           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.80           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.80    (8)  op2(e23, e23) = e21
% 244.75/48.80    (9)  all_24_2 = e22
% 244.75/48.80    (10)   ~ (e23 = e22)
% 244.75/48.80    (11)   ~ (e22 = e20)
% 244.75/48.80    (12)  op2(e21, e23) = all_16_8
% 244.75/48.80    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (14)  all_24_13 = e20
% 244.75/48.80    (15)  all_24_21 = e23
% 244.75/48.80    (16)   ~ (e23 = e20)
% 244.75/48.80    (17)   ~ (all_16_7 = e23)
% 244.75/48.80    (18)  op2(e24, e23) = e22
% 244.75/48.80    (19)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.75/48.80              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.75/48.80            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.80    (20)   ~ (e24 = e21)
% 244.75/48.80    (21)   ~ (e22 = e21)
% 244.75/48.80    (22)  op2(e23, e22) = e20
% 244.75/48.80    (23)  all_24_1 = e22
% 244.75/48.80    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.80            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.80    (25)   ~ (all_16_8 = e23)
% 244.75/48.80    (26)  op2(e22, e23) = all_16_7
% 244.75/48.80    (27)  e21 = e20
% 244.75/48.80    (28)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (29)   ~ (e21 = e20)
% 244.75/48.80    (30)   ~ (e24 = e22)
% 244.75/48.80    (31)  all_24_17 = e23
% 244.75/48.80    (32)   ~ (e24 = e23)
% 244.75/48.80    (33)  op2(e23, e21) = all_10_1
% 244.75/48.80    (34)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.80            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.80    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (36)  all_24_5 = e20
% 244.75/48.80    (37)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.80            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.80            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.80    (38)  all_24_22 = e22
% 244.75/48.80    (39)  all_24_3 = e21
% 244.75/48.80    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | SIMP: (27) implies:
% 244.75/48.80  |   (41)  e21 = e20
% 244.75/48.80  | 
% 244.75/48.80  | COMBINE_EQS: (1), (41) imply:
% 244.75/48.80  |   (42)  all_24_23 = e20
% 244.75/48.80  | 
% 244.75/48.80  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.75/48.80  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 244.75/48.80  |            (25), (26), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 244.75/48.80  |            (37), (38), (39), (40), (42) are inconsistent by sub-proof #589.
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #532 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)   ~ (e23 = e21)
% 244.75/48.80    (2)  op2(e23, e21) = e24
% 244.75/48.80    (3)  op2(e23, e23) = e21
% 244.75/48.80    (4)  all_24_2 = e22
% 244.75/48.80    (5)   ~ (e23 = e22)
% 244.75/48.80    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (7)   ~ (e23 = e20)
% 244.75/48.80    (8)   ~ (e24 = e21)
% 244.75/48.80    (9)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.75/48.80    (10)  op2(e23, e22) = e20
% 244.75/48.80    (11)   ~ (e24 = e22)
% 244.75/48.80    (12)  all_24_17 = e23
% 244.75/48.80    (13)   ~ (e24 = e23)
% 244.75/48.80    (14)  op2(e23, e21) = all_10_1
% 244.75/48.80    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (16)  all_24_15 = e23
% 244.75/48.80    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | ALPHA: (9) implies:
% 244.75/48.80  |   (18)  all_24_15 = e21
% 244.75/48.80  | 
% 244.75/48.80  | COMBINE_EQS: (16), (18) imply:
% 244.75/48.80  |   (19)  e23 = e21
% 244.75/48.80  | 
% 244.75/48.80  | COMBINE_EQS: (12), (19) imply:
% 244.75/48.80  |   (20)  all_24_17 = e21
% 244.75/48.80  | 
% 244.75/48.80  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14),
% 244.75/48.80  |            (15), (17), (20) are inconsistent by sub-proof #874.
% 244.75/48.80  | 
% 244.75/48.80  End of proof
% 244.75/48.80  
% 244.75/48.80  Sub-proof #533 shows that the following formulas are inconsistent:
% 244.75/48.80  ----------------------------------------------------------------
% 244.75/48.80    (1)  all_24_0 = e23
% 244.75/48.80    (2)   ~ (e24 = e20)
% 244.75/48.80    (3)   ~ (e23 = e21)
% 244.75/48.80    (4)  op2(e23, e21) = e24
% 244.75/48.80    (5)  op2(e23, e23) = e21
% 244.75/48.80    (6)  all_24_2 = e22
% 244.75/48.80    (7)   ~ (e23 = e22)
% 244.75/48.80    (8)   ~ (e22 = e20)
% 244.75/48.80    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.80           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.80    (10)   ~ (e23 = e20)
% 244.75/48.80    (11)   ~ (e24 = e21)
% 244.75/48.80    (12)   ~ (e22 = e21)
% 244.75/48.80    (13)  op2(e23, e22) = e20
% 244.75/48.80    (14)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.75/48.80            = e21)
% 244.75/48.80    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.80            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.80            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.80    (16)   ~ (e24 = e22)
% 244.75/48.80    (17)  all_24_17 = e23
% 244.75/48.80    (18)   ~ (e24 = e23)
% 244.75/48.80    (19)  op2(e23, e21) = all_10_1
% 244.75/48.80    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.80            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.80            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.80    (21)  all_24_5 = e20
% 244.75/48.80    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.80            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.80            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.80  
% 244.75/48.80  Begin of proof
% 244.75/48.80  | 
% 244.75/48.80  | BETA: splitting (14) gives:
% 244.75/48.80  | 
% 244.75/48.80  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (23)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (13), (16), (17),
% 244.75/48.81  | |            (18), (19), (20), (22), (23) are inconsistent by sub-proof #675.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (24)  all_24_2 = e21 & op2(e23, e24) = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (24) implies:
% 244.75/48.81  | |   (25)  all_24_2 = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (15),
% 244.75/48.81  | |            (16), (18), (19), (20), (21), (22), (25) are inconsistent by
% 244.75/48.81  | |            sub-proof #1298.
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #534 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  all_24_0 = e23
% 244.75/48.81    (2)   ~ (e24 = e20)
% 244.75/48.81    (3)   ~ (e23 = e21)
% 244.75/48.81    (4)  op2(e23, e21) = e24
% 244.75/48.81    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.81           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.81           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.81    (6)  op2(e23, e23) = e21
% 244.75/48.81    (7)  all_24_2 = e22
% 244.75/48.81    (8)   ~ (e23 = e22)
% 244.75/48.81    (9)   ~ (e22 = e20)
% 244.75/48.81    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (11)   ~ (e23 = e20)
% 244.75/48.81    (12)   ~ (e24 = e21)
% 244.75/48.81    (13)   ~ (e22 = e21)
% 244.75/48.81    (14)  op2(e23, e22) = e20
% 244.75/48.81    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (16)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.75/48.81            = e20)
% 244.75/48.81    (17)   ~ (e21 = e20)
% 244.75/48.81    (18)   ~ (e24 = e22)
% 244.75/48.81    (19)  all_24_17 = e23
% 244.75/48.81    (20)   ~ (e24 = e23)
% 244.75/48.81    (21)  op2(e23, e21) = all_10_1
% 244.75/48.81    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (16) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (24)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 244.75/48.81  | |            (14), (17), (18), (19), (20), (21), (22), (23), (24) are
% 244.75/48.81  | |            inconsistent by sub-proof #676.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (25)  all_24_2 = e20 & op2(e23, e24) = e20
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (25) implies:
% 244.75/48.81  | |   (26)  all_24_2 = e20
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 244.75/48.81  | |            (15), (17), (18), (20), (21), (22), (23), (26) are inconsistent
% 244.75/48.81  | |            by sub-proof #1307.
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #535 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_16 = e23 & op2(e24, e20)
% 244.75/48.81           = e23)
% 244.75/48.81    (2)   ~ (all_16_20 = e23)
% 244.75/48.81    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (4)   ~ (all_16_15 = e23)
% 244.75/48.81    (5)  op2(e24, e20) = all_16_20
% 244.75/48.81    (6)  op2(e24, e21) = all_16_15
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (1) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (7)  all_24_9 = e23 & op2(e24, e21) = e23
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (7) implies:
% 244.75/48.81  | |   (8)  op2(e24, e21) = e23
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #612.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (9)  all_24_16 = e23 & op2(e24, e20) = e23
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #678.
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #536 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  op2(e22, unit2) = e22
% 244.75/48.81    (2)  op2(e23, unit2) = e23
% 244.75/48.81    (3)  op2(e23, e21) = e24
% 244.75/48.81    (4)   ~ (e23 = e22)
% 244.75/48.81    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (6)  op2(e23, e24) = e22
% 244.75/48.81    (7)   ~ (e23 = e20)
% 244.75/48.81    (8)  op2(e23, e22) = e20
% 244.75/48.81    (9)  op2(e22, e20) = e20
% 244.75/48.81    (10)  op2(e21, e20) = e22
% 244.75/48.81    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.81    (12)   ~ (e24 = e23)
% 244.75/48.81    (13)  op2(e23, e21) = all_10_1
% 244.75/48.81    (14)  op2(e21, unit2) = e21
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (11) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (15)  unit2 = e24
% 244.75/48.81  | | 
% 244.75/48.81  | | REDUCE: (2), (15) imply:
% 244.75/48.81  | |   (16)  op2(e23, e24) = e23
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (4), (5), (6), (16) are inconsistent by sub-proof #965.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (17) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (18)  unit2 = e22
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REDUCE: (2), (18) imply:
% 244.75/48.81  | | |   (19)  op2(e23, e22) = e23
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (5), (7), (8), (19) are inconsistent by sub-proof #1326.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (20)  unit2 = e21 | unit2 = e20
% 244.75/48.81  | | | 
% 244.75/48.81  | | | BETA: splitting (20) gives:
% 244.75/48.81  | | | 
% 244.75/48.81  | | | Case 1:
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | |   (21)  unit2 = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (2), (21) imply:
% 244.75/48.81  | | | |   (22)  op2(e23, e21) = e23
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REF_CLOSE: (3), (5), (12), (13), (22) are inconsistent by sub-proof
% 244.75/48.81  | | | |            #957.
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | Case 2:
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | |   (23)  unit2 = e20
% 244.75/48.81  | | | |   (24)   ~ (unit2 = e21)
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (23), (24) imply:
% 244.75/48.81  | | | |   (25)   ~ (e21 = e20)
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | SIMP: (25) implies:
% 244.75/48.81  | | | |   (26)   ~ (e21 = e20)
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (1), (23) imply:
% 244.75/48.81  | | | |   (27)  op2(e22, e20) = e22
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (14), (23) imply:
% 244.75/48.81  | | | |   (28)  op2(e21, e20) = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | GROUND_INST: instantiating (5) with e22, e21, e20, e21, simplifying with
% 244.75/48.81  | | | |              (10), (28) gives:
% 244.75/48.81  | | | |   (29)  e22 = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | GROUND_INST: instantiating (5) with e20, e22, e20, e22, simplifying with
% 244.75/48.81  | | | |              (9), (27) gives:
% 244.75/48.81  | | | |   (30)  e22 = e20
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | COMBINE_EQS: (29), (30) imply:
% 244.75/48.81  | | | |   (31)  e21 = e20
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (26), (31) imply:
% 244.75/48.81  | | | |   (32)  $false
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | CLOSE: (32) is inconsistent.
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | End of split
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #537 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)   ~ (e24 = e20)
% 244.75/48.81    (2)   ~ (e23 = e21)
% 244.75/48.81    (3)  all_24_11 = e23
% 244.75/48.81    (4)  op2(e23, e21) = e24
% 244.75/48.81    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.81           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.81           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.81    (6)  op2(e23, e23) = e21
% 244.75/48.81    (7)  all_24_2 = e22
% 244.75/48.81    (8)   ~ (e23 = e22)
% 244.75/48.81    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (10)   ~ (e23 = e20)
% 244.75/48.81    (11)   ~ (e24 = e21)
% 244.75/48.81    (12)   ~ (e22 = e21)
% 244.75/48.81    (13)  op2(e23, e22) = e20
% 244.75/48.81    (14)   ~ (e21 = e20)
% 244.75/48.81    (15)   ~ (e24 = e22)
% 244.75/48.81    (16)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.75/48.81    (17)  all_24_17 = e23
% 244.75/48.81    (18)   ~ (e24 = e23)
% 244.75/48.81    (19)  op2(e23, e21) = all_10_1
% 244.75/48.81    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | ALPHA: (16) implies:
% 244.75/48.81  |   (22)  all_24_11 = e20
% 244.75/48.81  | 
% 244.75/48.81  | COMBINE_EQS: (3), (22) imply:
% 244.75/48.81  |   (23)  e23 = e20
% 244.75/48.81  | 
% 244.75/48.81  | COMBINE_EQS: (17), (23) imply:
% 244.75/48.81  |   (24)  all_24_17 = e20
% 244.75/48.81  | 
% 244.75/48.81  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.75/48.81  |            (14), (15), (18), (19), (20), (21), (24) are inconsistent by
% 244.75/48.81  |            sub-proof #888.
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #538 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)   ~ (e24 = e20)
% 244.75/48.81    (2)   ~ (e23 = e21)
% 244.75/48.81    (3)  op2(e23, e21) = e24
% 244.75/48.81    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.81           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.81           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.81    (5)  op2(e23, e23) = e21
% 244.75/48.81    (6)  all_24_2 = e22
% 244.75/48.81    (7)   ~ (e23 = e22)
% 244.75/48.81    (8)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.75/48.81    (9)   ~ (e22 = e20)
% 244.75/48.81    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (11)   ~ (e23 = e20)
% 244.75/48.81    (12)   ~ (e24 = e21)
% 244.75/48.81    (13)   ~ (e22 = e21)
% 244.75/48.81    (14)  all_24_8 = e22
% 244.75/48.81    (15)  op2(e23, e22) = e20
% 244.75/48.81    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (17)   ~ (e21 = e20)
% 244.75/48.81    (18)   ~ (e24 = e22)
% 244.75/48.81    (19)   ~ (e24 = e23)
% 244.75/48.81    (20)  op2(e23, e21) = all_10_1
% 244.75/48.81    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | ALPHA: (8) implies:
% 244.75/48.81  |   (23)  all_24_8 = e20
% 244.75/48.81  | 
% 244.75/48.81  | COMBINE_EQS: (14), (23) imply:
% 244.75/48.81  |   (24)  e22 = e20
% 244.75/48.81  | 
% 244.75/48.81  | COMBINE_EQS: (6), (24) imply:
% 244.75/48.81  |   (25)  all_24_2 = e20
% 244.75/48.81  | 
% 244.75/48.81  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (15),
% 244.75/48.81  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 244.75/48.81  |            sub-proof #1307.
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #539 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.75/48.81             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.75/48.81           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.75/48.81    (2)   ~ (e24 = e20)
% 244.75/48.81    (3)   ~ (e23 = e21)
% 244.75/48.81    (4)  op2(e23, e21) = e24
% 244.75/48.81    (5)  op2(e23, e23) = e21
% 244.75/48.81    (6)  all_24_2 = e22
% 244.75/48.81    (7)  all_24_19 = e22
% 244.75/48.81    (8)   ~ (e23 = e22)
% 244.75/48.81    (9)   ~ (e22 = e20)
% 244.75/48.81    (10)  all_24_15 = e20
% 244.75/48.81    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (12)   ~ (e23 = e20)
% 244.75/48.81    (13)   ~ (e24 = e21)
% 244.75/48.81    (14)   ~ (e22 = e21)
% 244.75/48.81    (15)  op2(e23, e22) = e20
% 244.75/48.81    (16)  all_24_12 = e23
% 244.75/48.81    (17)  all_24_13 = e24
% 244.75/48.81    (18)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (19)  all_24_14 = e24
% 244.75/48.81    (20)   ~ (e21 = e20)
% 244.75/48.81    (21)   ~ (e24 = e22)
% 244.75/48.81    (22)  all_24_17 = e23
% 244.75/48.81    (23)   ~ (e24 = e23)
% 244.75/48.81    (24)  op2(e23, e21) = all_10_1
% 244.75/48.81    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (26)  all_24_5 = e20
% 244.75/48.81    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (1) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (28)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 244.75/48.81  | |           op2(e21, e23) = e21)
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (28) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (29)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (3), (4), (5), (6), (8), (11), (12), (13), (15), (16), (21),
% 244.75/48.81  | | |            (22), (23), (24), (25), (27), (29) are inconsistent by
% 244.75/48.81  | | |            sub-proof #747.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (30)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (13), (17), (30) are inconsistent by sub-proof #582.
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (31)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 244.75/48.81  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (31) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (32)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | ALPHA: (32) implies:
% 244.75/48.81  | | |   (33)  all_24_14 = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | COMBINE_EQS: (19), (33) imply:
% 244.75/48.81  | | |   (34)  e24 = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REDUCE: (13), (34) imply:
% 244.75/48.81  | | |   (35)  $false
% 244.75/48.81  | | | 
% 244.75/48.81  | | | CLOSE: (35) is inconsistent.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (36)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 244.75/48.81  | | |           op2(e21, e20) = e21)
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.75/48.81  | | |            (14), (15), (18), (20), (21), (23), (24), (25), (26), (27),
% 244.75/48.81  | | |            (36) are inconsistent by sub-proof #681.
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #540 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  op2(e20, e24) = all_16_4
% 244.75/48.81    (2)   ~ (e24 = e20)
% 244.75/48.81    (3)   ~ (e23 = e21)
% 244.75/48.81    (4)  op2(e23, e21) = e24
% 244.75/48.81    (5)   ~ (all_16_19 = e20)
% 244.75/48.81    (6)  op2(e23, e23) = e21
% 244.75/48.81    (7)  all_24_14 = e20
% 244.75/48.81    (8)  all_24_2 = e22
% 244.75/48.81    (9)   ~ (e23 = e22)
% 244.75/48.81    (10)  op2(e20, unit2) = e20
% 244.75/48.81    (11)   ~ (e22 = e20)
% 244.75/48.81    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (13)   ~ (e23 = e20)
% 244.75/48.81    (14)   ~ (e24 = e21)
% 244.75/48.81    (15)  op2(e20, e22) = all_16_14
% 244.75/48.81    (16)   ~ (all_16_4 = e20)
% 244.75/48.81    (17)   ~ (e22 = e21)
% 244.75/48.81    (18)  all_24_8 = e22
% 244.75/48.81    (19)  op2(e23, e22) = e20
% 244.75/48.81    (20)   ~ (all_16_14 = e20)
% 244.75/48.81    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.81    (22)  all_24_4 = e23
% 244.75/48.81    (23)  op2(unit2, e22) = e22
% 244.75/48.81    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (25)   ~ (e21 = e20)
% 244.75/48.81    (26)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.75/48.81            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.75/48.81            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.81    (27)   ~ (e24 = e22)
% 244.75/48.81    (28)  all_24_17 = e23
% 244.75/48.81    (29)   ~ (e24 = e23)
% 244.75/48.81    (30)  op2(e23, e21) = all_10_1
% 244.75/48.81    (31)  op2(e20, e21) = all_16_19
% 244.75/48.81    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (33)  all_24_5 = e20
% 244.75/48.81    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (26) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (35)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 244.75/48.81  | |             e22) = e21)
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (35) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (36)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (3), (4), (6), (8), (9), (12), (13), (14), (19), (22), (27),
% 244.75/48.81  | | |            (28), (29), (30), (32), (34), (36) are inconsistent by
% 244.75/48.81  | | |            sub-proof #664.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (37)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (12), (19), (25), (37) are inconsistent by sub-proof #1318.
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (38)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 244.75/48.81  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (38) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (39)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (11), (12), (13), (14), (17),
% 244.75/48.81  | | |            (18), (19), (24), (27), (29), (30), (32), (33), (34), (39) are
% 244.75/48.81  | | |            inconsistent by sub-proof #625.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (40)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 244.75/48.81  | | |           op2(e20, e22) = e21)
% 244.75/48.81  | | | 
% 244.75/48.81  | | | BETA: splitting (40) gives:
% 244.75/48.81  | | | 
% 244.75/48.81  | | | Case 1:
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | |   (41)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | ALPHA: (41) implies:
% 244.75/48.81  | | | |   (42)  all_24_14 = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | COMBINE_EQS: (7), (42) imply:
% 244.75/48.81  | | | |   (43)  e21 = e20
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | SIMP: (43) implies:
% 244.75/48.81  | | | |   (44)  e21 = e20
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REDUCE: (25), (44) imply:
% 244.75/48.81  | | | |   (45)  $false
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | CLOSE: (45) is inconsistent.
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | Case 2:
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | |   (46)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | | REF_CLOSE: (1), (5), (10), (12), (15), (16), (17), (20), (21), (23),
% 244.75/48.81  | | | |            (31), (46) are inconsistent by sub-proof #732.
% 244.75/48.81  | | | | 
% 244.75/48.81  | | | End of split
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #541 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  op2(e22, unit2) = e22
% 244.75/48.81    (2)  op2(e23, unit2) = e23
% 244.75/48.81    (3)   ~ (e24 = e20)
% 244.75/48.81    (4)   ~ (e23 = e21)
% 244.75/48.81    (5)  all_24_11 = e23
% 244.75/48.81    (6)  op2(e23, e21) = e24
% 244.75/48.81    (7)  op2(e23, e23) = e21
% 244.75/48.81    (8)  all_24_2 = e22
% 244.75/48.81    (9)   ~ (e23 = e22)
% 244.75/48.81    (10)   ~ (e22 = e20)
% 244.75/48.81    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (12)  op2(e23, e24) = e22
% 244.75/48.81    (13)   ~ (e23 = e20)
% 244.75/48.81    (14)   ~ (e24 = e21)
% 244.75/48.81    (15)   ~ (e22 = e21)
% 244.75/48.81    (16)  all_24_8 = e22
% 244.75/48.81    (17)  op2(e23, e22) = e20
% 244.75/48.81    (18)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.81    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (20)   ~ (e24 = e22)
% 244.75/48.81    (21)  all_24_17 = e23
% 244.75/48.81    (22)   ~ (e24 = e23)
% 244.75/48.81    (23)  op2(e23, e21) = all_10_1
% 244.75/48.81    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (25)  all_24_5 = e20
% 244.75/48.81    (26)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 244.75/48.81              e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.81    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (26) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (28)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (28) implies:
% 244.75/48.81  | |   (29)  all_24_8 = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (13), (14), (15), (16),
% 244.75/48.81  | |            (17), (19), (20), (22), (23), (24), (25), (27), (29) are
% 244.75/48.81  | |            inconsistent by sub-proof #554.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (30)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 244.75/48.81  | |           op2(e22, e20) = e21)
% 244.75/48.81  | | 
% 244.75/48.81  | | BETA: splitting (30) gives:
% 244.75/48.81  | | 
% 244.75/48.81  | | Case 1:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (31)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (13), (14), (17), (20),
% 244.75/48.81  | | |            (21), (22), (23), (24), (27), (31) are inconsistent by
% 244.75/48.81  | | |            sub-proof #624.
% 244.75/48.81  | | | 
% 244.75/48.81  | | Case 2:
% 244.75/48.81  | | | 
% 244.75/48.81  | | |   (32)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.75/48.81  | | | 
% 244.75/48.81  | | | REF_CLOSE: (1), (2), (6), (9), (11), (12), (13), (15), (17), (18), (22),
% 244.75/48.81  | | |            (23), (32) are inconsistent by sub-proof #797.
% 244.75/48.81  | | | 
% 244.75/48.81  | | End of split
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #542 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)   ~ (e24 = e20)
% 244.75/48.81    (2)   ~ (e23 = e21)
% 244.75/48.81    (3)  op2(e23, e21) = e24
% 244.75/48.81    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.81           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.81           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.81    (5)  op2(e23, e23) = e21
% 244.75/48.81    (6)  all_24_2 = e22
% 244.75/48.81    (7)   ~ (e23 = e22)
% 244.75/48.81    (8)   ~ (e22 = e20)
% 244.75/48.81    (9)  op2(e21, e23) = all_16_8
% 244.75/48.81    (10)  all_24_6 = e20
% 244.75/48.81    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (12)  all_24_21 = e23
% 244.75/48.81    (13)   ~ (e23 = e20)
% 244.75/48.81    (14)   ~ (all_16_7 = e23)
% 244.75/48.81    (15)  op2(e24, e23) = e22
% 244.75/48.81    (16)   ~ (e24 = e21)
% 244.75/48.81    (17)   ~ (e22 = e21)
% 244.75/48.81    (18)  op2(e23, e22) = e20
% 244.75/48.81    (19)  all_24_1 = e22
% 244.75/48.81    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.81            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.81    (21)   ~ (all_16_8 = e23)
% 244.75/48.81    (22)  op2(e22, e23) = all_16_7
% 244.75/48.81    (23)   ~ (e21 = e20)
% 244.75/48.81    (24)   ~ (e24 = e22)
% 244.75/48.81    (25)  all_24_17 = e23
% 244.75/48.81    (26)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.75/48.81            = e21)
% 244.75/48.81    (27)   ~ (e24 = e23)
% 244.75/48.81    (28)  op2(e23, e21) = all_10_1
% 244.75/48.81    (29)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.81            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.81    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.81            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.81            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.81    (31)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.81            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.81            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.81    (32)  all_24_3 = e21
% 244.75/48.81    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.81            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.81            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.81  
% 244.75/48.81  Begin of proof
% 244.75/48.81  | 
% 244.75/48.81  | BETA: splitting (26) gives:
% 244.75/48.81  | 
% 244.75/48.81  | Case 1:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (34)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (34) implies:
% 244.75/48.81  | |   (35)  all_24_6 = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (10), (23), (35) are inconsistent by sub-proof #793.
% 244.75/48.81  | | 
% 244.75/48.81  | Case 2:
% 244.75/48.81  | | 
% 244.75/48.81  | |   (36)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | ALPHA: (36) implies:
% 244.75/48.81  | |   (37)  all_24_7 = e21
% 244.75/48.81  | | 
% 244.75/48.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 244.75/48.81  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 244.75/48.81  | |            (25), (27), (28), (29), (30), (31), (32), (33), (37) are
% 244.75/48.81  | |            inconsistent by sub-proof #744.
% 244.75/48.81  | | 
% 244.75/48.81  | End of split
% 244.75/48.81  | 
% 244.75/48.81  End of proof
% 244.75/48.81  
% 244.75/48.81  Sub-proof #543 shows that the following formulas are inconsistent:
% 244.75/48.81  ----------------------------------------------------------------
% 244.75/48.81    (1)  all_24_24 = e20
% 244.75/48.81    (2)  all_24_16 = e24
% 244.75/48.81    (3)  op2(e22, unit2) = e22
% 244.75/48.81    (4)  op2(e23, unit2) = e23
% 244.75/48.81    (5)   ~ (e24 = e20)
% 244.75/48.81    (6)   ~ (e23 = e21)
% 244.75/48.81    (7)  op2(e23, e21) = e24
% 244.75/48.81    (8)  op2(e23, e23) = e21
% 244.75/48.81    (9)  all_24_2 = e22
% 244.75/48.81    (10)  all_24_19 = e22
% 244.75/48.81    (11)   ~ (e23 = e22)
% 244.75/48.81    (12)   ~ (e22 = e20)
% 244.75/48.81    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.81            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.81    (14)  op2(e23, e24) = e22
% 244.75/48.81    (15)   ~ (e23 = e20)
% 244.75/48.81    (16)   ~ (e24 = e21)
% 244.75/48.81    (17)   ~ (e22 = e21)
% 244.75/48.81    (18)  op2(e23, e22) = e20
% 244.75/48.81    (19)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.81    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.81            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.81            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.81    (21)   ~ (e21 = e20)
% 244.75/48.81    (22)   ~ (e24 = e22)
% 244.75/48.82    (23)   ~ (e24 = e23)
% 244.75/48.82    (24)  op2(e23, e21) = all_10_1
% 244.75/48.82    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.82            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.82            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.82    (26)  all_24_5 = e20
% 244.75/48.82    (27)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.75/48.82              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.75/48.82            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.82    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.82            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.82            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.82  
% 244.75/48.82  Begin of proof
% 244.75/48.82  | 
% 244.75/48.82  | BETA: splitting (27) gives:
% 244.75/48.82  | 
% 244.75/48.82  | Case 1:
% 244.75/48.82  | | 
% 244.75/48.82  | |   (29)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 244.75/48.82  | |           op2(e23, e20) = e21)
% 244.75/48.82  | | 
% 244.75/48.82  | | REF_CLOSE: (2), (6), (7), (8), (9), (11), (13), (15), (16), (18), (22),
% 244.75/48.82  | |            (23), (24), (25), (28), (29) are inconsistent by sub-proof #659.
% 244.75/48.82  | | 
% 244.75/48.82  | Case 2:
% 244.75/48.82  | | 
% 244.75/48.82  | |   (30)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 244.75/48.82  | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.82  | | 
% 244.75/48.82  | | BETA: splitting (30) gives:
% 244.75/48.82  | | 
% 244.75/48.82  | | Case 1:
% 244.75/48.82  | | | 
% 244.75/48.82  | | |   (31)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.75/48.82  | | | 
% 244.75/48.82  | | | REF_CLOSE: (3), (4), (7), (11), (13), (14), (15), (17), (18), (19), (23),
% 244.75/48.82  | | |            (24), (31) are inconsistent by sub-proof #797.
% 244.75/48.82  | | | 
% 244.75/48.82  | | Case 2:
% 244.75/48.82  | | | 
% 244.75/48.82  | | |   (32)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 244.75/48.82  | | |           op2(e20, e20) = e21)
% 244.75/48.82  | | | 
% 244.75/48.82  | | | BETA: splitting (32) gives:
% 244.75/48.82  | | | 
% 244.75/48.82  | | | Case 1:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (33)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 244.75/48.82  | | | |            (17), (18), (20), (22), (23), (24), (25), (26), (28), (33)
% 244.75/48.82  | | | |            are inconsistent by sub-proof #682.
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | Case 2:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (34)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | REF_CLOSE: (1), (21), (34) are inconsistent by sub-proof #736.
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | End of split
% 244.75/48.82  | | | 
% 244.75/48.82  | | End of split
% 244.75/48.82  | | 
% 244.75/48.82  | End of split
% 244.75/48.82  | 
% 244.75/48.82  End of proof
% 244.75/48.82  
% 244.75/48.82  Sub-proof #544 shows that the following formulas are inconsistent:
% 244.75/48.82  ----------------------------------------------------------------
% 244.75/48.82    (1)  op2(e24, e22) = all_16_10
% 244.75/48.82    (2)  op2(e24, e24) = all_12_2
% 244.75/48.82    (3)  op2(e23, e20) = e23
% 244.75/48.82    (4)  op2(e20, e23) = e23
% 244.75/48.82    (5)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.75/48.82           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.75/48.82           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.75/48.82    (6)   ~ (all_16_17 = all_6_2)
% 244.75/48.82    (7)  all_24_24 = e20
% 244.75/48.82    (8)   ~ (all_16_10 = e20)
% 244.75/48.82    (9)  op2(e22, all_4_2) = all_4_1
% 244.75/48.82    (10)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.75/48.82              e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.75/48.82            e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.75/48.82    (11)   ~ (all_16_17 = all_16_19)
% 244.75/48.82    (12)  all_20_12 = all_4_2
% 244.75/48.82    (13)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.75/48.82            = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.75/48.82            op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.75/48.82    (14)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.75/48.82            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.75/48.82            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.75/48.82    (15)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.75/48.82              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.75/48.82            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.82    (16)   ~ (all_16_20 = all_16_22)
% 244.75/48.82    (17)   ~ (all_16_15 = e24)
% 244.75/48.82    (18)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.75/48.82              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.75/48.82            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.75/48.82    (19)  op2(unit2, e24) = e24
% 244.75/48.82    (20)  op2(e23, unit2) = e23
% 244.75/48.82    (21)  op2(e21, e22) = all_16_13
% 244.75/48.82    (22)   ~ (all_16_4 = all_12_2)
% 244.75/48.82    (23)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.75/48.82              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.75/48.82            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.75/48.82    (24)   ~ (unit2 = e23)
% 244.75/48.82    (25)  op2(e20, e24) = all_16_4
% 244.75/48.82    (26)   ~ (all_16_14 = e23)
% 244.75/48.82    (27)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.75/48.82              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.75/48.82            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.75/48.82    (28)   ~ (all_16_14 = all_4_2)
% 244.75/48.82    (29)   ~ (all_16_22 = all_4_2)
% 244.75/48.82    (30)   ~ (e24 = e20)
% 244.75/48.82    (31)   ~ (all_16_20 = e23)
% 244.75/48.82    (32)   ~ (e23 = e21)
% 244.75/48.82    (33)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.75/48.82              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.75/48.82            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.75/48.82    (34)  op2(e23, e21) = e24
% 244.75/48.82    (35)   ~ (all_16_1 = e21)
% 244.75/48.82    (36)   ~ (all_16_19 = e20)
% 244.75/48.82    (37)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.82            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.82            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.82    (38)   ~ (all_16_13 = e23)
% 244.75/48.82    (39)  op2(e23, e23) = e21
% 244.75/48.82    (40)  op2(e22, e20) = all_16_22
% 244.75/48.82    (41)  op2(e22, e20) = e22
% 244.75/48.82    (42)  op2(e22, e24) = all_16_2
% 244.75/48.82    (43)  all_24_2 = e22
% 244.75/48.82    (44)   ~ (all_16_7 = all_4_2)
% 244.75/48.82    (45)  op2(e20, unit2) = e20
% 244.75/48.82    (46)   ~ (all_16_3 = e22)
% 244.75/48.82    (47)  op2(e21, e23) = all_16_8
% 244.75/48.82    (48)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.75/48.82            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.75/48.82            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.75/48.82    (49)   ~ (all_6_2 = e24)
% 244.75/48.82    (50)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.82            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.82    (51)   ~ (all_16_22 = all_16_23)
% 244.75/48.82    (52)   ~ (all_16_13 = e20)
% 244.75/48.82    (53)  op2(e23, e24) = e22
% 244.75/48.82    (54)  all_24_21 = e23
% 244.75/48.82    (55)   ~ (all_16_22 = e20)
% 244.75/48.82    (56)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.75/48.82            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.75/48.82            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.75/48.82    (57)   ~ (e23 = e20)
% 244.75/48.82    (58)   ~ (all_16_7 = e23)
% 244.75/48.82    (59)  op2(e24, e23) = e22
% 244.75/48.82    (60)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.75/48.82              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.75/48.82            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.82    (61)   ~ (all_16_10 = e22)
% 244.75/48.82    (62)  op2(e24, e22) = e23
% 244.75/48.82    (63)   ~ (all_16_8 = all_16_13)
% 244.75/48.82    (64)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 & op2(e21,
% 244.75/48.82              e23) = e23) | (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15 =
% 244.75/48.82            e23 & op2(e21, e21) = e23) | (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.75/48.82    (65)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.75/48.82            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.75/48.82            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.82    (66)   ~ (e24 = e21)
% 244.75/48.82    (67)  all_20_13 = all_16_17
% 244.75/48.82    (68)  op2(e20, e22) = all_16_14
% 244.75/48.82    (69)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.75/48.82              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.75/48.82            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.75/48.82    (70)   ~ (all_16_4 = e20)
% 244.75/48.82    (71)   ~ (all_16_20 = e20)
% 244.75/48.82    (72)   ~ (e22 = e21)
% 244.75/48.82    (73)  all_20_13 = e24 | all_20_13 = e23 | all_20_13 = e22 | all_20_13 = e21 |
% 244.75/48.82          all_20_13 = e20
% 244.75/48.82    (74)   ~ (all_16_2 = all_16_17)
% 244.75/48.82    (75)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.75/48.82            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.75/48.82            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.75/48.82    (76)   ~ (all_16_1 = e20)
% 244.75/48.82    (77)   ~ (all_16_17 = e24)
% 244.75/48.82    (78)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.75/48.82              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.75/48.82            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.75/48.82    (79)  all_20_12 = e24 | all_20_12 = e22 | all_20_12 = e21 | all_20_12 = e20
% 244.75/48.82    (80)   ~ (all_16_13 = all_16_23)
% 244.75/48.82    (81)  op2(e24, unit2) = e24
% 244.75/48.82    (82)  op2(e23, e22) = e20
% 244.75/48.82    (83)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.75/48.82            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.75/48.82              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.75/48.82            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 244.75/48.82            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 244.75/48.82            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 244.75/48.82            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.75/48.82          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 244.75/48.82            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.75/48.82              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 244.75/48.82            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 244.75/48.82            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 244.75/48.82            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 244.75/48.82            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.75/48.82          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 244.75/48.82            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.75/48.82              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 244.75/48.82            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 244.75/48.82              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 244.75/48.82            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.75/48.82              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.75/48.82          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.75/48.82            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.75/48.82              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 244.75/48.82            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 244.75/48.82              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 244.75/48.82            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.75/48.82              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.75/48.82          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.75/48.82            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.75/48.82              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 244.75/48.82            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 244.75/48.82              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 244.75/48.82            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.75/48.82              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 244.75/48.82          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 244.75/48.82            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.75/48.82              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 244.75/48.82            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 244.75/48.82              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 244.75/48.82            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 244.75/48.82              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.75/48.82          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 244.75/48.82            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.75/48.82              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 244.75/48.82            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 244.75/48.82              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 244.75/48.82            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 244.75/48.82              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.75/48.82          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 244.75/48.82            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.75/48.82              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 244.75/48.82            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 244.75/48.82              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 244.75/48.82            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.75/48.82              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.75/48.82          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 244.75/48.82            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.75/48.82              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 244.75/48.82            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 244.75/48.82              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 244.75/48.82            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.75/48.82              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.75/48.82          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 244.75/48.82            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.75/48.82              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 244.75/48.82            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 244.75/48.82              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 244.75/48.82            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.75/48.82              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.75/48.82    (84)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 244.75/48.82            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 244.75/48.82            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 244.75/48.82    (85)   ~ (all_16_1 = e23)
% 244.75/48.82    (86)   ~ (all_16_15 = e23)
% 244.75/48.82    (87)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.75/48.82              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.75/48.82            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.75/48.82    (88)   ~ (all_4_2 = e23)
% 244.75/48.82    (89)   ~ (all_12_2 = e22)
% 244.75/48.82    (90)   ~ (all_16_8 = all_6_2)
% 244.75/48.82    (91)   ~ (all_16_14 = e20)
% 244.75/48.82    (92)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.75/48.82              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.75/48.82            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.75/48.82    (93)   ~ (all_16_15 = e22)
% 244.75/48.82    (94)   ~ (all_16_23 = e20)
% 244.75/48.82    (95)   ~ (all_16_4 = all_16_19)
% 244.75/48.82    (96)   ~ (all_16_2 = all_16_7)
% 244.75/48.82    (97)  op2(e24, e20) = all_16_20
% 244.75/48.82    (98)   ~ (all_16_19 = e23)
% 244.75/48.82    (99)   ~ (all_16_20 = all_12_2)
% 244.75/48.82    (100)  all_24_1 = e22
% 244.75/48.82    (101)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.75/48.82               e23) = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 =
% 244.75/48.82             e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.82    (102)   ~ (all_16_19 = all_6_2)
% 244.75/48.82    (103)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.75/48.82    (104)   ~ (all_16_17 = all_16_22)
% 244.75/48.82    (105)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 = e20
% 244.75/48.82    (106)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 & op2(e23,
% 244.75/48.82               e21) = e23) | (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_15
% 244.75/48.82             = e23 & op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20, e21) =
% 244.75/48.82             e23)
% 244.75/48.82    (107)  all_20_14 = all_16_22
% 244.75/48.82    (108)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.75/48.82               e22) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 =
% 244.75/48.82             e24 & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.75/48.82    (109)   ~ (all_16_17 = all_4_2)
% 244.75/48.82    (110)  all_24_4 = e23
% 244.75/48.82    (111)  op2(e22, e21) = all_16_17
% 244.75/48.82    (112)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 244.75/48.82               e23) = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 =
% 244.75/48.82             e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.82    (113)   ~ (all_16_22 = e23)
% 244.75/48.82    (114)   ~ (all_16_8 = e23)
% 244.75/48.82    (115)  op2(e22, e23) = all_16_7
% 244.75/48.82    (116)   ~ (all_16_19 = e24)
% 244.75/48.82    (117)  op2(unit2, e22) = e22
% 244.75/48.82    (118)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.75/48.82               e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15
% 244.75/48.82             = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 244.75/48.82             e20)
% 244.75/48.82    (119)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22,
% 244.75/48.82               e23) = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 =
% 244.75/48.82             e23 & op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.75/48.82    (120)  op2(e21, e21) = all_6_2
% 244.75/48.82    (121)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 244.75/48.82               e23) = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 =
% 244.75/48.82             e22 & op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.82    (122)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.75/48.82    (123)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 244.75/48.82               e23) = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 =
% 244.75/48.82             e24 & op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.75/48.82    (124)   ~ (all_16_15 = all_16_17)
% 244.75/48.82    (125)   ~ (all_16_4 = e22)
% 244.75/48.82    (126)   ~ (e21 = e20)
% 244.75/48.82    (127)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 244.75/48.82               e22) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 =
% 244.75/48.82             e21 & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.82    (128)  op2(e24, e21) = all_16_15
% 244.75/48.82    (129)   ~ (all_16_7 = all_16_17)
% 244.75/48.82    (130)   ~ (e24 = e22)
% 244.75/48.82    (131)  op2(e21, e24) = all_16_3
% 244.75/48.82    (132)  all_24_17 = e23
% 244.75/48.82    (133)  op2(e23, e24) = all_16_1
% 244.75/48.82    (134)   ~ (all_16_23 = e23)
% 244.75/48.82    (135)   ~ (e24 = e23)
% 244.75/48.82    (136)  all_24_18 = e22
% 244.75/48.82    (137)  op2(e23, e21) = all_10_1
% 244.75/48.82    (138)   ~ (all_12_2 = e23)
% 244.75/48.82    (139)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 244.75/48.82               e23) = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 =
% 244.75/48.82             e23 & op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.82    (140)  op2(all_4_1, e22) = all_4_0
% 244.75/48.82    (141)  op2(e21, unit2) = e21
% 244.75/48.82    (142)  op2(e22, e22) = all_4_2
% 244.75/48.82    (143)  op2(e20, e21) = all_16_19
% 244.75/48.82    (144)   ~ (all_16_8 = e22)
% 244.75/48.82    (145)   ~ (all_16_20 = all_16_23)
% 244.75/48.82    (146)  all_20_5 = all_16_1
% 244.75/48.82    (147)  op2(e21, e20) = all_16_23
% 244.75/48.82    (148)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 244.75/48.82               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 244.75/48.82             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.82    (149)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.75/48.82               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 244.75/48.82             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.82    (150)  all_24_5 = e20
% 244.75/48.82    (151)   ~ (all_16_2 = all_16_22)
% 244.75/48.82    (152)   ~ (all_16_2 = all_4_2)
% 244.75/48.82    (153)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.75/48.82               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.75/48.82             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.75/48.82             e21)
% 244.75/48.82    (154)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.75/48.82               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.75/48.82             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.82    (155)  all_24_3 = e21
% 244.75/48.82    (156)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.75/48.82               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.75/48.82             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.82  
% 244.75/48.82  Begin of proof
% 244.75/48.82  | 
% 244.75/48.82  | GROUND_INST: instantiating (50) with all_16_22, e22, e20, e22, simplifying
% 244.75/48.82  |              with (40), (41) gives:
% 244.75/48.82  |   (157)  all_16_22 = e22
% 244.75/48.82  | 
% 244.75/48.82  | REDUCE: (104), (157) imply:
% 244.75/48.82  |   (158)   ~ (all_16_17 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | REDUCE: (16), (157) imply:
% 244.75/48.82  |   (159)   ~ (all_16_20 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | REDUCE: (51), (157) imply:
% 244.75/48.82  |   (160)   ~ (all_16_23 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | SIMP: (160) implies:
% 244.75/48.82  |   (161)   ~ (all_16_23 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | REDUCE: (113), (157) imply:
% 244.75/48.82  |   (162)   ~ (e23 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | SIMP: (162) implies:
% 244.75/48.82  |   (163)   ~ (e23 = e22)
% 244.75/48.82  | 
% 244.75/48.82  | REDUCE: (55), (157) imply:
% 244.75/48.82  |   (164)   ~ (e22 = e20)
% 244.75/48.82  | 
% 244.75/48.82  | BETA: splitting (73) gives:
% 244.75/48.82  | 
% 244.75/48.82  | Case 1:
% 244.75/48.82  | | 
% 244.75/48.82  | |   (165)  all_20_13 = e23
% 244.75/48.82  | | 
% 244.75/48.82  | | COMBINE_EQS: (67), (165) imply:
% 244.75/48.82  | |   (166)  all_16_17 = e23
% 244.75/48.82  | | 
% 244.75/48.82  | | REDUCE: (74), (166) imply:
% 244.75/48.82  | |   (167)   ~ (all_16_2 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | REDUCE: (11), (166) imply:
% 244.75/48.82  | |   (168)   ~ (all_16_19 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | REDUCE: (6), (166) imply:
% 244.75/48.82  | |   (169)   ~ (all_6_2 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | SIMP: (169) implies:
% 244.75/48.82  | |   (170)   ~ (all_6_2 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | REDUCE: (109), (166) imply:
% 244.75/48.82  | |   (171)   ~ (all_4_2 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | REDUCE: (77), (166) imply:
% 244.75/48.82  | |   (172)   ~ (e24 = e23)
% 244.75/48.82  | | 
% 244.75/48.82  | | BETA: splitting (119) gives:
% 244.75/48.82  | | 
% 244.75/48.82  | | Case 1:
% 244.75/48.82  | | | 
% 244.75/48.82  | | |   (173)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 &
% 244.75/48.82  | | |            op2(e22, e23) = e23)
% 244.75/48.82  | | | 
% 244.75/48.82  | | | BETA: splitting (173) gives:
% 244.75/48.82  | | | 
% 244.75/48.82  | | | Case 1:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (174)  all_24_6 = e23 & op2(e22, e24) = e23
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | REF_CLOSE: (42), (50), (167), (174) are inconsistent by sub-proof #913.
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | Case 2:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (175)  all_24_7 = e23 & op2(e22, e23) = e23
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | REF_CLOSE: (50), (58), (115), (175) are inconsistent by sub-proof #954.
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | End of split
% 244.75/48.82  | | | 
% 244.75/48.82  | | Case 2:
% 244.75/48.82  | | | 
% 244.75/48.82  | | |   (176)  (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 &
% 244.75/48.82  | | |            op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.75/48.82  | | | 
% 244.75/48.82  | | | BETA: splitting (176) gives:
% 244.75/48.82  | | | 
% 244.75/48.82  | | | Case 1:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (177)  all_24_8 = e23 & op2(e22, e22) = e23
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | REF_CLOSE: (50), (88), (142), (177) are inconsistent by sub-proof #669.
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | Case 2:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | |   (178)  (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_18 = e23 &
% 244.75/48.82  | | | |            op2(e22, e20) = e23)
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | BETA: splitting (178) gives:
% 244.75/48.82  | | | | 
% 244.75/48.82  | | | | Case 1:
% 244.75/48.82  | | | | | 
% 244.75/48.82  | | | | |   (179)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.75/48.82  | | | | | 
% 244.75/48.82  | | | | | ALPHA: (179) implies:
% 244.75/48.82  | | | | |   (180)  all_24_11 = e23
% 244.75/48.82  | | | | |   (181)  op2(e22, e21) = e23
% 244.75/48.82  | | | | | 
% 244.75/48.82  | | | | | BETA: splitting (64) gives:
% 244.75/48.82  | | | | | 
% 244.75/48.82  | | | | | Case 1:
% 244.75/48.82  | | | | | | 
% 244.75/48.82  | | | | | |   (182)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23
% 244.75/48.82  | | | | | |            & op2(e21, e23) = e23)
% 244.75/48.82  | | | | | | 
% 244.75/48.82  | | | | | | BETA: splitting (182) gives:
% 244.75/48.82  | | | | | | 
% 244.75/48.82  | | | | | | Case 1:
% 244.75/48.82  | | | | | | | 
% 244.75/48.82  | | | | | | |   (183)  all_24_12 = e23 & op2(e21, e24) = e23
% 244.75/48.82  | | | | | | | 
% 244.75/48.82  | | | | | | | ALPHA: (183) implies:
% 244.75/48.82  | | | | | | |   (184)  all_24_12 = e23
% 244.75/48.82  | | | | | | |   (185)  op2(e21, e24) = e23
% 244.75/48.82  | | | | | | | 
% 244.75/48.82  | | | | | | | BETA: splitting (84) gives:
% 244.75/48.82  | | | | | | | 
% 244.75/48.82  | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | |   (186)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 =
% 244.75/48.82  | | | | | | | |            e22 & op2(e23, e22) = e22)
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | | REF_CLOSE: (1), (50), (61), (82), (164), (186) are inconsistent
% 244.75/48.82  | | | | | | | |            by sub-proof #668.
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | |   (187)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 =
% 244.75/48.82  | | | | | | | |            e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 244.75/48.82  | | | | | | | |            op2(e20, e22) = e22)
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | | BETA: splitting (187) gives:
% 244.75/48.82  | | | | | | | | 
% 244.75/48.82  | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | 
% 244.75/48.82  | | | | | | | | |   (188)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.75/48.82  | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | ALPHA: (188) implies:
% 244.75/48.82  | | | | | | | | |   (189)  all_24_8 = e22
% 244.75/48.82  | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | BETA: splitting (149) gives:
% 244.75/48.82  | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | |   (190)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.75/48.82  | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 244.75/48.82  | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | BETA: splitting (190) gives:
% 244.75/48.82  | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | |   (191)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.75/48.82  | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | ALPHA: (191) implies:
% 244.75/48.82  | | | | | | | | | | |   (192)  all_24_6 = e21
% 244.75/48.82  | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | BETA: splitting (65) gives:
% 244.75/48.82  | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | |   (193)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.75/48.82  | | | | | | | | | | | |            = e20 & op2(e23, e24) = e20)
% 244.75/48.82  | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | BETA: splitting (193) gives:
% 244.75/48.82  | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | |   (194)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.75/48.82  | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | ALPHA: (194) implies:
% 244.75/48.82  | | | | | | | | | | | | |   (195)  all_24_0 = e20
% 244.75/48.82  | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | BETA: splitting (101) gives:
% 244.75/48.82  | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | |   (196)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.75/48.82  | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | |   (197)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 244.75/48.82  | | | | | | | | | | | | | | |   (198)  all_24_0 = e24
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (14), (19), (20), (24), (25), (30),
% 244.75/48.82  | | | | | | | | | | | | | | |            (32), (33), (34), (36), (37), (39), (43), (45),
% 244.75/48.82  | | | | | | | | | | | | | | |            (47), (50), (53), (56), (57), (58), (59), (61),
% 244.75/48.82  | | | | | | | | | | | | | | |            (65), (66), (68), (70), (72), (75), (81), (82),
% 244.75/48.82  | | | | | | | | | | | | | | |            (91), (103), (110), (114), (115), (116), (117),
% 244.75/48.82  | | | | | | | | | | | | | | |            (121), (126), (130), (132), (135), (137), (139),
% 244.75/48.82  | | | | | | | | | | | | | | |            (143), (148), (150), (156), (163), (164), (184),
% 244.75/48.82  | | | | | | | | | | | | | | |            (198) are inconsistent by sub-proof #661.
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | |   (199)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | REF_CLOSE: (100), (130), (199) are inconsistent by sub-proof
% 244.75/48.82  | | | | | | | | | | | | | | |            #870.
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | End of split
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | |   (200)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.75/48.82  | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.75/48.82  | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.75/48.82  | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | |   (201)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 244.75/48.82  | | | | | | | | | | | | | | |   (202)  op2(e24, e22) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | REF_CLOSE: (50), (62), (135), (202) are inconsistent by
% 244.75/48.82  | | | | | | | | | | | | | | |            sub-proof #660.
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | |   (203)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.75/48.82  | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 244.75/48.82  | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | |   (204)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (50), (128), (204) are inconsistent by
% 244.75/48.82  | | | | | | | | | | | | | | | |            sub-proof #862.
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | |   (205)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 244.75/48.82  | | | | | | | | | | | | | | | |   (206)  all_24_16 = e24
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 244.75/48.82  | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | |   (207)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.75/48.82  | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (34), (39), (43), (50), (57), (66), (82),
% 244.75/48.82  | | | | | | | | | | | | | | | | |            (130), (135), (137), (148), (156), (163), (206),
% 244.75/48.82  | | | | | | | | | | | | | | | | |            (207) are inconsistent by sub-proof #659.
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | |   (208)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.75/48.82  | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.75/48.82  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 244.75/48.82  | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | |   (209)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (50), (72), (209) are inconsistent by
% 244.75/48.82  | | | | | | | | | | | | | | | | | |            sub-proof #740.
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | |   (210)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.75/48.82  | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | |   (211)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | |   (212)  all_24_19 = e21
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | |   (213)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | |          (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.75/48.82  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (214)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (215)  all_24_9 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (39), (43), (50), (56), (57),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            (59), (66), (72), (82), (110), (121), (126),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            (130), (132), (135), (137), (148), (150), (156),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            (163), (164), (195), (206), (215) are inconsistent
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #657.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (216)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (217)  op2(e23, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (50), (130), (137), (217) are inconsistent
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #963.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | |   (218)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (219)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (220)  all_24_11 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (220) imply:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (221)  e23 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (34), (35), (39), (50), (57), (76), (82),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            (85), (122), (132), (133), (135), (137), (146),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            (156), (163), (221) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |            #810.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |   (222)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |   (223)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (12), (14), (15), (16), (17), (18), (23), (25),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (34), (36), (37), (39), (42), (43), (44), (47),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (50), (53), (54), (56), (57), (58),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (65), (66), (68), (69), (71),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (78), (79), (82), (83), (86), (87),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (93), (97), (99), (100), (101), (105),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (107), (108), (110), (112), (113), (114), (115),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (116), (118), (120), (121), (125), (126), (127),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (132), (135), (137), (138), (139),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (140), (142), (143), (144), (148), (149), (150),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (151), (152), (153), (154), (155), (156), (159),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (170), (180), (181), (184), (185),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |            (223) are inconsistent by sub-proof #584.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |   (224)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |   (225)  all_24_23 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | |   (226)  op2(e20, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (47), (50), (131), (144), (227) are
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_24_14 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (8), (14), (17), (19), (20), (22),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (23), (24), (25), (30), (31), (32), (33), (34),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (36), (37), (39), (41), (43), (45), (47), (49),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (50), (53), (56), (57), (58), (59), (60), (61),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (62), (65), (66), (68), (69), (70), (72), (75),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (78), (81), (82), (91), (94), (97), (98), (100),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (101), (102), (103), (110), (114), (115), (116),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (117), (118), (120), (121), (126), (128), (132),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (134), (135), (137), (139), (141), (143), (145),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (147), (148), (150), (153), (156), (159), (161),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (180), (184), (225), (226), (230) are
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #579.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (12), (14), (15), (16), (17), (18), (23), (25),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (36), (37), (39), (42), (43), (44), (47),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (50), (53), (54), (56), (57), (58),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (65), (66), (68), (69), (71),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (75), (78), (79), (82), (83), (86), (87),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (93), (97), (99), (100), (101), (105),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (108), (110), (112), (113), (114), (115),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (118), (120), (121), (125), (126), (127),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (132), (135), (137), (138), (139),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (142), (143), (144), (148), (149), (150),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (152), (153), (154), (155), (156), (159),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (170), (180), (181), (184), (185),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (232) are inconsistent by sub-proof #584.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_24_19 = e22
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (234) imply:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  e22 = e21
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (235) imply:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_24_2 = e21
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (39), (50), (57), (66), (72),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (121), (130), (135), (137), (148), (150),
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (163), (164), (236) are inconsistent by
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1298.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | |   (237)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (126), (237) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | | | | | | | | | |            #736.
% 244.75/48.83  | | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (238)  all_24_2 = e20 & op2(e23, e24) = e20
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | ALPHA: (238) implies:
% 244.75/48.83  | | | | | | | | | | | | |   (239)  all_24_2 = e20
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (37), (39), (50), (57), (66),
% 244.75/48.83  | | | | | | | | | | | | |            (72), (82), (121), (126), (130), (135), (137),
% 244.75/48.83  | | | | | | | | | | | | |            (148), (156), (163), (164), (239) are inconsistent
% 244.75/48.83  | | | | | | | | | | | | |            by sub-proof #1307.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (240)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.75/48.83  | | | | | | | | | | | |          (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.75/48.83  | | | | | | | | | | | |          (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | BETA: splitting (240) gives:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (241)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (126), (192), (241) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | | | |            #578.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (242)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.75/48.83  | | | | | | | | | | | | |          (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (25), (30), (32), (34), (37), (39), (43), (50),
% 244.75/48.83  | | | | | | | | | | | | |            (57), (66), (70), (72), (82), (126), (130), (132),
% 244.75/48.83  | | | | | | | | | | | | |            (135), (137), (148), (156), (163), (184), (242)
% 244.75/48.83  | | | | | | | | | | | | |            are inconsistent by sub-proof #662.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (243)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | ALPHA: (243) implies:
% 244.75/48.83  | | | | | | | | | | |   (244)  all_24_7 = e21
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (37), (39), (43), (47), (50),
% 244.75/48.83  | | | | | | | | | | |            (54), (57), (58), (59), (66), (72), (82), (100),
% 244.75/48.83  | | | | | | | | | | |            (112), (114), (115), (126), (130), (132), (135),
% 244.75/48.83  | | | | | | | | | | |            (137), (139), (148), (154), (155), (156), (163),
% 244.75/48.83  | | | | | | | | | | |            (164), (244) are inconsistent by sub-proof #744.
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (245)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11
% 244.75/48.83  | | | | | | | | | |            = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 244.75/48.83  | | | | | | | | | |            op2(e22, e20) = e21)
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | REF_CLOSE: (30), (32), (34), (39), (41), (43), (50), (57),
% 244.75/48.83  | | | | | | | | | |            (66), (72), (82), (121), (130), (132), (135),
% 244.75/48.83  | | | | | | | | | |            (137), (148), (150), (156), (163), (164), (180),
% 244.75/48.83  | | | | | | | | | |            (189), (245) are inconsistent by sub-proof #577.
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | |   (246)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22
% 244.75/48.83  | | | | | | | | |            = e22 & op2(e20, e22) = e22)
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | BETA: splitting (246) gives:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (247)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | ALPHA: (247) implies:
% 244.75/48.83  | | | | | | | | | |   (248)  all_24_14 = e22
% 244.75/48.83  | | | | | | | | | |   (249)  op2(e21, e22) = e22
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_13, e22, e22, e21,
% 244.75/48.83  | | | | | | | | | |              simplifying with (21), (249) gives:
% 244.75/48.83  | | | | | | | | | |   (250)  all_16_13 = e22
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | BETA: splitting (92) gives:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (251)  (all_24_9 = e22 & op2(e24, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_10 = e22 & op2(e23, e21) = e22)
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (14), (17), (18), (25), (30), (32),
% 244.75/48.83  | | | | | | | | | | |            (33), (34), (37), (39), (43), (47), (50), (53),
% 244.75/48.83  | | | | | | | | | | |            (56), (57), (58), (59), (62), (65), (66), (69),
% 244.75/48.83  | | | | | | | | | | |            (72), (75), (82), (87), (100), (101), (110),
% 244.75/48.83  | | | | | | | | | | |            (112), (114), (115), (116), (121), (125), (126),
% 244.75/48.83  | | | | | | | | | | |            (128), (130), (132), (135), (137), (139), (143),
% 244.75/48.83  | | | | | | | | | | |            (148), (150), (154), (155), (156), (163), (164),
% 244.75/48.83  | | | | | | | | | | |            (180), (184), (251) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | |            #568.
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (252)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | BETA: splitting (252) gives:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (253)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | REF_CLOSE: (32), (34), (35), (39), (50), (57), (76), (82),
% 244.75/48.83  | | | | | | | | | | | |            (85), (122), (132), (133), (135), (137), (146),
% 244.75/48.83  | | | | | | | | | | | |            (156), (163), (180), (253) are inconsistent by
% 244.75/48.83  | | | | | | | | | | | |            sub-proof #567.
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (254)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | BETA: splitting (254) gives:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (255)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10),
% 244.75/48.83  | | | | | | | | | | | | |            (12), (14), (15), (16), (17), (18), (23), (25),
% 244.75/48.83  | | | | | | | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33),
% 244.75/48.83  | | | | | | | | | | | | |            (34), (36), (37), (39), (42), (43), (44), (47),
% 244.75/48.83  | | | | | | | | | | | | |            (48), (49), (50), (53), (54), (56), (57), (58),
% 244.75/48.83  | | | | | | | | | | | | |            (59), (60), (62), (65), (66), (68), (69), (71),
% 244.75/48.83  | | | | | | | | | | | | |            (72), (75), (78), (79), (82), (83), (86), (87),
% 244.75/48.83  | | | | | | | | | | | | |            (88), (89), (93), (97), (99), (100), (101), (105),
% 244.75/48.83  | | | | | | | | | | | | |            (107), (108), (110), (112), (113), (114), (115),
% 244.75/48.83  | | | | | | | | | | | | |            (116), (118), (120), (121), (125), (126), (127),
% 244.75/48.83  | | | | | | | | | | | | |            (128), (130), (132), (135), (137), (138), (139),
% 244.75/48.83  | | | | | | | | | | | | |            (140), (142), (143), (144), (148), (149), (150),
% 244.75/48.83  | | | | | | | | | | | | |            (151), (152), (153), (154), (155), (156), (159),
% 244.75/48.83  | | | | | | | | | | | | |            (163), (164), (170), (180), (181), (184), (185),
% 244.75/48.83  | | | | | | | | | | | | |            (255) are inconsistent by sub-proof #584.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (256)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | ALPHA: (256) implies:
% 244.75/48.83  | | | | | | | | | | | | |   (257)  all_24_23 = e22
% 244.75/48.83  | | | | | | | | | | | | |   (258)  op2(e20, e21) = e22
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (8), (14), (17), (19), (20), (22),
% 244.75/48.83  | | | | | | | | | | | | |            (23), (24), (25), (30), (31), (32), (33), (34),
% 244.75/48.83  | | | | | | | | | | | | |            (36), (37), (39), (41), (43), (45), (47), (49),
% 244.75/48.83  | | | | | | | | | | | | |            (50), (53), (56), (57), (58), (59), (60), (61),
% 244.75/48.83  | | | | | | | | | | | | |            (62), (65), (66), (68), (69), (70), (72), (75),
% 244.75/48.83  | | | | | | | | | | | | |            (78), (81), (82), (91), (94), (97), (98), (100),
% 244.75/48.83  | | | | | | | | | | | | |            (101), (102), (103), (110), (114), (115), (116),
% 244.75/48.83  | | | | | | | | | | | | |            (117), (118), (120), (121), (126), (128), (132),
% 244.75/48.83  | | | | | | | | | | | | |            (134), (135), (137), (139), (141), (143), (145),
% 244.75/48.83  | | | | | | | | | | | | |            (147), (148), (150), (153), (156), (159), (161),
% 244.75/48.83  | | | | | | | | | | | | |            (170), (180), (184), (248), (257), (258) are
% 244.75/48.83  | | | | | | | | | | | | |            inconsistent by sub-proof #579.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (259)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | ALPHA: (259) implies:
% 244.75/48.83  | | | | | | | | | |   (260)  op2(e20, e22) = e22
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | BETA: splitting (60) gives:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (261)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | REF_CLOSE: (1), (7), (19), (20), (24), (30), (32), (33),
% 244.75/48.83  | | | | | | | | | | |            (34), (36), (39), (43), (45), (47), (50), (57),
% 244.75/48.83  | | | | | | | | | | |            (58), (59), (61), (66), (68), (72), (82), (91),
% 244.75/48.83  | | | | | | | | | | |            (103), (114), (115), (116), (117), (130), (132),
% 244.75/48.83  | | | | | | | | | | |            (135), (137), (139), (143), (148), (156), (163),
% 244.75/48.83  | | | | | | | | | | |            (261) are inconsistent by sub-proof #764.
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (262)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.75/48.83  | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | BETA: splitting (262) gives:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (263)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | REF_CLOSE: (50), (72), (260), (263) are inconsistent by
% 244.75/48.83  | | | | | | | | | | | |            sub-proof #763.
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (264)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.75/48.83  | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | BETA: splitting (264) gives:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (265)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | ALPHA: (265) implies:
% 244.75/48.83  | | | | | | | | | | | | |   (266)  all_24_23 = e21
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10),
% 244.75/48.83  | | | | | | | | | | | | |            (12), (14), (15), (16), (17), (18), (23), (25),
% 244.75/48.83  | | | | | | | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33),
% 244.75/48.83  | | | | | | | | | | | | |            (34), (35), (36), (37), (39), (42), (43), (44),
% 244.75/48.83  | | | | | | | | | | | | |            (47), (48), (49), (50), (53), (54), (56), (57),
% 244.75/48.83  | | | | | | | | | | | | |            (58), (59), (60), (62), (65), (66), (68), (69),
% 244.75/48.83  | | | | | | | | | | | | |            (71), (72), (75), (76), (78), (79), (82), (83),
% 244.75/48.83  | | | | | | | | | | | | |            (85), (86), (87), (88), (89), (92), (93), (97),
% 244.75/48.83  | | | | | | | | | | | | |            (99), (100), (101), (105), (107), (108), (110),
% 244.75/48.83  | | | | | | | | | | | | |            (112), (113), (114), (115), (116), (118), (120),
% 244.75/48.83  | | | | | | | | | | | | |            (121), (122), (125), (126), (127), (128), (130),
% 244.75/48.83  | | | | | | | | | | | | |            (132), (133), (135), (137), (138), (139), (140),
% 244.75/48.83  | | | | | | | | | | | | |            (142), (143), (144), (146), (148), (149), (150),
% 244.75/48.83  | | | | | | | | | | | | |            (151), (152), (153), (154), (155), (156), (159),
% 244.75/48.83  | | | | | | | | | | | | |            (163), (164), (170), (180), (181), (184), (185),
% 244.75/48.83  | | | | | | | | | | | | |            (266) are inconsistent by sub-proof #566.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (267)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (7), (126), (267) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | | | |            #736.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | End of split
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | Case 2:
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | |   (268)  all_24_13 = e23 & op2(e21, e23) = e23
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | | ALPHA: (268) implies:
% 244.75/48.83  | | | | | | |   (269)  all_24_13 = e23
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | | REF_CLOSE: (30), (32), (34), (37), (39), (43), (50), (54), (57),
% 244.75/48.83  | | | | | | |            (59), (66), (72), (82), (100), (112), (126), (130),
% 244.75/48.83  | | | | | | |            (132), (135), (137), (148), (154), (155), (156), (163),
% 244.75/48.83  | | | | | | |            (164), (269) are inconsistent by sub-proof #842.
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | End of split
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | Case 2:
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | |   (270)  (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15 = e23
% 244.75/48.83  | | | | | |            & op2(e21, e21) = e23) | (all_24_19 = e23 & op2(e21, e20)
% 244.75/48.83  | | | | | |            = e23)
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | | REF_CLOSE: (21), (38), (50), (120), (134), (147), (170), (270) are
% 244.75/48.83  | | | | | |            inconsistent by sub-proof #565.
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | End of split
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | Case 2:
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | |   (271)  all_24_18 = e23 & op2(e22, e20) = e23
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | | REF_CLOSE: (40), (50), (113), (271) are inconsistent by sub-proof
% 244.75/48.83  | | | | |            #808.
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | End of split
% 244.75/48.83  | | | | 
% 244.75/48.83  | | | End of split
% 244.75/48.83  | | | 
% 244.75/48.83  | | End of split
% 244.75/48.83  | | 
% 244.75/48.83  | Case 2:
% 244.75/48.83  | | 
% 244.75/48.83  | |   (272)   ~ (all_20_13 = e23)
% 244.75/48.83  | | 
% 244.75/48.83  | | REDUCE: (67), (272) imply:
% 244.75/48.83  | |   (273)   ~ (all_16_17 = e23)
% 244.75/48.83  | | 
% 244.75/48.83  | | BETA: splitting (119) gives:
% 244.75/48.83  | | 
% 244.75/48.83  | | Case 1:
% 244.75/48.83  | | | 
% 244.75/48.83  | | |   (274)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 &
% 244.75/48.83  | | |            op2(e22, e23) = e23)
% 244.75/48.83  | | | 
% 244.75/48.83  | | | BETA: splitting (274) gives:
% 244.75/48.83  | | | 
% 244.75/48.83  | | | Case 1:
% 244.75/48.83  | | | | 
% 244.75/48.83  | | | |   (275)  all_24_6 = e23 & op2(e22, e24) = e23
% 244.75/48.83  | | | | 
% 244.75/48.83  | | | | ALPHA: (275) implies:
% 244.75/48.83  | | | |   (276)  all_24_6 = e23
% 244.75/48.83  | | | |   (277)  op2(e22, e24) = e23
% 244.75/48.83  | | | | 
% 244.75/48.83  | | | | BETA: splitting (106) gives:
% 244.75/48.83  | | | | 
% 244.75/48.83  | | | | Case 1:
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | |   (278)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 &
% 244.75/48.83  | | | | |            op2(e23, e21) = e23)
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | | REF_CLOSE: (34), (50), (86), (128), (135), (137), (278) are
% 244.75/48.83  | | | | |            inconsistent by sub-proof #564.
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | Case 2:
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | |   (279)  (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_15 = e23 &
% 244.75/48.83  | | | | |            op2(e21, e21) = e23) | (all_24_23 = e23 & op2(e20, e21) =
% 244.75/48.83  | | | | |            e23)
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | | BETA: splitting (279) gives:
% 244.75/48.83  | | | | | 
% 244.75/48.83  | | | | | Case 1:
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | |   (280)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | | REF_CLOSE: (50), (111), (273), (280) are inconsistent by sub-proof
% 244.75/48.83  | | | | | |            #809.
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | Case 2:
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | |   (281)  (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_23 = e23
% 244.75/48.83  | | | | | |            & op2(e20, e21) = e23)
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | | BETA: splitting (281) gives:
% 244.75/48.83  | | | | | | 
% 244.75/48.83  | | | | | | Case 1:
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | |   (282)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | | ALPHA: (282) implies:
% 244.75/48.83  | | | | | | |   (283)  all_24_15 = e23
% 244.75/48.83  | | | | | | |   (284)  op2(e21, e21) = e23
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | | BETA: splitting (92) gives:
% 244.75/48.83  | | | | | | | 
% 244.75/48.83  | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | |   (285)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 =
% 244.75/48.83  | | | | | | | |            e22 & op2(e23, e21) = e22)
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | | BETA: splitting (285) gives:
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | |   (286)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | ALPHA: (286) implies:
% 244.75/48.83  | | | | | | | | |   (287)  all_24_9 = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | BETA: splitting (75) gives:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (288)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.75/48.83  | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | BETA: splitting (288) gives:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (289)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | ALPHA: (289) implies:
% 244.75/48.83  | | | | | | | | | | |   (290)  all_24_0 = e20
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | BETA: splitting (101) gives:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (291)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.75/48.83  | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | BETA: splitting (291) gives:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (292)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | ALPHA: (292) implies:
% 244.75/48.83  | | | | | | | | | | | | |   (293)  all_24_0 = e24
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (1), (8), (20), (30), (32), (34), (37), (39),
% 244.75/48.83  | | | | | | | | | | | | |            (43), (50), (53), (57), (59), (66), (72), (75),
% 244.75/48.83  | | | | | | | | | | | | |            (81), (82), (103), (121), (126), (130), (135),
% 244.75/48.83  | | | | | | | | | | | | |            (137), (148), (156), (163), (164), (287), (293)
% 244.75/48.83  | | | | | | | | | | | | |            are inconsistent by sub-proof #562.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | |   (294)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | | REF_CLOSE: (100), (130), (294) are inconsistent by sub-proof
% 244.75/48.83  | | | | | | | | | | | | |            #870.
% 244.75/48.83  | | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (295)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.75/48.83  | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.75/48.83  | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | | REF_CLOSE: (17), (30), (32), (34), (39), (43), (50), (56),
% 244.75/48.83  | | | | | | | | | | | |            (57), (59), (62), (66), (72), (82), (110), (121),
% 244.75/48.83  | | | | | | | | | | | |            (126), (128), (130), (132), (135), (137), (148),
% 244.75/48.83  | | | | | | | | | | | |            (150), (156), (163), (164), (287), (290), (295)
% 244.75/48.83  | | | | | | | | | | | |            are inconsistent by sub-proof #569.
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (296)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | REF_CLOSE: (50), (59), (164), (296) are inconsistent by
% 244.75/48.83  | | | | | | | | | | |            sub-proof #911.
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (297)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 244.75/48.83  | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 244.75/48.83  | | | | | | | | | |            op2(e24, e20) = e20)
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | REF_CLOSE: (1), (8), (20), (30), (32), (34), (37), (39),
% 244.75/48.83  | | | | | | | | | |            (43), (50), (53), (57), (66), (72), (81), (82),
% 244.75/48.83  | | | | | | | | | |            (103), (121), (126), (130), (135), (137), (148),
% 244.75/48.83  | | | | | | | | | |            (156), (163), (164), (287), (297) are inconsistent
% 244.75/48.83  | | | | | | | | | |            by sub-proof #563.
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | |   (298)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | ALPHA: (298) implies:
% 244.75/48.83  | | | | | | | | |   (299)  op2(e23, e21) = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | REF_CLOSE: (34), (50), (130), (137), (299) are inconsistent by
% 244.75/48.83  | | | | | | | | |            sub-proof #963.
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | End of split
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | |   (300)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.75/48.83  | | | | | | | |            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 244.75/48.83  | | | | | | | |            op2(e20, e21) = e22)
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | | BETA: splitting (300) gives:
% 244.75/48.83  | | | | | | | | 
% 244.75/48.83  | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | |   (301)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | ALPHA: (301) implies:
% 244.75/48.83  | | | | | | | | |   (302)  all_24_11 = e22
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | BETA: splitting (15) gives:
% 244.75/48.83  | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (303)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.75/48.83  | | | | | | | | | |          (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | REF_CLOSE: (46), (47), (50), (131), (144), (303) are
% 244.75/48.83  | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | Case 2:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | |   (304)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.75/48.83  | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.83  | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | BETA: splitting (304) gives:
% 244.75/48.83  | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | |   (305)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | ALPHA: (305) implies:
% 244.75/48.83  | | | | | | | | | | |   (306)  all_24_14 = e22
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | BETA: splitting (149) gives:
% 244.75/48.83  | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | Case 1:
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.83  | | | | | | | | | | | |   (307)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.75/48.83  | | | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 244.75/48.83  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (37), (39), (43), (47), (50),
% 244.75/48.84  | | | | | | | | | | | |            (54), (57), (58), (59), (66), (72), (82), (100),
% 244.75/48.84  | | | | | | | | | | | |            (112), (114), (115), (126), (130), (132), (135),
% 244.75/48.84  | | | | | | | | | | | |            (137), (139), (148), (154), (155), (156), (163),
% 244.75/48.84  | | | | | | | | | | | |            (164), (276), (307) are inconsistent by sub-proof
% 244.75/48.84  | | | | | | | | | | | |            #561.
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | |   (308)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.75/48.84  | | | | | | | | | | | |          (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.75/48.84  | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | BETA: splitting (308) gives:
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | |   (309)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | ALPHA: (309) implies:
% 244.75/48.84  | | | | | | | | | | | | |   (310)  all_24_8 = e21
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (13), (17), (19), (20), (24),
% 244.75/48.84  | | | | | | | | | | | | |            (25), (30), (32), (34), (35), (36), (37), (39),
% 244.75/48.84  | | | | | | | | | | | | |            (43), (45), (47), (50), (53), (54), (56), (57),
% 244.75/48.84  | | | | | | | | | | | | |            (58), (59), (60), (61), (62), (66), (68), (69),
% 244.75/48.84  | | | | | | | | | | | | |            (70), (72), (75), (76), (77), (81), (82), (85),
% 244.75/48.84  | | | | | | | | | | | | |            (87), (91), (100), (101), (103), (108), (110),
% 244.75/48.84  | | | | | | | | | | | | |            (111), (112), (114), (115), (117), (121), (122),
% 244.75/48.84  | | | | | | | | | | | | |            (123), (125), (126), (128), (130), (132), (133),
% 244.75/48.84  | | | | | | | | | | | | |            (135), (136), (137), (139), (143), (146), (148),
% 244.75/48.84  | | | | | | | | | | | | |            (150), (154), (155), (156), (163), (164), (276),
% 244.75/48.84  | | | | | | | | | | | | |            (283), (306), (310) are inconsistent by sub-proof
% 244.75/48.84  | | | | | | | | | | | | |            #549.
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | |   (311)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.75/48.84  | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | BETA: splitting (311) gives:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (312)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (39), (43), (50), (57), (66),
% 244.75/48.84  | | | | | | | | | | | | | |            (72), (82), (121), (130), (135), (137), (148),
% 244.75/48.84  | | | | | | | | | | | | | |            (150), (156), (163), (164), (302), (312) are
% 244.75/48.84  | | | | | | | | | | | | | |            inconsistent by sub-proof #689.
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (313)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | REF_CLOSE: (41), (50), (72), (313) are inconsistent by
% 244.75/48.84  | | | | | | | | | | | | | |            sub-proof #740.
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | |   (314)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.84  | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | REF_CLOSE: (7), (27), (30), (32), (34), (35), (39), (41),
% 244.75/48.84  | | | | | | | | | | |            (43), (50), (57), (66), (72), (76), (82), (85),
% 244.75/48.84  | | | | | | | | | | |            (121), (122), (126), (130), (132), (133), (135),
% 244.75/48.84  | | | | | | | | | | |            (136), (137), (146), (148), (150), (153), (156),
% 244.75/48.84  | | | | | | | | | | |            (163), (164), (283), (314) are inconsistent by
% 244.75/48.84  | | | | | | | | | | |            sub-proof #547.
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | 
% 244.75/48.84  | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | 
% 244.75/48.84  | | | | | | | | |   (315)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23
% 244.75/48.84  | | | | | | | | |            = e22 & op2(e20, e21) = e22)
% 244.75/48.84  | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | BETA: splitting (315) gives:
% 244.75/48.84  | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | |   (316)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | REF_CLOSE: (32), (34), (35), (39), (50), (57), (76), (82),
% 244.75/48.84  | | | | | | | | | |            (85), (122), (132), (133), (135), (137), (146),
% 244.75/48.84  | | | | | | | | | |            (156), (163), (283), (316) are inconsistent by
% 244.75/48.84  | | | | | | | | | |            sub-proof #548.
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | |   (317)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | ALPHA: (317) implies:
% 244.75/48.84  | | | | | | | | | |   (318)  op2(e20, e21) = e22
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | BETA: splitting (15) gives:
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | |   (319)  (all_24_12 = e22 & op2(e21, e24) = e22) |
% 244.75/48.84  | | | | | | | | | | |          (all_24_13 = e22 & op2(e21, e23) = e22)
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | REF_CLOSE: (46), (47), (50), (131), (144), (319) are
% 244.75/48.84  | | | | | | | | | | |            inconsistent by sub-proof #699.
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | |   (320)  (all_24_14 = e22 & op2(e21, e22) = e22) |
% 244.75/48.84  | | | | | | | | | | |          (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.84  | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | BETA: splitting (320) gives:
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | |   (321)  all_24_14 = e22 & op2(e21, e22) = e22
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | ALPHA: (321) implies:
% 244.75/48.84  | | | | | | | | | | | |   (322)  all_24_14 = e22
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_19, e22, e21, e20,
% 244.75/48.84  | | | | | | | | | | | |              simplifying with (143), (318) gives:
% 244.75/48.84  | | | | | | | | | | | |   (323)  all_16_19 = e22
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, e23, e21, e21,
% 244.75/48.84  | | | | | | | | | | | |              simplifying with (120), (284) gives:
% 244.75/48.84  | | | | | | | | | | | |   (324)  all_6_2 = e23
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_2, e23, e24, e22,
% 244.75/48.84  | | | | | | | | | | | |              simplifying with (42), (277) gives:
% 244.75/48.84  | | | | | | | | | | | |   (325)  all_16_2 = e23
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | REDUCE: (96), (325) imply:
% 244.75/48.84  | | | | | | | | | | | |   (326)   ~ (all_16_7 = e23)
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | REDUCE: (116), (323) imply:
% 244.75/48.84  | | | | | | | | | | | |   (327)   ~ (e24 = e22)
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | REDUCE: (49), (324) imply:
% 244.75/48.84  | | | | | | | | | | | |   (328)   ~ (e24 = e23)
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | BETA: splitting (127) gives:
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | |   (329)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5
% 244.75/48.84  | | | | | | | | | | | | |            = e21 & op2(e23, e22) = e21)
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | BETA: splitting (329) gives:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (330)  all_24_4 = e21 & op2(e24, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | REF_CLOSE: (32), (34), (39), (43), (50), (57), (66), (82),
% 244.75/48.84  | | | | | | | | | | | | | |            (110), (130), (132), (135), (137), (148), (156),
% 244.75/48.84  | | | | | | | | | | | | | |            (163), (330) are inconsistent by sub-proof #664.
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (331)  all_24_5 = e21 & op2(e23, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | REF_CLOSE: (50), (82), (126), (331) are inconsistent by
% 244.75/48.84  | | | | | | | | | | | | | |            sub-proof #1318.
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | |   (332)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.75/48.84  | | | | | | | | | | | | |          (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.75/48.84  | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | BETA: splitting (332) gives:
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (333)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | ALPHA: (333) implies:
% 244.75/48.84  | | | | | | | | | | | | | |   (334)  all_24_8 = e21
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (13), (17), (19), (20), (24),
% 244.75/48.84  | | | | | | | | | | | | | |            (25), (30), (32), (34), (35), (36), (37), (39),
% 244.75/48.84  | | | | | | | | | | | | | |            (43), (45), (47), (50), (53), (54), (56), (57),
% 244.75/48.84  | | | | | | | | | | | | | |            (58), (59), (60), (61), (62), (66), (68), (69),
% 244.75/48.84  | | | | | | | | | | | | | |            (70), (72), (75), (76), (77), (81), (82), (85),
% 244.75/48.84  | | | | | | | | | | | | | |            (87), (91), (100), (101), (103), (108), (110),
% 244.75/48.84  | | | | | | | | | | | | | |            (111), (112), (114), (115), (117), (121), (122),
% 244.75/48.84  | | | | | | | | | | | | | |            (123), (125), (126), (128), (130), (132), (133),
% 244.75/48.84  | | | | | | | | | | | | | |            (135), (136), (137), (139), (143), (146), (148),
% 244.75/48.84  | | | | | | | | | | | | | |            (150), (154), (155), (156), (163), (164), (276),
% 244.75/48.84  | | | | | | | | | | | | | |            (283), (322), (334) are inconsistent by sub-proof
% 244.75/48.84  | | | | | | | | | | | | | |            #549.
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | |   (335)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.75/48.84  | | | | | | | | | | | | | |          (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | |   (336)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | | REF_CLOSE: (30), (32), (34), (39), (43), (50), (57), (66),
% 244.75/48.84  | | | | | | | | | | | | | | |            (72), (82), (121), (130), (135), (137), (148),
% 244.75/48.84  | | | | | | | | | | | | | | |            (150), (156), (163), (164), (322), (336) are
% 244.75/48.84  | | | | | | | | | | | | | | |            inconsistent by sub-proof #749.
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | |   (337)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | | REF_CLOSE: (25), (36), (45), (50), (68), (70), (72), (91),
% 244.75/48.84  | | | | | | | | | | | | | | |            (103), (117), (143), (337) are inconsistent by
% 244.75/48.84  | | | | | | | | | | | | | | |            sub-proof #732.
% 244.75/48.84  | | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | |   (338)  (all_24_15 = e22 & op2(e21, e21) = e22) |
% 244.75/48.84  | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | | REF_CLOSE: (7), (27), (30), (32), (34), (35), (39), (41),
% 244.75/48.84  | | | | | | | | | | | |            (43), (50), (57), (66), (72), (76), (82), (85),
% 244.75/48.84  | | | | | | | | | | | |            (121), (122), (126), (130), (132), (133), (135),
% 244.75/48.84  | | | | | | | | | | | |            (136), (137), (146), (148), (150), (153), (156),
% 244.75/48.84  | | | | | | | | | | | |            (163), (164), (283), (338) are inconsistent by
% 244.75/48.84  | | | | | | | | | | | |            sub-proof #547.
% 244.75/48.84  | | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | | 
% 244.75/48.84  | | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | | 
% 244.75/48.84  | | | | | | | | End of split
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | End of split
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | Case 2:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | |   (339)  all_24_23 = e23 & op2(e20, e21) = e23
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | REF_CLOSE: (7), (25), (30), (32), (33), (34), (37), (39), (43),
% 244.75/48.84  | | | | | | |            (47), (50), (53), (57), (58), (59), (60), (66), (72),
% 244.75/48.84  | | | | | | |            (82), (87), (100), (112), (114), (115), (116), (121),
% 244.75/48.84  | | | | | | |            (125), (126), (130), (132), (135), (137), (139), (143),
% 244.75/48.84  | | | | | | |            (148), (150), (154), (155), (156), (163), (164), (339)
% 244.75/48.84  | | | | | | |            are inconsistent by sub-proof #546.
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | End of split
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | End of split
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | End of split
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | Case 2:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | |   (340)  all_24_7 = e23 & op2(e22, e23) = e23
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | REF_CLOSE: (50), (58), (115), (340) are inconsistent by sub-proof #954.
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | End of split
% 244.75/48.84  | | | 
% 244.75/48.84  | | Case 2:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (341)  (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 &
% 244.75/48.84  | | |            op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.75/48.84  | | | 
% 244.75/48.84  | | | REF_CLOSE: (40), (50), (88), (111), (113), (142), (273), (341) are
% 244.75/48.84  | | |            inconsistent by sub-proof #545.
% 244.75/48.84  | | | 
% 244.75/48.84  | | End of split
% 244.75/48.84  | | 
% 244.75/48.84  | End of split
% 244.75/48.84  | 
% 244.75/48.84  End of proof
% 244.75/48.84  
% 244.75/48.84  Sub-proof #545 shows that the following formulas are inconsistent:
% 244.75/48.84  ----------------------------------------------------------------
% 244.75/48.84    (1)  (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 & op2(e22, e21)
% 244.75/48.84           = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 244.75/48.84    (2)  op2(e22, e20) = all_16_22
% 244.75/48.84    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.84    (4)   ~ (all_16_17 = e23)
% 244.75/48.84    (5)   ~ (all_4_2 = e23)
% 244.75/48.84    (6)  op2(e22, e21) = all_16_17
% 244.75/48.84    (7)   ~ (all_16_22 = e23)
% 244.75/48.84    (8)  op2(e22, e22) = all_4_2
% 244.75/48.84  
% 244.75/48.84  Begin of proof
% 244.75/48.84  | 
% 244.75/48.84  | BETA: splitting (1) gives:
% 244.75/48.84  | 
% 244.75/48.84  | Case 1:
% 244.75/48.84  | | 
% 244.75/48.84  | |   (9)  all_24_8 = e23 & op2(e22, e22) = e23
% 244.75/48.84  | | 
% 244.75/48.84  | | REF_CLOSE: (3), (5), (8), (9) are inconsistent by sub-proof #669.
% 244.75/48.84  | | 
% 244.75/48.84  | Case 2:
% 244.75/48.84  | | 
% 244.75/48.84  | |   (10)  (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_18 = e23 &
% 244.75/48.84  | |           op2(e22, e20) = e23)
% 244.75/48.84  | | 
% 244.75/48.84  | | BETA: splitting (10) gives:
% 244.75/48.84  | | 
% 244.75/48.84  | | Case 1:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (11)  all_24_11 = e23 & op2(e22, e21) = e23
% 244.75/48.84  | | | 
% 244.75/48.84  | | | REF_CLOSE: (3), (4), (6), (11) are inconsistent by sub-proof #809.
% 244.75/48.84  | | | 
% 244.75/48.84  | | Case 2:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (12)  all_24_18 = e23 & op2(e22, e20) = e23
% 244.75/48.84  | | | 
% 244.75/48.84  | | | REF_CLOSE: (2), (3), (7), (12) are inconsistent by sub-proof #808.
% 244.75/48.84  | | | 
% 244.75/48.84  | | End of split
% 244.75/48.84  | | 
% 244.75/48.84  | End of split
% 244.75/48.84  | 
% 244.75/48.84  End of proof
% 244.75/48.84  
% 244.75/48.84  Sub-proof #546 shows that the following formulas are inconsistent:
% 244.75/48.84  ----------------------------------------------------------------
% 244.75/48.84    (1)  all_24_24 = e20
% 244.75/48.84    (2)  op2(e20, e24) = all_16_4
% 244.75/48.84    (3)   ~ (e24 = e20)
% 244.75/48.84    (4)   ~ (e23 = e21)
% 244.75/48.84    (5)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.75/48.84             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.75/48.84           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.75/48.84    (6)  op2(e23, e21) = e24
% 244.75/48.84    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.75/48.84           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.75/48.84           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.75/48.84    (8)  op2(e23, e23) = e21
% 244.75/48.84    (9)  all_24_2 = e22
% 244.75/48.84    (10)   ~ (e23 = e22)
% 244.75/48.84    (11)   ~ (e22 = e20)
% 244.75/48.84    (12)  op2(e21, e23) = all_16_8
% 244.75/48.84    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.84            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.84    (14)  op2(e23, e24) = e22
% 244.75/48.84    (15)   ~ (e23 = e20)
% 244.75/48.84    (16)   ~ (all_16_7 = e23)
% 244.75/48.84    (17)  op2(e24, e23) = e22
% 244.75/48.84    (18)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.75/48.84              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.75/48.84            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.75/48.84    (19)   ~ (e24 = e21)
% 244.75/48.84    (20)   ~ (e22 = e21)
% 244.75/48.84    (21)  all_24_23 = e23 & op2(e20, e21) = e23
% 244.75/48.84    (22)  op2(e23, e22) = e20
% 244.75/48.84    (23)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.75/48.84              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.75/48.84            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.75/48.84    (24)  all_24_1 = e22
% 244.75/48.84    (25)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.84            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.75/48.84            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.75/48.84    (26)   ~ (all_16_8 = e23)
% 244.75/48.84    (27)  op2(e22, e23) = all_16_7
% 244.75/48.84    (28)   ~ (all_16_19 = e24)
% 244.75/48.84    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.84            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.84            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.84    (30)   ~ (all_16_4 = e22)
% 244.75/48.84    (31)   ~ (e21 = e20)
% 244.75/48.84    (32)   ~ (e24 = e22)
% 244.75/48.84    (33)  all_24_17 = e23
% 244.75/48.84    (34)   ~ (e24 = e23)
% 244.75/48.84    (35)  op2(e23, e21) = all_10_1
% 244.75/48.84    (36)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.84            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.75/48.84            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.75/48.84    (37)  op2(e20, e21) = all_16_19
% 244.75/48.84    (38)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.75/48.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.75/48.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.75/48.84    (39)  all_24_5 = e20
% 244.75/48.84    (40)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.75/48.84            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.75/48.84            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.75/48.84    (41)  all_24_3 = e21
% 244.75/48.84    (42)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.75/48.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.75/48.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.75/48.84  
% 244.75/48.84  Begin of proof
% 244.75/48.84  | 
% 244.75/48.84  | ALPHA: (21) implies:
% 244.75/48.84  |   (43)  all_24_23 = e23
% 244.75/48.84  | 
% 244.75/48.84  | BETA: splitting (23) gives:
% 244.75/48.84  | 
% 244.75/48.84  | Case 1:
% 244.75/48.84  | | 
% 244.75/48.84  | |   (44)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 244.75/48.84  | |           op2(e20, e23) = e22)
% 244.75/48.84  | | 
% 244.75/48.84  | | BETA: splitting (44) gives:
% 244.75/48.84  | | 
% 244.75/48.84  | | Case 1:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (45)  all_24_20 = e22 & op2(e20, e24) = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | ALPHA: (45) implies:
% 244.75/48.84  | | |   (46)  op2(e20, e24) = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | REF_CLOSE: (2), (13), (30), (46) are inconsistent by sub-proof #777.
% 244.75/48.84  | | | 
% 244.75/48.84  | | Case 2:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (47)  all_24_21 = e22 & op2(e20, e23) = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | ALPHA: (47) implies:
% 244.75/48.84  | | |   (48)  all_24_21 = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 244.75/48.84  | | |            (16), (17), (19), (20), (22), (24), (25), (27), (29), (31),
% 244.75/48.84  | | |            (32), (33), (34), (35), (36), (38), (40), (41), (42), (48) are
% 244.75/48.84  | | |            inconsistent by sub-proof #776.
% 244.75/48.84  | | | 
% 244.75/48.84  | | End of split
% 244.75/48.84  | | 
% 244.75/48.84  | Case 2:
% 244.75/48.84  | | 
% 244.75/48.84  | |   (49)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 244.75/48.84  | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.75/48.84  | | 
% 244.75/48.84  | | BETA: splitting (49) gives:
% 244.75/48.84  | | 
% 244.75/48.84  | | Case 1:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (50)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | ALPHA: (50) implies:
% 244.75/48.84  | | |   (51)  all_24_22 = e22
% 244.75/48.84  | | | 
% 244.75/48.84  | | | BETA: splitting (5) gives:
% 244.75/48.84  | | | 
% 244.75/48.84  | | | Case 1:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | |   (52)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 244.75/48.84  | | | |           op2(e20, e23) = e24)
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | BETA: splitting (52) gives:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | Case 1:
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | |   (53)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | ALPHA: (53) implies:
% 244.75/48.84  | | | | |   (54)  all_24_20 = e24
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | BETA: splitting (18) gives:
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | Case 1:
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | |   (55)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 244.75/48.84  | | | | | |           op2(e20, e23) = e21)
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | | BETA: splitting (55) gives:
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | | Case 1:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | |   (56)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | REF_CLOSE: (19), (54), (56) are inconsistent by sub-proof #872.
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | Case 2:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | |   (57)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | ALPHA: (57) implies:
% 244.75/48.84  | | | | | | |   (58)  all_24_21 = e21
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | REF_CLOSE: (4), (6), (8), (9), (10), (12), (13), (15), (16), (17),
% 244.75/48.84  | | | | | | |            (19), (22), (26), (27), (32), (33), (34), (35), (36),
% 244.75/48.84  | | | | | | |            (38), (42), (58) are inconsistent by sub-proof #765.
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | End of split
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | Case 2:
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | |   (59)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 244.75/48.84  | | | | | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.75/48.84  | | | | | |           e21)
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | | BETA: splitting (59) gives:
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | | Case 1:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | |   (60)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (13), (15), (19),
% 244.75/48.84  | | | | | | |            (20), (22), (29), (32), (34), (35), (38), (39), (42),
% 244.75/48.84  | | | | | | |            (51), (60) are inconsistent by sub-proof #724.
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | Case 2:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | |   (61)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21
% 244.75/48.84  | | | | | | |           & op2(e20, e20) = e21)
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | BETA: splitting (61) gives:
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | | Case 1:
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | |   (62)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | ALPHA: (62) implies:
% 244.75/48.84  | | | | | | | |   (63)  all_24_23 = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | COMBINE_EQS: (43), (63) imply:
% 244.75/48.84  | | | | | | | |   (64)  e23 = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | COMBINE_EQS: (33), (64) imply:
% 244.75/48.84  | | | | | | | |   (65)  all_24_17 = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (10), (13), (15), (19), (22),
% 244.75/48.84  | | | | | | | |            (32), (34), (35), (38), (42), (65) are inconsistent
% 244.75/48.84  | | | | | | | |            by sub-proof #874.
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | Case 2:
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | |   (66)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | ALPHA: (66) implies:
% 244.75/48.84  | | | | | | | |   (67)  all_24_24 = e21
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | COMBINE_EQS: (1), (67) imply:
% 244.75/48.84  | | | | | | | |   (68)  e21 = e20
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | SIMP: (68) implies:
% 244.75/48.84  | | | | | | | |   (69)  e21 = e20
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | REDUCE: (31), (69) imply:
% 244.75/48.84  | | | | | | | |   (70)  $false
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | | CLOSE: (70) is inconsistent.
% 244.75/48.84  | | | | | | | | 
% 244.75/48.84  | | | | | | | End of split
% 244.75/48.84  | | | | | | | 
% 244.75/48.84  | | | | | | End of split
% 244.75/48.84  | | | | | | 
% 244.75/48.84  | | | | | End of split
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | Case 2:
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | |   (71)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | REF_CLOSE: (4), (8), (10), (12), (13), (16), (17), (26), (27), (34),
% 244.75/48.84  | | | | |            (36), (71) are inconsistent by sub-proof #837.
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | End of split
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | Case 2:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | |   (72)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 244.75/48.84  | | | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | BETA: splitting (72) gives:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | Case 1:
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | |   (73)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | ALPHA: (73) implies:
% 244.75/48.84  | | | | |   (74)  all_24_22 = e24
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | REF_CLOSE: (32), (51), (74) are inconsistent by sub-proof #840.
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | Case 2:
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | |   (75)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 244.75/48.84  | | | | |           op2(e20, e20) = e24)
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | | REF_CLOSE: (1), (3), (13), (28), (37), (75) are inconsistent by
% 244.75/48.84  | | | | |            sub-proof #720.
% 244.75/48.84  | | | | | 
% 244.75/48.84  | | | | End of split
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | End of split
% 244.75/48.84  | | | 
% 244.75/48.84  | | Case 2:
% 244.75/48.84  | | | 
% 244.75/48.84  | | |   (76)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 244.75/48.84  | | |           op2(e20, e20) = e22)
% 244.75/48.84  | | | 
% 244.75/48.84  | | | BETA: splitting (76) gives:
% 244.75/48.84  | | | 
% 244.75/48.84  | | | Case 1:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | |   (77)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | ALPHA: (77) implies:
% 244.75/48.84  | | | |   (78)  all_24_23 = e22
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | COMBINE_EQS: (43), (78) imply:
% 244.75/48.84  | | | |   (79)  e23 = e22
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | COMBINE_EQS: (33), (79) imply:
% 244.75/48.84  | | | |   (80)  all_24_17 = e22
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | REF_CLOSE: (4), (6), (8), (10), (13), (14), (15), (22), (34), (35),
% 244.75/48.84  | | | |            (42), (80) are inconsistent by sub-proof #795.
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | Case 2:
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | |   (81)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (13), (15),
% 244.75/48.84  | | | |            (19), (20), (22), (29), (31), (32), (34), (35), (38), (42),
% 244.75/48.84  | | | |            (81) are inconsistent by sub-proof #619.
% 244.75/48.84  | | | | 
% 244.75/48.84  | | | End of split
% 244.75/48.84  | | | 
% 244.75/48.84  | | End of split
% 244.75/48.84  | | 
% 244.75/48.84  | End of split
% 244.75/48.84  | 
% 244.75/48.84  End of proof
% 244.75/48.84  
% 244.75/48.84  Sub-proof #547 shows that the following formulas are inconsistent:
% 244.75/48.84  ----------------------------------------------------------------
% 244.75/48.84    (1)  all_24_24 = e20
% 244.75/48.84    (2)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.75/48.84             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.75/48.84           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.75/48.84    (3)   ~ (e24 = e20)
% 244.75/48.84    (4)   ~ (e23 = e21)
% 244.75/48.84    (5)  op2(e23, e21) = e24
% 244.75/48.84    (6)   ~ (all_16_1 = e21)
% 244.75/48.84    (7)  op2(e23, e23) = e21
% 244.75/48.84    (8)  op2(e22, e20) = e22
% 244.75/48.84    (9)  all_24_2 = e22
% 244.75/48.84    (10)   ~ (e23 = e22)
% 244.75/48.84    (11)   ~ (e22 = e20)
% 244.75/48.84    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.75/48.84            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.75/48.84    (13)   ~ (e23 = e20)
% 244.75/48.84    (14)   ~ (e24 = e21)
% 244.75/48.84    (15)   ~ (e22 = e21)
% 244.75/48.84    (16)   ~ (all_16_1 = e20)
% 244.75/48.84    (17)  op2(e23, e22) = e20
% 244.75/48.84    (18)   ~ (all_16_1 = e23)
% 244.75/48.84    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.75/48.84            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.75/48.84            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.75/48.84    (20)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.75/48.84    (21)   ~ (e21 = e20)
% 244.75/48.84    (22)   ~ (e24 = e22)
% 244.75/48.84    (23)  all_24_17 = e23
% 244.75/48.84    (24)  op2(e23, e24) = all_16_1
% 244.75/48.84    (25)   ~ (e24 = e23)
% 244.75/48.84    (26)  all_24_18 = e22
% 244.75/48.84    (27)  op2(e23, e21) = all_10_1
% 244.75/48.84    (28)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21,
% 244.75/48.84              e20) = e22)
% 244.75/48.84    (29)  all_20_5 = all_16_1
% 244.83/48.84    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.84            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.84            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.84    (31)  all_24_15 = e23
% 244.83/48.84    (32)  all_24_5 = e20
% 244.83/48.84    (33)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.83/48.84              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.83/48.84            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.83/48.84    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.84  
% 244.83/48.84  Begin of proof
% 244.83/48.84  | 
% 244.83/48.84  | BETA: splitting (28) gives:
% 244.83/48.84  | 
% 244.83/48.84  | Case 1:
% 244.83/48.84  | | 
% 244.83/48.84  | |   (35)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.83/48.84  | | 
% 244.83/48.84  | | REF_CLOSE: (4), (5), (6), (7), (10), (12), (13), (16), (17), (18), (20),
% 244.83/48.84  | |            (23), (24), (25), (27), (29), (31), (34), (35) are inconsistent
% 244.83/48.84  | |            by sub-proof #548.
% 244.83/48.84  | | 
% 244.83/48.84  | Case 2:
% 244.83/48.84  | | 
% 244.83/48.84  | |   (36)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.83/48.84  | | 
% 244.83/48.84  | | ALPHA: (36) implies:
% 244.83/48.84  | |   (37)  all_24_19 = e22
% 244.83/48.84  | | 
% 244.83/48.84  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 244.83/48.84  | |            (14), (15), (17), (19), (21), (22), (25), (26), (27), (30), (32),
% 244.83/48.84  | |            (33), (34), (37) are inconsistent by sub-proof #683.
% 244.83/48.84  | | 
% 244.83/48.84  | End of split
% 244.83/48.84  | 
% 244.83/48.84  End of proof
% 244.83/48.84  
% 244.83/48.84  Sub-proof #548 shows that the following formulas are inconsistent:
% 244.83/48.84  ----------------------------------------------------------------
% 244.83/48.84    (1)   ~ (e23 = e21)
% 244.83/48.84    (2)  op2(e23, e21) = e24
% 244.83/48.84    (3)   ~ (all_16_1 = e21)
% 244.83/48.84    (4)  op2(e23, e23) = e21
% 244.83/48.84    (5)   ~ (e23 = e22)
% 244.83/48.84    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.84           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.84    (7)   ~ (e23 = e20)
% 244.83/48.84    (8)   ~ (all_16_1 = e20)
% 244.83/48.84    (9)  op2(e23, e22) = e20
% 244.83/48.84    (10)   ~ (all_16_1 = e23)
% 244.83/48.84    (11)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.83/48.84    (12)  all_24_17 = e23
% 244.83/48.84    (13)  op2(e23, e24) = all_16_1
% 244.83/48.84    (14)   ~ (e24 = e23)
% 244.83/48.84    (15)  op2(e23, e21) = all_10_1
% 244.83/48.84    (16)  all_20_5 = all_16_1
% 244.83/48.84    (17)  all_24_15 = e23
% 244.83/48.84    (18)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.83/48.84    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.84            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.84            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.84  
% 244.83/48.84  Begin of proof
% 244.83/48.84  | 
% 244.83/48.84  | ALPHA: (18) implies:
% 244.83/48.84  |   (20)  all_24_15 = e22
% 244.83/48.84  | 
% 244.83/48.84  | COMBINE_EQS: (17), (20) imply:
% 244.83/48.84  |   (21)  e23 = e22
% 244.83/48.84  | 
% 244.83/48.84  | COMBINE_EQS: (12), (21) imply:
% 244.83/48.84  |   (22)  all_24_17 = e22
% 244.83/48.84  | 
% 244.83/48.85  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 244.83/48.85  |            (14), (15), (16), (19), (22) are inconsistent by sub-proof #855.
% 244.83/48.85  | 
% 244.83/48.85  End of proof
% 244.83/48.85  
% 244.83/48.85  Sub-proof #549 shows that the following formulas are inconsistent:
% 244.83/48.85  ----------------------------------------------------------------
% 244.83/48.85    (1)  op2(e24, e22) = all_16_10
% 244.83/48.85    (2)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.83/48.85           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.83/48.85           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.83/48.85    (3)  all_24_24 = e20
% 244.83/48.85    (4)   ~ (all_16_10 = e20)
% 244.83/48.85    (5)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.83/48.85           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.83/48.85           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.83/48.85    (6)  all_24_14 = e22
% 244.83/48.85    (7)   ~ (all_16_15 = e24)
% 244.83/48.85    (8)  op2(unit2, e24) = e24
% 244.83/48.85    (9)  op2(e23, unit2) = e23
% 244.83/48.85    (10)   ~ (unit2 = e23)
% 244.83/48.85    (11)  op2(e20, e24) = all_16_4
% 244.83/48.85    (12)   ~ (e24 = e20)
% 244.83/48.85    (13)   ~ (e23 = e21)
% 244.83/48.85    (14)  all_24_6 = e23
% 244.83/48.85    (15)  op2(e23, e21) = e24
% 244.83/48.85    (16)   ~ (all_16_1 = e21)
% 244.83/48.85    (17)   ~ (all_16_19 = e20)
% 244.83/48.85    (18)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.85            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.85            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.85    (19)  op2(e23, e23) = e21
% 244.83/48.85    (20)  all_24_2 = e22
% 244.83/48.85    (21)   ~ (e23 = e22)
% 244.83/48.85    (22)  op2(e20, unit2) = e20
% 244.83/48.85    (23)   ~ (e22 = e20)
% 244.83/48.85    (24)  op2(e21, e23) = all_16_8
% 244.83/48.85    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.85            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.85    (26)  op2(e23, e24) = e22
% 244.83/48.85    (27)  all_24_21 = e23
% 244.83/48.85    (28)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.83/48.85            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.83/48.85            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.83/48.85    (29)   ~ (e23 = e20)
% 244.83/48.85    (30)   ~ (all_16_7 = e23)
% 244.83/48.85    (31)  op2(e24, e23) = e22
% 244.83/48.85    (32)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.83/48.85              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.83/48.85            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.83/48.85    (33)   ~ (all_16_10 = e22)
% 244.83/48.85    (34)  op2(e24, e22) = e23
% 244.83/48.85    (35)   ~ (e24 = e21)
% 244.83/48.85    (36)  op2(e20, e22) = all_16_14
% 244.83/48.85    (37)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.83/48.85              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.83/48.85            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.83/48.85    (38)   ~ (all_16_4 = e20)
% 244.83/48.85    (39)   ~ (e22 = e21)
% 244.83/48.85    (40)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.83/48.85            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.83/48.85            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.83/48.85    (41)   ~ (all_16_1 = e20)
% 244.83/48.85    (42)   ~ (all_16_17 = e24)
% 244.83/48.85    (43)  op2(e24, unit2) = e24
% 244.83/48.85    (44)  op2(e23, e22) = e20
% 244.83/48.85    (45)   ~ (all_16_1 = e23)
% 244.83/48.85    (46)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.83/48.85              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.83/48.85            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.83/48.85    (47)   ~ (all_16_14 = e20)
% 244.83/48.85    (48)  all_24_1 = e22
% 244.83/48.85    (49)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.83/48.85            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.83/48.85            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.83/48.85    (50)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.83/48.85    (51)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.83/48.85            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.83/48.85            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.83/48.85    (52)  all_24_4 = e23
% 244.83/48.85    (53)  op2(e22, e21) = all_16_17
% 244.83/48.85    (54)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.85            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.83/48.85            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.83/48.85    (55)   ~ (all_16_8 = e23)
% 244.83/48.85    (56)  op2(e22, e23) = all_16_7
% 244.83/48.85    (57)  op2(unit2, e22) = e22
% 244.83/48.85    (58)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.85            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.85            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.85    (59)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.83/48.85    (60)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 244.83/48.85            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 244.83/48.85            op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 244.83/48.85    (61)   ~ (all_16_4 = e22)
% 244.83/48.85    (62)   ~ (e21 = e20)
% 244.83/48.85    (63)  op2(e24, e21) = all_16_15
% 244.83/48.85    (64)   ~ (e24 = e22)
% 244.83/48.85    (65)  all_24_17 = e23
% 244.83/48.85    (66)  op2(e23, e24) = all_16_1
% 244.83/48.85    (67)   ~ (e24 = e23)
% 244.83/48.85    (68)  all_24_18 = e22
% 244.83/48.85    (69)  op2(e23, e21) = all_10_1
% 244.83/48.85    (70)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.85            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.83/48.85            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.83/48.85    (71)  op2(e20, e21) = all_16_19
% 244.83/48.85    (72)  all_24_8 = e21
% 244.83/48.85    (73)  all_20_5 = all_16_1
% 244.83/48.85    (74)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.85            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.85            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.85    (75)  all_24_15 = e23
% 244.83/48.85    (76)  all_24_5 = e20
% 244.83/48.85    (77)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.83/48.85            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.83/48.85            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.83/48.85    (78)  all_24_3 = e21
% 244.83/48.85    (79)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.85            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.85            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.85  
% 244.83/48.85  Begin of proof
% 244.83/48.85  | 
% 244.83/48.85  | BETA: splitting (51) gives:
% 244.83/48.85  | 
% 244.83/48.85  | Case 1:
% 244.83/48.85  | | 
% 244.83/48.85  | |   (80)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.83/48.85  | |             e22) = e24)
% 244.83/48.85  | | 
% 244.83/48.85  | | REF_CLOSE: (12), (25), (34), (67), (76), (80) are inconsistent by sub-proof
% 244.83/48.85  | |            #623.
% 244.83/48.85  | | 
% 244.83/48.85  | Case 2:
% 244.83/48.85  | | 
% 244.83/48.85  | |   (81)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 244.83/48.85  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.83/48.85  | | 
% 244.83/48.85  | | BETA: splitting (81) gives:
% 244.83/48.85  | | 
% 244.83/48.85  | | Case 1:
% 244.83/48.85  | | | 
% 244.83/48.85  | | |   (82)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.83/48.85  | | | 
% 244.83/48.85  | | | ALPHA: (82) implies:
% 244.83/48.85  | | |   (83)  all_24_8 = e24
% 244.83/48.85  | | | 
% 244.83/48.85  | | | REF_CLOSE: (35), (72), (83) are inconsistent by sub-proof #603.
% 244.83/48.85  | | | 
% 244.83/48.85  | | Case 2:
% 244.83/48.85  | | | 
% 244.83/48.85  | | |   (84)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 244.83/48.85  | | |           op2(e20, e22) = e24)
% 244.83/48.85  | | | 
% 244.83/48.85  | | | BETA: splitting (84) gives:
% 244.83/48.85  | | | 
% 244.83/48.85  | | | Case 1:
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | |   (85)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | | REF_CLOSE: (6), (64), (85) are inconsistent by sub-proof #726.
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | Case 2:
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | |   (86)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | | ALPHA: (86) implies:
% 244.83/48.85  | | | |   (87)  all_24_22 = e24
% 244.83/48.85  | | | |   (88)  op2(e20, e22) = e24
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | | BETA: splitting (46) gives:
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | | Case 1:
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | |   (89)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 244.83/48.85  | | | | |           op2(e20, e23) = e22)
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | | REF_CLOSE: (11), (12), (13), (15), (18), (19), (20), (21), (23), (25),
% 244.83/48.85  | | | | |            (26), (29), (30), (31), (35), (39), (44), (48), (54), (56),
% 244.83/48.85  | | | | |            (58), (61), (62), (64), (65), (67), (69), (70), (74), (77),
% 244.83/48.85  | | | | |            (78), (79), (89) are inconsistent by sub-proof #775.
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | Case 2:
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | |   (90)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 244.83/48.85  | | | | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 244.83/48.85  | | | | |           e22)
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | | BETA: splitting (90) gives:
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | | Case 1:
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | |   (91)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | | ALPHA: (91) implies:
% 244.83/48.85  | | | | | |   (92)  all_24_22 = e22
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | | REF_CLOSE: (64), (87), (92) are inconsistent by sub-proof #840.
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | Case 2:
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | |   (93)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 244.83/48.85  | | | | | |           op2(e20, e20) = e22)
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | | BETA: splitting (93) gives:
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | | Case 1:
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | |   (94)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | | ALPHA: (94) implies:
% 244.83/48.85  | | | | | | |   (95)  all_24_23 = e22
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | | BETA: splitting (60) gives:
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | |   (96)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24
% 244.83/48.85  | | | | | | | |           & op2(e22, e23) = e24)
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | | BETA: splitting (96) gives:
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | |   (97)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | REF_CLOSE: (14), (67), (97) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | | | |            #560.
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | |   (98)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | ALPHA: (98) implies:
% 244.83/48.85  | | | | | | | | |   (99)  all_24_7 = e24
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | BETA: splitting (77) gives:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | |   (100)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3
% 244.83/48.85  | | | | | | | | | |            = e20 & op2(e23, e23) = e20)
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | BETA: splitting (100) gives:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | |   (101)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | REF_CLOSE: (23), (25), (31), (101) are inconsistent by
% 244.83/48.85  | | | | | | | | | | |            sub-proof #911.
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | |   (102)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | REF_CLOSE: (19), (25), (62), (102) are inconsistent by
% 244.83/48.85  | | | | | | | | | | |            sub-proof #1306.
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | |   (103)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13
% 244.83/48.85  | | | | | | | | | |            = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 244.83/48.85  | | | | | | | | | |            op2(e20, e23) = e20)
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | BETA: splitting (103) gives:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | |   (104)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | ALPHA: (104) implies:
% 244.83/48.85  | | | | | | | | | | |   (105)  all_24_7 = e20
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | REF_CLOSE: (12), (99), (105) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | | | | | |            #869.
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | |   (106)  (all_24_13 = e20 & op2(e21, e23) = e20) |
% 244.83/48.85  | | | | | | | | | | |          (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | BETA: splitting (106) gives:
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | |   (107)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | ALPHA: (107) implies:
% 244.83/48.85  | | | | | | | | | | | |   (108)  all_24_13 = e20
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | BETA: splitting (37) gives:
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | |   (109)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | |          (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | BETA: splitting (109) gives:
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | |   (110)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | ALPHA: (110) implies:
% 244.83/48.85  | | | | | | | | | | | | | |   (111)  all_24_9 = e21
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | |   (112)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.83/48.85  | | | | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | |   (113)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | ALPHA: (113) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | |   (114)  all_24_0 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (115)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.83/48.85  | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (8), (9), (10), (13), (15), (17), (19), (20),
% 244.83/48.85  | | | | | | | | | | | | | | | | |            (21), (22), (24), (25), (29), (30), (31), (33),
% 244.83/48.85  | | | | | | | | | | | | | | | | |            (35), (36), (39), (44), (47), (50), (55), (56),
% 244.83/48.85  | | | | | | | | | | | | | | | | |            (57), (64), (65), (67), (69), (70), (71), (74),
% 244.83/48.85  | | | | | | | | | | | | | | | | |            (79), (88), (115) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | | | | | | | | | | | |            #559.
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (116)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.83/48.85  | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | |   (117)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17), (22), (25), (36), (38), (39), (47),
% 244.83/48.85  | | | | | | | | | | | | | | | | | |            (50), (57), (71), (117) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | | | | |            sub-proof #732.
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | |   (118)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (119)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | ALPHA: (119) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (120)  all_24_23 = e21
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (15), (19), (20), (21), (23), (25),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (29), (35), (39), (44), (58), (64), (67), (69),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (74), (76), (79), (95), (120) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            sub-proof #731.
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (121)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | ALPHA: (121) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (122)  all_24_24 = e21
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (122) imply:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (123)  e21 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | SIMP: (123) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (124)  e21 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (124) imply:
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |   (125)  all_24_9 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (13), (15), (18), (19), (20), (21),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (23), (24), (25), (27), (28), (29), (30), (31),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (34), (35), (39), (44), (48), (49), (52), (54),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (55), (56), (58), (62), (63), (64), (65), (67),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (69), (70), (74), (77), (78), (79), (99), (114),
% 244.83/48.85  | | | | | | | | | | | | | | | | | | |            (125) are inconsistent by sub-proof #649.
% 244.83/48.85  | | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | |   (126)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (25), (31), (126) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | |   (127)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 244.83/48.85  | | | | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 244.83/48.85  | | | | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | |   (128)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (25), (128) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | | |            sub-proof #909.
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | |   (129)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 244.83/48.85  | | | | | | | | | | | | | | | |          (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (130)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (131)  all_24_9 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (131) imply:
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (132)  e21 = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | REDUCE: (62), (132) imply:
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (133)  $false
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (134)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 244.83/48.85  | | | | | | | | | | | | | | | | |   (135)  op2(e24, e20) = e20
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15), (21), (25), (26), (29), (43), (44),
% 244.83/48.85  | | | | | | | | | | | | | | | | |            (50), (67), (69), (135) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | | | |            sub-proof #885.
% 244.83/48.85  | | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | |   (136)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | REF_CLOSE: (15), (25), (35), (69), (136) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | |            sub-proof #789.
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | |   (137)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | BETA: splitting (137) gives:
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | |   (138)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (12), (13), (14), (15), (16), (18),
% 244.83/48.85  | | | | | | | | | | | | | |            (19), (20), (21), (23), (25), (29), (31), (35),
% 244.83/48.85  | | | | | | | | | | | | | |            (39), (41), (44), (45), (48), (54), (58), (59),
% 244.83/48.85  | | | | | | | | | | | | | |            (62), (64), (65), (66), (67), (69), (70), (72),
% 244.83/48.85  | | | | | | | | | | | | | |            (73), (74), (76), (77), (78), (79), (99), (108),
% 244.83/48.85  | | | | | | | | | | | | | |            (138) are inconsistent by sub-proof #552.
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | |   (139)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.83/48.85  | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | |   (140)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (19), (20), (21), (25), (29), (35),
% 244.83/48.85  | | | | | | | | | | | | | | |            (44), (64), (65), (67), (69), (74), (75), (79),
% 244.83/48.85  | | | | | | | | | | | | | | |            (140) are inconsistent by sub-proof #551.
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | |   (141)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 244.83/48.85  | | | | | | | | | | | | | | |   (142)  all_24_23 = e21
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (15), (19), (20), (21), (23), (25),
% 244.83/48.85  | | | | | | | | | | | | | | |            (29), (35), (39), (44), (58), (64), (67), (69),
% 244.83/48.85  | | | | | | | | | | | | | | |            (74), (76), (79), (95), (142) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | | | | |            sub-proof #731.
% 244.83/48.85  | | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | |   (143)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | ALPHA: (143) implies:
% 244.83/48.85  | | | | | | | | | | | |   (144)  all_24_21 = e20
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | COMBINE_EQS: (27), (144) imply:
% 244.83/48.85  | | | | | | | | | | | |   (145)  e23 = e20
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | | REF_CLOSE: (12), (13), (15), (18), (19), (20), (21), (25),
% 244.83/48.85  | | | | | | | | | | | |            (29), (35), (39), (44), (62), (64), (65), (67),
% 244.83/48.85  | | | | | | | | | | | |            (69), (74), (79), (145) are inconsistent by
% 244.83/48.85  | | | | | | | | | | | |            sub-proof #833.
% 244.83/48.85  | | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | |   (146)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 =
% 244.83/48.85  | | | | | | | |            e24 & op2(e22, e21) = e24) | (all_24_18 = e24 &
% 244.83/48.85  | | | | | | | |            op2(e22, e20) = e24)
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | | BETA: splitting (146) gives:
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | |   (147)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | REF_CLOSE: (35), (72), (147) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | | | |            #550.
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | |   (148)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18
% 244.83/48.85  | | | | | | | | |            = e24 & op2(e22, e20) = e24)
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | BETA: splitting (148) gives:
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | Case 1:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | |   (149)  all_24_11 = e24 & op2(e22, e21) = e24
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | REF_CLOSE: (25), (42), (53), (149) are inconsistent by
% 244.83/48.85  | | | | | | | | | |            sub-proof #829.
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | Case 2:
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | |   (150)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | | REF_CLOSE: (64), (68), (150) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | | | | |            #802.
% 244.83/48.85  | | | | | | | | | | 
% 244.83/48.85  | | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | | 
% 244.83/48.85  | | | | | | | | End of split
% 244.83/48.85  | | | | | | | | 
% 244.83/48.85  | | | | | | | End of split
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | Case 2:
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | |   (151)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | | REF_CLOSE: (3), (12), (13), (15), (18), (19), (20), (21), (23),
% 244.83/48.85  | | | | | | |            (25), (29), (35), (39), (44), (58), (62), (64), (67),
% 244.83/48.85  | | | | | | |            (69), (74), (79), (151) are inconsistent by sub-proof
% 244.83/48.85  | | | | | | |            #722.
% 244.83/48.85  | | | | | | | 
% 244.83/48.85  | | | | | | End of split
% 244.83/48.85  | | | | | | 
% 244.83/48.85  | | | | | End of split
% 244.83/48.85  | | | | | 
% 244.83/48.85  | | | | End of split
% 244.83/48.85  | | | | 
% 244.83/48.85  | | | End of split
% 244.83/48.85  | | | 
% 244.83/48.85  | | End of split
% 244.83/48.85  | | 
% 244.83/48.85  | End of split
% 244.83/48.85  | 
% 244.83/48.85  End of proof
% 244.83/48.85  
% 244.83/48.85  Sub-proof #550 shows that the following formulas are inconsistent:
% 244.83/48.85  ----------------------------------------------------------------
% 244.83/48.85    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.83/48.85    (2)  all_24_8 = e21
% 244.83/48.85    (3)   ~ (e24 = e21)
% 244.83/48.85  
% 244.83/48.85  Begin of proof
% 244.83/48.85  | 
% 244.83/48.85  | ALPHA: (1) implies:
% 244.83/48.85  |   (4)  all_24_8 = e24
% 244.83/48.85  | 
% 244.83/48.85  | COMBINE_EQS: (2), (4) imply:
% 244.83/48.85  |   (5)  e24 = e21
% 244.83/48.85  | 
% 244.83/48.85  | REDUCE: (3), (5) imply:
% 244.83/48.85  |   (6)  $false
% 244.83/48.85  | 
% 244.83/48.85  | CLOSE: (6) is inconsistent.
% 244.83/48.85  | 
% 244.83/48.85  End of proof
% 244.83/48.85  
% 244.83/48.85  Sub-proof #551 shows that the following formulas are inconsistent:
% 244.83/48.85  ----------------------------------------------------------------
% 244.83/48.85    (1)   ~ (e23 = e21)
% 244.83/48.85    (2)  op2(e23, e21) = e24
% 244.83/48.85    (3)  op2(e23, e23) = e21
% 244.83/48.85    (4)  all_24_2 = e22
% 244.83/48.85    (5)   ~ (e23 = e22)
% 244.83/48.85    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.85           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.85    (7)   ~ (e23 = e20)
% 244.83/48.85    (8)   ~ (e24 = e21)
% 244.83/48.85    (9)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.83/48.85    (10)  op2(e23, e22) = e20
% 244.83/48.85    (11)   ~ (e24 = e22)
% 244.83/48.85    (12)  all_24_17 = e23
% 244.83/48.85    (13)   ~ (e24 = e23)
% 244.83/48.85    (14)  op2(e23, e21) = all_10_1
% 244.83/48.85    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.85            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.85            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.85    (16)  all_24_15 = e23
% 244.83/48.85    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.85            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.85            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.85  
% 244.83/48.85  Begin of proof
% 244.83/48.85  | 
% 244.83/48.85  | ALPHA: (9) implies:
% 244.83/48.85  |   (18)  all_24_15 = e21
% 244.83/48.85  | 
% 244.83/48.85  | COMBINE_EQS: (16), (18) imply:
% 244.83/48.85  |   (19)  e23 = e21
% 244.83/48.85  | 
% 244.83/48.85  | SIMP: (19) implies:
% 244.83/48.85  |   (20)  e23 = e21
% 244.83/48.85  | 
% 244.83/48.85  | COMBINE_EQS: (12), (20) imply:
% 244.83/48.85  |   (21)  all_24_17 = e21
% 244.83/48.85  | 
% 244.83/48.85  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14),
% 244.83/48.85  |            (15), (17), (21) are inconsistent by sub-proof #874.
% 244.83/48.85  | 
% 244.83/48.85  End of proof
% 244.83/48.85  
% 244.83/48.85  Sub-proof #552 shows that the following formulas are inconsistent:
% 244.83/48.85  ----------------------------------------------------------------
% 244.83/48.85    (1)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.83/48.85           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.83/48.85           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.83/48.85    (2)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22, e23)
% 244.83/48.85           = e20) | (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 &
% 244.83/48.85           op2(e22, e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.83/48.85    (3)   ~ (e24 = e20)
% 244.83/48.85    (4)   ~ (e23 = e21)
% 244.83/48.85    (5)  all_24_6 = e23
% 244.83/48.85    (6)  op2(e23, e21) = e24
% 244.83/48.85    (7)   ~ (all_16_1 = e21)
% 244.83/48.85    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.85           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.85           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.85    (9)  op2(e23, e23) = e21
% 244.83/48.85    (10)  all_24_2 = e22
% 244.83/48.85    (11)   ~ (e23 = e22)
% 244.83/48.85    (12)   ~ (e22 = e20)
% 244.83/48.85    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.85            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.85    (14)  all_24_13 = e20
% 244.83/48.85    (15)  all_24_7 = e24
% 244.83/48.85    (16)   ~ (e23 = e20)
% 244.83/48.85    (17)  op2(e24, e23) = e22
% 244.83/48.85    (18)   ~ (e24 = e21)
% 244.83/48.85    (19)   ~ (e22 = e21)
% 244.83/48.85    (20)   ~ (all_16_1 = e20)
% 244.83/48.85    (21)  op2(e23, e22) = e20
% 244.83/48.85    (22)   ~ (all_16_1 = e23)
% 244.83/48.85    (23)  all_24_1 = e22
% 244.83/48.85    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.85            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.83/48.85            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.83/48.85    (25)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.85            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.85            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.85    (26)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.83/48.85    (27)   ~ (e21 = e20)
% 244.83/48.85    (28)   ~ (e24 = e22)
% 244.83/48.85    (29)  all_24_17 = e23
% 244.83/48.85    (30)  op2(e23, e24) = all_16_1
% 244.83/48.85    (31)   ~ (e24 = e23)
% 244.83/48.85    (32)  op2(e23, e21) = all_10_1
% 244.83/48.85    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.85            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.83/48.85            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.83/48.85    (34)  all_24_8 = e21
% 244.83/48.85    (35)  all_20_5 = all_16_1
% 244.83/48.85    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.85            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.85            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.85    (37)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.83/48.85    (38)  all_24_5 = e20
% 244.83/48.85    (39)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.83/48.85            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.83/48.85            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.83/48.85    (40)  all_24_3 = e21
% 244.83/48.85    (41)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.85            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.85            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.85  
% 244.83/48.85  Begin of proof
% 244.83/48.85  | 
% 244.83/48.85  | ALPHA: (37) implies:
% 244.83/48.85  |   (42)  all_24_11 = e21
% 244.83/48.85  | 
% 244.83/48.85  | BETA: splitting (2) gives:
% 244.83/48.85  | 
% 244.83/48.85  | Case 1:
% 244.83/48.85  | | 
% 244.83/48.85  | |   (43)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_7 = e20 & op2(e22,
% 244.83/48.85  | |             e23) = e20)
% 244.83/48.85  | | 
% 244.83/48.85  | | BETA: splitting (43) gives:
% 244.83/48.85  | | 
% 244.83/48.85  | | Case 1:
% 244.83/48.85  | | | 
% 244.83/48.85  | | |   (44)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.83/48.85  | | | 
% 244.83/48.86  | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (11), (13), (16), (18),
% 244.83/48.86  | | |            (19), (21), (27), (28), (29), (31), (32), (36), (41), (44) are
% 244.83/48.86  | | |            inconsistent by sub-proof #558.
% 244.83/48.86  | | | 
% 244.83/48.86  | | Case 2:
% 244.83/48.86  | | | 
% 244.83/48.86  | | |   (45)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.83/48.86  | | | 
% 244.83/48.86  | | | REF_CLOSE: (3), (15), (45) are inconsistent by sub-proof #847.
% 244.83/48.86  | | | 
% 244.83/48.86  | | End of split
% 244.83/48.86  | | 
% 244.83/48.86  | Case 2:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (46)  (all_24_8 = e20 & op2(e22, e22) = e20) | (all_24_11 = e20 & op2(e22,
% 244.83/48.86  | |             e21) = e20) | (all_24_18 = e20 & op2(e22, e20) = e20)
% 244.83/48.86  | | 
% 244.83/48.86  | | BETA: splitting (46) gives:
% 244.83/48.86  | | 
% 244.83/48.86  | | Case 1:
% 244.83/48.86  | | | 
% 244.83/48.86  | | |   (47)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.83/48.86  | | | 
% 244.83/48.86  | | | REF_CLOSE: (27), (34), (47) are inconsistent by sub-proof #557.
% 244.83/48.86  | | | 
% 244.83/48.86  | | Case 2:
% 244.83/48.86  | | | 
% 244.83/48.86  | | |   (48)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_18 = e20 &
% 244.83/48.86  | | |           op2(e22, e20) = e20)
% 244.83/48.86  | | | 
% 244.83/48.86  | | | BETA: splitting (48) gives:
% 244.83/48.86  | | | 
% 244.83/48.86  | | | Case 1:
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | |   (49)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | | REF_CLOSE: (27), (42), (49) are inconsistent by sub-proof #556.
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | Case 2:
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | |   (50)  all_24_18 = e20 & op2(e22, e20) = e20
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | | ALPHA: (50) implies:
% 244.83/48.86  | | | |   (51)  all_24_18 = e20
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | | BETA: splitting (1) gives:
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | | Case 1:
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | |   (52)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 &
% 244.83/48.86  | | | | |           op2(e22, e23) = e22)
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.83/48.86  | | | | |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 244.83/48.86  | | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (35),
% 244.83/48.86  | | | | |            (36), (39), (40), (41), (52) are inconsistent by sub-proof
% 244.83/48.86  | | | | |            #555.
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | Case 2:
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | |   (53)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.83/48.86  | | | | |           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) =
% 244.83/48.86  | | | | |           e22)
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | | BETA: splitting (53) gives:
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | | Case 1:
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | |   (54)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | | ALPHA: (54) implies:
% 244.83/48.86  | | | | | |   (55)  all_24_8 = e22
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | | REF_CLOSE: (3), (4), (6), (9), (10), (11), (12), (13), (16), (18),
% 244.83/48.86  | | | | | |            (19), (21), (25), (28), (31), (32), (34), (36), (38),
% 244.83/48.86  | | | | | |            (41), (55) are inconsistent by sub-proof #554.
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | Case 2:
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | |   (56)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_18 = e22 &
% 244.83/48.86  | | | | | |           op2(e22, e20) = e22)
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | | BETA: splitting (56) gives:
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | | Case 1:
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | |   (57)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | | ALPHA: (57) implies:
% 244.83/48.86  | | | | | | |   (58)  all_24_11 = e22
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | | REF_CLOSE: (3), (4), (6), (9), (10), (11), (12), (13), (16), (18),
% 244.83/48.86  | | | | | | |            (19), (21), (25), (28), (31), (32), (36), (38), (41),
% 244.83/48.86  | | | | | | |            (42), (58) are inconsistent by sub-proof #792.
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | Case 2:
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | |   (59)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (12), (13), (16),
% 244.83/48.86  | | | | | | |            (18), (19), (21), (25), (27), (28), (31), (32), (36),
% 244.83/48.86  | | | | | | |            (41), (51), (59) are inconsistent by sub-proof #553.
% 244.83/48.86  | | | | | | | 
% 244.83/48.86  | | | | | | End of split
% 244.83/48.86  | | | | | | 
% 244.83/48.86  | | | | | End of split
% 244.83/48.86  | | | | | 
% 244.83/48.86  | | | | End of split
% 244.83/48.86  | | | | 
% 244.83/48.86  | | | End of split
% 244.83/48.86  | | | 
% 244.83/48.86  | | End of split
% 244.83/48.86  | | 
% 244.83/48.86  | End of split
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #553 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)   ~ (e24 = e20)
% 244.83/48.86    (2)   ~ (e23 = e21)
% 244.83/48.86    (3)  op2(e23, e21) = e24
% 244.83/48.86    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.86           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.86           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.86    (5)  op2(e23, e23) = e21
% 244.83/48.86    (6)  all_24_2 = e22
% 244.83/48.86    (7)   ~ (e23 = e22)
% 244.83/48.86    (8)   ~ (e22 = e20)
% 244.83/48.86    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (10)   ~ (e23 = e20)
% 244.83/48.86    (11)   ~ (e24 = e21)
% 244.83/48.86    (12)   ~ (e22 = e21)
% 244.83/48.86    (13)  op2(e23, e22) = e20
% 244.83/48.86    (14)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.83/48.86    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.86            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.86            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.86    (16)   ~ (e21 = e20)
% 244.83/48.86    (17)   ~ (e24 = e22)
% 244.83/48.86    (18)   ~ (e24 = e23)
% 244.83/48.86    (19)  op2(e23, e21) = all_10_1
% 244.83/48.86    (20)  all_24_18 = e20
% 244.83/48.86    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | ALPHA: (14) implies:
% 244.83/48.86  |   (23)  all_24_18 = e22
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (20), (23) imply:
% 244.83/48.86  |   (24)  e22 = e20
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (6), (24) imply:
% 244.83/48.86  |   (25)  all_24_2 = e20
% 244.83/48.86  | 
% 244.83/48.86  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 244.83/48.86  |            (15), (16), (17), (18), (19), (21), (22), (25) are inconsistent by
% 244.83/48.86  |            sub-proof #1307.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #554 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)   ~ (e24 = e20)
% 244.83/48.86    (2)   ~ (e23 = e21)
% 244.83/48.86    (3)  op2(e23, e21) = e24
% 244.83/48.86    (4)  op2(e23, e23) = e21
% 244.83/48.86    (5)  all_24_2 = e22
% 244.83/48.86    (6)   ~ (e23 = e22)
% 244.83/48.86    (7)   ~ (e22 = e20)
% 244.83/48.86    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (9)   ~ (e23 = e20)
% 244.83/48.86    (10)   ~ (e24 = e21)
% 244.83/48.86    (11)   ~ (e22 = e21)
% 244.83/48.86    (12)  all_24_8 = e22
% 244.83/48.86    (13)  op2(e23, e22) = e20
% 244.83/48.86    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.86            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.86            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.86    (15)   ~ (e24 = e22)
% 244.83/48.86    (16)   ~ (e24 = e23)
% 244.83/48.86    (17)  op2(e23, e21) = all_10_1
% 244.83/48.86    (18)  all_24_8 = e21
% 244.83/48.86    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (20)  all_24_5 = e20
% 244.83/48.86    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (12), (18) imply:
% 244.83/48.86  |   (22)  e22 = e21
% 244.83/48.86  | 
% 244.83/48.86  | SIMP: (22) implies:
% 244.83/48.86  |   (23)  e22 = e21
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (5), (23) imply:
% 244.83/48.86  |   (24)  all_24_2 = e21
% 244.83/48.86  | 
% 244.83/48.86  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 244.83/48.86  |            (15), (16), (17), (19), (20), (21), (24) are inconsistent by
% 244.83/48.86  |            sub-proof #1298.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #555 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)   ~ (e24 = e20)
% 244.83/48.86    (2)   ~ (e23 = e21)
% 244.83/48.86    (3)  all_24_6 = e23
% 244.83/48.86    (4)  op2(e23, e21) = e24
% 244.83/48.86    (5)   ~ (all_16_1 = e21)
% 244.83/48.86    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.86           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.86           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.86    (7)  op2(e23, e23) = e21
% 244.83/48.86    (8)  all_24_2 = e22
% 244.83/48.86    (9)   ~ (e23 = e22)
% 244.83/48.86    (10)   ~ (e22 = e20)
% 244.83/48.86    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (12)  all_24_13 = e20
% 244.83/48.86    (13)   ~ (e23 = e20)
% 244.83/48.86    (14)  op2(e24, e23) = e22
% 244.83/48.86    (15)   ~ (e24 = e21)
% 244.83/48.86    (16)   ~ (e22 = e21)
% 244.83/48.86    (17)   ~ (all_16_1 = e20)
% 244.83/48.86    (18)  op2(e23, e22) = e20
% 244.83/48.86    (19)   ~ (all_16_1 = e23)
% 244.83/48.86    (20)  all_24_1 = e22
% 244.83/48.86    (21)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.83/48.86            = e22)
% 244.83/48.86    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.83/48.86            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.83/48.86    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.86            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.86            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.86    (24)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.83/48.86    (25)   ~ (e21 = e20)
% 244.83/48.86    (26)   ~ (e24 = e22)
% 244.83/48.86    (27)  all_24_17 = e23
% 244.83/48.86    (28)  op2(e23, e24) = all_16_1
% 244.83/48.86    (29)   ~ (e24 = e23)
% 244.83/48.86    (30)  op2(e23, e21) = all_10_1
% 244.83/48.86    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.83/48.86            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.83/48.86    (32)  all_20_5 = all_16_1
% 244.83/48.86    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (34)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.83/48.86            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.83/48.86            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.83/48.86    (35)  all_24_3 = e21
% 244.83/48.86    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | BETA: splitting (21) gives:
% 244.83/48.86  | 
% 244.83/48.86  | Case 1:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (37)  all_24_6 = e22 & op2(e22, e24) = e22
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (11), (13), (17), (18), (19), (24),
% 244.83/48.86  | |            (27), (28), (29), (30), (32), (36), (37) are inconsistent by
% 244.83/48.86  | |            sub-proof #694.
% 244.83/48.86  | | 
% 244.83/48.86  | Case 2:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (38)  all_24_7 = e22 & op2(e22, e23) = e22
% 244.83/48.86  | | 
% 244.83/48.86  | | ALPHA: (38) implies:
% 244.83/48.86  | |   (39)  all_24_7 = e22
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.83/48.86  | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 244.83/48.86  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 244.83/48.86  | |            (39) are inconsistent by sub-proof #761.
% 244.83/48.86  | | 
% 244.83/48.86  | End of split
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #556 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.83/48.86    (2)  all_24_11 = e21
% 244.83/48.86    (3)   ~ (e21 = e20)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | ALPHA: (1) implies:
% 244.83/48.86  |   (4)  all_24_11 = e20
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (2), (4) imply:
% 244.83/48.86  |   (5)  e21 = e20
% 244.83/48.86  | 
% 244.83/48.86  | REDUCE: (3), (5) imply:
% 244.83/48.86  |   (6)  $false
% 244.83/48.86  | 
% 244.83/48.86  | CLOSE: (6) is inconsistent.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #557 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  all_24_8 = e20 & op2(e22, e22) = e20
% 244.83/48.86    (2)  all_24_8 = e21
% 244.83/48.86    (3)   ~ (e21 = e20)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | ALPHA: (1) implies:
% 244.83/48.86  |   (4)  all_24_8 = e20
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (2), (4) imply:
% 244.83/48.86  |   (5)  e21 = e20
% 244.83/48.86  | 
% 244.83/48.86  | REDUCE: (3), (5) imply:
% 244.83/48.86  |   (6)  $false
% 244.83/48.86  | 
% 244.83/48.86  | CLOSE: (6) is inconsistent.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #558 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.83/48.86    (2)   ~ (e24 = e20)
% 244.83/48.86    (3)   ~ (e23 = e21)
% 244.83/48.86    (4)  all_24_6 = e23
% 244.83/48.86    (5)  op2(e23, e21) = e24
% 244.83/48.86    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.86           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.86           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.86    (7)  op2(e23, e23) = e21
% 244.83/48.86    (8)  all_24_2 = e22
% 244.83/48.86    (9)   ~ (e23 = e22)
% 244.83/48.86    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (11)   ~ (e23 = e20)
% 244.83/48.86    (12)   ~ (e24 = e21)
% 244.83/48.86    (13)   ~ (e22 = e21)
% 244.83/48.86    (14)  op2(e23, e22) = e20
% 244.83/48.86    (15)   ~ (e21 = e20)
% 244.83/48.86    (16)   ~ (e24 = e22)
% 244.83/48.86    (17)  all_24_17 = e23
% 244.83/48.86    (18)   ~ (e24 = e23)
% 244.83/48.86    (19)  op2(e23, e21) = all_10_1
% 244.83/48.86    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | ALPHA: (1) implies:
% 244.83/48.86  |   (22)  all_24_6 = e20
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (4), (22) imply:
% 244.83/48.86  |   (23)  e23 = e20
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (17), (23) imply:
% 244.83/48.86  |   (24)  all_24_17 = e20
% 244.83/48.86  | 
% 244.83/48.86  | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 244.83/48.86  |            (15), (16), (18), (19), (20), (21), (24) are inconsistent by
% 244.83/48.86  |            sub-proof #888.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #559 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  op2(e24, e22) = all_16_10
% 244.83/48.86    (2)  op2(unit2, e24) = e24
% 244.83/48.86    (3)  op2(e23, unit2) = e23
% 244.83/48.86    (4)   ~ (unit2 = e23)
% 244.83/48.86    (5)   ~ (e23 = e21)
% 244.83/48.86    (6)  op2(e23, e21) = e24
% 244.83/48.86    (7)   ~ (all_16_19 = e20)
% 244.83/48.86    (8)  op2(e23, e23) = e21
% 244.83/48.86    (9)  all_24_2 = e22
% 244.83/48.86    (10)   ~ (e23 = e22)
% 244.83/48.86    (11)  op2(e20, unit2) = e20
% 244.83/48.86    (12)  op2(e21, e23) = all_16_8
% 244.83/48.86    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (14)   ~ (e23 = e20)
% 244.83/48.86    (15)   ~ (all_16_7 = e23)
% 244.83/48.86    (16)  op2(e24, e23) = e22
% 244.83/48.86    (17)   ~ (all_16_10 = e22)
% 244.83/48.86    (18)   ~ (e24 = e21)
% 244.83/48.86    (19)  op2(e20, e22) = all_16_14
% 244.83/48.86    (20)   ~ (e22 = e21)
% 244.83/48.86    (21)  op2(e23, e22) = e20
% 244.83/48.86    (22)   ~ (all_16_14 = e20)
% 244.83/48.86    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.83/48.86    (24)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.83/48.86              e23) = e21)
% 244.83/48.86    (25)  op2(e20, e22) = e24
% 244.83/48.86    (26)   ~ (all_16_8 = e23)
% 244.83/48.86    (27)  op2(e22, e23) = all_16_7
% 244.83/48.86    (28)  op2(unit2, e22) = e22
% 244.83/48.86    (29)   ~ (e24 = e22)
% 244.83/48.86    (30)  all_24_17 = e23
% 244.83/48.86    (31)   ~ (e24 = e23)
% 244.83/48.86    (32)  op2(e23, e21) = all_10_1
% 244.83/48.86    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.83/48.86            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.83/48.86    (34)  op2(e20, e21) = all_16_19
% 244.83/48.86    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | BETA: splitting (24) gives:
% 244.83/48.86  | 
% 244.83/48.86  | Case 1:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (37)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | ALPHA: (37) implies:
% 244.83/48.86  | |   (38)  op2(e20, e24) = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (11), (13), (17), (19), (20), (22),
% 244.83/48.86  | |            (23), (25), (28), (32), (34), (38) are inconsistent by sub-proof
% 244.83/48.86  | |            #770.
% 244.83/48.86  | | 
% 244.83/48.86  | Case 2:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (39)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | ALPHA: (39) implies:
% 244.83/48.86  | |   (40)  all_24_21 = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (5), (6), (8), (9), (10), (12), (13), (14), (15), (16), (18),
% 244.83/48.86  | |            (21), (26), (27), (29), (30), (31), (32), (33), (35), (36), (40)
% 244.83/48.86  | |            are inconsistent by sub-proof #765.
% 244.83/48.86  | | 
% 244.83/48.86  | End of split
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #560 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  all_24_6 = e24 & op2(e22, e24) = e24
% 244.83/48.86    (2)  all_24_6 = e23
% 244.83/48.86    (3)   ~ (e24 = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | ALPHA: (1) implies:
% 244.83/48.86  |   (4)  all_24_6 = e24
% 244.83/48.86  | 
% 244.83/48.86  | COMBINE_EQS: (2), (4) imply:
% 244.83/48.86  |   (5)  e24 = e23
% 244.83/48.86  | 
% 244.83/48.86  | REDUCE: (3), (5) imply:
% 244.83/48.86  |   (6)  $false
% 244.83/48.86  | 
% 244.83/48.86  | CLOSE: (6) is inconsistent.
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #561 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)   ~ (e24 = e20)
% 244.83/48.86    (2)   ~ (e23 = e21)
% 244.83/48.86    (3)  all_24_6 = e23
% 244.83/48.86    (4)  op2(e23, e21) = e24
% 244.83/48.86    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.86           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.86           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.86    (6)  op2(e23, e23) = e21
% 244.83/48.86    (7)  all_24_2 = e22
% 244.83/48.86    (8)   ~ (e23 = e22)
% 244.83/48.86    (9)   ~ (e22 = e20)
% 244.83/48.86    (10)  op2(e21, e23) = all_16_8
% 244.83/48.86    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (12)  all_24_21 = e23
% 244.83/48.86    (13)   ~ (e23 = e20)
% 244.83/48.86    (14)   ~ (all_16_7 = e23)
% 244.83/48.86    (15)  op2(e24, e23) = e22
% 244.83/48.86    (16)   ~ (e24 = e21)
% 244.83/48.86    (17)   ~ (e22 = e21)
% 244.83/48.86    (18)  op2(e23, e22) = e20
% 244.83/48.86    (19)  all_24_1 = e22
% 244.83/48.86    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.83/48.86            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.83/48.86    (21)   ~ (all_16_8 = e23)
% 244.83/48.86    (22)  op2(e22, e23) = all_16_7
% 244.83/48.86    (23)   ~ (e21 = e20)
% 244.83/48.86    (24)   ~ (e24 = e22)
% 244.83/48.86    (25)  all_24_17 = e23
% 244.83/48.86    (26)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.83/48.86            = e21)
% 244.83/48.86    (27)   ~ (e24 = e23)
% 244.83/48.86    (28)  op2(e23, e21) = all_10_1
% 244.83/48.86    (29)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.83/48.86            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.83/48.86    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (31)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.83/48.86            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.83/48.86            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.83/48.86    (32)  all_24_3 = e21
% 244.83/48.86    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | BETA: splitting (26) gives:
% 244.83/48.86  | 
% 244.83/48.86  | Case 1:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (34)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (11), (13), (16), (18), (24), (25),
% 244.83/48.86  | |            (27), (28), (30), (33), (34) are inconsistent by sub-proof #704.
% 244.83/48.86  | | 
% 244.83/48.86  | Case 2:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (35)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | ALPHA: (35) implies:
% 244.83/48.86  | |   (36)  all_24_7 = e21
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.83/48.86  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 244.83/48.86  | |            (25), (27), (28), (29), (30), (31), (32), (33), (36) are
% 244.83/48.86  | |            inconsistent by sub-proof #744.
% 244.83/48.86  | | 
% 244.83/48.86  | End of split
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #562 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  op2(e24, e22) = all_16_10
% 244.83/48.86    (2)   ~ (all_16_10 = e20)
% 244.83/48.86    (3)  op2(e23, unit2) = e23
% 244.83/48.86    (4)   ~ (e24 = e20)
% 244.83/48.86    (5)   ~ (e23 = e21)
% 244.83/48.86    (6)  op2(e23, e21) = e24
% 244.83/48.86    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.86           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.86           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.86    (8)  op2(e23, e23) = e21
% 244.83/48.86    (9)  all_24_2 = e22
% 244.83/48.86    (10)   ~ (e23 = e22)
% 244.83/48.86    (11)   ~ (e22 = e20)
% 244.83/48.86    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.86            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.86    (13)  op2(e23, e24) = e22
% 244.83/48.86    (14)   ~ (e23 = e20)
% 244.83/48.86    (15)  op2(e24, e23) = e22
% 244.83/48.86    (16)   ~ (e24 = e21)
% 244.83/48.86    (17)   ~ (e22 = e21)
% 244.83/48.86    (18)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.83/48.86            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.83/48.86            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.83/48.86    (19)  op2(e24, unit2) = e24
% 244.83/48.86    (20)  op2(e23, e22) = e20
% 244.83/48.86    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.83/48.86    (22)  all_24_0 = e24
% 244.83/48.86    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.86            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.86            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.86    (24)   ~ (e21 = e20)
% 244.83/48.86    (25)   ~ (e24 = e22)
% 244.83/48.86    (26)   ~ (e24 = e23)
% 244.83/48.86    (27)  op2(e23, e21) = all_10_1
% 244.83/48.86    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.86            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.86            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.86    (29)  all_24_9 = e22
% 244.83/48.86    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.86            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.86            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.86  
% 244.83/48.86  Begin of proof
% 244.83/48.86  | 
% 244.83/48.86  | BETA: splitting (18) gives:
% 244.83/48.86  | 
% 244.83/48.86  | Case 1:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (31)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 244.83/48.86  | |             e23) = e20)
% 244.83/48.86  | | 
% 244.83/48.86  | | BETA: splitting (31) gives:
% 244.83/48.86  | | 
% 244.83/48.86  | | Case 1:
% 244.83/48.86  | | | 
% 244.83/48.86  | | |   (32)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.83/48.86  | | | 
% 244.83/48.86  | | | REF_CLOSE: (4), (22), (32) are inconsistent by sub-proof #698.
% 244.83/48.86  | | | 
% 244.83/48.86  | | Case 2:
% 244.83/48.86  | | | 
% 244.83/48.86  | | |   (33)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.83/48.86  | | | 
% 244.83/48.86  | | | REF_CLOSE: (11), (12), (15), (33) are inconsistent by sub-proof #911.
% 244.83/48.86  | | | 
% 244.83/48.86  | | End of split
% 244.83/48.86  | | 
% 244.83/48.86  | Case 2:
% 244.83/48.86  | | 
% 244.83/48.86  | |   (34)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24,
% 244.83/48.86  | |             e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.83/48.86  | | 
% 244.83/48.86  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.83/48.86  | |            (13), (14), (16), (17), (19), (20), (21), (23), (24), (25), (26),
% 244.83/48.86  | |            (27), (28), (29), (30), (34) are inconsistent by sub-proof #563.
% 244.83/48.86  | | 
% 244.83/48.86  | End of split
% 244.83/48.86  | 
% 244.83/48.86  End of proof
% 244.83/48.86  
% 244.83/48.86  Sub-proof #563 shows that the following formulas are inconsistent:
% 244.83/48.86  ----------------------------------------------------------------
% 244.83/48.86    (1)  op2(e24, e22) = all_16_10
% 244.83/48.86    (2)   ~ (all_16_10 = e20)
% 244.83/48.86    (3)  op2(e23, unit2) = e23
% 244.83/48.86    (4)   ~ (e24 = e20)
% 244.83/48.87    (5)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24, e21)
% 244.83/48.87           = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.83/48.87    (6)   ~ (e23 = e21)
% 244.83/48.87    (7)  op2(e23, e21) = e24
% 244.83/48.87    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.83/48.87           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.83/48.87           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.83/48.87    (9)  op2(e23, e23) = e21
% 244.83/48.87    (10)  all_24_2 = e22
% 244.83/48.87    (11)   ~ (e23 = e22)
% 244.83/48.87    (12)   ~ (e22 = e20)
% 244.83/48.87    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.87            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.87    (14)  op2(e23, e24) = e22
% 244.83/48.87    (15)   ~ (e23 = e20)
% 244.83/48.87    (16)   ~ (e24 = e21)
% 244.83/48.87    (17)   ~ (e22 = e21)
% 244.83/48.87    (18)  op2(e24, unit2) = e24
% 244.83/48.87    (19)  op2(e23, e22) = e20
% 244.83/48.87    (20)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.83/48.87    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.83/48.87            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.83/48.87            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.83/48.87    (22)   ~ (e21 = e20)
% 244.83/48.87    (23)   ~ (e24 = e22)
% 244.83/48.87    (24)   ~ (e24 = e23)
% 244.83/48.87    (25)  op2(e23, e21) = all_10_1
% 244.83/48.87    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.83/48.87            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.83/48.87            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.83/48.87    (27)  all_24_9 = e22
% 244.83/48.87    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.83/48.87            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.83/48.87            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.83/48.87  
% 244.83/48.87  Begin of proof
% 244.83/48.87  | 
% 244.83/48.87  | BETA: splitting (5) gives:
% 244.83/48.87  | 
% 244.83/48.87  | Case 1:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (29)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.83/48.87  | | 
% 244.83/48.87  | | REF_CLOSE: (1), (2), (13), (29) are inconsistent by sub-proof #909.
% 244.83/48.87  | | 
% 244.83/48.87  | Case 2:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (30)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24,
% 244.83/48.87  | |             e20) = e20)
% 244.83/48.87  | | 
% 244.83/48.87  | | BETA: splitting (30) gives:
% 244.83/48.87  | | 
% 244.83/48.87  | | Case 1:
% 244.83/48.87  | | | 
% 244.83/48.87  | | |   (31)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.83/48.87  | | | 
% 244.83/48.87  | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 244.83/48.87  | | |            (17), (19), (21), (22), (23), (24), (25), (26), (27), (28),
% 244.83/48.87  | | |            (31) are inconsistent by sub-proof #573.
% 244.83/48.87  | | | 
% 244.83/48.87  | | Case 2:
% 244.83/48.87  | | | 
% 244.83/48.87  | | |   (32)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.83/48.87  | | | 
% 244.83/48.87  | | | ALPHA: (32) implies:
% 244.83/48.87  | | |   (33)  op2(e24, e20) = e20
% 244.83/48.87  | | | 
% 244.83/48.87  | | | REF_CLOSE: (3), (7), (11), (13), (14), (15), (18), (19), (20), (24), (25),
% 244.83/48.87  | | |            (33) are inconsistent by sub-proof #885.
% 244.83/48.87  | | | 
% 244.83/48.87  | | End of split
% 244.83/48.87  | | 
% 244.83/48.87  | End of split
% 244.83/48.87  | 
% 244.83/48.87  End of proof
% 244.83/48.87  
% 244.83/48.87  Sub-proof #564 shows that the following formulas are inconsistent:
% 244.83/48.87  ----------------------------------------------------------------
% 244.83/48.87    (1)  (all_24_9 = e23 & op2(e24, e21) = e23) | (all_24_10 = e23 & op2(e23, e21)
% 244.83/48.87           = e23)
% 244.83/48.87    (2)  op2(e23, e21) = e24
% 244.83/48.87    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.87           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.87    (4)   ~ (all_16_15 = e23)
% 244.83/48.87    (5)  op2(e24, e21) = all_16_15
% 244.83/48.87    (6)   ~ (e24 = e23)
% 244.83/48.87    (7)  op2(e23, e21) = all_10_1
% 244.83/48.87  
% 244.83/48.87  Begin of proof
% 244.83/48.87  | 
% 244.83/48.87  | BETA: splitting (1) gives:
% 244.83/48.87  | 
% 244.83/48.87  | Case 1:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (8)  all_24_9 = e23 & op2(e24, e21) = e23
% 244.83/48.87  | | 
% 244.83/48.87  | | ALPHA: (8) implies:
% 244.83/48.87  | |   (9)  op2(e24, e21) = e23
% 244.83/48.87  | | 
% 244.83/48.87  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #612.
% 244.83/48.87  | | 
% 244.83/48.87  | Case 2:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (10)  all_24_10 = e23 & op2(e23, e21) = e23
% 244.83/48.87  | | 
% 244.83/48.87  | | ALPHA: (10) implies:
% 244.83/48.87  | |   (11)  op2(e23, e21) = e23
% 244.83/48.87  | | 
% 244.83/48.87  | | REF_CLOSE: (2), (3), (6), (7), (11) are inconsistent by sub-proof #957.
% 244.83/48.87  | | 
% 244.83/48.87  | End of split
% 244.83/48.87  | 
% 244.83/48.87  End of proof
% 244.83/48.87  
% 244.83/48.87  Sub-proof #565 shows that the following formulas are inconsistent:
% 244.83/48.87  ----------------------------------------------------------------
% 244.83/48.87    (1)  op2(e21, e22) = all_16_13
% 244.83/48.87    (2)   ~ (all_16_13 = e23)
% 244.83/48.87    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.83/48.87           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.83/48.87    (4)  (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_15 = e23 & op2(e21,
% 244.83/48.87             e21) = e23) | (all_24_19 = e23 & op2(e21, e20) = e23)
% 244.83/48.87    (5)  op2(e21, e21) = all_6_2
% 244.83/48.87    (6)   ~ (all_16_23 = e23)
% 244.83/48.87    (7)  op2(e21, e20) = all_16_23
% 244.83/48.87    (8)   ~ (all_6_2 = e23)
% 244.83/48.87  
% 244.83/48.87  Begin of proof
% 244.83/48.87  | 
% 244.83/48.87  | BETA: splitting (4) gives:
% 244.83/48.87  | 
% 244.83/48.87  | Case 1:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (9)  all_24_14 = e23 & op2(e21, e22) = e23
% 244.83/48.87  | | 
% 244.83/48.87  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #719.
% 244.83/48.87  | | 
% 244.83/48.87  | Case 2:
% 244.83/48.87  | | 
% 244.83/48.87  | |   (10)  (all_24_15 = e23 & op2(e21, e21) = e23) | (all_24_19 = e23 &
% 244.83/48.87  | |           op2(e21, e20) = e23)
% 244.83/48.87  | | 
% 244.83/48.87  | | BETA: splitting (10) gives:
% 244.83/48.87  | | 
% 244.83/48.87  | | Case 1:
% 244.83/48.87  | | | 
% 244.83/48.87  | | |   (11)  all_24_15 = e23 & op2(e21, e21) = e23
% 244.83/48.87  | | | 
% 244.83/48.87  | | | REF_CLOSE: (3), (5), (8), (11) are inconsistent by sub-proof #680.
% 244.83/48.87  | | | 
% 244.83/48.87  | | Case 2:
% 244.83/48.87  | | | 
% 244.83/48.87  | | |   (12)  all_24_19 = e23 & op2(e21, e20) = e23
% 244.83/48.87  | | | 
% 244.83/48.87  | | | REF_CLOSE: (3), (6), (7), (12) are inconsistent by sub-proof #679.
% 244.83/48.87  | | | 
% 244.83/48.87  | | End of split
% 244.83/48.87  | | 
% 244.83/48.87  | End of split
% 244.83/48.87  | 
% 244.83/48.87  End of proof
% 244.83/48.87  
% 244.83/48.87  Sub-proof #566 shows that the following formulas are inconsistent:
% 244.83/48.87  ----------------------------------------------------------------
% 244.83/48.87    (1)  all_24_23 = e21
% 244.83/48.87    (2)  op2(e24, e22) = all_16_10
% 244.83/48.87    (3)  op2(e24, e24) = all_12_2
% 244.83/48.87    (4)  op2(e23, e20) = e23
% 244.83/48.87    (5)  op2(e20, e23) = e23
% 244.83/48.87    (6)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.83/48.87           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.83/48.87           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.83/48.87    (7)  all_24_24 = e20
% 244.83/48.87    (8)   ~ (all_16_10 = e20)
% 244.83/48.87    (9)  op2(e22, all_4_2) = all_4_1
% 244.83/48.87    (10)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.83/48.87              e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.83/48.87            e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.83/48.87    (11)  all_20_12 = all_4_2
% 244.83/48.87    (12)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.83/48.87            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.83/48.87            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.83/48.87    (13)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.83/48.87              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.83/48.87            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.83/48.87    (14)   ~ (all_16_20 = all_16_22)
% 244.83/48.87    (15)   ~ (all_16_15 = e24)
% 244.83/48.87    (16)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.83/48.87              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.83/48.87            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.83/48.87    (17)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.83/48.87              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.83/48.87            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.83/48.87    (18)  op2(e20, e24) = all_16_4
% 244.83/48.87    (19)   ~ (all_16_14 = e23)
% 244.88/48.87    (20)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.88/48.87              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.88/48.87            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.87    (21)   ~ (all_16_14 = all_4_2)
% 244.88/48.87    (22)   ~ (all_16_22 = all_4_2)
% 244.88/48.87    (23)   ~ (e24 = e20)
% 244.88/48.87    (24)   ~ (all_16_20 = e23)
% 244.88/48.87    (25)   ~ (e23 = e21)
% 244.88/48.87    (26)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.87              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.88/48.87            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.87    (27)  all_24_11 = e23
% 244.88/48.87    (28)  op2(e23, e21) = e24
% 244.88/48.87    (29)   ~ (all_16_1 = e21)
% 244.88/48.87    (30)  op2(e22, e21) = e23
% 244.88/48.87    (31)   ~ (all_16_19 = e20)
% 244.88/48.87    (32)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.87            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.87            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.87    (33)  op2(e23, e23) = e21
% 244.88/48.87    (34)  op2(e22, e24) = all_16_2
% 244.88/48.87    (35)  all_24_2 = e22
% 244.88/48.87    (36)   ~ (e23 = e22)
% 244.88/48.87    (37)   ~ (all_16_7 = all_4_2)
% 244.88/48.87    (38)   ~ (e22 = e20)
% 244.88/48.87    (39)  op2(e21, e23) = all_16_8
% 244.88/48.87    (40)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.88/48.87            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.88/48.87            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.88/48.87    (41)   ~ (all_6_2 = e24)
% 244.88/48.87    (42)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.87            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.87    (43)  op2(e23, e24) = e22
% 244.88/48.87    (44)  all_24_21 = e23
% 244.88/48.87    (45)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.88/48.87            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.88/48.87            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.88/48.87    (46)   ~ (e23 = e20)
% 244.88/48.87    (47)   ~ (all_16_7 = e23)
% 244.88/48.87    (48)  op2(e24, e23) = e22
% 244.88/48.87    (49)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.88/48.87              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.88/48.87            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.87    (50)  op2(e24, e22) = e23
% 244.88/48.87    (51)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.88/48.87            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.88/48.87            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.87    (52)   ~ (e24 = e21)
% 244.88/48.87    (53)  op2(e20, e22) = all_16_14
% 244.88/48.87    (54)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.87              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.87            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.87    (55)   ~ (all_16_20 = e20)
% 244.88/48.87    (56)   ~ (e22 = e21)
% 244.88/48.87    (57)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.88/48.87            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.88/48.87            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.87    (58)   ~ (all_16_1 = e20)
% 244.88/48.87    (59)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.88/48.87              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.88/48.87            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.88/48.87    (60)  all_20_12 = e24 | all_20_12 = e22 | all_20_12 = e21 | all_20_12 = e20
% 244.88/48.87    (61)  op2(e23, e22) = e20
% 244.88/48.87    (62)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.88/48.87            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.87              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.88/48.87            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 244.88/48.87            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 244.88/48.87            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 244.88/48.87            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.87          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 244.88/48.87            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.87              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 244.88/48.87            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 244.88/48.87            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 244.88/48.87            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 244.88/48.87            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.87          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 244.88/48.87            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.87              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 244.88/48.87            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 244.88/48.87              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 244.88/48.87            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.88/48.87              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.87          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.88/48.87            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.87              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 244.88/48.87            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 244.88/48.87              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 244.88/48.87            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.88/48.87              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.87          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.88/48.87            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.87              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 244.88/48.87            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 244.88/48.87              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 244.88/48.87            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.88/48.87              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.87          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 244.88/48.87            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.87              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 244.88/48.87            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 244.88/48.87              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 244.88/48.87            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 244.88/48.87              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.87          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 244.88/48.87            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.87              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 244.88/48.87            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 244.88/48.87              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 244.88/48.87            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 244.88/48.87              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.87          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 244.88/48.87            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.87              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 244.88/48.87            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 244.88/48.87              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 244.88/48.87            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.88/48.87              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.88/48.87          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 244.88/48.87            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.87              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 244.88/48.87            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 244.88/48.87              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 244.88/48.87            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.88/48.87              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.87          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 244.88/48.87            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.87              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 244.88/48.87            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 244.88/48.87              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 244.88/48.87            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.88/48.87              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.87    (63)   ~ (all_16_1 = e23)
% 244.88/48.87    (64)   ~ (all_16_15 = e23)
% 244.88/48.87    (65)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.88/48.87              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.88/48.87            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.87    (66)   ~ (all_16_20 = e22)
% 244.88/48.87    (67)   ~ (all_4_2 = e23)
% 244.88/48.87    (68)  all_24_12 = e23
% 244.88/48.87    (69)   ~ (all_12_2 = e22)
% 244.88/48.87    (70)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.88/48.87              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 244.88/48.87            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.88/48.87    (71)   ~ (all_16_15 = e22)
% 244.88/48.87    (72)  op2(e24, e20) = all_16_20
% 244.88/48.87    (73)   ~ (all_16_20 = all_12_2)
% 244.88/48.87    (74)  all_24_1 = e22
% 244.88/48.87    (75)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.88/48.87            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.87            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.87    (76)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 = e20
% 244.88/48.87    (77)  all_20_14 = all_16_22
% 244.88/48.87    (78)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.88/48.87            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.88/48.87            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.88/48.87    (79)  all_24_4 = e23
% 244.88/48.87    (80)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.87            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.87            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.87    (81)   ~ (all_16_22 = e23)
% 244.88/48.87    (82)   ~ (all_16_8 = e23)
% 244.88/48.87    (83)  op2(e22, e23) = all_16_7
% 244.88/48.87    (84)   ~ (all_16_19 = e24)
% 244.88/48.87    (85)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.88/48.87              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 244.88/48.87            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.87    (86)  op2(e21, e21) = all_6_2
% 244.88/48.87    (87)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.87            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.87            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.87    (88)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.88/48.87    (89)   ~ (all_16_4 = e22)
% 244.88/48.87    (90)   ~ (e21 = e20)
% 244.88/48.87    (91)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.88/48.87            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.88/48.87            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.88/48.87    (92)  op2(e24, e21) = all_16_15
% 244.88/48.87    (93)   ~ (e24 = e22)
% 244.88/48.87    (94)  all_24_17 = e23
% 244.88/48.87    (95)  op2(e23, e24) = all_16_1
% 244.88/48.87    (96)   ~ (e24 = e23)
% 244.88/48.87    (97)  op2(e23, e21) = all_10_1
% 244.88/48.87    (98)   ~ (all_12_2 = e23)
% 244.88/48.87    (99)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.87            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.87            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.87    (100)  op2(all_4_1, e22) = all_4_0
% 244.88/48.87    (101)  op2(e22, e22) = all_4_2
% 244.88/48.87    (102)  op2(e20, e21) = all_16_19
% 244.88/48.87    (103)   ~ (all_16_8 = e22)
% 244.88/48.87    (104)  all_20_5 = all_16_1
% 244.88/48.87    (105)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 244.88/48.87               e23) = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 244.88/48.87             e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.87    (106)   ~ (all_6_2 = e23)
% 244.88/48.87    (107)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 244.88/48.87               e23) = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 =
% 244.88/48.87             e21 & op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.88/48.87    (108)  all_24_5 = e20
% 244.88/48.87    (109)   ~ (all_16_2 = all_16_22)
% 244.88/48.87    (110)   ~ (all_16_2 = all_4_2)
% 244.88/48.87    (111)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.88/48.87               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.88/48.87             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.88/48.87             e21)
% 244.88/48.87    (112)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.88/48.87               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.88/48.87             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.88/48.87    (113)  all_24_3 = e21
% 244.88/48.87    (114)  op2(e21, e24) = e23
% 244.88/48.87    (115)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.88/48.87               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.88/48.87             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.87  
% 244.88/48.87  Begin of proof
% 244.88/48.87  | 
% 244.88/48.87  | BETA: splitting (70) gives:
% 244.88/48.87  | 
% 244.88/48.87  | Case 1:
% 244.88/48.87  | | 
% 244.88/48.87  | |   (116)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 &
% 244.88/48.87  | |            op2(e23, e21) = e22)
% 244.88/48.87  | | 
% 244.88/48.87  | | REF_CLOSE: (2), (7), (8), (12), (15), (16), (18), (23), (25), (26), (27),
% 244.88/48.87  | |            (28), (32), (33), (35), (36), (38), (39), (42), (43), (45), (46),
% 244.88/48.87  | |            (47), (48), (50), (51), (52), (54), (56), (57), (61), (65), (68),
% 244.88/48.87  | |            (74), (75), (79), (80), (82), (83), (84), (87), (89), (90), (92),
% 244.88/48.87  | |            (93), (94), (96), (97), (99), (102), (105), (108), (112), (113),
% 244.88/48.87  | |            (115), (116) are inconsistent by sub-proof #568.
% 244.88/48.87  | | 
% 244.88/48.87  | Case 2:
% 244.88/48.87  | | 
% 244.88/48.87  | |   (117)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22 &
% 244.88/48.87  | |            op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 244.88/48.87  | | 
% 244.88/48.87  | | BETA: splitting (117) gives:
% 244.88/48.87  | | 
% 244.88/48.87  | | Case 1:
% 244.88/48.87  | | | 
% 244.88/48.87  | | |   (118)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.88/48.87  | | | 
% 244.88/48.87  | | | REF_CLOSE: (25), (27), (28), (29), (33), (36), (42), (46), (58), (61),
% 244.88/48.87  | | |            (63), (88), (94), (95), (96), (97), (104), (115), (118) are
% 244.88/48.87  | | |            inconsistent by sub-proof #567.
% 244.88/48.87  | | | 
% 244.88/48.87  | | Case 2:
% 244.88/48.87  | | | 
% 244.88/48.87  | | |   (119)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 244.88/48.87  | | |            op2(e20, e21) = e22)
% 244.88/48.87  | | | 
% 244.88/48.87  | | | BETA: splitting (119) gives:
% 244.88/48.87  | | | 
% 244.88/48.87  | | | Case 1:
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | |   (120)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.88/48.87  | | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 244.88/48.87  | | | |            (23), (24), (25), (26), (27), (28), (30), (31), (32), (33),
% 244.88/48.87  | | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 244.88/48.87  | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 244.88/48.87  | | | |            (54), (55), (56), (57), (59), (60), (61), (62), (64), (65),
% 244.88/48.87  | | | |            (66), (67), (68), (69), (71), (72), (73), (74), (75), (76),
% 244.88/48.87  | | | |            (77), (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 244.88/48.87  | | | |            (87), (89), (90), (91), (92), (93), (94), (96), (97), (98),
% 244.88/48.87  | | | |            (99), (100), (101), (102), (103), (105), (106), (107), (108),
% 244.88/48.87  | | | |            (109), (110), (111), (112), (113), (114), (115), (120) are
% 244.88/48.87  | | | |            inconsistent by sub-proof #584.
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | Case 2:
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | |   (121)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | | REF_CLOSE: (1), (23), (25), (28), (33), (35), (36), (38), (42), (46),
% 244.88/48.87  | | | |            (52), (56), (61), (87), (93), (96), (97), (105), (108),
% 244.88/48.87  | | | |            (115), (121) are inconsistent by sub-proof #784.
% 244.88/48.87  | | | | 
% 244.88/48.87  | | | End of split
% 244.88/48.87  | | | 
% 244.88/48.87  | | End of split
% 244.88/48.87  | | 
% 244.88/48.87  | End of split
% 244.88/48.87  | 
% 244.88/48.87  End of proof
% 244.88/48.87  
% 244.88/48.87  Sub-proof #567 shows that the following formulas are inconsistent:
% 244.88/48.87  ----------------------------------------------------------------
% 244.88/48.87    (1)   ~ (e23 = e21)
% 244.88/48.87    (2)  all_24_11 = e23
% 244.88/48.87    (3)  op2(e23, e21) = e24
% 244.88/48.87    (4)   ~ (all_16_1 = e21)
% 244.88/48.87    (5)  op2(e23, e23) = e21
% 244.88/48.87    (6)   ~ (e23 = e22)
% 244.88/48.87    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.87           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.87    (8)   ~ (e23 = e20)
% 244.88/48.87    (9)   ~ (all_16_1 = e20)
% 244.88/48.87    (10)  op2(e23, e22) = e20
% 244.88/48.87    (11)   ~ (all_16_1 = e23)
% 244.88/48.87    (12)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 244.88/48.87    (13)  all_24_17 = e23
% 244.88/48.87    (14)  op2(e23, e24) = all_16_1
% 244.88/48.87    (15)   ~ (e24 = e23)
% 244.88/48.87    (16)  op2(e23, e21) = all_10_1
% 244.88/48.87    (17)  all_20_5 = all_16_1
% 244.88/48.87    (18)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.88/48.87    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.87            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.87            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.87  
% 244.88/48.87  Begin of proof
% 244.88/48.87  | 
% 244.88/48.87  | ALPHA: (18) implies:
% 244.88/48.87  |   (20)  all_24_11 = e22
% 244.88/48.87  | 
% 244.88/48.87  | COMBINE_EQS: (2), (20) imply:
% 244.88/48.87  |   (21)  e23 = e22
% 244.88/48.87  | 
% 244.88/48.87  | COMBINE_EQS: (13), (21) imply:
% 244.88/48.87  |   (22)  all_24_17 = e22
% 244.88/48.87  | 
% 244.88/48.87  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 244.88/48.87  |            (15), (16), (17), (19), (22) are inconsistent by sub-proof #855.
% 244.88/48.87  | 
% 244.88/48.87  End of proof
% 244.88/48.87  
% 244.88/48.87  Sub-proof #568 shows that the following formulas are inconsistent:
% 244.88/48.87  ----------------------------------------------------------------
% 244.88/48.87    (1)  op2(e24, e22) = all_16_10
% 244.88/48.87    (2)  all_24_24 = e20
% 244.88/48.87    (3)   ~ (all_16_10 = e20)
% 244.88/48.87    (4)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.88/48.87           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.88/48.87           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.87    (5)   ~ (all_16_15 = e24)
% 244.88/48.87    (6)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 244.88/48.87           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.88/48.87           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.88/48.87    (7)  op2(e20, e24) = all_16_4
% 244.88/48.87    (8)   ~ (e24 = e20)
% 244.88/48.87    (9)   ~ (e23 = e21)
% 244.88/48.87    (10)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.87              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.88/48.87            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.87    (11)  all_24_11 = e23
% 244.88/48.88    (12)  op2(e23, e21) = e24
% 244.88/48.88    (13)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.88            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.88            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.88    (14)  op2(e23, e23) = e21
% 244.88/48.88    (15)  all_24_2 = e22
% 244.88/48.88    (16)   ~ (e23 = e22)
% 244.88/48.88    (17)   ~ (e22 = e20)
% 244.88/48.88    (18)  op2(e21, e23) = all_16_8
% 244.88/48.88    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.88            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.88    (20)  op2(e23, e24) = e22
% 244.88/48.88    (21)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.88/48.88            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.88/48.88            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.88/48.88    (22)   ~ (e23 = e20)
% 244.88/48.88    (23)   ~ (all_16_7 = e23)
% 244.88/48.88    (24)  op2(e24, e23) = e22
% 244.88/48.88    (25)  op2(e24, e22) = e23
% 244.88/48.88    (26)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.88/48.88            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.88/48.88            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.88    (27)   ~ (e24 = e21)
% 244.88/48.88    (28)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.88              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.88            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.88    (29)   ~ (e22 = e21)
% 244.88/48.88    (30)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.88/48.88            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.88/48.88            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.88    (31)  op2(e23, e22) = e20
% 244.88/48.88    (32)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.88/48.88              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.88/48.88            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.88    (33)  all_24_12 = e23
% 244.88/48.88    (34)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 244.88/48.88              e21) = e22)
% 244.88/48.88    (35)  all_24_1 = e22
% 244.88/48.88    (36)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.88/48.88            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.88            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.88    (37)  all_24_4 = e23
% 244.88/48.88    (38)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.88            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.88            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.88    (39)   ~ (all_16_8 = e23)
% 244.88/48.88    (40)  op2(e22, e23) = all_16_7
% 244.88/48.88    (41)   ~ (all_16_19 = e24)
% 244.88/48.88    (42)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.88            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.88            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.88    (43)   ~ (all_16_4 = e22)
% 244.88/48.88    (44)   ~ (e21 = e20)
% 244.88/48.88    (45)  op2(e24, e21) = all_16_15
% 244.88/48.88    (46)   ~ (e24 = e22)
% 244.88/48.88    (47)  all_24_17 = e23
% 244.88/48.88    (48)   ~ (e24 = e23)
% 244.88/48.88    (49)  op2(e23, e21) = all_10_1
% 244.88/48.88    (50)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.88            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.88    (51)  op2(e20, e21) = all_16_19
% 244.88/48.88    (52)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.88            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.88            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.88    (53)  all_24_5 = e20
% 244.88/48.88    (54)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.88/48.88            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.88/48.88            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.88/48.88    (55)  all_24_3 = e21
% 244.88/48.88    (56)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.88            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.88  
% 244.88/48.88  Begin of proof
% 244.88/48.88  | 
% 244.88/48.88  | BETA: splitting (34) gives:
% 244.88/48.88  | 
% 244.88/48.88  | Case 1:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (57)  all_24_9 = e22 & op2(e24, e21) = e22
% 244.88/48.88  | | 
% 244.88/48.88  | | ALPHA: (57) implies:
% 244.88/48.88  | |   (58)  all_24_9 = e22
% 244.88/48.88  | | 
% 244.88/48.88  | | BETA: splitting (30) gives:
% 244.88/48.88  | | 
% 244.88/48.88  | | Case 1:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (59)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 244.88/48.88  | | |           op2(e24, e23) = e20)
% 244.88/48.88  | | | 
% 244.88/48.88  | | | BETA: splitting (59) gives:
% 244.88/48.88  | | | 
% 244.88/48.88  | | | Case 1:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (60)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | ALPHA: (60) implies:
% 244.88/48.88  | | | |   (61)  all_24_0 = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | BETA: splitting (36) gives:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | Case 1:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (62)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 244.88/48.88  | | | | |           op2(e24, e23) = e24)
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | BETA: splitting (62) gives:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | Case 1:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (63)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | ALPHA: (63) implies:
% 244.88/48.88  | | | | | |   (64)  all_24_0 = e24
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.88/48.88  | | | | | |            (14), (15), (16), (17), (18), (19), (20), (22), (23),
% 244.88/48.88  | | | | | |            (24), (26), (27), (28), (29), (31), (32), (33), (35),
% 244.88/48.88  | | | | | |            (38), (39), (40), (41), (42), (43), (44), (46), (47),
% 244.88/48.88  | | | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 244.88/48.88  | | | | | |            (58), (64) are inconsistent by sub-proof #570.
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | Case 2:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (65)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | REF_CLOSE: (35), (46), (65) are inconsistent by sub-proof #870.
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | End of split
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | Case 2:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (66)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.88  | | | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) =
% 244.88/48.88  | | | | |           e24)
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | REF_CLOSE: (5), (8), (9), (12), (14), (15), (16), (17), (19), (21),
% 244.88/48.88  | | | | |            (22), (24), (25), (27), (29), (31), (37), (42), (44), (45),
% 244.88/48.88  | | | | |            (46), (47), (48), (49), (52), (53), (56), (58), (61), (66)
% 244.88/48.88  | | | | |            are inconsistent by sub-proof #569.
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | End of split
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | Case 2:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (67)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | REF_CLOSE: (17), (19), (24), (67) are inconsistent by sub-proof #911.
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | End of split
% 244.88/48.88  | | | 
% 244.88/48.88  | | Case 2:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (68)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.88/48.88  | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.88  | | | 
% 244.88/48.88  | | | BETA: splitting (68) gives:
% 244.88/48.88  | | | 
% 244.88/48.88  | | | Case 1:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (69)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | REF_CLOSE: (1), (3), (19), (69) are inconsistent by sub-proof #909.
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | Case 2:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (70)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 244.88/48.88  | | | |           op2(e24, e20) = e20)
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | BETA: splitting (70) gives:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | Case 1:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (71)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | REF_CLOSE: (8), (9), (12), (13), (14), (15), (16), (17), (19), (22),
% 244.88/48.88  | | | | |            (27), (29), (31), (42), (44), (46), (48), (49), (52), (56),
% 244.88/48.88  | | | | |            (58), (71) are inconsistent by sub-proof #573.
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | Case 2:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (72)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | ALPHA: (72) implies:
% 244.88/48.88  | | | | |   (73)  all_24_16 = e20
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | BETA: splitting (36) gives:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | Case 1:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (74)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 244.88/48.88  | | | | | |           op2(e24, e23) = e24)
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | BETA: splitting (74) gives:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | Case 1:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (75)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | ALPHA: (75) implies:
% 244.88/48.88  | | | | | | |   (76)  all_24_0 = e24
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.88/48.88  | | | | | | |            (14), (15), (16), (17), (18), (19), (20), (22), (23),
% 244.88/48.88  | | | | | | |            (24), (26), (27), (28), (29), (31), (32), (33), (35),
% 244.88/48.88  | | | | | | |            (38), (39), (40), (41), (42), (43), (44), (46), (47),
% 244.88/48.88  | | | | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 244.88/48.88  | | | | | | |            (58), (76) are inconsistent by sub-proof #570.
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | Case 2:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (77)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | REF_CLOSE: (35), (46), (77) are inconsistent by sub-proof #870.
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | End of split
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | Case 2:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (78)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.88  | | | | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) =
% 244.88/48.88  | | | | | |           e24)
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | BETA: splitting (78) gives:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | Case 1:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (79)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | ALPHA: (79) implies:
% 244.88/48.88  | | | | | | |   (80)  op2(e24, e22) = e24
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | REF_CLOSE: (19), (25), (48), (80) are inconsistent by sub-proof
% 244.88/48.88  | | | | | | |            #660.
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | Case 2:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (81)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.88/48.88  | | | | | | |           & op2(e24, e20) = e24)
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | REF_CLOSE: (5), (8), (19), (45), (73), (81) are inconsistent by
% 244.88/48.88  | | | | | | |            sub-proof #753.
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | End of split
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | End of split
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | End of split
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | End of split
% 244.88/48.88  | | | 
% 244.88/48.88  | | End of split
% 244.88/48.88  | | 
% 244.88/48.88  | Case 2:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (82)  all_24_10 = e22 & op2(e23, e21) = e22
% 244.88/48.88  | | 
% 244.88/48.88  | | ALPHA: (82) implies:
% 244.88/48.88  | |   (83)  op2(e23, e21) = e22
% 244.88/48.88  | | 
% 244.88/48.88  | | REF_CLOSE: (12), (19), (46), (49), (83) are inconsistent by sub-proof #963.
% 244.88/48.88  | | 
% 244.88/48.88  | End of split
% 244.88/48.88  | 
% 244.88/48.88  End of proof
% 244.88/48.88  
% 244.88/48.88  Sub-proof #569 shows that the following formulas are inconsistent:
% 244.88/48.88  ----------------------------------------------------------------
% 244.88/48.88    (1)   ~ (all_16_15 = e24)
% 244.88/48.88    (2)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24, e21)
% 244.88/48.88           = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.88    (3)   ~ (e24 = e20)
% 244.88/48.88    (4)   ~ (e23 = e21)
% 244.88/48.88    (5)  op2(e23, e21) = e24
% 244.88/48.88    (6)  op2(e23, e23) = e21
% 244.88/48.88    (7)  all_24_2 = e22
% 244.88/48.88    (8)   ~ (e23 = e22)
% 244.88/48.88    (9)  all_24_0 = e20
% 244.88/48.88    (10)   ~ (e22 = e20)
% 244.88/48.88    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.88            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.88    (12)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.88/48.88            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.88/48.88            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.88/48.88    (13)   ~ (e23 = e20)
% 244.88/48.88    (14)  op2(e24, e23) = e22
% 244.88/48.88    (15)  op2(e24, e22) = e23
% 244.88/48.88    (16)   ~ (e24 = e21)
% 244.88/48.88    (17)   ~ (e22 = e21)
% 244.88/48.88    (18)  op2(e23, e22) = e20
% 244.88/48.88    (19)  all_24_4 = e23
% 244.88/48.88    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.88            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.88            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.88    (21)   ~ (e21 = e20)
% 244.88/48.88    (22)  op2(e24, e21) = all_16_15
% 244.88/48.88    (23)   ~ (e24 = e22)
% 244.88/48.88    (24)  all_24_17 = e23
% 244.88/48.88    (25)   ~ (e24 = e23)
% 244.88/48.88    (26)  op2(e23, e21) = all_10_1
% 244.88/48.88    (27)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.88            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.88            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.88    (28)  all_24_9 = e22
% 244.88/48.88    (29)  all_24_5 = e20
% 244.88/48.88    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.88            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.88  
% 244.88/48.88  Begin of proof
% 244.88/48.88  | 
% 244.88/48.88  | BETA: splitting (2) gives:
% 244.88/48.88  | 
% 244.88/48.88  | Case 1:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (31)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.88/48.88  | | 
% 244.88/48.88  | | ALPHA: (31) implies:
% 244.88/48.88  | |   (32)  op2(e24, e22) = e24
% 244.88/48.88  | | 
% 244.88/48.88  | | REF_CLOSE: (11), (15), (25), (32) are inconsistent by sub-proof #660.
% 244.88/48.88  | | 
% 244.88/48.88  | Case 2:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (33)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24,
% 244.88/48.88  | |             e20) = e24)
% 244.88/48.88  | | 
% 244.88/48.88  | | BETA: splitting (33) gives:
% 244.88/48.88  | | 
% 244.88/48.88  | | Case 1:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (34)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.88/48.88  | | | 
% 244.88/48.88  | | | REF_CLOSE: (1), (11), (22), (34) are inconsistent by sub-proof #862.
% 244.88/48.88  | | | 
% 244.88/48.88  | | Case 2:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (35)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.88/48.88  | | | 
% 244.88/48.88  | | | ALPHA: (35) implies:
% 244.88/48.88  | | |   (36)  all_24_16 = e24
% 244.88/48.88  | | | 
% 244.88/48.88  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.88/48.88  | | |            (14), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 244.88/48.88  | | |            (26), (27), (28), (29), (30), (36) are inconsistent by
% 244.88/48.88  | | |            sub-proof #657.
% 244.88/48.88  | | | 
% 244.88/48.88  | | End of split
% 244.88/48.88  | | 
% 244.88/48.88  | End of split
% 244.88/48.88  | 
% 244.88/48.88  End of proof
% 244.88/48.88  
% 244.88/48.88  Sub-proof #570 shows that the following formulas are inconsistent:
% 244.88/48.88  ----------------------------------------------------------------
% 244.88/48.88    (1)  all_24_24 = e20
% 244.88/48.88    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.88/48.88           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.88/48.88           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.88    (3)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 244.88/48.88           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.88/48.88           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.88/48.88    (4)  op2(e20, e24) = all_16_4
% 244.88/48.88    (5)   ~ (e24 = e20)
% 244.88/48.88    (6)   ~ (e23 = e21)
% 244.88/48.88    (7)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.88             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.88/48.88           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.88    (8)  all_24_11 = e23
% 244.88/48.88    (9)  op2(e23, e21) = e24
% 244.88/48.88    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.88            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.88            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.88    (11)  op2(e23, e23) = e21
% 244.88/48.88    (12)  all_24_2 = e22
% 244.88/48.88    (13)   ~ (e23 = e22)
% 244.88/48.88    (14)   ~ (e22 = e20)
% 244.88/48.88    (15)  op2(e21, e23) = all_16_8
% 244.88/48.88    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.88            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.88    (17)  op2(e23, e24) = e22
% 244.88/48.88    (18)   ~ (e23 = e20)
% 244.88/48.88    (19)   ~ (all_16_7 = e23)
% 244.88/48.88    (20)  op2(e24, e23) = e22
% 244.88/48.88    (21)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.88/48.88            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.88/48.88            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.88    (22)   ~ (e24 = e21)
% 244.88/48.88    (23)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.88              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.88            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.88    (24)   ~ (e22 = e21)
% 244.88/48.88    (25)  op2(e23, e22) = e20
% 244.88/48.88    (26)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.88/48.88              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.88/48.88            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.88    (27)  all_24_12 = e23
% 244.88/48.88    (28)  all_24_1 = e22
% 244.88/48.88    (29)  all_24_0 = e24
% 244.88/48.88    (30)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.88            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.88            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.88    (31)   ~ (all_16_8 = e23)
% 244.88/48.88    (32)  op2(e22, e23) = all_16_7
% 244.88/48.88    (33)   ~ (all_16_19 = e24)
% 244.88/48.88    (34)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.88            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.88            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.88    (35)   ~ (all_16_4 = e22)
% 244.88/48.88    (36)   ~ (e21 = e20)
% 244.88/48.88    (37)   ~ (e24 = e22)
% 244.88/48.88    (38)  all_24_17 = e23
% 244.88/48.88    (39)   ~ (e24 = e23)
% 244.88/48.88    (40)  op2(e23, e21) = all_10_1
% 244.88/48.88    (41)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.88            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.88    (42)  op2(e20, e21) = all_16_19
% 244.88/48.88    (43)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.88            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.88            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.88    (44)  all_24_9 = e22
% 244.88/48.88    (45)  all_24_5 = e20
% 244.88/48.88    (46)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.88/48.88            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.88/48.88            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.88/48.88    (47)  all_24_3 = e21
% 244.88/48.88    (48)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.88            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.88  
% 244.88/48.88  Begin of proof
% 244.88/48.88  | 
% 244.88/48.88  | BETA: splitting (21) gives:
% 244.88/48.88  | 
% 244.88/48.88  | Case 1:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (49)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 244.88/48.88  | |             e24) = e20)
% 244.88/48.88  | | 
% 244.88/48.88  | | REF_CLOSE: (5), (6), (9), (10), (11), (13), (14), (16), (18), (22), (24),
% 244.88/48.88  | |            (25), (29), (34), (36), (37), (39), (40), (43), (48), (49) are
% 244.88/48.88  | |            inconsistent by sub-proof #667.
% 244.88/48.88  | | 
% 244.88/48.88  | Case 2:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (50)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 & op2(e21,
% 244.88/48.88  | |             e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.88  | | 
% 244.88/48.88  | | BETA: splitting (50) gives:
% 244.88/48.88  | | 
% 244.88/48.88  | | Case 1:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (51)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.88/48.88  | | | 
% 244.88/48.88  | | | ALPHA: (51) implies:
% 244.88/48.88  | | |   (52)  all_24_6 = e20
% 244.88/48.88  | | | 
% 244.88/48.88  | | | BETA: splitting (2) gives:
% 244.88/48.88  | | | 
% 244.88/48.88  | | | Case 1:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (53)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 &
% 244.88/48.88  | | | |           op2(e23, e24) = e21)
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | REF_CLOSE: (5), (6), (9), (11), (13), (14), (16), (18), (22), (24),
% 244.88/48.88  | | | |            (25), (29), (34), (37), (39), (40), (43), (45), (48), (53)
% 244.88/48.88  | | | |            are inconsistent by sub-proof #665.
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | Case 2:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (54)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.88/48.88  | | | |           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | BETA: splitting (54) gives:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | Case 1:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (55)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | ALPHA: (55) implies:
% 244.88/48.88  | | | | |   (56)  all_24_6 = e21
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | REF_CLOSE: (36), (52), (56) are inconsistent by sub-proof #793.
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | Case 2:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (57)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 244.88/48.88  | | | | |           op2(e20, e24) = e21)
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | BETA: splitting (57) gives:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | Case 1:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (58)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | REF_CLOSE: (6), (9), (11), (12), (13), (16), (18), (22), (25), (27),
% 244.88/48.88  | | | | | |            (37), (38), (39), (40), (43), (48), (58) are inconsistent
% 244.88/48.88  | | | | | |            by sub-proof #747.
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | Case 2:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (59)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | ALPHA: (59) implies:
% 244.88/48.88  | | | | | |   (60)  all_24_20 = e21
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | BETA: splitting (7) gives:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | Case 1:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (61)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24
% 244.88/48.88  | | | | | | |           & op2(e20, e23) = e24)
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | REF_CLOSE: (6), (11), (13), (15), (16), (19), (20), (22), (31),
% 244.88/48.88  | | | | | | |            (32), (39), (41), (60), (61) are inconsistent by
% 244.88/48.88  | | | | | | |            sub-proof #575.
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | Case 2:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | |   (62)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24
% 244.88/48.88  | | | | | | |           & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 244.88/48.88  | | | | | | |             e20) = e24)
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | BETA: splitting (62) gives:
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | | Case 1:
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | |   (63)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | | ALPHA: (63) implies:
% 244.88/48.88  | | | | | | | |   (64)  all_24_22 = e24
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 244.88/48.88  | | | | | | | |            (13), (14), (16), (17), (18), (19), (20), (22), (23),
% 244.88/48.88  | | | | | | | |            (24), (25), (26), (28), (30), (32), (34), (35), (36),
% 244.88/48.88  | | | | | | | |            (37), (38), (39), (40), (41), (43), (44), (45), (46),
% 244.88/48.88  | | | | | | | |            (47), (48), (64) are inconsistent by sub-proof #572.
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | Case 2:
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | |   (65)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 =
% 244.88/48.88  | | | | | | | |           e24 & op2(e20, e20) = e24)
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | | REF_CLOSE: (1), (5), (16), (33), (42), (65) are inconsistent by
% 244.88/48.88  | | | | | | | |            sub-proof #767.
% 244.88/48.88  | | | | | | | | 
% 244.88/48.88  | | | | | | | End of split
% 244.88/48.88  | | | | | | | 
% 244.88/48.88  | | | | | | End of split
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | End of split
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | End of split
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | End of split
% 244.88/48.88  | | | 
% 244.88/48.88  | | Case 2:
% 244.88/48.88  | | | 
% 244.88/48.88  | | |   (66)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 &
% 244.88/48.88  | | |           op2(e20, e24) = e20)
% 244.88/48.88  | | | 
% 244.88/48.88  | | | BETA: splitting (66) gives:
% 244.88/48.88  | | | 
% 244.88/48.88  | | | Case 1:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (67)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | REF_CLOSE: (5), (6), (9), (10), (11), (12), (13), (16), (18), (22),
% 244.88/48.88  | | | |            (24), (25), (27), (36), (37), (38), (39), (40), (43), (48),
% 244.88/48.88  | | | |            (67) are inconsistent by sub-proof #868.
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | Case 2:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | |   (68)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | ALPHA: (68) implies:
% 244.88/48.88  | | | |   (69)  all_24_20 = e20
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | BETA: splitting (7) gives:
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | | Case 1:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (70)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 244.88/48.88  | | | | |           op2(e20, e23) = e24)
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | REF_CLOSE: (5), (6), (11), (13), (15), (16), (19), (20), (31), (32),
% 244.88/48.88  | | | | |            (39), (41), (69), (70) are inconsistent by sub-proof #571.
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | Case 2:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | |   (71)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 244.88/48.88  | | | | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) =
% 244.88/48.88  | | | | |           e24)
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | BETA: splitting (71) gives:
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | | Case 1:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (72)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | ALPHA: (72) implies:
% 244.88/48.88  | | | | | |   (73)  all_24_22 = e24
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 244.88/48.88  | | | | | |            (13), (14), (16), (17), (18), (19), (20), (22), (23),
% 244.88/48.88  | | | | | |            (24), (25), (26), (28), (30), (32), (34), (35), (36),
% 244.88/48.88  | | | | | |            (37), (38), (39), (40), (41), (43), (44), (45), (46),
% 244.88/48.88  | | | | | |            (47), (48), (73) are inconsistent by sub-proof #572.
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | Case 2:
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | |   (74)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 244.88/48.88  | | | | | |           op2(e20, e20) = e24)
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | | REF_CLOSE: (1), (5), (16), (33), (42), (74) are inconsistent by
% 244.88/48.88  | | | | | |            sub-proof #767.
% 244.88/48.88  | | | | | | 
% 244.88/48.88  | | | | | End of split
% 244.88/48.88  | | | | | 
% 244.88/48.88  | | | | End of split
% 244.88/48.88  | | | | 
% 244.88/48.88  | | | End of split
% 244.88/48.88  | | | 
% 244.88/48.88  | | End of split
% 244.88/48.88  | | 
% 244.88/48.88  | End of split
% 244.88/48.88  | 
% 244.88/48.88  End of proof
% 244.88/48.88  
% 244.88/48.88  Sub-proof #571 shows that the following formulas are inconsistent:
% 244.88/48.88  ----------------------------------------------------------------
% 244.88/48.88    (1)   ~ (e24 = e20)
% 244.88/48.88    (2)   ~ (e23 = e21)
% 244.88/48.88    (3)  op2(e23, e23) = e21
% 244.88/48.88    (4)   ~ (e23 = e22)
% 244.88/48.88    (5)  op2(e21, e23) = all_16_8
% 244.88/48.88    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.88           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.88    (7)   ~ (all_16_7 = e23)
% 244.88/48.88    (8)  op2(e24, e23) = e22
% 244.88/48.88    (9)   ~ (all_16_8 = e23)
% 244.88/48.88    (10)  op2(e22, e23) = all_16_7
% 244.88/48.88    (11)   ~ (e24 = e23)
% 244.88/48.88    (12)  all_24_20 = e20
% 244.88/48.88    (13)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.88            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.88            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.88    (14)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.88              e23) = e24)
% 244.88/48.88  
% 244.88/48.88  Begin of proof
% 244.88/48.88  | 
% 244.88/48.88  | BETA: splitting (14) gives:
% 244.88/48.88  | 
% 244.88/48.88  | Case 1:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (15)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.88/48.88  | | 
% 244.88/48.88  | | ALPHA: (15) implies:
% 244.88/48.88  | |   (16)  all_24_20 = e24
% 244.88/48.88  | | 
% 244.88/48.88  | | COMBINE_EQS: (12), (16) imply:
% 244.88/48.88  | |   (17)  e24 = e20
% 244.88/48.88  | | 
% 244.88/48.88  | | SIMP: (17) implies:
% 244.88/48.88  | |   (18)  e24 = e20
% 244.88/48.88  | | 
% 244.88/48.88  | | REDUCE: (1), (18) imply:
% 244.88/48.88  | |   (19)  $false
% 244.88/48.88  | | 
% 244.88/48.88  | | CLOSE: (19) is inconsistent.
% 244.88/48.88  | | 
% 244.88/48.88  | Case 2:
% 244.88/48.88  | | 
% 244.88/48.88  | |   (20)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.88/48.88  | | 
% 244.88/48.88  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (20)
% 244.88/48.88  | |            are inconsistent by sub-proof #837.
% 244.88/48.88  | | 
% 244.88/48.88  | End of split
% 244.88/48.88  | 
% 244.88/48.88  End of proof
% 244.88/48.88  
% 244.88/48.88  Sub-proof #572 shows that the following formulas are inconsistent:
% 244.88/48.88  ----------------------------------------------------------------
% 244.88/48.88    (1)  all_24_24 = e20
% 244.88/48.88    (2)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23, e21)
% 244.88/48.88           = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.88/48.88           op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.88/48.88    (3)  op2(e20, e24) = all_16_4
% 244.88/48.88    (4)   ~ (e24 = e20)
% 244.88/48.88    (5)   ~ (e23 = e21)
% 244.88/48.88    (6)  all_24_11 = e23
% 244.88/48.88    (7)  op2(e23, e21) = e24
% 244.88/48.88    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.88           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.88           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.88    (9)  op2(e23, e23) = e21
% 244.88/48.88    (10)  all_24_2 = e22
% 244.88/48.88    (11)   ~ (e23 = e22)
% 244.88/48.88    (12)   ~ (e22 = e20)
% 244.88/48.88    (13)  all_24_22 = e24
% 244.88/48.88    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.88            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (15)  op2(e23, e24) = e22
% 244.88/48.89    (16)   ~ (e23 = e20)
% 244.88/48.89    (17)   ~ (all_16_7 = e23)
% 244.88/48.89    (18)  op2(e24, e23) = e22
% 244.88/48.89    (19)   ~ (e24 = e21)
% 244.88/48.89    (20)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.89              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.89            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.89    (21)   ~ (e22 = e21)
% 244.88/48.89    (22)  op2(e23, e22) = e20
% 244.88/48.89    (23)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.88/48.89              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.88/48.89            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.89    (24)  all_24_1 = e22
% 244.88/48.89    (25)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.89            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.89    (26)  op2(e22, e23) = all_16_7
% 244.88/48.89    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.89            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.89            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.89    (28)   ~ (all_16_4 = e22)
% 244.88/48.89    (29)   ~ (e21 = e20)
% 244.88/48.89    (30)   ~ (e24 = e22)
% 244.88/48.89    (31)  all_24_17 = e23
% 244.88/48.89    (32)   ~ (e24 = e23)
% 244.88/48.89    (33)  op2(e23, e21) = all_10_1
% 244.88/48.89    (34)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.89            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.89    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.89            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.89    (36)  all_24_9 = e22
% 244.88/48.89    (37)  all_24_5 = e20
% 244.88/48.89    (38)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.88/48.89            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.88/48.89            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.88/48.89    (39)  all_24_3 = e21
% 244.88/48.89    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.89            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | BETA: splitting (23) gives:
% 244.88/48.89  | 
% 244.88/48.89  | Case 1:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (41)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 244.88/48.89  | |           op2(e20, e23) = e22)
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (12), (14), (15), (16),
% 244.88/48.89  | |            (17), (18), (19), (21), (22), (24), (25), (26), (27), (28), (29),
% 244.88/48.89  | |            (30), (31), (32), (33), (34), (35), (38), (39), (40), (41) are
% 244.88/48.89  | |            inconsistent by sub-proof #775.
% 244.88/48.89  | | 
% 244.88/48.89  | Case 2:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (42)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 244.88/48.89  | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.89  | | 
% 244.88/48.89  | | BETA: splitting (42) gives:
% 244.88/48.89  | | 
% 244.88/48.89  | | Case 1:
% 244.88/48.89  | | | 
% 244.88/48.89  | | |   (43)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.88/48.89  | | | 
% 244.88/48.89  | | | ALPHA: (43) implies:
% 244.88/48.89  | | |   (44)  all_24_22 = e22
% 244.88/48.89  | | | 
% 244.88/48.89  | | | REF_CLOSE: (13), (30), (44) are inconsistent by sub-proof #840.
% 244.88/48.89  | | | 
% 244.88/48.89  | | Case 2:
% 244.88/48.89  | | | 
% 244.88/48.89  | | |   (45)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 244.88/48.89  | | |           op2(e20, e20) = e22)
% 244.88/48.89  | | | 
% 244.88/48.89  | | | BETA: splitting (45) gives:
% 244.88/48.89  | | | 
% 244.88/48.89  | | | Case 1:
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | |   (46)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | | ALPHA: (46) implies:
% 244.88/48.89  | | | |   (47)  all_24_23 = e22
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | | BETA: splitting (20) gives:
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | | Case 1:
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | |   (48)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 &
% 244.88/48.89  | | | | |           op2(e23, e21) = e21)
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | | REF_CLOSE: (4), (5), (7), (9), (10), (11), (12), (14), (16), (19),
% 244.88/48.89  | | | | |            (21), (22), (27), (30), (32), (33), (35), (36), (37), (40),
% 244.88/48.89  | | | | |            (48) are inconsistent by sub-proof #574.
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | Case 2:
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | |   (49)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 = e21 &
% 244.88/48.89  | | | | |           op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) =
% 244.88/48.89  | | | | |           e21)
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | | BETA: splitting (49) gives:
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | | Case 1:
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | |   (50)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | | REF_CLOSE: (5), (6), (7), (9), (10), (11), (14), (16), (19), (22),
% 244.88/48.89  | | | | | |            (30), (31), (32), (33), (35), (40), (50) are inconsistent
% 244.88/48.89  | | | | | |            by sub-proof #655.
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | Case 2:
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | |   (51)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 244.88/48.89  | | | | | |           op2(e20, e21) = e21)
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | | BETA: splitting (51) gives:
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | | Case 1:
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | |   (52)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | | ALPHA: (52) implies:
% 244.88/48.89  | | | | | | |   (53)  all_24_15 = e21
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | | BETA: splitting (2) gives:
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | | Case 1:
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | |   (54)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 =
% 244.88/48.89  | | | | | | | |           e20 & op2(e23, e21) = e20)
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | | BETA: splitting (54) gives:
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | | Case 1:
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | |   (55)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 244.88/48.89  | | | | | | | | |            (16), (19), (21), (22), (27), (29), (30), (32),
% 244.88/48.89  | | | | | | | | |            (33), (35), (36), (40), (55) are inconsistent by
% 244.88/48.89  | | | | | | | | |            sub-proof #573.
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | Case 2:
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | |   (56)  all_24_10 = e20 & op2(e23, e21) = e20
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | REF_CLOSE: (4), (7), (14), (33), (56) are inconsistent by
% 244.88/48.89  | | | | | | | | |            sub-proof #591.
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | End of split
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | Case 2:
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | |   (57)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.88/48.89  | | | | | | | |           e20 & op2(e21, e21) = e20) | (all_24_23 = e20 &
% 244.88/48.89  | | | | | | | |           op2(e20, e21) = e20)
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | | BETA: splitting (57) gives:
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | | Case 1:
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | |   (58)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | ALPHA: (58) implies:
% 244.88/48.89  | | | | | | | | |   (59)  all_24_11 = e20
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | COMBINE_EQS: (6), (59) imply:
% 244.88/48.89  | | | | | | | | |   (60)  e23 = e20
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (14), (16),
% 244.88/48.89  | | | | | | | | |            (19), (21), (22), (29), (30), (31), (32), (33),
% 244.88/48.89  | | | | | | | | |            (35), (40), (60) are inconsistent by sub-proof
% 244.88/48.89  | | | | | | | | |            #833.
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | Case 2:
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | |   (61)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 =
% 244.88/48.89  | | | | | | | | |           e20 & op2(e20, e21) = e20)
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | BETA: splitting (61) gives:
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | Case 1:
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | |   (62)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | | ALPHA: (62) implies:
% 244.88/48.89  | | | | | | | | | |   (63)  all_24_15 = e20
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | | REF_CLOSE: (29), (53), (63) are inconsistent by sub-proof
% 244.88/48.89  | | | | | | | | | |            #787.
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | Case 2:
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | |   (64)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | | ALPHA: (64) implies:
% 244.88/48.89  | | | | | | | | | |   (65)  all_24_23 = e20
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 244.88/48.89  | | | | | | | | | |            (16), (19), (21), (22), (27), (29), (30), (32),
% 244.88/48.89  | | | | | | | | | |            (33), (35), (40), (47), (65) are inconsistent by
% 244.88/48.89  | | | | | | | | | |            sub-proof #585.
% 244.88/48.89  | | | | | | | | | | 
% 244.88/48.89  | | | | | | | | | End of split
% 244.88/48.89  | | | | | | | | | 
% 244.88/48.89  | | | | | | | | End of split
% 244.88/48.89  | | | | | | | | 
% 244.88/48.89  | | | | | | | End of split
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | Case 2:
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | |   (66)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | | ALPHA: (66) implies:
% 244.88/48.89  | | | | | | |   (67)  all_24_23 = e21
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | | REF_CLOSE: (4), (5), (7), (9), (10), (11), (12), (14), (16), (19),
% 244.88/48.89  | | | | | | |            (21), (22), (27), (30), (32), (33), (35), (37), (40),
% 244.88/48.89  | | | | | | |            (47), (67) are inconsistent by sub-proof #731.
% 244.88/48.89  | | | | | | | 
% 244.88/48.89  | | | | | | End of split
% 244.88/48.89  | | | | | | 
% 244.88/48.89  | | | | | End of split
% 244.88/48.89  | | | | | 
% 244.88/48.89  | | | | End of split
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | Case 2:
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | |   (68)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | | REF_CLOSE: (1), (4), (5), (7), (8), (9), (10), (11), (12), (14), (16),
% 244.88/48.89  | | | |            (19), (21), (22), (27), (29), (30), (32), (33), (35), (40),
% 244.88/48.89  | | | |            (68) are inconsistent by sub-proof #722.
% 244.88/48.89  | | | | 
% 244.88/48.89  | | | End of split
% 244.88/48.89  | | | 
% 244.88/48.89  | | End of split
% 244.88/48.89  | | 
% 244.88/48.89  | End of split
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #573 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)   ~ (e24 = e20)
% 244.88/48.89    (2)   ~ (e23 = e21)
% 244.88/48.89    (3)  op2(e23, e21) = e24
% 244.88/48.89    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.89           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.89           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.89    (5)  op2(e23, e23) = e21
% 244.88/48.89    (6)  all_24_2 = e22
% 244.88/48.89    (7)   ~ (e23 = e22)
% 244.88/48.89    (8)   ~ (e22 = e20)
% 244.88/48.89    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.89           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (10)   ~ (e23 = e20)
% 244.88/48.89    (11)   ~ (e24 = e21)
% 244.88/48.89    (12)   ~ (e22 = e21)
% 244.88/48.89    (13)  op2(e23, e22) = e20
% 244.88/48.89    (14)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.88/48.89    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.89            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.89            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.89    (16)   ~ (e21 = e20)
% 244.88/48.89    (17)   ~ (e24 = e22)
% 244.88/48.89    (18)   ~ (e24 = e23)
% 244.88/48.89    (19)  op2(e23, e21) = all_10_1
% 244.88/48.89    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.89            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.89    (21)  all_24_9 = e22
% 244.88/48.89    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.89            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | ALPHA: (14) implies:
% 244.88/48.89  |   (23)  all_24_9 = e20
% 244.88/48.89  | 
% 244.88/48.89  | COMBINE_EQS: (21), (23) imply:
% 244.88/48.89  |   (24)  e22 = e20
% 244.88/48.89  | 
% 244.88/48.89  | COMBINE_EQS: (6), (24) imply:
% 244.88/48.89  |   (25)  all_24_2 = e20
% 244.88/48.89  | 
% 244.88/48.89  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 244.88/48.89  |            (15), (16), (17), (18), (19), (20), (22), (25) are inconsistent by
% 244.88/48.89  |            sub-proof #1307.
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #574 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23, e21)
% 244.88/48.89           = e21)
% 244.88/48.89    (2)   ~ (e24 = e20)
% 244.88/48.89    (3)   ~ (e23 = e21)
% 244.88/48.89    (4)  op2(e23, e21) = e24
% 244.88/48.89    (5)  op2(e23, e23) = e21
% 244.88/48.89    (6)  all_24_2 = e22
% 244.88/48.89    (7)   ~ (e23 = e22)
% 244.88/48.89    (8)   ~ (e22 = e20)
% 244.88/48.89    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.89           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (10)   ~ (e23 = e20)
% 244.88/48.89    (11)   ~ (e24 = e21)
% 244.88/48.89    (12)   ~ (e22 = e21)
% 244.88/48.89    (13)  op2(e23, e22) = e20
% 244.88/48.89    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.89            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.89            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.89    (15)   ~ (e24 = e22)
% 244.88/48.89    (16)   ~ (e24 = e23)
% 244.88/48.89    (17)  op2(e23, e21) = all_10_1
% 244.88/48.89    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.89            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.89    (19)  all_24_9 = e22
% 244.88/48.89    (20)  all_24_5 = e20
% 244.88/48.89    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.89            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | BETA: splitting (1) gives:
% 244.88/48.89  | 
% 244.88/48.89  | Case 1:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (22)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | ALPHA: (22) implies:
% 244.88/48.89  | |   (23)  all_24_9 = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | COMBINE_EQS: (19), (23) imply:
% 244.88/48.89  | |   (24)  e22 = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | SIMP: (24) implies:
% 244.88/48.89  | |   (25)  e22 = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | COMBINE_EQS: (6), (25) imply:
% 244.88/48.89  | |   (26)  all_24_2 = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 244.88/48.89  | |            (15), (16), (17), (18), (20), (21), (26) are inconsistent by
% 244.88/48.89  | |            sub-proof #1298.
% 244.88/48.89  | | 
% 244.88/48.89  | Case 2:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (27)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (4), (9), (11), (17), (27) are inconsistent by sub-proof #789.
% 244.88/48.89  | | 
% 244.88/48.89  | End of split
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #575 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)   ~ (e23 = e21)
% 244.88/48.89    (2)  op2(e23, e23) = e21
% 244.88/48.89    (3)   ~ (e23 = e22)
% 244.88/48.89    (4)  op2(e21, e23) = all_16_8
% 244.88/48.89    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.89           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (6)   ~ (all_16_7 = e23)
% 244.88/48.89    (7)  op2(e24, e23) = e22
% 244.88/48.89    (8)   ~ (e24 = e21)
% 244.88/48.89    (9)   ~ (all_16_8 = e23)
% 244.88/48.89    (10)  op2(e22, e23) = all_16_7
% 244.88/48.89    (11)  all_24_20 = e21
% 244.88/48.89    (12)   ~ (e24 = e23)
% 244.88/48.89    (13)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.89            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.89    (14)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.89              e23) = e24)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | BETA: splitting (14) gives:
% 244.88/48.89  | 
% 244.88/48.89  | Case 1:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (15)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.88/48.89  | | 
% 244.88/48.89  | | ALPHA: (15) implies:
% 244.88/48.89  | |   (16)  all_24_20 = e24
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (8), (11), (16) are inconsistent by sub-proof #576.
% 244.88/48.89  | | 
% 244.88/48.89  | Case 2:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (17)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (17)
% 244.88/48.89  | |            are inconsistent by sub-proof #837.
% 244.88/48.89  | | 
% 244.88/48.89  | End of split
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #576 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)  all_24_20 = e24
% 244.88/48.89    (2)  all_24_20 = e21
% 244.88/48.89    (3)   ~ (e24 = e21)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | COMBINE_EQS: (1), (2) imply:
% 244.88/48.89  |   (4)  e24 = e21
% 244.88/48.89  | 
% 244.88/48.89  | SIMP: (4) implies:
% 244.88/48.89  |   (5)  e24 = e21
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (3), (5) imply:
% 244.88/48.89  |   (6)  $false
% 244.88/48.89  | 
% 244.88/48.89  | CLOSE: (6) is inconsistent.
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #577 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)   ~ (e24 = e20)
% 244.88/48.89    (2)   ~ (e23 = e21)
% 244.88/48.89    (3)  all_24_11 = e23
% 244.88/48.89    (4)  op2(e23, e21) = e24
% 244.88/48.89    (5)  op2(e23, e23) = e21
% 244.88/48.89    (6)  op2(e22, e20) = e22
% 244.88/48.89    (7)  all_24_2 = e22
% 244.88/48.89    (8)   ~ (e23 = e22)
% 244.88/48.89    (9)   ~ (e22 = e20)
% 244.88/48.89    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.89            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (11)   ~ (e23 = e20)
% 244.88/48.89    (12)   ~ (e24 = e21)
% 244.88/48.89    (13)   ~ (e22 = e21)
% 244.88/48.89    (14)  all_24_8 = e22
% 244.88/48.89    (15)  op2(e23, e22) = e20
% 244.88/48.89    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.89            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.89            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.89    (17)   ~ (e24 = e22)
% 244.88/48.89    (18)  all_24_17 = e23
% 244.88/48.89    (19)   ~ (e24 = e23)
% 244.88/48.89    (20)  op2(e23, e21) = all_10_1
% 244.88/48.89    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.89            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.89    (22)  all_24_5 = e20
% 244.88/48.89    (23)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 244.88/48.89              e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.88/48.89    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.89            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | BETA: splitting (23) gives:
% 244.88/48.89  | 
% 244.88/48.89  | Case 1:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (25)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.88/48.89  | | 
% 244.88/48.89  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 244.88/48.89  | |            (15), (16), (17), (19), (20), (21), (22), (24), (25) are
% 244.88/48.89  | |            inconsistent by sub-proof #625.
% 244.88/48.89  | | 
% 244.88/48.89  | Case 2:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (26)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 244.88/48.89  | |           op2(e22, e20) = e21)
% 244.88/48.89  | | 
% 244.88/48.89  | | BETA: splitting (26) gives:
% 244.88/48.89  | | 
% 244.88/48.89  | | Case 1:
% 244.88/48.89  | | | 
% 244.88/48.89  | | |   (27)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.88/48.89  | | | 
% 244.88/48.89  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (11), (12), (15), (17),
% 244.88/48.89  | | |            (18), (19), (20), (21), (24), (27) are inconsistent by
% 244.88/48.89  | | |            sub-proof #624.
% 244.88/48.89  | | | 
% 244.88/48.89  | | Case 2:
% 244.88/48.89  | | | 
% 244.88/48.89  | | |   (28)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.88/48.89  | | | 
% 244.88/48.89  | | | REF_CLOSE: (6), (10), (13), (28) are inconsistent by sub-proof #740.
% 244.88/48.89  | | | 
% 244.88/48.89  | | End of split
% 244.88/48.89  | | 
% 244.88/48.89  | End of split
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #578 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.88/48.89    (2)  all_24_6 = e21
% 244.88/48.89    (3)   ~ (e21 = e20)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | ALPHA: (1) implies:
% 244.88/48.89  |   (4)  all_24_6 = e20
% 244.88/48.89  | 
% 244.88/48.89  | COMBINE_EQS: (2), (4) imply:
% 244.88/48.89  |   (5)  e21 = e20
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (3), (5) imply:
% 244.88/48.89  |   (6)  $false
% 244.88/48.89  | 
% 244.88/48.89  | CLOSE: (6) is inconsistent.
% 244.88/48.89  | 
% 244.88/48.89  End of proof
% 244.88/48.89  
% 244.88/48.89  Sub-proof #579 shows that the following formulas are inconsistent:
% 244.88/48.89  ----------------------------------------------------------------
% 244.88/48.89    (1)  op2(e24, e22) = all_16_10
% 244.88/48.89    (2)  op2(e24, e24) = all_12_2
% 244.88/48.89    (3)  all_24_24 = e20
% 244.88/48.89    (4)   ~ (all_16_10 = e20)
% 244.88/48.89    (5)   ~ (all_16_23 = e22)
% 244.88/48.89    (6)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.88/48.89           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.88/48.89           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.89    (7)  all_24_14 = e22
% 244.88/48.89    (8)   ~ (all_16_15 = e24)
% 244.88/48.89    (9)  op2(unit2, e24) = e24
% 244.88/48.89    (10)  op2(e23, unit2) = e23
% 244.88/48.89    (11)   ~ (all_16_4 = all_12_2)
% 244.88/48.89    (12)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.88/48.89              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.88/48.89            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.89    (13)   ~ (unit2 = e23)
% 244.88/48.89    (14)  op2(e20, e24) = all_16_4
% 244.88/48.89    (15)   ~ (e24 = e20)
% 244.88/48.89    (16)   ~ (all_16_20 = e23)
% 244.88/48.89    (17)   ~ (e23 = e21)
% 244.88/48.89    (18)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.89              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.88/48.89            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.89    (19)  all_24_11 = e23
% 244.88/48.89    (20)  op2(e23, e21) = e24
% 244.88/48.89    (21)   ~ (all_16_19 = e20)
% 244.88/48.89    (22)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.89            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.89            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.89    (23)  op2(e23, e23) = e21
% 244.88/48.89    (24)  op2(e22, e20) = e22
% 244.88/48.89    (25)  all_24_2 = e22
% 244.88/48.89    (26)  op2(e20, unit2) = e20
% 244.88/48.89    (27)  op2(e21, e23) = all_16_8
% 244.88/48.89    (28)  op2(e20, e21) = e22
% 244.88/48.89    (29)   ~ (all_6_2 = e24)
% 244.88/48.89    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.89            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.89    (31)  all_24_23 = e22
% 244.88/48.89    (32)  op2(e23, e24) = e22
% 244.88/48.89    (33)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.88/48.89            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.88/48.89            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.88/48.89    (34)   ~ (e23 = e20)
% 244.88/48.89    (35)   ~ (all_16_7 = e23)
% 244.88/48.89    (36)  op2(e24, e23) = e22
% 244.88/48.89    (37)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.88/48.89              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.88/48.89            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.89    (38)   ~ (all_16_10 = e22)
% 244.88/48.89    (39)  op2(e24, e22) = e23
% 244.88/48.89    (40)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.88/48.89            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.88/48.89            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.89    (41)   ~ (e24 = e21)
% 244.88/48.89    (42)  op2(e20, e22) = all_16_14
% 244.88/48.89    (43)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.89              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.89            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.89    (44)   ~ (all_16_4 = e20)
% 244.88/48.89    (45)   ~ (e22 = e21)
% 244.88/48.89    (46)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.88/48.89            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.88/48.89            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.89    (47)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.88/48.89              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.88/48.89            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.88/48.89    (48)  op2(e24, unit2) = e24
% 244.88/48.89    (49)  op2(e23, e22) = e20
% 244.88/48.89    (50)   ~ (all_16_20 = e22)
% 244.88/48.89    (51)  all_24_12 = e23
% 244.88/48.89    (52)   ~ (all_16_14 = e20)
% 244.88/48.89    (53)   ~ (all_16_23 = e20)
% 244.88/48.89    (54)  op2(e24, e20) = all_16_20
% 244.88/48.89    (55)   ~ (all_16_19 = e23)
% 244.88/48.89    (56)  all_24_1 = e22
% 244.88/48.89    (57)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.88/48.89            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.89            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.89    (58)   ~ (all_16_19 = all_6_2)
% 244.88/48.89    (59)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 244.88/48.89    (60)  all_24_4 = e23
% 244.88/48.89    (61)   ~ (all_16_8 = e23)
% 244.88/48.89    (62)  op2(e22, e23) = all_16_7
% 244.88/48.89    (63)   ~ (all_16_19 = e24)
% 244.88/48.89    (64)  op2(unit2, e22) = e22
% 244.88/48.89    (65)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.88/48.89              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 244.88/48.89            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.89    (66)  op2(e21, e21) = all_6_2
% 244.88/48.89    (67)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.89            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.89            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.89    (68)   ~ (e21 = e20)
% 244.88/48.89    (69)  op2(e24, e21) = all_16_15
% 244.88/48.89    (70)  all_24_17 = e23
% 244.88/48.89    (71)   ~ (all_16_23 = e23)
% 244.88/48.89    (72)   ~ (e24 = e23)
% 244.88/48.89    (73)  op2(e23, e21) = all_10_1
% 244.88/48.89    (74)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.89            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.89    (75)  op2(e21, unit2) = e21
% 244.88/48.89    (76)  op2(e20, e21) = all_16_19
% 244.88/48.89    (77)   ~ (all_16_20 = all_16_23)
% 244.88/48.89    (78)  op2(e21, e20) = all_16_23
% 244.88/48.89    (79)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.89            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.89            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.89    (80)   ~ (all_6_2 = e23)
% 244.88/48.89    (81)  all_24_5 = e20
% 244.88/48.89    (82)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.88/48.89              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.88/48.89            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.89    (83)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.89            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.89            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.89  
% 244.88/48.89  Begin of proof
% 244.88/48.89  | 
% 244.88/48.89  | GROUND_INST: instantiating (30) with all_16_19, e22, e21, e20, simplifying
% 244.88/48.89  |              with (28), (76) gives:
% 244.88/48.89  |   (84)  all_16_19 = e22
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (58), (84) imply:
% 244.88/48.89  |   (85)   ~ (all_6_2 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | SIMP: (85) implies:
% 244.88/48.89  |   (86)   ~ (all_6_2 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (63), (84) imply:
% 244.88/48.89  |   (87)   ~ (e24 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | SIMP: (87) implies:
% 244.88/48.89  |   (88)   ~ (e24 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (55), (84) imply:
% 244.88/48.89  |   (89)   ~ (e23 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | SIMP: (89) implies:
% 244.88/48.89  |   (90)   ~ (e23 = e22)
% 244.88/48.89  | 
% 244.88/48.89  | REDUCE: (21), (84) imply:
% 244.88/48.89  |   (91)   ~ (e22 = e20)
% 244.88/48.89  | 
% 244.88/48.89  | BETA: splitting (57) gives:
% 244.88/48.89  | 
% 244.88/48.89  | Case 1:
% 244.88/48.89  | | 
% 244.88/48.89  | |   (92)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 244.88/48.89  | |             e23) = e24)
% 244.88/48.89  | | 
% 244.88/48.89  | | BETA: splitting (92) gives:
% 244.88/48.89  | | 
% 244.88/48.89  | | Case 1:
% 244.88/48.89  | | | 
% 244.88/48.89  | | |   (93)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.88/48.89  | | | 
% 244.88/48.89  | | | ALPHA: (93) implies:
% 244.88/48.89  | | |   (94)  all_24_0 = e24
% 244.88/48.89  | | | 
% 244.88/48.90  | | | REF_CLOSE: (1), (3), (4), (6), (9), (10), (13), (14), (15), (17), (18),
% 244.88/48.90  | | |            (20), (21), (22), (23), (25), (26), (27), (30), (32), (33),
% 244.88/48.90  | | |            (34), (35), (36), (38), (40), (41), (42), (44), (45), (46),
% 244.88/48.90  | | |            (48), (49), (51), (52), (59), (60), (61), (62), (63), (64),
% 244.88/48.90  | | |            (67), (68), (70), (72), (73), (74), (76), (79), (81), (83),
% 244.88/48.90  | | |            (88), (90), (91), (94) are inconsistent by sub-proof #661.
% 244.88/48.90  | | | 
% 244.88/48.90  | | Case 2:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (95)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.88/48.90  | | | 
% 244.88/48.90  | | | REF_CLOSE: (56), (88), (95) are inconsistent by sub-proof #870.
% 244.88/48.90  | | | 
% 244.88/48.90  | | End of split
% 244.88/48.90  | | 
% 244.88/48.90  | Case 2:
% 244.88/48.90  | | 
% 244.88/48.90  | |   (96)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 244.88/48.90  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.90  | | 
% 244.88/48.90  | | BETA: splitting (96) gives:
% 244.88/48.90  | | 
% 244.88/48.90  | | Case 1:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (97)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.88/48.90  | | | 
% 244.88/48.90  | | | ALPHA: (97) implies:
% 244.88/48.90  | | |   (98)  op2(e24, e22) = e24
% 244.88/48.90  | | | 
% 244.88/48.90  | | | REF_CLOSE: (30), (39), (72), (98) are inconsistent by sub-proof #660.
% 244.88/48.90  | | | 
% 244.88/48.90  | | Case 2:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (99)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.88/48.90  | | |           op2(e24, e20) = e24)
% 244.88/48.90  | | | 
% 244.88/48.90  | | | BETA: splitting (99) gives:
% 244.88/48.90  | | | 
% 244.88/48.90  | | | Case 1:
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | |   (100)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | REF_CLOSE: (8), (30), (69), (100) are inconsistent by sub-proof #862.
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | Case 2:
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | |   (101)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | ALPHA: (101) implies:
% 244.88/48.90  | | | |   (102)  all_24_16 = e24
% 244.88/48.90  | | | |   (103)  op2(e24, e20) = e24
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | BETA: splitting (82) gives:
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | Case 1:
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | |   (104)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 244.88/48.90  | | | | |            op2(e23, e20) = e21)
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | | REF_CLOSE: (17), (20), (23), (25), (30), (34), (41), (49), (72), (73),
% 244.88/48.90  | | | | |            (79), (83), (88), (90), (102), (104) are inconsistent by
% 244.88/48.90  | | | | |            sub-proof #659.
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | Case 2:
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | |   (105)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 244.88/48.90  | | | | |            op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.88/48.90  | | | | |            e21)
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | | BETA: splitting (105) gives:
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | | Case 1:
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | |   (106)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | | REF_CLOSE: (24), (30), (45), (106) are inconsistent by sub-proof
% 244.88/48.90  | | | | | |            #740.
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | Case 2:
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | |   (107)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21
% 244.88/48.90  | | | | | |            & op2(e20, e20) = e21)
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | | BETA: splitting (107) gives:
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | | Case 1:
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | |   (108)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | | ALPHA: (108) implies:
% 244.88/48.90  | | | | | | |   (109)  all_24_19 = e21
% 244.88/48.90  | | | | | | |   (110)  op2(e21, e20) = e21
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | | BETA: splitting (47) gives:
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | |   (111)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 =
% 244.88/48.90  | | | | | | | |            e24 & op2(e21, e23) = e24)
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | | BETA: splitting (111) gives:
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | |   (112)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | REF_CLOSE: (51), (72), (112) are inconsistent by sub-proof
% 244.88/48.90  | | | | | | | | |            #645.
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | |   (113)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | ALPHA: (113) implies:
% 244.88/48.90  | | | | | | | | |   (114)  all_24_13 = e24
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | BETA: splitting (65) gives:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | |   (115)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.88/48.90  | | | | | | | | | |          (all_24_13 = e20 & op2(e21, e23) = e20)
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | BETA: splitting (115) gives:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | |   (116)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | REF_CLOSE: (15), (17), (20), (22), (23), (25), (30), (34),
% 244.88/48.90  | | | | | | | | | | |            (41), (45), (49), (51), (68), (70), (72), (73),
% 244.88/48.90  | | | | | | | | | | |            (79), (83), (88), (90), (116) are inconsistent by
% 244.88/48.90  | | | | | | | | | | |            sub-proof #868.
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | |   (117)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | REF_CLOSE: (15), (114), (117) are inconsistent by sub-proof
% 244.88/48.90  | | | | | | | | | | |            #867.
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | |   (118)  (all_24_14 = e20 & op2(e21, e22) = e20) |
% 244.88/48.90  | | | | | | | | | |          (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.88/48.90  | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | BETA: splitting (118) gives:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | |   (119)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | ALPHA: (119) implies:
% 244.88/48.90  | | | | | | | | | | |   (120)  all_24_14 = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | COMBINE_EQS: (7), (120) imply:
% 244.88/48.90  | | | | | | | | | | |   (121)  e22 = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | COMBINE_EQS: (25), (121) imply:
% 244.88/48.90  | | | | | | | | | | |   (122)  all_24_2 = e20
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | REF_CLOSE: (15), (17), (20), (22), (23), (30), (34), (41),
% 244.88/48.90  | | | | | | | | | | |            (45), (49), (67), (68), (72), (73), (79), (83),
% 244.88/48.90  | | | | | | | | | | |            (88), (90), (91), (122) are inconsistent by
% 244.88/48.90  | | | | | | | | | | |            sub-proof #1307.
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | |   (123)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.88/48.90  | | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | BETA: splitting (123) gives:
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | |   (124)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | ALPHA: (124) implies:
% 244.88/48.90  | | | | | | | | | | | |   (125)  all_24_15 = e20
% 244.88/48.90  | | | | | | | | | | | |   (126)  op2(e21, e21) = e20
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | BETA: splitting (43) gives:
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | |   (127)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | |          (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | BETA: splitting (127) gives:
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | |   (128)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | ALPHA: (128) implies:
% 244.88/48.90  | | | | | | | | | | | | | |   (129)  all_24_9 = e21
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | |   (130)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.88/48.90  | | | | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | |   (131)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (132)  op2(e24, e24) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_16_23, e21, e20, e21,
% 244.88/48.90  | | | | | | | | | | | | | | | |              simplifying with (78), (110) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (133)  all_16_23 = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_6_2, e20, e21, e21,
% 244.88/48.90  | | | | | | | | | | | | | | | |              simplifying with (66), (126) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (134)  all_6_2 = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_16_20, e24, e20, e24,
% 244.88/48.90  | | | | | | | | | | | | | | | |              simplifying with (54), (103) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (135)  all_16_20 = e24
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_12_2, e20, e24, e24,
% 244.88/48.90  | | | | | | | | | | | | | | | |              simplifying with (2), (132) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (136)  all_12_2 = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REDUCE: (71), (133) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (137)   ~ (e23 = e21)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REDUCE: (5), (133) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (138)   ~ (e22 = e21)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REDUCE: (29), (134) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (139)   ~ (e24 = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REDUCE: (80), (134) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (140)   ~ (e23 = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REDUCE: (86), (134) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | |   (141)   ~ (e22 = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (142)  (all_24_20 = e21 & op2(e20, e24) = e21) |
% 244.88/48.90  | | | | | | | | | | | | | | | | |          (all_24_21 = e21 & op2(e20, e23) = e21)
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (143)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (144)  all_24_20 = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (145)  op2(e20, e24) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (9), (10), (13), (15), (17), (18), (20),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (21), (23), (26), (27), (30), (35), (36), (38),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (41), (42), (45), (52), (59), (61), (62), (63),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (64), (72), (73), (74), (76), (90), (144), (145)
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #766.
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (146)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (147)  all_24_21 = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (20), (23), (25), (27), (30), (34), (35),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (36), (41), (49), (61), (62), (70), (72), (73),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (74), (79), (83), (88), (90), (147) are
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #765.
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (148)  (all_24_22 = e21 & op2(e20, e22) = e21) |
% 244.88/48.90  | | | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (149)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (26), (30), (42), (44), (45), (52),
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            (59), (64), (76), (149) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | | | |            sub-proof #732.
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | |   (150)  (all_24_23 = e21 & op2(e20, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |   (151)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (20), (23), (25), (30), (31), (34),
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |            (41), (45), (49), (67), (72), (73), (79), (81),
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |            (83), (88), (90), (91), (151) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |            sub-proof #583.
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |   (152)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (68), (152) are inconsistent by sub-proof
% 244.88/48.90  | | | | | | | | | | | | | | | | | | |            #736.
% 244.88/48.90  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | |   (153)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REF_CLOSE: (30), (36), (91), (153) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | |   (154)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 244.88/48.90  | | | | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 244.88/48.90  | | | | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | |   (155)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (30), (155) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | |            sub-proof #909.
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | |   (156)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 244.88/48.90  | | | | | | | | | | | | | | | |          (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (157)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (158)  all_24_9 = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (158) imply:
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (159)  e21 = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (15), (17), (20), (23), (25), (30),
% 244.88/48.90  | | | | | | | | | | | | | | | | |            (34), (41), (45), (49), (51), (67), (68), (70),
% 244.88/48.90  | | | | | | | | | | | | | | | | |            (72), (73), (79), (81), (83), (88), (90), (91),
% 244.88/48.90  | | | | | | | | | | | | | | | | |            (109), (114), (125), (159) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | | |            sub-proof #580.
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (160)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 244.88/48.90  | | | | | | | | | | | | | | | | |   (161)  op2(e24, e20) = e20
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (20), (30), (32), (34), (48), (49), (59),
% 244.88/48.90  | | | | | | | | | | | | | | | | |            (72), (73), (90), (161) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | | | |            sub-proof #885.
% 244.88/48.90  | | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | |   (162)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | REF_CLOSE: (20), (30), (41), (73), (162) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | |            sub-proof #789.
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | |   (163)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | BETA: splitting (163) gives:
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | |   (164)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (20), (23), (25), (30), (34), (41),
% 244.88/48.90  | | | | | | | | | | | | | |            (49), (70), (72), (73), (79), (83), (88), (90),
% 244.88/48.90  | | | | | | | | | | | | | |            (164) are inconsistent by sub-proof #624.
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | |   (165)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.90  | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | |   (166)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 244.88/48.90  | | | | | | | | | | | | | | |   (167)  all_24_15 = e21
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | COMBINE_EQS: (125), (167) imply:
% 244.88/48.90  | | | | | | | | | | | | | | |   (168)  e21 = e20
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (15), (17), (20), (23), (25), (30),
% 244.88/48.90  | | | | | | | | | | | | | | |            (34), (41), (45), (49), (51), (67), (68), (70),
% 244.88/48.90  | | | | | | | | | | | | | | |            (72), (73), (79), (81), (83), (88), (90), (91),
% 244.88/48.90  | | | | | | | | | | | | | | |            (109), (114), (125), (168) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | |            sub-proof #580.
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | |   (169)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 244.88/48.90  | | | | | | | | | | | | | | |   (170)  all_24_23 = e21
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (20), (23), (25), (30), (31), (34),
% 244.88/48.90  | | | | | | | | | | | | | | |            (41), (45), (49), (67), (72), (73), (79), (81),
% 244.88/48.90  | | | | | | | | | | | | | | |            (83), (88), (90), (91), (170) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | | | | |            sub-proof #731.
% 244.88/48.90  | | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | |   (171)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | | REF_CLOSE: (10), (14), (20), (26), (30), (34), (44), (49),
% 244.88/48.90  | | | | | | | | | | | |            (59), (72), (73), (75), (171) are inconsistent by
% 244.88/48.90  | | | | | | | | | | | |            sub-proof #779.
% 244.88/48.90  | | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | |   (172)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.88/48.90  | | | | | | | |            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 &
% 244.88/48.90  | | | | | | | |            op2(e21, e20) = e24)
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | | BETA: splitting (172) gives:
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | |   (173)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | REF_CLOSE: (7), (88), (173) are inconsistent by sub-proof
% 244.88/48.90  | | | | | | | | |            #726.
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | |   (174)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19
% 244.88/48.90  | | | | | | | | |            = e24 & op2(e21, e20) = e24)
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | BETA: splitting (174) gives:
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | Case 1:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | |   (175)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | REF_CLOSE: (29), (30), (66), (175) are inconsistent by
% 244.88/48.90  | | | | | | | | | |            sub-proof #738.
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | Case 2:
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | |   (176)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | ALPHA: (176) implies:
% 244.88/48.90  | | | | | | | | | |   (177)  all_24_19 = e24
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | | REF_CLOSE: (41), (109), (177) are inconsistent by sub-proof
% 244.88/48.90  | | | | | | | | | |            #737.
% 244.88/48.90  | | | | | | | | | | 
% 244.88/48.90  | | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | | 
% 244.88/48.90  | | | | | | | | End of split
% 244.88/48.90  | | | | | | | | 
% 244.88/48.90  | | | | | | | End of split
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | Case 2:
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | |   (178)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | | REF_CLOSE: (3), (68), (178) are inconsistent by sub-proof #736.
% 244.88/48.90  | | | | | | | 
% 244.88/48.90  | | | | | | End of split
% 244.88/48.90  | | | | | | 
% 244.88/48.90  | | | | | End of split
% 244.88/48.90  | | | | | 
% 244.88/48.90  | | | | End of split
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | End of split
% 244.88/48.90  | | | 
% 244.88/48.90  | | End of split
% 244.88/48.90  | | 
% 244.88/48.90  | End of split
% 244.88/48.90  | 
% 244.88/48.90  End of proof
% 244.88/48.90  
% 244.88/48.90  Sub-proof #580 shows that the following formulas are inconsistent:
% 244.88/48.90  ----------------------------------------------------------------
% 244.88/48.90    (1)  all_24_14 = e22
% 244.88/48.90    (2)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.88/48.90             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.88/48.90           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.90    (3)   ~ (e24 = e20)
% 244.88/48.90    (4)   ~ (e23 = e21)
% 244.88/48.90    (5)  op2(e23, e21) = e24
% 244.88/48.90    (6)  op2(e23, e23) = e21
% 244.88/48.90    (7)  all_24_2 = e22
% 244.88/48.90    (8)   ~ (e23 = e22)
% 244.88/48.90    (9)   ~ (e22 = e20)
% 244.88/48.90    (10)  all_24_15 = e20
% 244.88/48.90    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.90            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.90    (12)   ~ (e23 = e20)
% 244.88/48.90    (13)   ~ (e24 = e21)
% 244.88/48.90    (14)   ~ (e22 = e21)
% 244.88/48.90    (15)  op2(e23, e22) = e20
% 244.88/48.90    (16)  all_24_12 = e23
% 244.88/48.90    (17)  all_24_13 = e24
% 244.88/48.90    (18)  e21 = e20
% 244.88/48.90    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.90            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.90            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.90    (20)   ~ (e21 = e20)
% 244.88/48.90    (21)   ~ (e24 = e22)
% 244.88/48.90    (22)  all_24_17 = e23
% 244.88/48.90    (23)   ~ (e24 = e23)
% 244.88/48.90    (24)  op2(e23, e21) = all_10_1
% 244.88/48.90    (25)  all_24_19 = e21
% 244.88/48.90    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.90            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.90            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.90    (27)  all_24_5 = e20
% 244.88/48.90    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.90            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.90            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.90  
% 244.88/48.90  Begin of proof
% 244.88/48.90  | 
% 244.88/48.90  | SIMP: (18) implies:
% 244.88/48.90  |   (29)  e21 = e20
% 244.88/48.90  | 
% 244.88/48.90  | COMBINE_EQS: (25), (29) imply:
% 244.88/48.90  |   (30)  all_24_19 = e20
% 244.88/48.90  | 
% 244.88/48.90  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 244.88/48.90  |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 244.88/48.90  |            (26), (27), (28), (30) are inconsistent by sub-proof #581.
% 244.88/48.90  | 
% 244.88/48.90  End of proof
% 244.88/48.90  
% 244.88/48.90  Sub-proof #581 shows that the following formulas are inconsistent:
% 244.88/48.90  ----------------------------------------------------------------
% 244.88/48.90    (1)  all_24_19 = e20
% 244.88/48.90    (2)  all_24_14 = e22
% 244.88/48.90    (3)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.88/48.90             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.88/48.90           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.90    (4)   ~ (e24 = e20)
% 244.88/48.90    (5)   ~ (e23 = e21)
% 244.88/48.90    (6)  op2(e23, e21) = e24
% 244.88/48.90    (7)  op2(e23, e23) = e21
% 244.88/48.90    (8)  all_24_2 = e22
% 244.88/48.90    (9)   ~ (e23 = e22)
% 244.88/48.90    (10)   ~ (e22 = e20)
% 244.88/48.90    (11)  all_24_15 = e20
% 244.88/48.90    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.90            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.90    (13)   ~ (e23 = e20)
% 244.88/48.90    (14)   ~ (e24 = e21)
% 244.88/48.90    (15)   ~ (e22 = e21)
% 244.88/48.90    (16)  op2(e23, e22) = e20
% 244.88/48.90    (17)  all_24_12 = e23
% 244.88/48.90    (18)  all_24_13 = e24
% 244.88/48.90    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.90            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.90            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.90    (20)   ~ (e21 = e20)
% 244.88/48.90    (21)   ~ (e24 = e22)
% 244.88/48.90    (22)  all_24_17 = e23
% 244.88/48.90    (23)   ~ (e24 = e23)
% 244.88/48.90    (24)  op2(e23, e21) = all_10_1
% 244.88/48.90    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.90            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.90            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.90    (26)  all_24_5 = e20
% 244.88/48.90    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.90            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.90            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.90  
% 244.88/48.90  Begin of proof
% 244.88/48.90  | 
% 244.88/48.90  | BETA: splitting (3) gives:
% 244.88/48.90  | 
% 244.88/48.90  | Case 1:
% 244.88/48.90  | | 
% 244.88/48.90  | |   (28)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 244.88/48.90  | |           op2(e21, e23) = e21)
% 244.88/48.90  | | 
% 244.88/48.90  | | BETA: splitting (28) gives:
% 244.88/48.90  | | 
% 244.88/48.90  | | Case 1:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (29)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.88/48.90  | | | 
% 244.88/48.90  | | | REF_CLOSE: (5), (6), (7), (8), (9), (12), (13), (14), (16), (17), (21),
% 244.88/48.90  | | |            (22), (23), (24), (25), (27), (29) are inconsistent by
% 244.88/48.90  | | |            sub-proof #747.
% 244.88/48.90  | | | 
% 244.88/48.90  | | Case 2:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (30)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.88/48.90  | | | 
% 244.88/48.90  | | | REF_CLOSE: (14), (18), (30) are inconsistent by sub-proof #582.
% 244.88/48.90  | | | 
% 244.88/48.90  | | End of split
% 244.88/48.90  | | 
% 244.88/48.90  | Case 2:
% 244.88/48.90  | | 
% 244.88/48.90  | |   (31)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 244.88/48.90  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.90  | | 
% 244.88/48.90  | | BETA: splitting (31) gives:
% 244.88/48.90  | | 
% 244.88/48.90  | | Case 1:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (32)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.88/48.90  | | | 
% 244.88/48.90  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 244.88/48.90  | | |            (15), (16), (19), (21), (23), (24), (25), (26), (27), (32) are
% 244.88/48.90  | | |            inconsistent by sub-proof #749.
% 244.88/48.90  | | | 
% 244.88/48.90  | | Case 2:
% 244.88/48.90  | | | 
% 244.88/48.90  | | |   (33)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 244.88/48.90  | | |           op2(e21, e20) = e21)
% 244.88/48.90  | | | 
% 244.88/48.90  | | | BETA: splitting (33) gives:
% 244.88/48.90  | | | 
% 244.88/48.90  | | | Case 1:
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | |   (34)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | ALPHA: (34) implies:
% 244.88/48.90  | | | |   (35)  all_24_15 = e21
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | REF_CLOSE: (11), (20), (35) are inconsistent by sub-proof #787.
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | Case 2:
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | |   (36)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | | REF_CLOSE: (1), (20), (36) are inconsistent by sub-proof #593.
% 244.88/48.90  | | | | 
% 244.88/48.90  | | | End of split
% 244.88/48.90  | | | 
% 244.88/48.90  | | End of split
% 244.88/48.90  | | 
% 244.88/48.90  | End of split
% 244.88/48.90  | 
% 244.88/48.90  End of proof
% 244.88/48.90  
% 244.88/48.90  Sub-proof #582 shows that the following formulas are inconsistent:
% 244.88/48.90  ----------------------------------------------------------------
% 244.88/48.90    (1)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.88/48.90    (2)  all_24_13 = e24
% 244.88/48.90    (3)   ~ (e24 = e21)
% 244.88/48.90  
% 244.88/48.90  Begin of proof
% 244.88/48.90  | 
% 244.88/48.90  | ALPHA: (1) implies:
% 244.88/48.90  |   (4)  all_24_13 = e21
% 244.88/48.90  | 
% 244.88/48.90  | COMBINE_EQS: (2), (4) imply:
% 244.88/48.90  |   (5)  e24 = e21
% 244.88/48.90  | 
% 244.88/48.90  | REDUCE: (3), (5) imply:
% 244.88/48.90  |   (6)  $false
% 244.88/48.90  | 
% 244.88/48.90  | CLOSE: (6) is inconsistent.
% 244.88/48.90  | 
% 244.88/48.90  End of proof
% 244.88/48.90  
% 244.88/48.90  Sub-proof #583 shows that the following formulas are inconsistent:
% 244.88/48.90  ----------------------------------------------------------------
% 244.88/48.90    (1)   ~ (e24 = e20)
% 244.88/48.90    (2)   ~ (e23 = e21)
% 244.88/48.90    (3)  op2(e23, e21) = e24
% 244.88/48.90    (4)  op2(e23, e23) = e21
% 244.88/48.90    (5)  all_24_2 = e22
% 244.88/48.90    (6)   ~ (e23 = e22)
% 244.88/48.90    (7)   ~ (e22 = e20)
% 244.88/48.90    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.90           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.90    (9)  all_24_23 = e22
% 244.88/48.90    (10)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.88/48.90    (11)   ~ (e23 = e20)
% 244.88/48.90    (12)   ~ (e24 = e21)
% 244.88/48.90    (13)   ~ (e22 = e21)
% 244.88/48.90    (14)  op2(e23, e22) = e20
% 244.88/48.90    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.90            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.90            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.90    (16)   ~ (e24 = e22)
% 244.88/48.90    (17)   ~ (e24 = e23)
% 244.88/48.90    (18)  op2(e23, e21) = all_10_1
% 244.88/48.90    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.90            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.90            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.90    (20)  all_24_5 = e20
% 244.88/48.90    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.90            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.88/48.90            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.90  
% 244.88/48.90  Begin of proof
% 244.88/48.90  | 
% 244.88/48.90  | ALPHA: (10) implies:
% 244.88/48.90  |   (22)  all_24_23 = e21
% 244.88/48.90  | 
% 244.88/48.90  | COMBINE_EQS: (9), (22) imply:
% 244.88/48.90  |   (23)  e22 = e21
% 244.88/48.90  | 
% 244.88/48.90  | COMBINE_EQS: (5), (23) imply:
% 244.88/48.90  |   (24)  all_24_2 = e21
% 244.88/48.90  | 
% 244.88/48.90  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (11), (12), (13), (14), (15),
% 244.88/48.90  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 244.88/48.90  |            sub-proof #1298.
% 244.88/48.90  | 
% 244.88/48.90  End of proof
% 244.88/48.90  
% 244.88/48.90  Sub-proof #584 shows that the following formulas are inconsistent:
% 244.88/48.90  ----------------------------------------------------------------
% 244.88/48.90    (1)  op2(e24, e22) = all_16_10
% 244.88/48.90    (2)  op2(e24, e24) = all_12_2
% 244.88/48.90    (3)  op2(e23, e20) = e23
% 244.88/48.90    (4)  op2(e20, e23) = e23
% 244.88/48.90    (5)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 244.88/48.90           = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_11 = e22 &
% 244.88/48.90           op2(e22, e21) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.88/48.90    (6)  all_24_24 = e20
% 244.88/48.90    (7)   ~ (all_16_10 = e20)
% 244.88/48.90    (8)  op2(e22, all_4_2) = all_4_1
% 244.88/48.90    (9)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.88/48.90             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.88/48.90           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.90    (10)  all_20_12 = all_4_2
% 244.88/48.90    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 244.88/48.90            = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 244.88/48.90            op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.90    (12)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.88/48.90              e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.88/48.90            e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.88/48.90    (13)   ~ (all_16_20 = all_16_22)
% 244.88/48.90    (14)   ~ (all_16_15 = e24)
% 244.88/48.90    (15)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 & op2(e23,
% 244.88/48.90              e21) = e20) | (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 =
% 244.88/48.90            e20 & op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.88/48.90    (16)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.88/48.90              e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.88/48.90            e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.90    (17)  op2(e20, e24) = all_16_4
% 244.88/48.90    (18)   ~ (all_16_14 = e23)
% 244.88/48.90    (19)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.88/48.90              e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.88/48.90            e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.90    (20)   ~ (all_16_14 = all_4_2)
% 244.88/48.90    (21)   ~ (all_16_22 = all_4_2)
% 244.88/48.90    (22)   ~ (e24 = e20)
% 244.88/48.90    (23)   ~ (all_16_20 = e23)
% 244.88/48.90    (24)   ~ (e23 = e21)
% 244.88/48.90    (25)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 244.88/48.90              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.88/48.90            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.90    (26)  all_24_11 = e23
% 244.88/48.90    (27)  op2(e23, e21) = e24
% 244.88/48.90    (28)  op2(e22, e21) = e23
% 244.88/48.90    (29)   ~ (all_16_19 = e20)
% 244.88/48.90    (30)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.88/48.90            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.88/48.90            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.90    (31)  op2(e23, e23) = e21
% 244.88/48.90    (32)  op2(e22, e24) = all_16_2
% 244.88/48.90    (33)  all_24_2 = e22
% 244.88/48.90    (34)   ~ (e23 = e22)
% 244.88/48.90    (35)   ~ (all_16_7 = all_4_2)
% 244.88/48.90    (36)   ~ (e22 = e20)
% 244.88/48.90    (37)  op2(e21, e23) = all_16_8
% 244.88/48.90    (38)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 244.88/48.90            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 244.88/48.90            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 244.88/48.90    (39)   ~ (all_6_2 = e24)
% 244.88/48.90    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.88/48.90            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.88/48.90    (41)  op2(e23, e24) = e22
% 244.88/48.90    (42)  all_24_21 = e23
% 244.88/48.91    (43)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 244.88/48.91            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 244.88/48.91            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 244.88/48.91    (44)   ~ (e23 = e20)
% 244.88/48.91    (45)   ~ (all_16_7 = e23)
% 244.88/48.91    (46)  op2(e24, e23) = e22
% 244.88/48.91    (47)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.88/48.91              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.88/48.91            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.91    (48)  op2(e24, e22) = e23
% 244.88/48.91    (49)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 244.88/48.91            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 244.88/48.91            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.91    (50)   ~ (e24 = e21)
% 244.88/48.91    (51)  op2(e20, e22) = all_16_14
% 244.88/48.91    (52)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.88/48.91              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.91            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.88/48.91    (53)   ~ (all_16_20 = e20)
% 244.88/48.91    (54)   ~ (e22 = e21)
% 244.88/48.91    (55)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 244.88/48.91            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 244.88/48.91            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.88/48.91    (56)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.88/48.91              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.88/48.91            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.88/48.91    (57)  all_20_12 = e24 | all_20_12 = e22 | all_20_12 = e21 | all_20_12 = e20
% 244.88/48.91    (58)  op2(e23, e22) = e20
% 244.88/48.91    (59)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~ (all_22_10 = all_22_11) &
% 244.88/48.91            op2(all_22_11, e24) = all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.91              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_0) &
% 244.88/48.91            $i(all_22_10) & $i(all_22_11)) | (all_22_3 = e24 &  ~ (all_22_2 = e22)
% 244.88/48.91            &  ~ (all_22_20 = all_22_21) & op2(all_22_21, e24) = all_22_2 &
% 244.88/48.91            op2(all_22_21, e22) = e24 & op2(e24, e22) = all_22_21 & op2(e22, e24)
% 244.88/48.91            = all_22_20 & $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.91          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~ (all_22_32 = all_22_33) &
% 244.88/48.91            op2(all_22_33, e24) = all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.91              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_4) &
% 244.88/48.91            $i(all_22_32) & $i(all_22_33)) | (all_22_7 = e24 &  ~ (all_22_6 = e20)
% 244.88/48.91            &  ~ (all_22_46 = all_22_47) & op2(all_22_47, e24) = all_22_6 &
% 244.88/48.91            op2(all_22_47, e20) = e24 & op2(e24, e20) = all_22_47 & op2(e20, e24)
% 244.88/48.91            = all_22_46 & $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.91          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 244.88/48.91            op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.91              e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8) &
% 244.88/48.91            $i(all_22_10) & $i(all_22_11)) | (all_22_13 = e23 &  ~ (all_22_12 =
% 244.88/48.91              e22) &  ~ (all_22_24 = all_22_25) & op2(all_22_25, e23) = all_22_12
% 244.88/48.91            & op2(all_22_25, e22) = e23 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.88/48.91              e23) = all_22_24 & $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.91          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~ (all_22_36 = all_22_37) &
% 244.88/48.91            op2(all_22_37, e23) = all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.91              e21) = all_22_37 & op2(e21, e23) = all_22_36 & $i(all_22_14) &
% 244.88/48.91            $i(all_22_36) & $i(all_22_37)) | (all_22_17 = e23 &  ~ (all_22_16 =
% 244.88/48.91              e20) &  ~ (all_22_50 = all_22_51) & op2(all_22_51, e23) = all_22_16
% 244.88/48.91            & op2(all_22_51, e20) = e23 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.88/48.91              e23) = all_22_50 & $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.91          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~ (all_22_20 = all_22_21) &
% 244.88/48.91            op2(all_22_20, e24) = e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.91              e22) = all_22_21 & op2(e22, e24) = all_22_20 & $i(all_22_18) &
% 244.88/48.91            $i(all_22_20) & $i(all_22_21)) | (all_22_23 = e22 &  ~ (all_22_22 =
% 244.88/48.91              e23) &  ~ (all_22_24 = all_22_25) & op2(all_22_24, e23) = e22 &
% 244.88/48.91            op2(all_22_24, e22) = all_22_22 & op2(e23, e22) = all_22_25 & op2(e22,
% 244.88/48.91              e23) = all_22_24 & $i(all_22_22) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.91          (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~ (all_22_40 = all_22_41) &
% 244.88/48.91            op2(all_22_41, e22) = all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.91              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_26) &
% 244.88/48.91            $i(all_22_40) & $i(all_22_41)) | (all_22_29 = e22 &  ~ (all_22_28 =
% 244.88/48.91              e20) &  ~ (all_22_54 = all_22_55) & op2(all_22_55, e22) = all_22_28
% 244.88/48.91            & op2(all_22_55, e20) = e22 & op2(e22, e20) = all_22_55 & op2(e20,
% 244.88/48.91              e22) = all_22_54 & $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.91          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~ (all_22_32 = all_22_33) &
% 244.88/48.91            op2(all_22_32, e24) = e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.91              e21) = all_22_33 & op2(e21, e24) = all_22_32 & $i(all_22_30) &
% 244.88/48.91            $i(all_22_32) & $i(all_22_33)) | (all_22_35 = e21 &  ~ (all_22_34 =
% 244.88/48.91              e23) &  ~ (all_22_36 = all_22_37) & op2(all_22_36, e23) = e21 &
% 244.88/48.91            op2(all_22_36, e21) = all_22_34 & op2(e23, e21) = all_22_37 & op2(e21,
% 244.88/48.91              e23) = all_22_36 & $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.91          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~ (all_22_40 = all_22_41) &
% 244.88/48.91            op2(all_22_40, e22) = e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.91              e21) = all_22_41 & op2(e21, e22) = all_22_40 & $i(all_22_38) &
% 244.88/48.91            $i(all_22_40) & $i(all_22_41)) | (all_22_43 = e21 &  ~ (all_22_42 =
% 244.88/48.91              e20) &  ~ (all_22_58 = all_22_59) & op2(all_22_59, e21) = all_22_42
% 244.88/48.91            & op2(all_22_59, e20) = e21 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.88/48.91              e21) = all_22_58 & $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.88/48.91          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~ (all_22_46 = all_22_47) &
% 244.88/48.91            op2(all_22_46, e24) = e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.91              e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_44) &
% 244.88/48.91            $i(all_22_46) & $i(all_22_47)) | (all_22_49 = e20 &  ~ (all_22_48 =
% 244.88/48.91              e23) &  ~ (all_22_50 = all_22_51) & op2(all_22_50, e23) = e20 &
% 244.88/48.91            op2(all_22_50, e20) = all_22_48 & op2(e23, e20) = all_22_51 & op2(e20,
% 244.88/48.91              e23) = all_22_50 & $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.91          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~ (all_22_54 = all_22_55) &
% 244.88/48.91            op2(all_22_54, e22) = e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.91              e20) = all_22_55 & op2(e20, e22) = all_22_54 & $i(all_22_52) &
% 244.88/48.91            $i(all_22_54) & $i(all_22_55)) | (all_22_57 = e20 &  ~ (all_22_56 =
% 244.88/48.91              e21) &  ~ (all_22_58 = all_22_59) & op2(all_22_58, e21) = e20 &
% 244.88/48.91            op2(all_22_58, e20) = all_22_56 & op2(e21, e20) = all_22_59 & op2(e20,
% 244.88/48.91              e21) = all_22_58 & $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.91    (60)   ~ (all_16_15 = e23)
% 244.88/48.91    (61)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.88/48.91              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.88/48.91            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.91    (62)   ~ (all_16_20 = e22)
% 244.88/48.91    (63)   ~ (all_4_2 = e23)
% 244.88/48.91    (64)  all_24_12 = e23
% 244.88/48.91    (65)   ~ (all_12_2 = e22)
% 244.88/48.91    (66)   ~ (all_16_15 = e22)
% 244.88/48.91    (67)  op2(e24, e20) = all_16_20
% 244.88/48.91    (68)   ~ (all_16_20 = all_12_2)
% 244.88/48.91    (69)  all_24_1 = e22
% 244.88/48.91    (70)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.88/48.91            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.88/48.91            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.91    (71)  all_20_14 = e24 | all_20_14 = e22 | all_20_14 = e21 | all_20_14 = e20
% 244.88/48.91    (72)  all_20_14 = all_16_22
% 244.88/48.91    (73)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.88/48.91            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.88/48.91            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.88/48.91    (74)  all_24_4 = e23
% 244.88/48.91    (75)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.91            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.91            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.91    (76)   ~ (all_16_22 = e23)
% 244.88/48.91    (77)   ~ (all_16_8 = e23)
% 244.88/48.91    (78)  op2(e22, e23) = all_16_7
% 244.88/48.91    (79)   ~ (all_16_19 = e24)
% 244.88/48.91    (80)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 & op2(e21,
% 244.88/48.91              e23) = e20) | (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 =
% 244.88/48.91            e20 & op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.91    (81)  op2(e21, e21) = all_6_2
% 244.88/48.91    (82)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.88/48.91            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.88/48.91            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.91    (83)   ~ (all_16_4 = e22)
% 244.88/48.91    (84)   ~ (e21 = e20)
% 244.88/48.91    (85)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.88/48.91            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.88/48.91            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.88/48.91    (86)  op2(e24, e21) = all_16_15
% 244.88/48.91    (87)   ~ (e24 = e22)
% 244.88/48.91    (88)  all_24_17 = e23
% 244.88/48.91    (89)   ~ (e24 = e23)
% 244.88/48.91    (90)  op2(e23, e21) = all_10_1
% 244.88/48.91    (91)   ~ (all_12_2 = e23)
% 244.88/48.91    (92)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.88/48.91            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.88/48.91            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.88/48.91    (93)  op2(all_4_1, e22) = all_4_0
% 244.88/48.91    (94)  op2(e22, e22) = all_4_2
% 244.88/48.91    (95)  op2(e20, e21) = all_16_19
% 244.88/48.91    (96)   ~ (all_16_8 = e22)
% 244.88/48.91    (97)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.88/48.91            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.88/48.91            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.88/48.91    (98)   ~ (all_6_2 = e23)
% 244.88/48.91    (99)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 244.88/48.91            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 244.88/48.91            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.88/48.91    (100)  all_24_5 = e20
% 244.88/48.91    (101)   ~ (all_16_2 = all_16_22)
% 244.88/48.91    (102)   ~ (all_16_2 = all_4_2)
% 244.88/48.91    (103)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.88/48.91               e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19
% 244.88/48.91             = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) =
% 244.88/48.91             e21)
% 244.88/48.91    (104)  all_24_15 = e22 & op2(e21, e21) = e22
% 244.88/48.91    (105)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 244.88/48.91               e23) = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.88/48.91             e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.88/48.91    (106)  all_24_3 = e21
% 244.88/48.91    (107)  op2(e21, e24) = e23
% 244.88/48.91    (108)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 244.88/48.91               e23) = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 244.88/48.91             e23 & op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.88/48.91  
% 244.88/48.91  Begin of proof
% 244.88/48.91  | 
% 244.88/48.91  | ALPHA: (104) implies:
% 244.88/48.91  |   (109)  all_24_15 = e22
% 244.88/48.91  |   (110)  op2(e21, e21) = e22
% 244.88/48.91  | 
% 244.88/48.91  | BETA: splitting (15) gives:
% 244.88/48.91  | 
% 244.88/48.91  | Case 1:
% 244.88/48.91  | | 
% 244.88/48.91  | |   (111)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_10 = e20 &
% 244.88/48.91  | |            op2(e23, e21) = e20)
% 244.88/48.91  | | 
% 244.88/48.91  | | BETA: splitting (111) gives:
% 244.88/48.91  | | 
% 244.88/48.91  | | Case 1:
% 244.88/48.91  | | | 
% 244.88/48.91  | | |   (112)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.88/48.91  | | | 
% 244.88/48.91  | | | ALPHA: (112) implies:
% 244.88/48.91  | | |   (113)  all_24_9 = e20
% 244.88/48.91  | | |   (114)  op2(e24, e21) = e20
% 244.88/48.91  | | | 
% 244.88/48.91  | | | BETA: splitting (80) gives:
% 244.88/48.91  | | | 
% 244.88/48.91  | | | Case 1:
% 244.88/48.91  | | | | 
% 244.88/48.91  | | | |   (115)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13 = e20 &
% 244.88/48.91  | | | |            op2(e21, e23) = e20)
% 244.88/48.91  | | | | 
% 244.88/48.91  | | | | BETA: splitting (115) gives:
% 244.88/48.91  | | | | 
% 244.88/48.91  | | | | Case 1:
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | |   (116)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (40), (44), (50),
% 244.88/48.91  | | | | |            (54), (58), (64), (84), (87), (88), (89), (90), (97),
% 244.88/48.91  | | | | |            (108), (116) are inconsistent by sub-proof #868.
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | Case 2:
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | |   (117)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | | ALPHA: (117) implies:
% 244.88/48.91  | | | | |   (118)  all_24_13 = e20
% 244.88/48.91  | | | | |   (119)  op2(e21, e23) = e20
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | | BETA: splitting (75) gives:
% 244.88/48.91  | | | | | 
% 244.88/48.91  | | | | | Case 1:
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | |   (120)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 &
% 244.88/48.91  | | | | | |            op2(e23, e23) = e24)
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | | BETA: splitting (120) gives:
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | | Case 1:
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | |   (121)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | | REF_CLOSE: (69), (87), (121) are inconsistent by sub-proof #870.
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | Case 2:
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | |   (122)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | | REF_CLOSE: (50), (106), (122) are inconsistent by sub-proof #1323.
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | End of split
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | Case 2:
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | |   (123)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.88/48.91  | | | | | |            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) =
% 244.88/48.91  | | | | | |            e24)
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | | BETA: splitting (123) gives:
% 244.88/48.91  | | | | | | 
% 244.88/48.91  | | | | | | Case 1:
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | |   (124)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | | ALPHA: (124) implies:
% 244.88/48.91  | | | | | | |   (125)  all_24_7 = e24
% 244.88/48.91  | | | | | | |   (126)  op2(e22, e23) = e24
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | | BETA: splitting (52) gives:
% 244.88/48.91  | | | | | | | 
% 244.88/48.91  | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | |   (127)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 =
% 244.88/48.91  | | | | | | | |            e21 & op2(e23, e21) = e21)
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | | REF_CLOSE: (27), (40), (50), (84), (90), (113), (127) are
% 244.88/48.91  | | | | | | | |            inconsistent by sub-proof #656.
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | |   (128)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.88/48.91  | | | | | | | |            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 244.88/48.91  | | | | | | | |            op2(e20, e21) = e21)
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | | BETA: splitting (128) gives:
% 244.88/48.91  | | | | | | | | 
% 244.88/48.91  | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | |   (129)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | REF_CLOSE: (24), (26), (27), (31), (33), (34), (40), (44),
% 244.88/48.91  | | | | | | | | |            (50), (58), (87), (88), (89), (90), (97), (108),
% 244.88/48.91  | | | | | | | | |            (129) are inconsistent by sub-proof #655.
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | |   (130)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23
% 244.88/48.91  | | | | | | | | |            = e21 & op2(e20, e21) = e21)
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | BETA: splitting (130) gives:
% 244.88/48.91  | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | |   (131)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | ALPHA: (131) implies:
% 244.88/48.91  | | | | | | | | | |   (132)  all_24_15 = e21
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.91  | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.91  | | | | | | | | | |            (97), (100), (108), (109), (132) are inconsistent
% 244.88/48.91  | | | | | | | | | |            by sub-proof #654.
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | |   (133)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | ALPHA: (133) implies:
% 244.88/48.91  | | | | | | | | | |   (134)  all_24_23 = e21
% 244.88/48.91  | | | | | | | | | |   (135)  op2(e20, e21) = e21
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | BETA: splitting (61) gives:
% 244.88/48.91  | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | |   (136)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.88/48.91  | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | REF_CLOSE: (17), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.91  | | | | | | | | | | |            (36), (40), (41), (44), (45), (46), (50), (54),
% 244.88/48.91  | | | | | | | | | | |            (58), (69), (75), (78), (82), (83), (84), (87),
% 244.88/48.91  | | | | | | | | | | |            (88), (89), (90), (92), (97), (105), (106), (108),
% 244.88/48.91  | | | | | | | | | | |            (136) are inconsistent by sub-proof #775.
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | |   (137)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.88/48.91  | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.88/48.91  | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | BETA: splitting (137) gives:
% 244.88/48.91  | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | |   (138)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.88/48.91  | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | ALPHA: (138) implies:
% 244.88/48.91  | | | | | | | | | | | |   (139)  all_24_22 = e22
% 244.88/48.91  | | | | | | | | | | | |   (140)  op2(e20, e22) = e22
% 244.88/48.91  | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.88/48.91  | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | |   (141)  (all_24_20 = e24 & op2(e20, e24) = e24) |
% 244.88/48.91  | | | | | | | | | | | | |          (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.88/48.91  | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | BETA: splitting (141) gives:
% 244.88/48.91  | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | |   (142)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.88/48.91  | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | ALPHA: (142) implies:
% 244.88/48.91  | | | | | | | | | | | | | |   (143)  all_24_20 = e24
% 244.88/48.91  | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 244.88/48.91  | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | |   (144)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2
% 244.88/48.91  | | | | | | | | | | | | | | |            = e20 & op2(e23, e24) = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | |   (145)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | |   (146)  all_24_0 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | REF_CLOSE: (14), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (36), (37), (40), (42), (43), (44), (45), (46),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (48), (50), (54), (58), (69), (70), (74), (75),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (77), (78), (82), (84), (86), (87), (88), (89),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (90), (92), (97), (105), (106), (108), (113),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (125), (146) are inconsistent by sub-proof #649.
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | |   (147)  all_24_2 = e20 & op2(e23, e24) = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | |   (148)  all_24_2 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (34), (36), (40),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (84), (87), (89),
% 244.88/48.91  | | | | | | | | | | | | | | | |            (90), (97), (108), (148) are inconsistent by
% 244.88/48.91  | | | | | | | | | | | | | | | |            sub-proof #1307.
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | End of split
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | |   (149)  (all_24_6 = e20 & op2(e22, e24) = e20) |
% 244.88/48.91  | | | | | | | | | | | | | | |          (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.88/48.91  | | | | | | | | | | | | | | |          (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | |   (150)  all_24_6 = e20 & op2(e22, e24) = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | |   (151)  all_24_6 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | |   (152)  op2(e22, e24) = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | |   (153)  op2(e20, e24) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | |   (154)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2
% 244.88/48.91  | | | | | | | | | | | | | | | | | | |            = e21 & op2(e23, e24) = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | |   (155)  all_24_0 = e21 & op2(e24, e24) = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | |   (156)  all_24_0 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | |   (157)  op2(e24, e24) = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | |   (158)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (160)  all_24_0 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (160) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (161)  e24 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | SIMP: (161) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (162)  e24 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (162) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_24_7 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (50), (54),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (58), (69), (75), (77), (78), (84), (87), (88),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (92), (97), (105), (106), (108), (163)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #744.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (164)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (40), (42), (44), (46), (50), (54), (58), (69),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (75), (82), (84), (87), (88), (89), (90), (97),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            (105), (106), (108), (125), (164) are inconsistent
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #652.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | |   (165)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (166)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (167)  op2(e24, e22) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (48), (89), (167) are inconsistent by
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #660.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |   (168)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (40), (86), (169) are inconsistent by
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_24_16 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (172)  op2(e24, e20) = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_19, e21, e21, e20,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (95), (135) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_16_19 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_14, e22, e22, e20,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (51), (140) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_16_14 = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_4, e24, e24, e20,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (17), (153) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_16_4 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_6_2, e22, e21, e21,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (81), (110) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_6_2 = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_8, e20, e23, e21,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (37), (119) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_16_8 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_7, e24, e23, e22,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (78), (126) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_16_7 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_2, e20, e24, e22,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (32), (152) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_16_2 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_20, e24, e20, e24,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (67), (172) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_16_20 = e24
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_16_15, e20, e21, e24,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (86), (114) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_16_15 = e20
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_12_2, e21, e24, e24,
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2), (157) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_12_2 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (179) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_16_22 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (183) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_16_22 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (179) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_4_2 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_4_2 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (178) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (187)   ~ (all_4_2 = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (188)   ~ (all_4_2 = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (174) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_4_2 = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_4_2 = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (181) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (191)   ~ (e23 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (181) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (192)   ~ (e22 = e20)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (180) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_16_22 = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_16_22 = e24)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (182) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (e23 = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (182) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (196)   ~ (e22 = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (176) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (197)   ~ (e24 = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (176) imply:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (e23 = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |            = e22 & op2(e22, e23) = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |            (36), (38), (40), (42), (44), (46), (49), (50),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |            (54), (58), (64), (69), (75), (82), (84), (87),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (90), (97), (100), (105), (106),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |            (108), (199) are inconsistent by sub-proof #811.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_24_8 = e22 & op2(e22, e22) = e22) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_24_8 = e22 & op2(e22, e22) = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_24_8 = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (34), (40), (41), (44), (58),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (67), (89), (90), (108), (203) are
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #648.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_24_18 = e22
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (50), (54),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (69), (75), (77), (78), (84), (87), (88),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (92), (97), (105), (106), (108),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (125), (171), (207) are inconsistent by sub-proof
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #647.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (206), (209) are inconsistent
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #646.
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_24_19 = e21
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e21 & op2(e22, e23) = e21)
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_24_6 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (215) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  e21 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (216) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_24_19 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (16), (19), (22), (24), (27), (30),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (33), (34), (36), (37), (39), (40), (41),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (56), (58), (62), (64), (67),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (82), (84), (87), (88), (89), (90), (96),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (103), (108), (118), (171), (217) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #626.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_24_7 = e21 & op2(e22, e23) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_24_7 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (50), (54),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (69), (75), (77), (78), (84), (87), (88),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (92), (97), (105), (106), (108), (219)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #744.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_24_8 = e21 & op2(e22, e22) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_24_8 = e21 & op2(e22, e22) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (202), (221) are inconsistent
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #625.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e21 & op2(e22, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (26), (27), (31), (33), (34), (40), (44),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (50), (58), (87), (88), (89), (90), (97), (108),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223) are inconsistent by sub-proof #624.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (206), (224) are inconsistent
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #646.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (84), (225) are inconsistent by sub-proof
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_24_19 = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (64), (84), (87), (88), (89), (90), (97),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (118), (229) are inconsistent by sub-proof
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #630.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_24_14 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (48), (50),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (54), (58), (69), (73), (75), (77), (78), (82),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (87), (88), (89), (90), (92), (94), (97),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (105), (106), (108), (125), (139), (188),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232) are inconsistent by sub-proof #620.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_24_15 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (109), (235) are inconsistent
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (228), (236) are inconsistent
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #682.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (40), (44), (50), (54), (58), (82), (84),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (89), (90), (97), (108), (237) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #619.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_24_11 = e22 & op2(e22, e21) = e22) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_18 = e22 & op2(e22, e20) = e22)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_24_11 = e22 & op2(e22, e21) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (26), (27), (31), (34), (40), (41), (44),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (88), (89), (90), (108), (239) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #618.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  op2(e22, e20) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e23, e22) = e24)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (40), (48), (89), (100), (242) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #617.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (94), (188), (244) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op2(e21, e22) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (64), (84), (87), (88), (89), (90), (97),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (118), (248) are inconsistent by sub-proof
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #630.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_24_14 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (48), (50),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (54), (58), (69), (73), (75), (77), (78), (82),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (87), (88), (89), (90), (92), (94), (97),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (105), (106), (108), (125), (139), (188),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (251) are inconsistent by sub-proof #620.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (109), (253) are inconsistent
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #616.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  op2(e21, e20) = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_20_12 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (256) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_4_2 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (257) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_4_2 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (258) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  $false
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)   ~ (all_20_12 = e24)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_20_12 = e22 | all_20_12 = e21 | all_20_12 =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_20_12 = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (262) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_4_2 = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_4_2 = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (264) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_20_12 = e21 | all_20_12 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_20_12 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (267) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_4_2 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (268) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_4_2 = e21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (269) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)   ~ (all_16_22 = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (269) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (e24 = e21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (269) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  op2(e22, e21) = all_4_1
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_20_14 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (273) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_16_22 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_16_22 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (194), (275) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  $false
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_20_14 = e24)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_20_14 = e22 | all_20_14 = e21 | all_20_14 =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0) & $i(all_22_10) & $i(all_22_11)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_2) & $i(all_22_20) & $i(all_22_21))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_22_1 = e24 &  ~ (all_22_0 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_10 = all_22_11) & op2(all_22_11, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_0 & op2(all_22_11, e23) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_0) & $i(all_22_10) & $i(all_22_11)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)   ~ (all_22_10 = all_22_11)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  op2(e23, e24) = all_22_10
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  op2(e24, e23) = all_22_11
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (41), (46), (283), (284), (285) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_22_3 = e24 &  ~ (all_22_2 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_20 = all_22_21) & op2(all_22_21, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_2 & op2(all_22_21, e22) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_2) & $i(all_22_20) & $i(all_22_21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  op2(e24, e22) = all_22_21
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  op2(all_22_21, e22) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_4_1, e21, e22,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (28), (272) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_4_1 = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_22_21, e22, e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (48), (287) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_22_21 = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (288), (290) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  op2(e23, e22) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (289) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  op2(e23, e22) = all_4_0
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_4_0, e22, e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (58), (292) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_4_0 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e24, all_4_0, e22, e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (291), (292) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_4_0 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (293), (294) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  e24 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e24 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (296) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  $false
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_4) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_22_5 = e24 &  ~ (all_22_4 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_33, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_4 & op2(all_22_33, e21) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_4) & $i(all_22_32) & $i(all_22_33)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op2(e24, e21) = all_22_33
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  op2(all_22_33, e21) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_22_33, e21, e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (114), (300) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_22_33 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (302) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  op2(e20, e21) = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (79), (95), (303) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #769.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_47, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_6) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_10 = all_22_11) & op2(all_22_10, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e23 & op2(all_22_10, e23) = all_22_8 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e23) = all_22_11 & op2(e23, e24) = all_22_10 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (41), (46), (153), (172), (304) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #613.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_12) & $i(all_22_24) & $i(all_22_25)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_14) & $i(all_22_36) & $i(all_22_37))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_22_13 = e23 &  ~ (all_22_12 = e22) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_24 = all_22_25) & op2(all_22_25, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_12 & op2(all_22_25, e22) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_12) & $i(all_22_24) & $i(all_22_25)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  op2(e23, e22) = all_22_25
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  op2(all_22_25, e22) = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_22_25, e22, e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (58), (308) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_22_25 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (309), (310) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  op2(e20, e22) = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (40), (51), (311) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #718.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_22_15 = e23 &  ~ (all_22_14 = e21) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_36 = all_22_37) & op2(all_22_37, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_14 & op2(all_22_37, e21) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_14) & $i(all_22_36) & $i(all_22_37)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op2(e23, e21) = all_22_37
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  op2(all_22_37, e21) = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e24, all_22_37, e21, e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (27), (313) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_22_37 = e24
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (315) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op2(e24, e21) = e23
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (60), (86), (316) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #612.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (317) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_16) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_22_17 = e23 &  ~ (all_22_16 = e20) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_50 = all_22_51) & op2(all_22_51, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_16 & op2(all_22_51, e20) = e23 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_16) & $i(all_22_50) & $i(all_22_51)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)   ~ (all_22_50 = all_22_51)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op2(e20, e23) = all_22_50
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  op2(e23, e20) = all_22_51
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (40), (320), (321), (322) are
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  (all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_18) & $i(all_22_20) & $i(all_22_21)) |
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_22) & $i(all_22_24) & $i(all_22_25))
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_22_19 = e22 &  ~ (all_22_18 = e24) &  ~
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_20 = all_22_21) & op2(all_22_20, e24) =
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e22 & op2(all_22_20, e22) = all_22_18 & op2(e24,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_21 & op2(e22, e24) = all_22_20 &
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_18) & $i(all_22_20) & $i(all_22_21)
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  op2(e22, e24) = all_22_20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  op2(all_22_20, e24) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_22_20, e24, e22,
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (152), (325) gives:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_22_20 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (327) imply:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  op2(e20, e24) = e22
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (40), (83), (328) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #777.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (329) are inconsistent by
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_22_23 = e22 &  ~ (all_22_22 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_24 = all_22_25) & op2(all_22_24, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e22 & op2(all_22_24, e22) = all_22_22 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e22) = all_22_25 & op2(e22, e23) = all_22_24 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_22) & $i(all_22_24) & $i(all_22_25)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (330) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)   ~ (all_22_22 = e23)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  op2(e22, e23) = all_22_24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  op2(all_22_24, e22) = all_22_22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e24, all_22_24, e23, e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (126), (332) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_22_24 = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (333), (334) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  op2(e24, e22) = all_22_22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_22_22, e22, e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (48), (335) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_22_22 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (336) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_26) & $i(all_22_40) & $i(all_22_41)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_28) & $i(all_22_54) & $i(all_22_55))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_22_27 = e22 &  ~ (all_22_26 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_41, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_26 & op2(all_22_41, e21) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_26) & $i(all_22_40) & $i(all_22_41)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  op2(e22, e21) = all_22_41
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  op2(all_22_41, e21) = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_20_14 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (344) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (345) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_22_41, e21, e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (28), (342) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_22_41 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_4_1, all_22_41, e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (272), (342) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_22_41 = all_4_1
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (348) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_4_1 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (347) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  op2(e23, e21) = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (87), (90), (350) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #963.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (351) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_22_29 = e22 &  ~ (all_22_28 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_55, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_28 & op2(all_22_55, e20) = e22 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_28) & $i(all_22_54) & $i(all_22_55)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)   ~ (all_22_54 = all_22_55)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  op2(e20, e22) = all_22_54
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  op2(e22, e20) = all_22_55
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (140), (241), (353), (354), (355) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_30) & $i(all_22_32) & $i(all_22_33)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_22_31 = e21 &  ~ (all_22_30 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_32 = all_22_33) & op2(all_22_32, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_32, e21) = all_22_30 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_33 & op2(e21, e24) = all_22_32 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_30) & $i(all_22_32) & $i(all_22_33)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)   ~ (all_22_32 = all_22_33)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  op2(e21, e24) = all_22_32
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  op2(e24, e21) = all_22_33
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  op2(all_22_32, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_20_14 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (362) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (363) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_22_32, e24, e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (107), (359) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_22_32 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_22_33, e21, e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (114), (360) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_22_33 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (365) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  op2(e23, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e22, e21, e24, e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (41), (367) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e22 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (368) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_24_2 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (34), (36), (40), (44),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (50), (54), (58), (82), (87), (89), (90), (97),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (108), (369) are inconsistent by sub-proof
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1298.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (370) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  (all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_34) & $i(all_22_36) & $i(all_22_37)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_38) & $i(all_22_40) & $i(all_22_41))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_22_35 = e21 &  ~ (all_22_34 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_36 = all_22_37) & op2(all_22_36, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_36, e21) = all_22_34 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_37 & op2(e21, e23) = all_22_36 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_34) & $i(all_22_36) & $i(all_22_37)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  op2(e21, e23) = all_22_36
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  op2(e23, e21) = all_22_37
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  op2(all_22_36, e23) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_20_14 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (376) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (377) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e20, all_22_36, e23, e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (119), (373) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_22_36 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e24, all_22_37, e21, e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (27), (374) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_22_37 = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (379) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  op2(e20, e23) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, e21, e23, e20,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4), (381) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  e23 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (382) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_24_17 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (87), (89), (90), (97), (108), (383) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (384) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_22_39 = e21 &  ~ (all_22_38 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_40 = all_22_41) & op2(all_22_40, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e21 & op2(all_22_40, e21) = all_22_38 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e21) = all_22_41 & op2(e21, e22) = all_22_40 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_38) & $i(all_22_40) & $i(all_22_41)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (385) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)   ~ (all_22_40 = all_22_41)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  op2(e21, e22) = all_22_40
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  op2(e22, e21) = all_22_41
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  op2(all_22_40, e22) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_20_14 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (390) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (391) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_16_22 = e22
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e24, all_22_40, e22, e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (247), (387) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_22_40 = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, all_22_41, e21, e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (28), (388) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_22_41 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_4_1, all_22_41, e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e22, simplifying with (272), (388) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_22_41 = all_4_1
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (395) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_4_1 = e23
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (393) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  op2(e24, e22) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e23, e21, e22, e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (48), (397) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e23 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (398) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_24_17 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (87), (89), (90), (97), (108), (399) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_20_14 = e21 | all_20_14 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (184), (270), (400) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #611.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  (all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_42) & $i(all_22_58) & $i(all_22_59)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_44) & $i(all_22_46) & $i(all_22_47))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_22_43 = e21 &  ~ (all_22_42 = e20) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_59, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_22_42 & op2(all_22_59, e20) = e21 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_42) & $i(all_22_58) & $i(all_22_59)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (403) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)   ~ (all_22_58 = all_22_59)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  op2(e20, e21) = all_22_58
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  op2(e21, e20) = all_22_59
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (135), (255), (404), (405), (406) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #608.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_22_45 = e20 &  ~ (all_22_44 = e24) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_46 = all_22_47) & op2(all_22_46, e24) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_46, e20) = all_22_44 & op2(e24,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_47 & op2(e20, e24) = all_22_46 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_44) & $i(all_22_46) & $i(all_22_47)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)   ~ (all_22_46 = all_22_47)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  op2(e20, e24) = all_22_46
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  op2(e24, e20) = all_22_47
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (153), (172), (408), (409), (410) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #614.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  (all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_48) & $i(all_22_50) & $i(all_22_51)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_22_49 = e20 &  ~ (all_22_48 = e23) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_50 = all_22_51) & op2(all_22_50, e23) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_50, e20) = all_22_48 & op2(e23,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_51 & op2(e20, e23) = all_22_50 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_48) & $i(all_22_50) & $i(all_22_51)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)   ~ (all_22_50 = all_22_51)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  op2(e20, e23) = all_22_50
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  op2(e23, e20) = all_22_51
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (40), (413), (414), (415) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  (all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_52) & $i(all_22_54) & $i(all_22_55)) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_56) & $i(all_22_58) & $i(all_22_59))
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (416) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_22_53 = e20 &  ~ (all_22_52 = e22) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_54 = all_22_55) & op2(all_22_54, e22) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_54, e20) = all_22_52 & op2(e22,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_55 & op2(e20, e22) = all_22_54 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_52) & $i(all_22_54) & $i(all_22_55)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (417) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)   ~ (all_22_54 = all_22_55)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  op2(e20, e22) = all_22_54
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  op2(e22, e20) = all_22_55
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (140), (241), (418), (419), (420) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #609.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_22_57 = e20 &  ~ (all_22_56 = e21) &  ~
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_22_58 = all_22_59) & op2(all_22_58, e21) =
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e20 & op2(all_22_58, e20) = all_22_56 & op2(e21,
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e20) = all_22_59 & op2(e20, e21) = all_22_58 &
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_22_56) & $i(all_22_58) & $i(all_22_59)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)   ~ (all_22_58 = all_22_59)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  op2(e20, e21) = all_22_58
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  op2(e21, e20) = all_22_59
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (135), (255), (422), (423), (424) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #608.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_20_12 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (425) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_4_2 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (426) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_4_2 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (427) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  $false
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (428) is inconsistent.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (42), (44), (46), (50), (54), (58), (69),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (82), (84), (87), (88), (89), (90), (97),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (106), (108), (125), (139), (429) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #621.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |   (430)  all_24_2 = e21 & op2(e23, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |   (431)  all_24_2 = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (34), (36), (40), (44),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |            (50), (54), (58), (82), (87), (89), (90), (97),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |            (100), (108), (431) are inconsistent by sub-proof
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |            #1298.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | |   (432)  (all_24_6 = e21 & op2(e22, e24) = e21) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | |          (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |   (433)  all_24_6 = e21 & op2(e22, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (151), (433) are inconsistent by sub-proof
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |            #879.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |   (434)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | |          (all_24_20 = e21 & op2(e20, e24) = e21)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |   (435)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (58), (64), (87), (88), (89), (90), (97), (108),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (435) are inconsistent by sub-proof #873.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |   (436)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (37), (40), (42), (44), (45), (46), (50), (54),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (58), (69), (75), (77), (78), (84), (87), (88),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (89), (90), (92), (97), (105), (106), (108),
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            (125), (143), (436) are inconsistent by sub-proof
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | |            #607.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | |   (437)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (34), (37), (40), (45), (46), (77),
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            (78), (89), (92), (437) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            sub-proof #837.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | |   (438)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.88/48.93  | | | | | | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.88/48.93  | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | |   (439)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            (40), (42), (44), (46), (50), (54), (58), (69),
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            (75), (82), (84), (87), (88), (89), (90), (97),
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            (105), (106), (108), (125), (139), (439) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #606.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | |   (440)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.88/48.93  | | | | | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (40), (79), (95), (440) are
% 244.88/48.93  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 244.88/48.93  | | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | |   (441)  (all_24_12 = e20 & op2(e21, e24) = e20) |
% 244.88/48.93  | | | | | | | | | | | | | | | |          (all_24_20 = e20 & op2(e20, e24) = e20)
% 244.88/48.93  | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 244.88/48.93  | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | |   (442)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | ALPHA: (442) implies:
% 244.88/48.93  | | | | | | | | | | | | | | | | |   (443)  all_24_12 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (443) imply:
% 244.88/48.93  | | | | | | | | | | | | | | | | |   (444)  e23 = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (40),
% 244.88/48.93  | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (84), (87), (88), (89),
% 244.88/48.93  | | | | | | | | | | | | | | | | |            (90), (97), (108), (444) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | | | | |            sub-proof #833.
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | |   (445)  all_24_20 = e20 & op2(e20, e24) = e20
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (143), (445) are inconsistent by sub-proof
% 244.88/48.93  | | | | | | | | | | | | | | | | |            #605.
% 244.88/48.93  | | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | |   (446)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (34), (37), (40), (45), (46), (77),
% 244.88/48.93  | | | | | | | | | | | | | |            (78), (89), (92), (446) are inconsistent by
% 244.88/48.93  | | | | | | | | | | | | | |            sub-proof #837.
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | |   (447)  (all_24_22 = e24 & op2(e20, e22) = e24) |
% 244.88/48.93  | | | | | | | | | | | | |          (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.88/48.93  | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | BETA: splitting (447) gives:
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | |   (448)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.93  | | | | | | | | | | | | | |            (40), (42), (44), (46), (50), (54), (58), (69),
% 244.88/48.93  | | | | | | | | | | | | | |            (75), (82), (84), (87), (88), (89), (90), (97),
% 244.88/48.93  | | | | | | | | | | | | | |            (105), (106), (108), (125), (139), (448) are
% 244.88/48.93  | | | | | | | | | | | | | |            inconsistent by sub-proof #606.
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | |   (449)  (all_24_23 = e24 & op2(e20, e21) = e24) |
% 244.88/48.93  | | | | | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (40), (79), (95), (449) are
% 244.88/48.93  | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 244.88/48.93  | | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | |   (450)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.88/48.93  | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.93  | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | BETA: splitting (450) gives:
% 244.88/48.93  | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | Case 1:
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | |   (451)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.93  | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.88/48.93  | | | | | | | | | | | | |            (97), (100), (108), (134), (451) are inconsistent
% 244.88/48.93  | | | | | | | | | | | | |            by sub-proof #784.
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | Case 2:
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | |   (452)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | | REF_CLOSE: (6), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.93  | | | | | | | | | | | | |            (36), (40), (44), (50), (54), (58), (82), (84),
% 244.88/48.93  | | | | | | | | | | | | |            (87), (89), (90), (97), (108), (452) are
% 244.88/48.93  | | | | | | | | | | | | |            inconsistent by sub-proof #722.
% 244.88/48.93  | | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | | 
% 244.88/48.93  | | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | | 
% 244.88/48.93  | | | | | | | | End of split
% 244.88/48.93  | | | | | | | | 
% 244.88/48.93  | | | | | | | End of split
% 244.88/48.93  | | | | | | | 
% 244.88/48.94  | | | | | | Case 2:
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | |   (453)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 =
% 244.88/48.94  | | | | | | |            e24 & op2(e20, e23) = e24)
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | | REF_CLOSE: (22), (24), (31), (34), (37), (40), (45), (46), (77),
% 244.88/48.94  | | | | | | |            (78), (89), (92), (118), (453) are inconsistent by
% 244.88/48.94  | | | | | | |            sub-proof #604.
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | End of split
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | End of split
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | End of split
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | Case 2:
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | |   (454)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15 = e20 &
% 244.88/48.94  | | | |            op2(e21, e21) = e20) | (all_24_19 = e20 & op2(e21, e20) =
% 244.88/48.94  | | | |            e20)
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | BETA: splitting (454) gives:
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | Case 1:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | |   (455)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | ALPHA: (455) implies:
% 244.88/48.94  | | | | |   (456)  all_24_14 = e20
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | REF_CLOSE: (6), (17), (22), (24), (26), (27), (30), (31), (33), (34),
% 244.88/48.94  | | | | |            (36), (40), (41), (44), (45), (46), (48), (50), (52), (54),
% 244.88/48.94  | | | | |            (58), (61), (69), (73), (74), (75), (78), (82), (83), (84),
% 244.88/48.94  | | | | |            (85), (87), (88), (89), (90), (92), (97), (100), (105),
% 244.88/48.94  | | | | |            (106), (108), (109), (113), (456) are inconsistent by
% 244.88/48.94  | | | | |            sub-proof #599.
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | Case 2:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | |   (457)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 244.88/48.94  | | | | |            op2(e21, e20) = e20)
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | BETA: splitting (457) gives:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | Case 1:
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | |   (458)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36), (40),
% 244.88/48.94  | | | | | |            (44), (50), (54), (58), (82), (84), (87), (89), (90),
% 244.88/48.94  | | | | | |            (97), (108), (109), (458) are inconsistent by sub-proof
% 244.88/48.94  | | | | | |            #598.
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | Case 2:
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | |   (459)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | ALPHA: (459) implies:
% 244.88/48.94  | | | | | |   (460)  all_24_19 = e20
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | REF_CLOSE: (6), (9), (12), (16), (17), (19), (22), (24), (26), (27),
% 244.88/48.94  | | | | | |            (30), (31), (33), (34), (36), (37), (39), (40), (41),
% 244.88/48.94  | | | | | |            (42), (44), (45), (46), (48), (50), (52), (54), (56),
% 244.88/48.94  | | | | | |            (58), (61), (62), (64), (67), (69), (73), (74), (75),
% 244.88/48.94  | | | | | |            (77), (78), (81), (82), (83), (84), (85), (87), (88),
% 244.88/48.94  | | | | | |            (89), (90), (92), (96), (97), (100), (103), (105), (106),
% 244.88/48.94  | | | | | |            (108), (109), (113), (460) are inconsistent by sub-proof
% 244.88/48.94  | | | | | |            #592.
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | End of split
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | End of split
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | End of split
% 244.88/48.94  | | | 
% 244.88/48.94  | | Case 2:
% 244.88/48.94  | | | 
% 244.88/48.94  | | |   (461)  all_24_10 = e20 & op2(e23, e21) = e20
% 244.88/48.94  | | | 
% 244.88/48.94  | | | REF_CLOSE: (22), (27), (40), (90), (461) are inconsistent by sub-proof
% 244.88/48.94  | | |            #591.
% 244.88/48.94  | | | 
% 244.88/48.94  | | End of split
% 244.88/48.94  | | 
% 244.88/48.94  | Case 2:
% 244.88/48.94  | | 
% 244.88/48.94  | |   (462)  (all_24_11 = e20 & op2(e22, e21) = e20) | (all_24_15 = e20 &
% 244.88/48.94  | |            op2(e21, e21) = e20) | (all_24_23 = e20 & op2(e20, e21) = e20)
% 244.88/48.94  | | 
% 244.88/48.94  | | BETA: splitting (462) gives:
% 244.88/48.94  | | 
% 244.88/48.94  | | Case 1:
% 244.88/48.94  | | | 
% 244.88/48.94  | | |   (463)  all_24_11 = e20 & op2(e22, e21) = e20
% 244.88/48.94  | | | 
% 244.88/48.94  | | | ALPHA: (463) implies:
% 244.88/48.94  | | |   (464)  all_24_11 = e20
% 244.88/48.94  | | | 
% 244.88/48.94  | | | COMBINE_EQS: (26), (464) imply:
% 244.88/48.94  | | |   (465)  e23 = e20
% 244.88/48.94  | | | 
% 244.88/48.94  | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (40), (44), (50),
% 244.88/48.94  | | |            (54), (58), (84), (87), (88), (89), (90), (97), (108), (465)
% 244.88/48.94  | | |            are inconsistent by sub-proof #833.
% 244.88/48.94  | | | 
% 244.88/48.94  | | Case 2:
% 244.88/48.94  | | | 
% 244.88/48.94  | | |   (466)  (all_24_15 = e20 & op2(e21, e21) = e20) | (all_24_23 = e20 &
% 244.88/48.94  | | |            op2(e20, e21) = e20)
% 244.88/48.94  | | | 
% 244.88/48.94  | | | BETA: splitting (466) gives:
% 244.88/48.94  | | | 
% 244.88/48.94  | | | Case 1:
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | |   (467)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36), (40), (44),
% 244.88/48.94  | | | |            (50), (54), (58), (82), (84), (87), (89), (90), (97), (108),
% 244.88/48.94  | | | |            (109), (467) are inconsistent by sub-proof #598.
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | Case 2:
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | |   (468)  all_24_23 = e20 & op2(e20, e21) = e20
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | ALPHA: (468) implies:
% 244.88/48.94  | | | |   (469)  all_24_23 = e20
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | BETA: splitting (61) gives:
% 244.88/48.94  | | | | 
% 244.88/48.94  | | | | Case 1:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | |   (470)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 244.88/48.94  | | | | |            op2(e20, e23) = e22)
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | REF_CLOSE: (17), (22), (24), (27), (30), (31), (33), (34), (36), (40),
% 244.88/48.94  | | | | |            (41), (44), (45), (46), (50), (54), (58), (69), (75), (78),
% 244.88/48.94  | | | | |            (82), (83), (84), (87), (88), (89), (90), (92), (97),
% 244.88/48.94  | | | | |            (105), (106), (108), (470) are inconsistent by sub-proof
% 244.88/48.94  | | | | |            #775.
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | Case 2:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | |   (471)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 244.88/48.94  | | | | |            op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 244.88/48.94  | | | | |            e22)
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | BETA: splitting (471) gives:
% 244.88/48.94  | | | | | 
% 244.88/48.94  | | | | | Case 1:
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | |   (472)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | ALPHA: (472) implies:
% 244.88/48.94  | | | | | |   (473)  all_24_22 = e22
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | BETA: splitting (25) gives:
% 244.88/48.94  | | | | | | 
% 244.88/48.94  | | | | | | Case 1:
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | |   (474)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 =
% 244.88/48.94  | | | | | | |            e24 & op2(e20, e23) = e24)
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | | BETA: splitting (474) gives:
% 244.88/48.94  | | | | | | | 
% 244.88/48.94  | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | 
% 244.88/48.94  | | | | | | | |   (475)  all_24_20 = e24 & op2(e20, e24) = e24
% 244.88/48.94  | | | | | | | | 
% 244.88/48.94  | | | | | | | | ALPHA: (475) implies:
% 244.88/48.94  | | | | | | | |   (476)  all_24_20 = e24
% 244.88/48.94  | | | | | | | | 
% 244.88/48.94  | | | | | | | | BETA: splitting (80) gives:
% 244.88/48.94  | | | | | | | | 
% 244.88/48.94  | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | |   (477)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_13
% 244.88/48.94  | | | | | | | | |            = e20 & op2(e21, e23) = e20)
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | BETA: splitting (477) gives:
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | |   (478)  all_24_12 = e20 & op2(e21, e24) = e20
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (40),
% 244.88/48.94  | | | | | | | | | |            (44), (50), (54), (58), (64), (84), (87), (88),
% 244.88/48.94  | | | | | | | | | |            (89), (90), (97), (108), (478) are inconsistent by
% 244.88/48.94  | | | | | | | | | |            sub-proof #868.
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | |   (479)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | ALPHA: (479) implies:
% 244.88/48.94  | | | | | | | | | |   (480)  all_24_13 = e20
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | REF_CLOSE: (6), (22), (24), (27), (30), (31), (33), (34),
% 244.88/48.94  | | | | | | | | | |            (36), (37), (40), (42), (44), (45), (46), (47),
% 244.88/48.94  | | | | | | | | | |            (50), (54), (58), (69), (75), (77), (78), (82),
% 244.88/48.94  | | | | | | | | | |            (84), (87), (88), (89), (90), (92), (97), (100),
% 244.88/48.94  | | | | | | | | | |            (105), (106), (108), (469), (473), (476), (480)
% 244.88/48.94  | | | | | | | | | |            are inconsistent by sub-proof #589.
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | End of split
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | |   (481)  (all_24_14 = e20 & op2(e21, e22) = e20) | (all_24_15
% 244.88/48.94  | | | | | | | | |            = e20 & op2(e21, e21) = e20) | (all_24_19 = e20 &
% 244.88/48.94  | | | | | | | | |            op2(e21, e20) = e20)
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | BETA: splitting (481) gives:
% 244.88/48.94  | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | |   (482)  all_24_14 = e20 & op2(e21, e22) = e20
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | ALPHA: (482) implies:
% 244.88/48.94  | | | | | | | | | |   (483)  all_24_14 = e20
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.88/48.94  | | | | | | | | | |            (44), (48), (50), (54), (58), (73), (74), (82),
% 244.88/48.94  | | | | | | | | | |            (84), (85), (87), (88), (89), (90), (97), (100),
% 244.88/48.94  | | | | | | | | | |            (108), (473), (483) are inconsistent by sub-proof
% 244.88/48.94  | | | | | | | | | |            #600.
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | |   (484)  (all_24_15 = e20 & op2(e21, e21) = e20) |
% 244.88/48.94  | | | | | | | | | |          (all_24_19 = e20 & op2(e21, e20) = e20)
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | BETA: splitting (484) gives:
% 244.88/48.94  | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | |   (485)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36),
% 244.88/48.94  | | | | | | | | | | |            (40), (44), (50), (54), (58), (82), (84), (87),
% 244.88/48.94  | | | | | | | | | | |            (89), (90), (97), (108), (109), (485) are
% 244.88/48.94  | | | | | | | | | | |            inconsistent by sub-proof #598.
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | |   (486)  all_24_19 = e20 & op2(e21, e20) = e20
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | ALPHA: (486) implies:
% 244.88/48.94  | | | | | | | | | | |   (487)  all_24_19 = e20
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | BETA: splitting (9) gives:
% 244.88/48.94  | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | |   (488)  (all_24_16 = e22 & op2(e24, e20) = e22) |
% 244.88/48.94  | | | | | | | | | | | |          (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (34), (40), (41), (44), (58),
% 244.88/48.94  | | | | | | | | | | | |            (62), (67), (89), (90), (108), (488) are
% 244.88/48.94  | | | | | | | | | | | |            inconsistent by sub-proof #648.
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | |   (489)  (all_24_18 = e22 & op2(e22, e20) = e22) |
% 244.88/48.94  | | | | | | | | | | | |          (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.88/48.94  | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | BETA: splitting (489) gives:
% 244.88/48.94  | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | |   (490)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.88/48.94  | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | ALPHA: (490) implies:
% 244.88/48.94  | | | | | | | | | | | | |   (491)  all_24_18 = e22
% 244.88/48.94  | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | BETA: splitting (52) gives:
% 244.88/48.94  | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | |   (492)  (all_24_9 = e21 & op2(e24, e21) = e21) |
% 244.88/48.94  | | | | | | | | | | | | | |          (all_24_10 = e21 & op2(e23, e21) = e21)
% 244.88/48.94  | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 244.88/48.94  | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | |   (493)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.88/48.94  | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 244.88/48.94  | | | | | | | | | | | | | | |   (494)  all_24_9 = e21
% 244.88/48.94  | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | |   (495)  (all_24_16 = e21 & op2(e24, e20) = e21) |
% 244.88/48.94  | | | | | | | | | | | | | | | |          (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.88/48.94  | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | |   (496)  all_24_16 = e21 & op2(e24, e20) = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | ALPHA: (496) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | |   (497)  all_24_16 = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | |   (498)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1
% 244.88/48.94  | | | | | | | | | | | | | | | | | |            = e20 & op2(e24, e23) = e20)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | |   (499)  all_24_0 = e20 & op2(e24, e24) = e20
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | |   (500)  all_24_0 = e20
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | |   (501)  (all_24_12 = e21 & op2(e21, e24) = e21) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e21 & op2(e21, e23) = e21)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |   (502)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |            (58), (64), (87), (88), (89), (90), (97), (108),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |            (502) are inconsistent by sub-proof #873.
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |   (503)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |   (504)  all_24_13 = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |   (505)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (506) are inconsistent by sub-proof
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |            #824.
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_24_13 = e24
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (508) imply:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (509)  e24 = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (509) imply:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (510)  $false
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (510) is inconsistent.
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |   (511)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (22), (24), (27), (31), (33), (34), (36),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (44), (48), (50), (54), (58), (69),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |            (70), (73), (74), (81), (82), (84), (85), (86),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (90), (97), (100), (108), (473),
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |            (487), (497), (500), (511) are inconsistent by
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #588.
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | |   (512)  (all_24_14 = e21 & op2(e21, e22) = e21) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |   (513)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | |   (514)  all_24_14 = e21
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |   (515)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (516) are inconsistent by sub-proof
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |            #824.
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 244.88/48.94  | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_24_13 = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | |   (519)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e23) = e24)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (500), (520) are inconsistent by sub-proof
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |            #863.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (87), (521) are inconsistent by sub-proof
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | |   (522)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | |            = e24 & op2(e24, e21) = e24) | (all_24_16 = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e24)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  op2(e24, e22) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (48), (89), (524) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #660.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  (all_24_9 = e24 & op2(e24, e21) = e24) |
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_24_9 = e24 & op2(e24, e21) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (40), (86), (526) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_24_16 = e24
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12), (16), (19), (22), (24), (27),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (33), (34), (36), (37), (39), (40),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (44), (48), (50), (54), (56), (58), (62),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (67), (73), (74), (81), (82), (84), (85),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (90), (96), (97), (100), (103),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (473), (487), (491), (514), (518), (528)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #595.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |   (529)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (22), (24), (27), (31), (33), (34), (36),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (44), (48), (50), (54), (58), (69),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (70), (73), (74), (81), (82), (84), (85), (86),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (90), (97), (100), (108), (473),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (487), (497), (500), (529) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #588.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | |   (530)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |   (531)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (531) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |   (532)  all_24_15 = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (108), (109), (532) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |   (533)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12), (16), (17), (19), (22), (24),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (26), (27), (30), (31), (33), (34), (36), (37),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (44), (45), (46), (48),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (50), (52), (54), (56), (58), (61), (62), (64),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (67), (69), (73), (74), (75), (77), (78), (81),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (87), (88), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (92), (96), (97), (100), (103), (105), (106),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            (108), (109), (487), (494), (533) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #587.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |   (534)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (40), (46), (534) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (535)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            = e20 & op2(e24, e21) = e20) | (all_24_16 = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            & op2(e24, e20) = e20)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | BETA: splitting (535) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |   (536)  all_24_4 = e20 & op2(e24, e22) = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (40), (536) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |   (537)  (all_24_9 = e20 & op2(e24, e21) = e20) |
% 244.99/48.94  | | | | | | | | | | | | | | | | | | |          (all_24_16 = e20 & op2(e24, e20) = e20)
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |   (538)  all_24_9 = e20 & op2(e24, e21) = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |   (539)  all_24_9 = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12), (16), (17), (19), (22), (24),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (26), (27), (30), (31), (33), (34), (36), (37),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (44), (45), (46), (48),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (50), (52), (54), (56), (58), (61), (62), (64),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (67), (69), (73), (74), (75), (77), (78), (81),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (87), (88), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (92), (96), (97), (100), (103), (105), (106),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (108), (109), (487), (539) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            sub-proof #592.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |   (540)  all_24_16 = e20 & op2(e24, e20) = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |   (541)  all_24_16 = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (22), (24), (27), (30), (31), (33),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (34), (36), (40), (41), (44), (50), (54), (58),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (62), (67), (82), (84), (87), (89), (90), (97),
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            (100), (103), (108), (487), (541) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | |            by sub-proof #632.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | |   (542)  all_24_17 = e21 & op2(e23, e20) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | ALPHA: (542) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | |   (543)  all_24_17 = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (31), (33), (34), (40), (44), (50),
% 244.99/48.94  | | | | | | | | | | | | | | | | |            (58), (87), (89), (90), (97), (108), (543) are
% 244.99/48.94  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | |   (544)  (all_24_18 = e21 & op2(e22, e20) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | | | |          (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | BETA: splitting (544) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | |   (545)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.99/48.94  | | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | |            (97), (100), (108), (491), (545) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | | |            by sub-proof #637.
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | |   (546)  (all_24_19 = e21 & op2(e21, e20) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | | | | |          (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | BETA: splitting (546) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (547)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12), (16), (17), (19), (22), (24),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (26), (27), (30), (31), (33), (34), (36), (37),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (44), (45), (46), (48),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (50), (52), (54), (56), (58), (61), (62), (64),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (67), (69), (73), (74), (75), (77), (78), (81),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (87), (88), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (92), (96), (97), (100), (103), (105), (106),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (108), (109), (487), (494), (547) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            by sub-proof #587.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (548)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | ALPHA: (548) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (549)  all_24_24 = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (549) imply:
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (550)  e21 = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (550) imply:
% 244.99/48.94  | | | | | | | | | | | | | | | | | |   (551)  all_24_9 = e20
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12), (16), (17), (19), (22), (24),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (26), (27), (30), (31), (33), (34), (36), (37),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (39), (40), (41), (42), (44), (45), (46), (48),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (50), (52), (54), (56), (58), (61), (62), (64),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (67), (69), (73), (74), (75), (77), (78), (81),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (82), (83), (84), (85), (87), (88), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (92), (96), (97), (100), (103), (105), (106),
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            (108), (109), (487), (551) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | | | | |            sub-proof #592.
% 244.99/48.94  | | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | |   (552)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (50), (90), (552) are inconsistent by
% 244.99/48.94  | | | | | | | | | | | | | | |            sub-proof #789.
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | |   (553)  (all_24_11 = e21 & op2(e22, e21) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | |          (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.94  | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | BETA: splitting (553) gives:
% 244.99/48.94  | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | |   (554)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | REF_CLOSE: (24), (26), (27), (31), (33), (34), (40), (44),
% 244.99/48.94  | | | | | | | | | | | | | | |            (50), (58), (87), (88), (89), (90), (97), (108),
% 244.99/48.94  | | | | | | | | | | | | | | |            (554) are inconsistent by sub-proof #655.
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | |   (555)  (all_24_15 = e21 & op2(e21, e21) = e21) |
% 244.99/48.94  | | | | | | | | | | | | | | |          (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | Case 1:
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | |   (556)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | ALPHA: (556) implies:
% 244.99/48.94  | | | | | | | | | | | | | | | |   (557)  all_24_15 = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (27), (31), (33), (34), (36), (40),
% 244.99/48.94  | | | | | | | | | | | | | | | |            (44), (50), (54), (58), (82), (87), (89), (90),
% 244.99/48.94  | | | | | | | | | | | | | | | |            (97), (100), (108), (109), (557) are inconsistent
% 244.99/48.94  | | | | | | | | | | | | | | | |            by sub-proof #654.
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | |   (558)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | | REF_CLOSE: (84), (469), (558) are inconsistent by sub-proof
% 244.99/48.94  | | | | | | | | | | | | | | | |            #590.
% 244.99/48.94  | | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | |   (559)  (all_24_19 = e22 & op2(e21, e20) = e22) |
% 244.99/48.94  | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.94  | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | | REF_CLOSE: (6), (22), (24), (27), (30), (31), (33), (34),
% 244.99/48.94  | | | | | | | | | | | | |            (36), (40), (44), (50), (54), (58), (82), (84),
% 244.99/48.94  | | | | | | | | | | | | |            (87), (89), (90), (97), (108), (487), (559) are
% 244.99/48.94  | | | | | | | | | | | | |            inconsistent by sub-proof #594.
% 244.99/48.94  | | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | | 
% 244.99/48.94  | | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | | 
% 244.99/48.94  | | | | | | | | End of split
% 244.99/48.94  | | | | | | | | 
% 244.99/48.94  | | | | | | | Case 2:
% 244.99/48.94  | | | | | | | | 
% 244.99/48.94  | | | | | | | |   (560)  all_24_21 = e24 & op2(e20, e23) = e24
% 244.99/48.94  | | | | | | | | 
% 244.99/48.94  | | | | | | | | REF_CLOSE: (24), (31), (34), (37), (40), (45), (46), (77), (78),
% 244.99/48.94  | | | | | | | |            (89), (92), (560) are inconsistent by sub-proof #837.
% 244.99/48.94  | | | | | | | | 
% 244.99/48.94  | | | | | | | End of split
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | Case 2:
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | |   (561)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 244.99/48.94  | | | | | | |            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 244.99/48.94  | | | | | | |            op2(e20, e20) = e24)
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | | REF_CLOSE: (6), (22), (40), (79), (87), (95), (473), (561) are
% 244.99/48.94  | | | | | | |            inconsistent by sub-proof #586.
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | End of split
% 244.99/48.94  | | | | | | 
% 244.99/48.94  | | | | | Case 2:
% 244.99/48.94  | | | | | | 
% 244.99/48.94  | | | | | |   (562)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22
% 244.99/48.94  | | | | | |            & op2(e20, e20) = e22)
% 244.99/48.94  | | | | | | 
% 244.99/48.94  | | | | | | BETA: splitting (562) gives:
% 244.99/48.94  | | | | | | 
% 244.99/48.94  | | | | | | Case 1:
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | |   (563)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | | ALPHA: (563) implies:
% 244.99/48.94  | | | | | | |   (564)  all_24_23 = e22
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | | REF_CLOSE: (22), (24), (27), (30), (31), (33), (34), (36), (40),
% 244.99/48.94  | | | | | | |            (44), (50), (54), (58), (82), (84), (87), (89), (90),
% 244.99/48.94  | | | | | | |            (97), (108), (469), (564) are inconsistent by sub-proof
% 244.99/48.94  | | | | | | |            #585.
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | Case 2:
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | |   (565)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | | REF_CLOSE: (6), (22), (24), (27), (30), (31), (33), (34), (36),
% 244.99/48.94  | | | | | | |            (40), (44), (50), (54), (58), (82), (84), (87), (89),
% 244.99/48.94  | | | | | | |            (90), (97), (108), (565) are inconsistent by sub-proof
% 244.99/48.94  | | | | | | |            #619.
% 244.99/48.94  | | | | | | | 
% 244.99/48.94  | | | | | | End of split
% 244.99/48.94  | | | | | | 
% 244.99/48.94  | | | | | End of split
% 244.99/48.94  | | | | | 
% 244.99/48.94  | | | | End of split
% 244.99/48.94  | | | | 
% 244.99/48.94  | | | End of split
% 244.99/48.94  | | | 
% 244.99/48.94  | | End of split
% 244.99/48.94  | | 
% 244.99/48.94  | End of split
% 244.99/48.94  | 
% 244.99/48.94  End of proof
% 244.99/48.94  
% 244.99/48.94  Sub-proof #585 shows that the following formulas are inconsistent:
% 244.99/48.94  ----------------------------------------------------------------
% 244.99/48.94    (1)  all_24_23 = e20
% 244.99/48.94    (2)   ~ (e24 = e20)
% 244.99/48.94    (3)   ~ (e23 = e21)
% 244.99/48.94    (4)  op2(e23, e21) = e24
% 244.99/48.94    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.94           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.94           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.94    (6)  op2(e23, e23) = e21
% 244.99/48.94    (7)  all_24_2 = e22
% 244.99/48.94    (8)   ~ (e23 = e22)
% 244.99/48.94    (9)   ~ (e22 = e20)
% 244.99/48.94    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.94            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.94    (11)  all_24_23 = e22
% 244.99/48.94    (12)   ~ (e23 = e20)
% 244.99/48.94    (13)   ~ (e24 = e21)
% 244.99/48.94    (14)   ~ (e22 = e21)
% 244.99/48.94    (15)  op2(e23, e22) = e20
% 244.99/48.94    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.94            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.94            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.94    (17)   ~ (e21 = e20)
% 244.99/48.94    (18)   ~ (e24 = e22)
% 244.99/48.94    (19)   ~ (e24 = e23)
% 244.99/48.94    (20)  op2(e23, e21) = all_10_1
% 244.99/48.94    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.94            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.94            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.94    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.94            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.94            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.94  
% 244.99/48.94  Begin of proof
% 244.99/48.94  | 
% 244.99/48.94  | COMBINE_EQS: (1), (11) imply:
% 244.99/48.95  |   (23)  e22 = e20
% 244.99/48.95  | 
% 244.99/48.95  | SIMP: (23) implies:
% 244.99/48.95  |   (24)  e22 = e20
% 244.99/48.95  | 
% 244.99/48.95  | COMBINE_EQS: (7), (24) imply:
% 244.99/48.95  |   (25)  all_24_2 = e20
% 244.99/48.95  | 
% 244.99/48.95  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (14), (15),
% 244.99/48.95  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 244.99/48.95  |            sub-proof #1307.
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #586 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_24 = e20
% 244.99/48.95    (2)   ~ (e24 = e20)
% 244.99/48.95    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (4)   ~ (all_16_19 = e24)
% 244.99/48.95    (5)   ~ (e24 = e22)
% 244.99/48.95    (6)  op2(e20, e21) = all_16_19
% 244.99/48.95    (7)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 & op2(e20,
% 244.99/48.95             e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.99/48.95    (8)  all_24_22 = e22
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | BETA: splitting (7) gives:
% 244.99/48.95  | 
% 244.99/48.95  | Case 1:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (9)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.99/48.95  | | 
% 244.99/48.95  | | ALPHA: (9) implies:
% 244.99/48.95  | |   (10)  all_24_22 = e24
% 244.99/48.95  | | 
% 244.99/48.95  | | REF_CLOSE: (5), (8), (10) are inconsistent by sub-proof #840.
% 244.99/48.95  | | 
% 244.99/48.95  | Case 2:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (11)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 244.99/48.95  | |           op2(e20, e20) = e24)
% 244.99/48.95  | | 
% 244.99/48.95  | | REF_CLOSE: (1), (2), (3), (4), (6), (11) are inconsistent by sub-proof #767.
% 244.99/48.95  | | 
% 244.99/48.95  | End of split
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #587 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_24 = e20
% 244.99/48.95    (2)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.99/48.95             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.99/48.95           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.95    (3)  all_24_19 = e20
% 244.99/48.95    (4)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.99/48.95             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.99/48.95           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.99/48.95    (5)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.99/48.95             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.99/48.95           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.99/48.95    (6)  op2(e20, e24) = all_16_4
% 244.99/48.95    (7)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.99/48.95             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.99/48.95           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.99/48.95    (8)   ~ (e24 = e20)
% 244.99/48.95    (9)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.95    (10)   ~ (e23 = e21)
% 244.99/48.95    (11)  all_24_11 = e23
% 244.99/48.95    (12)  op2(e23, e21) = e24
% 244.99/48.95    (13)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.95            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.95            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.95    (14)  op2(e23, e23) = e21
% 244.99/48.95    (15)  all_24_2 = e22
% 244.99/48.95    (16)   ~ (e23 = e22)
% 244.99/48.95    (17)   ~ (e22 = e20)
% 244.99/48.95    (18)  op2(e21, e23) = all_16_8
% 244.99/48.95    (19)   ~ (all_6_2 = e24)
% 244.99/48.95    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (21)  op2(e23, e24) = e22
% 244.99/48.95    (22)  all_24_21 = e23
% 244.99/48.95    (23)   ~ (e23 = e20)
% 244.99/48.95    (24)   ~ (all_16_7 = e23)
% 244.99/48.95    (25)  op2(e24, e23) = e22
% 244.99/48.95    (26)  op2(e24, e22) = e23
% 244.99/48.95    (27)   ~ (e24 = e21)
% 244.99/48.95    (28)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.99/48.95              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.99/48.95            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.95    (29)   ~ (e22 = e21)
% 244.99/48.95    (30)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.99/48.95              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.99/48.95            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.95    (31)  op2(e23, e22) = e20
% 244.99/48.95    (32)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.99/48.95              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.99/48.95            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.95    (33)   ~ (all_16_20 = e22)
% 244.99/48.95    (34)  all_24_12 = e23
% 244.99/48.95    (35)  op2(e24, e20) = all_16_20
% 244.99/48.95    (36)  all_24_1 = e22
% 244.99/48.95    (37)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.99/48.95            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.99/48.95            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.95    (38)  all_24_4 = e23
% 244.99/48.95    (39)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.99/48.95            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.95    (40)   ~ (all_16_8 = e23)
% 244.99/48.95    (41)  op2(e22, e23) = all_16_7
% 244.99/48.95    (42)  op2(e21, e21) = all_6_2
% 244.99/48.95    (43)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.95            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.95            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.95    (44)   ~ (all_16_4 = e22)
% 244.99/48.95    (45)   ~ (e21 = e20)
% 244.99/48.95    (46)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.99/48.95            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.99/48.95            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.99/48.95    (47)   ~ (e24 = e22)
% 244.99/48.95    (48)  all_24_17 = e23
% 244.99/48.95    (49)   ~ (e24 = e23)
% 244.99/48.95    (50)  op2(e23, e21) = all_10_1
% 244.99/48.95    (51)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.99/48.95            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.99/48.95    (52)   ~ (all_16_8 = e22)
% 244.99/48.95    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.95            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.95    (54)  all_24_5 = e20
% 244.99/48.95    (55)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.99/48.95              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.99/48.95            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.95    (56)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.99/48.95            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.99/48.95            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.99/48.95    (57)  all_24_3 = e21
% 244.99/48.95    (58)  all_24_9 = e21
% 244.99/48.95    (59)  all_24_15 = e22
% 244.99/48.95    (60)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.95            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | ALPHA: (9) implies:
% 244.99/48.95  |   (61)  all_24_19 = e21
% 244.99/48.95  | 
% 244.99/48.95  | COMBINE_EQS: (3), (61) imply:
% 244.99/48.95  |   (62)  e21 = e20
% 244.99/48.95  | 
% 244.99/48.95  | COMBINE_EQS: (58), (62) imply:
% 244.99/48.95  |   (63)  all_24_9 = e20
% 244.99/48.95  | 
% 244.99/48.95  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 244.99/48.95  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 244.99/48.95  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 244.99/48.95  |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 244.99/48.95  |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 244.99/48.95  |            (59), (60), (63) are inconsistent by sub-proof #592.
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #588 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_19 = e20
% 244.99/48.95    (2)   ~ (all_16_15 = e24)
% 244.99/48.95    (3)   ~ (e24 = e20)
% 244.99/48.95    (4)   ~ (e23 = e21)
% 244.99/48.95    (5)  op2(e23, e21) = e24
% 244.99/48.95    (6)  op2(e23, e23) = e21
% 244.99/48.95    (7)  all_24_2 = e22
% 244.99/48.95    (8)   ~ (e23 = e22)
% 244.99/48.95    (9)  all_24_0 = e20
% 244.99/48.95    (10)   ~ (e22 = e20)
% 244.99/48.95    (11)   ~ (all_6_2 = e24)
% 244.99/48.95    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (13)   ~ (e23 = e20)
% 244.99/48.95    (14)  op2(e24, e22) = e23
% 244.99/48.95    (15)   ~ (e24 = e21)
% 244.99/48.95    (16)   ~ (e22 = e21)
% 244.99/48.95    (17)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 & op2(e21,
% 244.99/48.95              e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.95    (18)  op2(e23, e22) = e20
% 244.99/48.95    (19)  all_24_1 = e22
% 244.99/48.95    (20)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 244.99/48.95            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.99/48.95            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.99/48.95    (21)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.99/48.95            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.99/48.95            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.95    (22)  all_24_4 = e23
% 244.99/48.95    (23)  op2(e21, e21) = all_6_2
% 244.99/48.95    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.95            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.95            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.95    (25)   ~ (e21 = e20)
% 244.99/48.95    (26)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.99/48.95            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.99/48.95            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.99/48.95    (27)  op2(e24, e21) = all_16_15
% 244.99/48.95    (28)   ~ (e24 = e22)
% 244.99/48.95    (29)  all_24_17 = e23
% 244.99/48.95    (30)   ~ (e24 = e23)
% 244.99/48.95    (31)  op2(e23, e21) = all_10_1
% 244.99/48.95    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.95            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.95    (33)  all_24_5 = e20
% 244.99/48.95    (34)  all_24_16 = e21
% 244.99/48.95    (35)  all_24_22 = e22
% 244.99/48.95    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.95            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | BETA: splitting (17) gives:
% 244.99/48.95  | 
% 244.99/48.95  | Case 1:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (37)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.99/48.95  | | 
% 244.99/48.95  | | ALPHA: (37) implies:
% 244.99/48.95  | |   (38)  all_24_14 = e24
% 244.99/48.95  | | 
% 244.99/48.95  | | BETA: splitting (20) gives:
% 244.99/48.95  | | 
% 244.99/48.95  | | Case 1:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (39)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 &
% 244.99/48.95  | | |           op2(e24, e23) = e24)
% 244.99/48.95  | | | 
% 244.99/48.95  | | | BETA: splitting (39) gives:
% 244.99/48.95  | | | 
% 244.99/48.95  | | | Case 1:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (40)  all_24_0 = e24 & op2(e24, e24) = e24
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | ALPHA: (40) implies:
% 244.99/48.95  | | | |   (41)  all_24_0 = e24
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | COMBINE_EQS: (9), (41) imply:
% 244.99/48.95  | | | |   (42)  e24 = e20
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | SIMP: (42) implies:
% 244.99/48.95  | | | |   (43)  e24 = e20
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | COMBINE_EQS: (38), (43) imply:
% 244.99/48.95  | | | |   (44)  all_24_14 = e20
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (12), (13), (14), (15),
% 244.99/48.95  | | | |            (16), (18), (21), (22), (24), (25), (26), (28), (29), (30),
% 244.99/48.95  | | | |            (31), (32), (33), (35), (36), (44) are inconsistent by
% 244.99/48.95  | | | |            sub-proof #600.
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | Case 2:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (45)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | REF_CLOSE: (19), (28), (45) are inconsistent by sub-proof #870.
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | End of split
% 244.99/48.95  | | | 
% 244.99/48.95  | | Case 2:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (46)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 244.99/48.95  | | |           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 244.99/48.95  | | | 
% 244.99/48.95  | | | BETA: splitting (46) gives:
% 244.99/48.95  | | | 
% 244.99/48.95  | | | Case 1:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (47)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | ALPHA: (47) implies:
% 244.99/48.95  | | | |   (48)  op2(e24, e22) = e24
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | REF_CLOSE: (12), (14), (30), (48) are inconsistent by sub-proof #660.
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | Case 2:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (49)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 244.99/48.95  | | | |           op2(e24, e20) = e24)
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | REF_CLOSE: (2), (12), (15), (27), (34), (49) are inconsistent by
% 244.99/48.95  | | | |            sub-proof #860.
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | End of split
% 244.99/48.95  | | | 
% 244.99/48.95  | | End of split
% 244.99/48.95  | | 
% 244.99/48.95  | Case 2:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (50)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 &
% 244.99/48.95  | |           op2(e21, e20) = e24)
% 244.99/48.95  | | 
% 244.99/48.95  | | BETA: splitting (50) gives:
% 244.99/48.95  | | 
% 244.99/48.95  | | Case 1:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (51)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | REF_CLOSE: (11), (12), (23), (51) are inconsistent by sub-proof #738.
% 244.99/48.95  | | | 
% 244.99/48.95  | | Case 2:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (52)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | REF_CLOSE: (1), (3), (52) are inconsistent by sub-proof #638.
% 244.99/48.95  | | | 
% 244.99/48.95  | | End of split
% 244.99/48.95  | | 
% 244.99/48.95  | End of split
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #589 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_20 = e24
% 244.99/48.95    (2)  all_24_24 = e20
% 244.99/48.95    (3)  all_24_23 = e20
% 244.99/48.95    (4)   ~ (e24 = e20)
% 244.99/48.95    (5)   ~ (e23 = e21)
% 244.99/48.95    (6)  op2(e23, e21) = e24
% 244.99/48.95    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.95           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.95           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.95    (8)  op2(e23, e23) = e21
% 244.99/48.95    (9)  all_24_2 = e22
% 244.99/48.95    (10)   ~ (e23 = e22)
% 244.99/48.95    (11)   ~ (e22 = e20)
% 244.99/48.95    (12)  op2(e21, e23) = all_16_8
% 244.99/48.95    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (14)  all_24_13 = e20
% 244.99/48.95    (15)  all_24_21 = e23
% 244.99/48.95    (16)   ~ (e23 = e20)
% 244.99/48.95    (17)   ~ (all_16_7 = e23)
% 244.99/48.95    (18)  op2(e24, e23) = e22
% 244.99/48.95    (19)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 244.99/48.95              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 244.99/48.95            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.95    (20)   ~ (e24 = e21)
% 244.99/48.95    (21)   ~ (e22 = e21)
% 244.99/48.95    (22)  op2(e23, e22) = e20
% 244.99/48.95    (23)  all_24_1 = e22
% 244.99/48.95    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.99/48.95            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.95    (25)   ~ (all_16_8 = e23)
% 244.99/48.95    (26)  op2(e22, e23) = all_16_7
% 244.99/48.95    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.95            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.95            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.95    (28)   ~ (e21 = e20)
% 244.99/48.95    (29)   ~ (e24 = e22)
% 244.99/48.95    (30)  all_24_17 = e23
% 244.99/48.95    (31)   ~ (e24 = e23)
% 244.99/48.95    (32)  op2(e23, e21) = all_10_1
% 244.99/48.95    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.99/48.95            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.99/48.95    (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.95            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.95    (35)  all_24_5 = e20
% 244.99/48.95    (36)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.99/48.95            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.99/48.95            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.99/48.95    (37)  all_24_22 = e22
% 244.99/48.95    (38)  all_24_3 = e21
% 244.99/48.95    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.95            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | BETA: splitting (24) gives:
% 244.99/48.95  | 
% 244.99/48.95  | Case 1:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (40)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 244.99/48.95  | |             e23) = e24)
% 244.99/48.95  | | 
% 244.99/48.95  | | BETA: splitting (40) gives:
% 244.99/48.95  | | 
% 244.99/48.95  | | Case 1:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (41)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | REF_CLOSE: (23), (29), (41) are inconsistent by sub-proof #870.
% 244.99/48.95  | | | 
% 244.99/48.95  | | Case 2:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (42)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | REF_CLOSE: (20), (38), (42) are inconsistent by sub-proof #1323.
% 244.99/48.95  | | | 
% 244.99/48.95  | | End of split
% 244.99/48.95  | | 
% 244.99/48.95  | Case 2:
% 244.99/48.95  | | 
% 244.99/48.95  | |   (43)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 244.99/48.95  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.95  | | 
% 244.99/48.95  | | BETA: splitting (43) gives:
% 244.99/48.95  | | 
% 244.99/48.95  | | Case 1:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (44)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | ALPHA: (44) implies:
% 244.99/48.95  | | |   (45)  all_24_7 = e24
% 244.99/48.95  | | | 
% 244.99/48.95  | | | BETA: splitting (19) gives:
% 244.99/48.95  | | | 
% 244.99/48.95  | | | Case 1:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (46)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 244.99/48.95  | | | |           op2(e20, e23) = e21)
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | BETA: splitting (46) gives:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | Case 1:
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | |   (47)  all_24_20 = e21 & op2(e20, e24) = e21
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 244.99/48.95  | | | | |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 244.99/48.95  | | | | |            (26), (28), (29), (30), (31), (32), (33), (34), (36), (38),
% 244.99/48.95  | | | | |            (39), (45), (47) are inconsistent by sub-proof #607.
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | Case 2:
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | |   (48)  all_24_21 = e21 & op2(e20, e23) = e21
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | ALPHA: (48) implies:
% 244.99/48.95  | | | | |   (49)  all_24_21 = e21
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | REF_CLOSE: (5), (6), (8), (9), (10), (12), (13), (16), (17), (18),
% 244.99/48.95  | | | | |            (20), (22), (25), (26), (29), (30), (31), (32), (33), (34),
% 244.99/48.95  | | | | |            (39), (49) are inconsistent by sub-proof #765.
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | End of split
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | Case 2:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | |   (50)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 244.99/48.95  | | | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | BETA: splitting (50) gives:
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | | Case 1:
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | |   (51)  all_24_22 = e21 & op2(e20, e22) = e21
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (13), (16), (20),
% 244.99/48.95  | | | | |            (21), (22), (27), (29), (31), (32), (34), (35), (37), (39),
% 244.99/48.95  | | | | |            (51) are inconsistent by sub-proof #849.
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | Case 2:
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | |   (52)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 244.99/48.95  | | | | |           op2(e20, e20) = e21)
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | BETA: splitting (52) gives:
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | | Case 1:
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | |   (53)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | | REF_CLOSE: (3), (28), (53) are inconsistent by sub-proof #590.
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | Case 2:
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | |   (54)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | | REF_CLOSE: (2), (28), (54) are inconsistent by sub-proof #736.
% 244.99/48.95  | | | | | | 
% 244.99/48.95  | | | | | End of split
% 244.99/48.95  | | | | | 
% 244.99/48.95  | | | | End of split
% 244.99/48.95  | | | | 
% 244.99/48.95  | | | End of split
% 244.99/48.95  | | | 
% 244.99/48.95  | | Case 2:
% 244.99/48.95  | | | 
% 244.99/48.95  | | |   (55)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 244.99/48.95  | | |           op2(e20, e23) = e24)
% 244.99/48.95  | | | 
% 244.99/48.95  | | | REF_CLOSE: (4), (5), (8), (10), (12), (13), (14), (17), (18), (25), (26),
% 244.99/48.95  | | |            (31), (33), (55) are inconsistent by sub-proof #604.
% 244.99/48.95  | | | 
% 244.99/48.95  | | End of split
% 244.99/48.95  | | 
% 244.99/48.95  | End of split
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #590 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.99/48.95    (2)  all_24_23 = e20
% 244.99/48.95    (3)   ~ (e21 = e20)
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | ALPHA: (1) implies:
% 244.99/48.95  |   (4)  all_24_23 = e21
% 244.99/48.95  | 
% 244.99/48.95  | COMBINE_EQS: (2), (4) imply:
% 244.99/48.95  |   (5)  e21 = e20
% 244.99/48.95  | 
% 244.99/48.95  | REDUCE: (3), (5) imply:
% 244.99/48.95  |   (6)  $false
% 244.99/48.95  | 
% 244.99/48.95  | CLOSE: (6) is inconsistent.
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #591 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)   ~ (e24 = e20)
% 244.99/48.95    (2)  op2(e23, e21) = e24
% 244.99/48.95    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (4)  all_24_10 = e20 & op2(e23, e21) = e20
% 244.99/48.95    (5)  op2(e23, e21) = all_10_1
% 244.99/48.95  
% 244.99/48.95  Begin of proof
% 244.99/48.95  | 
% 244.99/48.95  | ALPHA: (4) implies:
% 244.99/48.95  |   (6)  op2(e23, e21) = e20
% 244.99/48.95  | 
% 244.99/48.95  | GROUND_INST: instantiating (3) with e24, all_10_1, e21, e23, simplifying with
% 244.99/48.95  |              (2), (5) gives:
% 244.99/48.95  |   (7)  all_10_1 = e24
% 244.99/48.95  | 
% 244.99/48.95  | GROUND_INST: instantiating (3) with e20, all_10_1, e21, e23, simplifying with
% 244.99/48.95  |              (5), (6) gives:
% 244.99/48.95  |   (8)  all_10_1 = e20
% 244.99/48.95  | 
% 244.99/48.95  | COMBINE_EQS: (7), (8) imply:
% 244.99/48.95  |   (9)  e24 = e20
% 244.99/48.95  | 
% 244.99/48.95  | REDUCE: (1), (9) imply:
% 244.99/48.95  |   (10)  $false
% 244.99/48.95  | 
% 244.99/48.95  | CLOSE: (10) is inconsistent.
% 244.99/48.95  | 
% 244.99/48.95  End of proof
% 244.99/48.95  
% 244.99/48.95  Sub-proof #592 shows that the following formulas are inconsistent:
% 244.99/48.95  ----------------------------------------------------------------
% 244.99/48.95    (1)  all_24_24 = e20
% 244.99/48.95    (2)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.99/48.95             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.99/48.95           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.95    (3)  all_24_19 = e20
% 244.99/48.95    (4)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.99/48.95             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.99/48.95           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.99/48.95    (5)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.99/48.95             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.99/48.95           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.99/48.95    (6)  op2(e20, e24) = all_16_4
% 244.99/48.95    (7)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.99/48.95             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.99/48.95           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.99/48.95    (8)   ~ (e24 = e20)
% 244.99/48.95    (9)   ~ (e23 = e21)
% 244.99/48.95    (10)  all_24_11 = e23
% 244.99/48.95    (11)  op2(e23, e21) = e24
% 244.99/48.95    (12)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.95            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.95            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.95    (13)  op2(e23, e23) = e21
% 244.99/48.95    (14)  all_24_2 = e22
% 244.99/48.95    (15)   ~ (e23 = e22)
% 244.99/48.95    (16)   ~ (e22 = e20)
% 244.99/48.95    (17)  op2(e21, e23) = all_16_8
% 244.99/48.95    (18)   ~ (all_6_2 = e24)
% 244.99/48.95    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.95            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.95    (20)  op2(e23, e24) = e22
% 244.99/48.95    (21)  all_24_21 = e23
% 244.99/48.95    (22)   ~ (e23 = e20)
% 244.99/48.95    (23)   ~ (all_16_7 = e23)
% 244.99/48.95    (24)  op2(e24, e23) = e22
% 244.99/48.95    (25)  op2(e24, e22) = e23
% 244.99/48.95    (26)   ~ (e24 = e21)
% 244.99/48.95    (27)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.99/48.95              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.99/48.95            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.95    (28)   ~ (e22 = e21)
% 244.99/48.95    (29)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.99/48.95              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.99/48.95            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.95    (30)  op2(e23, e22) = e20
% 244.99/48.95    (31)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.99/48.95              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.99/48.95            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.95    (32)   ~ (all_16_20 = e22)
% 244.99/48.95    (33)  all_24_12 = e23
% 244.99/48.95    (34)  op2(e24, e20) = all_16_20
% 244.99/48.95    (35)  all_24_1 = e22
% 244.99/48.95    (36)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.99/48.95            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.99/48.95            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.95    (37)  all_24_4 = e23
% 244.99/48.95    (38)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.99/48.95            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.95    (39)   ~ (all_16_8 = e23)
% 244.99/48.95    (40)  op2(e22, e23) = all_16_7
% 244.99/48.95    (41)  op2(e21, e21) = all_6_2
% 244.99/48.95    (42)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.95            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.95            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.95    (43)   ~ (all_16_4 = e22)
% 244.99/48.95    (44)   ~ (e21 = e20)
% 244.99/48.95    (45)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.99/48.95            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.99/48.95            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.99/48.95    (46)  all_24_9 = e20
% 244.99/48.95    (47)   ~ (e24 = e22)
% 244.99/48.95    (48)  all_24_17 = e23
% 244.99/48.95    (49)   ~ (e24 = e23)
% 244.99/48.95    (50)  op2(e23, e21) = all_10_1
% 244.99/48.95    (51)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.95            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.99/48.95            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.99/48.95    (52)   ~ (all_16_8 = e22)
% 244.99/48.95    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.95            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.95            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.95    (54)  all_24_5 = e20
% 244.99/48.95    (55)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.99/48.95              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.99/48.95            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.95    (56)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.99/48.95            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.99/48.95            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.99/48.95    (57)  all_24_3 = e21
% 244.99/48.95    (58)  all_24_15 = e22
% 244.99/48.96    (59)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.96            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.96            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.96  
% 244.99/48.96  Begin of proof
% 244.99/48.96  | 
% 244.99/48.96  | BETA: splitting (5) gives:
% 244.99/48.96  | 
% 244.99/48.96  | Case 1:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (60)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 244.99/48.96  | |           op2(e21, e23) = e21)
% 244.99/48.96  | | 
% 244.99/48.96  | | BETA: splitting (60) gives:
% 244.99/48.96  | | 
% 244.99/48.96  | | Case 1:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (61)  all_24_12 = e21 & op2(e21, e24) = e21
% 244.99/48.96  | | | 
% 244.99/48.96  | | | REF_CLOSE: (9), (11), (13), (14), (15), (19), (22), (26), (30), (33),
% 244.99/48.96  | | |            (47), (48), (49), (50), (53), (59), (61) are inconsistent by
% 244.99/48.96  | | |            sub-proof #747.
% 244.99/48.96  | | | 
% 244.99/48.96  | | Case 2:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (62)  all_24_13 = e21 & op2(e21, e23) = e21
% 244.99/48.96  | | | 
% 244.99/48.96  | | | ALPHA: (62) implies:
% 244.99/48.96  | | |   (63)  all_24_13 = e21
% 244.99/48.96  | | | 
% 244.99/48.96  | | | BETA: splitting (38) gives:
% 244.99/48.96  | | | 
% 244.99/48.96  | | | Case 1:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (64)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 &
% 244.99/48.96  | | | |           op2(e23, e23) = e24)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | BETA: splitting (64) gives:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | Case 1:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (65)  all_24_1 = e24 & op2(e24, e23) = e24
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | REF_CLOSE: (35), (47), (65) are inconsistent by sub-proof #870.
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | Case 2:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (66)  all_24_3 = e24 & op2(e23, e23) = e24
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | REF_CLOSE: (26), (57), (66) are inconsistent by sub-proof #1323.
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | End of split
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | Case 2:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (67)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.99/48.96  | | | |           op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | BETA: splitting (67) gives:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | Case 1:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (68)  all_24_7 = e24 & op2(e22, e23) = e24
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | ALPHA: (68) implies:
% 244.99/48.96  | | | | |   (69)  all_24_7 = e24
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | BETA: splitting (29) gives:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | Case 1:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (70)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 &
% 244.99/48.96  | | | | | |           op2(e21, e23) = e24)
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | REF_CLOSE: (8), (9), (11), (12), (13), (14), (15), (16), (19), (21),
% 244.99/48.96  | | | | | |            (22), (24), (26), (28), (30), (33), (44), (47), (48),
% 244.99/48.96  | | | | | |            (49), (50), (53), (56), (59), (69), (70) are inconsistent
% 244.99/48.96  | | | | | |            by sub-proof #739.
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | Case 2:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (71)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 &
% 244.99/48.96  | | | | | |           op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) =
% 244.99/48.96  | | | | | |           e24)
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | BETA: splitting (71) gives:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | Case 1:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (72)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | ALPHA: (72) implies:
% 244.99/48.96  | | | | | | |   (73)  all_24_14 = e24
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | BETA: splitting (56) gives:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (74)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20
% 244.99/48.96  | | | | | | | |           & op2(e23, e23) = e20)
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | BETA: splitting (74) gives:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (75)  all_24_1 = e20 & op2(e24, e23) = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | REF_CLOSE: (16), (19), (24), (75) are inconsistent by
% 244.99/48.96  | | | | | | | | |            sub-proof #911.
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (76)  all_24_3 = e20 & op2(e23, e23) = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | REF_CLOSE: (13), (19), (44), (76) are inconsistent by
% 244.99/48.96  | | | | | | | | |            sub-proof #1306.
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (77)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 244.99/48.96  | | | | | | | |           e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 244.99/48.96  | | | | | | | |           op2(e20, e23) = e20)
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | BETA: splitting (77) gives:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (78)  all_24_7 = e20 & op2(e22, e23) = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | ALPHA: (78) implies:
% 244.99/48.96  | | | | | | | | |   (79)  all_24_7 = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | COMBINE_EQS: (69), (79) imply:
% 244.99/48.96  | | | | | | | | |   (80)  e24 = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | SIMP: (80) implies:
% 244.99/48.96  | | | | | | | | |   (81)  e24 = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | COMBINE_EQS: (73), (81) imply:
% 244.99/48.96  | | | | | | | | |   (82)  all_24_14 = e20
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | REF_CLOSE: (1), (6), (8), (9), (10), (11), (12), (13), (14),
% 244.99/48.96  | | | | | | | | |            (15), (16), (19), (20), (22), (23), (24), (25),
% 244.99/48.96  | | | | | | | | |            (26), (27), (28), (30), (31), (35), (36), (37),
% 244.99/48.96  | | | | | | | | |            (38), (40), (42), (43), (44), (45), (46), (47),
% 244.99/48.96  | | | | | | | | |            (48), (49), (50), (51), (53), (54), (56), (57),
% 244.99/48.96  | | | | | | | | |            (58), (59), (82) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | |            #599.
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (83)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 =
% 244.99/48.96  | | | | | | | | |           e20 & op2(e20, e23) = e20)
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | BETA: splitting (83) gives:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (84)  all_24_13 = e20 & op2(e21, e23) = e20
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | ALPHA: (84) implies:
% 244.99/48.96  | | | | | | | | | |   (85)  all_24_13 = e20
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (11), (13), (14), (15), (16),
% 244.99/48.96  | | | | | | | | | |            (19), (22), (26), (28), (30), (33), (42), (44),
% 244.99/48.96  | | | | | | | | | |            (47), (48), (49), (50), (53), (54), (58), (59),
% 244.99/48.96  | | | | | | | | | |            (73), (85) are inconsistent by sub-proof #628.
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (86)  all_24_21 = e20 & op2(e20, e23) = e20
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | ALPHA: (86) implies:
% 244.99/48.96  | | | | | | | | | |   (87)  all_24_21 = e20
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | COMBINE_EQS: (21), (87) imply:
% 244.99/48.96  | | | | | | | | | |   (88)  e23 = e20
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | REF_CLOSE: (8), (9), (11), (12), (13), (14), (15), (19),
% 244.99/48.96  | | | | | | | | | |            (22), (26), (28), (30), (44), (47), (48), (49),
% 244.99/48.96  | | | | | | | | | |            (50), (53), (59), (88) are inconsistent by
% 244.99/48.96  | | | | | | | | | |            sub-proof #833.
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | End of split
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | Case 2:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (89)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24
% 244.99/48.96  | | | | | | |           & op2(e21, e20) = e24)
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | BETA: splitting (89) gives:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (90)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | REF_CLOSE: (18), (19), (41), (90) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | |            #738.
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (91)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | REF_CLOSE: (3), (8), (91) are inconsistent by sub-proof #597.
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | End of split
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | End of split
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | End of split
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | Case 2:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (92)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 244.99/48.96  | | | | |           op2(e20, e23) = e24)
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | REF_CLOSE: (9), (13), (15), (17), (19), (23), (24), (26), (39), (40),
% 244.99/48.96  | | | | |            (49), (51), (63), (92) are inconsistent by sub-proof #836.
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | End of split
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | End of split
% 244.99/48.96  | | | 
% 244.99/48.96  | | End of split
% 244.99/48.96  | | 
% 244.99/48.96  | Case 2:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (93)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 244.99/48.96  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.99/48.96  | | 
% 244.99/48.96  | | BETA: splitting (93) gives:
% 244.99/48.96  | | 
% 244.99/48.96  | | Case 1:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (94)  all_24_14 = e21 & op2(e21, e22) = e21
% 244.99/48.96  | | | 
% 244.99/48.96  | | | ALPHA: (94) implies:
% 244.99/48.96  | | |   (95)  all_24_14 = e21
% 244.99/48.96  | | | 
% 244.99/48.96  | | | BETA: splitting (2) gives:
% 244.99/48.96  | | | 
% 244.99/48.96  | | | Case 1:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (96)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 244.99/48.96  | | | |           op2(e23, e20) = e22)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (9), (11), (13), (15), (19), (20), (22), (30), (32), (34),
% 244.99/48.96  | | | |            (49), (50), (59), (96) are inconsistent by sub-proof #648.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | Case 2:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (97)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 244.99/48.96  | | | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | BETA: splitting (97) gives:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | Case 1:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (98)  all_24_18 = e22 & op2(e22, e20) = e22
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | ALPHA: (98) implies:
% 244.99/48.96  | | | | |   (99)  all_24_18 = e22
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | BETA: splitting (27) gives:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | Case 1:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (100)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 &
% 244.99/48.96  | | | | | |            op2(e23, e21) = e21)
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | BETA: splitting (100) gives:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | Case 1:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (101)  all_24_9 = e21 & op2(e24, e21) = e21
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | ALPHA: (101) implies:
% 244.99/48.96  | | | | | | |   (102)  all_24_9 = e21
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | COMBINE_EQS: (46), (102) imply:
% 244.99/48.96  | | | | | | |   (103)  e21 = e20
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | SIMP: (103) implies:
% 244.99/48.96  | | | | | | |   (104)  e21 = e20
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | COMBINE_EQS: (95), (104) imply:
% 244.99/48.96  | | | | | | |   (105)  all_24_14 = e20
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | REF_CLOSE: (1), (6), (8), (9), (10), (11), (12), (13), (14), (15),
% 244.99/48.96  | | | | | | |            (16), (19), (20), (22), (23), (24), (25), (26), (27),
% 244.99/48.96  | | | | | | |            (28), (30), (31), (35), (36), (37), (38), (40), (42),
% 244.99/48.96  | | | | | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 244.99/48.96  | | | | | | |            (53), (54), (56), (57), (58), (59), (105) are
% 244.99/48.96  | | | | | | |            inconsistent by sub-proof #599.
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | Case 2:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (106)  all_24_10 = e21 & op2(e23, e21) = e21
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | REF_CLOSE: (11), (19), (26), (50), (106) are inconsistent by
% 244.99/48.96  | | | | | | |            sub-proof #789.
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | End of split
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | Case 2:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (107)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 = e21
% 244.99/48.96  | | | | | |            & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21)
% 244.99/48.96  | | | | | |            = e21)
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | BETA: splitting (107) gives:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | Case 1:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (108)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | REF_CLOSE: (9), (10), (11), (13), (14), (15), (19), (22), (26),
% 244.99/48.96  | | | | | | |            (30), (47), (48), (49), (50), (53), (59), (108) are
% 244.99/48.96  | | | | | | |            inconsistent by sub-proof #624.
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | Case 2:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | |   (109)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 =
% 244.99/48.96  | | | | | | |            e21 & op2(e20, e21) = e21)
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | BETA: splitting (109) gives:
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (110)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | REF_CLOSE: (8), (9), (11), (13), (14), (15), (16), (19), (22),
% 244.99/48.96  | | | | | | | |            (26), (28), (30), (42), (47), (49), (50), (53), (54),
% 244.99/48.96  | | | | | | | |            (58), (59), (110) are inconsistent by sub-proof #616.
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | |   (111)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | ALPHA: (111) implies:
% 244.99/48.96  | | | | | | | |   (112)  all_24_23 = e21
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | BETA: splitting (7) gives:
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (113)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17
% 244.99/48.96  | | | | | | | | |            = e24 & op2(e23, e20) = e24)
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | BETA: splitting (113) gives:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (114)  all_24_16 = e24 & op2(e24, e20) = e24
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | ALPHA: (114) implies:
% 244.99/48.96  | | | | | | | | | |   (115)  all_24_16 = e24
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | BETA: splitting (29) gives:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | |   (116)  (all_24_12 = e24 & op2(e21, e24) = e24) |
% 244.99/48.96  | | | | | | | | | | |          (all_24_13 = e24 & op2(e21, e23) = e24)
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | BETA: splitting (116) gives:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | |   (117)  all_24_12 = e24 & op2(e21, e24) = e24
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | REF_CLOSE: (33), (49), (117) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | | | | |            #824.
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | |   (118)  all_24_13 = e24 & op2(e21, e23) = e24
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | ALPHA: (118) implies:
% 244.99/48.96  | | | | | | | | | | | |   (119)  all_24_13 = e24
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | BETA: splitting (31) gives:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | |   (120)  (all_24_20 = e22 & op2(e20, e24) = e22) |
% 244.99/48.96  | | | | | | | | | | | | |          (all_24_21 = e22 & op2(e20, e23) = e22)
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (11), (12), (13), (14), (15), (16),
% 244.99/48.96  | | | | | | | | | | | | |            (19), (20), (22), (23), (24), (26), (28), (30),
% 244.99/48.96  | | | | | | | | | | | | |            (35), (38), (40), (42), (43), (44), (47), (48),
% 244.99/48.96  | | | | | | | | | | | | |            (49), (50), (51), (53), (56), (57), (59), (120)
% 244.99/48.96  | | | | | | | | | | | | |            are inconsistent by sub-proof #775.
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | |   (121)  (all_24_22 = e22 & op2(e20, e22) = e22) |
% 244.99/48.96  | | | | | | | | | | | | |          (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.99/48.96  | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | BETA: splitting (121) gives:
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | |   (122)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | ALPHA: (122) implies:
% 244.99/48.96  | | | | | | | | | | | | | |   (123)  all_24_22 = e22
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11),
% 244.99/48.96  | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19),
% 244.99/48.96  | | | | | | | | | | | | | |            (20), (22), (25), (26), (28), (29), (30), (32),
% 244.99/48.96  | | | | | | | | | | | | | |            (33), (34), (36), (37), (41), (42), (44), (45),
% 244.99/48.96  | | | | | | | | | | | | | |            (47), (48), (49), (50), (52), (53), (54), (55),
% 244.99/48.96  | | | | | | | | | | | | | |            (59), (95), (99), (115), (119), (123) are
% 244.99/48.96  | | | | | | | | | | | | | |            inconsistent by sub-proof #595.
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | |   (124)  (all_24_23 = e22 & op2(e20, e21) = e22) |
% 244.99/48.96  | | | | | | | | | | | | | |          (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | |   (125)  all_24_23 = e22 & op2(e20, e21) = e22
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11), (13), (14), (15), (16), (19),
% 244.99/48.96  | | | | | | | | | | | | | | |            (22), (26), (28), (30), (42), (47), (49), (50),
% 244.99/48.96  | | | | | | | | | | | | | | |            (53), (54), (59), (112), (125) are inconsistent by
% 244.99/48.96  | | | | | | | | | | | | | | |            sub-proof #784.
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | |   (126)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | | REF_CLOSE: (1), (8), (9), (11), (12), (13), (14), (15), (16),
% 244.99/48.96  | | | | | | | | | | | | | | |            (19), (22), (26), (28), (30), (42), (44), (47),
% 244.99/48.96  | | | | | | | | | | | | | | |            (49), (50), (53), (59), (126) are inconsistent by
% 244.99/48.96  | | | | | | | | | | | | | | |            sub-proof #722.
% 244.99/48.96  | | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | |   (127)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 244.99/48.96  | | | | | | | | | | |          (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.99/48.96  | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | BETA: splitting (127) gives:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | |   (128)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | REF_CLOSE: (26), (95), (128) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | | | | |            #596.
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | |   (129)  (all_24_15 = e24 & op2(e21, e21) = e24) |
% 244.99/48.96  | | | | | | | | | | | |          (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | BETA: splitting (129) gives:
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | |   (130)  all_24_15 = e24 & op2(e21, e21) = e24
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | REF_CLOSE: (18), (19), (41), (130) are inconsistent by
% 244.99/48.96  | | | | | | | | | | | | |            sub-proof #738.
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | |   (131)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | ALPHA: (131) implies:
% 244.99/48.96  | | | | | | | | | | | | |   (132)  all_24_19 = e24
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | COMBINE_EQS: (3), (132) imply:
% 244.99/48.96  | | | | | | | | | | | | |   (133)  e24 = e20
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | COMBINE_EQS: (115), (133) imply:
% 244.99/48.96  | | | | | | | | | | | | |   (134)  all_24_16 = e20
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (8), (9), (11), (12), (13), (14),
% 244.99/48.96  | | | | | | | | | | | | |            (15), (16), (19), (20), (22), (26), (28), (30),
% 244.99/48.96  | | | | | | | | | | | | |            (32), (34), (42), (44), (47), (49), (50), (53),
% 244.99/48.96  | | | | | | | | | | | | |            (54), (55), (59), (134) are inconsistent by
% 244.99/48.96  | | | | | | | | | | | | |            sub-proof #632.
% 244.99/48.96  | | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (135)  all_24_17 = e24 & op2(e23, e20) = e24
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | ALPHA: (135) implies:
% 244.99/48.96  | | | | | | | | | |   (136)  all_24_17 = e24
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | REF_CLOSE: (9), (11), (13), (14), (15), (19), (22), (30),
% 244.99/48.96  | | | | | | | | | |            (49), (50), (59), (136) are inconsistent by
% 244.99/48.96  | | | | | | | | | |            sub-proof #733.
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | |   (137)  (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19
% 244.99/48.96  | | | | | | | | |            = e24 & op2(e21, e20) = e24) | (all_24_24 = e24 &
% 244.99/48.96  | | | | | | | | |            op2(e20, e20) = e24)
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | BETA: splitting (137) gives:
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (138)  all_24_18 = e24 & op2(e22, e20) = e24
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | REF_CLOSE: (47), (99), (138) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | | |            #802.
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | |   (139)  (all_24_19 = e24 & op2(e21, e20) = e24) |
% 244.99/48.96  | | | | | | | | | |          (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | BETA: splitting (139) gives:
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | Case 1:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | |   (140)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | REF_CLOSE: (3), (8), (140) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | | | |            #597.
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | Case 2:
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | |   (141)  all_24_24 = e24 & op2(e20, e20) = e24
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | | REF_CLOSE: (1), (8), (141) are inconsistent by sub-proof
% 244.99/48.96  | | | | | | | | | | |            #768.
% 244.99/48.96  | | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | | 
% 244.99/48.96  | | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | | 
% 244.99/48.96  | | | | | | | | End of split
% 244.99/48.96  | | | | | | | | 
% 244.99/48.96  | | | | | | | End of split
% 244.99/48.96  | | | | | | | 
% 244.99/48.96  | | | | | | End of split
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | End of split
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | Case 2:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (142)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 244.99/48.96  | | | | |            op2(e20, e20) = e22)
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | REF_CLOSE: (1), (3), (8), (9), (11), (12), (13), (14), (15), (16),
% 244.99/48.96  | | | | |            (19), (22), (26), (28), (30), (42), (44), (47), (49), (50),
% 244.99/48.96  | | | | |            (53), (59), (142) are inconsistent by sub-proof #594.
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | End of split
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | End of split
% 244.99/48.96  | | | 
% 244.99/48.96  | | Case 2:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (143)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 244.99/48.96  | | |            op2(e21, e20) = e21)
% 244.99/48.96  | | | 
% 244.99/48.96  | | | BETA: splitting (143) gives:
% 244.99/48.96  | | | 
% 244.99/48.96  | | | Case 1:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (144)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (8), (9), (11), (13), (14), (15), (16), (19), (22), (26),
% 244.99/48.96  | | | |            (28), (30), (42), (47), (49), (50), (53), (54), (58), (59),
% 244.99/48.96  | | | |            (144) are inconsistent by sub-proof #616.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | Case 2:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (145)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (3), (44), (145) are inconsistent by sub-proof #593.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | End of split
% 244.99/48.96  | | | 
% 244.99/48.96  | | End of split
% 244.99/48.96  | | 
% 244.99/48.96  | End of split
% 244.99/48.96  | 
% 244.99/48.96  End of proof
% 244.99/48.96  
% 244.99/48.96  Sub-proof #593 shows that the following formulas are inconsistent:
% 244.99/48.96  ----------------------------------------------------------------
% 244.99/48.96    (1)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.96    (2)  all_24_19 = e20
% 244.99/48.96    (3)   ~ (e21 = e20)
% 244.99/48.96  
% 244.99/48.96  Begin of proof
% 244.99/48.96  | 
% 244.99/48.96  | ALPHA: (1) implies:
% 244.99/48.96  |   (4)  all_24_19 = e21
% 244.99/48.96  | 
% 244.99/48.96  | COMBINE_EQS: (2), (4) imply:
% 244.99/48.96  |   (5)  e21 = e20
% 244.99/48.96  | 
% 244.99/48.96  | SIMP: (5) implies:
% 244.99/48.96  |   (6)  e21 = e20
% 244.99/48.96  | 
% 244.99/48.96  | REDUCE: (3), (6) imply:
% 244.99/48.96  |   (7)  $false
% 244.99/48.96  | 
% 244.99/48.96  | CLOSE: (7) is inconsistent.
% 244.99/48.96  | 
% 244.99/48.96  End of proof
% 244.99/48.96  
% 244.99/48.96  Sub-proof #594 shows that the following formulas are inconsistent:
% 244.99/48.96  ----------------------------------------------------------------
% 244.99/48.96    (1)  all_24_24 = e20
% 244.99/48.96    (2)  all_24_19 = e20
% 244.99/48.96    (3)   ~ (e24 = e20)
% 244.99/48.96    (4)   ~ (e23 = e21)
% 244.99/48.96    (5)  op2(e23, e21) = e24
% 244.99/48.96    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.96           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.96           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.96    (7)  op2(e23, e23) = e21
% 244.99/48.96    (8)  all_24_2 = e22
% 244.99/48.96    (9)   ~ (e23 = e22)
% 244.99/48.96    (10)   ~ (e22 = e20)
% 244.99/48.96    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.96            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.96    (12)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20,
% 244.99/48.96              e20) = e22)
% 244.99/48.96    (13)   ~ (e23 = e20)
% 244.99/48.96    (14)   ~ (e24 = e21)
% 244.99/48.96    (15)   ~ (e22 = e21)
% 244.99/48.96    (16)  op2(e23, e22) = e20
% 244.99/48.96    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.96            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.96            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.96    (18)   ~ (e21 = e20)
% 244.99/48.96    (19)   ~ (e24 = e22)
% 244.99/48.96    (20)   ~ (e24 = e23)
% 244.99/48.96    (21)  op2(e23, e21) = all_10_1
% 244.99/48.96    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.96            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.96            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.96    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.96            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.96            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.96  
% 244.99/48.96  Begin of proof
% 244.99/48.96  | 
% 244.99/48.96  | BETA: splitting (12) gives:
% 244.99/48.96  | 
% 244.99/48.96  | Case 1:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (24)  all_24_19 = e22 & op2(e21, e20) = e22
% 244.99/48.96  | | 
% 244.99/48.96  | | ALPHA: (24) implies:
% 244.99/48.96  | |   (25)  all_24_19 = e22
% 244.99/48.96  | | 
% 244.99/48.96  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 244.99/48.96  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25) are
% 244.99/48.96  | |            inconsistent by sub-proof #634.
% 244.99/48.96  | | 
% 244.99/48.96  | Case 2:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (26)  all_24_24 = e22 & op2(e20, e20) = e22
% 244.99/48.96  | | 
% 244.99/48.96  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 244.99/48.96  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (26) are
% 244.99/48.96  | |            inconsistent by sub-proof #722.
% 244.99/48.96  | | 
% 244.99/48.96  | End of split
% 244.99/48.96  | 
% 244.99/48.96  End of proof
% 244.99/48.96  
% 244.99/48.96  Sub-proof #595 shows that the following formulas are inconsistent:
% 244.99/48.96  ----------------------------------------------------------------
% 244.99/48.96    (1)  all_24_24 = e20
% 244.99/48.96    (2)  all_24_16 = e24
% 244.99/48.96    (3)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 244.99/48.96             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 244.99/48.96           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.96    (4)  all_24_19 = e20
% 244.99/48.96    (5)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 244.99/48.96             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 244.99/48.96           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 244.99/48.96    (6)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 244.99/48.96             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 244.99/48.96           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 244.99/48.96    (7)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 244.99/48.96             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 244.99/48.96           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 244.99/48.96    (8)   ~ (e24 = e20)
% 244.99/48.96    (9)   ~ (e23 = e21)
% 244.99/48.96    (10)  op2(e23, e21) = e24
% 244.99/48.96    (11)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.96            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.96            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.96    (12)  op2(e23, e23) = e21
% 244.99/48.96    (13)  all_24_14 = e21
% 244.99/48.96    (14)  all_24_2 = e22
% 244.99/48.96    (15)   ~ (e23 = e22)
% 244.99/48.96    (16)   ~ (e22 = e20)
% 244.99/48.96    (17)  op2(e21, e23) = all_16_8
% 244.99/48.96    (18)   ~ (all_6_2 = e24)
% 244.99/48.96    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.96            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.96    (20)  op2(e23, e24) = e22
% 244.99/48.96    (21)   ~ (e23 = e20)
% 244.99/48.96    (22)  op2(e24, e22) = e23
% 244.99/48.96    (23)   ~ (e24 = e21)
% 244.99/48.96    (24)   ~ (e22 = e21)
% 244.99/48.96    (25)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 244.99/48.96              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 244.99/48.96            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 244.99/48.96    (26)  op2(e23, e22) = e20
% 244.99/48.96    (27)   ~ (all_16_20 = e22)
% 244.99/48.96    (28)  all_24_12 = e23
% 244.99/48.96    (29)  all_24_13 = e24
% 244.99/48.96    (30)  op2(e24, e20) = all_16_20
% 244.99/48.96    (31)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.99/48.96            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.99/48.96            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.96    (32)  all_24_4 = e23
% 244.99/48.96    (33)  op2(e21, e21) = all_6_2
% 244.99/48.96    (34)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.96            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.96            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.96    (35)   ~ (e21 = e20)
% 244.99/48.96    (36)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.99/48.96            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.99/48.96            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.99/48.96    (37)   ~ (e24 = e22)
% 244.99/48.96    (38)  all_24_17 = e23
% 244.99/48.96    (39)   ~ (e24 = e23)
% 244.99/48.96    (40)  all_24_18 = e22
% 244.99/48.96    (41)  op2(e23, e21) = all_10_1
% 244.99/48.96    (42)   ~ (all_16_8 = e22)
% 244.99/48.96    (43)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.96            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.96            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.96    (44)  all_24_5 = e20
% 244.99/48.96    (45)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 244.99/48.96              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 244.99/48.96            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.96    (46)  all_24_22 = e22
% 244.99/48.96    (47)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.96            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.96            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.96  
% 244.99/48.96  Begin of proof
% 244.99/48.96  | 
% 244.99/48.96  | BETA: splitting (31) gives:
% 244.99/48.96  | 
% 244.99/48.96  | Case 1:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (48)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 244.99/48.96  | |             e22) = e24)
% 244.99/48.96  | | 
% 244.99/48.96  | | BETA: splitting (48) gives:
% 244.99/48.96  | | 
% 244.99/48.96  | | Case 1:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (49)  all_24_4 = e24 & op2(e24, e22) = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | ALPHA: (49) implies:
% 244.99/48.96  | | |   (50)  op2(e24, e22) = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | REF_CLOSE: (19), (22), (39), (50) are inconsistent by sub-proof #660.
% 244.99/48.96  | | | 
% 244.99/48.96  | | Case 2:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (51)  all_24_5 = e24 & op2(e23, e22) = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | ALPHA: (51) implies:
% 244.99/48.96  | | |   (52)  all_24_5 = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | COMBINE_EQS: (44), (52) imply:
% 244.99/48.96  | | |   (53)  e24 = e20
% 244.99/48.96  | | | 
% 244.99/48.96  | | | COMBINE_EQS: (29), (53) imply:
% 244.99/48.96  | | |   (54)  all_24_13 = e20
% 244.99/48.96  | | | 
% 244.99/48.96  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 244.99/48.96  | | |            (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 244.99/48.96  | | |            (26), (27), (28), (30), (33), (34), (35), (37), (38), (39),
% 244.99/48.96  | | |            (41), (42), (43), (44), (45), (47), (54) are inconsistent by
% 244.99/48.96  | | |            sub-proof #626.
% 244.99/48.96  | | | 
% 244.99/48.96  | | End of split
% 244.99/48.96  | | 
% 244.99/48.96  | Case 2:
% 244.99/48.96  | | 
% 244.99/48.96  | |   (55)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 244.99/48.96  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.96  | | 
% 244.99/48.96  | | BETA: splitting (55) gives:
% 244.99/48.96  | | 
% 244.99/48.96  | | Case 1:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (56)  all_24_8 = e24 & op2(e22, e22) = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | ALPHA: (56) implies:
% 244.99/48.96  | | |   (57)  all_24_8 = e24
% 244.99/48.96  | | | 
% 244.99/48.96  | | | BETA: splitting (45) gives:
% 244.99/48.96  | | | 
% 244.99/48.96  | | | Case 1:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (58)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 244.99/48.96  | | | |           op2(e23, e20) = e21)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (2), (9), (10), (12), (14), (15), (19), (21), (23), (26),
% 244.99/48.96  | | | |            (37), (39), (41), (43), (47), (58) are inconsistent by
% 244.99/48.96  | | | |            sub-proof #659.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | Case 2:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (59)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 244.99/48.96  | | | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | BETA: splitting (59) gives:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | Case 1:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (60)  all_24_18 = e21 & op2(e22, e20) = e21
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | REF_CLOSE: (8), (9), (10), (12), (14), (15), (16), (19), (21), (23),
% 244.99/48.96  | | | | |            (24), (26), (34), (37), (39), (40), (41), (43), (44), (47),
% 244.99/48.96  | | | | |            (60) are inconsistent by sub-proof #646.
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | Case 2:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | |   (61)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 244.99/48.96  | | | | |           op2(e20, e20) = e21)
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | BETA: splitting (61) gives:
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | | Case 1:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (62)  all_24_19 = e21 & op2(e21, e20) = e21
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | ALPHA: (62) implies:
% 244.99/48.96  | | | | | |   (63)  all_24_19 = e21
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | COMBINE_EQS: (4), (63) imply:
% 244.99/48.96  | | | | | |   (64)  e21 = e20
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | COMBINE_EQS: (13), (64) imply:
% 244.99/48.96  | | | | | |   (65)  all_24_14 = e20
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | REF_CLOSE: (8), (9), (10), (12), (14), (15), (16), (19), (21), (23),
% 244.99/48.96  | | | | | |            (24), (26), (32), (34), (35), (36), (37), (38), (39),
% 244.99/48.96  | | | | | |            (41), (43), (44), (46), (47), (57), (65) are inconsistent
% 244.99/48.96  | | | | | |            by sub-proof #602.
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | Case 2:
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | |   (66)  all_24_24 = e21 & op2(e20, e20) = e21
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | ALPHA: (66) implies:
% 244.99/48.96  | | | | | |   (67)  all_24_24 = e21
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | COMBINE_EQS: (1), (67) imply:
% 244.99/48.96  | | | | | |   (68)  e21 = e20
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | COMBINE_EQS: (13), (68) imply:
% 244.99/48.96  | | | | | |   (69)  all_24_14 = e20
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | | REF_CLOSE: (8), (9), (10), (12), (14), (15), (16), (19), (21), (23),
% 244.99/48.96  | | | | | |            (24), (26), (32), (34), (35), (36), (37), (38), (39),
% 244.99/48.96  | | | | | |            (41), (43), (44), (46), (47), (57), (69) are inconsistent
% 244.99/48.96  | | | | | |            by sub-proof #602.
% 244.99/48.96  | | | | | | 
% 244.99/48.96  | | | | | End of split
% 244.99/48.96  | | | | | 
% 244.99/48.96  | | | | End of split
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | End of split
% 244.99/48.96  | | | 
% 244.99/48.96  | | Case 2:
% 244.99/48.96  | | | 
% 244.99/48.96  | | |   (70)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 244.99/48.96  | | |           op2(e20, e22) = e24)
% 244.99/48.96  | | | 
% 244.99/48.96  | | | BETA: splitting (70) gives:
% 244.99/48.96  | | | 
% 244.99/48.96  | | | Case 1:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (71)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (13), (23), (71) are inconsistent by sub-proof #596.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | Case 2:
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | |   (72)  all_24_22 = e24 & op2(e20, e22) = e24
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | | REF_CLOSE: (37), (46), (72) are inconsistent by sub-proof #601.
% 244.99/48.96  | | | | 
% 244.99/48.96  | | | End of split
% 244.99/48.96  | | | 
% 244.99/48.96  | | End of split
% 244.99/48.96  | | 
% 244.99/48.96  | End of split
% 244.99/48.96  | 
% 244.99/48.96  End of proof
% 244.99/48.96  
% 244.99/48.96  Sub-proof #596 shows that the following formulas are inconsistent:
% 244.99/48.96  ----------------------------------------------------------------
% 244.99/48.97    (1)  all_24_14 = e24 & op2(e21, e22) = e24
% 244.99/48.97    (2)  all_24_14 = e21
% 244.99/48.97    (3)   ~ (e24 = e21)
% 244.99/48.97  
% 244.99/48.97  Begin of proof
% 244.99/48.97  | 
% 244.99/48.97  | ALPHA: (1) implies:
% 244.99/48.97  |   (4)  all_24_14 = e24
% 244.99/48.97  | 
% 244.99/48.97  | COMBINE_EQS: (2), (4) imply:
% 244.99/48.97  |   (5)  e24 = e21
% 244.99/48.97  | 
% 244.99/48.97  | REDUCE: (3), (5) imply:
% 244.99/48.97  |   (6)  $false
% 244.99/48.97  | 
% 244.99/48.97  | CLOSE: (6) is inconsistent.
% 244.99/48.97  | 
% 244.99/48.97  End of proof
% 244.99/48.97  
% 244.99/48.97  Sub-proof #597 shows that the following formulas are inconsistent:
% 244.99/48.97  ----------------------------------------------------------------
% 244.99/48.97    (1)  all_24_19 = e24 & op2(e21, e20) = e24
% 244.99/48.97    (2)  all_24_19 = e20
% 244.99/48.97    (3)   ~ (e24 = e20)
% 244.99/48.97  
% 244.99/48.97  Begin of proof
% 244.99/48.97  | 
% 244.99/48.97  | ALPHA: (1) implies:
% 244.99/48.97  |   (4)  all_24_19 = e24
% 244.99/48.97  | 
% 244.99/48.97  | COMBINE_EQS: (2), (4) imply:
% 244.99/48.97  |   (5)  e24 = e20
% 244.99/48.97  | 
% 244.99/48.97  | REDUCE: (3), (5) imply:
% 244.99/48.97  |   (6)  $false
% 244.99/48.97  | 
% 244.99/48.97  | CLOSE: (6) is inconsistent.
% 244.99/48.97  | 
% 244.99/48.97  End of proof
% 244.99/48.97  
% 244.99/48.97  Sub-proof #598 shows that the following formulas are inconsistent:
% 244.99/48.97  ----------------------------------------------------------------
% 244.99/48.97    (1)   ~ (e24 = e20)
% 244.99/48.97    (2)   ~ (e23 = e21)
% 244.99/48.97    (3)  op2(e23, e21) = e24
% 244.99/48.97    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.97           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.97           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.97    (5)  op2(e23, e23) = e21
% 244.99/48.97    (6)  all_24_2 = e22
% 244.99/48.97    (7)   ~ (e23 = e22)
% 244.99/48.97    (8)   ~ (e22 = e20)
% 244.99/48.97    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.97           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.97    (10)   ~ (e23 = e20)
% 244.99/48.97    (11)   ~ (e24 = e21)
% 244.99/48.97    (12)   ~ (e22 = e21)
% 244.99/48.97    (13)  op2(e23, e22) = e20
% 244.99/48.97    (14)  all_24_15 = e20 & op2(e21, e21) = e20
% 244.99/48.97    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.97    (16)   ~ (e21 = e20)
% 244.99/48.97    (17)   ~ (e24 = e22)
% 244.99/48.97    (18)   ~ (e24 = e23)
% 244.99/48.97    (19)  op2(e23, e21) = all_10_1
% 244.99/48.97    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.97    (21)  all_24_15 = e22
% 244.99/48.97    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.97            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.97            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.97  
% 244.99/48.97  Begin of proof
% 244.99/48.97  | 
% 244.99/48.97  | ALPHA: (14) implies:
% 244.99/48.97  |   (23)  all_24_15 = e20
% 244.99/48.97  | 
% 244.99/48.97  | COMBINE_EQS: (21), (23) imply:
% 244.99/48.97  |   (24)  e22 = e20
% 244.99/48.97  | 
% 244.99/48.97  | COMBINE_EQS: (6), (24) imply:
% 244.99/48.97  |   (25)  all_24_2 = e20
% 244.99/48.97  | 
% 244.99/48.97  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 244.99/48.97  |            (15), (16), (17), (18), (19), (20), (22), (25) are inconsistent by
% 244.99/48.97  |            sub-proof #1307.
% 244.99/48.97  | 
% 244.99/48.97  End of proof
% 244.99/48.97  
% 244.99/48.97  Sub-proof #599 shows that the following formulas are inconsistent:
% 244.99/48.97  ----------------------------------------------------------------
% 244.99/48.97    (1)  all_24_24 = e20
% 244.99/48.97    (2)  op2(e20, e24) = all_16_4
% 244.99/48.97    (3)   ~ (e24 = e20)
% 244.99/48.97    (4)   ~ (e23 = e21)
% 244.99/48.97    (5)  all_24_11 = e23
% 244.99/48.97    (6)  op2(e23, e21) = e24
% 244.99/48.97    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 244.99/48.97           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 244.99/48.97           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 244.99/48.97    (8)  op2(e23, e23) = e21
% 244.99/48.97    (9)  all_24_14 = e20
% 244.99/48.97    (10)  all_24_2 = e22
% 244.99/48.97    (11)   ~ (e23 = e22)
% 244.99/48.97    (12)   ~ (e22 = e20)
% 244.99/48.97    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 244.99/48.97            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 244.99/48.97    (14)  op2(e23, e24) = e22
% 244.99/48.97    (15)   ~ (e23 = e20)
% 244.99/48.97    (16)   ~ (all_16_7 = e23)
% 244.99/48.97    (17)  op2(e24, e23) = e22
% 244.99/48.97    (18)  op2(e24, e22) = e23
% 244.99/48.97    (19)   ~ (e24 = e21)
% 244.99/48.97    (20)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.99/48.97              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 244.99/48.97            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.97    (21)   ~ (e22 = e21)
% 244.99/48.97    (22)  op2(e23, e22) = e20
% 244.99/48.97    (23)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 244.99/48.97              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 244.99/48.97            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 244.99/48.97    (24)  all_24_1 = e22
% 244.99/48.97    (25)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 244.99/48.97            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 244.99/48.97            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 244.99/48.97    (26)  all_24_4 = e23
% 244.99/48.97    (27)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.97            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 244.99/48.97            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 244.99/48.97    (28)  op2(e22, e23) = all_16_7
% 244.99/48.97    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 244.99/48.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 244.99/48.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 244.99/48.97    (30)   ~ (all_16_4 = e22)
% 244.99/48.97    (31)   ~ (e21 = e20)
% 244.99/48.97    (32)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 244.99/48.97            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 244.99/48.97            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 244.99/48.97    (33)  all_24_9 = e20
% 244.99/48.97    (34)   ~ (e24 = e22)
% 244.99/48.97    (35)  all_24_17 = e23
% 244.99/48.97    (36)   ~ (e24 = e23)
% 244.99/48.97    (37)  op2(e23, e21) = all_10_1
% 244.99/48.97    (38)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.97            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 244.99/48.97            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 244.99/48.97    (39)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 244.99/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 244.99/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 244.99/48.97    (40)  all_24_5 = e20
% 244.99/48.97    (41)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 244.99/48.97            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 244.99/48.97            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 244.99/48.97    (42)  all_24_3 = e21
% 244.99/48.97    (43)  all_24_15 = e22
% 244.99/48.97    (44)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 244.99/48.97            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 244.99/48.97            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 244.99/48.97  
% 244.99/48.97  Begin of proof
% 244.99/48.97  | 
% 244.99/48.97  | BETA: splitting (20) gives:
% 244.99/48.97  | 
% 244.99/48.97  | Case 1:
% 244.99/48.97  | | 
% 244.99/48.97  | |   (45)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 244.99/48.97  | |             e21) = e21)
% 244.99/48.97  | | 
% 244.99/48.97  | | REF_CLOSE: (6), (13), (19), (31), (33), (37), (45) are inconsistent by
% 244.99/48.97  | |            sub-proof #656.
% 244.99/48.97  | | 
% 244.99/48.97  | Case 2:
% 244.99/48.97  | | 
% 244.99/48.97  | |   (46)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 = e21 &
% 244.99/48.97  | |           op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 244.99/48.97  | | 
% 244.99/48.97  | | BETA: splitting (46) gives:
% 244.99/48.97  | | 
% 244.99/48.97  | | Case 1:
% 244.99/48.97  | | | 
% 244.99/48.97  | | |   (47)  all_24_11 = e21 & op2(e22, e21) = e21
% 244.99/48.97  | | | 
% 244.99/48.97  | | | REF_CLOSE: (4), (5), (6), (8), (10), (11), (13), (15), (19), (22), (34),
% 244.99/48.97  | | |            (35), (36), (37), (39), (44), (47) are inconsistent by
% 244.99/48.97  | | |            sub-proof #624.
% 244.99/48.97  | | | 
% 244.99/48.97  | | Case 2:
% 244.99/48.97  | | | 
% 244.99/48.97  | | |   (48)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 244.99/48.97  | | |           op2(e20, e21) = e21)
% 244.99/48.97  | | | 
% 244.99/48.97  | | | BETA: splitting (48) gives:
% 244.99/48.97  | | | 
% 244.99/48.97  | | | Case 1:
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | |   (49)  all_24_15 = e21 & op2(e21, e21) = e21
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (13), (15), (19), (21),
% 244.99/48.97  | | | |            (22), (29), (34), (36), (37), (39), (40), (43), (44), (49)
% 244.99/48.97  | | | |            are inconsistent by sub-proof #616.
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | Case 2:
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | |   (50)  all_24_23 = e21 & op2(e20, e21) = e21
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | | ALPHA: (50) implies:
% 244.99/48.97  | | | |   (51)  all_24_23 = e21
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | | BETA: splitting (23) gives:
% 244.99/48.97  | | | | 
% 244.99/48.97  | | | | Case 1:
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | |   (52)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 244.99/48.97  | | | | |           op2(e20, e23) = e22)
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (12), (13), (14),
% 244.99/48.97  | | | | |            (15), (16), (17), (19), (21), (22), (24), (27), (28), (29),
% 244.99/48.97  | | | | |            (30), (31), (34), (35), (36), (37), (38), (39), (41), (42),
% 244.99/48.97  | | | | |            (44), (52) are inconsistent by sub-proof #775.
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | Case 2:
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | |   (53)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 244.99/48.97  | | | | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 244.99/48.97  | | | | |           e22)
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | | BETA: splitting (53) gives:
% 244.99/48.97  | | | | | 
% 244.99/48.97  | | | | | Case 1:
% 244.99/48.97  | | | | | | 
% 244.99/48.97  | | | | | |   (54)  all_24_22 = e22 & op2(e20, e22) = e22
% 244.99/48.97  | | | | | | 
% 244.99/48.97  | | | | | | ALPHA: (54) implies:
% 244.99/48.97  | | | | | |   (55)  all_24_22 = e22
% 244.99/48.97  | | | | | | 
% 245.02/48.97  | | | | | | REF_CLOSE: (3), (4), (6), (8), (9), (10), (11), (12), (13), (15),
% 245.02/48.97  | | | | | |            (18), (19), (21), (22), (25), (26), (29), (31), (32),
% 245.02/48.97  | | | | | |            (34), (35), (36), (37), (39), (40), (44), (55) are
% 245.02/48.97  | | | | | |            inconsistent by sub-proof #600.
% 245.02/48.97  | | | | | | 
% 245.02/48.97  | | | | | Case 2:
% 245.02/48.97  | | | | | | 
% 245.02/48.97  | | | | | |   (56)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 245.02/48.97  | | | | | |           op2(e20, e20) = e22)
% 245.02/48.97  | | | | | | 
% 245.02/48.97  | | | | | | BETA: splitting (56) gives:
% 245.02/48.97  | | | | | | 
% 245.02/48.97  | | | | | | Case 1:
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | |   (57)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (13), (15), (19),
% 245.02/48.97  | | | | | | |            (21), (22), (29), (34), (36), (37), (39), (40), (44),
% 245.02/48.97  | | | | | | |            (51), (57) are inconsistent by sub-proof #784.
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | Case 2:
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | |   (58)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (10), (11), (12), (13),
% 245.02/48.97  | | | | | | |            (15), (19), (21), (22), (29), (31), (34), (36), (37),
% 245.02/48.97  | | | | | | |            (39), (44), (58) are inconsistent by sub-proof #722.
% 245.02/48.97  | | | | | | | 
% 245.02/48.97  | | | | | | End of split
% 245.02/48.97  | | | | | | 
% 245.02/48.97  | | | | | End of split
% 245.02/48.97  | | | | | 
% 245.02/48.97  | | | | End of split
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | End of split
% 245.02/48.97  | | | 
% 245.02/48.97  | | End of split
% 245.02/48.97  | | 
% 245.02/48.97  | End of split
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #600 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)   ~ (e24 = e20)
% 245.02/48.97    (2)   ~ (e23 = e21)
% 245.02/48.97    (3)  op2(e23, e21) = e24
% 245.02/48.97    (4)  op2(e23, e23) = e21
% 245.02/48.97    (5)  all_24_14 = e20
% 245.02/48.97    (6)  all_24_2 = e22
% 245.02/48.97    (7)   ~ (e23 = e22)
% 245.02/48.97    (8)   ~ (e22 = e20)
% 245.02/48.97    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.97           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.97    (10)   ~ (e23 = e20)
% 245.02/48.97    (11)  op2(e24, e22) = e23
% 245.02/48.97    (12)   ~ (e24 = e21)
% 245.02/48.97    (13)   ~ (e22 = e21)
% 245.02/48.97    (14)  op2(e23, e22) = e20
% 245.02/48.97    (15)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.02/48.97            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.02/48.97            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.02/48.97    (16)  all_24_4 = e23
% 245.02/48.97    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.97    (18)   ~ (e21 = e20)
% 245.02/48.97    (19)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.02/48.97            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.02/48.97            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.02/48.97    (20)   ~ (e24 = e22)
% 245.02/48.97    (21)  all_24_17 = e23
% 245.02/48.97    (22)   ~ (e24 = e23)
% 245.02/48.97    (23)  op2(e23, e21) = all_10_1
% 245.02/48.97    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.97    (25)  all_24_5 = e20
% 245.02/48.97    (26)  all_24_22 = e22
% 245.02/48.97    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.97            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.97            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | BETA: splitting (15) gives:
% 245.02/48.97  | 
% 245.02/48.97  | Case 1:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (28)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 245.02/48.97  | |             e22) = e24)
% 245.02/48.97  | | 
% 245.02/48.97  | | REF_CLOSE: (1), (9), (11), (22), (25), (28) are inconsistent by sub-proof
% 245.02/48.97  | |            #617.
% 245.02/48.97  | | 
% 245.02/48.97  | Case 2:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (29)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 245.02/48.97  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.02/48.97  | | 
% 245.02/48.97  | | BETA: splitting (29) gives:
% 245.02/48.97  | | 
% 245.02/48.97  | | Case 1:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (30)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.02/48.97  | | | 
% 245.02/48.97  | | | ALPHA: (30) implies:
% 245.02/48.97  | | |   (31)  all_24_8 = e24
% 245.02/48.97  | | | 
% 245.02/48.97  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.02/48.97  | | |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.02/48.97  | | |            (25), (26), (27), (31) are inconsistent by sub-proof #602.
% 245.02/48.97  | | | 
% 245.02/48.97  | | Case 2:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (32)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 245.02/48.97  | | |           op2(e20, e22) = e24)
% 245.02/48.97  | | | 
% 245.02/48.97  | | | BETA: splitting (32) gives:
% 245.02/48.97  | | | 
% 245.02/48.97  | | | Case 1:
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | |   (33)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | ALPHA: (33) implies:
% 245.02/48.97  | | | |   (34)  all_24_14 = e24
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | COMBINE_EQS: (5), (34) imply:
% 245.02/48.97  | | | |   (35)  e24 = e20
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | REDUCE: (1), (35) imply:
% 245.02/48.97  | | | |   (36)  $false
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | CLOSE: (36) is inconsistent.
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | Case 2:
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | |   (37)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | REF_CLOSE: (20), (26), (37) are inconsistent by sub-proof #601.
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | End of split
% 245.02/48.97  | | | 
% 245.02/48.97  | | End of split
% 245.02/48.97  | | 
% 245.02/48.97  | End of split
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #601 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/48.97    (2)  all_24_22 = e22
% 245.02/48.97    (3)   ~ (e24 = e22)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | ALPHA: (1) implies:
% 245.02/48.97  |   (4)  all_24_22 = e24
% 245.02/48.97  | 
% 245.02/48.97  | COMBINE_EQS: (2), (4) imply:
% 245.02/48.97  |   (5)  e24 = e22
% 245.02/48.97  | 
% 245.02/48.97  | REDUCE: (3), (5) imply:
% 245.02/48.97  |   (6)  $false
% 245.02/48.97  | 
% 245.02/48.97  | CLOSE: (6) is inconsistent.
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #602 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  all_24_8 = e24
% 245.02/48.97    (2)   ~ (e24 = e20)
% 245.02/48.97    (3)   ~ (e23 = e21)
% 245.02/48.97    (4)  op2(e23, e21) = e24
% 245.02/48.97    (5)  op2(e23, e23) = e21
% 245.02/48.97    (6)  all_24_14 = e20
% 245.02/48.97    (7)  all_24_2 = e22
% 245.02/48.97    (8)   ~ (e23 = e22)
% 245.02/48.97    (9)   ~ (e22 = e20)
% 245.02/48.97    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.97            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.97    (11)   ~ (e23 = e20)
% 245.02/48.97    (12)   ~ (e24 = e21)
% 245.02/48.97    (13)   ~ (e22 = e21)
% 245.02/48.97    (14)  op2(e23, e22) = e20
% 245.02/48.97    (15)  all_24_4 = e23
% 245.02/48.97    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.97    (17)   ~ (e21 = e20)
% 245.02/48.97    (18)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.02/48.97            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.02/48.97            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.02/48.97    (19)   ~ (e24 = e22)
% 245.02/48.97    (20)  all_24_17 = e23
% 245.02/48.97    (21)   ~ (e24 = e23)
% 245.02/48.97    (22)  op2(e23, e21) = all_10_1
% 245.02/48.97    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.97    (24)  all_24_5 = e20
% 245.02/48.97    (25)  all_24_22 = e22
% 245.02/48.97    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.97            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.97            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | BETA: splitting (18) gives:
% 245.02/48.97  | 
% 245.02/48.97  | Case 1:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 245.02/48.97  | |             e22) = e21)
% 245.02/48.97  | | 
% 245.02/48.97  | | BETA: splitting (27) gives:
% 245.02/48.97  | | 
% 245.02/48.97  | | Case 1:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (28)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.02/48.97  | | | 
% 245.02/48.97  | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (11), (12), (14), (15), (19),
% 245.02/48.97  | | |            (20), (21), (22), (23), (26), (28) are inconsistent by
% 245.02/48.97  | | |            sub-proof #664.
% 245.02/48.97  | | | 
% 245.02/48.97  | | Case 2:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (29)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.02/48.97  | | | 
% 245.02/48.97  | | | REF_CLOSE: (10), (14), (17), (29) are inconsistent by sub-proof #1318.
% 245.02/48.97  | | | 
% 245.02/48.97  | | End of split
% 245.02/48.97  | | 
% 245.02/48.97  | Case 2:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (30)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 245.02/48.97  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.02/48.97  | | 
% 245.02/48.97  | | BETA: splitting (30) gives:
% 245.02/48.97  | | 
% 245.02/48.97  | | Case 1:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (31)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.02/48.97  | | | 
% 245.02/48.97  | | | ALPHA: (31) implies:
% 245.02/48.97  | | |   (32)  all_24_8 = e21
% 245.02/48.97  | | | 
% 245.02/48.97  | | | REF_CLOSE: (1), (12), (32) are inconsistent by sub-proof #603.
% 245.02/48.97  | | | 
% 245.02/48.97  | | Case 2:
% 245.02/48.97  | | | 
% 245.02/48.97  | | |   (33)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 245.02/48.97  | | |           op2(e20, e22) = e21)
% 245.02/48.97  | | | 
% 245.02/48.97  | | | BETA: splitting (33) gives:
% 245.02/48.97  | | | 
% 245.02/48.97  | | | Case 1:
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | |   (34)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | REF_CLOSE: (6), (17), (34) are inconsistent by sub-proof #850.
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | Case 2:
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | |   (35)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.02/48.97  | | | |            (14), (16), (19), (21), (22), (23), (24), (25), (26), (35)
% 245.02/48.97  | | | |            are inconsistent by sub-proof #849.
% 245.02/48.97  | | | | 
% 245.02/48.97  | | | End of split
% 245.02/48.97  | | | 
% 245.02/48.97  | | End of split
% 245.02/48.97  | | 
% 245.02/48.97  | End of split
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #603 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  all_24_8 = e24
% 245.02/48.97    (2)  all_24_8 = e21
% 245.02/48.97    (3)   ~ (e24 = e21)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | COMBINE_EQS: (1), (2) imply:
% 245.02/48.97  |   (4)  e24 = e21
% 245.02/48.97  | 
% 245.02/48.97  | SIMP: (4) implies:
% 245.02/48.97  |   (5)  e24 = e21
% 245.02/48.97  | 
% 245.02/48.97  | REDUCE: (3), (5) imply:
% 245.02/48.97  |   (6)  $false
% 245.02/48.97  | 
% 245.02/48.97  | CLOSE: (6) is inconsistent.
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #604 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20,
% 245.02/48.97             e23) = e24)
% 245.02/48.97    (2)   ~ (e24 = e20)
% 245.02/48.97    (3)   ~ (e23 = e21)
% 245.02/48.97    (4)  op2(e23, e23) = e21
% 245.02/48.97    (5)   ~ (e23 = e22)
% 245.02/48.97    (6)  op2(e21, e23) = all_16_8
% 245.02/48.97    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.97           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.97    (8)  all_24_13 = e20
% 245.02/48.97    (9)   ~ (all_16_7 = e23)
% 245.02/48.97    (10)  op2(e24, e23) = e22
% 245.02/48.97    (11)   ~ (all_16_8 = e23)
% 245.02/48.97    (12)  op2(e22, e23) = all_16_7
% 245.02/48.97    (13)   ~ (e24 = e23)
% 245.02/48.97    (14)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.97            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/48.97            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | BETA: splitting (1) gives:
% 245.02/48.97  | 
% 245.02/48.97  | Case 1:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (15)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.02/48.97  | | 
% 245.02/48.97  | | ALPHA: (15) implies:
% 245.02/48.97  | |   (16)  all_24_13 = e24
% 245.02/48.97  | | 
% 245.02/48.97  | | REF_CLOSE: (2), (8), (16) are inconsistent by sub-proof #834.
% 245.02/48.97  | | 
% 245.02/48.97  | Case 2:
% 245.02/48.97  | | 
% 245.02/48.97  | |   (17)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.02/48.97  | | 
% 245.02/48.97  | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14), (17)
% 245.02/48.97  | |            are inconsistent by sub-proof #837.
% 245.02/48.97  | | 
% 245.02/48.97  | End of split
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #605 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  all_24_20 = e20 & op2(e20, e24) = e20
% 245.02/48.97    (2)  all_24_20 = e24
% 245.02/48.97    (3)   ~ (e24 = e20)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | ALPHA: (1) implies:
% 245.02/48.97  |   (4)  all_24_20 = e20
% 245.02/48.97  | 
% 245.02/48.97  | COMBINE_EQS: (2), (4) imply:
% 245.02/48.97  |   (5)  e24 = e20
% 245.02/48.97  | 
% 245.02/48.97  | REDUCE: (3), (5) imply:
% 245.02/48.97  |   (6)  $false
% 245.02/48.97  | 
% 245.02/48.97  | CLOSE: (6) is inconsistent.
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #606 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)   ~ (e24 = e20)
% 245.02/48.97    (2)   ~ (e23 = e21)
% 245.02/48.97    (3)  op2(e23, e21) = e24
% 245.02/48.97    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.97           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.97           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.97    (5)  op2(e23, e23) = e21
% 245.02/48.97    (6)  all_24_2 = e22
% 245.02/48.97    (7)   ~ (e23 = e22)
% 245.02/48.97    (8)   ~ (e22 = e20)
% 245.02/48.97    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.97           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.97    (10)  all_24_7 = e24
% 245.02/48.97    (11)  all_24_21 = e23
% 245.02/48.97    (12)   ~ (e23 = e20)
% 245.02/48.97    (13)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/48.97    (14)  op2(e24, e23) = e22
% 245.02/48.97    (15)   ~ (e24 = e21)
% 245.02/48.97    (16)   ~ (e22 = e21)
% 245.02/48.97    (17)  op2(e23, e22) = e20
% 245.02/48.97    (18)  all_24_1 = e22
% 245.02/48.97    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/48.97            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/48.97    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.97            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.97            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.97    (21)   ~ (e21 = e20)
% 245.02/48.97    (22)   ~ (e24 = e22)
% 245.02/48.97    (23)  all_24_17 = e23
% 245.02/48.97    (24)   ~ (e24 = e23)
% 245.02/48.97    (25)  op2(e23, e21) = all_10_1
% 245.02/48.97    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.97    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/48.97            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/48.97            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/48.97    (28)  all_24_22 = e22
% 245.02/48.97    (29)  all_24_3 = e21
% 245.02/48.97    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.97            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.97            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.97  
% 245.02/48.97  Begin of proof
% 245.02/48.97  | 
% 245.02/48.97  | ALPHA: (13) implies:
% 245.02/48.97  |   (31)  all_24_22 = e24
% 245.02/48.97  | 
% 245.02/48.97  | COMBINE_EQS: (28), (31) imply:
% 245.02/48.97  |   (32)  e24 = e22
% 245.02/48.97  | 
% 245.02/48.97  | COMBINE_EQS: (10), (32) imply:
% 245.02/48.97  |   (33)  all_24_7 = e22
% 245.02/48.97  | 
% 245.02/48.97  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14),
% 245.02/48.97  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.02/48.97  |            (26), (27), (29), (30), (33) are inconsistent by sub-proof #812.
% 245.02/48.97  | 
% 245.02/48.97  End of proof
% 245.02/48.97  
% 245.02/48.97  Sub-proof #607 shows that the following formulas are inconsistent:
% 245.02/48.97  ----------------------------------------------------------------
% 245.02/48.97    (1)  all_24_20 = e24
% 245.02/48.97    (2)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.02/48.97    (3)   ~ (e24 = e20)
% 245.02/48.97    (4)   ~ (e23 = e21)
% 245.02/48.97    (5)  op2(e23, e21) = e24
% 245.02/48.97    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.97           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.97           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.97    (7)  op2(e23, e23) = e21
% 245.02/48.97    (8)  all_24_2 = e22
% 245.02/48.97    (9)   ~ (e23 = e22)
% 245.02/48.97    (10)   ~ (e22 = e20)
% 245.02/48.97    (11)  op2(e21, e23) = all_16_8
% 245.02/48.97    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.97            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.97    (13)  all_24_7 = e24
% 245.02/48.97    (14)  all_24_21 = e23
% 245.02/48.97    (15)   ~ (e23 = e20)
% 245.02/48.97    (16)   ~ (all_16_7 = e23)
% 245.02/48.97    (17)  op2(e24, e23) = e22
% 245.02/48.97    (18)   ~ (e24 = e21)
% 245.02/48.97    (19)   ~ (e22 = e21)
% 245.02/48.97    (20)  op2(e23, e22) = e20
% 245.02/48.97    (21)  all_24_1 = e22
% 245.02/48.97    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/48.97            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/48.97    (23)   ~ (all_16_8 = e23)
% 245.02/48.97    (24)  op2(e22, e23) = all_16_7
% 245.02/48.97    (25)   ~ (e21 = e20)
% 245.02/48.97    (26)   ~ (e24 = e22)
% 245.02/48.97    (27)  all_24_17 = e23
% 245.02/48.97    (28)   ~ (e24 = e23)
% 245.02/48.97    (29)  op2(e23, e21) = all_10_1
% 245.02/48.97    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.97            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/48.97            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/48.97    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.97            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.97            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/48.98            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/48.98            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/48.98    (33)  all_24_3 = e21
% 245.02/48.98    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (2) implies:
% 245.02/48.98  |   (35)  all_24_20 = e21
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (1), (35) imply:
% 245.02/48.98  |   (36)  e24 = e21
% 245.02/48.98  | 
% 245.02/48.98  | SIMP: (36) implies:
% 245.02/48.98  |   (37)  e24 = e21
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (13), (37) imply:
% 245.02/48.98  |   (38)  all_24_7 = e21
% 245.02/48.98  | 
% 245.02/48.98  | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 245.02/48.98  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 245.02/48.98  |            (27), (28), (29), (30), (31), (32), (33), (34), (38) are
% 245.02/48.98  |            inconsistent by sub-proof #744.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #608 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (all_22_58 = all_22_59)
% 245.02/48.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (3)  op2(e20, e21) = e21
% 245.02/48.98    (4)  op2(e21, e20) = all_22_59
% 245.02/48.98    (5)  op2(e20, e21) = all_22_58
% 245.02/48.98    (6)  op2(e21, e20) = e21
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (2) with e21, all_22_58, e21, e20, simplifying with
% 245.02/48.98  |              (3), (5) gives:
% 245.02/48.98  |   (7)  all_22_58 = e21
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (2) with e21, all_22_59, e20, e21, simplifying with
% 245.02/48.98  |              (4), (6) gives:
% 245.02/48.98  |   (8)  all_22_59 = e21
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (1), (7), (8) imply:
% 245.02/48.98  |   (9)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (9) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #609 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  op2(e20, e22) = e22
% 245.02/48.98    (2)  op2(e22, e20) = e22
% 245.02/48.98    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (4)   ~ (all_22_54 = all_22_55)
% 245.02/48.98    (5)  op2(e22, e20) = all_22_55
% 245.02/48.98    (6)  op2(e20, e22) = all_22_54
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (3) with e22, all_22_54, e22, e20, simplifying with
% 245.02/48.98  |              (1), (6) gives:
% 245.02/48.98  |   (7)  all_22_54 = e22
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (3) with e22, all_22_55, e20, e22, simplifying with
% 245.02/48.98  |              (2), (5) gives:
% 245.02/48.98  |   (8)  all_22_55 = e22
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (4), (7), (8) imply:
% 245.02/48.98  |   (9)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (9) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #610 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  op2(e23, e20) = e23
% 245.02/48.98    (2)  op2(e20, e23) = e23
% 245.02/48.98    (3)   ~ (all_22_50 = all_22_51)
% 245.02/48.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (5)  op2(e23, e20) = all_22_51
% 245.02/48.98    (6)  op2(e20, e23) = all_22_50
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (4) with e23, all_22_50, e23, e20, simplifying with
% 245.02/48.98  |              (2), (6) gives:
% 245.02/48.98  |   (7)  all_22_50 = e23
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (4) with e23, all_22_51, e20, e23, simplifying with
% 245.02/48.98  |              (1), (5) gives:
% 245.02/48.98  |   (8)  all_22_51 = e23
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (3), (7), (8) imply:
% 245.02/48.98  |   (9)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (9) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #611 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  all_20_14 = e21 | all_20_14 = e20
% 245.02/48.98    (2)  all_20_14 = all_16_22
% 245.02/48.98    (3)   ~ (all_16_22 = e21)
% 245.02/48.98    (4)   ~ (all_16_22 = e20)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | BETA: splitting (1) gives:
% 245.02/48.98  | 
% 245.02/48.98  | Case 1:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (5)  all_20_14 = e21
% 245.02/48.98  | | 
% 245.02/48.98  | | COMBINE_EQS: (2), (5) imply:
% 245.02/48.98  | |   (6)  all_16_22 = e21
% 245.02/48.98  | | 
% 245.02/48.98  | | SIMP: (6) implies:
% 245.02/48.98  | |   (7)  all_16_22 = e21
% 245.02/48.98  | | 
% 245.02/48.98  | | REDUCE: (3), (7) imply:
% 245.02/48.98  | |   (8)  $false
% 245.02/48.98  | | 
% 245.02/48.98  | | CLOSE: (8) is inconsistent.
% 245.02/48.98  | | 
% 245.02/48.98  | Case 2:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (9)  all_20_14 = e20
% 245.02/48.98  | | 
% 245.02/48.98  | | COMBINE_EQS: (2), (9) imply:
% 245.02/48.98  | |   (10)  all_16_22 = e20
% 245.02/48.98  | | 
% 245.02/48.98  | | SIMP: (10) implies:
% 245.02/48.98  | |   (11)  all_16_22 = e20
% 245.02/48.98  | | 
% 245.02/48.98  | | REDUCE: (4), (11) imply:
% 245.02/48.98  | |   (12)  $false
% 245.02/48.98  | | 
% 245.02/48.98  | | CLOSE: (12) is inconsistent.
% 245.02/48.98  | | 
% 245.02/48.98  | End of split
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #612 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (2)  op2(e24, e21) = all_16_15
% 245.02/48.98    (3)  op2(e24, e21) = e23
% 245.02/48.98    (4)   ~ (all_16_15 = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (1) with all_16_15, e23, e21, e24, simplifying with
% 245.02/48.98  |              (2), (3) gives:
% 245.02/48.98  |   (5)  all_16_15 = e23
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (4), (5) imply:
% 245.02/48.98  |   (6)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (6) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #613 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  op2(e24, e20) = e24
% 245.02/48.98    (2)  (all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~ (all_22_46 = all_22_47) &
% 245.02/48.98           op2(all_22_47, e24) = all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 245.02/48.98             e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_6) &
% 245.02/48.98           $i(all_22_46) & $i(all_22_47)) | (all_22_9 = e23 &  ~ (all_22_8 = e24)
% 245.02/48.98           &  ~ (all_22_10 = all_22_11) & op2(all_22_10, e24) = e23 &
% 245.02/48.98           op2(all_22_10, e23) = all_22_8 & op2(e24, e23) = all_22_11 & op2(e23,
% 245.02/48.98             e24) = all_22_10 & $i(all_22_8) & $i(all_22_10) & $i(all_22_11))
% 245.02/48.98    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (4)  op2(e23, e24) = e22
% 245.02/48.98    (5)  op2(e24, e23) = e22
% 245.02/48.98    (6)  op2(e20, e24) = e24
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | BETA: splitting (2) gives:
% 245.02/48.98  | 
% 245.02/48.98  | Case 1:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (7)  all_22_7 = e24 &  ~ (all_22_6 = e20) &  ~ (all_22_46 = all_22_47) &
% 245.02/48.98  | |        op2(all_22_47, e24) = all_22_6 & op2(all_22_47, e20) = e24 & op2(e24,
% 245.02/48.98  | |          e20) = all_22_47 & op2(e20, e24) = all_22_46 & $i(all_22_6) &
% 245.02/48.98  | |        $i(all_22_46) & $i(all_22_47)
% 245.02/48.98  | | 
% 245.02/48.98  | | ALPHA: (7) implies:
% 245.02/48.98  | |   (8)   ~ (all_22_46 = all_22_47)
% 245.02/48.98  | |   (9)  op2(e20, e24) = all_22_46
% 245.02/48.98  | |   (10)  op2(e24, e20) = all_22_47
% 245.02/48.98  | | 
% 245.02/48.98  | | REF_CLOSE: (1), (3), (6), (8), (9), (10) are inconsistent by sub-proof #614.
% 245.02/48.98  | | 
% 245.02/48.98  | Case 2:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (11)  all_22_9 = e23 &  ~ (all_22_8 = e24) &  ~ (all_22_10 = all_22_11) &
% 245.02/48.98  | |         op2(all_22_10, e24) = e23 & op2(all_22_10, e23) = all_22_8 &
% 245.02/48.98  | |         op2(e24, e23) = all_22_11 & op2(e23, e24) = all_22_10 & $i(all_22_8)
% 245.02/48.98  | |         & $i(all_22_10) & $i(all_22_11)
% 245.02/48.98  | | 
% 245.02/48.98  | | ALPHA: (11) implies:
% 245.02/48.98  | |   (12)   ~ (all_22_10 = all_22_11)
% 245.02/48.98  | |   (13)  op2(e23, e24) = all_22_10
% 245.02/48.98  | |   (14)  op2(e24, e23) = all_22_11
% 245.02/48.98  | | 
% 245.02/48.98  | | REF_CLOSE: (3), (4), (5), (12), (13), (14) are inconsistent by sub-proof
% 245.02/48.98  | |            #615.
% 245.02/48.98  | | 
% 245.02/48.98  | End of split
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #614 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  op2(e20, e24) = all_22_46
% 245.02/48.98    (2)  op2(e24, e20) = e24
% 245.02/48.98    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (4)   ~ (all_22_46 = all_22_47)
% 245.02/48.98    (5)  op2(e20, e24) = e24
% 245.02/48.98    (6)  op2(e24, e20) = all_22_47
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (3) with e24, all_22_46, e24, e20, simplifying with
% 245.02/48.98  |              (1), (5) gives:
% 245.02/48.98  |   (7)  all_22_46 = e24
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (3) with e24, all_22_47, e20, e24, simplifying with
% 245.02/48.98  |              (2), (6) gives:
% 245.02/48.98  |   (8)  all_22_47 = e24
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (4), (7), (8) imply:
% 245.02/48.98  |   (9)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (9) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #615 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  op2(e23, e24) = all_22_10
% 245.02/48.98    (2)   ~ (all_22_10 = all_22_11)
% 245.02/48.98    (3)  op2(e24, e23) = all_22_11
% 245.02/48.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (5)  op2(e23, e24) = e22
% 245.02/48.98    (6)  op2(e24, e23) = e22
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (4) with e22, all_22_10, e24, e23, simplifying with
% 245.02/48.98  |              (1), (5) gives:
% 245.02/48.98  |   (7)  all_22_10 = e22
% 245.02/48.98  | 
% 245.02/48.98  | GROUND_INST: instantiating (4) with e22, all_22_11, e23, e24, simplifying with
% 245.02/48.98  |              (3), (6) gives:
% 245.02/48.98  |   (8)  all_22_11 = e22
% 245.02/48.98  | 
% 245.02/48.98  | REDUCE: (2), (7), (8) imply:
% 245.02/48.98  |   (9)  $false
% 245.02/48.98  | 
% 245.02/48.98  | CLOSE: (9) is inconsistent.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #616 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e24 = e20)
% 245.02/48.98    (2)   ~ (e23 = e21)
% 245.02/48.98    (3)  op2(e23, e21) = e24
% 245.02/48.98    (4)  op2(e23, e23) = e21
% 245.02/48.98    (5)  all_24_2 = e22
% 245.02/48.98    (6)   ~ (e23 = e22)
% 245.02/48.98    (7)   ~ (e22 = e20)
% 245.02/48.98    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (9)   ~ (e23 = e20)
% 245.02/48.98    (10)   ~ (e24 = e21)
% 245.02/48.98    (11)  all_24_15 = e21 & op2(e21, e21) = e21
% 245.02/48.98    (12)   ~ (e22 = e21)
% 245.02/48.98    (13)  op2(e23, e22) = e20
% 245.02/48.98    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.98            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.98            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.98    (15)   ~ (e24 = e22)
% 245.02/48.98    (16)   ~ (e24 = e23)
% 245.02/48.98    (17)  op2(e23, e21) = all_10_1
% 245.02/48.98    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.98            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (19)  all_24_5 = e20
% 245.02/48.98    (20)  all_24_15 = e22
% 245.02/48.98    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (11) implies:
% 245.02/48.98  |   (22)  all_24_15 = e21
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (20), (22) imply:
% 245.02/48.98  |   (23)  e22 = e21
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (5), (23) imply:
% 245.02/48.98  |   (24)  all_24_2 = e21
% 245.02/48.98  | 
% 245.02/48.98  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.02/48.98  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 245.02/48.98  |            sub-proof #1298.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #617 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e24 = e20)
% 245.02/48.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (3)  op2(e24, e22) = e23
% 245.02/48.98    (4)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.02/48.98           = e24)
% 245.02/48.98    (5)   ~ (e24 = e23)
% 245.02/48.98    (6)  all_24_5 = e20
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | BETA: splitting (4) gives:
% 245.02/48.98  | 
% 245.02/48.98  | Case 1:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (7)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.02/48.98  | | 
% 245.02/48.98  | | ALPHA: (7) implies:
% 245.02/48.98  | |   (8)  op2(e24, e22) = e24
% 245.02/48.98  | | 
% 245.02/48.98  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #660.
% 245.02/48.98  | | 
% 245.02/48.98  | Case 2:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (9)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.02/48.98  | | 
% 245.02/48.98  | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1322.
% 245.02/48.98  | | 
% 245.02/48.98  | End of split
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #618 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e23 = e21)
% 245.02/48.98    (2)  all_24_11 = e23
% 245.02/48.98    (3)  op2(e23, e21) = e24
% 245.02/48.98    (4)  op2(e23, e23) = e21
% 245.02/48.98    (5)   ~ (e23 = e22)
% 245.02/48.98    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (7)  op2(e23, e24) = e22
% 245.02/48.98    (8)   ~ (e23 = e20)
% 245.02/48.98    (9)  op2(e23, e22) = e20
% 245.02/48.98    (10)  all_24_17 = e23
% 245.02/48.98    (11)   ~ (e24 = e23)
% 245.02/48.98    (12)  op2(e23, e21) = all_10_1
% 245.02/48.98    (13)  all_24_11 = e22 & op2(e22, e21) = e22
% 245.02/48.98    (14)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (13) implies:
% 245.02/48.98  |   (15)  all_24_11 = e22
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (2), (15) imply:
% 245.02/48.98  |   (16)  e23 = e22
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (10), (16) imply:
% 245.02/48.98  |   (17)  all_24_17 = e22
% 245.02/48.98  | 
% 245.02/48.98  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14), (17) are
% 245.02/48.98  |            inconsistent by sub-proof #795.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #619 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)  all_24_24 = e20
% 245.02/48.98    (2)   ~ (e24 = e20)
% 245.02/48.98    (3)   ~ (e23 = e21)
% 245.02/48.98    (4)  op2(e23, e21) = e24
% 245.02/48.98    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.98           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.98           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.98    (6)  op2(e23, e23) = e21
% 245.02/48.98    (7)  all_24_2 = e22
% 245.02/48.98    (8)   ~ (e23 = e22)
% 245.02/48.98    (9)   ~ (e22 = e20)
% 245.02/48.98    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (11)   ~ (e23 = e20)
% 245.02/48.98    (12)   ~ (e24 = e21)
% 245.02/48.98    (13)   ~ (e22 = e21)
% 245.02/48.98    (14)  op2(e23, e22) = e20
% 245.02/48.98    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.98            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.98            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.98    (16)   ~ (e21 = e20)
% 245.02/48.98    (17)   ~ (e24 = e22)
% 245.02/48.98    (18)   ~ (e24 = e23)
% 245.02/48.98    (19)  op2(e23, e21) = all_10_1
% 245.02/48.98    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.98            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (21)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.02/48.98    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (21) implies:
% 245.02/48.98  |   (23)  all_24_24 = e22
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (1), (23) imply:
% 245.02/48.98  |   (24)  e22 = e20
% 245.02/48.98  | 
% 245.02/48.98  | SIMP: (24) implies:
% 245.02/48.98  |   (25)  e22 = e20
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (7), (25) imply:
% 245.02/48.98  |   (26)  all_24_2 = e20
% 245.02/48.98  | 
% 245.02/48.98  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 245.02/48.98  |            (15), (16), (17), (18), (19), (20), (22), (26) are inconsistent by
% 245.02/48.98  |            sub-proof #1307.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #620 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e24 = e20)
% 245.02/48.98    (2)   ~ (e23 = e21)
% 245.02/48.98    (3)  op2(e23, e21) = e24
% 245.02/48.98    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.98           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.98           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.98    (5)  op2(e23, e23) = e21
% 245.02/48.98    (6)  all_24_14 = e21
% 245.02/48.98    (7)  all_24_2 = e22
% 245.02/48.98    (8)   ~ (e23 = e22)
% 245.02/48.98    (9)   ~ (e22 = e20)
% 245.02/48.98    (10)  op2(e21, e23) = all_16_8
% 245.02/48.98    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (12)  all_24_7 = e24
% 245.02/48.98    (13)  all_24_21 = e23
% 245.02/48.98    (14)   ~ (e23 = e20)
% 245.02/48.98    (15)   ~ (all_16_7 = e23)
% 245.02/48.98    (16)  op2(e24, e23) = e22
% 245.02/48.98    (17)  op2(e24, e22) = e23
% 245.02/48.98    (18)   ~ (e24 = e21)
% 245.02/48.98    (19)   ~ (e22 = e21)
% 245.02/48.98    (20)  op2(e23, e22) = e20
% 245.02/48.98    (21)  all_24_1 = e22
% 245.02/48.98    (22)   ~ (all_4_2 = e24)
% 245.02/48.98    (23)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.02/48.98            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.02/48.98            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.02/48.98    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/48.98            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/48.98    (25)   ~ (all_16_8 = e23)
% 245.02/48.98    (26)  op2(e22, e23) = all_16_7
% 245.02/48.98    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.98            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.98            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.98    (28)   ~ (e21 = e20)
% 245.02/48.98    (29)   ~ (e24 = e22)
% 245.02/48.98    (30)  all_24_17 = e23
% 245.02/48.98    (31)   ~ (e24 = e23)
% 245.02/48.98    (32)  op2(e23, e21) = all_10_1
% 245.02/48.98    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/48.98            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/48.98    (34)  op2(e22, e22) = all_4_2
% 245.02/48.98    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.98            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (36)  all_24_5 = e20
% 245.02/48.98    (37)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/48.98            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/48.98            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/48.98    (38)  all_24_22 = e22
% 245.02/48.98    (39)  all_24_3 = e21
% 245.02/48.98    (40)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | BETA: splitting (23) gives:
% 245.02/48.98  | 
% 245.02/48.98  | Case 1:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (41)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 245.02/48.98  | |             e22) = e24)
% 245.02/48.98  | | 
% 245.02/48.98  | | REF_CLOSE: (1), (11), (17), (31), (36), (41) are inconsistent by sub-proof
% 245.02/48.98  | |            #623.
% 245.02/48.98  | | 
% 245.02/48.98  | Case 2:
% 245.02/48.98  | | 
% 245.02/48.98  | |   (42)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 245.02/48.98  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.02/48.98  | | 
% 245.02/48.98  | | BETA: splitting (42) gives:
% 245.02/48.98  | | 
% 245.02/48.98  | | Case 1:
% 245.02/48.98  | | | 
% 245.02/48.98  | | |   (43)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.02/48.98  | | | 
% 245.02/48.98  | | | REF_CLOSE: (11), (22), (34), (43) are inconsistent by sub-proof #705.
% 245.02/48.98  | | | 
% 245.02/48.98  | | Case 2:
% 245.02/48.98  | | | 
% 245.02/48.98  | | |   (44)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 245.02/48.98  | | |           op2(e20, e22) = e24)
% 245.02/48.98  | | | 
% 245.02/48.98  | | | BETA: splitting (44) gives:
% 245.02/48.98  | | | 
% 245.02/48.98  | | | Case 1:
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | |   (45)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.02/48.98  | | | |            (12), (13), (14), (15), (16), (18), (19), (20), (21), (24),
% 245.02/48.98  | | | |            (25), (26), (28), (29), (30), (31), (32), (33), (35), (37),
% 245.02/48.98  | | | |            (39), (40), (45) are inconsistent by sub-proof #622.
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | Case 2:
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | |   (46)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (13),
% 245.02/48.98  | | | |            (14), (16), (18), (19), (20), (21), (24), (27), (28), (29),
% 245.02/48.98  | | | |            (30), (31), (32), (35), (37), (38), (39), (40), (46) are
% 245.02/48.98  | | | |            inconsistent by sub-proof #621.
% 245.02/48.98  | | | | 
% 245.02/48.98  | | | End of split
% 245.02/48.98  | | | 
% 245.02/48.98  | | End of split
% 245.02/48.98  | | 
% 245.02/48.98  | End of split
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #621 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e24 = e20)
% 245.02/48.98    (2)   ~ (e23 = e21)
% 245.02/48.98    (3)  op2(e23, e21) = e24
% 245.02/48.98    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.98           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.98           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.98    (5)  op2(e23, e23) = e21
% 245.02/48.98    (6)  all_24_2 = e22
% 245.02/48.98    (7)   ~ (e23 = e22)
% 245.02/48.98    (8)   ~ (e22 = e20)
% 245.02/48.98    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (10)  all_24_7 = e24
% 245.02/48.98    (11)  all_24_21 = e23
% 245.02/48.98    (12)   ~ (e23 = e20)
% 245.02/48.98    (13)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/48.98    (14)  op2(e24, e23) = e22
% 245.02/48.98    (15)   ~ (e24 = e21)
% 245.02/48.98    (16)   ~ (e22 = e21)
% 245.02/48.98    (17)  op2(e23, e22) = e20
% 245.02/48.98    (18)  all_24_1 = e22
% 245.02/48.98    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/48.98            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/48.98    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.98            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.98            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.98    (21)   ~ (e21 = e20)
% 245.02/48.98    (22)   ~ (e24 = e22)
% 245.02/48.98    (23)  all_24_17 = e23
% 245.02/48.98    (24)   ~ (e24 = e23)
% 245.02/48.98    (25)  op2(e23, e21) = all_10_1
% 245.02/48.98    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.98            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/48.98            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/48.98            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/48.98    (28)  all_24_22 = e22
% 245.02/48.98    (29)  all_24_3 = e21
% 245.02/48.98    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (13) implies:
% 245.02/48.98  |   (31)  all_24_22 = e24
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (28), (31) imply:
% 245.02/48.98  |   (32)  e24 = e22
% 245.02/48.98  | 
% 245.02/48.98  | SIMP: (32) implies:
% 245.02/48.98  |   (33)  e24 = e22
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (10), (33) imply:
% 245.02/48.98  |   (34)  all_24_7 = e22
% 245.02/48.98  | 
% 245.02/48.98  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14),
% 245.02/48.98  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.02/48.98  |            (26), (27), (29), (30), (34) are inconsistent by sub-proof #812.
% 245.02/48.98  | 
% 245.02/48.98  End of proof
% 245.02/48.98  
% 245.02/48.98  Sub-proof #622 shows that the following formulas are inconsistent:
% 245.02/48.98  ----------------------------------------------------------------
% 245.02/48.98    (1)   ~ (e24 = e20)
% 245.02/48.98    (2)   ~ (e23 = e21)
% 245.02/48.98    (3)  op2(e23, e21) = e24
% 245.02/48.98    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.98           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.98           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.98    (5)  op2(e23, e23) = e21
% 245.02/48.98    (6)  all_24_14 = e21
% 245.02/48.98    (7)  all_24_2 = e22
% 245.02/48.98    (8)   ~ (e23 = e22)
% 245.02/48.98    (9)   ~ (e22 = e20)
% 245.02/48.98    (10)  op2(e21, e23) = all_16_8
% 245.02/48.98    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.98            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.98    (12)  all_24_7 = e24
% 245.02/48.98    (13)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.02/48.98    (14)  all_24_21 = e23
% 245.02/48.98    (15)   ~ (e23 = e20)
% 245.02/48.98    (16)   ~ (all_16_7 = e23)
% 245.02/48.98    (17)  op2(e24, e23) = e22
% 245.02/48.98    (18)   ~ (e24 = e21)
% 245.02/48.98    (19)   ~ (e22 = e21)
% 245.02/48.98    (20)  op2(e23, e22) = e20
% 245.02/48.98    (21)  all_24_1 = e22
% 245.02/48.98    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/48.98            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/48.98    (23)   ~ (all_16_8 = e23)
% 245.02/48.98    (24)  op2(e22, e23) = all_16_7
% 245.02/48.98    (25)   ~ (e21 = e20)
% 245.02/48.98    (26)   ~ (e24 = e22)
% 245.02/48.98    (27)  all_24_17 = e23
% 245.02/48.98    (28)   ~ (e24 = e23)
% 245.02/48.98    (29)  op2(e23, e21) = all_10_1
% 245.02/48.98    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/48.98            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/48.98    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.98            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.98            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.98    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/48.98            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/48.98            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/48.98    (33)  all_24_3 = e21
% 245.02/48.98    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.98            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.98            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.98  
% 245.02/48.98  Begin of proof
% 245.02/48.98  | 
% 245.02/48.98  | ALPHA: (13) implies:
% 245.02/48.98  |   (35)  all_24_14 = e24
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (6), (35) imply:
% 245.02/48.98  |   (36)  e24 = e21
% 245.02/48.98  | 
% 245.02/48.98  | COMBINE_EQS: (12), (36) imply:
% 245.02/48.99  |   (37)  all_24_7 = e21
% 245.02/48.99  | 
% 245.02/48.99  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (14), (15),
% 245.02/48.99  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 245.02/48.99  |            (27), (28), (29), (30), (31), (32), (33), (34), (37) are
% 245.02/48.99  |            inconsistent by sub-proof #744.
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #623 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)   ~ (e24 = e20)
% 245.02/48.99    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (3)  op2(e24, e22) = e23
% 245.02/48.99    (4)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.02/48.99           = e24)
% 245.02/48.99    (5)   ~ (e24 = e23)
% 245.02/48.99    (6)  all_24_5 = e20
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (4) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (7)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.02/48.99  | | 
% 245.02/48.99  | | ALPHA: (7) implies:
% 245.02/48.99  | |   (8)  op2(e24, e22) = e24
% 245.02/48.99  | | 
% 245.02/48.99  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #660.
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (9)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.02/48.99  | | 
% 245.02/48.99  | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1301.
% 245.02/48.99  | | 
% 245.02/48.99  | End of split
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #624 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)   ~ (e23 = e21)
% 245.02/48.99    (2)  all_24_11 = e23
% 245.02/48.99    (3)  op2(e23, e21) = e24
% 245.02/48.99    (4)  op2(e23, e23) = e21
% 245.02/48.99    (5)  all_24_2 = e22
% 245.02/48.99    (6)   ~ (e23 = e22)
% 245.02/48.99    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (8)   ~ (e23 = e20)
% 245.02/48.99    (9)   ~ (e24 = e21)
% 245.02/48.99    (10)  op2(e23, e22) = e20
% 245.02/48.99    (11)   ~ (e24 = e22)
% 245.02/48.99    (12)  all_24_17 = e23
% 245.02/48.99    (13)   ~ (e24 = e23)
% 245.02/48.99    (14)  op2(e23, e21) = all_10_1
% 245.02/48.99    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (16)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.02/48.99    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | ALPHA: (16) implies:
% 245.02/48.99  |   (18)  all_24_11 = e21
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (2), (18) imply:
% 245.02/48.99  |   (19)  e23 = e21
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (12), (19) imply:
% 245.02/48.99  |   (20)  all_24_17 = e21
% 245.02/48.99  | 
% 245.02/48.99  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.02/48.99  |            (15), (17), (20) are inconsistent by sub-proof #874.
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #625 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)   ~ (e24 = e20)
% 245.02/48.99    (2)   ~ (e23 = e21)
% 245.02/48.99    (3)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.02/48.99    (4)  op2(e23, e21) = e24
% 245.02/48.99    (5)  op2(e23, e23) = e21
% 245.02/48.99    (6)  all_24_2 = e22
% 245.02/48.99    (7)   ~ (e23 = e22)
% 245.02/48.99    (8)   ~ (e22 = e20)
% 245.02/48.99    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (10)   ~ (e23 = e20)
% 245.02/48.99    (11)   ~ (e24 = e21)
% 245.02/48.99    (12)   ~ (e22 = e21)
% 245.02/48.99    (13)  all_24_8 = e22
% 245.02/48.99    (14)  op2(e23, e22) = e20
% 245.02/48.99    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.99            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.99            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.99    (16)   ~ (e24 = e22)
% 245.02/48.99    (17)   ~ (e24 = e23)
% 245.02/48.99    (18)  op2(e23, e21) = all_10_1
% 245.02/48.99    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (20)  all_24_5 = e20
% 245.02/48.99    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | ALPHA: (3) implies:
% 245.02/48.99  |   (22)  all_24_8 = e21
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (13), (22) imply:
% 245.02/48.99  |   (23)  e22 = e21
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (6), (23) imply:
% 245.02/48.99  |   (24)  all_24_2 = e21
% 245.02/48.99  | 
% 245.02/48.99  | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (14), (15),
% 245.02/48.99  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.02/48.99  |            sub-proof #1298.
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #626 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  all_24_16 = e24
% 245.02/48.99    (2)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 245.02/48.99             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 245.02/48.99           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 245.02/48.99    (3)  all_24_19 = e20
% 245.02/48.99    (4)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 245.02/48.99             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 245.02/48.99           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 245.02/48.99    (5)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 245.02/48.99             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 245.02/48.99           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 245.02/48.99    (6)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 245.02/48.99             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 245.02/48.99           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/48.99    (7)   ~ (e24 = e20)
% 245.02/48.99    (8)   ~ (e23 = e21)
% 245.02/48.99    (9)  op2(e23, e21) = e24
% 245.02/48.99    (10)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.99            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.99            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.99    (11)  op2(e23, e23) = e21
% 245.02/48.99    (12)  all_24_2 = e22
% 245.02/48.99    (13)   ~ (e23 = e22)
% 245.02/48.99    (14)   ~ (e22 = e20)
% 245.02/48.99    (15)  op2(e21, e23) = all_16_8
% 245.02/48.99    (16)   ~ (all_6_2 = e24)
% 245.02/48.99    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (18)  all_24_13 = e20
% 245.02/48.99    (19)  op2(e23, e24) = e22
% 245.02/48.99    (20)   ~ (e23 = e20)
% 245.02/48.99    (21)   ~ (e24 = e21)
% 245.02/48.99    (22)   ~ (e22 = e21)
% 245.02/48.99    (23)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 245.02/48.99              e23) = e24) | (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 =
% 245.02/48.99            e24 & op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 245.02/48.99    (24)  op2(e23, e22) = e20
% 245.02/48.99    (25)   ~ (all_16_20 = e22)
% 245.02/48.99    (26)  all_24_12 = e23
% 245.02/48.99    (27)  op2(e24, e20) = all_16_20
% 245.02/48.99    (28)  op2(e21, e21) = all_6_2
% 245.02/48.99    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.99            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.99            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.99    (30)   ~ (e21 = e20)
% 245.02/48.99    (31)   ~ (e24 = e22)
% 245.02/48.99    (32)  all_24_17 = e23
% 245.02/48.99    (33)   ~ (e24 = e23)
% 245.02/48.99    (34)  op2(e23, e21) = all_10_1
% 245.02/48.99    (35)   ~ (all_16_8 = e22)
% 245.02/48.99    (36)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (37)  all_24_5 = e20
% 245.02/48.99    (38)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/48.99              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 245.02/48.99            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.02/48.99    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (23) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (40)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 &
% 245.02/48.99  | |           op2(e21, e23) = e24)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (40) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (41)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (26), (33), (41) are inconsistent by sub-proof #645.
% 245.02/48.99  | | | 
% 245.02/48.99  | | Case 2:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (42)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | ALPHA: (42) implies:
% 245.02/48.99  | | |   (43)  all_24_13 = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | COMBINE_EQS: (18), (43) imply:
% 245.02/48.99  | | |   (44)  e24 = e20
% 245.02/48.99  | | | 
% 245.02/48.99  | | | SIMP: (44) implies:
% 245.02/48.99  | | |   (45)  e24 = e20
% 245.02/48.99  | | | 
% 245.02/48.99  | | | COMBINE_EQS: (1), (45) imply:
% 245.02/48.99  | | |   (46)  all_24_16 = e20
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.02/48.99  | | |            (17), (19), (20), (21), (22), (24), (25), (27), (29), (30),
% 245.02/48.99  | | |            (31), (33), (34), (36), (37), (38), (39), (46) are inconsistent
% 245.02/48.99  | | |            by sub-proof #632.
% 245.02/48.99  | | | 
% 245.02/48.99  | | End of split
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (47)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_15 = e24 &
% 245.02/48.99  | |           op2(e21, e21) = e24) | (all_24_19 = e24 & op2(e21, e20) = e24)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (47) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (48)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | ALPHA: (48) implies:
% 245.02/48.99  | | |   (49)  all_24_14 = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.02/48.99  | | |            (15), (17), (18), (19), (20), (21), (22), (24), (26), (29),
% 245.02/48.99  | | |            (30), (31), (32), (33), (34), (35), (36), (37), (39), (49) are
% 245.02/48.99  | | |            inconsistent by sub-proof #627.
% 245.02/48.99  | | | 
% 245.02/48.99  | | Case 2:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (50)  (all_24_15 = e24 & op2(e21, e21) = e24) | (all_24_19 = e24 &
% 245.02/48.99  | | |           op2(e21, e20) = e24)
% 245.02/48.99  | | | 
% 245.02/48.99  | | | BETA: splitting (50) gives:
% 245.02/48.99  | | | 
% 245.02/48.99  | | | Case 1:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (51)  all_24_15 = e24 & op2(e21, e21) = e24
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (16), (17), (28), (51) are inconsistent by sub-proof #738.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | Case 2:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (52)  all_24_19 = e24 & op2(e21, e20) = e24
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | ALPHA: (52) implies:
% 245.02/48.99  | | | |   (53)  all_24_19 = e24
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | COMBINE_EQS: (3), (53) imply:
% 245.02/48.99  | | | |   (54)  e24 = e20
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | SIMP: (54) implies:
% 245.02/48.99  | | | |   (55)  e24 = e20
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | COMBINE_EQS: (1), (55) imply:
% 245.02/48.99  | | | |   (56)  all_24_16 = e20
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.02/48.99  | | | |            (17), (19), (20), (21), (22), (24), (25), (27), (29), (30),
% 245.02/48.99  | | | |            (31), (33), (34), (36), (37), (38), (39), (56) are
% 245.02/48.99  | | | |            inconsistent by sub-proof #632.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | End of split
% 245.02/48.99  | | | 
% 245.02/48.99  | | End of split
% 245.02/48.99  | | 
% 245.02/48.99  | End of split
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #627 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  all_24_19 = e20
% 245.02/48.99    (2)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 245.02/48.99             e23) = e22) | (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 =
% 245.02/48.99           e22 & op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 245.02/48.99    (3)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 245.02/48.99             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 245.02/48.99           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 245.02/48.99    (4)   ~ (e24 = e20)
% 245.02/48.99    (5)   ~ (e23 = e21)
% 245.02/48.99    (6)  op2(e23, e21) = e24
% 245.02/48.99    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.99           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.99           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.99    (8)  op2(e23, e23) = e21
% 245.02/48.99    (9)  all_24_2 = e22
% 245.02/48.99    (10)   ~ (e23 = e22)
% 245.02/48.99    (11)   ~ (e22 = e20)
% 245.02/48.99    (12)  op2(e21, e23) = all_16_8
% 245.02/48.99    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (14)  all_24_13 = e20
% 245.02/48.99    (15)  op2(e23, e24) = e22
% 245.02/48.99    (16)   ~ (e23 = e20)
% 245.02/48.99    (17)   ~ (e24 = e21)
% 245.02/48.99    (18)   ~ (e22 = e21)
% 245.02/48.99    (19)  op2(e23, e22) = e20
% 245.02/48.99    (20)  all_24_12 = e23
% 245.02/48.99    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.99            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.99            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.99    (22)  all_24_14 = e24
% 245.02/48.99    (23)   ~ (e21 = e20)
% 245.02/48.99    (24)   ~ (e24 = e22)
% 245.02/48.99    (25)  all_24_17 = e23
% 245.02/48.99    (26)   ~ (e24 = e23)
% 245.02/48.99    (27)  op2(e23, e21) = all_10_1
% 245.02/48.99    (28)   ~ (all_16_8 = e22)
% 245.02/48.99    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (30)  all_24_5 = e20
% 245.02/48.99    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (2) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (32)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 &
% 245.02/48.99  | |           op2(e21, e23) = e22)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (32) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (33)  all_24_12 = e22 & op2(e21, e24) = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | ALPHA: (33) implies:
% 245.02/48.99  | | |   (34)  all_24_12 = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | COMBINE_EQS: (20), (34) imply:
% 245.02/48.99  | | |   (35)  e23 = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | COMBINE_EQS: (25), (35) imply:
% 245.02/48.99  | | |   (36)  all_24_17 = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (5), (6), (8), (10), (13), (15), (16), (19), (26), (27), (31),
% 245.02/48.99  | | |            (36) are inconsistent by sub-proof #795.
% 245.02/48.99  | | | 
% 245.02/48.99  | | Case 2:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (37)  all_24_13 = e22 & op2(e21, e23) = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (12), (13), (28), (37) are inconsistent by sub-proof #700.
% 245.02/48.99  | | | 
% 245.02/48.99  | | End of split
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (38)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_15 = e22 &
% 245.02/48.99  | |           op2(e21, e21) = e22) | (all_24_19 = e22 & op2(e21, e20) = e22)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (38) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (39)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (22), (24), (39) are inconsistent by sub-proof #631.
% 245.02/48.99  | | | 
% 245.02/48.99  | | Case 2:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (40)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_19 = e22 &
% 245.02/48.99  | | |           op2(e21, e20) = e22)
% 245.02/48.99  | | | 
% 245.02/48.99  | | | BETA: splitting (40) gives:
% 245.02/48.99  | | | 
% 245.02/48.99  | | | Case 1:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (41)  all_24_15 = e22 & op2(e21, e21) = e22
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | ALPHA: (41) implies:
% 245.02/48.99  | | | |   (42)  all_24_15 = e22
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14),
% 245.02/48.99  | | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.02/48.99  | | | |            (26), (27), (29), (30), (31), (42) are inconsistent by
% 245.02/48.99  | | | |            sub-proof #628.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | Case 2:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (43)  all_24_19 = e22 & op2(e21, e20) = e22
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (13), (16),
% 245.02/48.99  | | | |            (17), (18), (19), (21), (23), (24), (26), (27), (29), (31),
% 245.02/48.99  | | | |            (43) are inconsistent by sub-proof #643.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | End of split
% 245.02/48.99  | | | 
% 245.02/48.99  | | End of split
% 245.02/48.99  | | 
% 245.02/48.99  | End of split
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #628 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  all_24_19 = e20
% 245.02/48.99    (2)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 245.02/48.99             e23) = e21) | (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 =
% 245.02/48.99           e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 245.02/48.99    (3)   ~ (e24 = e20)
% 245.02/48.99    (4)   ~ (e23 = e21)
% 245.02/48.99    (5)  op2(e23, e21) = e24
% 245.02/48.99    (6)  op2(e23, e23) = e21
% 245.02/48.99    (7)  all_24_2 = e22
% 245.02/48.99    (8)   ~ (e23 = e22)
% 245.02/48.99    (9)   ~ (e22 = e20)
% 245.02/48.99    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (11)  all_24_13 = e20
% 245.02/48.99    (12)   ~ (e23 = e20)
% 245.02/48.99    (13)   ~ (e24 = e21)
% 245.02/48.99    (14)   ~ (e22 = e21)
% 245.02/48.99    (15)  op2(e23, e22) = e20
% 245.02/48.99    (16)  all_24_12 = e23
% 245.02/48.99    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.99            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.99            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.99    (18)  all_24_14 = e24
% 245.02/48.99    (19)   ~ (e21 = e20)
% 245.02/48.99    (20)   ~ (e24 = e22)
% 245.02/48.99    (21)  all_24_17 = e23
% 245.02/48.99    (22)   ~ (e24 = e23)
% 245.02/48.99    (23)  op2(e23, e21) = all_10_1
% 245.02/48.99    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (25)  all_24_5 = e20
% 245.02/48.99    (26)  all_24_15 = e22
% 245.02/48.99    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (2) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (28)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 &
% 245.02/48.99  | |           op2(e21, e23) = e21)
% 245.02/48.99  | | 
% 245.02/48.99  | | REF_CLOSE: (4), (5), (6), (7), (8), (10), (11), (12), (13), (15), (16),
% 245.02/48.99  | |            (19), (20), (21), (22), (23), (24), (27), (28) are inconsistent
% 245.02/48.99  | |            by sub-proof #630.
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (29)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_15 = e21 &
% 245.02/48.99  | |           op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21, e20) = e21)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (29) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (30)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.02/48.99  | | | 
% 245.02/48.99  | | | ALPHA: (30) implies:
% 245.02/48.99  | | |   (31)  all_24_14 = e21
% 245.02/48.99  | | | 
% 245.02/48.99  | | | REF_CLOSE: (13), (18), (31) are inconsistent by sub-proof #629.
% 245.02/48.99  | | | 
% 245.02/48.99  | | Case 2:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (32)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 &
% 245.02/48.99  | | |           op2(e21, e20) = e21)
% 245.02/48.99  | | | 
% 245.02/48.99  | | | BETA: splitting (32) gives:
% 245.02/48.99  | | | 
% 245.02/48.99  | | | Case 1:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (33)  all_24_15 = e21 & op2(e21, e21) = e21
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | ALPHA: (33) implies:
% 245.02/48.99  | | | |   (34)  all_24_15 = e21
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.02/48.99  | | | |            (15), (17), (20), (22), (23), (24), (25), (26), (27), (34)
% 245.02/48.99  | | | |            are inconsistent by sub-proof #654.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | Case 2:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (35)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (1), (19), (35) are inconsistent by sub-proof #640.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | End of split
% 245.02/48.99  | | | 
% 245.02/48.99  | | End of split
% 245.02/48.99  | | 
% 245.02/48.99  | End of split
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #629 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  all_24_14 = e24
% 245.02/48.99    (2)  all_24_14 = e21
% 245.02/48.99    (3)   ~ (e24 = e21)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (1), (2) imply:
% 245.02/48.99  |   (4)  e24 = e21
% 245.02/48.99  | 
% 245.02/48.99  | SIMP: (4) implies:
% 245.02/48.99  |   (5)  e24 = e21
% 245.02/48.99  | 
% 245.02/48.99  | REDUCE: (3), (5) imply:
% 245.02/48.99  |   (6)  $false
% 245.02/48.99  | 
% 245.02/48.99  | CLOSE: (6) is inconsistent.
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #630 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)   ~ (e23 = e21)
% 245.02/48.99    (2)  op2(e23, e21) = e24
% 245.02/48.99    (3)  op2(e23, e23) = e21
% 245.02/48.99    (4)  all_24_2 = e22
% 245.02/48.99    (5)   ~ (e23 = e22)
% 245.02/48.99    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (7)  all_24_13 = e20
% 245.02/48.99    (8)   ~ (e23 = e20)
% 245.02/48.99    (9)   ~ (e24 = e21)
% 245.02/48.99    (10)  op2(e23, e22) = e20
% 245.02/48.99    (11)  all_24_12 = e23
% 245.02/48.99    (12)   ~ (e21 = e20)
% 245.02/48.99    (13)   ~ (e24 = e22)
% 245.02/48.99    (14)  all_24_17 = e23
% 245.02/48.99    (15)   ~ (e24 = e23)
% 245.02/48.99    (16)  op2(e23, e21) = all_10_1
% 245.02/48.99    (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (18)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_13 = e21 & op2(e21,
% 245.02/48.99              e23) = e21)
% 245.02/48.99    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (18) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (20)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.02/48.99  | | 
% 245.02/48.99  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14),
% 245.02/48.99  | |            (15), (16), (17), (19), (20) are inconsistent by sub-proof #873.
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (21)  all_24_13 = e21 & op2(e21, e23) = e21
% 245.02/48.99  | | 
% 245.02/48.99  | | ALPHA: (21) implies:
% 245.02/48.99  | |   (22)  all_24_13 = e21
% 245.02/48.99  | | 
% 245.02/48.99  | | COMBINE_EQS: (7), (22) imply:
% 245.02/48.99  | |   (23)  e21 = e20
% 245.02/48.99  | | 
% 245.02/48.99  | | REDUCE: (12), (23) imply:
% 245.02/48.99  | |   (24)  $false
% 245.02/48.99  | | 
% 245.02/48.99  | | CLOSE: (24) is inconsistent.
% 245.02/48.99  | | 
% 245.02/48.99  | End of split
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #631 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.02/48.99    (2)  all_24_14 = e24
% 245.02/48.99    (3)   ~ (e24 = e22)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | ALPHA: (1) implies:
% 245.02/48.99  |   (4)  all_24_14 = e22
% 245.02/48.99  | 
% 245.02/48.99  | COMBINE_EQS: (2), (4) imply:
% 245.02/48.99  |   (5)  e24 = e22
% 245.02/48.99  | 
% 245.02/48.99  | REDUCE: (3), (5) imply:
% 245.02/48.99  |   (6)  $false
% 245.02/48.99  | 
% 245.02/48.99  | CLOSE: (6) is inconsistent.
% 245.02/48.99  | 
% 245.02/48.99  End of proof
% 245.02/48.99  
% 245.02/48.99  Sub-proof #632 shows that the following formulas are inconsistent:
% 245.02/48.99  ----------------------------------------------------------------
% 245.02/48.99    (1)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 245.02/48.99             e20) = e22) | (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 =
% 245.02/48.99           e22 & op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 245.02/48.99    (2)  all_24_19 = e20
% 245.02/48.99    (3)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 245.02/48.99             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 245.02/48.99           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/48.99    (4)   ~ (e24 = e20)
% 245.02/48.99    (5)   ~ (e23 = e21)
% 245.02/48.99    (6)  op2(e23, e21) = e24
% 245.02/48.99    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/48.99           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/48.99           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/48.99    (8)  op2(e23, e23) = e21
% 245.02/48.99    (9)  all_24_2 = e22
% 245.02/48.99    (10)   ~ (e23 = e22)
% 245.02/48.99    (11)   ~ (e22 = e20)
% 245.02/48.99    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/48.99            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/48.99    (13)  op2(e23, e24) = e22
% 245.02/48.99    (14)   ~ (e23 = e20)
% 245.02/48.99    (15)   ~ (e24 = e21)
% 245.02/48.99    (16)   ~ (e22 = e21)
% 245.02/48.99    (17)  op2(e23, e22) = e20
% 245.02/48.99    (18)   ~ (all_16_20 = e22)
% 245.02/48.99    (19)  op2(e24, e20) = all_16_20
% 245.02/48.99    (20)  all_24_16 = e20
% 245.02/48.99    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/48.99            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/48.99            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/48.99    (22)   ~ (e21 = e20)
% 245.02/48.99    (23)   ~ (e24 = e22)
% 245.02/48.99    (24)   ~ (e24 = e23)
% 245.02/48.99    (25)  op2(e23, e21) = all_10_1
% 245.02/48.99    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/48.99            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/48.99            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/48.99    (27)  all_24_5 = e20
% 245.02/48.99    (28)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/48.99              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 245.02/48.99            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.02/48.99    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/48.99            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/48.99            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/48.99  
% 245.02/48.99  Begin of proof
% 245.02/48.99  | 
% 245.02/48.99  | BETA: splitting (3) gives:
% 245.02/48.99  | 
% 245.02/48.99  | Case 1:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (30)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 &
% 245.02/48.99  | |           op2(e23, e20) = e24)
% 245.02/48.99  | | 
% 245.02/48.99  | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (12), (14), (17), (20), (24),
% 245.02/48.99  | |            (25), (29), (30) are inconsistent by sub-proof #644.
% 245.02/48.99  | | 
% 245.02/48.99  | Case 2:
% 245.02/48.99  | | 
% 245.02/48.99  | |   (31)  (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 = e24 &
% 245.02/48.99  | |           op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/48.99  | | 
% 245.02/48.99  | | BETA: splitting (31) gives:
% 245.02/48.99  | | 
% 245.02/48.99  | | Case 1:
% 245.02/48.99  | | | 
% 245.02/48.99  | | |   (32)  all_24_18 = e24 & op2(e22, e20) = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | ALPHA: (32) implies:
% 245.02/48.99  | | |   (33)  all_24_18 = e24
% 245.02/48.99  | | | 
% 245.02/48.99  | | | BETA: splitting (1) gives:
% 245.02/48.99  | | | 
% 245.02/48.99  | | | Case 1:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (34)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 245.02/48.99  | | | |           op2(e23, e20) = e22)
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | REF_CLOSE: (5), (6), (8), (10), (12), (13), (14), (17), (18), (19),
% 245.02/48.99  | | | |            (24), (25), (29), (34) are inconsistent by sub-proof #648.
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | Case 2:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | |   (35)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 245.02/48.99  | | | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | BETA: splitting (35) gives:
% 245.02/48.99  | | | | 
% 245.02/48.99  | | | | Case 1:
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | |   (36)  all_24_18 = e22 & op2(e22, e20) = e22
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | | ALPHA: (36) implies:
% 245.02/48.99  | | | | |   (37)  all_24_18 = e22
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | | REF_CLOSE: (23), (33), (37) are inconsistent by sub-proof #728.
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | Case 2:
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | |   (38)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 245.02/48.99  | | | | |           op2(e20, e20) = e22)
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | | BETA: splitting (38) gives:
% 245.02/48.99  | | | | | 
% 245.02/48.99  | | | | | Case 1:
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | |   (39)  all_24_19 = e22 & op2(e21, e20) = e22
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.02/48.99  | | | | | |            (14), (15), (16), (17), (21), (22), (23), (24), (25),
% 245.02/48.99  | | | | | |            (26), (29), (39) are inconsistent by sub-proof #643.
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | Case 2:
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | |   (40)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | | ALPHA: (40) implies:
% 245.02/48.99  | | | | | |   (41)  all_24_24 = e22
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | | BETA: splitting (28) gives:
% 245.02/48.99  | | | | | | 
% 245.02/48.99  | | | | | | Case 1:
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | |   (42)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21
% 245.02/48.99  | | | | | | |           & op2(e23, e20) = e21)
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | | REF_CLOSE: (5), (6), (8), (9), (10), (12), (14), (15), (17), (20),
% 245.02/48.99  | | | | | | |            (22), (23), (24), (25), (26), (29), (42) are
% 245.02/48.99  | | | | | | |            inconsistent by sub-proof #641.
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | Case 2:
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | |   (43)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21
% 245.02/48.99  | | | | | | |           & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20,
% 245.02/48.99  | | | | | | |             e20) = e21)
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | | BETA: splitting (43) gives:
% 245.02/48.99  | | | | | | | 
% 245.02/48.99  | | | | | | | Case 1:
% 245.02/48.99  | | | | | | | | 
% 245.02/48.99  | | | | | | | |   (44)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.02/48.99  | | | | | | | | 
% 245.02/49.00  | | | | | | | | ALPHA: (44) implies:
% 245.02/49.00  | | | | | | | |   (45)  all_24_18 = e21
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | | REF_CLOSE: (15), (33), (45) are inconsistent by sub-proof #791.
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | Case 2:
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | |   (46)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 =
% 245.02/49.00  | | | | | | | |           e21 & op2(e20, e20) = e21)
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | | BETA: splitting (46) gives:
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | | Case 1:
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | |   (47)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | | REF_CLOSE: (2), (22), (47) are inconsistent by sub-proof #640.
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | Case 2:
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | |   (48)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 245.02/49.00  | | | | | | | | |            (15), (16), (17), (21), (23), (24), (25), (26),
% 245.02/49.00  | | | | | | | | |            (27), (29), (41), (48) are inconsistent by
% 245.02/49.00  | | | | | | | | |            sub-proof #639.
% 245.02/49.00  | | | | | | | | | 
% 245.02/49.00  | | | | | | | | End of split
% 245.02/49.00  | | | | | | | | 
% 245.02/49.00  | | | | | | | End of split
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | End of split
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | End of split
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | End of split
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | End of split
% 245.02/49.00  | | | 
% 245.02/49.00  | | Case 2:
% 245.02/49.00  | | | 
% 245.02/49.00  | | |   (49)  (all_24_19 = e24 & op2(e21, e20) = e24) | (all_24_24 = e24 &
% 245.02/49.00  | | |           op2(e20, e20) = e24)
% 245.02/49.00  | | | 
% 245.02/49.00  | | | BETA: splitting (49) gives:
% 245.02/49.00  | | | 
% 245.02/49.00  | | | Case 1:
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | |   (50)  all_24_19 = e24 & op2(e21, e20) = e24
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | REF_CLOSE: (2), (4), (50) are inconsistent by sub-proof #638.
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | Case 2:
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | |   (51)  all_24_24 = e24 & op2(e20, e20) = e24
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | ALPHA: (51) implies:
% 245.02/49.00  | | | |   (52)  all_24_24 = e24
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | BETA: splitting (1) gives:
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | Case 1:
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | |   (53)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 &
% 245.02/49.00  | | | | |           op2(e23, e20) = e22)
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | | REF_CLOSE: (5), (6), (8), (10), (12), (13), (14), (17), (18), (19),
% 245.02/49.00  | | | | |            (24), (25), (29), (53) are inconsistent by sub-proof #648.
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | Case 2:
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | |   (54)  (all_24_18 = e22 & op2(e22, e20) = e22) | (all_24_19 = e22 &
% 245.02/49.00  | | | | |           op2(e21, e20) = e22) | (all_24_24 = e22 & op2(e20, e20) =
% 245.02/49.00  | | | | |           e22)
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | | BETA: splitting (54) gives:
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | | Case 1:
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | |   (55)  all_24_18 = e22 & op2(e22, e20) = e22
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | | ALPHA: (55) implies:
% 245.02/49.00  | | | | | |   (56)  all_24_18 = e22
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 245.02/49.00  | | | | | |            (15), (16), (17), (20), (21), (22), (23), (24), (25),
% 245.02/49.00  | | | | | |            (26), (27), (28), (29), (52), (56) are inconsistent by
% 245.02/49.00  | | | | | |            sub-proof #635.
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | Case 2:
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | |   (57)  (all_24_19 = e22 & op2(e21, e20) = e22) | (all_24_24 = e22 &
% 245.02/49.00  | | | | | |           op2(e20, e20) = e22)
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | | BETA: splitting (57) gives:
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | | Case 1:
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | |   (58)  all_24_19 = e22 & op2(e21, e20) = e22
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | | ALPHA: (58) implies:
% 245.02/49.00  | | | | | | |   (59)  all_24_19 = e22
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.02/49.00  | | | | | | |            (14), (15), (16), (17), (21), (22), (23), (24), (25),
% 245.02/49.00  | | | | | | |            (26), (29), (59) are inconsistent by sub-proof #634.
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | Case 2:
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | |   (60)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | | ALPHA: (60) implies:
% 245.02/49.00  | | | | | | |   (61)  all_24_24 = e22
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | | REF_CLOSE: (23), (52), (61) are inconsistent by sub-proof #633.
% 245.02/49.00  | | | | | | | 
% 245.02/49.00  | | | | | | End of split
% 245.02/49.00  | | | | | | 
% 245.02/49.00  | | | | | End of split
% 245.02/49.00  | | | | | 
% 245.02/49.00  | | | | End of split
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | End of split
% 245.02/49.00  | | | 
% 245.02/49.00  | | End of split
% 245.02/49.00  | | 
% 245.02/49.00  | End of split
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #633 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_24 = e24
% 245.02/49.00    (2)  all_24_24 = e22
% 245.02/49.00    (3)   ~ (e24 = e22)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (1), (2) imply:
% 245.02/49.00  |   (4)  e24 = e22
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (4) implies:
% 245.02/49.00  |   (5)  e24 = e22
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (5) imply:
% 245.02/49.00  |   (6)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (6) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #634 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_19 = e20
% 245.02/49.00    (2)   ~ (e24 = e20)
% 245.02/49.00    (3)   ~ (e23 = e21)
% 245.02/49.00    (4)  op2(e23, e21) = e24
% 245.02/49.00    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.00           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.00           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.00    (6)  op2(e23, e23) = e21
% 245.02/49.00    (7)  all_24_2 = e22
% 245.02/49.00    (8)  all_24_19 = e22
% 245.02/49.00    (9)   ~ (e23 = e22)
% 245.02/49.00    (10)   ~ (e22 = e20)
% 245.02/49.00    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (12)   ~ (e23 = e20)
% 245.02/49.00    (13)   ~ (e24 = e21)
% 245.02/49.00    (14)   ~ (e22 = e21)
% 245.02/49.00    (15)  op2(e23, e22) = e20
% 245.02/49.00    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (17)   ~ (e21 = e20)
% 245.02/49.00    (18)   ~ (e24 = e22)
% 245.02/49.00    (19)   ~ (e24 = e23)
% 245.02/49.00    (20)  op2(e23, e21) = all_10_1
% 245.02/49.00    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (1), (8) imply:
% 245.02/49.00  |   (23)  e22 = e20
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (23) implies:
% 245.02/49.00  |   (24)  e22 = e20
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (7), (24) imply:
% 245.02/49.00  |   (25)  all_24_2 = e20
% 245.02/49.00  | 
% 245.02/49.00  | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (11), (12), (13), (14), (15),
% 245.02/49.00  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.02/49.00  |            sub-proof #1307.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #635 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_19 = e20
% 245.02/49.00    (2)   ~ (e24 = e20)
% 245.02/49.00    (3)   ~ (e23 = e21)
% 245.02/49.00    (4)  op2(e23, e21) = e24
% 245.02/49.00    (5)  op2(e23, e23) = e21
% 245.02/49.00    (6)  all_24_2 = e22
% 245.02/49.00    (7)   ~ (e23 = e22)
% 245.02/49.00    (8)   ~ (e22 = e20)
% 245.02/49.00    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (10)   ~ (e23 = e20)
% 245.02/49.00    (11)   ~ (e24 = e21)
% 245.02/49.00    (12)   ~ (e22 = e21)
% 245.02/49.00    (13)  op2(e23, e22) = e20
% 245.02/49.00    (14)  all_24_16 = e20
% 245.02/49.00    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (16)   ~ (e21 = e20)
% 245.02/49.00    (17)   ~ (e24 = e22)
% 245.02/49.00    (18)   ~ (e24 = e23)
% 245.02/49.00    (19)  all_24_18 = e22
% 245.02/49.00    (20)  op2(e23, e21) = all_10_1
% 245.02/49.00    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (22)  all_24_24 = e24
% 245.02/49.00    (23)  all_24_5 = e20
% 245.02/49.00    (24)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/49.00              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 245.02/49.00            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.02/49.00    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | BETA: splitting (24) gives:
% 245.02/49.00  | 
% 245.02/49.00  | Case 1:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (26)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 245.02/49.00  | |           op2(e23, e20) = e21)
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (13), (14), (16), (17),
% 245.02/49.00  | |            (18), (20), (21), (25), (26) are inconsistent by sub-proof #641.
% 245.02/49.00  | | 
% 245.02/49.00  | Case 2:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (27)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 245.02/49.00  | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.02/49.00  | | 
% 245.02/49.00  | | BETA: splitting (27) gives:
% 245.02/49.00  | | 
% 245.02/49.00  | | Case 1:
% 245.02/49.00  | | | 
% 245.02/49.00  | | |   (28)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.02/49.00  | | | 
% 245.02/49.00  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.02/49.00  | | |            (15), (17), (18), (19), (20), (21), (23), (25), (28) are
% 245.02/49.00  | | |            inconsistent by sub-proof #637.
% 245.02/49.00  | | | 
% 245.02/49.00  | | Case 2:
% 245.02/49.00  | | | 
% 245.02/49.00  | | |   (29)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 245.02/49.00  | | |           op2(e20, e20) = e21)
% 245.02/49.00  | | | 
% 245.02/49.00  | | | BETA: splitting (29) gives:
% 245.02/49.00  | | | 
% 245.02/49.00  | | | Case 1:
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | |   (30)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | REF_CLOSE: (1), (16), (30) are inconsistent by sub-proof #640.
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | Case 2:
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | |   (31)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | ALPHA: (31) implies:
% 245.02/49.00  | | | |   (32)  all_24_24 = e21
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | | REF_CLOSE: (11), (22), (32) are inconsistent by sub-proof #636.
% 245.02/49.00  | | | | 
% 245.02/49.00  | | | End of split
% 245.02/49.00  | | | 
% 245.02/49.00  | | End of split
% 245.02/49.00  | | 
% 245.02/49.00  | End of split
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #636 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_24 = e24
% 245.02/49.00    (2)  all_24_24 = e21
% 245.02/49.00    (3)   ~ (e24 = e21)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (1), (2) imply:
% 245.02/49.00  |   (4)  e24 = e21
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (4) implies:
% 245.02/49.00  |   (5)  e24 = e21
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (5) imply:
% 245.02/49.00  |   (6)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (6) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #637 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e24 = e20)
% 245.02/49.00    (2)   ~ (e23 = e21)
% 245.02/49.00    (3)  op2(e23, e21) = e24
% 245.02/49.00    (4)  op2(e23, e23) = e21
% 245.02/49.00    (5)  all_24_2 = e22
% 245.02/49.00    (6)   ~ (e23 = e22)
% 245.02/49.00    (7)   ~ (e22 = e20)
% 245.02/49.00    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (9)   ~ (e23 = e20)
% 245.02/49.00    (10)   ~ (e24 = e21)
% 245.02/49.00    (11)   ~ (e22 = e21)
% 245.02/49.00    (12)  op2(e23, e22) = e20
% 245.02/49.00    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (14)   ~ (e24 = e22)
% 245.02/49.00    (15)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.02/49.00    (16)   ~ (e24 = e23)
% 245.02/49.00    (17)  all_24_18 = e22
% 245.02/49.00    (18)  op2(e23, e21) = all_10_1
% 245.02/49.00    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (20)  all_24_5 = e20
% 245.02/49.00    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (15) implies:
% 245.02/49.00  |   (22)  all_24_18 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (17), (22) imply:
% 245.02/49.00  |   (23)  e22 = e21
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (23) implies:
% 245.02/49.00  |   (24)  e22 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (5), (24) imply:
% 245.02/49.00  |   (25)  all_24_2 = e21
% 245.02/49.00  | 
% 245.02/49.00  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.02/49.00  |            (14), (16), (18), (19), (20), (21), (25) are inconsistent by
% 245.02/49.00  |            sub-proof #1298.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #638 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_19 = e24 & op2(e21, e20) = e24
% 245.02/49.00    (2)  all_24_19 = e20
% 245.02/49.00    (3)   ~ (e24 = e20)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (1) implies:
% 245.02/49.00  |   (4)  all_24_19 = e24
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.00  |   (5)  e24 = e20
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (5) implies:
% 245.02/49.00  |   (6)  e24 = e20
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (6) imply:
% 245.02/49.00  |   (7)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (7) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #639 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e24 = e20)
% 245.02/49.00    (2)   ~ (e23 = e21)
% 245.02/49.00    (3)  op2(e23, e21) = e24
% 245.02/49.00    (4)  op2(e23, e23) = e21
% 245.02/49.00    (5)  all_24_2 = e22
% 245.02/49.00    (6)   ~ (e23 = e22)
% 245.02/49.00    (7)   ~ (e22 = e20)
% 245.02/49.00    (8)  all_24_24 = e22
% 245.02/49.00    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (10)   ~ (e23 = e20)
% 245.02/49.00    (11)   ~ (e24 = e21)
% 245.02/49.00    (12)   ~ (e22 = e21)
% 245.02/49.00    (13)  op2(e23, e22) = e20
% 245.02/49.00    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (15)   ~ (e24 = e22)
% 245.02/49.00    (16)   ~ (e24 = e23)
% 245.02/49.00    (17)  op2(e23, e21) = all_10_1
% 245.02/49.00    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (19)  all_24_5 = e20
% 245.02/49.00    (20)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.02/49.00    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (20) implies:
% 245.02/49.00  |   (22)  all_24_24 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (8), (22) imply:
% 245.02/49.00  |   (23)  e22 = e21
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (23) implies:
% 245.02/49.00  |   (24)  e22 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (5), (24) imply:
% 245.02/49.00  |   (25)  all_24_2 = e21
% 245.02/49.00  | 
% 245.02/49.00  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14),
% 245.02/49.00  |            (15), (16), (17), (18), (19), (21), (25) are inconsistent by
% 245.02/49.00  |            sub-proof #1298.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #640 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.02/49.00    (2)  all_24_19 = e20
% 245.02/49.00    (3)   ~ (e21 = e20)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (1) implies:
% 245.02/49.00  |   (4)  all_24_19 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.00  |   (5)  e21 = e20
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (5) imply:
% 245.02/49.00  |   (6)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (6) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #641 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e23 = e21)
% 245.02/49.00    (2)  op2(e23, e21) = e24
% 245.02/49.00    (3)  op2(e23, e23) = e21
% 245.02/49.00    (4)  all_24_2 = e22
% 245.02/49.00    (5)   ~ (e23 = e22)
% 245.02/49.00    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (7)   ~ (e23 = e20)
% 245.02/49.00    (8)   ~ (e24 = e21)
% 245.02/49.00    (9)  op2(e23, e22) = e20
% 245.02/49.00    (10)  all_24_16 = e20
% 245.02/49.00    (11)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/49.00              e20) = e21)
% 245.02/49.00    (12)   ~ (e21 = e20)
% 245.02/49.00    (13)   ~ (e24 = e22)
% 245.02/49.00    (14)   ~ (e24 = e23)
% 245.02/49.00    (15)  op2(e23, e21) = all_10_1
% 245.02/49.00    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | BETA: splitting (11) gives:
% 245.02/49.00  | 
% 245.02/49.00  | Case 1:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (18)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (10), (12), (18) are inconsistent by sub-proof #642.
% 245.02/49.00  | | 
% 245.02/49.00  | Case 2:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (19)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | ALPHA: (19) implies:
% 245.02/49.00  | |   (20)  all_24_17 = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (13), (14), (15),
% 245.02/49.00  | |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.02/49.00  | | 
% 245.02/49.00  | End of split
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #642 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.00    (2)  all_24_16 = e20
% 245.02/49.00    (3)   ~ (e21 = e20)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (1) implies:
% 245.02/49.00  |   (4)  all_24_16 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.00  |   (5)  e21 = e20
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (5) imply:
% 245.02/49.00  |   (6)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (6) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #643 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_19 = e20
% 245.02/49.00    (2)   ~ (e24 = e20)
% 245.02/49.00    (3)   ~ (e23 = e21)
% 245.02/49.00    (4)  op2(e23, e21) = e24
% 245.02/49.00    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.00           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.00           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.00    (6)  op2(e23, e23) = e21
% 245.02/49.00    (7)  all_24_2 = e22
% 245.02/49.00    (8)   ~ (e23 = e22)
% 245.02/49.00    (9)   ~ (e22 = e20)
% 245.02/49.00    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (11)   ~ (e23 = e20)
% 245.02/49.00    (12)   ~ (e24 = e21)
% 245.02/49.00    (13)   ~ (e22 = e21)
% 245.02/49.00    (14)  op2(e23, e22) = e20
% 245.02/49.00    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (16)   ~ (e21 = e20)
% 245.02/49.00    (17)   ~ (e24 = e22)
% 245.02/49.00    (18)   ~ (e24 = e23)
% 245.02/49.00    (19)  op2(e23, e21) = all_10_1
% 245.02/49.00    (20)  all_24_19 = e22 & op2(e21, e20) = e22
% 245.02/49.00    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (20) implies:
% 245.02/49.00  |   (23)  all_24_19 = e22
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (1), (23) imply:
% 245.02/49.00  |   (24)  e22 = e20
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (7), (24) imply:
% 245.02/49.00  |   (25)  all_24_2 = e20
% 245.02/49.00  | 
% 245.02/49.00  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 245.02/49.00  |            (15), (16), (17), (18), (19), (21), (22), (25) are inconsistent by
% 245.02/49.00  |            sub-proof #1307.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #644 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e24 = e20)
% 245.02/49.00    (2)   ~ (e23 = e21)
% 245.02/49.00    (3)  op2(e23, e21) = e24
% 245.02/49.00    (4)  op2(e23, e23) = e21
% 245.02/49.00    (5)  all_24_2 = e22
% 245.02/49.00    (6)   ~ (e23 = e22)
% 245.02/49.00    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (8)   ~ (e23 = e20)
% 245.02/49.00    (9)  op2(e23, e22) = e20
% 245.02/49.00    (10)  all_24_16 = e20
% 245.02/49.00    (11)   ~ (e24 = e23)
% 245.02/49.00    (12)  op2(e23, e21) = all_10_1
% 245.02/49.00    (13)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 245.02/49.00              e20) = e24)
% 245.02/49.00    (14)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | BETA: splitting (13) gives:
% 245.02/49.00  | 
% 245.02/49.00  | Case 1:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (15)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.02/49.00  | | 
% 245.02/49.00  | | ALPHA: (15) implies:
% 245.02/49.00  | |   (16)  all_24_16 = e24
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (1), (10), (16) are inconsistent by sub-proof #754.
% 245.02/49.00  | | 
% 245.02/49.00  | Case 2:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (17)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.02/49.00  | | 
% 245.02/49.00  | | ALPHA: (17) implies:
% 245.02/49.00  | |   (18)  all_24_17 = e24
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14), (18)
% 245.02/49.00  | |            are inconsistent by sub-proof #733.
% 245.02/49.00  | | 
% 245.02/49.00  | End of split
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #645 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.02/49.00    (2)  all_24_12 = e23
% 245.02/49.00    (3)   ~ (e24 = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (1) implies:
% 245.02/49.00  |   (4)  all_24_12 = e24
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.00  |   (5)  e24 = e23
% 245.02/49.00  | 
% 245.02/49.00  | SIMP: (5) implies:
% 245.02/49.00  |   (6)  e24 = e23
% 245.02/49.00  | 
% 245.02/49.00  | REDUCE: (3), (6) imply:
% 245.02/49.00  |   (7)  $false
% 245.02/49.00  | 
% 245.02/49.00  | CLOSE: (7) is inconsistent.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #646 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e24 = e20)
% 245.02/49.00    (2)   ~ (e23 = e21)
% 245.02/49.00    (3)  op2(e23, e21) = e24
% 245.02/49.00    (4)  op2(e23, e23) = e21
% 245.02/49.00    (5)  all_24_2 = e22
% 245.02/49.00    (6)   ~ (e23 = e22)
% 245.02/49.00    (7)   ~ (e22 = e20)
% 245.02/49.00    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (9)   ~ (e23 = e20)
% 245.02/49.00    (10)   ~ (e24 = e21)
% 245.02/49.00    (11)   ~ (e22 = e21)
% 245.02/49.00    (12)  op2(e23, e22) = e20
% 245.02/49.00    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.00            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.00            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.00    (14)   ~ (e24 = e22)
% 245.02/49.00    (15)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.02/49.00    (16)   ~ (e24 = e23)
% 245.02/49.00    (17)  all_24_18 = e22
% 245.02/49.00    (18)  op2(e23, e21) = all_10_1
% 245.02/49.00    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (20)  all_24_5 = e20
% 245.02/49.00    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | ALPHA: (15) implies:
% 245.02/49.00  |   (22)  all_24_18 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (17), (22) imply:
% 245.02/49.00  |   (23)  e22 = e21
% 245.02/49.00  | 
% 245.02/49.00  | COMBINE_EQS: (5), (23) imply:
% 245.02/49.00  |   (24)  all_24_2 = e21
% 245.02/49.00  | 
% 245.02/49.00  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.02/49.00  |            (14), (16), (18), (19), (20), (21), (24) are inconsistent by
% 245.02/49.00  |            sub-proof #1298.
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #647 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)  all_24_16 = e24
% 245.02/49.00    (2)   ~ (e24 = e20)
% 245.02/49.00    (3)   ~ (e23 = e21)
% 245.02/49.00    (4)  op2(e23, e21) = e24
% 245.02/49.00    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.00           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.00           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.00    (6)  op2(e23, e23) = e21
% 245.02/49.00    (7)  all_24_2 = e22
% 245.02/49.00    (8)   ~ (e23 = e22)
% 245.02/49.00    (9)   ~ (e22 = e20)
% 245.02/49.00    (10)  op2(e21, e23) = all_16_8
% 245.02/49.00    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.00            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.00    (12)  all_24_7 = e24
% 245.02/49.00    (13)  all_24_21 = e23
% 245.02/49.00    (14)   ~ (e23 = e20)
% 245.02/49.00    (15)   ~ (all_16_7 = e23)
% 245.02/49.00    (16)  op2(e24, e23) = e22
% 245.02/49.00    (17)   ~ (e24 = e21)
% 245.02/49.00    (18)   ~ (e22 = e21)
% 245.02/49.00    (19)  op2(e23, e22) = e20
% 245.02/49.00    (20)  all_24_1 = e22
% 245.02/49.00    (21)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/49.00              e20) = e21)
% 245.02/49.00    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/49.00            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/49.00    (23)   ~ (all_16_8 = e23)
% 245.02/49.00    (24)  op2(e22, e23) = all_16_7
% 245.02/49.00    (25)   ~ (e21 = e20)
% 245.02/49.00    (26)   ~ (e24 = e22)
% 245.02/49.00    (27)  all_24_17 = e23
% 245.02/49.00    (28)   ~ (e24 = e23)
% 245.02/49.00    (29)  op2(e23, e21) = all_10_1
% 245.02/49.00    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.00            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.00    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.00            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.00            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.00    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/49.00            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/49.00            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/49.00    (33)  all_24_3 = e21
% 245.02/49.00    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.00            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.00            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.00  
% 245.02/49.00  Begin of proof
% 245.02/49.00  | 
% 245.02/49.00  | BETA: splitting (21) gives:
% 245.02/49.00  | 
% 245.02/49.00  | Case 1:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (35)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | ALPHA: (35) implies:
% 245.02/49.00  | |   (36)  all_24_16 = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | COMBINE_EQS: (1), (36) imply:
% 245.02/49.00  | |   (37)  e24 = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | COMBINE_EQS: (12), (37) imply:
% 245.02/49.00  | |   (38)  all_24_7 = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.02/49.00  | |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (25), (26),
% 245.02/49.00  | |            (27), (28), (29), (30), (31), (32), (33), (34), (38) are
% 245.02/49.00  | |            inconsistent by sub-proof #744.
% 245.02/49.00  | | 
% 245.02/49.00  | Case 2:
% 245.02/49.00  | | 
% 245.02/49.00  | |   (39)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | ALPHA: (39) implies:
% 245.02/49.00  | |   (40)  all_24_17 = e21
% 245.02/49.00  | | 
% 245.02/49.00  | | REF_CLOSE: (3), (4), (6), (7), (8), (11), (14), (17), (19), (26), (28),
% 245.02/49.00  | |            (29), (31), (34), (40) are inconsistent by sub-proof #874.
% 245.02/49.00  | | 
% 245.02/49.00  | End of split
% 245.02/49.00  | 
% 245.02/49.00  End of proof
% 245.02/49.00  
% 245.02/49.00  Sub-proof #648 shows that the following formulas are inconsistent:
% 245.02/49.00  ----------------------------------------------------------------
% 245.02/49.00    (1)   ~ (e23 = e21)
% 245.02/49.00    (2)  op2(e23, e21) = e24
% 245.02/49.01    (3)  op2(e23, e23) = e21
% 245.02/49.01    (4)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 245.02/49.01             e20) = e22)
% 245.02/49.01    (5)   ~ (e23 = e22)
% 245.02/49.01    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (7)  op2(e23, e24) = e22
% 245.02/49.01    (8)   ~ (e23 = e20)
% 245.02/49.01    (9)  op2(e23, e22) = e20
% 245.02/49.01    (10)   ~ (all_16_20 = e22)
% 245.02/49.01    (11)  op2(e24, e20) = all_16_20
% 245.02/49.01    (12)   ~ (e24 = e23)
% 245.02/49.01    (13)  op2(e23, e21) = all_10_1
% 245.02/49.01    (14)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | BETA: splitting (4) gives:
% 245.02/49.01  | 
% 245.02/49.01  | Case 1:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (15)  all_24_16 = e22 & op2(e24, e20) = e22
% 245.02/49.01  | | 
% 245.02/49.01  | | REF_CLOSE: (6), (10), (11), (15) are inconsistent by sub-proof #806.
% 245.02/49.01  | | 
% 245.02/49.01  | Case 2:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (16)  all_24_17 = e22 & op2(e23, e20) = e22
% 245.02/49.01  | | 
% 245.02/49.01  | | ALPHA: (16) implies:
% 245.02/49.01  | |   (17)  all_24_17 = e22
% 245.02/49.01  | | 
% 245.02/49.01  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (12), (13), (14), (17)
% 245.02/49.01  | |            are inconsistent by sub-proof #795.
% 245.02/49.01  | | 
% 245.02/49.01  | End of split
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #649 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)   ~ (all_16_15 = e24)
% 245.02/49.01    (2)   ~ (e24 = e20)
% 245.02/49.01    (3)   ~ (e23 = e21)
% 245.02/49.01    (4)  op2(e23, e21) = e24
% 245.02/49.01    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.01           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.01           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.01    (6)  op2(e23, e23) = e21
% 245.02/49.01    (7)  all_24_2 = e22
% 245.02/49.01    (8)   ~ (e23 = e22)
% 245.02/49.01    (9)  all_24_0 = e20
% 245.02/49.01    (10)   ~ (e22 = e20)
% 245.02/49.01    (11)  op2(e21, e23) = all_16_8
% 245.02/49.01    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (13)  all_24_7 = e24
% 245.02/49.01    (14)  all_24_21 = e23
% 245.02/49.01    (15)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.02/49.01            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.02/49.01            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.01    (16)   ~ (e23 = e20)
% 245.02/49.01    (17)   ~ (all_16_7 = e23)
% 245.02/49.01    (18)  op2(e24, e23) = e22
% 245.02/49.01    (19)  op2(e24, e22) = e23
% 245.02/49.01    (20)   ~ (e24 = e21)
% 245.02/49.01    (21)   ~ (e22 = e21)
% 245.02/49.01    (22)  op2(e23, e22) = e20
% 245.02/49.01    (23)  all_24_1 = e22
% 245.02/49.01    (24)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.02/49.01            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.02/49.01            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.02/49.01    (25)  all_24_4 = e23
% 245.02/49.01    (26)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/49.01            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/49.01    (27)   ~ (all_16_8 = e23)
% 245.02/49.01    (28)  op2(e22, e23) = all_16_7
% 245.02/49.01    (29)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.01    (30)   ~ (e21 = e20)
% 245.02/49.01    (31)  op2(e24, e21) = all_16_15
% 245.02/49.01    (32)  all_24_9 = e20
% 245.02/49.01    (33)   ~ (e24 = e22)
% 245.02/49.01    (34)  all_24_17 = e23
% 245.02/49.01    (35)   ~ (e24 = e23)
% 245.02/49.01    (36)  op2(e23, e21) = all_10_1
% 245.02/49.01    (37)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.01            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.01    (38)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (39)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/49.01            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/49.01            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/49.01    (40)  all_24_3 = e21
% 245.02/49.01    (41)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | BETA: splitting (15) gives:
% 245.02/49.01  | 
% 245.02/49.01  | Case 1:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (42)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 245.02/49.01  | |             e23) = e21)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (42) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (43)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (9), (30), (43) are inconsistent by sub-proof #881.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (44)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (12), (18), (21), (44) are inconsistent by sub-proof #866.
% 245.02/49.01  | | | 
% 245.02/49.01  | | End of split
% 245.02/49.01  | | 
% 245.02/49.01  | Case 2:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (45)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 245.02/49.01  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (45) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (46)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | ALPHA: (46) implies:
% 245.02/49.01  | | |   (47)  all_24_4 = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | COMBINE_EQS: (25), (47) imply:
% 245.02/49.01  | | |   (48)  e23 = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | SIMP: (48) implies:
% 245.02/49.01  | | |   (49)  e23 = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | COMBINE_EQS: (34), (49) imply:
% 245.02/49.01  | | |   (50)  all_24_17 = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (3), (4), (6), (7), (8), (12), (16), (20), (22), (33), (35),
% 245.02/49.01  | | |            (36), (38), (41), (50) are inconsistent by sub-proof #874.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (51)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 245.02/49.01  | | |           op2(e24, e20) = e21)
% 245.02/49.01  | | | 
% 245.02/49.01  | | | BETA: splitting (51) gives:
% 245.02/49.01  | | | 
% 245.02/49.01  | | | Case 1:
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | |   (52)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | REF_CLOSE: (30), (32), (52) are inconsistent by sub-proof #653.
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | Case 2:
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | |   (53)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | ALPHA: (53) implies:
% 245.02/49.01  | | | |   (54)  all_24_16 = e21
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.02/49.01  | | | |            (12), (13), (14), (16), (17), (18), (19), (20), (21), (22),
% 245.02/49.01  | | | |            (23), (24), (26), (27), (28), (29), (30), (31), (33), (34),
% 245.02/49.01  | | | |            (35), (36), (37), (38), (39), (40), (41), (54) are
% 245.02/49.01  | | | |            inconsistent by sub-proof #650.
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | End of split
% 245.02/49.01  | | | 
% 245.02/49.01  | | End of split
% 245.02/49.01  | | 
% 245.02/49.01  | End of split
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #650 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)   ~ (all_16_15 = e24)
% 245.02/49.01    (2)   ~ (e24 = e20)
% 245.02/49.01    (3)   ~ (e23 = e21)
% 245.02/49.01    (4)  op2(e23, e21) = e24
% 245.02/49.01    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.01           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.01           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.01    (6)  op2(e23, e23) = e21
% 245.02/49.01    (7)  all_24_2 = e22
% 245.02/49.01    (8)   ~ (e23 = e22)
% 245.02/49.01    (9)  all_24_0 = e20
% 245.02/49.01    (10)   ~ (e22 = e20)
% 245.02/49.01    (11)  op2(e21, e23) = all_16_8
% 245.02/49.01    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (13)  all_24_7 = e24
% 245.02/49.01    (14)  all_24_21 = e23
% 245.02/49.01    (15)   ~ (e23 = e20)
% 245.02/49.01    (16)   ~ (all_16_7 = e23)
% 245.02/49.01    (17)  op2(e24, e23) = e22
% 245.02/49.01    (18)  op2(e24, e22) = e23
% 245.02/49.01    (19)   ~ (e24 = e21)
% 245.02/49.01    (20)   ~ (e22 = e21)
% 245.02/49.01    (21)  op2(e23, e22) = e20
% 245.02/49.01    (22)  all_24_1 = e22
% 245.02/49.01    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.02/49.01            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.02/49.01            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.02/49.01    (24)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/49.01            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/49.01    (25)   ~ (all_16_8 = e23)
% 245.02/49.01    (26)  op2(e22, e23) = all_16_7
% 245.02/49.01    (27)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.01    (28)   ~ (e21 = e20)
% 245.02/49.01    (29)  op2(e24, e21) = all_16_15
% 245.02/49.01    (30)   ~ (e24 = e22)
% 245.02/49.01    (31)  all_24_17 = e23
% 245.02/49.01    (32)   ~ (e24 = e23)
% 245.02/49.01    (33)  op2(e23, e21) = all_10_1
% 245.02/49.01    (34)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.01            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.01    (35)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (36)  all_24_16 = e21
% 245.02/49.01    (37)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/49.01            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/49.01            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/49.01    (38)  all_24_3 = e21
% 245.02/49.01    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | BETA: splitting (23) gives:
% 245.02/49.01  | 
% 245.02/49.01  | Case 1:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (40)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 245.02/49.01  | |             e23) = e24)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (40) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (41)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (2), (9), (41) are inconsistent by sub-proof #863.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (42)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 245.02/49.01  | | |            (15), (17), (19), (20), (21), (22), (24), (27), (28), (30),
% 245.02/49.01  | | |            (31), (32), (33), (35), (37), (38), (39), (42) are inconsistent
% 245.02/49.01  | | |            by sub-proof #652.
% 245.02/49.01  | | | 
% 245.02/49.01  | | End of split
% 245.02/49.01  | | 
% 245.02/49.01  | Case 2:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (43)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 245.02/49.01  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (43) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (44)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.02/49.01  | | | 
% 245.02/49.01  | | | ALPHA: (44) implies:
% 245.02/49.01  | | |   (45)  op2(e24, e22) = e24
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (12), (18), (32), (45) are inconsistent by sub-proof #660.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (46)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 245.02/49.01  | | |           op2(e24, e20) = e24)
% 245.02/49.01  | | | 
% 245.02/49.01  | | | BETA: splitting (46) gives:
% 245.02/49.01  | | | 
% 245.02/49.01  | | | Case 1:
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | |   (47)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | REF_CLOSE: (1), (12), (29), (47) are inconsistent by sub-proof #862.
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | Case 2:
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | |   (48)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | ALPHA: (48) implies:
% 245.02/49.01  | | | |   (49)  all_24_16 = e24
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 245.02/49.01  | | | |            (14), (15), (16), (17), (19), (20), (21), (22), (24), (25),
% 245.02/49.01  | | | |            (26), (28), (30), (31), (32), (33), (34), (35), (36), (37),
% 245.02/49.01  | | | |            (38), (39), (49) are inconsistent by sub-proof #651.
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | End of split
% 245.02/49.01  | | | 
% 245.02/49.01  | | End of split
% 245.02/49.01  | | 
% 245.02/49.01  | End of split
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #651 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)  all_24_16 = e24
% 245.02/49.01    (2)   ~ (e24 = e20)
% 245.02/49.01    (3)   ~ (e23 = e21)
% 245.02/49.01    (4)  op2(e23, e21) = e24
% 245.02/49.01    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.01           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.01           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.01    (6)  op2(e23, e23) = e21
% 245.02/49.01    (7)  all_24_2 = e22
% 245.02/49.01    (8)   ~ (e23 = e22)
% 245.02/49.01    (9)   ~ (e22 = e20)
% 245.02/49.01    (10)  op2(e21, e23) = all_16_8
% 245.02/49.01    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (12)  all_24_7 = e24
% 245.02/49.01    (13)  all_24_21 = e23
% 245.02/49.01    (14)   ~ (e23 = e20)
% 245.02/49.01    (15)   ~ (all_16_7 = e23)
% 245.02/49.01    (16)  op2(e24, e23) = e22
% 245.02/49.01    (17)   ~ (e24 = e21)
% 245.02/49.01    (18)   ~ (e22 = e21)
% 245.02/49.01    (19)  op2(e23, e22) = e20
% 245.02/49.01    (20)  all_24_1 = e22
% 245.02/49.01    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/49.01            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/49.01    (22)   ~ (all_16_8 = e23)
% 245.02/49.01    (23)  op2(e22, e23) = all_16_7
% 245.02/49.01    (24)   ~ (e21 = e20)
% 245.02/49.01    (25)   ~ (e24 = e22)
% 245.02/49.01    (26)  all_24_17 = e23
% 245.02/49.01    (27)   ~ (e24 = e23)
% 245.02/49.01    (28)  op2(e23, e21) = all_10_1
% 245.02/49.01    (29)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.01            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.01    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (31)  all_24_16 = e21
% 245.02/49.01    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/49.01            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/49.01            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/49.01    (33)  all_24_3 = e21
% 245.02/49.01    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (1), (31) imply:
% 245.02/49.01  |   (35)  e24 = e21
% 245.02/49.01  | 
% 245.02/49.01  | SIMP: (35) implies:
% 245.02/49.01  |   (36)  e24 = e21
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (12), (36) imply:
% 245.02/49.01  |   (37)  all_24_7 = e21
% 245.02/49.01  | 
% 245.02/49.01  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.02/49.01  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.02/49.01  |            (26), (27), (28), (29), (30), (32), (33), (34), (37) are
% 245.02/49.01  |            inconsistent by sub-proof #744.
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #652 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)   ~ (e24 = e20)
% 245.02/49.01    (2)   ~ (e23 = e21)
% 245.02/49.01    (3)  op2(e23, e21) = e24
% 245.02/49.01    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.01           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.01           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.01    (5)  op2(e23, e23) = e21
% 245.02/49.01    (6)  all_24_2 = e22
% 245.02/49.01    (7)   ~ (e23 = e22)
% 245.02/49.01    (8)   ~ (e22 = e20)
% 245.02/49.01    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (10)  all_24_7 = e24
% 245.02/49.01    (11)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.02/49.01    (12)  all_24_21 = e23
% 245.02/49.01    (13)   ~ (e23 = e20)
% 245.02/49.01    (14)  op2(e24, e23) = e22
% 245.02/49.01    (15)   ~ (e24 = e21)
% 245.02/49.01    (16)   ~ (e22 = e21)
% 245.02/49.01    (17)  op2(e23, e22) = e20
% 245.02/49.01    (18)  all_24_1 = e22
% 245.02/49.01    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.02/49.01            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.02/49.01    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.01    (21)   ~ (e21 = e20)
% 245.02/49.01    (22)   ~ (e24 = e22)
% 245.02/49.01    (23)  all_24_17 = e23
% 245.02/49.01    (24)   ~ (e24 = e23)
% 245.02/49.01    (25)  op2(e23, e21) = all_10_1
% 245.02/49.01    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.02/49.01            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.02/49.01            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.02/49.01    (28)  all_24_3 = e21
% 245.02/49.01    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | ALPHA: (11) implies:
% 245.02/49.01  |   (30)  all_24_1 = e24
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (18), (30) imply:
% 245.02/49.01  |   (31)  e24 = e22
% 245.02/49.01  | 
% 245.02/49.01  | SIMP: (31) implies:
% 245.02/49.01  |   (32)  e24 = e22
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (10), (32) imply:
% 245.02/49.01  |   (33)  all_24_7 = e22
% 245.02/49.01  | 
% 245.02/49.01  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12), (13), (14),
% 245.02/49.01  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.02/49.01  |            (26), (27), (28), (29), (33) are inconsistent by sub-proof #812.
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #653 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.01    (2)  all_24_9 = e20
% 245.02/49.01    (3)   ~ (e21 = e20)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | ALPHA: (1) implies:
% 245.02/49.01  |   (4)  all_24_9 = e21
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.01  |   (5)  e21 = e20
% 245.02/49.01  | 
% 245.02/49.01  | REDUCE: (3), (5) imply:
% 245.02/49.01  |   (6)  $false
% 245.02/49.01  | 
% 245.02/49.01  | CLOSE: (6) is inconsistent.
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #654 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)   ~ (e24 = e20)
% 245.02/49.01    (2)   ~ (e23 = e21)
% 245.02/49.01    (3)  op2(e23, e21) = e24
% 245.02/49.01    (4)  op2(e23, e23) = e21
% 245.02/49.01    (5)  all_24_2 = e22
% 245.02/49.01    (6)   ~ (e23 = e22)
% 245.02/49.01    (7)   ~ (e22 = e20)
% 245.02/49.01    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (9)   ~ (e23 = e20)
% 245.02/49.01    (10)   ~ (e24 = e21)
% 245.02/49.01    (11)   ~ (e22 = e21)
% 245.02/49.01    (12)  op2(e23, e22) = e20
% 245.02/49.01    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.01    (14)  all_24_15 = e21
% 245.02/49.01    (15)   ~ (e24 = e22)
% 245.02/49.01    (16)   ~ (e24 = e23)
% 245.02/49.01    (17)  op2(e23, e21) = all_10_1
% 245.02/49.01    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (19)  all_24_5 = e20
% 245.02/49.01    (20)  all_24_15 = e22
% 245.02/49.01    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (14), (20) imply:
% 245.02/49.01  |   (22)  e22 = e21
% 245.02/49.01  | 
% 245.02/49.01  | SIMP: (22) implies:
% 245.02/49.01  |   (23)  e22 = e21
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (5), (23) imply:
% 245.02/49.01  |   (24)  all_24_2 = e21
% 245.02/49.01  | 
% 245.02/49.01  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.02/49.01  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 245.02/49.01  |            sub-proof #1298.
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #655 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)   ~ (e23 = e21)
% 245.02/49.01    (2)  all_24_11 = e23
% 245.02/49.01    (3)  op2(e23, e21) = e24
% 245.02/49.01    (4)  op2(e23, e23) = e21
% 245.02/49.01    (5)  all_24_2 = e22
% 245.02/49.01    (6)   ~ (e23 = e22)
% 245.02/49.01    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (8)   ~ (e23 = e20)
% 245.02/49.01    (9)   ~ (e24 = e21)
% 245.02/49.01    (10)  op2(e23, e22) = e20
% 245.02/49.01    (11)   ~ (e24 = e22)
% 245.02/49.01    (12)  all_24_17 = e23
% 245.02/49.01    (13)   ~ (e24 = e23)
% 245.02/49.01    (14)  op2(e23, e21) = all_10_1
% 245.02/49.01    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (16)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.02/49.01    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | ALPHA: (16) implies:
% 245.02/49.01  |   (18)  all_24_11 = e21
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (2), (18) imply:
% 245.02/49.01  |   (19)  e23 = e21
% 245.02/49.01  | 
% 245.02/49.01  | SIMP: (19) implies:
% 245.02/49.01  |   (20)  e23 = e21
% 245.02/49.01  | 
% 245.02/49.01  | COMBINE_EQS: (12), (20) imply:
% 245.02/49.01  |   (21)  all_24_17 = e21
% 245.02/49.01  | 
% 245.02/49.01  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.02/49.01  |            (15), (17), (21) are inconsistent by sub-proof #874.
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #656 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23, e21)
% 245.02/49.01           = e21)
% 245.02/49.01    (2)  op2(e23, e21) = e24
% 245.02/49.01    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (4)   ~ (e24 = e21)
% 245.02/49.01    (5)   ~ (e21 = e20)
% 245.02/49.01    (6)  all_24_9 = e20
% 245.02/49.01    (7)  op2(e23, e21) = all_10_1
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | BETA: splitting (1) gives:
% 245.02/49.01  | 
% 245.02/49.01  | Case 1:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (8)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.01  | | 
% 245.02/49.01  | | ALPHA: (8) implies:
% 245.02/49.01  | |   (9)  all_24_9 = e21
% 245.02/49.01  | | 
% 245.02/49.01  | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #674.
% 245.02/49.01  | | 
% 245.02/49.01  | Case 2:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (10)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.02/49.01  | | 
% 245.02/49.01  | | REF_CLOSE: (2), (3), (4), (7), (10) are inconsistent by sub-proof #789.
% 245.02/49.01  | | 
% 245.02/49.01  | End of split
% 245.02/49.01  | 
% 245.02/49.01  End of proof
% 245.02/49.01  
% 245.02/49.01  Sub-proof #657 shows that the following formulas are inconsistent:
% 245.02/49.01  ----------------------------------------------------------------
% 245.02/49.01    (1)  all_24_16 = e24
% 245.02/49.01    (2)   ~ (e24 = e20)
% 245.02/49.01    (3)   ~ (e23 = e21)
% 245.02/49.01    (4)  op2(e23, e21) = e24
% 245.02/49.01    (5)  op2(e23, e23) = e21
% 245.02/49.01    (6)  all_24_2 = e22
% 245.02/49.01    (7)   ~ (e23 = e22)
% 245.02/49.01    (8)  all_24_0 = e20
% 245.02/49.01    (9)   ~ (e22 = e20)
% 245.02/49.01    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.01            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.01    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.02/49.01            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.02/49.01            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.01    (12)   ~ (e23 = e20)
% 245.02/49.01    (13)  op2(e24, e23) = e22
% 245.02/49.01    (14)   ~ (e24 = e21)
% 245.02/49.01    (15)   ~ (e22 = e21)
% 245.02/49.01    (16)  op2(e23, e22) = e20
% 245.02/49.01    (17)  all_24_4 = e23
% 245.02/49.01    (18)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.01            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.01            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.01    (19)   ~ (e21 = e20)
% 245.02/49.01    (20)   ~ (e24 = e22)
% 245.02/49.01    (21)  all_24_17 = e23
% 245.02/49.01    (22)   ~ (e24 = e23)
% 245.02/49.01    (23)  op2(e23, e21) = all_10_1
% 245.02/49.01    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.01            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.01            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.01    (25)  all_24_9 = e22
% 245.02/49.01    (26)  all_24_5 = e20
% 245.02/49.01    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.01            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.01            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.01  
% 245.02/49.01  Begin of proof
% 245.02/49.01  | 
% 245.02/49.01  | BETA: splitting (11) gives:
% 245.02/49.01  | 
% 245.02/49.01  | Case 1:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (28)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 245.02/49.01  | |             e23) = e21)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (28) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (29)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (8), (19), (29) are inconsistent by sub-proof #881.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (30)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (10), (13), (15), (30) are inconsistent by sub-proof #866.
% 245.02/49.01  | | | 
% 245.02/49.01  | | End of split
% 245.02/49.01  | | 
% 245.02/49.01  | Case 2:
% 245.02/49.01  | | 
% 245.02/49.01  | |   (31)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 245.02/49.01  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.01  | | 
% 245.02/49.01  | | BETA: splitting (31) gives:
% 245.02/49.01  | | 
% 245.02/49.01  | | Case 1:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (32)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.02/49.01  | | | 
% 245.02/49.01  | | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (12), (14), (16), (17), (20),
% 245.02/49.01  | | |            (21), (22), (23), (24), (27), (32) are inconsistent by
% 245.02/49.01  | | |            sub-proof #664.
% 245.02/49.01  | | | 
% 245.02/49.01  | | Case 2:
% 245.02/49.01  | | | 
% 245.02/49.01  | | |   (33)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 245.02/49.01  | | |           op2(e24, e20) = e21)
% 245.02/49.01  | | | 
% 245.02/49.01  | | | BETA: splitting (33) gives:
% 245.02/49.01  | | | 
% 245.02/49.01  | | | Case 1:
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | |   (34)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (12), (14), (15),
% 245.02/49.01  | | | |            (16), (18), (20), (22), (23), (24), (25), (26), (27), (34)
% 245.02/49.01  | | | |            are inconsistent by sub-proof #658.
% 245.02/49.01  | | | | 
% 245.02/49.01  | | | Case 2:
% 245.02/49.01  | | | | 
% 245.02/49.02  | | | |   (35)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | REF_CLOSE: (1), (14), (35) are inconsistent by sub-proof #673.
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | End of split
% 245.02/49.02  | | | 
% 245.02/49.02  | | End of split
% 245.02/49.02  | | 
% 245.02/49.02  | End of split
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #658 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)   ~ (e24 = e20)
% 245.02/49.02    (2)   ~ (e23 = e21)
% 245.02/49.02    (3)  op2(e23, e21) = e24
% 245.02/49.02    (4)  op2(e23, e23) = e21
% 245.02/49.02    (5)  all_24_2 = e22
% 245.02/49.02    (6)   ~ (e23 = e22)
% 245.02/49.02    (7)   ~ (e22 = e20)
% 245.02/49.02    (8)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.02    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (10)   ~ (e23 = e20)
% 245.02/49.02    (11)   ~ (e24 = e21)
% 245.02/49.02    (12)   ~ (e22 = e21)
% 245.02/49.02    (13)  op2(e23, e22) = e20
% 245.02/49.02    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.02            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.02            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.02    (15)   ~ (e24 = e22)
% 245.02/49.02    (16)   ~ (e24 = e23)
% 245.02/49.02    (17)  op2(e23, e21) = all_10_1
% 245.02/49.02    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (19)  all_24_9 = e22
% 245.02/49.02    (20)  all_24_5 = e20
% 245.02/49.02    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | ALPHA: (8) implies:
% 245.02/49.02  |   (22)  all_24_9 = e21
% 245.02/49.02  | 
% 245.02/49.02  | COMBINE_EQS: (19), (22) imply:
% 245.02/49.02  |   (23)  e22 = e21
% 245.02/49.02  | 
% 245.02/49.02  | COMBINE_EQS: (5), (23) imply:
% 245.02/49.02  |   (24)  all_24_2 = e21
% 245.02/49.02  | 
% 245.02/49.02  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14),
% 245.02/49.02  |            (15), (16), (17), (18), (20), (21), (24) are inconsistent by
% 245.02/49.02  |            sub-proof #1298.
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #659 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)  all_24_16 = e24
% 245.02/49.02    (2)   ~ (e23 = e21)
% 245.02/49.02    (3)  op2(e23, e21) = e24
% 245.02/49.02    (4)  op2(e23, e23) = e21
% 245.02/49.02    (5)  all_24_2 = e22
% 245.02/49.02    (6)   ~ (e23 = e22)
% 245.02/49.02    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (8)   ~ (e23 = e20)
% 245.02/49.02    (9)   ~ (e24 = e21)
% 245.02/49.02    (10)  op2(e23, e22) = e20
% 245.02/49.02    (11)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.02/49.02              e20) = e21)
% 245.02/49.02    (12)   ~ (e24 = e22)
% 245.02/49.02    (13)   ~ (e24 = e23)
% 245.02/49.02    (14)  op2(e23, e21) = all_10_1
% 245.02/49.02    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | BETA: splitting (11) gives:
% 245.02/49.02  | 
% 245.02/49.02  | Case 1:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (17)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.02  | | 
% 245.02/49.02  | | REF_CLOSE: (1), (9), (17) are inconsistent by sub-proof #673.
% 245.02/49.02  | | 
% 245.02/49.02  | Case 2:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (18)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.02/49.02  | | 
% 245.02/49.02  | | ALPHA: (18) implies:
% 245.02/49.02  | |   (19)  all_24_17 = e21
% 245.02/49.02  | | 
% 245.02/49.02  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.02/49.02  | |            (15), (16), (19) are inconsistent by sub-proof #874.
% 245.02/49.02  | | 
% 245.02/49.02  | End of split
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #660 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (2)  op2(e24, e22) = e24
% 245.02/49.02    (3)  op2(e24, e22) = e23
% 245.02/49.02    (4)   ~ (e24 = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | GROUND_INST: instantiating (1) with e23, e24, e22, e24, simplifying with (2),
% 245.02/49.02  |              (3) gives:
% 245.02/49.02  |   (5)  e24 = e23
% 245.02/49.02  | 
% 245.02/49.02  | REDUCE: (4), (5) imply:
% 245.02/49.02  |   (6)  $false
% 245.02/49.02  | 
% 245.02/49.02  | CLOSE: (6) is inconsistent.
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #661 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)  op2(e24, e22) = all_16_10
% 245.02/49.02    (2)  all_24_24 = e20
% 245.02/49.02    (3)   ~ (all_16_10 = e20)
% 245.02/49.02    (4)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.02/49.02           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.02/49.02           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.02/49.02    (5)  op2(unit2, e24) = e24
% 245.02/49.02    (6)  op2(e23, unit2) = e23
% 245.02/49.02    (7)   ~ (unit2 = e23)
% 245.02/49.02    (8)  op2(e20, e24) = all_16_4
% 245.02/49.02    (9)   ~ (e24 = e20)
% 245.02/49.02    (10)   ~ (e23 = e21)
% 245.02/49.02    (11)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.02/49.02              e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.02/49.02            e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/49.02    (12)  op2(e23, e21) = e24
% 245.02/49.02    (13)   ~ (all_16_19 = e20)
% 245.02/49.02    (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.02            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.02            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.02    (15)  op2(e23, e23) = e21
% 245.02/49.02    (16)  all_24_2 = e22
% 245.02/49.02    (17)   ~ (e23 = e22)
% 245.02/49.02    (18)  op2(e20, unit2) = e20
% 245.02/49.02    (19)   ~ (e22 = e20)
% 245.02/49.02    (20)  op2(e21, e23) = all_16_8
% 245.02/49.02    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (22)  op2(e23, e24) = e22
% 245.02/49.02    (23)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.02/49.02            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.02/49.02            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.02    (24)   ~ (e23 = e20)
% 245.02/49.02    (25)   ~ (all_16_7 = e23)
% 245.02/49.02    (26)  op2(e24, e23) = e22
% 245.02/49.02    (27)   ~ (all_16_10 = e22)
% 245.02/49.02    (28)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 245.02/49.02            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 245.02/49.02            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 245.02/49.02    (29)   ~ (e24 = e21)
% 245.02/49.02    (30)  op2(e20, e22) = all_16_14
% 245.02/49.02    (31)   ~ (all_16_4 = e20)
% 245.02/49.02    (32)   ~ (e22 = e21)
% 245.02/49.02    (33)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.02/49.02            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.02/49.02            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.02/49.02    (34)  op2(e24, unit2) = e24
% 245.02/49.02    (35)  op2(e23, e22) = e20
% 245.02/49.02    (36)  all_24_12 = e23
% 245.02/49.02    (37)   ~ (all_16_14 = e20)
% 245.02/49.02    (38)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.02/49.02    (39)  all_24_0 = e24
% 245.02/49.02    (40)  all_24_4 = e23
% 245.02/49.02    (41)   ~ (all_16_8 = e23)
% 245.02/49.02    (42)  op2(e22, e23) = all_16_7
% 245.02/49.02    (43)   ~ (all_16_19 = e24)
% 245.02/49.02    (44)  op2(unit2, e22) = e22
% 245.02/49.02    (45)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.02            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.02            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.02    (46)   ~ (e21 = e20)
% 245.02/49.02    (47)   ~ (e24 = e22)
% 245.02/49.02    (48)  all_24_17 = e23
% 245.02/49.02    (49)   ~ (e24 = e23)
% 245.02/49.02    (50)  op2(e23, e21) = all_10_1
% 245.02/49.02    (51)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.02            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.02    (52)  op2(e20, e21) = all_16_19
% 245.02/49.02    (53)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (54)  all_24_5 = e20
% 245.02/49.02    (55)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | BETA: splitting (28) gives:
% 245.02/49.02  | 
% 245.02/49.02  | Case 1:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (56)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 245.02/49.02  | |             e24) = e20)
% 245.02/49.02  | | 
% 245.02/49.02  | | REF_CLOSE: (9), (10), (12), (14), (15), (17), (19), (21), (24), (29), (32),
% 245.02/49.02  | |            (35), (39), (45), (46), (47), (49), (50), (53), (55), (56) are
% 245.02/49.02  | |            inconsistent by sub-proof #667.
% 245.02/49.02  | | 
% 245.02/49.02  | Case 2:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (57)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 & op2(e21,
% 245.02/49.02  | |             e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 245.02/49.02  | | 
% 245.02/49.02  | | BETA: splitting (57) gives:
% 245.02/49.02  | | 
% 245.02/49.02  | | Case 1:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (58)  all_24_6 = e20 & op2(e22, e24) = e20
% 245.02/49.02  | | | 
% 245.02/49.02  | | | ALPHA: (58) implies:
% 245.02/49.02  | | |   (59)  all_24_6 = e20
% 245.02/49.02  | | | 
% 245.02/49.02  | | | BETA: splitting (4) gives:
% 245.02/49.02  | | | 
% 245.02/49.02  | | | Case 1:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | |   (60)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 &
% 245.02/49.02  | | | |           op2(e23, e24) = e21)
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | REF_CLOSE: (9), (10), (12), (15), (17), (19), (21), (24), (29), (32),
% 245.02/49.02  | | | |            (35), (39), (45), (47), (49), (50), (53), (54), (55), (60)
% 245.02/49.02  | | | |            are inconsistent by sub-proof #665.
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | Case 2:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | |   (61)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.02/49.02  | | | |           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | BETA: splitting (61) gives:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | Case 1:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (62)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | ALPHA: (62) implies:
% 245.02/49.02  | | | | |   (63)  all_24_6 = e21
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | REF_CLOSE: (46), (59), (63) are inconsistent by sub-proof #793.
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | Case 2:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (64)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 245.02/49.02  | | | | |           op2(e20, e24) = e21)
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | BETA: splitting (64) gives:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | Case 1:
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | |   (65)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | REF_CLOSE: (10), (12), (15), (16), (17), (21), (24), (29), (35),
% 245.02/49.02  | | | | | |            (36), (47), (48), (49), (50), (53), (55), (65) are
% 245.02/49.02  | | | | | |            inconsistent by sub-proof #747.
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | Case 2:
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | |   (66)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | ALPHA: (66) implies:
% 245.02/49.02  | | | | | |   (67)  all_24_20 = e21
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (12),
% 245.02/49.02  | | | | | |            (13), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.02/49.02  | | | | | |            (23), (24), (25), (26), (27), (29), (30), (32), (33),
% 245.02/49.02  | | | | | |            (34), (35), (37), (38), (39), (40), (41), (42), (43),
% 245.02/49.02  | | | | | |            (44), (46), (47), (48), (49), (50), (51), (52), (53),
% 245.02/49.02  | | | | | |            (55), (67) are inconsistent by sub-proof #663.
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | End of split
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | End of split
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | End of split
% 245.02/49.02  | | | 
% 245.02/49.02  | | Case 2:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (68)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 &
% 245.02/49.02  | | |           op2(e20, e24) = e20)
% 245.02/49.02  | | | 
% 245.02/49.02  | | | REF_CLOSE: (8), (9), (10), (12), (14), (15), (16), (17), (21), (24), (29),
% 245.02/49.02  | | |            (31), (32), (35), (36), (46), (47), (48), (49), (50), (53),
% 245.02/49.02  | | |            (55), (68) are inconsistent by sub-proof #662.
% 245.02/49.02  | | | 
% 245.02/49.02  | | End of split
% 245.02/49.02  | | 
% 245.02/49.02  | End of split
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #662 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20,
% 245.02/49.02             e24) = e20)
% 245.02/49.02    (2)  op2(e20, e24) = all_16_4
% 245.02/49.02    (3)   ~ (e24 = e20)
% 245.02/49.02    (4)   ~ (e23 = e21)
% 245.02/49.02    (5)  op2(e23, e21) = e24
% 245.02/49.02    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.02           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.02           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.02    (7)  op2(e23, e23) = e21
% 245.02/49.02    (8)  all_24_2 = e22
% 245.02/49.02    (9)   ~ (e23 = e22)
% 245.02/49.02    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (11)   ~ (e23 = e20)
% 245.02/49.02    (12)   ~ (e24 = e21)
% 245.02/49.02    (13)   ~ (all_16_4 = e20)
% 245.02/49.02    (14)   ~ (e22 = e21)
% 245.02/49.02    (15)  op2(e23, e22) = e20
% 245.02/49.02    (16)  all_24_12 = e23
% 245.02/49.02    (17)   ~ (e21 = e20)
% 245.02/49.02    (18)   ~ (e24 = e22)
% 245.02/49.02    (19)  all_24_17 = e23
% 245.02/49.02    (20)   ~ (e24 = e23)
% 245.02/49.02    (21)  op2(e23, e21) = all_10_1
% 245.02/49.02    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | BETA: splitting (1) gives:
% 245.02/49.02  | 
% 245.02/49.02  | Case 1:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (24)  all_24_12 = e20 & op2(e21, e24) = e20
% 245.02/49.02  | | 
% 245.02/49.02  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 245.02/49.02  | |            (16), (17), (18), (19), (20), (21), (22), (23), (24) are
% 245.02/49.02  | |            inconsistent by sub-proof #868.
% 245.02/49.02  | | 
% 245.02/49.02  | Case 2:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (25)  all_24_20 = e20 & op2(e20, e24) = e20
% 245.02/49.02  | | 
% 245.02/49.02  | | ALPHA: (25) implies:
% 245.02/49.02  | |   (26)  op2(e20, e24) = e20
% 245.02/49.02  | | 
% 245.02/49.02  | | REF_CLOSE: (2), (10), (13), (26) are inconsistent by sub-proof #962.
% 245.02/49.02  | | 
% 245.02/49.02  | End of split
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #663 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)  op2(e24, e22) = all_16_10
% 245.02/49.02    (2)  all_24_24 = e20
% 245.02/49.02    (3)   ~ (all_16_10 = e20)
% 245.02/49.02    (4)  op2(unit2, e24) = e24
% 245.02/49.02    (5)  op2(e23, unit2) = e23
% 245.02/49.02    (6)   ~ (unit2 = e23)
% 245.02/49.02    (7)   ~ (e24 = e20)
% 245.02/49.02    (8)   ~ (e23 = e21)
% 245.02/49.02    (9)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.02/49.02             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.02/49.02           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/49.02    (10)  op2(e23, e21) = e24
% 245.02/49.02    (11)   ~ (all_16_19 = e20)
% 245.02/49.02    (12)  op2(e23, e23) = e21
% 245.02/49.02    (13)  all_24_2 = e22
% 245.02/49.02    (14)   ~ (e23 = e22)
% 245.02/49.02    (15)  op2(e20, unit2) = e20
% 245.02/49.02    (16)   ~ (e22 = e20)
% 245.02/49.02    (17)  op2(e21, e23) = all_16_8
% 245.02/49.02    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (19)  op2(e23, e24) = e22
% 245.02/49.02    (20)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.02/49.02            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.02/49.02            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.02/49.02    (21)   ~ (e23 = e20)
% 245.02/49.02    (22)   ~ (all_16_7 = e23)
% 245.02/49.02    (23)  op2(e24, e23) = e22
% 245.02/49.02    (24)   ~ (all_16_10 = e22)
% 245.02/49.02    (25)   ~ (e24 = e21)
% 245.02/49.02    (26)  op2(e20, e22) = all_16_14
% 245.02/49.02    (27)   ~ (e22 = e21)
% 245.02/49.02    (28)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.02/49.02            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.02/49.02            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.02/49.02    (29)  op2(e24, unit2) = e24
% 245.02/49.02    (30)  op2(e23, e22) = e20
% 245.02/49.02    (31)   ~ (all_16_14 = e20)
% 245.02/49.02    (32)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.02/49.02    (33)  all_24_0 = e24
% 245.02/49.02    (34)  all_24_4 = e23
% 245.02/49.02    (35)   ~ (all_16_8 = e23)
% 245.02/49.02    (36)  op2(e22, e23) = all_16_7
% 245.02/49.02    (37)  all_24_20 = e21
% 245.02/49.02    (38)   ~ (all_16_19 = e24)
% 245.02/49.02    (39)  op2(unit2, e22) = e22
% 245.02/49.02    (40)   ~ (e21 = e20)
% 245.02/49.02    (41)   ~ (e24 = e22)
% 245.02/49.02    (42)  all_24_17 = e23
% 245.02/49.02    (43)   ~ (e24 = e23)
% 245.02/49.02    (44)  op2(e23, e21) = all_10_1
% 245.02/49.02    (45)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.02/49.02            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.02/49.02    (46)  op2(e20, e21) = all_16_19
% 245.02/49.02    (47)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (48)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | BETA: splitting (9) gives:
% 245.02/49.02  | 
% 245.02/49.02  | Case 1:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (49)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 245.02/49.02  | |           op2(e20, e23) = e24)
% 245.02/49.02  | | 
% 245.02/49.02  | | BETA: splitting (49) gives:
% 245.02/49.02  | | 
% 245.02/49.02  | | Case 1:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (50)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.02/49.02  | | | 
% 245.02/49.02  | | | REF_CLOSE: (25), (37), (50) are inconsistent by sub-proof #823.
% 245.02/49.02  | | | 
% 245.02/49.02  | | Case 2:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (51)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.02/49.02  | | | 
% 245.02/49.02  | | | REF_CLOSE: (8), (12), (14), (17), (18), (22), (23), (35), (36), (43),
% 245.02/49.02  | | |            (45), (51) are inconsistent by sub-proof #837.
% 245.02/49.02  | | | 
% 245.02/49.02  | | End of split
% 245.02/49.02  | | 
% 245.02/49.02  | Case 2:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (52)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 245.02/49.02  | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.02/49.02  | | 
% 245.02/49.02  | | BETA: splitting (52) gives:
% 245.02/49.02  | | 
% 245.02/49.02  | | Case 1:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (53)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.02/49.02  | | | 
% 245.02/49.02  | | | ALPHA: (53) implies:
% 245.02/49.02  | | |   (54)  op2(e20, e22) = e24
% 245.02/49.02  | | | 
% 245.02/49.02  | | | BETA: splitting (28) gives:
% 245.02/49.02  | | | 
% 245.02/49.02  | | | Case 1:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | |   (55)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 245.02/49.02  | | | |           op2(e24, e23) = e20)
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | BETA: splitting (55) gives:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | Case 1:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (56)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | REF_CLOSE: (7), (33), (56) are inconsistent by sub-proof #698.
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | Case 2:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (57)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | REF_CLOSE: (16), (18), (23), (57) are inconsistent by sub-proof #911.
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | End of split
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | Case 2:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | |   (58)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.02/49.02  | | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | BETA: splitting (58) gives:
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | | Case 1:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (59)  all_24_4 = e20 & op2(e24, e22) = e20
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | REF_CLOSE: (1), (3), (18), (59) are inconsistent by sub-proof #909.
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | Case 2:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | |   (60)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 245.02/49.02  | | | | |           op2(e24, e20) = e20)
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | BETA: splitting (60) gives:
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | | Case 1:
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | |   (61)  all_24_9 = e20 & op2(e24, e21) = e20
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | ALPHA: (61) implies:
% 245.02/49.02  | | | | | |   (62)  all_24_9 = e20
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | BETA: splitting (20) gives:
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | Case 1:
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | |   (63)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 &
% 245.02/49.02  | | | | | | |           op2(e24, e23) = e21)
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | | BETA: splitting (63) gives:
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | |   (64)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | | REF_CLOSE: (25), (33), (64) are inconsistent by sub-proof #666.
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | |   (65)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | | REF_CLOSE: (18), (23), (27), (65) are inconsistent by sub-proof
% 245.02/49.02  | | | | | | | |            #866.
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | End of split
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | Case 2:
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | |   (66)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.02/49.02  | | | | | | |           op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20)
% 245.02/49.02  | | | | | | |           = e21)
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | | BETA: splitting (66) gives:
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | |   (67)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | | REF_CLOSE: (8), (10), (12), (13), (14), (18), (21), (25), (30),
% 245.02/49.02  | | | | | | | |            (34), (41), (42), (43), (44), (47), (48), (67) are
% 245.02/49.02  | | | | | | | |            inconsistent by sub-proof #664.
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | |   (68)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 =
% 245.02/49.02  | | | | | | | |           e21 & op2(e24, e20) = e21)
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | | BETA: splitting (68) gives:
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | |   (69)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | ALPHA: (69) implies:
% 245.02/49.02  | | | | | | | | |   (70)  all_24_9 = e21
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | REF_CLOSE: (40), (62), (70) are inconsistent by sub-proof
% 245.02/49.02  | | | | | | | | |            #674.
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | |   (71)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | ALPHA: (71) implies:
% 245.02/49.02  | | | | | | | | |   (72)  op2(e24, e20) = e21
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | BETA: splitting (32) gives:
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | |   (73)  unit2 = e24
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (10), (15), (18), (24), (26),
% 245.02/49.02  | | | | | | | | | |            (31), (32), (39), (44), (54), (73) are
% 245.02/49.02  | | | | | | | | | |            inconsistent by sub-proof #771.
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | |   (74)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | BETA: splitting (74) gives:
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | |   (75)  unit2 = e22
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | REDUCE: (15), (75) imply:
% 245.02/49.02  | | | | | | | | | | |   (76)  op2(e20, e22) = e20
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | REF_CLOSE: (18), (26), (31), (76) are inconsistent by
% 245.02/49.02  | | | | | | | | | | |            sub-proof #961.
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | |   (77)  unit2 = e21 | unit2 = e20
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | BETA: splitting (77) gives:
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | Case 1:
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | |   (78)  unit2 = e21
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | REDUCE: (15), (78) imply:
% 245.02/49.02  | | | | | | | | | | | |   (79)  op2(e20, e21) = e20
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | REF_CLOSE: (11), (18), (46), (79) are inconsistent by
% 245.02/49.02  | | | | | | | | | | | |            sub-proof #960.
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | Case 2:
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | |   (80)  unit2 = e20
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | REDUCE: (39), (80) imply:
% 245.02/49.02  | | | | | | | | | | | |   (81)  op2(e20, e22) = e22
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | REDUCE: (29), (80) imply:
% 245.02/49.02  | | | | | | | | | | | |   (82)  op2(e24, e20) = e24
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | GROUND_INST: instantiating (18) with e24, e22, e22, e20,
% 245.02/49.02  | | | | | | | | | | | |              simplifying with (54), (81) gives:
% 245.02/49.02  | | | | | | | | | | | |   (83)  e24 = e22
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | GROUND_INST: instantiating (18) with e21, e24, e20, e24,
% 245.02/49.02  | | | | | | | | | | | |              simplifying with (72), (82) gives:
% 245.02/49.02  | | | | | | | | | | | |   (84)  e24 = e21
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | COMBINE_EQS: (83), (84) imply:
% 245.02/49.02  | | | | | | | | | | | |   (85)  e22 = e21
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | REDUCE: (27), (85) imply:
% 245.02/49.02  | | | | | | | | | | | |   (86)  $false
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | | CLOSE: (86) is inconsistent.
% 245.02/49.02  | | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | | End of split
% 245.02/49.02  | | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | | End of split
% 245.02/49.02  | | | | | | | | | | 
% 245.02/49.02  | | | | | | | | | End of split
% 245.02/49.02  | | | | | | | | | 
% 245.02/49.02  | | | | | | | | End of split
% 245.02/49.02  | | | | | | | | 
% 245.02/49.02  | | | | | | | End of split
% 245.02/49.02  | | | | | | | 
% 245.02/49.02  | | | | | | End of split
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | Case 2:
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | |   (87)  all_24_16 = e20 & op2(e24, e20) = e20
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | ALPHA: (87) implies:
% 245.02/49.02  | | | | | |   (88)  op2(e24, e20) = e20
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | | REF_CLOSE: (5), (10), (14), (18), (19), (21), (29), (30), (32),
% 245.02/49.02  | | | | | |            (43), (44), (88) are inconsistent by sub-proof #885.
% 245.02/49.02  | | | | | | 
% 245.02/49.02  | | | | | End of split
% 245.02/49.02  | | | | | 
% 245.02/49.02  | | | | End of split
% 245.02/49.02  | | | | 
% 245.02/49.02  | | | End of split
% 245.02/49.02  | | | 
% 245.02/49.02  | | Case 2:
% 245.02/49.02  | | | 
% 245.02/49.02  | | |   (89)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 245.02/49.02  | | |           op2(e20, e20) = e24)
% 245.02/49.02  | | | 
% 245.02/49.02  | | | REF_CLOSE: (2), (7), (18), (38), (46), (89) are inconsistent by sub-proof
% 245.02/49.02  | | |            #767.
% 245.02/49.02  | | | 
% 245.02/49.02  | | End of split
% 245.02/49.02  | | 
% 245.02/49.02  | End of split
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #664 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.02/49.02    (2)   ~ (e23 = e21)
% 245.02/49.02    (3)  op2(e23, e21) = e24
% 245.02/49.02    (4)  op2(e23, e23) = e21
% 245.02/49.02    (5)  all_24_2 = e22
% 245.02/49.02    (6)   ~ (e23 = e22)
% 245.02/49.02    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (8)   ~ (e23 = e20)
% 245.02/49.02    (9)   ~ (e24 = e21)
% 245.02/49.02    (10)  op2(e23, e22) = e20
% 245.02/49.02    (11)  all_24_4 = e23
% 245.02/49.02    (12)   ~ (e24 = e22)
% 245.02/49.02    (13)  all_24_17 = e23
% 245.02/49.02    (14)   ~ (e24 = e23)
% 245.02/49.02    (15)  op2(e23, e21) = all_10_1
% 245.02/49.02    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | ALPHA: (1) implies:
% 245.02/49.02  |   (18)  all_24_4 = e21
% 245.02/49.02  | 
% 245.02/49.02  | COMBINE_EQS: (11), (18) imply:
% 245.02/49.02  |   (19)  e23 = e21
% 245.02/49.02  | 
% 245.02/49.02  | COMBINE_EQS: (13), (19) imply:
% 245.02/49.02  |   (20)  all_24_17 = e21
% 245.02/49.02  | 
% 245.02/49.02  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14), (15),
% 245.02/49.02  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.02/49.02  | 
% 245.02/49.02  End of proof
% 245.02/49.02  
% 245.02/49.02  Sub-proof #665 shows that the following formulas are inconsistent:
% 245.02/49.02  ----------------------------------------------------------------
% 245.02/49.02    (1)   ~ (e24 = e20)
% 245.02/49.02    (2)   ~ (e23 = e21)
% 245.02/49.02    (3)  op2(e23, e21) = e24
% 245.02/49.02    (4)  op2(e23, e23) = e21
% 245.02/49.02    (5)   ~ (e23 = e22)
% 245.02/49.02    (6)   ~ (e22 = e20)
% 245.02/49.02    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.02           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.02    (8)   ~ (e23 = e20)
% 245.02/49.02    (9)   ~ (e24 = e21)
% 245.02/49.02    (10)   ~ (e22 = e21)
% 245.02/49.02    (11)  op2(e23, e22) = e20
% 245.02/49.02    (12)  all_24_0 = e24
% 245.02/49.02    (13)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.02/49.02            = e21)
% 245.02/49.02    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.02            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.02/49.02            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.02/49.02    (15)   ~ (e24 = e22)
% 245.02/49.02    (16)   ~ (e24 = e23)
% 245.02/49.02    (17)  op2(e23, e21) = all_10_1
% 245.02/49.02    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.02/49.02            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.02/49.02            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.02/49.02    (19)  all_24_5 = e20
% 245.02/49.02    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.02/49.02            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.02/49.02            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.02/49.02  
% 245.02/49.02  Begin of proof
% 245.02/49.02  | 
% 245.02/49.02  | BETA: splitting (13) gives:
% 245.02/49.02  | 
% 245.02/49.02  | Case 1:
% 245.02/49.02  | | 
% 245.02/49.02  | |   (21)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.02/49.03  | | 
% 245.02/49.03  | | REF_CLOSE: (9), (12), (21) are inconsistent by sub-proof #666.
% 245.02/49.03  | | 
% 245.02/49.03  | Case 2:
% 245.02/49.03  | | 
% 245.02/49.03  | |   (22)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.02/49.03  | | 
% 245.02/49.03  | | ALPHA: (22) implies:
% 245.02/49.03  | |   (23)  all_24_2 = e21
% 245.02/49.03  | | 
% 245.02/49.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 245.02/49.03  | |            (15), (16), (17), (18), (19), (20), (23) are inconsistent by
% 245.02/49.03  | |            sub-proof #1298.
% 245.02/49.03  | | 
% 245.02/49.03  | End of split
% 245.02/49.03  | 
% 245.02/49.03  End of proof
% 245.02/49.03  
% 245.02/49.03  Sub-proof #666 shows that the following formulas are inconsistent:
% 245.02/49.03  ----------------------------------------------------------------
% 245.02/49.03    (1)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.02/49.03    (2)  all_24_0 = e24
% 245.02/49.03    (3)   ~ (e24 = e21)
% 245.02/49.03  
% 245.02/49.03  Begin of proof
% 245.02/49.03  | 
% 245.02/49.03  | ALPHA: (1) implies:
% 245.02/49.03  |   (4)  all_24_0 = e21
% 245.02/49.03  | 
% 245.02/49.03  | COMBINE_EQS: (2), (4) imply:
% 245.02/49.03  |   (5)  e24 = e21
% 245.02/49.03  | 
% 245.02/49.03  | REDUCE: (3), (5) imply:
% 245.02/49.03  |   (6)  $false
% 245.02/49.03  | 
% 245.02/49.03  | CLOSE: (6) is inconsistent.
% 245.02/49.03  | 
% 245.02/49.03  End of proof
% 245.02/49.03  
% 245.02/49.03  Sub-proof #667 shows that the following formulas are inconsistent:
% 245.02/49.03  ----------------------------------------------------------------
% 245.02/49.03    (1)   ~ (e24 = e20)
% 245.02/49.03    (2)   ~ (e23 = e21)
% 245.02/49.03    (3)  op2(e23, e21) = e24
% 245.02/49.03    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.02/49.03           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.02/49.03           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.02/49.03    (5)  op2(e23, e23) = e21
% 245.02/49.03    (6)   ~ (e23 = e22)
% 245.02/49.03    (7)   ~ (e22 = e20)
% 245.02/49.03    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.02/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.02/49.03    (9)   ~ (e23 = e20)
% 245.02/49.03    (10)   ~ (e24 = e21)
% 245.02/49.03    (11)   ~ (e22 = e21)
% 245.02/49.03    (12)  op2(e23, e22) = e20
% 245.02/49.03    (13)  all_24_0 = e24
% 245.02/49.03    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.02/49.03            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.03            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.03    (15)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 245.08/49.03            = e20)
% 245.08/49.03    (16)   ~ (e21 = e20)
% 245.08/49.03    (17)   ~ (e24 = e22)
% 245.08/49.03    (18)   ~ (e24 = e23)
% 245.08/49.03    (19)  op2(e23, e21) = all_10_1
% 245.08/49.03    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.03    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | BETA: splitting (15) gives:
% 245.08/49.03  | 
% 245.08/49.03  | Case 1:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (22)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (1), (13), (22) are inconsistent by sub-proof #698.
% 245.08/49.03  | | 
% 245.08/49.03  | Case 2:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (23)  all_24_2 = e20 & op2(e23, e24) = e20
% 245.08/49.03  | | 
% 245.08/49.03  | | ALPHA: (23) implies:
% 245.08/49.03  | |   (24)  all_24_2 = e20
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.08/49.03  | |            (14), (16), (17), (18), (19), (20), (21), (24) are inconsistent
% 245.08/49.03  | |            by sub-proof #1307.
% 245.08/49.03  | | 
% 245.08/49.03  | End of split
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #668 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  op2(e24, e22) = all_16_10
% 245.08/49.03    (2)   ~ (e22 = e20)
% 245.08/49.03    (3)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 245.08/49.03           = e22)
% 245.08/49.03    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (5)   ~ (all_16_10 = e22)
% 245.08/49.03    (6)  op2(e23, e22) = e20
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | BETA: splitting (3) gives:
% 245.08/49.03  | 
% 245.08/49.03  | Case 1:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (7)  all_24_4 = e22 & op2(e24, e22) = e22
% 245.08/49.03  | | 
% 245.08/49.03  | | ALPHA: (7) implies:
% 245.08/49.03  | |   (8)  op2(e24, e22) = e22
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #774.
% 245.08/49.03  | | 
% 245.08/49.03  | Case 2:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (9)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1330.
% 245.08/49.03  | | 
% 245.08/49.03  | End of split
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #669 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_8 = e23 & op2(e22, e22) = e23
% 245.08/49.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (3)  op2(e22, e22) = all_4_2
% 245.08/49.03    (4)   ~ (all_4_2 = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (5)  op2(e22, e22) = e23
% 245.08/49.03  | 
% 245.08/49.03  | GROUND_INST: instantiating (2) with all_4_2, e23, e22, e22, simplifying with
% 245.08/49.03  |              (3), (5) gives:
% 245.08/49.03  |   (6)  all_4_2 = e23
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (4), (6) imply:
% 245.08/49.03  |   (7)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (7) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #670 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  op2(e24, e22) = all_16_10
% 245.08/49.03    (2)   ~ (all_16_10 = e20)
% 245.08/49.03    (3)   ~ (all_16_15 = e24)
% 245.08/49.03    (4)   ~ (e24 = e20)
% 245.08/49.03    (5)   ~ (e23 = e21)
% 245.08/49.03    (6)  op2(e23, e21) = e24
% 245.08/49.03    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.03           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.03           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.03    (8)  op2(e23, e23) = e21
% 245.08/49.03    (9)  all_24_2 = e22
% 245.08/49.03    (10)   ~ (e23 = e22)
% 245.08/49.03    (11)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_1 = e23 & op2(e24, e23)
% 245.08/49.03            = e23)
% 245.08/49.03    (12)   ~ (e22 = e20)
% 245.08/49.03    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (14)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.08/49.03            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.08/49.03            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.08/49.03    (15)   ~ (e23 = e20)
% 245.08/49.03    (16)  op2(e24, e23) = e22
% 245.08/49.03    (17)  op2(e24, e22) = e23
% 245.08/49.03    (18)   ~ (e24 = e21)
% 245.08/49.03    (19)   ~ (e22 = e21)
% 245.08/49.03    (20)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.08/49.03            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.08/49.03            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.08/49.03    (21)  op2(e23, e22) = e20
% 245.08/49.03    (22)  all_24_1 = e22
% 245.08/49.03    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.08/49.03            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.08/49.03            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.08/49.03    (24)   ~ (e21 = e20)
% 245.08/49.03    (25)  op2(e24, e21) = all_16_15
% 245.08/49.03    (26)   ~ (e24 = e22)
% 245.08/49.03    (27)  all_24_17 = e23
% 245.08/49.03    (28)   ~ (e24 = e23)
% 245.08/49.03    (29)  op2(e23, e21) = all_10_1
% 245.08/49.03    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.03    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | BETA: splitting (11) gives:
% 245.08/49.03  | 
% 245.08/49.03  | Case 1:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (32)  all_24_0 = e23 & op2(e24, e24) = e23
% 245.08/49.03  | | 
% 245.08/49.03  | | ALPHA: (32) implies:
% 245.08/49.03  | |   (33)  all_24_0 = e23
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.08/49.03  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.08/49.03  | |            (25), (26), (27), (28), (29), (30), (31), (33) are inconsistent
% 245.08/49.03  | |            by sub-proof #671.
% 245.08/49.03  | | 
% 245.08/49.03  | Case 2:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (34)  all_24_1 = e23 & op2(e24, e23) = e23
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (10), (13), (16), (34) are inconsistent by sub-proof #956.
% 245.08/49.03  | | 
% 245.08/49.03  | End of split
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #671 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  op2(e24, e22) = all_16_10
% 245.08/49.03    (2)   ~ (all_16_10 = e20)
% 245.08/49.03    (3)  all_24_0 = e23
% 245.08/49.03    (4)   ~ (all_16_15 = e24)
% 245.08/49.03    (5)   ~ (e24 = e20)
% 245.08/49.03    (6)   ~ (e23 = e21)
% 245.08/49.03    (7)  op2(e23, e21) = e24
% 245.08/49.03    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.03           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.03           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.03    (9)  op2(e23, e23) = e21
% 245.08/49.03    (10)  all_24_2 = e22
% 245.08/49.03    (11)   ~ (e23 = e22)
% 245.08/49.03    (12)   ~ (e22 = e20)
% 245.08/49.03    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (14)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.08/49.03            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.08/49.03            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.08/49.03    (15)   ~ (e23 = e20)
% 245.08/49.03    (16)  op2(e24, e23) = e22
% 245.08/49.03    (17)  op2(e24, e22) = e23
% 245.08/49.03    (18)   ~ (e24 = e21)
% 245.08/49.03    (19)   ~ (e22 = e21)
% 245.08/49.03    (20)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.08/49.03            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.08/49.03            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.08/49.03    (21)  op2(e23, e22) = e20
% 245.08/49.03    (22)  all_24_1 = e22
% 245.08/49.03    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.08/49.03            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.08/49.03            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.08/49.03    (24)   ~ (e21 = e20)
% 245.08/49.03    (25)  op2(e24, e21) = all_16_15
% 245.08/49.03    (26)   ~ (e24 = e22)
% 245.08/49.03    (27)  all_24_17 = e23
% 245.08/49.03    (28)   ~ (e24 = e23)
% 245.08/49.03    (29)  op2(e23, e21) = all_10_1
% 245.08/49.03    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.03    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | BETA: splitting (23) gives:
% 245.08/49.03  | 
% 245.08/49.03  | Case 1:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (32)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 245.08/49.03  | |             e23) = e24)
% 245.08/49.03  | | 
% 245.08/49.03  | | BETA: splitting (32) gives:
% 245.08/49.03  | | 
% 245.08/49.03  | | Case 1:
% 245.08/49.03  | | | 
% 245.08/49.03  | | |   (33)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.08/49.03  | | | 
% 245.08/49.03  | | | REF_CLOSE: (3), (28), (33) are inconsistent by sub-proof #677.
% 245.08/49.03  | | | 
% 245.08/49.03  | | Case 2:
% 245.08/49.03  | | | 
% 245.08/49.03  | | |   (34)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.08/49.03  | | | 
% 245.08/49.03  | | | ALPHA: (34) implies:
% 245.08/49.03  | | |   (35)  all_24_1 = e24
% 245.08/49.03  | | | 
% 245.08/49.03  | | | COMBINE_EQS: (22), (35) imply:
% 245.08/49.03  | | |   (36)  e24 = e22
% 245.08/49.03  | | | 
% 245.08/49.03  | | | REDUCE: (26), (36) imply:
% 245.08/49.03  | | |   (37)  $false
% 245.08/49.03  | | | 
% 245.08/49.03  | | | CLOSE: (37) is inconsistent.
% 245.08/49.03  | | | 
% 245.08/49.03  | | End of split
% 245.08/49.03  | | 
% 245.08/49.03  | Case 2:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (38)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 245.08/49.03  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.08/49.03  | | 
% 245.08/49.03  | | BETA: splitting (38) gives:
% 245.08/49.03  | | 
% 245.08/49.03  | | Case 1:
% 245.08/49.03  | | | 
% 245.08/49.03  | | |   (39)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.08/49.03  | | | 
% 245.08/49.03  | | | ALPHA: (39) implies:
% 245.08/49.03  | | |   (40)  op2(e24, e22) = e24
% 245.08/49.03  | | | 
% 245.08/49.03  | | | GROUND_INST: instantiating (13) with e23, e24, e22, e24, simplifying with
% 245.08/49.03  | | |              (17), (40) gives:
% 245.08/49.03  | | |   (41)  e24 = e23
% 245.08/49.03  | | | 
% 245.08/49.03  | | | REDUCE: (28), (41) imply:
% 245.08/49.03  | | |   (42)  $false
% 245.08/49.03  | | | 
% 245.08/49.03  | | | CLOSE: (42) is inconsistent.
% 245.08/49.03  | | | 
% 245.08/49.03  | | Case 2:
% 245.08/49.03  | | | 
% 245.08/49.03  | | |   (43)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 245.08/49.03  | | |           op2(e24, e20) = e24)
% 245.08/49.03  | | | 
% 245.08/49.03  | | | BETA: splitting (43) gives:
% 245.08/49.03  | | | 
% 245.08/49.03  | | | Case 1:
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | |   (44)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | | REF_CLOSE: (4), (13), (25), (44) are inconsistent by sub-proof #862.
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | Case 2:
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | |   (45)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | | ALPHA: (45) implies:
% 245.08/49.03  | | | |   (46)  all_24_16 = e24
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | | BETA: splitting (20) gives:
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | | Case 1:
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | |   (47)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 &
% 245.08/49.03  | | | | |           op2(e24, e23) = e20)
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | | BETA: splitting (47) gives:
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | | Case 1:
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | |   (48)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 245.08/49.03  | | | | | |            (18), (19), (21), (24), (26), (27), (28), (29), (30),
% 245.08/49.03  | | | | | |            (31), (48) are inconsistent by sub-proof #676.
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | Case 2:
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | |   (49)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | | REF_CLOSE: (12), (13), (16), (49) are inconsistent by sub-proof
% 245.08/49.03  | | | | | |            #911.
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | End of split
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | Case 2:
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | |   (50)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.08/49.03  | | | | |           op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) =
% 245.08/49.03  | | | | |           e20)
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | | BETA: splitting (50) gives:
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | | Case 1:
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | |   (51)  all_24_4 = e20 & op2(e24, e22) = e20
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | | REF_CLOSE: (1), (2), (13), (51) are inconsistent by sub-proof #909.
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | Case 2:
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | |   (52)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 &
% 245.08/49.03  | | | | | |           op2(e24, e20) = e20)
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | | BETA: splitting (52) gives:
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | | Case 1:
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | |   (53)  all_24_9 = e20 & op2(e24, e21) = e20
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | ALPHA: (53) implies:
% 245.08/49.03  | | | | | | |   (54)  all_24_9 = e20
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | BETA: splitting (14) gives:
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | Case 1:
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | |   (55)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21
% 245.08/49.03  | | | | | | | |           & op2(e24, e23) = e21)
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | | BETA: splitting (55) gives:
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | | Case 1:
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | |   (56)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | REF_CLOSE: (3), (6), (7), (9), (10), (11), (13), (15), (18),
% 245.08/49.03  | | | | | | | | |            (21), (26), (27), (28), (29), (30), (31), (56) are
% 245.08/49.03  | | | | | | | | |            inconsistent by sub-proof #675.
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | Case 2:
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | |   (57)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | REF_CLOSE: (13), (16), (19), (57) are inconsistent by
% 245.08/49.03  | | | | | | | | |            sub-proof #866.
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | End of split
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | Case 2:
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | |   (58)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21
% 245.08/49.03  | | | | | | | |           & op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24,
% 245.08/49.03  | | | | | | | |             e20) = e21)
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | | BETA: splitting (58) gives:
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | | Case 1:
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | |   (59)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | ALPHA: (59) implies:
% 245.08/49.03  | | | | | | | | |   (60)  op2(e24, e22) = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | GROUND_INST: instantiating (13) with e21, e23, e22, e24,
% 245.08/49.03  | | | | | | | | |              simplifying with (17), (60) gives:
% 245.08/49.03  | | | | | | | | |   (61)  e23 = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | COMBINE_EQS: (27), (61) imply:
% 245.08/49.03  | | | | | | | | |   (62)  all_24_17 = e21
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | REF_CLOSE: (6), (7), (9), (10), (11), (13), (15), (18), (21),
% 245.08/49.03  | | | | | | | | |            (26), (28), (29), (30), (31), (62) are inconsistent
% 245.08/49.03  | | | | | | | | |            by sub-proof #874.
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | Case 2:
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | |   (63)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 =
% 245.08/49.03  | | | | | | | | |           e21 & op2(e24, e20) = e21)
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | | REF_CLOSE: (18), (24), (46), (54), (63) are inconsistent by
% 245.08/49.03  | | | | | | | | |            sub-proof #672.
% 245.08/49.03  | | | | | | | | | 
% 245.08/49.03  | | | | | | | | End of split
% 245.08/49.03  | | | | | | | | 
% 245.08/49.03  | | | | | | | End of split
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | Case 2:
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | |   (64)  all_24_16 = e20 & op2(e24, e20) = e20
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | ALPHA: (64) implies:
% 245.08/49.03  | | | | | | |   (65)  all_24_16 = e20
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | COMBINE_EQS: (46), (65) imply:
% 245.08/49.03  | | | | | | |   (66)  e24 = e20
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | REDUCE: (5), (66) imply:
% 245.08/49.03  | | | | | | |   (67)  $false
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | | CLOSE: (67) is inconsistent.
% 245.08/49.03  | | | | | | | 
% 245.08/49.03  | | | | | | End of split
% 245.08/49.03  | | | | | | 
% 245.08/49.03  | | | | | End of split
% 245.08/49.03  | | | | | 
% 245.08/49.03  | | | | End of split
% 245.08/49.03  | | | | 
% 245.08/49.03  | | | End of split
% 245.08/49.03  | | | 
% 245.08/49.03  | | End of split
% 245.08/49.03  | | 
% 245.08/49.03  | End of split
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #672 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_16 = e24
% 245.08/49.03    (2)   ~ (e24 = e21)
% 245.08/49.03    (3)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20)
% 245.08/49.03           = e21)
% 245.08/49.03    (4)   ~ (e21 = e20)
% 245.08/49.03    (5)  all_24_9 = e20
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | BETA: splitting (3) gives:
% 245.08/49.03  | 
% 245.08/49.03  | Case 1:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (6)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.08/49.03  | | 
% 245.08/49.03  | | ALPHA: (6) implies:
% 245.08/49.03  | |   (7)  all_24_9 = e21
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #674.
% 245.08/49.03  | | 
% 245.08/49.03  | Case 2:
% 245.08/49.03  | | 
% 245.08/49.03  | |   (8)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.08/49.03  | | 
% 245.08/49.03  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #673.
% 245.08/49.03  | | 
% 245.08/49.03  | End of split
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #673 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.08/49.03    (2)  all_24_16 = e24
% 245.08/49.03    (3)   ~ (e24 = e21)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (4)  all_24_16 = e21
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (2), (4) imply:
% 245.08/49.03  |   (5)  e24 = e21
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (3), (5) imply:
% 245.08/49.03  |   (6)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (6) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #674 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_9 = e21
% 245.08/49.03    (2)  all_24_9 = e20
% 245.08/49.03    (3)   ~ (e21 = e20)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (1), (2) imply:
% 245.08/49.03  |   (4)  e21 = e20
% 245.08/49.03  | 
% 245.08/49.03  | SIMP: (4) implies:
% 245.08/49.03  |   (5)  e21 = e20
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (3), (5) imply:
% 245.08/49.03  |   (6)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (6) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #675 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_0 = e23
% 245.08/49.03    (2)   ~ (e23 = e21)
% 245.08/49.03    (3)  op2(e23, e21) = e24
% 245.08/49.03    (4)  op2(e23, e23) = e21
% 245.08/49.03    (5)  all_24_2 = e22
% 245.08/49.03    (6)   ~ (e23 = e22)
% 245.08/49.03    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (8)   ~ (e23 = e20)
% 245.08/49.03    (9)   ~ (e24 = e21)
% 245.08/49.03    (10)  op2(e23, e22) = e20
% 245.08/49.03    (11)   ~ (e24 = e22)
% 245.08/49.03    (12)  all_24_17 = e23
% 245.08/49.03    (13)   ~ (e24 = e23)
% 245.08/49.03    (14)  op2(e23, e21) = all_10_1
% 245.08/49.03    (15)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.08/49.03    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.03    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (15) implies:
% 245.08/49.03  |   (18)  all_24_0 = e21
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (1), (18) imply:
% 245.08/49.03  |   (19)  e23 = e21
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (12), (19) imply:
% 245.08/49.03  |   (20)  all_24_17 = e21
% 245.08/49.03  | 
% 245.08/49.03  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.08/49.03  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #676 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_0 = e23
% 245.08/49.03    (2)   ~ (e24 = e20)
% 245.08/49.03    (3)   ~ (e23 = e21)
% 245.08/49.03    (4)  op2(e23, e21) = e24
% 245.08/49.03    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.03           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.03           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.03    (6)  op2(e23, e23) = e21
% 245.08/49.03    (7)  all_24_2 = e22
% 245.08/49.03    (8)   ~ (e23 = e22)
% 245.08/49.03    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (10)   ~ (e23 = e20)
% 245.08/49.03    (11)   ~ (e24 = e21)
% 245.08/49.03    (12)   ~ (e22 = e21)
% 245.08/49.03    (13)  op2(e23, e22) = e20
% 245.08/49.03    (14)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.08/49.03    (15)   ~ (e21 = e20)
% 245.08/49.03    (16)   ~ (e24 = e22)
% 245.08/49.03    (17)  all_24_17 = e23
% 245.08/49.03    (18)   ~ (e24 = e23)
% 245.08/49.03    (19)  op2(e23, e21) = all_10_1
% 245.08/49.03    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.03            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.03            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.03    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.03            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.03            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (14) implies:
% 245.08/49.03  |   (22)  all_24_0 = e20
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (1), (22) imply:
% 245.08/49.03  |   (23)  e23 = e20
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (17), (23) imply:
% 245.08/49.03  |   (24)  all_24_17 = e20
% 245.08/49.03  | 
% 245.08/49.03  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.08/49.03  |            (15), (16), (18), (19), (20), (21), (24) are inconsistent by
% 245.08/49.03  |            sub-proof #888.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #677 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.08/49.03    (2)  all_24_0 = e23
% 245.08/49.03    (3)   ~ (e24 = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (4)  all_24_0 = e24
% 245.08/49.03  | 
% 245.08/49.03  | COMBINE_EQS: (2), (4) imply:
% 245.08/49.03  |   (5)  e24 = e23
% 245.08/49.03  | 
% 245.08/49.03  | SIMP: (5) implies:
% 245.08/49.03  |   (6)  e24 = e23
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (3), (6) imply:
% 245.08/49.03  |   (7)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (7) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #678 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_16 = e23 & op2(e24, e20) = e23
% 245.08/49.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (3)  op2(e24, e20) = all_16_20
% 245.08/49.03    (4)   ~ (all_16_20 = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (5)  op2(e24, e20) = e23
% 245.08/49.03  | 
% 245.08/49.03  | GROUND_INST: instantiating (2) with all_16_20, e23, e20, e24, simplifying with
% 245.08/49.03  |              (3), (5) gives:
% 245.08/49.03  |   (6)  all_16_20 = e23
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (4), (6) imply:
% 245.08/49.03  |   (7)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (7) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #679 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_19 = e23 & op2(e21, e20) = e23
% 245.08/49.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (3)  op2(e21, e20) = all_16_23
% 245.08/49.03    (4)   ~ (all_16_23 = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (5)  op2(e21, e20) = e23
% 245.08/49.03  | 
% 245.08/49.03  | GROUND_INST: instantiating (2) with all_16_23, e23, e20, e21, simplifying with
% 245.08/49.03  |              (3), (5) gives:
% 245.08/49.03  |   (6)  all_16_23 = e23
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (4), (6) imply:
% 245.08/49.03  |   (7)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (7) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #680 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)  all_24_15 = e23 & op2(e21, e21) = e23
% 245.08/49.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (3)  op2(e21, e21) = all_6_2
% 245.08/49.03    (4)   ~ (all_6_2 = e23)
% 245.08/49.03  
% 245.08/49.03  Begin of proof
% 245.08/49.03  | 
% 245.08/49.03  | ALPHA: (1) implies:
% 245.08/49.03  |   (5)  op2(e21, e21) = e23
% 245.08/49.03  | 
% 245.08/49.03  | GROUND_INST: instantiating (2) with all_6_2, e23, e21, e21, simplifying with
% 245.08/49.03  |              (3), (5) gives:
% 245.08/49.03  |   (6)  all_6_2 = e23
% 245.08/49.03  | 
% 245.08/49.03  | REDUCE: (4), (6) imply:
% 245.08/49.03  |   (7)  $false
% 245.08/49.03  | 
% 245.08/49.03  | CLOSE: (7) is inconsistent.
% 245.08/49.03  | 
% 245.08/49.03  End of proof
% 245.08/49.03  
% 245.08/49.03  Sub-proof #681 shows that the following formulas are inconsistent:
% 245.08/49.03  ----------------------------------------------------------------
% 245.08/49.03    (1)   ~ (e24 = e20)
% 245.08/49.03    (2)   ~ (e23 = e21)
% 245.08/49.03    (3)  op2(e23, e21) = e24
% 245.08/49.03    (4)  op2(e23, e23) = e21
% 245.08/49.03    (5)  all_24_2 = e22
% 245.08/49.03    (6)  all_24_19 = e22
% 245.08/49.03    (7)   ~ (e23 = e22)
% 245.08/49.03    (8)   ~ (e22 = e20)
% 245.08/49.03    (9)  all_24_15 = e20
% 245.08/49.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.03            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.03    (11)   ~ (e23 = e20)
% 245.08/49.03    (12)   ~ (e24 = e21)
% 245.08/49.03    (13)   ~ (e22 = e21)
% 245.08/49.03    (14)  op2(e23, e22) = e20
% 245.08/49.03    (15)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_19 = e21 & op2(e21,
% 245.08/49.03              e20) = e21)
% 245.08/49.03    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.03            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.03            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.03    (17)   ~ (e21 = e20)
% 245.08/49.03    (18)   ~ (e24 = e22)
% 245.08/49.03    (19)   ~ (e24 = e23)
% 245.08/49.03    (20)  op2(e23, e21) = all_10_1
% 245.08/49.04    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (22)  all_24_5 = e20
% 245.08/49.04    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (15) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (24)  all_24_15 = e21 & op2(e21, e21) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | ALPHA: (24) implies:
% 245.08/49.04  | |   (25)  all_24_15 = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (9), (17), (25) are inconsistent by sub-proof #787.
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (26)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 245.08/49.04  | |            (14), (16), (18), (19), (20), (21), (22), (23), (26) are
% 245.08/49.04  | |            inconsistent by sub-proof #682.
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #682 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)   ~ (e24 = e20)
% 245.08/49.04    (2)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.08/49.04    (3)   ~ (e23 = e21)
% 245.08/49.04    (4)  op2(e23, e21) = e24
% 245.08/49.04    (5)  op2(e23, e23) = e21
% 245.08/49.04    (6)  all_24_2 = e22
% 245.08/49.04    (7)  all_24_19 = e22
% 245.08/49.04    (8)   ~ (e23 = e22)
% 245.08/49.04    (9)   ~ (e22 = e20)
% 245.08/49.04    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (11)   ~ (e23 = e20)
% 245.08/49.04    (12)   ~ (e24 = e21)
% 245.08/49.04    (13)   ~ (e22 = e21)
% 245.08/49.04    (14)  op2(e23, e22) = e20
% 245.08/49.04    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (16)   ~ (e24 = e22)
% 245.08/49.04    (17)   ~ (e24 = e23)
% 245.08/49.04    (18)  op2(e23, e21) = all_10_1
% 245.08/49.04    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (20)  all_24_5 = e20
% 245.08/49.04    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | ALPHA: (2) implies:
% 245.08/49.04  |   (22)  all_24_19 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (7), (22) imply:
% 245.08/49.04  |   (23)  e22 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (6), (23) imply:
% 245.08/49.04  |   (24)  all_24_2 = e21
% 245.08/49.04  | 
% 245.08/49.04  | REF_CLOSE: (1), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (15),
% 245.08/49.04  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.08/49.04  |            sub-proof #1298.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #683 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_24 = e20
% 245.08/49.04    (2)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 245.08/49.04             e20) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 =
% 245.08/49.04           e24 & op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.08/49.04    (3)   ~ (e24 = e20)
% 245.08/49.04    (4)   ~ (e23 = e21)
% 245.08/49.04    (5)  op2(e23, e21) = e24
% 245.08/49.04    (6)  op2(e23, e23) = e21
% 245.08/49.04    (7)  op2(e22, e20) = e22
% 245.08/49.04    (8)  all_24_2 = e22
% 245.08/49.04    (9)  all_24_19 = e22
% 245.08/49.04    (10)   ~ (e23 = e22)
% 245.08/49.04    (11)   ~ (e22 = e20)
% 245.08/49.04    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (13)   ~ (e23 = e20)
% 245.08/49.04    (14)   ~ (e24 = e21)
% 245.08/49.04    (15)   ~ (e22 = e21)
% 245.08/49.04    (16)  op2(e23, e22) = e20
% 245.08/49.04    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (18)   ~ (e21 = e20)
% 245.08/49.04    (19)   ~ (e24 = e22)
% 245.08/49.04    (20)   ~ (e24 = e23)
% 245.08/49.04    (21)  all_24_18 = e22
% 245.08/49.04    (22)  op2(e23, e21) = all_10_1
% 245.08/49.04    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (24)  all_24_5 = e20
% 245.08/49.04    (25)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.08/49.04              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 245.08/49.04            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.08/49.04    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (25) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (27)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 245.08/49.04  | |           op2(e23, e20) = e21)
% 245.08/49.04  | | 
% 245.08/49.04  | | BETA: splitting (27) gives:
% 245.08/49.04  | | 
% 245.08/49.04  | | Case 1:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (28)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | ALPHA: (28) implies:
% 245.08/49.04  | | |   (29)  all_24_16 = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | BETA: splitting (2) gives:
% 245.08/49.04  | | | 
% 245.08/49.04  | | | Case 1:
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | |   (30)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 &
% 245.08/49.04  | | | |           op2(e23, e20) = e24)
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | | REF_CLOSE: (4), (5), (6), (8), (10), (12), (13), (14), (16), (20), (22),
% 245.08/49.04  | | | |            (26), (29), (30) are inconsistent by sub-proof #686.
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | Case 2:
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | |   (31)  (all_24_18 = e24 & op2(e22, e20) = e24) | (all_24_19 = e24 &
% 245.08/49.04  | | | |           op2(e21, e20) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | | BETA: splitting (31) gives:
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | | Case 1:
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | |   (32)  all_24_18 = e24 & op2(e22, e20) = e24
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | | REF_CLOSE: (19), (21), (32) are inconsistent by sub-proof #802.
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | Case 2:
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | |   (33)  (all_24_19 = e24 & op2(e21, e20) = e24) | (all_24_24 = e24 &
% 245.08/49.04  | | | | |           op2(e20, e20) = e24)
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | | BETA: splitting (33) gives:
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | | Case 1:
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | |   (34)  all_24_19 = e24 & op2(e21, e20) = e24
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | | ALPHA: (34) implies:
% 245.08/49.04  | | | | | |   (35)  all_24_19 = e24
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | | COMBINE_EQS: (9), (35) imply:
% 245.08/49.04  | | | | | |   (36)  e24 = e22
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | | REDUCE: (19), (36) imply:
% 245.08/49.04  | | | | | |   (37)  $false
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | | CLOSE: (37) is inconsistent.
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | Case 2:
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | |   (38)  all_24_24 = e24 & op2(e20, e20) = e24
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | | REF_CLOSE: (1), (3), (38) are inconsistent by sub-proof #768.
% 245.08/49.04  | | | | | | 
% 245.08/49.04  | | | | | End of split
% 245.08/49.04  | | | | | 
% 245.08/49.04  | | | | End of split
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | End of split
% 245.08/49.04  | | | 
% 245.08/49.04  | | Case 2:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (39)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | ALPHA: (39) implies:
% 245.08/49.04  | | |   (40)  all_24_17 = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | REF_CLOSE: (4), (5), (6), (8), (10), (12), (13), (14), (16), (19), (20),
% 245.08/49.04  | | |            (22), (23), (26), (40) are inconsistent by sub-proof #874.
% 245.08/49.04  | | | 
% 245.08/49.04  | | End of split
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (41)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 245.08/49.04  | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.08/49.04  | | 
% 245.08/49.04  | | BETA: splitting (41) gives:
% 245.08/49.04  | | 
% 245.08/49.04  | | Case 1:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (42)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | REF_CLOSE: (7), (12), (15), (42) are inconsistent by sub-proof #740.
% 245.08/49.04  | | | 
% 245.08/49.04  | | Case 2:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (43)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 245.08/49.04  | | |           op2(e20, e20) = e21)
% 245.08/49.04  | | | 
% 245.08/49.04  | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 245.08/49.04  | | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24),
% 245.08/49.04  | | |            (26), (43) are inconsistent by sub-proof #684.
% 245.08/49.04  | | | 
% 245.08/49.04  | | End of split
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #684 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20,
% 245.08/49.04             e20) = e21)
% 245.08/49.04    (2)  all_24_24 = e20
% 245.08/49.04    (3)   ~ (e24 = e20)
% 245.08/49.04    (4)   ~ (e23 = e21)
% 245.08/49.04    (5)  op2(e23, e21) = e24
% 245.08/49.04    (6)  op2(e23, e23) = e21
% 245.08/49.04    (7)  all_24_2 = e22
% 245.08/49.04    (8)  all_24_19 = e22
% 245.08/49.04    (9)   ~ (e23 = e22)
% 245.08/49.04    (10)   ~ (e22 = e20)
% 245.08/49.04    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (12)   ~ (e23 = e20)
% 245.08/49.04    (13)   ~ (e24 = e21)
% 245.08/49.04    (14)   ~ (e22 = e21)
% 245.08/49.04    (15)  op2(e23, e22) = e20
% 245.08/49.04    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (17)   ~ (e21 = e20)
% 245.08/49.04    (18)   ~ (e24 = e22)
% 245.08/49.04    (19)   ~ (e24 = e23)
% 245.08/49.04    (20)  op2(e23, e21) = all_10_1
% 245.08/49.04    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (22)  all_24_5 = e20
% 245.08/49.04    (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (1) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (24)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | ALPHA: (24) implies:
% 245.08/49.04  | |   (25)  all_24_19 = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.08/49.04  | |            (15), (16), (18), (19), (20), (21), (22), (23), (25) are
% 245.08/49.04  | |            inconsistent by sub-proof #685.
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (26)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (2), (17), (26) are inconsistent by sub-proof #736.
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #685 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)   ~ (e24 = e20)
% 245.08/49.04    (2)   ~ (e23 = e21)
% 245.08/49.04    (3)  op2(e23, e21) = e24
% 245.08/49.04    (4)  op2(e23, e23) = e21
% 245.08/49.04    (5)  all_24_2 = e22
% 245.08/49.04    (6)  all_24_19 = e22
% 245.08/49.04    (7)   ~ (e23 = e22)
% 245.08/49.04    (8)   ~ (e22 = e20)
% 245.08/49.04    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (10)   ~ (e23 = e20)
% 245.08/49.04    (11)   ~ (e24 = e21)
% 245.08/49.04    (12)   ~ (e22 = e21)
% 245.08/49.04    (13)  op2(e23, e22) = e20
% 245.08/49.04    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (15)   ~ (e24 = e22)
% 245.08/49.04    (16)   ~ (e24 = e23)
% 245.08/49.04    (17)  op2(e23, e21) = all_10_1
% 245.08/49.04    (18)  all_24_19 = e21
% 245.08/49.04    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (20)  all_24_5 = e20
% 245.08/49.04    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (6), (18) imply:
% 245.08/49.04  |   (22)  e22 = e21
% 245.08/49.04  | 
% 245.08/49.04  | SIMP: (22) implies:
% 245.08/49.04  |   (23)  e22 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (5), (23) imply:
% 245.08/49.04  |   (24)  all_24_2 = e21
% 245.08/49.04  | 
% 245.08/49.04  | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.08/49.04  |            (15), (16), (17), (19), (20), (21), (24) are inconsistent by
% 245.08/49.04  |            sub-proof #1298.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #686 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)   ~ (e23 = e21)
% 245.08/49.04    (2)  op2(e23, e21) = e24
% 245.08/49.04    (3)  op2(e23, e23) = e21
% 245.08/49.04    (4)  all_24_2 = e22
% 245.08/49.04    (5)   ~ (e23 = e22)
% 245.08/49.04    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (7)   ~ (e23 = e20)
% 245.08/49.04    (8)   ~ (e24 = e21)
% 245.08/49.04    (9)  op2(e23, e22) = e20
% 245.08/49.04    (10)   ~ (e24 = e23)
% 245.08/49.04    (11)  op2(e23, e21) = all_10_1
% 245.08/49.04    (12)  (all_24_16 = e24 & op2(e24, e20) = e24) | (all_24_17 = e24 & op2(e23,
% 245.08/49.04              e20) = e24)
% 245.08/49.04    (13)  all_24_16 = e21
% 245.08/49.04    (14)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (12) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (15)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (8), (13), (15) are inconsistent by sub-proof #687.
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (16)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.08/49.04  | | 
% 245.08/49.04  | | ALPHA: (16) implies:
% 245.08/49.04  | |   (17)  all_24_17 = e24
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (14), (17)
% 245.08/49.04  | |            are inconsistent by sub-proof #733.
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #687 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.08/49.04    (2)  all_24_16 = e21
% 245.08/49.04    (3)   ~ (e24 = e21)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | ALPHA: (1) implies:
% 245.08/49.04  |   (4)  all_24_16 = e24
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (2), (4) imply:
% 245.08/49.04  |   (5)  e24 = e21
% 245.08/49.04  | 
% 245.08/49.04  | REDUCE: (3), (5) imply:
% 245.08/49.04  |   (6)  $false
% 245.08/49.04  | 
% 245.08/49.04  | CLOSE: (6) is inconsistent.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #688 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_11 = e22
% 245.08/49.04    (2)  op2(e22, unit2) = e22
% 245.08/49.04    (3)  op2(e23, unit2) = e23
% 245.08/49.04    (4)  all_24_8 = e24
% 245.08/49.04    (5)   ~ (e24 = e20)
% 245.08/49.04    (6)   ~ (e23 = e21)
% 245.08/49.04    (7)  all_24_6 = e23
% 245.08/49.04    (8)  op2(e23, e21) = e24
% 245.08/49.04    (9)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.04           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.04           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.04    (10)  op2(e23, e23) = e21
% 245.08/49.04    (11)  all_24_2 = e22
% 245.08/49.04    (12)   ~ (e23 = e22)
% 245.08/49.04    (13)   ~ (e22 = e20)
% 245.08/49.04    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (15)  op2(e23, e24) = e22
% 245.08/49.04    (16)  all_24_21 = e23
% 245.08/49.04    (17)   ~ (e23 = e20)
% 245.08/49.04    (18)  op2(e24, e23) = e22
% 245.08/49.04    (19)   ~ (e24 = e21)
% 245.08/49.04    (20)   ~ (e22 = e21)
% 245.08/49.04    (21)  op2(e23, e22) = e20
% 245.08/49.04    (22)  all_24_13 = e24
% 245.08/49.04    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.08/49.04    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (25)   ~ (e21 = e20)
% 245.08/49.04    (26)   ~ (e24 = e22)
% 245.08/49.04    (27)  all_24_17 = e23
% 245.08/49.04    (28)   ~ (e24 = e23)
% 245.08/49.04    (29)  op2(e23, e21) = all_10_1
% 245.08/49.04    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (31)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 245.08/49.04            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 245.08/49.04            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 245.08/49.04    (32)  all_24_5 = e20
% 245.08/49.04    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.08/49.04            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.08/49.04            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.08/49.04    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (31) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (35)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 245.08/49.04  | |             e23) = e21)
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 245.08/49.04  | |            (17), (18), (19), (20), (21), (22), (25), (26), (27), (28), (29),
% 245.08/49.04  | |            (30), (33), (34), (35) are inconsistent by sub-proof #691.
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (36)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 245.08/49.04  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 245.08/49.04  | | 
% 245.08/49.04  | | BETA: splitting (36) gives:
% 245.08/49.04  | | 
% 245.08/49.04  | | Case 1:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (37)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.08/49.04  | | | 
% 245.08/49.04  | | | REF_CLOSE: (4), (19), (37) are inconsistent by sub-proof #690.
% 245.08/49.04  | | | 
% 245.08/49.04  | | Case 2:
% 245.08/49.04  | | | 
% 245.08/49.04  | | |   (38)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 245.08/49.04  | | |           op2(e22, e20) = e21)
% 245.08/49.04  | | | 
% 245.08/49.04  | | | BETA: splitting (38) gives:
% 245.08/49.04  | | | 
% 245.08/49.04  | | | Case 1:
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | |   (39)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | | REF_CLOSE: (1), (5), (6), (8), (10), (11), (12), (13), (14), (17), (19),
% 245.08/49.04  | | | |            (20), (21), (24), (26), (28), (29), (30), (32), (34), (39)
% 245.08/49.04  | | | |            are inconsistent by sub-proof #689.
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | Case 2:
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | |   (40)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | | REF_CLOSE: (2), (3), (8), (12), (14), (15), (17), (20), (21), (23),
% 245.08/49.04  | | | |            (28), (29), (40) are inconsistent by sub-proof #797.
% 245.08/49.04  | | | | 
% 245.08/49.04  | | | End of split
% 245.08/49.04  | | | 
% 245.08/49.04  | | End of split
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #689 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_11 = e22
% 245.08/49.04    (2)   ~ (e24 = e20)
% 245.08/49.04    (3)   ~ (e23 = e21)
% 245.08/49.04    (4)  op2(e23, e21) = e24
% 245.08/49.04    (5)  op2(e23, e23) = e21
% 245.08/49.04    (6)  all_24_2 = e22
% 245.08/49.04    (7)   ~ (e23 = e22)
% 245.08/49.04    (8)   ~ (e22 = e20)
% 245.08/49.04    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (10)   ~ (e23 = e20)
% 245.08/49.04    (11)   ~ (e24 = e21)
% 245.08/49.04    (12)   ~ (e22 = e21)
% 245.08/49.04    (13)  op2(e23, e22) = e20
% 245.08/49.04    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (15)   ~ (e24 = e22)
% 245.08/49.04    (16)   ~ (e24 = e23)
% 245.08/49.04    (17)  op2(e23, e21) = all_10_1
% 245.08/49.04    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (19)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.08/49.04    (20)  all_24_5 = e20
% 245.08/49.04    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | ALPHA: (19) implies:
% 245.08/49.04  |   (22)  all_24_11 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (1), (22) imply:
% 245.08/49.04  |   (23)  e22 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (6), (23) imply:
% 245.08/49.04  |   (24)  all_24_2 = e21
% 245.08/49.04  | 
% 245.08/49.04  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.08/49.04  |            (15), (16), (17), (18), (20), (21), (24) are inconsistent by
% 245.08/49.04  |            sub-proof #1298.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #690 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.08/49.04    (2)  all_24_8 = e24
% 245.08/49.04    (3)   ~ (e24 = e21)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | ALPHA: (1) implies:
% 245.08/49.04  |   (4)  all_24_8 = e21
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (2), (4) imply:
% 245.08/49.04  |   (5)  e24 = e21
% 245.08/49.04  | 
% 245.08/49.04  | REDUCE: (3), (5) imply:
% 245.08/49.04  |   (6)  $false
% 245.08/49.04  | 
% 245.08/49.04  | CLOSE: (6) is inconsistent.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #691 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)   ~ (e24 = e20)
% 245.08/49.04    (2)   ~ (e23 = e21)
% 245.08/49.04    (3)  all_24_6 = e23
% 245.08/49.04    (4)  op2(e23, e21) = e24
% 245.08/49.04    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.04           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.04           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.04    (6)  op2(e23, e23) = e21
% 245.08/49.04    (7)  all_24_2 = e22
% 245.08/49.04    (8)   ~ (e23 = e22)
% 245.08/49.04    (9)   ~ (e22 = e20)
% 245.08/49.04    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (11)  all_24_21 = e23
% 245.08/49.04    (12)   ~ (e23 = e20)
% 245.08/49.04    (13)  op2(e24, e23) = e22
% 245.08/49.04    (14)   ~ (e24 = e21)
% 245.08/49.04    (15)   ~ (e22 = e21)
% 245.08/49.04    (16)  op2(e23, e22) = e20
% 245.08/49.04    (17)  all_24_13 = e24
% 245.08/49.04    (18)   ~ (e21 = e20)
% 245.08/49.04    (19)   ~ (e24 = e22)
% 245.08/49.04    (20)  all_24_17 = e23
% 245.08/49.04    (21)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 245.08/49.04            = e21)
% 245.08/49.04    (22)   ~ (e24 = e23)
% 245.08/49.04    (23)  op2(e23, e21) = all_10_1
% 245.08/49.04    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.04    (25)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.08/49.04            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.08/49.04            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.08/49.04    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.04            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.04            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | BETA: splitting (21) gives:
% 245.08/49.04  | 
% 245.08/49.04  | Case 1:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (27)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (12), (14), (16), (19), (20),
% 245.08/49.04  | |            (22), (23), (24), (26), (27) are inconsistent by sub-proof #704.
% 245.08/49.04  | | 
% 245.08/49.04  | Case 2:
% 245.08/49.04  | | 
% 245.08/49.04  | |   (28)  all_24_7 = e21 & op2(e22, e23) = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | ALPHA: (28) implies:
% 245.08/49.04  | |   (29)  all_24_7 = e21
% 245.08/49.04  | | 
% 245.08/49.04  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.08/49.04  | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 245.08/49.04  | |            (26), (29) are inconsistent by sub-proof #745.
% 245.08/49.04  | | 
% 245.08/49.04  | End of split
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #692 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)  all_24_8 = e24
% 245.08/49.04    (2)  all_24_8 = e22
% 245.08/49.04    (3)   ~ (e24 = e22)
% 245.08/49.04  
% 245.08/49.04  Begin of proof
% 245.08/49.04  | 
% 245.08/49.04  | COMBINE_EQS: (1), (2) imply:
% 245.08/49.04  |   (4)  e24 = e22
% 245.08/49.04  | 
% 245.08/49.04  | SIMP: (4) implies:
% 245.08/49.04  |   (5)  e24 = e22
% 245.08/49.04  | 
% 245.08/49.04  | REDUCE: (3), (5) imply:
% 245.08/49.04  |   (6)  $false
% 245.08/49.04  | 
% 245.08/49.04  | CLOSE: (6) is inconsistent.
% 245.08/49.04  | 
% 245.08/49.04  End of proof
% 245.08/49.04  
% 245.08/49.04  Sub-proof #693 shows that the following formulas are inconsistent:
% 245.08/49.04  ----------------------------------------------------------------
% 245.08/49.04    (1)   ~ (e24 = e20)
% 245.08/49.04    (2)   ~ (e23 = e21)
% 245.08/49.04    (3)  all_24_6 = e23
% 245.08/49.04    (4)  op2(e23, e21) = e24
% 245.08/49.04    (5)   ~ (all_16_1 = e21)
% 245.08/49.04    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.04           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.04           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.04    (7)  op2(e23, e23) = e21
% 245.08/49.04    (8)  all_24_2 = e22
% 245.08/49.04    (9)   ~ (e23 = e22)
% 245.08/49.04    (10)   ~ (e22 = e20)
% 245.08/49.04    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.04            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.04    (12)  all_24_21 = e23
% 245.08/49.04    (13)   ~ (e23 = e20)
% 245.08/49.04    (14)  op2(e24, e23) = e22
% 245.08/49.04    (15)   ~ (e24 = e21)
% 245.08/49.04    (16)   ~ (e22 = e21)
% 245.08/49.04    (17)   ~ (all_16_1 = e20)
% 245.08/49.04    (18)  op2(e23, e22) = e20
% 245.08/49.04    (19)   ~ (all_16_1 = e23)
% 245.08/49.04    (20)  all_24_1 = e22
% 245.08/49.04    (21)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 245.08/49.04            = e22)
% 245.08/49.04    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.08/49.04            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.08/49.04    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.04            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.04            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.04    (24)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.08/49.04    (25)   ~ (e21 = e20)
% 245.08/49.04    (26)   ~ (e24 = e22)
% 245.08/49.04    (27)  all_24_17 = e23
% 245.08/49.04    (28)  op2(e23, e24) = all_16_1
% 245.08/49.04    (29)   ~ (e24 = e23)
% 245.08/49.04    (30)  op2(e23, e21) = all_10_1
% 245.08/49.04    (31)  all_20_5 = all_16_1
% 245.08/49.04    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.04            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.04            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.08/49.05            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.08/49.05            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.08/49.05    (34)  all_24_3 = e21
% 245.08/49.05    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | BETA: splitting (21) gives:
% 245.08/49.05  | 
% 245.08/49.05  | Case 1:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (36)  all_24_6 = e22 & op2(e22, e24) = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (11), (13), (17), (18), (19), (24),
% 245.08/49.05  | |            (27), (28), (29), (30), (31), (35), (36) are inconsistent by
% 245.08/49.05  | |            sub-proof #694.
% 245.08/49.05  | | 
% 245.08/49.05  | Case 2:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (37)  all_24_7 = e22 & op2(e22, e23) = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | ALPHA: (37) implies:
% 245.08/49.05  | |   (38)  all_24_7 = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.08/49.05  | |            (15), (16), (18), (20), (22), (23), (25), (26), (27), (29), (30),
% 245.08/49.05  | |            (32), (33), (34), (35), (38) are inconsistent by sub-proof #812.
% 245.08/49.05  | | 
% 245.08/49.05  | End of split
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #694 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_6 = e22 & op2(e22, e24) = e22
% 245.08/49.05    (2)   ~ (e23 = e21)
% 245.08/49.05    (3)  all_24_6 = e23
% 245.08/49.05    (4)  op2(e23, e21) = e24
% 245.08/49.05    (5)   ~ (all_16_1 = e21)
% 245.08/49.05    (6)  op2(e23, e23) = e21
% 245.08/49.05    (7)   ~ (e23 = e22)
% 245.08/49.05    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (9)   ~ (e23 = e20)
% 245.08/49.05    (10)   ~ (all_16_1 = e20)
% 245.08/49.05    (11)  op2(e23, e22) = e20
% 245.08/49.05    (12)   ~ (all_16_1 = e23)
% 245.08/49.05    (13)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.08/49.05    (14)  all_24_17 = e23
% 245.08/49.05    (15)  op2(e23, e24) = all_16_1
% 245.08/49.05    (16)   ~ (e24 = e23)
% 245.08/49.05    (17)  op2(e23, e21) = all_10_1
% 245.08/49.05    (18)  all_20_5 = all_16_1
% 245.08/49.05    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (1) implies:
% 245.08/49.05  |   (20)  all_24_6 = e22
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (3), (20) imply:
% 245.08/49.05  |   (21)  e23 = e22
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (14), (21) imply:
% 245.08/49.05  |   (22)  all_24_17 = e22
% 245.08/49.05  | 
% 245.08/49.05  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (15),
% 245.08/49.05  |            (16), (17), (18), (19), (22) are inconsistent by sub-proof #855.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #695 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)   ~ (e24 = e20)
% 245.08/49.05    (2)   ~ (e23 = e21)
% 245.08/49.05    (3)  all_24_6 = e23
% 245.08/49.05    (4)  op2(e23, e21) = e24
% 245.08/49.05    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.05    (6)  op2(e23, e23) = e21
% 245.08/49.05    (7)  all_24_2 = e22
% 245.08/49.05    (8)   ~ (e23 = e22)
% 245.08/49.05    (9)   ~ (e22 = e20)
% 245.08/49.05    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (11)  all_24_21 = e23
% 245.08/49.05    (12)   ~ (e23 = e20)
% 245.08/49.05    (13)  op2(e24, e23) = e22
% 245.08/49.05    (14)   ~ (e24 = e21)
% 245.08/49.05    (15)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.08/49.05    (16)   ~ (e22 = e21)
% 245.08/49.05    (17)  op2(e23, e22) = e20
% 245.08/49.05    (18)  all_24_13 = e24
% 245.08/49.05    (19)  all_24_1 = e22
% 245.08/49.05    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.08/49.05            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.08/49.05    (21)   ~ (e21 = e20)
% 245.08/49.05    (22)   ~ (e24 = e22)
% 245.08/49.05    (23)  all_24_17 = e23
% 245.08/49.05    (24)   ~ (e24 = e23)
% 245.08/49.05    (25)  op2(e23, e21) = all_10_1
% 245.08/49.05    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.08/49.05            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.08/49.05            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.08/49.05    (28)  all_24_3 = e21
% 245.08/49.05    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (15) implies:
% 245.08/49.05  |   (30)  all_24_6 = e24
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (3), (30) imply:
% 245.08/49.05  |   (31)  e24 = e23
% 245.08/49.05  | 
% 245.08/49.05  | SIMP: (31) implies:
% 245.08/49.05  |   (32)  e24 = e23
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (18), (32) imply:
% 245.08/49.05  |   (33)  all_24_13 = e23
% 245.08/49.05  | 
% 245.08/49.05  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.08/49.05  |            (14), (16), (17), (19), (20), (21), (22), (23), (24), (25), (26),
% 245.08/49.05  |            (27), (28), (29), (33) are inconsistent by sub-proof #842.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #696 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  op2(e24, e22) = all_16_10
% 245.08/49.05    (2)   ~ (all_16_10 = e20)
% 245.08/49.05    (3)  op2(e23, unit2) = e23
% 245.08/49.05    (4)   ~ (e24 = e20)
% 245.08/49.05    (5)   ~ (e23 = e21)
% 245.08/49.05    (6)  op2(e23, e21) = e24
% 245.08/49.05    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.05    (8)  op2(e23, e23) = e21
% 245.08/49.05    (9)  all_24_2 = e22
% 245.08/49.05    (10)   ~ (e23 = e22)
% 245.08/49.05    (11)   ~ (e22 = e20)
% 245.08/49.05    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (13)  op2(e23, e24) = e22
% 245.08/49.05    (14)   ~ (e23 = e20)
% 245.08/49.05    (15)  all_24_9 = e23
% 245.08/49.05    (16)  op2(e24, e23) = e22
% 245.08/49.05    (17)   ~ (e24 = e21)
% 245.08/49.05    (18)   ~ (e22 = e21)
% 245.08/49.05    (19)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.08/49.05            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.08/49.05            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.08/49.05    (20)  op2(e24, unit2) = e24
% 245.08/49.05    (21)  op2(e23, e22) = e20
% 245.08/49.05    (22)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.08/49.05    (23)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.08/49.05            = e24)
% 245.08/49.05    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.08/49.05            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.08/49.05            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.08/49.05    (25)   ~ (e21 = e20)
% 245.08/49.05    (26)   ~ (e24 = e22)
% 245.08/49.05    (27)  all_24_17 = e23
% 245.08/49.05    (28)   ~ (e24 = e23)
% 245.08/49.05    (29)  op2(e23, e21) = all_10_1
% 245.08/49.05    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | BETA: splitting (23) gives:
% 245.08/49.05  | 
% 245.08/49.05  | Case 1:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (32)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.08/49.05  | | 
% 245.08/49.05  | | ALPHA: (32) implies:
% 245.08/49.05  | |   (33)  all_24_0 = e24
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.08/49.05  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (25),
% 245.08/49.05  | |            (26), (27), (28), (29), (30), (31), (33) are inconsistent by
% 245.08/49.05  | |            sub-proof #697.
% 245.08/49.05  | | 
% 245.08/49.05  | Case 2:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (34)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (5), (6), (8), (10), (11), (12), (14), (18), (21), (24), (26),
% 245.08/49.05  | |            (28), (29), (31), (34) are inconsistent by sub-proof #826.
% 245.08/49.05  | | 
% 245.08/49.05  | End of split
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #697 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  op2(e24, e22) = all_16_10
% 245.08/49.05    (2)   ~ (all_16_10 = e20)
% 245.08/49.05    (3)  op2(e23, unit2) = e23
% 245.08/49.05    (4)   ~ (e24 = e20)
% 245.08/49.05    (5)   ~ (e23 = e21)
% 245.08/49.05    (6)  op2(e23, e21) = e24
% 245.08/49.05    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.05    (8)  op2(e23, e23) = e21
% 245.08/49.05    (9)  all_24_2 = e22
% 245.08/49.05    (10)   ~ (e23 = e22)
% 245.08/49.05    (11)   ~ (e22 = e20)
% 245.08/49.05    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (13)  op2(e23, e24) = e22
% 245.08/49.05    (14)   ~ (e23 = e20)
% 245.08/49.05    (15)  all_24_9 = e23
% 245.08/49.05    (16)  op2(e24, e23) = e22
% 245.08/49.05    (17)   ~ (e24 = e21)
% 245.08/49.05    (18)   ~ (e22 = e21)
% 245.08/49.05    (19)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.08/49.05            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.08/49.05            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.08/49.05    (20)  op2(e24, unit2) = e24
% 245.08/49.05    (21)  op2(e23, e22) = e20
% 245.08/49.05    (22)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.08/49.05    (23)  all_24_0 = e24
% 245.08/49.05    (24)   ~ (e21 = e20)
% 245.08/49.05    (25)   ~ (e24 = e22)
% 245.08/49.05    (26)  all_24_17 = e23
% 245.08/49.05    (27)   ~ (e24 = e23)
% 245.08/49.05    (28)  op2(e23, e21) = all_10_1
% 245.08/49.05    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | BETA: splitting (19) gives:
% 245.08/49.05  | 
% 245.08/49.05  | Case 1:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (31)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 245.08/49.05  | |             e23) = e20)
% 245.08/49.05  | | 
% 245.08/49.05  | | BETA: splitting (31) gives:
% 245.08/49.05  | | 
% 245.08/49.05  | | Case 1:
% 245.08/49.05  | | | 
% 245.08/49.05  | | |   (32)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.08/49.05  | | | 
% 245.08/49.05  | | | REF_CLOSE: (4), (23), (32) are inconsistent by sub-proof #698.
% 245.08/49.05  | | | 
% 245.08/49.05  | | Case 2:
% 245.08/49.05  | | | 
% 245.08/49.05  | | |   (33)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.08/49.05  | | | 
% 245.08/49.05  | | | REF_CLOSE: (11), (12), (16), (33) are inconsistent by sub-proof #911.
% 245.08/49.05  | | | 
% 245.08/49.05  | | End of split
% 245.08/49.05  | | 
% 245.08/49.05  | Case 2:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (34)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24,
% 245.08/49.05  | |             e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.08/49.05  | |            (14), (15), (17), (18), (20), (21), (22), (24), (25), (26), (27),
% 245.08/49.05  | |            (28), (29), (30), (34) are inconsistent by sub-proof #884.
% 245.08/49.05  | | 
% 245.08/49.05  | End of split
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #698 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.08/49.05    (2)  all_24_0 = e24
% 245.08/49.05    (3)   ~ (e24 = e20)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (1) implies:
% 245.08/49.05  |   (4)  all_24_0 = e20
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (2), (4) imply:
% 245.08/49.05  |   (5)  e24 = e20
% 245.08/49.05  | 
% 245.08/49.05  | REDUCE: (3), (5) imply:
% 245.08/49.05  |   (6)  $false
% 245.08/49.05  | 
% 245.08/49.05  | CLOSE: (6) is inconsistent.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #699 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)   ~ (all_16_3 = e22)
% 245.08/49.05    (2)  op2(e21, e23) = all_16_8
% 245.08/49.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (4)  op2(e21, e24) = all_16_3
% 245.08/49.05    (5)   ~ (all_16_8 = e22)
% 245.08/49.05    (6)  (all_24_12 = e22 & op2(e21, e24) = e22) | (all_24_13 = e22 & op2(e21,
% 245.08/49.05             e23) = e22)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | BETA: splitting (6) gives:
% 245.08/49.05  | 
% 245.08/49.05  | Case 1:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (7)  all_24_12 = e22 & op2(e21, e24) = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | ALPHA: (7) implies:
% 245.08/49.05  | |   (8)  op2(e21, e24) = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | GROUND_INST: instantiating (3) with all_16_3, e22, e24, e21, simplifying
% 245.08/49.05  | |              with (4), (8) gives:
% 245.08/49.05  | |   (9)  all_16_3 = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | REDUCE: (1), (9) imply:
% 245.08/49.05  | |   (10)  $false
% 245.08/49.05  | | 
% 245.08/49.05  | | CLOSE: (10) is inconsistent.
% 245.08/49.05  | | 
% 245.08/49.05  | Case 2:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (11)  all_24_13 = e22 & op2(e21, e23) = e22
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #700.
% 245.08/49.05  | | 
% 245.08/49.05  | End of split
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #700 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_13 = e22 & op2(e21, e23) = e22
% 245.08/49.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (3)  op2(e21, e23) = all_16_8
% 245.08/49.05    (4)   ~ (all_16_8 = e22)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (1) implies:
% 245.08/49.05  |   (5)  op2(e21, e23) = e22
% 245.08/49.05  | 
% 245.08/49.05  | GROUND_INST: instantiating (2) with all_16_8, e22, e23, e21, simplifying with
% 245.08/49.05  |              (3), (5) gives:
% 245.08/49.05  |   (6)  all_16_8 = e22
% 245.08/49.05  | 
% 245.08/49.05  | REDUCE: (4), (6) imply:
% 245.08/49.05  |   (7)  $false
% 245.08/49.05  | 
% 245.08/49.05  | CLOSE: (7) is inconsistent.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #701 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)   ~ (e24 = e20)
% 245.08/49.05    (2)   ~ (e23 = e21)
% 245.08/49.05    (3)  op2(e23, e21) = e24
% 245.08/49.05    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.05    (5)  all_24_14 = e23
% 245.08/49.05    (6)  op2(e23, e23) = e21
% 245.08/49.05    (7)  all_24_2 = e22
% 245.08/49.05    (8)   ~ (e23 = e22)
% 245.08/49.05    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (10)   ~ (e23 = e20)
% 245.08/49.05    (11)   ~ (e24 = e21)
% 245.08/49.05    (12)   ~ (e22 = e21)
% 245.08/49.05    (13)  op2(e23, e22) = e20
% 245.08/49.05    (14)   ~ (e21 = e20)
% 245.08/49.05    (15)   ~ (e24 = e22)
% 245.08/49.05    (16)  all_24_17 = e23
% 245.08/49.05    (17)   ~ (e24 = e23)
% 245.08/49.05    (18)  op2(e23, e21) = all_10_1
% 245.08/49.05    (19)  all_24_14 = e20 & op2(e21, e22) = e20
% 245.08/49.05    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (19) implies:
% 245.08/49.05  |   (22)  all_24_14 = e20
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (5), (22) imply:
% 245.08/49.05  |   (23)  e23 = e20
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (16), (23) imply:
% 245.08/49.05  |   (24)  all_24_17 = e20
% 245.08/49.05  | 
% 245.08/49.05  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.08/49.05  |            (14), (15), (17), (18), (20), (21), (24) are inconsistent by
% 245.08/49.05  |            sub-proof #888.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #702 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  op2(e24, e22) = all_16_10
% 245.08/49.05    (2)  all_24_24 = e20
% 245.08/49.05    (3)  op2(unit2, e24) = e24
% 245.08/49.05    (4)  op2(e23, unit2) = e23
% 245.08/49.05    (5)   ~ (unit2 = e23)
% 245.08/49.05    (6)   ~ (e24 = e20)
% 245.08/49.05    (7)   ~ (e23 = e21)
% 245.08/49.05    (8)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.08/49.05             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.08/49.05           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.08/49.05    (9)  op2(e23, e21) = e24
% 245.08/49.05    (10)   ~ (all_16_19 = e20)
% 245.08/49.05    (11)  op2(e23, e23) = e21
% 245.08/49.05    (12)   ~ (e23 = e22)
% 245.08/49.05    (13)  op2(e20, unit2) = e20
% 245.08/49.05    (14)  op2(e21, e23) = all_16_8
% 245.08/49.05    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (16)   ~ (all_16_7 = e23)
% 245.08/49.05    (17)  op2(e24, e23) = e22
% 245.08/49.05    (18)   ~ (all_16_10 = e22)
% 245.08/49.05    (19)   ~ (e24 = e21)
% 245.08/49.05    (20)  op2(e20, e22) = all_16_14
% 245.08/49.05    (21)   ~ (e22 = e21)
% 245.08/49.05    (22)  all_24_12 = e20
% 245.08/49.05    (23)   ~ (all_16_14 = e20)
% 245.08/49.05    (24)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.08/49.05    (25)   ~ (all_16_8 = e23)
% 245.08/49.05    (26)  op2(e22, e23) = all_16_7
% 245.08/49.05    (27)   ~ (all_16_19 = e24)
% 245.08/49.05    (28)  op2(unit2, e22) = e22
% 245.08/49.05    (29)   ~ (e21 = e20)
% 245.08/49.05    (30)   ~ (e24 = e23)
% 245.08/49.05    (31)  op2(e23, e21) = all_10_1
% 245.08/49.05    (32)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20,
% 245.08/49.05              e24) = e21)
% 245.08/49.05    (33)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.08/49.05            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.08/49.05    (34)  op2(e20, e21) = all_16_19
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | BETA: splitting (32) gives:
% 245.08/49.05  | 
% 245.08/49.05  | Case 1:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (35)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.08/49.05  | | 
% 245.08/49.05  | | ALPHA: (35) implies:
% 245.08/49.05  | |   (36)  all_24_12 = e21
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (22), (29), (36) are inconsistent by sub-proof #703.
% 245.08/49.05  | | 
% 245.08/49.05  | Case 2:
% 245.08/49.05  | | 
% 245.08/49.05  | |   (37)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.08/49.05  | | 
% 245.08/49.05  | | ALPHA: (37) implies:
% 245.08/49.05  | |   (38)  all_24_20 = e21
% 245.08/49.05  | |   (39)  op2(e20, e24) = e21
% 245.08/49.05  | | 
% 245.08/49.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.08/49.05  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (23), (24),
% 245.08/49.05  | |            (25), (26), (27), (28), (30), (31), (33), (34), (38), (39) are
% 245.08/49.05  | |            inconsistent by sub-proof #766.
% 245.08/49.05  | | 
% 245.08/49.05  | End of split
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #703 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_12 = e21
% 245.08/49.05    (2)  all_24_12 = e20
% 245.08/49.05    (3)   ~ (e21 = e20)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (1), (2) imply:
% 245.08/49.05  |   (4)  e21 = e20
% 245.08/49.05  | 
% 245.08/49.05  | SIMP: (4) implies:
% 245.08/49.05  |   (5)  e21 = e20
% 245.08/49.05  | 
% 245.08/49.05  | REDUCE: (3), (5) imply:
% 245.08/49.05  |   (6)  $false
% 245.08/49.05  | 
% 245.08/49.05  | CLOSE: (6) is inconsistent.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #704 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.08/49.05    (2)   ~ (e23 = e21)
% 245.08/49.05    (3)  all_24_6 = e23
% 245.08/49.05    (4)  op2(e23, e21) = e24
% 245.08/49.05    (5)  op2(e23, e23) = e21
% 245.08/49.05    (6)  all_24_2 = e22
% 245.08/49.05    (7)   ~ (e23 = e22)
% 245.08/49.05    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (9)   ~ (e23 = e20)
% 245.08/49.05    (10)   ~ (e24 = e21)
% 245.08/49.05    (11)  op2(e23, e22) = e20
% 245.08/49.05    (12)   ~ (e24 = e22)
% 245.08/49.05    (13)  all_24_17 = e23
% 245.08/49.05    (14)   ~ (e24 = e23)
% 245.08/49.05    (15)  op2(e23, e21) = all_10_1
% 245.08/49.05    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.08/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.08/49.05    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.08/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (1) implies:
% 245.08/49.05  |   (18)  all_24_6 = e21
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (3), (18) imply:
% 245.08/49.05  |   (19)  e23 = e21
% 245.08/49.05  | 
% 245.08/49.05  | COMBINE_EQS: (13), (19) imply:
% 245.08/49.05  |   (20)  all_24_17 = e21
% 245.08/49.05  | 
% 245.08/49.05  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 245.08/49.05  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #705 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.08/49.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (3)  op2(e22, e22) = all_4_2
% 245.08/49.05    (4)   ~ (all_4_2 = e24)
% 245.08/49.05  
% 245.08/49.05  Begin of proof
% 245.08/49.05  | 
% 245.08/49.05  | ALPHA: (1) implies:
% 245.08/49.05  |   (5)  op2(e22, e22) = e24
% 245.08/49.05  | 
% 245.08/49.05  | GROUND_INST: instantiating (2) with all_4_2, e24, e22, e22, simplifying with
% 245.08/49.05  |              (3), (5) gives:
% 245.08/49.05  |   (6)  all_4_2 = e24
% 245.08/49.05  | 
% 245.08/49.05  | REDUCE: (4), (6) imply:
% 245.08/49.05  |   (7)  $false
% 245.08/49.05  | 
% 245.08/49.05  | CLOSE: (7) is inconsistent.
% 245.08/49.05  | 
% 245.08/49.05  End of proof
% 245.08/49.05  
% 245.08/49.05  Sub-proof #706 shows that the following formulas are inconsistent:
% 245.08/49.05  ----------------------------------------------------------------
% 245.08/49.05    (1)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.08/49.05    (2)   ~ (e24 = e20)
% 245.08/49.05    (3)   ~ (e23 = e21)
% 245.08/49.05    (4)  op2(e23, e21) = e24
% 245.08/49.05    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.08/49.05           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.08/49.05           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.08/49.05    (6)  op2(e23, e23) = e21
% 245.08/49.05    (7)  all_24_2 = e22
% 245.08/49.05    (8)   ~ (e23 = e22)
% 245.08/49.05    (9)   ~ (e22 = e20)
% 245.08/49.05    (10)  op2(e21, e23) = all_16_8
% 245.08/49.05    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.08/49.05            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.08/49.05    (12)  all_24_7 = e24
% 245.08/49.05    (13)  all_24_21 = e23
% 245.08/49.05    (14)   ~ (e23 = e20)
% 245.08/49.05    (15)   ~ (all_16_7 = e23)
% 245.08/49.05    (16)  op2(e24, e23) = e22
% 245.08/49.05    (17)   ~ (e24 = e21)
% 245.08/49.05    (18)   ~ (e22 = e21)
% 245.08/49.05    (19)  op2(e23, e22) = e20
% 245.08/49.05    (20)  all_24_1 = e22
% 245.08/49.05    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.08/49.05            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.08/49.05            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.08/49.05    (22)   ~ (all_16_8 = e23)
% 245.08/49.05    (23)  op2(e22, e23) = all_16_7
% 245.08/49.05    (24)   ~ (e21 = e20)
% 245.08/49.05    (25)   ~ (e24 = e22)
% 245.08/49.05    (26)  all_24_17 = e23
% 245.08/49.05    (27)   ~ (e24 = e23)
% 245.08/49.05    (28)  op2(e23, e21) = all_10_1
% 245.08/49.05    (29)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.08/49.05            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.08/49.05            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.08/49.05    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.05    (31)  all_24_4 = e24
% 245.11/49.05    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.05            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.05            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.05    (33)  all_24_3 = e21
% 245.11/49.05    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.05  
% 245.11/49.05  Begin of proof
% 245.11/49.05  | 
% 245.11/49.05  | ALPHA: (1) implies:
% 245.11/49.05  |   (35)  all_24_4 = e21
% 245.11/49.05  | 
% 245.11/49.05  | COMBINE_EQS: (31), (35) imply:
% 245.11/49.05  |   (36)  e24 = e21
% 245.11/49.05  | 
% 245.11/49.05  | COMBINE_EQS: (12), (36) imply:
% 245.11/49.05  |   (37)  all_24_7 = e21
% 245.11/49.05  | 
% 245.11/49.05  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.11/49.05  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.11/49.05  |            (26), (27), (28), (29), (30), (32), (33), (34), (37) are
% 245.11/49.05  |            inconsistent by sub-proof #744.
% 245.11/49.05  | 
% 245.11/49.05  End of proof
% 245.11/49.05  
% 245.11/49.05  Sub-proof #707 shows that the following formulas are inconsistent:
% 245.11/49.05  ----------------------------------------------------------------
% 245.11/49.05    (1)   ~ (e23 = e21)
% 245.11/49.05    (2)  op2(e23, e21) = e24
% 245.11/49.05    (3)  all_24_14 = e23
% 245.11/49.05    (4)  op2(e23, e23) = e21
% 245.11/49.05    (5)  all_24_2 = e22
% 245.11/49.05    (6)   ~ (e23 = e22)
% 245.11/49.05    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.05           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.05    (8)   ~ (e23 = e20)
% 245.11/49.05    (9)   ~ (e24 = e21)
% 245.11/49.05    (10)  op2(e23, e22) = e20
% 245.11/49.05    (11)   ~ (e24 = e22)
% 245.11/49.05    (12)  all_24_17 = e23
% 245.11/49.05    (13)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.11/49.05    (14)   ~ (e24 = e23)
% 245.11/49.05    (15)  op2(e23, e21) = all_10_1
% 245.11/49.05    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.05            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.05            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.05    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.05            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.05            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.05  
% 245.11/49.05  Begin of proof
% 245.11/49.05  | 
% 245.11/49.05  | ALPHA: (13) implies:
% 245.11/49.06  |   (18)  all_24_14 = e21
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (3), (18) imply:
% 245.11/49.06  |   (19)  e23 = e21
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (12), (19) imply:
% 245.11/49.06  |   (20)  all_24_17 = e21
% 245.11/49.06  | 
% 245.11/49.06  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 245.11/49.06  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #708 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)   ~ (e24 = e20)
% 245.11/49.06    (2)   ~ (e23 = e21)
% 245.11/49.06    (3)  op2(e23, e21) = e24
% 245.11/49.06    (4)   ~ (all_16_1 = e21)
% 245.11/49.06    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.06           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.06           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.06    (6)  all_24_14 = e23
% 245.11/49.06    (7)  op2(e23, e23) = e21
% 245.11/49.06    (8)  all_24_2 = e22
% 245.11/49.06    (9)   ~ (e23 = e22)
% 245.11/49.06    (10)   ~ (e22 = e20)
% 245.11/49.06    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (12)  all_24_13 = e20
% 245.11/49.06    (13)  all_24_7 = e24
% 245.11/49.06    (14)   ~ (e23 = e20)
% 245.11/49.06    (15)  op2(e24, e23) = e22
% 245.11/49.06    (16)   ~ (e24 = e21)
% 245.11/49.06    (17)   ~ (e22 = e21)
% 245.11/49.06    (18)   ~ (all_16_1 = e20)
% 245.11/49.06    (19)  op2(e23, e22) = e20
% 245.11/49.06    (20)   ~ (all_16_1 = e23)
% 245.11/49.06    (21)  all_24_1 = e22
% 245.11/49.06    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.06            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.06    (23)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20,
% 245.11/49.06              e22) = e24)
% 245.11/49.06    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.06            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.06            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.06    (25)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.11/49.06    (26)   ~ (e21 = e20)
% 245.11/49.06    (27)   ~ (e24 = e22)
% 245.11/49.06    (28)  all_24_17 = e23
% 245.11/49.06    (29)  op2(e23, e24) = all_16_1
% 245.11/49.06    (30)   ~ (e24 = e23)
% 245.11/49.06    (31)  op2(e23, e21) = all_10_1
% 245.11/49.06    (32)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.06            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.06    (33)  all_20_5 = all_16_1
% 245.11/49.06    (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.06            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.06    (35)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.06            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.06            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.06    (36)  all_24_22 = e22
% 245.11/49.06    (37)  all_24_3 = e21
% 245.11/49.06    (38)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | BETA: splitting (23) gives:
% 245.11/49.06  | 
% 245.11/49.06  | Case 1:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (39)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (6), (30), (39) are inconsistent by sub-proof #709.
% 245.11/49.06  | | 
% 245.11/49.06  | Case 2:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (40)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | ALPHA: (40) implies:
% 245.11/49.06  | |   (41)  all_24_22 = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | COMBINE_EQS: (36), (41) imply:
% 245.11/49.06  | |   (42)  e24 = e22
% 245.11/49.06  | | 
% 245.11/49.06  | | COMBINE_EQS: (13), (42) imply:
% 245.11/49.06  | |   (43)  all_24_7 = e22
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 245.11/49.06  | |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 245.11/49.06  | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (37), (38),
% 245.11/49.06  | |            (43) are inconsistent by sub-proof #761.
% 245.11/49.06  | | 
% 245.11/49.06  | End of split
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #709 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.11/49.06    (2)  all_24_14 = e23
% 245.11/49.06    (3)   ~ (e24 = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (4)  all_24_14 = e24
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.06  |   (5)  e24 = e23
% 245.11/49.06  | 
% 245.11/49.06  | SIMP: (5) implies:
% 245.11/49.06  |   (6)  e24 = e23
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (3), (6) imply:
% 245.11/49.06  |   (7)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (7) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #710 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.11/49.06    (2)  all_24_8 = e20
% 245.11/49.06    (3)   ~ (e24 = e20)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (4)  all_24_8 = e24
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.06  |   (5)  e24 = e20
% 245.11/49.06  | 
% 245.11/49.06  | SIMP: (5) implies:
% 245.11/49.06  |   (6)  e24 = e20
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (3), (6) imply:
% 245.11/49.06  |   (7)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (7) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #711 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.11/49.06    (2)   ~ (e24 = e20)
% 245.11/49.06    (3)   ~ (e23 = e21)
% 245.11/49.06    (4)  op2(e23, e21) = e24
% 245.11/49.06    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.06           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.06           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.06    (6)  op2(e23, e23) = e21
% 245.11/49.06    (7)  all_24_2 = e22
% 245.11/49.06    (8)   ~ (e23 = e22)
% 245.11/49.06    (9)   ~ (e22 = e20)
% 245.11/49.06    (10)  op2(e21, e23) = all_16_8
% 245.11/49.06    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (12)  all_24_7 = e24
% 245.11/49.06    (13)  all_24_21 = e23
% 245.11/49.06    (14)   ~ (e23 = e20)
% 245.11/49.06    (15)  all_24_4 = e21
% 245.11/49.06    (16)   ~ (all_16_7 = e23)
% 245.11/49.06    (17)  op2(e24, e23) = e22
% 245.11/49.06    (18)   ~ (e24 = e21)
% 245.11/49.06    (19)   ~ (e22 = e21)
% 245.11/49.06    (20)  op2(e23, e22) = e20
% 245.11/49.06    (21)  all_24_1 = e22
% 245.11/49.06    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.06            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.06    (23)   ~ (all_16_8 = e23)
% 245.11/49.06    (24)  op2(e22, e23) = all_16_7
% 245.11/49.06    (25)   ~ (e21 = e20)
% 245.11/49.06    (26)   ~ (e24 = e22)
% 245.11/49.06    (27)  all_24_17 = e23
% 245.11/49.06    (28)   ~ (e24 = e23)
% 245.11/49.06    (29)  op2(e23, e21) = all_10_1
% 245.11/49.06    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.06            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.06    (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.06            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.06    (32)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.06            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.06            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.06    (33)  all_24_3 = e21
% 245.11/49.06    (34)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (35)  all_24_4 = e24
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (15), (35) imply:
% 245.11/49.06  |   (36)  e24 = e21
% 245.11/49.06  | 
% 245.11/49.06  | SIMP: (36) implies:
% 245.11/49.06  |   (37)  e24 = e21
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (12), (37) imply:
% 245.11/49.06  |   (38)  all_24_7 = e21
% 245.11/49.06  | 
% 245.11/49.06  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.11/49.06  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 245.11/49.06  |            (27), (28), (29), (30), (31), (32), (33), (34), (38) are
% 245.11/49.06  |            inconsistent by sub-proof #744.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #712 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)   ~ (e23 = e21)
% 245.11/49.06    (2)  op2(e23, e21) = e24
% 245.11/49.06    (3)   ~ (all_16_1 = e21)
% 245.11/49.06    (4)  all_24_14 = e23
% 245.11/49.06    (5)  op2(e23, e23) = e21
% 245.11/49.06    (6)   ~ (e23 = e22)
% 245.11/49.06    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (8)   ~ (e23 = e20)
% 245.11/49.06    (9)   ~ (all_16_1 = e20)
% 245.11/49.06    (10)  op2(e23, e22) = e20
% 245.11/49.06    (11)   ~ (all_16_1 = e23)
% 245.11/49.06    (12)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.11/49.06    (13)  all_24_17 = e23
% 245.11/49.06    (14)  op2(e23, e24) = all_16_1
% 245.11/49.06    (15)   ~ (e24 = e23)
% 245.11/49.06    (16)  op2(e23, e21) = all_10_1
% 245.11/49.06    (17)  all_20_5 = all_16_1
% 245.11/49.06    (18)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.11/49.06    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (18) implies:
% 245.11/49.06  |   (20)  all_24_14 = e22
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (4), (20) imply:
% 245.11/49.06  |   (21)  e23 = e22
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (13), (21) imply:
% 245.11/49.06  |   (22)  all_24_17 = e22
% 245.11/49.06  | 
% 245.11/49.06  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 245.11/49.06  |            (15), (16), (17), (19), (22) are inconsistent by sub-proof #855.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #713 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)   ~ (e24 = e20)
% 245.11/49.06    (2)   ~ (e23 = e21)
% 245.11/49.06    (3)  op2(e23, e21) = e24
% 245.11/49.06    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.06           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.06           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.06    (5)  op2(e23, e23) = e21
% 245.11/49.06    (6)  all_24_2 = e22
% 245.11/49.06    (7)   ~ (e23 = e22)
% 245.11/49.06    (8)   ~ (e22 = e20)
% 245.11/49.06    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (10)   ~ (e23 = e20)
% 245.11/49.06    (11)   ~ (e24 = e21)
% 245.11/49.06    (12)   ~ (e22 = e21)
% 245.11/49.06    (13)  all_24_8 = e22
% 245.11/49.06    (14)  op2(e23, e22) = e20
% 245.11/49.06    (15)  all_24_8 = e20
% 245.11/49.06    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.06            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.06            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.06    (17)   ~ (e21 = e20)
% 245.11/49.06    (18)   ~ (e24 = e22)
% 245.11/49.06    (19)   ~ (e24 = e23)
% 245.11/49.06    (20)  op2(e23, e21) = all_10_1
% 245.11/49.06    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.06            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.06    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (13), (15) imply:
% 245.11/49.06  |   (23)  e22 = e20
% 245.11/49.06  | 
% 245.11/49.06  | SIMP: (23) implies:
% 245.11/49.06  |   (24)  e22 = e20
% 245.11/49.06  | 
% 245.11/49.06  | COMBINE_EQS: (6), (24) imply:
% 245.11/49.06  |   (25)  all_24_2 = e20
% 245.11/49.06  | 
% 245.11/49.06  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 245.11/49.06  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.11/49.06  |            sub-proof #1307.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #714 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  (all_24_12 = e23 & op2(e21, e24) = e23) | (all_24_13 = e23 & op2(e21,
% 245.11/49.06             e23) = e23)
% 245.11/49.06    (2)   ~ (e24 = e20)
% 245.11/49.06    (3)   ~ (e23 = e21)
% 245.11/49.06    (4)  op2(e23, e21) = e24
% 245.11/49.06    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.06           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.06           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.06    (6)  op2(e23, e23) = e21
% 245.11/49.06    (7)  all_24_2 = e22
% 245.11/49.06    (8)   ~ (e23 = e22)
% 245.11/49.06    (9)   ~ (e22 = e20)
% 245.11/49.06    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (11)  all_24_21 = e23
% 245.11/49.06    (12)   ~ (e23 = e20)
% 245.11/49.06    (13)  op2(e24, e23) = e22
% 245.11/49.06    (14)   ~ (e24 = e21)
% 245.11/49.06    (15)   ~ (e22 = e21)
% 245.11/49.06    (16)  op2(e23, e22) = e20
% 245.11/49.06    (17)   ~ (all_16_3 = e23)
% 245.11/49.06    (18)  all_24_1 = e22
% 245.11/49.06    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.06            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.06    (20)   ~ (e21 = e20)
% 245.11/49.06    (21)   ~ (e24 = e22)
% 245.11/49.06    (22)  op2(e21, e24) = all_16_3
% 245.11/49.06    (23)  all_24_17 = e23
% 245.11/49.06    (24)   ~ (e24 = e23)
% 245.11/49.06    (25)  op2(e23, e21) = all_10_1
% 245.11/49.06    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.06            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.06    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.06            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.06            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.06    (28)  all_24_3 = e21
% 245.11/49.06    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | BETA: splitting (1) gives:
% 245.11/49.06  | 
% 245.11/49.06  | Case 1:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (30)  all_24_12 = e23 & op2(e21, e24) = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (10), (17), (22), (30) are inconsistent by sub-proof #715.
% 245.11/49.06  | | 
% 245.11/49.06  | Case 2:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (31)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | ALPHA: (31) implies:
% 245.11/49.06  | |   (32)  all_24_13 = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.06  | |            (14), (15), (16), (18), (19), (20), (21), (23), (24), (25), (26),
% 245.11/49.06  | |            (27), (28), (29), (32) are inconsistent by sub-proof #842.
% 245.11/49.06  | | 
% 245.11/49.06  | End of split
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #715 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_12 = e23 & op2(e21, e24) = e23
% 245.11/49.06    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (3)  op2(e21, e24) = all_16_3
% 245.11/49.06    (4)   ~ (all_16_3 = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (5)  op2(e21, e24) = e23
% 245.11/49.06  | 
% 245.11/49.06  | GROUND_INST: instantiating (2) with all_16_3, e23, e24, e21, simplifying with
% 245.11/49.06  |              (3), (5) gives:
% 245.11/49.06  |   (6)  all_16_3 = e23
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (4), (6) imply:
% 245.11/49.06  |   (7)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (7) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #716 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_20 = e23 & op2(e20, e24) = e23
% 245.11/49.06    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (3)  op2(e20, e24) = all_16_4
% 245.11/49.06    (4)   ~ (all_16_4 = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (5)  op2(e20, e24) = e23
% 245.11/49.06  | 
% 245.11/49.06  | GROUND_INST: instantiating (2) with all_16_4, e23, e24, e20, simplifying with
% 245.11/49.06  |              (3), (5) gives:
% 245.11/49.06  |   (6)  all_16_4 = e23
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (4), (6) imply:
% 245.11/49.06  |   (7)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (7) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #717 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  op2(e21, e22) = all_16_13
% 245.11/49.06    (2)   ~ (all_16_14 = e23)
% 245.11/49.06    (3)   ~ (all_16_13 = e23)
% 245.11/49.06    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (5)  op2(e20, e22) = all_16_14
% 245.11/49.06    (6)  (all_24_14 = e23 & op2(e21, e22) = e23) | (all_24_22 = e23 & op2(e20,
% 245.11/49.06             e22) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | BETA: splitting (6) gives:
% 245.11/49.06  | 
% 245.11/49.06  | Case 1:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (7)  all_24_14 = e23 & op2(e21, e22) = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #719.
% 245.11/49.06  | | 
% 245.11/49.06  | Case 2:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (8)  all_24_22 = e23 & op2(e20, e22) = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | ALPHA: (8) implies:
% 245.11/49.06  | |   (9)  op2(e20, e22) = e23
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #718.
% 245.11/49.06  | | 
% 245.11/49.06  | End of split
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #718 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (2)  op2(e20, e22) = all_16_14
% 245.11/49.06    (3)  op2(e20, e22) = e23
% 245.11/49.06    (4)   ~ (all_16_14 = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | GROUND_INST: instantiating (1) with all_16_14, e23, e22, e20, simplifying with
% 245.11/49.06  |              (2), (3) gives:
% 245.11/49.06  |   (5)  all_16_14 = e23
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (4), (5) imply:
% 245.11/49.06  |   (6)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (6) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #719 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_14 = e23 & op2(e21, e22) = e23
% 245.11/49.06    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (3)  op2(e21, e22) = all_16_13
% 245.11/49.06    (4)   ~ (all_16_13 = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (1) implies:
% 245.11/49.06  |   (5)  op2(e21, e22) = e23
% 245.11/49.06  | 
% 245.11/49.06  | GROUND_INST: instantiating (2) with all_16_13, e23, e22, e21, simplifying with
% 245.11/49.06  |              (3), (5) gives:
% 245.11/49.06  |   (6)  all_16_13 = e23
% 245.11/49.06  | 
% 245.11/49.06  | REDUCE: (4), (6) imply:
% 245.11/49.06  |   (7)  $false
% 245.11/49.06  | 
% 245.11/49.06  | CLOSE: (7) is inconsistent.
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #720 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  all_24_24 = e20
% 245.11/49.06    (2)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 245.11/49.06             e20) = e24)
% 245.11/49.06    (3)   ~ (e24 = e20)
% 245.11/49.06    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (5)   ~ (all_16_19 = e24)
% 245.11/49.06    (6)  op2(e20, e21) = all_16_19
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | BETA: splitting (2) gives:
% 245.11/49.06  | 
% 245.11/49.06  | Case 1:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (7)  all_24_23 = e24 & op2(e20, e21) = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | ALPHA: (7) implies:
% 245.11/49.06  | |   (8)  op2(e20, e21) = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #769.
% 245.11/49.06  | | 
% 245.11/49.06  | Case 2:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (9)  all_24_24 = e24 & op2(e20, e20) = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | ALPHA: (9) implies:
% 245.11/49.06  | |   (10)  all_24_24 = e24
% 245.11/49.06  | | 
% 245.11/49.06  | | COMBINE_EQS: (1), (10) imply:
% 245.11/49.06  | |   (11)  e24 = e20
% 245.11/49.06  | | 
% 245.11/49.06  | | SIMP: (11) implies:
% 245.11/49.06  | |   (12)  e24 = e20
% 245.11/49.06  | | 
% 245.11/49.06  | | REDUCE: (3), (12) imply:
% 245.11/49.06  | |   (13)  $false
% 245.11/49.06  | | 
% 245.11/49.06  | | CLOSE: (13) is inconsistent.
% 245.11/49.06  | | 
% 245.11/49.06  | End of split
% 245.11/49.06  | 
% 245.11/49.06  End of proof
% 245.11/49.06  
% 245.11/49.06  Sub-proof #721 shows that the following formulas are inconsistent:
% 245.11/49.06  ----------------------------------------------------------------
% 245.11/49.06    (1)  op2(e24, e22) = all_16_10
% 245.11/49.06    (2)  all_24_24 = e20
% 245.11/49.06    (3)  op2(unit2, e24) = e24
% 245.11/49.06    (4)  op2(e23, unit2) = e23
% 245.11/49.06    (5)   ~ (unit2 = e23)
% 245.11/49.06    (6)  op2(e20, e24) = all_16_4
% 245.11/49.06    (7)   ~ (e24 = e20)
% 245.11/49.06    (8)   ~ (e23 = e21)
% 245.11/49.06    (9)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.11/49.06             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.11/49.06           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.06    (10)  op2(e23, e21) = e24
% 245.11/49.06    (11)   ~ (all_16_19 = e20)
% 245.11/49.06    (12)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.06            = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.06            op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.06    (13)  op2(e23, e23) = e21
% 245.11/49.06    (14)  all_24_2 = e22
% 245.11/49.06    (15)   ~ (e23 = e22)
% 245.11/49.06    (16)  op2(e20, unit2) = e20
% 245.11/49.06    (17)   ~ (e22 = e20)
% 245.11/49.06    (18)  op2(e21, e23) = all_16_8
% 245.11/49.06    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.06            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.06    (20)  op2(e23, e24) = e22
% 245.11/49.06    (21)   ~ (e23 = e20)
% 245.11/49.06    (22)   ~ (all_16_7 = e23)
% 245.11/49.06    (23)  op2(e24, e23) = e22
% 245.11/49.06    (24)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 245.11/49.06              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 245.11/49.06            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.06    (25)   ~ (all_16_10 = e22)
% 245.11/49.06    (26)   ~ (e24 = e21)
% 245.11/49.06    (27)  op2(e20, e22) = all_16_14
% 245.11/49.06    (28)   ~ (all_16_4 = e20)
% 245.11/49.06    (29)   ~ (e22 = e21)
% 245.11/49.06    (30)  op2(e23, e22) = e20
% 245.11/49.06    (31)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 245.11/49.06              e23) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 =
% 245.11/49.06            e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 245.11/49.06    (32)   ~ (all_16_14 = e20)
% 245.11/49.06    (33)  all_24_8 = e23
% 245.11/49.06    (34)  all_24_1 = e22
% 245.11/49.06    (35)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.06    (36)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.11/49.06            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.11/49.06            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.06    (37)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.06            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.06    (38)   ~ (all_16_8 = e23)
% 245.11/49.06    (39)  op2(e22, e23) = all_16_7
% 245.11/49.06    (40)   ~ (all_16_19 = e24)
% 245.11/49.06    (41)  op2(unit2, e22) = e22
% 245.11/49.06    (42)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.06            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.06            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.06    (43)   ~ (all_16_4 = e22)
% 245.11/49.06    (44)   ~ (e21 = e20)
% 245.11/49.06    (45)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.11/49.06            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.11/49.06            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.06    (46)   ~ (e24 = e22)
% 245.11/49.06    (47)  all_24_17 = e23
% 245.11/49.06    (48)   ~ (e24 = e23)
% 245.11/49.06    (49)  op2(e23, e21) = all_10_1
% 245.11/49.06    (50)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.06            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.06    (51)  op2(e20, e21) = all_16_19
% 245.11/49.06    (52)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.06            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.06            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.06    (53)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.11/49.06    (54)  all_24_5 = e20
% 245.11/49.06    (55)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.06            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.06            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.06    (56)  all_24_3 = e21
% 245.11/49.06    (57)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.06            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.06            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.06  
% 245.11/49.06  Begin of proof
% 245.11/49.06  | 
% 245.11/49.06  | ALPHA: (53) implies:
% 245.11/49.06  |   (58)  all_24_14 = e22
% 245.11/49.06  | 
% 245.11/49.06  | BETA: splitting (31) gives:
% 245.11/49.06  | 
% 245.11/49.06  | Case 1:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (59)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 &
% 245.11/49.06  | |           op2(e20, e23) = e22)
% 245.11/49.06  | | 
% 245.11/49.06  | | REF_CLOSE: (6), (7), (8), (10), (12), (13), (14), (15), (17), (19), (20),
% 245.11/49.06  | |            (21), (22), (23), (26), (29), (30), (34), (37), (39), (42), (43),
% 245.11/49.06  | |            (44), (46), (47), (48), (49), (50), (52), (55), (56), (57), (59)
% 245.11/49.06  | |            are inconsistent by sub-proof #775.
% 245.11/49.06  | | 
% 245.11/49.06  | Case 2:
% 245.11/49.06  | | 
% 245.11/49.06  | |   (60)  (all_24_22 = e22 & op2(e20, e22) = e22) | (all_24_23 = e22 &
% 245.11/49.06  | |           op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20, e20) = e22)
% 245.11/49.06  | | 
% 245.11/49.06  | | BETA: splitting (60) gives:
% 245.11/49.06  | | 
% 245.11/49.06  | | Case 1:
% 245.11/49.06  | | | 
% 245.11/49.06  | | |   (61)  all_24_22 = e22 & op2(e20, e22) = e22
% 245.11/49.06  | | | 
% 245.11/49.06  | | | ALPHA: (61) implies:
% 245.11/49.07  | | |   (62)  all_24_22 = e22
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (7), (8), (10), (13), (14), (15), (17), (19), (21), (26), (29),
% 245.11/49.07  | | |            (30), (33), (36), (42), (44), (45), (46), (47), (48), (49),
% 245.11/49.07  | | |            (52), (54), (57), (58), (62) are inconsistent by sub-proof
% 245.11/49.07  | | |            #723.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (63)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 &
% 245.11/49.07  | | |           op2(e20, e20) = e22)
% 245.11/49.07  | | | 
% 245.11/49.07  | | | BETA: splitting (63) gives:
% 245.11/49.07  | | | 
% 245.11/49.07  | | | Case 1:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (64)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.11/49.07  | | | |            (13), (14), (15), (16), (17), (18), (19), (21), (22), (23),
% 245.11/49.07  | | | |            (24), (25), (26), (27), (28), (29), (30), (32), (35), (38),
% 245.11/49.07  | | | |            (39), (40), (41), (42), (44), (46), (47), (48), (49), (50),
% 245.11/49.07  | | | |            (51), (52), (54), (57), (64) are inconsistent by sub-proof
% 245.11/49.07  | | | |            #730.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | Case 2:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (65)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (2), (7), (8), (10), (12), (13), (14), (15), (17), (19),
% 245.11/49.07  | | | |            (21), (26), (29), (30), (42), (44), (46), (48), (49), (52),
% 245.11/49.07  | | | |            (57), (65) are inconsistent by sub-proof #722.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | End of split
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #722 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_24 = e20
% 245.11/49.07    (2)   ~ (e24 = e20)
% 245.11/49.07    (3)   ~ (e23 = e21)
% 245.11/49.07    (4)  op2(e23, e21) = e24
% 245.11/49.07    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.07           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.07           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.07    (6)  op2(e23, e23) = e21
% 245.11/49.07    (7)  all_24_2 = e22
% 245.11/49.07    (8)   ~ (e23 = e22)
% 245.11/49.07    (9)   ~ (e22 = e20)
% 245.11/49.07    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (11)   ~ (e23 = e20)
% 245.11/49.07    (12)   ~ (e24 = e21)
% 245.11/49.07    (13)   ~ (e22 = e21)
% 245.11/49.07    (14)  op2(e23, e22) = e20
% 245.11/49.07    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (16)   ~ (e21 = e20)
% 245.11/49.07    (17)   ~ (e24 = e22)
% 245.11/49.07    (18)   ~ (e24 = e23)
% 245.11/49.07    (19)  op2(e23, e21) = all_10_1
% 245.11/49.07    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (21)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.11/49.07    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (21) implies:
% 245.11/49.07  |   (23)  all_24_24 = e22
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (1), (23) imply:
% 245.11/49.07  |   (24)  e22 = e20
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (7), (24) imply:
% 245.11/49.07  |   (25)  all_24_2 = e20
% 245.11/49.07  | 
% 245.11/49.07  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 245.11/49.07  |            (15), (16), (17), (18), (19), (20), (22), (25) are inconsistent by
% 245.11/49.07  |            sub-proof #1307.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #723 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_14 = e22
% 245.11/49.07    (2)   ~ (e24 = e20)
% 245.11/49.07    (3)   ~ (e23 = e21)
% 245.11/49.07    (4)  op2(e23, e21) = e24
% 245.11/49.07    (5)  op2(e23, e23) = e21
% 245.11/49.07    (6)  all_24_2 = e22
% 245.11/49.07    (7)   ~ (e23 = e22)
% 245.11/49.07    (8)   ~ (e22 = e20)
% 245.11/49.07    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (10)   ~ (e23 = e20)
% 245.11/49.07    (11)   ~ (e24 = e21)
% 245.11/49.07    (12)   ~ (e22 = e21)
% 245.11/49.07    (13)  op2(e23, e22) = e20
% 245.11/49.07    (14)  all_24_8 = e23
% 245.11/49.07    (15)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.11/49.07            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.11/49.07            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.07    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (17)   ~ (e21 = e20)
% 245.11/49.07    (18)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.11/49.07            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.11/49.07            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.07    (19)   ~ (e24 = e22)
% 245.11/49.07    (20)  all_24_17 = e23
% 245.11/49.07    (21)   ~ (e24 = e23)
% 245.11/49.07    (22)  op2(e23, e21) = all_10_1
% 245.11/49.07    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (24)  all_24_5 = e20
% 245.11/49.07    (25)  all_24_22 = e22
% 245.11/49.07    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | BETA: splitting (18) gives:
% 245.11/49.07  | 
% 245.11/49.07  | Case 1:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 245.11/49.07  | |             e22) = e21)
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (27) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (28)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.11/49.07  | | | 
% 245.11/49.07  | | | ALPHA: (28) implies:
% 245.11/49.07  | | |   (29)  all_24_4 = e21
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (1), (2), (11), (14), (15), (19), (21), (24), (25), (29) are
% 245.11/49.07  | | |            inconsistent by sub-proof #725.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (30)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (9), (13), (17), (30) are inconsistent by sub-proof #1318.
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | Case 2:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (31)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 245.11/49.07  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (31) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (32)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (13), (14), (19),
% 245.11/49.07  | | |            (20), (21), (22), (23), (26), (32) are inconsistent by
% 245.11/49.07  | | |            sub-proof #758.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (33)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 245.11/49.07  | | |           op2(e20, e22) = e21)
% 245.11/49.07  | | | 
% 245.11/49.07  | | | BETA: splitting (33) gives:
% 245.11/49.07  | | | 
% 245.11/49.07  | | | Case 1:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (34)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.11/49.07  | | | |            (12), (13), (16), (19), (21), (22), (23), (24), (26), (34)
% 245.11/49.07  | | | |            are inconsistent by sub-proof #749.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | Case 2:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (35)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.11/49.07  | | | |            (13), (16), (19), (21), (22), (23), (24), (25), (26), (35)
% 245.11/49.07  | | | |            are inconsistent by sub-proof #724.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | End of split
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #724 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)   ~ (e24 = e20)
% 245.11/49.07    (2)   ~ (e23 = e21)
% 245.11/49.07    (3)  op2(e23, e21) = e24
% 245.11/49.07    (4)  op2(e23, e23) = e21
% 245.11/49.07    (5)  all_24_2 = e22
% 245.11/49.07    (6)   ~ (e23 = e22)
% 245.11/49.07    (7)   ~ (e22 = e20)
% 245.11/49.07    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (9)   ~ (e23 = e20)
% 245.11/49.07    (10)   ~ (e24 = e21)
% 245.11/49.07    (11)   ~ (e22 = e21)
% 245.11/49.07    (12)  op2(e23, e22) = e20
% 245.11/49.07    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (14)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.07    (15)   ~ (e24 = e22)
% 245.11/49.07    (16)   ~ (e24 = e23)
% 245.11/49.07    (17)  op2(e23, e21) = all_10_1
% 245.11/49.07    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (19)  all_24_5 = e20
% 245.11/49.07    (20)  all_24_22 = e22
% 245.11/49.07    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (14) implies:
% 245.11/49.07  |   (22)  all_24_22 = e21
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (20), (22) imply:
% 245.11/49.07  |   (23)  e22 = e21
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (5), (23) imply:
% 245.11/49.07  |   (24)  all_24_2 = e21
% 245.11/49.07  | 
% 245.11/49.07  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.07  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 245.11/49.07  |            sub-proof #1298.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #725 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_14 = e22
% 245.11/49.07    (2)   ~ (e24 = e20)
% 245.11/49.07    (3)  all_24_4 = e21
% 245.11/49.07    (4)   ~ (e24 = e21)
% 245.11/49.07    (5)  all_24_8 = e23
% 245.11/49.07    (6)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.11/49.07           = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.11/49.07           op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.07    (7)   ~ (e24 = e22)
% 245.11/49.07    (8)   ~ (e24 = e23)
% 245.11/49.07    (9)  all_24_5 = e20
% 245.11/49.07    (10)  all_24_22 = e22
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | BETA: splitting (6) gives:
% 245.11/49.07  | 
% 245.11/49.07  | Case 1:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (11)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23,
% 245.11/49.07  | |             e22) = e24)
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (11) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (12)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.11/49.07  | | | 
% 245.11/49.07  | | | ALPHA: (12) implies:
% 245.11/49.07  | | |   (13)  all_24_4 = e24
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (3), (4), (13) are inconsistent by sub-proof #852.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (14)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #1301.
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | Case 2:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (15)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 & op2(e21,
% 245.11/49.07  | |             e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (15) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (16)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (5), (8), (16) are inconsistent by sub-proof #750.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (17)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 245.11/49.07  | | |           op2(e20, e22) = e24)
% 245.11/49.07  | | | 
% 245.11/49.07  | | | BETA: splitting (17) gives:
% 245.11/49.07  | | | 
% 245.11/49.07  | | | Case 1:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (18)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (1), (7), (18) are inconsistent by sub-proof #726.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | Case 2:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (19)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | ALPHA: (19) implies:
% 245.11/49.07  | | | |   (20)  all_24_22 = e24
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (7), (10), (20) are inconsistent by sub-proof #840.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | End of split
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #726 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.11/49.07    (2)  all_24_14 = e22
% 245.11/49.07    (3)   ~ (e24 = e22)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (1) implies:
% 245.11/49.07  |   (4)  all_24_14 = e24
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.07  |   (5)  e24 = e22
% 245.11/49.07  | 
% 245.11/49.07  | SIMP: (5) implies:
% 245.11/49.07  |   (6)  e24 = e22
% 245.11/49.07  | 
% 245.11/49.07  | REDUCE: (3), (6) imply:
% 245.11/49.07  |   (7)  $false
% 245.11/49.07  | 
% 245.11/49.07  | CLOSE: (7) is inconsistent.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #727 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_18 = e20 & op2(e22, e20) = e20
% 245.11/49.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (3)  op2(e22, e20) = all_16_22
% 245.11/49.07    (4)   ~ (all_16_22 = e20)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (1) implies:
% 245.11/49.07  |   (5)  op2(e22, e20) = e20
% 245.11/49.07  | 
% 245.11/49.07  | GROUND_INST: instantiating (2) with all_16_22, e20, e20, e22, simplifying with
% 245.11/49.07  |              (3), (5) gives:
% 245.11/49.07  |   (6)  all_16_22 = e20
% 245.11/49.07  | 
% 245.11/49.07  | REDUCE: (4), (6) imply:
% 245.11/49.07  |   (7)  $false
% 245.11/49.07  | 
% 245.11/49.07  | CLOSE: (7) is inconsistent.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #728 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_18 = e24
% 245.11/49.07    (2)  all_24_18 = e22
% 245.11/49.07    (3)   ~ (e24 = e22)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.07  |   (4)  e24 = e22
% 245.11/49.07  | 
% 245.11/49.07  | SIMP: (4) implies:
% 245.11/49.07  |   (5)  e24 = e22
% 245.11/49.07  | 
% 245.11/49.07  | REDUCE: (3), (5) imply:
% 245.11/49.07  |   (6)  $false
% 245.11/49.07  | 
% 245.11/49.07  | CLOSE: (6) is inconsistent.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #729 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  op2(e24, e22) = all_16_10
% 245.11/49.07    (2)  all_24_24 = e20
% 245.11/49.07    (3)  op2(unit2, e24) = e24
% 245.11/49.07    (4)  op2(e23, unit2) = e23
% 245.11/49.07    (5)   ~ (unit2 = e23)
% 245.11/49.07    (6)  op2(e20, e24) = all_16_4
% 245.11/49.07    (7)   ~ (e24 = e20)
% 245.11/49.07    (8)   ~ (e23 = e21)
% 245.11/49.07    (9)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.11/49.07             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.11/49.07           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.07    (10)  op2(e23, e21) = e24
% 245.11/49.07    (11)   ~ (all_16_19 = e20)
% 245.11/49.07    (12)  op2(e23, e23) = e21
% 245.11/49.07    (13)  (all_24_23 = e22 & op2(e20, e21) = e22) | (all_24_24 = e22 & op2(e20,
% 245.11/49.07              e20) = e22)
% 245.11/49.07    (14)  all_24_2 = e22
% 245.11/49.07    (15)   ~ (e23 = e22)
% 245.11/49.07    (16)  op2(e20, unit2) = e20
% 245.11/49.07    (17)   ~ (e22 = e20)
% 245.11/49.07    (18)  op2(e21, e23) = all_16_8
% 245.11/49.07    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (20)   ~ (e23 = e20)
% 245.11/49.07    (21)   ~ (all_16_7 = e23)
% 245.11/49.07    (22)  op2(e24, e23) = e22
% 245.11/49.07    (23)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 245.11/49.07              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 245.11/49.07            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.07    (24)   ~ (all_16_10 = e22)
% 245.11/49.07    (25)   ~ (e24 = e21)
% 245.11/49.07    (26)  op2(e20, e22) = all_16_14
% 245.11/49.07    (27)   ~ (all_16_4 = e20)
% 245.11/49.07    (28)   ~ (e22 = e21)
% 245.11/49.07    (29)  op2(e23, e22) = e20
% 245.11/49.07    (30)   ~ (all_16_14 = e20)
% 245.11/49.07    (31)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.07    (32)   ~ (all_16_8 = e23)
% 245.11/49.07    (33)  op2(e22, e23) = all_16_7
% 245.11/49.07    (34)   ~ (all_16_19 = e24)
% 245.11/49.07    (35)  op2(unit2, e22) = e22
% 245.11/49.07    (36)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (37)   ~ (e21 = e20)
% 245.11/49.07    (38)   ~ (e24 = e22)
% 245.11/49.07    (39)  all_24_17 = e23
% 245.11/49.07    (40)   ~ (e24 = e23)
% 245.11/49.07    (41)  op2(e23, e21) = all_10_1
% 245.11/49.07    (42)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.07            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.07    (43)  op2(e20, e21) = all_16_19
% 245.11/49.07    (44)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (45)  all_24_5 = e20
% 245.11/49.07    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | BETA: splitting (13) gives:
% 245.11/49.07  | 
% 245.11/49.07  | Case 1:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (47)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.11/49.07  | | 
% 245.11/49.07  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.11/49.07  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.11/49.07  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 245.11/49.07  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 245.11/49.07  | |            (47) are inconsistent by sub-proof #730.
% 245.11/49.07  | | 
% 245.11/49.07  | Case 2:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (48)  all_24_24 = e22 & op2(e20, e20) = e22
% 245.11/49.07  | | 
% 245.11/49.07  | | ALPHA: (48) implies:
% 245.11/49.07  | |   (49)  all_24_24 = e22
% 245.11/49.07  | | 
% 245.11/49.07  | | COMBINE_EQS: (2), (49) imply:
% 245.11/49.07  | |   (50)  e22 = e20
% 245.11/49.07  | | 
% 245.11/49.07  | | REDUCE: (17), (50) imply:
% 245.11/49.07  | |   (51)  $false
% 245.11/49.07  | | 
% 245.11/49.07  | | CLOSE: (51) is inconsistent.
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #730 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  op2(e24, e22) = all_16_10
% 245.11/49.07    (2)  all_24_24 = e20
% 245.11/49.07    (3)  op2(unit2, e24) = e24
% 245.11/49.07    (4)  op2(e23, unit2) = e23
% 245.11/49.07    (5)   ~ (unit2 = e23)
% 245.11/49.07    (6)  op2(e20, e24) = all_16_4
% 245.11/49.07    (7)   ~ (e24 = e20)
% 245.11/49.07    (8)   ~ (e23 = e21)
% 245.11/49.07    (9)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.11/49.07             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.11/49.07           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.07    (10)  op2(e23, e21) = e24
% 245.11/49.07    (11)   ~ (all_16_19 = e20)
% 245.11/49.07    (12)  op2(e23, e23) = e21
% 245.11/49.07    (13)  all_24_2 = e22
% 245.11/49.07    (14)   ~ (e23 = e22)
% 245.11/49.07    (15)  op2(e20, unit2) = e20
% 245.11/49.07    (16)   ~ (e22 = e20)
% 245.11/49.07    (17)  op2(e21, e23) = all_16_8
% 245.11/49.07    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (19)   ~ (e23 = e20)
% 245.11/49.07    (20)   ~ (all_16_7 = e23)
% 245.11/49.07    (21)  op2(e24, e23) = e22
% 245.11/49.07    (22)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 245.11/49.07              e23) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 =
% 245.11/49.07            e21 & op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.07    (23)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.11/49.07    (24)   ~ (all_16_10 = e22)
% 245.11/49.07    (25)   ~ (e24 = e21)
% 245.11/49.07    (26)  op2(e20, e22) = all_16_14
% 245.11/49.07    (27)   ~ (all_16_4 = e20)
% 245.11/49.07    (28)   ~ (e22 = e21)
% 245.11/49.07    (29)  op2(e23, e22) = e20
% 245.11/49.07    (30)   ~ (all_16_14 = e20)
% 245.11/49.07    (31)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.07    (32)   ~ (all_16_8 = e23)
% 245.11/49.07    (33)  op2(e22, e23) = all_16_7
% 245.11/49.07    (34)   ~ (all_16_19 = e24)
% 245.11/49.07    (35)  op2(unit2, e22) = e22
% 245.11/49.07    (36)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (37)   ~ (e21 = e20)
% 245.11/49.07    (38)   ~ (e24 = e22)
% 245.11/49.07    (39)  all_24_17 = e23
% 245.11/49.07    (40)   ~ (e24 = e23)
% 245.11/49.07    (41)  op2(e23, e21) = all_10_1
% 245.11/49.07    (42)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.07            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.07    (43)  op2(e20, e21) = all_16_19
% 245.11/49.07    (44)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (45)  all_24_5 = e20
% 245.11/49.07    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (23) implies:
% 245.11/49.07  |   (47)  all_24_23 = e22
% 245.11/49.07  | 
% 245.11/49.07  | BETA: splitting (22) gives:
% 245.11/49.07  | 
% 245.11/49.07  | Case 1:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (48)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 &
% 245.11/49.07  | |           op2(e20, e23) = e21)
% 245.11/49.07  | | 
% 245.11/49.07  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.07  | |            (14), (15), (17), (18), (19), (20), (21), (24), (25), (26), (28),
% 245.11/49.07  | |            (29), (30), (31), (32), (33), (34), (35), (38), (39), (40), (41),
% 245.11/49.07  | |            (42), (43), (44), (46), (48) are inconsistent by sub-proof #764.
% 245.11/49.07  | | 
% 245.11/49.07  | Case 2:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (49)  (all_24_22 = e21 & op2(e20, e22) = e21) | (all_24_23 = e21 &
% 245.11/49.07  | |           op2(e20, e21) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (49) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (50)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (6), (11), (15), (18), (26), (27), (28), (30), (31), (35),
% 245.11/49.07  | | |            (43), (50) are inconsistent by sub-proof #732.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (51)  (all_24_23 = e21 & op2(e20, e21) = e21) | (all_24_24 = e21 &
% 245.11/49.07  | | |           op2(e20, e20) = e21)
% 245.11/49.07  | | | 
% 245.11/49.07  | | | BETA: splitting (51) gives:
% 245.11/49.07  | | | 
% 245.11/49.07  | | | Case 1:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (52)  all_24_23 = e21 & op2(e20, e21) = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | ALPHA: (52) implies:
% 245.11/49.07  | | | |   (53)  all_24_23 = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (7), (8), (10), (12), (13), (14), (16), (18), (19), (25),
% 245.11/49.07  | | | |            (28), (29), (36), (38), (40), (41), (44), (45), (46), (47),
% 245.11/49.07  | | | |            (53) are inconsistent by sub-proof #731.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | Case 2:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (54)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (2), (37), (54) are inconsistent by sub-proof #736.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | End of split
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #731 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  all_24_23 = e21
% 245.11/49.07    (2)   ~ (e24 = e20)
% 245.11/49.07    (3)   ~ (e23 = e21)
% 245.11/49.07    (4)  op2(e23, e21) = e24
% 245.11/49.07    (5)  op2(e23, e23) = e21
% 245.11/49.07    (6)  all_24_2 = e22
% 245.11/49.07    (7)   ~ (e23 = e22)
% 245.11/49.07    (8)   ~ (e22 = e20)
% 245.11/49.07    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (10)  all_24_23 = e22
% 245.11/49.07    (11)   ~ (e23 = e20)
% 245.11/49.07    (12)   ~ (e24 = e21)
% 245.11/49.07    (13)   ~ (e22 = e21)
% 245.11/49.07    (14)  op2(e23, e22) = e20
% 245.11/49.07    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.07            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.07            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.07    (16)   ~ (e24 = e22)
% 245.11/49.07    (17)   ~ (e24 = e23)
% 245.11/49.07    (18)  op2(e23, e21) = all_10_1
% 245.11/49.07    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.07            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.07            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.07    (20)  all_24_5 = e20
% 245.11/49.07    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.07            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.07            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (1), (10) imply:
% 245.11/49.07  |   (22)  e22 = e21
% 245.11/49.07  | 
% 245.11/49.07  | SIMP: (22) implies:
% 245.11/49.07  |   (23)  e22 = e21
% 245.11/49.07  | 
% 245.11/49.07  | COMBINE_EQS: (6), (23) imply:
% 245.11/49.07  |   (24)  all_24_2 = e21
% 245.11/49.07  | 
% 245.11/49.07  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14), (15),
% 245.11/49.07  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.11/49.07  |            sub-proof #1298.
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #732 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)  op2(e20, e24) = all_16_4
% 245.11/49.07    (2)   ~ (all_16_19 = e20)
% 245.11/49.07    (3)  op2(e20, unit2) = e20
% 245.11/49.07    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (5)  op2(e20, e22) = all_16_14
% 245.11/49.07    (6)   ~ (all_16_4 = e20)
% 245.11/49.07    (7)   ~ (e22 = e21)
% 245.11/49.07    (8)   ~ (all_16_14 = e20)
% 245.11/49.07    (9)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.07    (10)  op2(unit2, e22) = e22
% 245.11/49.07    (11)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.07    (12)  op2(e20, e21) = all_16_19
% 245.11/49.07  
% 245.11/49.07  Begin of proof
% 245.11/49.07  | 
% 245.11/49.07  | ALPHA: (11) implies:
% 245.11/49.07  |   (13)  op2(e20, e22) = e21
% 245.11/49.07  | 
% 245.11/49.07  | BETA: splitting (9) gives:
% 245.11/49.07  | 
% 245.11/49.07  | Case 1:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (14)  unit2 = e24
% 245.11/49.07  | | 
% 245.11/49.07  | | REDUCE: (3), (14) imply:
% 245.11/49.07  | |   (15)  op2(e20, e24) = e20
% 245.11/49.07  | | 
% 245.11/49.07  | | REF_CLOSE: (1), (4), (6), (15) are inconsistent by sub-proof #962.
% 245.11/49.07  | | 
% 245.11/49.07  | Case 2:
% 245.11/49.07  | | 
% 245.11/49.07  | |   (16)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.07  | | 
% 245.11/49.07  | | BETA: splitting (16) gives:
% 245.11/49.07  | | 
% 245.11/49.07  | | Case 1:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (17)  unit2 = e22
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REDUCE: (3), (17) imply:
% 245.11/49.07  | | |   (18)  op2(e20, e22) = e20
% 245.11/49.07  | | | 
% 245.11/49.07  | | | REF_CLOSE: (4), (5), (8), (18) are inconsistent by sub-proof #961.
% 245.11/49.07  | | | 
% 245.11/49.07  | | Case 2:
% 245.11/49.07  | | | 
% 245.11/49.07  | | |   (19)  unit2 = e21 | unit2 = e20
% 245.11/49.07  | | | 
% 245.11/49.07  | | | BETA: splitting (19) gives:
% 245.11/49.07  | | | 
% 245.11/49.07  | | | Case 1:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (20)  unit2 = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REDUCE: (3), (20) imply:
% 245.11/49.07  | | | |   (21)  op2(e20, e21) = e20
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REF_CLOSE: (2), (4), (12), (21) are inconsistent by sub-proof #960.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | Case 2:
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | |   (22)  unit2 = e20
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REDUCE: (10), (22) imply:
% 245.11/49.07  | | | |   (23)  op2(e20, e22) = e22
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | GROUND_INST: instantiating (4) with e21, e22, e22, e20, simplifying with
% 245.11/49.07  | | | |              (13), (23) gives:
% 245.11/49.07  | | | |   (24)  e22 = e21
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | REDUCE: (7), (24) imply:
% 245.11/49.07  | | | |   (25)  $false
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | | CLOSE: (25) is inconsistent.
% 245.11/49.07  | | | | 
% 245.11/49.07  | | | End of split
% 245.11/49.07  | | | 
% 245.11/49.07  | | End of split
% 245.11/49.07  | | 
% 245.11/49.07  | End of split
% 245.11/49.07  | 
% 245.11/49.07  End of proof
% 245.11/49.07  
% 245.11/49.07  Sub-proof #733 shows that the following formulas are inconsistent:
% 245.11/49.07  ----------------------------------------------------------------
% 245.11/49.07    (1)   ~ (e23 = e21)
% 245.11/49.07    (2)  op2(e23, e21) = e24
% 245.11/49.07    (3)  op2(e23, e23) = e21
% 245.11/49.07    (4)  all_24_2 = e22
% 245.11/49.07    (5)   ~ (e23 = e22)
% 245.11/49.07    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.07           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.07    (7)   ~ (e23 = e20)
% 245.11/49.07    (8)  op2(e23, e22) = e20
% 245.11/49.07    (9)   ~ (e24 = e23)
% 245.11/49.07    (10)  op2(e23, e21) = all_10_1
% 245.11/49.08    (11)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.08            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08    (12)  all_24_17 = e24
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | BETA: splitting (11) gives:
% 245.11/49.08  | 
% 245.11/49.08  | Case 1:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (13)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.11/49.08  | |             e23) = e23)
% 245.11/49.08  | | 
% 245.11/49.08  | | REF_CLOSE: (1), (3), (4), (5), (6), (13) are inconsistent by sub-proof #878.
% 245.11/49.08  | | 
% 245.11/49.08  | Case 2:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (14)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.11/49.08  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08  | | 
% 245.11/49.08  | | BETA: splitting (14) gives:
% 245.11/49.08  | | 
% 245.11/49.08  | | Case 1:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (15)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.11/49.08  | | | 
% 245.11/49.08  | | | ALPHA: (15) implies:
% 245.11/49.08  | | |   (16)  op2(e23, e22) = e23
% 245.11/49.08  | | | 
% 245.11/49.08  | | | REF_CLOSE: (6), (7), (8), (16) are inconsistent by sub-proof #1326.
% 245.11/49.08  | | | 
% 245.11/49.08  | | Case 2:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (17)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.11/49.08  | | |           op2(e23, e20) = e23)
% 245.11/49.08  | | | 
% 245.11/49.08  | | | BETA: splitting (17) gives:
% 245.11/49.08  | | | 
% 245.11/49.08  | | | Case 1:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (18)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | ALPHA: (18) implies:
% 245.11/49.08  | | | |   (19)  op2(e23, e21) = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | REF_CLOSE: (2), (6), (9), (10), (19) are inconsistent by sub-proof #957.
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | Case 2:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (20)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | ALPHA: (20) implies:
% 245.11/49.08  | | | |   (21)  all_24_17 = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | COMBINE_EQS: (12), (21) imply:
% 245.11/49.08  | | | |   (22)  e24 = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | SIMP: (22) implies:
% 245.11/49.08  | | | |   (23)  e24 = e23
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | REDUCE: (9), (23) imply:
% 245.11/49.08  | | | |   (24)  $false
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | CLOSE: (24) is inconsistent.
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | End of split
% 245.11/49.08  | | | 
% 245.11/49.08  | | End of split
% 245.11/49.08  | | 
% 245.11/49.08  | End of split
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #734 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)   ~ (e23 = e21)
% 245.11/49.08    (2)  op2(e23, e21) = e24
% 245.11/49.08    (3)  op2(e23, e23) = e21
% 245.11/49.08    (4)  all_24_2 = e22
% 245.11/49.08    (5)   ~ (e23 = e22)
% 245.11/49.08    (6)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.11/49.08    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (8)   ~ (e23 = e20)
% 245.11/49.08    (9)  all_24_9 = e23
% 245.11/49.08    (10)   ~ (e24 = e21)
% 245.11/49.08    (11)  op2(e23, e22) = e20
% 245.11/49.08    (12)   ~ (e24 = e22)
% 245.11/49.08    (13)  all_24_17 = e23
% 245.11/49.08    (14)   ~ (e24 = e23)
% 245.11/49.08    (15)  op2(e23, e21) = all_10_1
% 245.11/49.08    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.08            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.08            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.08    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.08            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | ALPHA: (6) implies:
% 245.11/49.08  |   (18)  all_24_9 = e21
% 245.11/49.08  | 
% 245.11/49.08  | COMBINE_EQS: (9), (18) imply:
% 245.11/49.08  |   (19)  e23 = e21
% 245.11/49.08  | 
% 245.11/49.08  | SIMP: (19) implies:
% 245.11/49.08  |   (20)  e23 = e21
% 245.11/49.08  | 
% 245.11/49.08  | COMBINE_EQS: (13), (20) imply:
% 245.11/49.08  |   (21)  all_24_17 = e21
% 245.11/49.08  | 
% 245.11/49.08  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (14), (15),
% 245.11/49.08  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #735 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_24 = e20
% 245.11/49.08    (2)  op2(e20, e24) = all_16_4
% 245.11/49.08    (3)   ~ (e23 = e21)
% 245.11/49.08    (4)  op2(e23, e21) = e24
% 245.11/49.08    (5)   ~ (all_16_19 = e20)
% 245.11/49.08    (6)  op2(e23, e23) = e21
% 245.11/49.08    (7)  op2(e22, e20) = e22
% 245.11/49.08    (8)  all_24_2 = e22
% 245.11/49.08    (9)   ~ (e23 = e22)
% 245.11/49.08    (10)  op2(e20, unit2) = e20
% 245.11/49.08    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (12)  all_24_19 = e24
% 245.11/49.08    (13)   ~ (e23 = e20)
% 245.11/49.08    (14)   ~ (e24 = e21)
% 245.11/49.08    (15)  op2(e20, e22) = all_16_14
% 245.11/49.08    (16)   ~ (all_16_4 = e20)
% 245.11/49.08    (17)   ~ (e22 = e21)
% 245.11/49.08    (18)  op2(e24, unit2) = e24
% 245.11/49.08    (19)  op2(e23, e22) = e20
% 245.11/49.08    (20)   ~ (all_16_14 = e20)
% 245.11/49.08    (21)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.08    (22)   ~ (e21 = e20)
% 245.11/49.08    (23)   ~ (e24 = e22)
% 245.11/49.08    (24)   ~ (e24 = e23)
% 245.11/49.08    (25)  op2(e23, e21) = all_10_1
% 245.11/49.08    (26)  op2(e20, e21) = all_16_19
% 245.11/49.08    (27)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.08            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.08            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.08    (28)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.11/49.08              e20) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 =
% 245.11/49.08            e21 & op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.08    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.08            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | BETA: splitting (28) gives:
% 245.11/49.08  | 
% 245.11/49.08  | Case 1:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (30)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 &
% 245.11/49.08  | |           op2(e23, e20) = e21)
% 245.11/49.08  | | 
% 245.11/49.08  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15),
% 245.11/49.08  | |            (16), (18), (19), (20), (21), (23), (24), (25), (26), (27), (29),
% 245.11/49.08  | |            (30) are inconsistent by sub-proof #799.
% 245.11/49.08  | | 
% 245.11/49.08  | Case 2:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (31)  (all_24_18 = e21 & op2(e22, e20) = e21) | (all_24_19 = e21 &
% 245.11/49.08  | |           op2(e21, e20) = e21) | (all_24_24 = e21 & op2(e20, e20) = e21)
% 245.11/49.08  | | 
% 245.11/49.08  | | BETA: splitting (31) gives:
% 245.11/49.08  | | 
% 245.11/49.08  | | Case 1:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (32)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.11/49.08  | | | 
% 245.11/49.08  | | | REF_CLOSE: (7), (11), (17), (32) are inconsistent by sub-proof #740.
% 245.11/49.08  | | | 
% 245.11/49.08  | | Case 2:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (33)  (all_24_19 = e21 & op2(e21, e20) = e21) | (all_24_24 = e21 &
% 245.11/49.08  | | |           op2(e20, e20) = e21)
% 245.11/49.08  | | | 
% 245.11/49.08  | | | BETA: splitting (33) gives:
% 245.11/49.08  | | | 
% 245.11/49.08  | | | Case 1:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (34)  all_24_19 = e21 & op2(e21, e20) = e21
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | ALPHA: (34) implies:
% 245.11/49.08  | | | |   (35)  all_24_19 = e21
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | REF_CLOSE: (12), (14), (35) are inconsistent by sub-proof #737.
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | Case 2:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (36)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | REF_CLOSE: (1), (22), (36) are inconsistent by sub-proof #736.
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | End of split
% 245.11/49.08  | | | 
% 245.11/49.08  | | End of split
% 245.11/49.08  | | 
% 245.11/49.08  | End of split
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #736 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_24 = e21 & op2(e20, e20) = e21
% 245.11/49.08    (2)  all_24_24 = e20
% 245.11/49.08    (3)   ~ (e21 = e20)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | ALPHA: (1) implies:
% 245.11/49.08  |   (4)  all_24_24 = e21
% 245.11/49.08  | 
% 245.11/49.08  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.08  |   (5)  e21 = e20
% 245.11/49.08  | 
% 245.11/49.08  | REDUCE: (3), (5) imply:
% 245.11/49.08  |   (6)  $false
% 245.11/49.08  | 
% 245.11/49.08  | CLOSE: (6) is inconsistent.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #737 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_19 = e24
% 245.11/49.08    (2)  all_24_19 = e21
% 245.11/49.08    (3)   ~ (e24 = e21)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.08  |   (4)  e24 = e21
% 245.11/49.08  | 
% 245.11/49.08  | SIMP: (4) implies:
% 245.11/49.08  |   (5)  e24 = e21
% 245.11/49.08  | 
% 245.11/49.08  | REDUCE: (3), (5) imply:
% 245.11/49.08  |   (6)  $false
% 245.11/49.08  | 
% 245.11/49.08  | CLOSE: (6) is inconsistent.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #738 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_15 = e24 & op2(e21, e21) = e24
% 245.11/49.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (3)  op2(e21, e21) = all_6_2
% 245.11/49.08    (4)   ~ (all_6_2 = e24)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | ALPHA: (1) implies:
% 245.11/49.08  |   (5)  op2(e21, e21) = e24
% 245.11/49.08  | 
% 245.11/49.08  | GROUND_INST: instantiating (2) with all_6_2, e24, e21, e21, simplifying with
% 245.11/49.08  |              (3), (5) gives:
% 245.11/49.08  |   (6)  all_6_2 = e24
% 245.11/49.08  | 
% 245.11/49.08  | REDUCE: (4), (6) imply:
% 245.11/49.08  |   (7)  $false
% 245.11/49.08  | 
% 245.11/49.08  | CLOSE: (7) is inconsistent.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #739 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_13 = e24 & op2(e21,
% 245.11/49.08             e23) = e24)
% 245.11/49.08    (2)   ~ (e24 = e20)
% 245.11/49.08    (3)   ~ (e23 = e21)
% 245.11/49.08    (4)  op2(e23, e21) = e24
% 245.11/49.08    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.08           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.08           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.08    (6)  op2(e23, e23) = e21
% 245.11/49.08    (7)  all_24_2 = e22
% 245.11/49.08    (8)   ~ (e23 = e22)
% 245.11/49.08    (9)   ~ (e22 = e20)
% 245.11/49.08    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (11)  all_24_7 = e24
% 245.11/49.08    (12)  all_24_21 = e23
% 245.11/49.08    (13)   ~ (e23 = e20)
% 245.11/49.08    (14)  op2(e24, e23) = e22
% 245.11/49.08    (15)   ~ (e24 = e21)
% 245.11/49.08    (16)   ~ (e22 = e21)
% 245.11/49.08    (17)  op2(e23, e22) = e20
% 245.11/49.08    (18)  all_24_12 = e23
% 245.11/49.08    (19)   ~ (e21 = e20)
% 245.11/49.08    (20)   ~ (e24 = e22)
% 245.11/49.08    (21)  all_24_17 = e23
% 245.11/49.08    (22)   ~ (e24 = e23)
% 245.11/49.08    (23)  op2(e23, e21) = all_10_1
% 245.11/49.08    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.08            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.08            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.08    (25)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.08            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.08            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.08    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.08            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | BETA: splitting (1) gives:
% 245.11/49.08  | 
% 245.11/49.08  | Case 1:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (27)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.11/49.08  | | 
% 245.11/49.08  | | REF_CLOSE: (18), (22), (27) are inconsistent by sub-proof #824.
% 245.11/49.08  | | 
% 245.11/49.08  | Case 2:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (28)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.11/49.08  | | 
% 245.11/49.08  | | ALPHA: (28) implies:
% 245.11/49.08  | |   (29)  all_24_13 = e24
% 245.11/49.08  | | 
% 245.11/49.08  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.08  | |            (14), (15), (16), (17), (19), (20), (21), (22), (23), (24), (25),
% 245.11/49.08  | |            (26), (29) are inconsistent by sub-proof #831.
% 245.11/49.08  | | 
% 245.11/49.08  | End of split
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #740 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.11/49.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (3)  op2(e22, e20) = e22
% 245.11/49.08    (4)   ~ (e22 = e21)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | ALPHA: (1) implies:
% 245.11/49.08  |   (5)  op2(e22, e20) = e21
% 245.11/49.08  | 
% 245.11/49.08  | GROUND_INST: instantiating (2) with e21, e22, e20, e22, simplifying with (3),
% 245.11/49.08  |              (5) gives:
% 245.11/49.08  |   (6)  e22 = e21
% 245.11/49.08  | 
% 245.11/49.08  | REDUCE: (4), (6) imply:
% 245.11/49.08  |   (7)  $false
% 245.11/49.08  | 
% 245.11/49.08  | CLOSE: (7) is inconsistent.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #741 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.11/49.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (3)  op2(e24, e20) = e24
% 245.11/49.08    (4)   ~ (e24 = e21)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | ALPHA: (1) implies:
% 245.11/49.08  |   (5)  op2(e24, e20) = e21
% 245.11/49.08  | 
% 245.11/49.08  | GROUND_INST: instantiating (2) with e21, e24, e20, e24, simplifying with (3),
% 245.11/49.08  |              (5) gives:
% 245.11/49.08  |   (6)  e24 = e21
% 245.11/49.08  | 
% 245.11/49.08  | REDUCE: (4), (6) imply:
% 245.11/49.08  |   (7)  $false
% 245.11/49.08  | 
% 245.11/49.08  | CLOSE: (7) is inconsistent.
% 245.11/49.08  | 
% 245.11/49.08  End of proof
% 245.11/49.08  
% 245.11/49.08  Sub-proof #742 shows that the following formulas are inconsistent:
% 245.11/49.08  ----------------------------------------------------------------
% 245.11/49.08    (1)  all_24_20 = e24
% 245.11/49.08    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.11/49.08           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.11/49.08           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.11/49.08    (3)   ~ (all_16_15 = e24)
% 245.11/49.08    (4)   ~ (e24 = e20)
% 245.11/49.08    (5)   ~ (e23 = e21)
% 245.11/49.08    (6)  op2(e23, e21) = e24
% 245.11/49.08    (7)   ~ (all_16_1 = e21)
% 245.11/49.08    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.08           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.08           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.08    (9)  op2(e23, e23) = e21
% 245.11/49.08    (10)  all_24_2 = e22
% 245.11/49.08    (11)   ~ (e23 = e22)
% 245.11/49.08    (12)  all_24_0 = e20
% 245.11/49.08    (13)   ~ (e22 = e20)
% 245.11/49.08    (14)  op2(e21, e23) = all_16_8
% 245.11/49.08    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.08            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.08    (16)  all_24_13 = e20
% 245.11/49.08    (17)  all_24_7 = e24
% 245.11/49.08    (18)  all_24_21 = e23
% 245.11/49.08    (19)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.11/49.08            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.11/49.08            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.11/49.08    (20)   ~ (e23 = e20)
% 245.11/49.08    (21)  all_24_9 = e23
% 245.11/49.08    (22)   ~ (all_16_7 = e23)
% 245.11/49.08    (23)  op2(e24, e23) = e22
% 245.11/49.08    (24)   ~ (e24 = e21)
% 245.11/49.08    (25)   ~ (e22 = e21)
% 245.11/49.08    (26)   ~ (all_16_1 = e20)
% 245.11/49.08    (27)  op2(e23, e22) = e20
% 245.11/49.08    (28)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 245.11/49.08            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 245.11/49.08            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 245.11/49.08    (29)   ~ (all_16_1 = e23)
% 245.11/49.08    (30)  all_24_12 = e23
% 245.11/49.08    (31)  all_24_8 = e23
% 245.11/49.08    (32)  all_24_1 = e22
% 245.11/49.08    (33)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.11/49.08            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.11/49.08            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.11/49.08    (34)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.11/49.08            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.11/49.08            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.08    (35)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.08            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.08            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.08    (36)   ~ (all_16_8 = e23)
% 245.11/49.08    (37)  op2(e22, e23) = all_16_7
% 245.11/49.08    (38)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.08            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.08            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.08    (39)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.11/49.08    (40)   ~ (e21 = e20)
% 245.11/49.08    (41)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.11/49.08            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.11/49.08            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.08    (42)  op2(e24, e21) = all_16_15
% 245.11/49.08    (43)   ~ (e24 = e22)
% 245.11/49.08    (44)  all_24_17 = e23
% 245.11/49.08    (45)  op2(e23, e24) = all_16_1
% 245.11/49.08    (46)   ~ (e24 = e23)
% 245.11/49.08    (47)  op2(e23, e21) = all_10_1
% 245.11/49.08    (48)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.08            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.08    (49)  all_20_5 = all_16_1
% 245.11/49.08    (50)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.08            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.08            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.08    (51)  all_24_5 = e20
% 245.11/49.08    (52)  all_24_22 = e20
% 245.11/49.08    (53)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.08            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.08            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.08    (54)  all_24_3 = e21
% 245.11/49.08    (55)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.08            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.08            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.08  
% 245.11/49.08  Begin of proof
% 245.11/49.08  | 
% 245.11/49.08  | BETA: splitting (2) gives:
% 245.11/49.08  | 
% 245.11/49.08  | Case 1:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (56)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 245.11/49.08  | |             e24) = e21)
% 245.11/49.08  | | 
% 245.11/49.08  | | REF_CLOSE: (4), (5), (6), (9), (11), (12), (13), (15), (20), (24), (25),
% 245.11/49.08  | |            (27), (38), (40), (43), (46), (47), (50), (51), (55), (56) are
% 245.11/49.08  | |            inconsistent by sub-proof #880.
% 245.11/49.08  | | 
% 245.11/49.08  | Case 2:
% 245.11/49.08  | | 
% 245.11/49.08  | |   (57)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 245.11/49.08  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.11/49.08  | | 
% 245.11/49.08  | | BETA: splitting (57) gives:
% 245.11/49.08  | | 
% 245.11/49.08  | | Case 1:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (58)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.11/49.08  | | | 
% 245.11/49.08  | | | ALPHA: (58) implies:
% 245.11/49.08  | | |   (59)  all_24_6 = e21
% 245.11/49.08  | | | 
% 245.11/49.08  | | | BETA: splitting (28) gives:
% 245.11/49.08  | | | 
% 245.11/49.08  | | | Case 1:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (60)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 &
% 245.11/49.08  | | | |           op2(e23, e22) = e22)
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | REF_CLOSE: (3), (4), (5), (6), (9), (10), (11), (12), (13), (15), (19),
% 245.11/49.08  | | | |            (20), (21), (23), (24), (25), (27), (32), (33), (38), (40),
% 245.11/49.08  | | | |            (42), (43), (44), (46), (47), (50), (51), (55), (60) are
% 245.11/49.08  | | | |            inconsistent by sub-proof #857.
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | Case 2:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | |   (61)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 245.11/49.08  | | | |           op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | BETA: splitting (61) gives:
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | | Case 1:
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | |   (62)  all_24_8 = e22 & op2(e22, e22) = e22
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | | REF_CLOSE: (5), (6), (7), (9), (11), (15), (20), (26), (27), (29),
% 245.11/49.08  | | | | |            (31), (39), (44), (45), (46), (47), (49), (55), (62) are
% 245.11/49.08  | | | | |            inconsistent by sub-proof #854.
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | Case 2:
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | |   (63)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 245.11/49.08  | | | | |           op2(e20, e22) = e22)
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | | BETA: splitting (63) gives:
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | | Case 1:
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | |   (64)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | | ALPHA: (64) implies:
% 245.11/49.08  | | | | | |   (65)  all_24_14 = e22
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | | BETA: splitting (41) gives:
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | | Case 1:
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | |   (66)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 &
% 245.11/49.08  | | | | | | |           op2(e23, e22) = e21)
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | | BETA: splitting (66) gives:
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | |   (67)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | ALPHA: (67) implies:
% 245.11/49.08  | | | | | | | |   (68)  all_24_4 = e21
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | BETA: splitting (33) gives:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | |   (69)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 =
% 245.11/49.08  | | | | | | | | |           e24 & op2(e24, e23) = e24)
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | BETA: splitting (69) gives:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | |   (70)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | REF_CLOSE: (4), (12), (70) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | | | |            #863.
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | |   (71)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 245.11/49.08  | | | | | | | | | |            (15), (16), (17), (20), (23), (24), (25), (26),
% 245.11/49.08  | | | | | | | | | |            (27), (29), (32), (35), (38), (39), (40), (43),
% 245.11/49.08  | | | | | | | | | |            (44), (45), (46), (47), (48), (49), (50), (53),
% 245.11/49.08  | | | | | | | | | |            (54), (55), (71) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | | | |            #760.
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | |   (72)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 =
% 245.11/49.08  | | | | | | | | |           e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 245.11/49.08  | | | | | | | | |           op2(e24, e20) = e24)
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | BETA: splitting (72) gives:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | |   (73)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | ALPHA: (73) implies:
% 245.11/49.08  | | | | | | | | | |   (74)  all_24_4 = e24
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (10), (11), (13), (15), (20),
% 245.11/49.08  | | | | | | | | | |            (24), (25), (27), (31), (38), (40), (41), (43),
% 245.11/49.08  | | | | | | | | | |            (44), (46), (47), (50), (51), (52), (55), (65),
% 245.11/49.08  | | | | | | | | | |            (74) are inconsistent by sub-proof #755.
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | |   (75)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16
% 245.11/49.08  | | | | | | | | | |           = e24 & op2(e24, e20) = e24)
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | BETA: splitting (75) gives:
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | |   (76)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | REF_CLOSE: (3), (15), (42), (76) are inconsistent by
% 245.11/49.08  | | | | | | | | | | |            sub-proof #862.
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | |   (77)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | ALPHA: (77) implies:
% 245.11/49.08  | | | | | | | | | | |   (78)  all_24_16 = e24
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | BETA: splitting (34) gives:
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | |   (79)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5
% 245.11/49.08  | | | | | | | | | | | |           = e24 & op2(e23, e22) = e24)
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | BETA: splitting (79) gives:
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | |   (80)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | ALPHA: (80) implies:
% 245.11/49.08  | | | | | | | | | | | | |   (81)  all_24_4 = e24
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (10), (11), (13), (15), (20),
% 245.11/49.08  | | | | | | | | | | | | |            (24), (25), (27), (31), (38), (40), (41), (43),
% 245.11/49.08  | | | | | | | | | | | | |            (44), (46), (47), (50), (51), (52), (55), (65),
% 245.11/49.08  | | | | | | | | | | | | |            (81) are inconsistent by sub-proof #755.
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | |   (82)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | ALPHA: (82) implies:
% 245.11/49.08  | | | | | | | | | | | | |   (83)  all_24_5 = e24
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | COMBINE_EQS: (51), (83) imply:
% 245.11/49.08  | | | | | | | | | | | | |   (84)  e24 = e20
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | COMBINE_EQS: (78), (84) imply:
% 245.11/49.08  | | | | | | | | | | | | |   (85)  all_24_16 = e20
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | REF_CLOSE: (3), (4), (12), (15), (24), (32), (33), (42),
% 245.11/49.08  | | | | | | | | | | | | |            (43), (68), (85) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | | | | | | |            #751.
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | |   (86)  (all_24_8 = e24 & op2(e22, e22) = e24) |
% 245.11/49.08  | | | | | | | | | | | |         (all_24_14 = e24 & op2(e21, e22) = e24) |
% 245.11/49.08  | | | | | | | | | | | |         (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | BETA: splitting (86) gives:
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | |   (87)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | REF_CLOSE: (31), (46), (87) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | | | | | | |            #750.
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | |   (88)  (all_24_14 = e24 & op2(e21, e22) = e24) |
% 245.11/49.08  | | | | | | | | | | | | |         (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | BETA: splitting (88) gives:
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | |   (89)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | ALPHA: (89) implies:
% 245.11/49.08  | | | | | | | | | | | | | |   (90)  all_24_14 = e24
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | COMBINE_EQS: (65), (90) imply:
% 245.11/49.08  | | | | | | | | | | | | | |   (91)  e24 = e22
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | COMBINE_EQS: (17), (91) imply:
% 245.11/49.08  | | | | | | | | | | | | | |   (92)  all_24_7 = e22
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 245.11/49.08  | | | | | | | | | | | | | |            (15), (16), (20), (23), (24), (25), (26), (27),
% 245.11/49.08  | | | | | | | | | | | | | |            (29), (32), (35), (38), (39), (40), (43), (44),
% 245.11/49.08  | | | | | | | | | | | | | |            (45), (46), (47), (48), (49), (50), (53), (54),
% 245.11/49.08  | | | | | | | | | | | | | |            (55), (92) are inconsistent by sub-proof #761.
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | |   (93)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | ALPHA: (93) implies:
% 245.11/49.08  | | | | | | | | | | | | | |   (94)  all_24_22 = e24
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | COMBINE_EQS: (52), (94) imply:
% 245.11/49.08  | | | | | | | | | | | | | |   (95)  e24 = e20
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | COMBINE_EQS: (78), (95) imply:
% 245.11/49.08  | | | | | | | | | | | | | |   (96)  all_24_16 = e20
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (12), (15), (24), (32), (33), (42),
% 245.11/49.08  | | | | | | | | | | | | | |            (43), (68), (96) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | | | | | | | |            #751.
% 245.11/49.08  | | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | |   (97)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | REF_CLOSE: (15), (27), (40), (97) are inconsistent by sub-proof
% 245.11/49.08  | | | | | | | |            #1318.
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | End of split
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | Case 2:
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | |   (98)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21
% 245.11/49.08  | | | | | | |           & op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20,
% 245.11/49.08  | | | | | | |             e22) = e21)
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | | BETA: splitting (98) gives:
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | |   (99)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (11), (15), (20), (24), (27),
% 245.11/49.08  | | | | | | | |            (31), (43), (44), (46), (47), (50), (55), (99) are
% 245.11/49.08  | | | | | | | |            inconsistent by sub-proof #758.
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | |   (100)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 =
% 245.11/49.08  | | | | | | | |            e21 & op2(e20, e22) = e21)
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | BETA: splitting (100) gives:
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | | Case 1:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | |   (101)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (10), (11), (13), (15), (20),
% 245.11/49.08  | | | | | | | | |            (24), (25), (27), (38), (43), (46), (47), (50),
% 245.11/49.08  | | | | | | | | |            (51), (55), (65), (101) are inconsistent by
% 245.11/49.08  | | | | | | | | |            sub-proof #749.
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | Case 2:
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | |   (102)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | ALPHA: (102) implies:
% 245.11/49.08  | | | | | | | | |   (103)  all_24_22 = e21
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | COMBINE_EQS: (52), (103) imply:
% 245.11/49.08  | | | | | | | | |   (104)  e21 = e20
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | COMBINE_EQS: (59), (104) imply:
% 245.11/49.08  | | | | | | | | |   (105)  all_24_6 = e20
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (10), (11), (12),
% 245.11/49.08  | | | | | | | | |            (13), (15), (20), (24), (25), (27), (30), (38),
% 245.11/49.08  | | | | | | | | |            (40), (43), (44), (46), (47), (50), (51), (55),
% 245.11/49.08  | | | | | | | | |            (105) are inconsistent by sub-proof #871.
% 245.11/49.08  | | | | | | | | | 
% 245.11/49.08  | | | | | | | | End of split
% 245.11/49.08  | | | | | | | | 
% 245.11/49.08  | | | | | | | End of split
% 245.11/49.08  | | | | | | | 
% 245.11/49.08  | | | | | | End of split
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | Case 2:
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | |   (106)  all_24_22 = e22 & op2(e20, e22) = e22
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (11), (13), (15), (20),
% 245.11/49.08  | | | | | |            (24), (25), (27), (38), (40), (43), (46), (47), (50),
% 245.11/49.08  | | | | | |            (52), (55), (106) are inconsistent by sub-proof #748.
% 245.11/49.08  | | | | | | 
% 245.11/49.08  | | | | | End of split
% 245.11/49.08  | | | | | 
% 245.11/49.08  | | | | End of split
% 245.11/49.08  | | | | 
% 245.11/49.08  | | | End of split
% 245.11/49.08  | | | 
% 245.11/49.08  | | Case 2:
% 245.11/49.08  | | | 
% 245.11/49.08  | | |   (107)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 245.11/49.08  | | |            op2(e20, e24) = e21)
% 245.11/49.08  | | | 
% 245.11/49.09  | | | REF_CLOSE: (1), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15),
% 245.11/49.09  | | |            (17), (18), (20), (22), (23), (24), (25), (27), (30), (32),
% 245.11/49.09  | | |            (35), (36), (37), (40), (43), (44), (46), (47), (48), (50),
% 245.11/49.09  | | |            (53), (54), (55), (107) are inconsistent by sub-proof #743.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #743 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_20 = e24
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)   ~ (e23 = e21)
% 245.11/49.09    (4)  op2(e23, e21) = e24
% 245.11/49.09    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.09           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.09           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.09    (6)  op2(e23, e23) = e21
% 245.11/49.09    (7)  all_24_2 = e22
% 245.11/49.09    (8)   ~ (e23 = e22)
% 245.11/49.09    (9)   ~ (e22 = e20)
% 245.11/49.09    (10)  op2(e21, e23) = all_16_8
% 245.11/49.09    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (12)  all_24_7 = e24
% 245.11/49.09    (13)  all_24_21 = e23
% 245.11/49.09    (14)   ~ (e23 = e20)
% 245.11/49.09    (15)   ~ (all_16_7 = e23)
% 245.11/49.09    (16)  op2(e24, e23) = e22
% 245.11/49.09    (17)   ~ (e24 = e21)
% 245.11/49.09    (18)   ~ (e22 = e21)
% 245.11/49.09    (19)  op2(e23, e22) = e20
% 245.11/49.09    (20)  all_24_12 = e23
% 245.11/49.09    (21)  all_24_1 = e22
% 245.11/49.09    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.09            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.09    (23)   ~ (all_16_8 = e23)
% 245.11/49.09    (24)  op2(e22, e23) = all_16_7
% 245.11/49.09    (25)   ~ (e21 = e20)
% 245.11/49.09    (26)   ~ (e24 = e22)
% 245.11/49.09    (27)  all_24_17 = e23
% 245.11/49.09    (28)   ~ (e24 = e23)
% 245.11/49.09    (29)  op2(e23, e21) = all_10_1
% 245.11/49.09    (30)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20,
% 245.11/49.09              e24) = e21)
% 245.11/49.09    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.09            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.09    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.09            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.09            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.09    (34)  all_24_3 = e21
% 245.11/49.09    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (30) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (36)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (3), (4), (6), (7), (8), (11), (14), (17), (19), (20), (26),
% 245.11/49.09  | |            (27), (28), (29), (32), (35), (36) are inconsistent by sub-proof
% 245.11/49.09  | |            #747.
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (37)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.11/49.09  | | 
% 245.11/49.09  | | ALPHA: (37) implies:
% 245.11/49.09  | |   (38)  all_24_20 = e21
% 245.11/49.09  | | 
% 245.11/49.09  | | COMBINE_EQS: (1), (38) imply:
% 245.11/49.09  | |   (39)  e24 = e21
% 245.11/49.09  | | 
% 245.11/49.09  | | COMBINE_EQS: (12), (39) imply:
% 245.11/49.09  | |   (40)  all_24_7 = e21
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.11/49.09  | |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 245.11/49.09  | |            (27), (28), (29), (31), (32), (33), (34), (35), (40) are
% 245.11/49.09  | |            inconsistent by sub-proof #744.
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #744 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (e24 = e20)
% 245.11/49.09    (2)   ~ (e23 = e21)
% 245.11/49.09    (3)  op2(e23, e21) = e24
% 245.11/49.09    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.09           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.09           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_2 = e22
% 245.11/49.09    (7)   ~ (e23 = e22)
% 245.11/49.09    (8)   ~ (e22 = e20)
% 245.11/49.09    (9)  op2(e21, e23) = all_16_8
% 245.11/49.09    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (11)  all_24_21 = e23
% 245.11/49.09    (12)   ~ (e23 = e20)
% 245.11/49.09    (13)   ~ (all_16_7 = e23)
% 245.11/49.09    (14)  op2(e24, e23) = e22
% 245.11/49.09    (15)   ~ (e24 = e21)
% 245.11/49.09    (16)   ~ (e22 = e21)
% 245.11/49.09    (17)  op2(e23, e22) = e20
% 245.11/49.09    (18)  all_24_1 = e22
% 245.11/49.09    (19)  all_24_7 = e21
% 245.11/49.09    (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.09            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.09    (21)   ~ (all_16_8 = e23)
% 245.11/49.09    (22)  op2(e22, e23) = all_16_7
% 245.11/49.09    (23)   ~ (e21 = e20)
% 245.11/49.09    (24)   ~ (e24 = e22)
% 245.11/49.09    (25)  all_24_17 = e23
% 245.11/49.09    (26)   ~ (e24 = e23)
% 245.11/49.09    (27)  op2(e23, e21) = all_10_1
% 245.11/49.09    (28)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.09            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.09    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (30)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.09            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.09            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.09    (31)  all_24_3 = e21
% 245.11/49.09    (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (20) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (33)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 245.11/49.09  | |             e23) = e24)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (33) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (34)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (18), (24), (34) are inconsistent by sub-proof #870.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (35)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (15), (31), (35) are inconsistent by sub-proof #896.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (36)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 245.11/49.09  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (36) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (37)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | ALPHA: (37) implies:
% 245.11/49.09  | | |   (38)  all_24_7 = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | COMBINE_EQS: (19), (38) imply:
% 245.11/49.09  | | |   (39)  e24 = e21
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REDUCE: (15), (39) imply:
% 245.11/49.09  | | |   (40)  $false
% 245.11/49.09  | | | 
% 245.11/49.09  | | | CLOSE: (40) is inconsistent.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (41)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.11/49.09  | | |           op2(e20, e23) = e24)
% 245.11/49.09  | | | 
% 245.11/49.09  | | | BETA: splitting (41) gives:
% 245.11/49.09  | | | 
% 245.11/49.09  | | | Case 1:
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | |   (42)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | ALPHA: (42) implies:
% 245.11/49.09  | | | |   (43)  all_24_13 = e24
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12),
% 245.11/49.09  | | | |            (14), (15), (16), (17), (19), (23), (24), (25), (26), (27),
% 245.11/49.09  | | | |            (29), (30), (32), (43) are inconsistent by sub-proof #745.
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | Case 2:
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | |   (44)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | REF_CLOSE: (2), (5), (7), (9), (10), (13), (14), (21), (22), (26), (28),
% 245.11/49.09  | | | |            (44) are inconsistent by sub-proof #837.
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | End of split
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #745 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (e24 = e20)
% 245.11/49.09    (2)   ~ (e23 = e21)
% 245.11/49.09    (3)  op2(e23, e21) = e24
% 245.11/49.09    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.09           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.09           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_2 = e22
% 245.11/49.09    (7)   ~ (e23 = e22)
% 245.11/49.09    (8)   ~ (e22 = e20)
% 245.11/49.09    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (10)  all_24_21 = e23
% 245.11/49.09    (11)   ~ (e23 = e20)
% 245.11/49.09    (12)  op2(e24, e23) = e22
% 245.11/49.09    (13)   ~ (e24 = e21)
% 245.11/49.09    (14)   ~ (e22 = e21)
% 245.11/49.09    (15)  op2(e23, e22) = e20
% 245.11/49.09    (16)  all_24_13 = e24
% 245.11/49.09    (17)  all_24_7 = e21
% 245.11/49.09    (18)   ~ (e21 = e20)
% 245.11/49.09    (19)   ~ (e24 = e22)
% 245.11/49.09    (20)  all_24_17 = e23
% 245.11/49.09    (21)   ~ (e24 = e23)
% 245.11/49.09    (22)  op2(e23, e21) = all_10_1
% 245.11/49.09    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (24)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.09            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.09            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.09    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (24) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (26)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 245.11/49.09  | |             e23) = e20)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (26) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (27)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (8), (9), (12), (27) are inconsistent by sub-proof #911.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (28)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (5), (9), (18), (28) are inconsistent by sub-proof #1306.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (29)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 245.11/49.09  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (29) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (30)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.11/49.09  | | | 
% 245.11/49.09  | | | ALPHA: (30) implies:
% 245.11/49.09  | | |   (31)  all_24_7 = e20
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (17), (18), (31) are inconsistent by sub-proof #746.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (32)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 245.11/49.09  | | |           op2(e20, e23) = e20)
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14),
% 245.11/49.09  | | |            (15), (16), (18), (19), (20), (21), (22), (23), (25), (32) are
% 245.11/49.09  | | |            inconsistent by sub-proof #832.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #746 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_7 = e21
% 245.11/49.09    (2)  all_24_7 = e20
% 245.11/49.09    (3)   ~ (e21 = e20)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.09  |   (4)  e21 = e20
% 245.11/49.09  | 
% 245.11/49.09  | SIMP: (4) implies:
% 245.11/49.09  |   (5)  e21 = e20
% 245.11/49.09  | 
% 245.11/49.09  | REDUCE: (3), (5) imply:
% 245.11/49.09  |   (6)  $false
% 245.11/49.09  | 
% 245.11/49.09  | CLOSE: (6) is inconsistent.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #747 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (e23 = e21)
% 245.11/49.09    (2)  op2(e23, e21) = e24
% 245.11/49.09    (3)  op2(e23, e23) = e21
% 245.11/49.09    (4)  all_24_2 = e22
% 245.11/49.09    (5)   ~ (e23 = e22)
% 245.11/49.09    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (7)   ~ (e23 = e20)
% 245.11/49.09    (8)   ~ (e24 = e21)
% 245.11/49.09    (9)  op2(e23, e22) = e20
% 245.11/49.09    (10)  all_24_12 = e23
% 245.11/49.09    (11)   ~ (e24 = e22)
% 245.11/49.09    (12)  all_24_17 = e23
% 245.11/49.09    (13)   ~ (e24 = e23)
% 245.11/49.09    (14)  op2(e23, e21) = all_10_1
% 245.11/49.09    (15)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.11/49.09    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | ALPHA: (15) implies:
% 245.11/49.09  |   (18)  all_24_12 = e21
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (10), (18) imply:
% 245.11/49.09  |   (19)  e23 = e21
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (12), (19) imply:
% 245.11/49.09  |   (20)  all_24_17 = e21
% 245.11/49.09  | 
% 245.11/49.09  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14),
% 245.11/49.09  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #748 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (e24 = e20)
% 245.11/49.09    (2)   ~ (e23 = e21)
% 245.11/49.09    (3)  op2(e23, e21) = e24
% 245.11/49.09    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.09           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.09           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_2 = e22
% 245.11/49.09    (7)   ~ (e23 = e22)
% 245.11/49.09    (8)   ~ (e22 = e20)
% 245.11/49.09    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (10)   ~ (e23 = e20)
% 245.11/49.09    (11)   ~ (e24 = e21)
% 245.11/49.09    (12)   ~ (e22 = e21)
% 245.11/49.09    (13)  op2(e23, e22) = e20
% 245.11/49.09    (14)  all_24_22 = e22 & op2(e20, e22) = e22
% 245.11/49.09    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.09            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.09            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.09    (16)   ~ (e21 = e20)
% 245.11/49.09    (17)   ~ (e24 = e22)
% 245.11/49.09    (18)   ~ (e24 = e23)
% 245.11/49.09    (19)  op2(e23, e21) = all_10_1
% 245.11/49.09    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (21)  all_24_22 = e20
% 245.11/49.09    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | ALPHA: (14) implies:
% 245.11/49.09  |   (23)  all_24_22 = e22
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (21), (23) imply:
% 245.11/49.09  |   (24)  e22 = e20
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (6), (24) imply:
% 245.11/49.09  |   (25)  all_24_2 = e20
% 245.11/49.09  | 
% 245.11/49.09  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.09  |            (15), (16), (17), (18), (19), (20), (22), (25) are inconsistent by
% 245.11/49.09  |            sub-proof #1307.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #749 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_14 = e22
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)   ~ (e23 = e21)
% 245.11/49.09    (4)  op2(e23, e21) = e24
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_2 = e22
% 245.11/49.09    (7)   ~ (e23 = e22)
% 245.11/49.09    (8)   ~ (e22 = e20)
% 245.11/49.09    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (10)   ~ (e23 = e20)
% 245.11/49.09    (11)   ~ (e24 = e21)
% 245.11/49.09    (12)   ~ (e22 = e21)
% 245.11/49.09    (13)  op2(e23, e22) = e20
% 245.11/49.09    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.09            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.09            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.09    (15)   ~ (e24 = e22)
% 245.11/49.09    (16)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.11/49.09    (17)   ~ (e24 = e23)
% 245.11/49.09    (18)  op2(e23, e21) = all_10_1
% 245.11/49.09    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (20)  all_24_5 = e20
% 245.11/49.09    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | ALPHA: (16) implies:
% 245.11/49.09  |   (22)  all_24_14 = e21
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (1), (22) imply:
% 245.11/49.09  |   (23)  e22 = e21
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (6), (23) imply:
% 245.11/49.09  |   (24)  all_24_2 = e21
% 245.11/49.09  | 
% 245.11/49.09  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.11/49.09  |            (15), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.11/49.09  |            sub-proof #1298.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #750 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.11/49.09    (2)  all_24_8 = e23
% 245.11/49.09    (3)   ~ (e24 = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | ALPHA: (1) implies:
% 245.11/49.09  |   (4)  all_24_8 = e24
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.09  |   (5)  e24 = e23
% 245.11/49.09  | 
% 245.11/49.09  | SIMP: (5) implies:
% 245.11/49.09  |   (6)  e24 = e23
% 245.11/49.09  | 
% 245.11/49.09  | REDUCE: (3), (6) imply:
% 245.11/49.09  |   (7)  $false
% 245.11/49.09  | 
% 245.11/49.09  | CLOSE: (7) is inconsistent.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #751 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (all_16_15 = e24)
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)  all_24_0 = e20
% 245.11/49.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (5)  all_24_4 = e21
% 245.11/49.09    (6)   ~ (e24 = e21)
% 245.11/49.09    (7)  all_24_1 = e22
% 245.11/49.09    (8)  all_24_16 = e20
% 245.11/49.09    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.11/49.09           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.11/49.09           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.11/49.09    (10)  op2(e24, e21) = all_16_15
% 245.11/49.09    (11)   ~ (e24 = e22)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (9) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (12)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 245.11/49.09  | |             e23) = e24)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (12) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (13)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (2), (3), (13) are inconsistent by sub-proof #863.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (14)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (7), (11), (14) are inconsistent by sub-proof #870.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (15)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 245.11/49.09  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (15) are inconsistent by
% 245.11/49.09  | |            sub-proof #752.
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #752 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (all_16_15 = e24)
% 245.11/49.09    (2)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24, e21)
% 245.11/49.09           = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.11/49.09    (3)   ~ (e24 = e20)
% 245.11/49.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (5)  all_24_4 = e21
% 245.11/49.09    (6)   ~ (e24 = e21)
% 245.11/49.09    (7)  all_24_16 = e20
% 245.11/49.09    (8)  op2(e24, e21) = all_16_15
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (2) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (9)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.11/49.09  | | 
% 245.11/49.09  | | ALPHA: (9) implies:
% 245.11/49.09  | |   (10)  all_24_4 = e24
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #852.
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (11)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24,
% 245.11/49.09  | |             e20) = e24)
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (1), (3), (4), (7), (8), (11) are inconsistent by sub-proof #753.
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #753 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)   ~ (all_16_15 = e24)
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (4)  all_24_16 = e20
% 245.11/49.09    (5)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20)
% 245.11/49.09           = e24)
% 245.11/49.09    (6)  op2(e24, e21) = all_16_15
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (5) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (7)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #862.
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (8)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.11/49.09  | | 
% 245.11/49.09  | | ALPHA: (8) implies:
% 245.11/49.09  | |   (9)  all_24_16 = e24
% 245.11/49.09  | | 
% 245.11/49.09  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #754.
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #754 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_16 = e24
% 245.11/49.09    (2)  all_24_16 = e20
% 245.11/49.09    (3)   ~ (e24 = e20)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.09  |   (4)  e24 = e20
% 245.11/49.09  | 
% 245.11/49.09  | SIMP: (4) implies:
% 245.11/49.09  |   (5)  e24 = e20
% 245.11/49.09  | 
% 245.11/49.09  | REDUCE: (3), (5) imply:
% 245.11/49.09  |   (6)  $false
% 245.11/49.09  | 
% 245.11/49.09  | CLOSE: (6) is inconsistent.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #755 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_14 = e22
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)   ~ (e23 = e21)
% 245.11/49.09    (4)  op2(e23, e21) = e24
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_2 = e22
% 245.11/49.09    (7)   ~ (e23 = e22)
% 245.11/49.09    (8)   ~ (e22 = e20)
% 245.11/49.09    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.09           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.09    (10)   ~ (e23 = e20)
% 245.11/49.09    (11)   ~ (e24 = e21)
% 245.11/49.09    (12)   ~ (e22 = e21)
% 245.11/49.09    (13)  op2(e23, e22) = e20
% 245.11/49.09    (14)  all_24_8 = e23
% 245.11/49.09    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.09            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.09            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.09    (16)   ~ (e21 = e20)
% 245.11/49.09    (17)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.11/49.09            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.11/49.09            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.09    (18)   ~ (e24 = e22)
% 245.11/49.09    (19)  all_24_17 = e23
% 245.11/49.09    (20)   ~ (e24 = e23)
% 245.11/49.09    (21)  op2(e23, e21) = all_10_1
% 245.11/49.09    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.09            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.09            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.09    (23)  all_24_5 = e20
% 245.11/49.09    (24)  all_24_22 = e20
% 245.11/49.09    (25)  all_24_4 = e24
% 245.11/49.09    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.09            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.09            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | BETA: splitting (17) gives:
% 245.11/49.09  | 
% 245.11/49.09  | Case 1:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 245.11/49.09  | |             e22) = e21)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (27) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (28)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (11), (25), (28) are inconsistent by sub-proof #759.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (29)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (9), (13), (16), (29) are inconsistent by sub-proof #1318.
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | Case 2:
% 245.11/49.09  | | 
% 245.11/49.09  | |   (30)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 245.11/49.09  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.11/49.09  | | 
% 245.11/49.09  | | BETA: splitting (30) gives:
% 245.11/49.09  | | 
% 245.11/49.09  | | Case 1:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (31)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.11/49.09  | | | 
% 245.11/49.09  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (13), (14), (18),
% 245.11/49.09  | | |            (19), (20), (21), (22), (26), (31) are inconsistent by
% 245.11/49.09  | | |            sub-proof #758.
% 245.11/49.09  | | | 
% 245.11/49.09  | | Case 2:
% 245.11/49.09  | | | 
% 245.11/49.09  | | |   (32)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 245.11/49.09  | | |           op2(e20, e22) = e21)
% 245.11/49.09  | | | 
% 245.11/49.09  | | | BETA: splitting (32) gives:
% 245.11/49.09  | | | 
% 245.11/49.09  | | | Case 1:
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | |   (33)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | ALPHA: (33) implies:
% 245.11/49.09  | | | |   (34)  all_24_14 = e21
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.11/49.09  | | | |            (12), (13), (15), (18), (20), (21), (22), (23), (26), (34)
% 245.11/49.09  | | | |            are inconsistent by sub-proof #757.
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | Case 2:
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | |   (35)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | | REF_CLOSE: (16), (24), (35) are inconsistent by sub-proof #756.
% 245.11/49.09  | | | | 
% 245.11/49.09  | | | End of split
% 245.11/49.09  | | | 
% 245.11/49.09  | | End of split
% 245.11/49.09  | | 
% 245.11/49.09  | End of split
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #756 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.09    (2)  all_24_22 = e20
% 245.11/49.09    (3)   ~ (e21 = e20)
% 245.11/49.09  
% 245.11/49.09  Begin of proof
% 245.11/49.09  | 
% 245.11/49.09  | ALPHA: (1) implies:
% 245.11/49.09  |   (4)  all_24_22 = e21
% 245.11/49.09  | 
% 245.11/49.09  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.09  |   (5)  e21 = e20
% 245.11/49.09  | 
% 245.11/49.09  | REDUCE: (3), (5) imply:
% 245.11/49.09  |   (6)  $false
% 245.11/49.09  | 
% 245.11/49.09  | CLOSE: (6) is inconsistent.
% 245.11/49.09  | 
% 245.11/49.09  End of proof
% 245.11/49.09  
% 245.11/49.09  Sub-proof #757 shows that the following formulas are inconsistent:
% 245.11/49.09  ----------------------------------------------------------------
% 245.11/49.09    (1)  all_24_14 = e22
% 245.11/49.09    (2)   ~ (e24 = e20)
% 245.11/49.09    (3)   ~ (e23 = e21)
% 245.11/49.09    (4)  op2(e23, e21) = e24
% 245.11/49.09    (5)  op2(e23, e23) = e21
% 245.11/49.09    (6)  all_24_14 = e21
% 245.11/49.09    (7)  all_24_2 = e22
% 245.11/49.10    (8)   ~ (e23 = e22)
% 245.11/49.10    (9)   ~ (e22 = e20)
% 245.11/49.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (11)   ~ (e23 = e20)
% 245.11/49.10    (12)   ~ (e24 = e21)
% 245.11/49.10    (13)   ~ (e22 = e21)
% 245.11/49.10    (14)  op2(e23, e22) = e20
% 245.11/49.10    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.10            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.10            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.10    (16)   ~ (e24 = e22)
% 245.11/49.10    (17)   ~ (e24 = e23)
% 245.11/49.10    (18)  op2(e23, e21) = all_10_1
% 245.11/49.10    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (20)  all_24_5 = e20
% 245.11/49.10    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (1), (6) imply:
% 245.11/49.10  |   (22)  e22 = e21
% 245.11/49.10  | 
% 245.11/49.10  | SIMP: (22) implies:
% 245.11/49.10  |   (23)  e22 = e21
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (7), (23) imply:
% 245.11/49.10  |   (24)  all_24_2 = e21
% 245.11/49.10  | 
% 245.11/49.10  | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (15),
% 245.11/49.10  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.11/49.10  |            sub-proof #1298.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #758 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)   ~ (e23 = e21)
% 245.11/49.10    (2)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.11/49.10    (3)  op2(e23, e21) = e24
% 245.11/49.10    (4)  op2(e23, e23) = e21
% 245.11/49.10    (5)  all_24_2 = e22
% 245.11/49.10    (6)   ~ (e23 = e22)
% 245.11/49.10    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (8)   ~ (e23 = e20)
% 245.11/49.10    (9)   ~ (e24 = e21)
% 245.11/49.10    (10)  op2(e23, e22) = e20
% 245.11/49.10    (11)  all_24_8 = e23
% 245.11/49.10    (12)   ~ (e24 = e22)
% 245.11/49.10    (13)  all_24_17 = e23
% 245.11/49.10    (14)   ~ (e24 = e23)
% 245.11/49.10    (15)  op2(e23, e21) = all_10_1
% 245.11/49.10    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | ALPHA: (2) implies:
% 245.11/49.10  |   (18)  all_24_8 = e21
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (11), (18) imply:
% 245.11/49.10  |   (19)  e23 = e21
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (13), (19) imply:
% 245.11/49.10  |   (20)  all_24_17 = e21
% 245.11/49.10  | 
% 245.11/49.10  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14), (15),
% 245.11/49.10  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #759 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.11/49.10    (2)  all_24_4 = e24
% 245.11/49.10    (3)   ~ (e24 = e21)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | ALPHA: (1) implies:
% 245.11/49.10  |   (4)  all_24_4 = e21
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.10  |   (5)  e24 = e21
% 245.11/49.10  | 
% 245.11/49.10  | REDUCE: (3), (5) imply:
% 245.11/49.10  |   (6)  $false
% 245.11/49.10  | 
% 245.11/49.10  | CLOSE: (6) is inconsistent.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #760 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)   ~ (e24 = e20)
% 245.11/49.10    (2)   ~ (e23 = e21)
% 245.11/49.10    (3)  op2(e23, e21) = e24
% 245.11/49.10    (4)   ~ (all_16_1 = e21)
% 245.11/49.10    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.10           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.10           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.10    (6)  op2(e23, e23) = e21
% 245.11/49.10    (7)  all_24_2 = e22
% 245.11/49.10    (8)   ~ (e23 = e22)
% 245.11/49.10    (9)   ~ (e22 = e20)
% 245.11/49.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (11)  all_24_13 = e20
% 245.11/49.10    (12)  all_24_7 = e24
% 245.11/49.10    (13)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.10    (14)   ~ (e23 = e20)
% 245.11/49.10    (15)  op2(e24, e23) = e22
% 245.11/49.10    (16)   ~ (e24 = e21)
% 245.11/49.10    (17)   ~ (e22 = e21)
% 245.11/49.10    (18)   ~ (all_16_1 = e20)
% 245.11/49.10    (19)  op2(e23, e22) = e20
% 245.11/49.10    (20)   ~ (all_16_1 = e23)
% 245.11/49.10    (21)  all_24_1 = e22
% 245.11/49.10    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.10            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.10    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.10            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.10            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.10    (24)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.11/49.10    (25)   ~ (e21 = e20)
% 245.11/49.10    (26)   ~ (e24 = e22)
% 245.11/49.10    (27)  all_24_17 = e23
% 245.11/49.10    (28)  op2(e23, e24) = all_16_1
% 245.11/49.10    (29)   ~ (e24 = e23)
% 245.11/49.10    (30)  op2(e23, e21) = all_10_1
% 245.11/49.10    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.10            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10    (32)  all_20_5 = all_16_1
% 245.11/49.10    (33)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (34)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.10            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.10            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.10    (35)  all_24_3 = e21
% 245.11/49.10    (36)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | ALPHA: (13) implies:
% 245.11/49.10  |   (37)  all_24_1 = e24
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (21), (37) imply:
% 245.11/49.10  |   (38)  e24 = e22
% 245.11/49.10  | 
% 245.11/49.10  | SIMP: (38) implies:
% 245.11/49.10  |   (39)  e24 = e22
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (12), (39) imply:
% 245.11/49.10  |   (40)  all_24_7 = e22
% 245.11/49.10  | 
% 245.11/49.10  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 245.11/49.10  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.11/49.10  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.11/49.10  |            (40) are inconsistent by sub-proof #761.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #761 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  all_24_7 = e22
% 245.11/49.10    (2)   ~ (e24 = e20)
% 245.11/49.10    (3)   ~ (e23 = e21)
% 245.11/49.10    (4)  op2(e23, e21) = e24
% 245.11/49.10    (5)   ~ (all_16_1 = e21)
% 245.11/49.10    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.10           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.10           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.10    (7)  op2(e23, e23) = e21
% 245.11/49.10    (8)  all_24_2 = e22
% 245.11/49.10    (9)   ~ (e23 = e22)
% 245.11/49.10    (10)   ~ (e22 = e20)
% 245.11/49.10    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (12)  all_24_13 = e20
% 245.11/49.10    (13)   ~ (e23 = e20)
% 245.11/49.10    (14)  op2(e24, e23) = e22
% 245.11/49.10    (15)   ~ (e24 = e21)
% 245.11/49.10    (16)   ~ (e22 = e21)
% 245.11/49.10    (17)   ~ (all_16_1 = e20)
% 245.11/49.10    (18)  op2(e23, e22) = e20
% 245.11/49.10    (19)   ~ (all_16_1 = e23)
% 245.11/49.10    (20)  all_24_1 = e22
% 245.11/49.10    (21)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.10            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.10    (22)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.10            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.10            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.10    (23)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.11/49.10    (24)   ~ (e21 = e20)
% 245.11/49.10    (25)   ~ (e24 = e22)
% 245.11/49.10    (26)  all_24_17 = e23
% 245.11/49.10    (27)  op2(e23, e24) = all_16_1
% 245.11/49.10    (28)   ~ (e24 = e23)
% 245.11/49.10    (29)  op2(e23, e21) = all_10_1
% 245.11/49.10    (30)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.10            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10    (31)  all_20_5 = all_16_1
% 245.11/49.10    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.10            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.10            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.10    (34)  all_24_3 = e21
% 245.11/49.10    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | BETA: splitting (30) gives:
% 245.11/49.10  | 
% 245.11/49.10  | Case 1:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (36)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 245.11/49.10  | |             e23) = e23)
% 245.11/49.10  | | 
% 245.11/49.10  | | REF_CLOSE: (3), (7), (9), (11), (14), (36) are inconsistent by sub-proof
% 245.11/49.10  | |            #955.
% 245.11/49.10  | | 
% 245.11/49.10  | Case 2:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (37)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 245.11/49.10  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10  | | 
% 245.11/49.10  | | BETA: splitting (37) gives:
% 245.11/49.10  | | 
% 245.11/49.10  | | Case 1:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (38)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.11/49.10  | | | 
% 245.11/49.10  | | | ALPHA: (38) implies:
% 245.11/49.10  | | |   (39)  all_24_7 = e23
% 245.11/49.10  | | | 
% 245.11/49.10  | | | COMBINE_EQS: (1), (39) imply:
% 245.11/49.10  | | |   (40)  e23 = e22
% 245.11/49.10  | | | 
% 245.11/49.10  | | | REF_CLOSE: (3), (4), (5), (7), (9), (11), (13), (17), (18), (19), (23),
% 245.11/49.10  | | |            (26), (27), (28), (29), (31), (35), (40) are inconsistent by
% 245.11/49.10  | | |            sub-proof #810.
% 245.11/49.10  | | | 
% 245.11/49.10  | | Case 2:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (41)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 245.11/49.10  | | |           op2(e20, e23) = e23)
% 245.11/49.10  | | | 
% 245.11/49.10  | | | BETA: splitting (41) gives:
% 245.11/49.10  | | | 
% 245.11/49.10  | | | Case 1:
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | |   (42)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | ALPHA: (42) implies:
% 245.11/49.10  | | | |   (43)  all_24_13 = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | BETA: splitting (21) gives:
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | Case 1:
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | |   (44)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 &
% 245.11/49.10  | | | | |           op2(e23, e23) = e24)
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | | BETA: splitting (44) gives:
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | | Case 1:
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | |   (45)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | REF_CLOSE: (20), (25), (45) are inconsistent by sub-proof #870.
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | Case 2:
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | |   (46)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | REF_CLOSE: (15), (34), (46) are inconsistent by sub-proof #1323.
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | End of split
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | Case 2:
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | |   (47)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.10  | | | | |           op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) =
% 245.11/49.10  | | | | |           e24)
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | | BETA: splitting (47) gives:
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | | Case 1:
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | |   (48)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | ALPHA: (48) implies:
% 245.11/49.10  | | | | | |   (49)  all_24_7 = e24
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | COMBINE_EQS: (1), (49) imply:
% 245.11/49.10  | | | | | |   (50)  e24 = e22
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | REDUCE: (25), (50) imply:
% 245.11/49.10  | | | | | |   (51)  $false
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | CLOSE: (51) is inconsistent.
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | Case 2:
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | |   (52)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.11/49.10  | | | | | |           op2(e20, e23) = e24)
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | BETA: splitting (52) gives:
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | | Case 1:
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | |   (53)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | | REF_CLOSE: (28), (43), (53) are inconsistent by sub-proof #762.
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | Case 2:
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | |   (54)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | | ALPHA: (54) implies:
% 245.11/49.10  | | | | | | |   (55)  all_24_21 = e24
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | | BETA: splitting (33) gives:
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | | Case 1:
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | |   (56)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20
% 245.11/49.10  | | | | | | | |           & op2(e23, e23) = e20)
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | | BETA: splitting (56) gives:
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | | Case 1:
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | |   (57)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | REF_CLOSE: (10), (11), (14), (57) are inconsistent by
% 245.11/49.10  | | | | | | | | |            sub-proof #911.
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | Case 2:
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | |   (58)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | REF_CLOSE: (7), (11), (24), (58) are inconsistent by sub-proof
% 245.11/49.10  | | | | | | | | |            #1306.
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | End of split
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | Case 2:
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | |   (59)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 =
% 245.11/49.10  | | | | | | | |           e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 245.11/49.10  | | | | | | | |           op2(e20, e23) = e20)
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | | BETA: splitting (59) gives:
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | | Case 1:
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | |   (60)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11),
% 245.11/49.10  | | | | | | | | |            (13), (15), (16), (18), (22), (24), (25), (28),
% 245.11/49.10  | | | | | | | | |            (29), (32), (35), (60) are inconsistent by
% 245.11/49.10  | | | | | | | | |            sub-proof #815.
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | Case 2:
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | |   (61)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 =
% 245.11/49.10  | | | | | | | | |           e20 & op2(e20, e23) = e20)
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | BETA: splitting (61) gives:
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | Case 1:
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | |   (62)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | COMBINE_EQS: (12), (43) imply:
% 245.11/49.10  | | | | | | | | | |   (63)  e23 = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (11), (13),
% 245.11/49.10  | | | | | | | | | |            (15), (16), (18), (24), (25), (26), (28), (29),
% 245.11/49.10  | | | | | | | | | |            (32), (35), (63) are inconsistent by sub-proof
% 245.11/49.10  | | | | | | | | | |            #833.
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | Case 2:
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | |   (64)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | ALPHA: (64) implies:
% 245.11/49.10  | | | | | | | | | |   (65)  all_24_21 = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | COMBINE_EQS: (55), (65) imply:
% 245.11/49.10  | | | | | | | | | |   (66)  e24 = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | SIMP: (66) implies:
% 245.11/49.10  | | | | | | | | | |   (67)  e24 = e20
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | REDUCE: (2), (67) imply:
% 245.11/49.10  | | | | | | | | | |   (68)  $false
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | | CLOSE: (68) is inconsistent.
% 245.11/49.10  | | | | | | | | | | 
% 245.11/49.10  | | | | | | | | | End of split
% 245.11/49.10  | | | | | | | | | 
% 245.11/49.10  | | | | | | | | End of split
% 245.11/49.10  | | | | | | | | 
% 245.11/49.10  | | | | | | | End of split
% 245.11/49.10  | | | | | | | 
% 245.11/49.10  | | | | | | End of split
% 245.11/49.10  | | | | | | 
% 245.11/49.10  | | | | | End of split
% 245.11/49.10  | | | | | 
% 245.11/49.10  | | | | End of split
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | Case 2:
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | |   (69)  all_24_21 = e23 & op2(e20, e23) = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | ALPHA: (69) implies:
% 245.11/49.10  | | | |   (70)  all_24_21 = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | REF_CLOSE: (1), (2), (12), (15), (20), (21), (25), (28), (34), (70) are
% 245.11/49.10  | | | |            inconsistent by sub-proof #813.
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | End of split
% 245.11/49.10  | | | 
% 245.11/49.10  | | End of split
% 245.11/49.10  | | 
% 245.11/49.10  | End of split
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #762 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.11/49.10    (2)  all_24_13 = e23
% 245.11/49.10    (3)   ~ (e24 = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | ALPHA: (1) implies:
% 245.11/49.10  |   (4)  all_24_13 = e24
% 245.11/49.10  | 
% 245.11/49.10  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.10  |   (5)  e24 = e23
% 245.11/49.10  | 
% 245.11/49.10  | REDUCE: (3), (5) imply:
% 245.11/49.10  |   (6)  $false
% 245.11/49.10  | 
% 245.11/49.10  | CLOSE: (6) is inconsistent.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #763 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.11/49.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (3)  op2(e20, e22) = e22
% 245.11/49.10    (4)   ~ (e22 = e21)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | ALPHA: (1) implies:
% 245.11/49.10  |   (5)  op2(e20, e22) = e21
% 245.11/49.10  | 
% 245.11/49.10  | GROUND_INST: instantiating (2) with e21, e22, e22, e20, simplifying with (3),
% 245.11/49.10  |              (5) gives:
% 245.11/49.10  |   (6)  e22 = e21
% 245.11/49.10  | 
% 245.11/49.10  | REDUCE: (4), (6) imply:
% 245.11/49.10  |   (7)  $false
% 245.11/49.10  | 
% 245.11/49.10  | CLOSE: (7) is inconsistent.
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #764 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  op2(e24, e22) = all_16_10
% 245.11/49.10    (2)  all_24_24 = e20
% 245.11/49.10    (3)  op2(unit2, e24) = e24
% 245.11/49.10    (4)  op2(e23, unit2) = e23
% 245.11/49.10    (5)   ~ (unit2 = e23)
% 245.11/49.10    (6)   ~ (e24 = e20)
% 245.11/49.10    (7)   ~ (e23 = e21)
% 245.11/49.10    (8)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.11/49.10             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.11/49.10           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.10    (9)  op2(e23, e21) = e24
% 245.11/49.10    (10)   ~ (all_16_19 = e20)
% 245.11/49.10    (11)  op2(e23, e23) = e21
% 245.11/49.10    (12)  all_24_2 = e22
% 245.11/49.10    (13)   ~ (e23 = e22)
% 245.11/49.10    (14)  op2(e20, unit2) = e20
% 245.11/49.10    (15)  op2(e21, e23) = all_16_8
% 245.11/49.10    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (17)   ~ (e23 = e20)
% 245.11/49.10    (18)   ~ (all_16_7 = e23)
% 245.11/49.10    (19)  op2(e24, e23) = e22
% 245.11/49.10    (20)   ~ (all_16_10 = e22)
% 245.11/49.10    (21)   ~ (e24 = e21)
% 245.11/49.10    (22)  op2(e20, e22) = all_16_14
% 245.11/49.10    (23)   ~ (e22 = e21)
% 245.11/49.10    (24)  op2(e23, e22) = e20
% 245.11/49.10    (25)   ~ (all_16_14 = e20)
% 245.11/49.10    (26)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.10    (27)  (all_24_20 = e21 & op2(e20, e24) = e21) | (all_24_21 = e21 & op2(e20,
% 245.11/49.10              e23) = e21)
% 245.11/49.10    (28)   ~ (all_16_8 = e23)
% 245.11/49.10    (29)  op2(e22, e23) = all_16_7
% 245.11/49.10    (30)   ~ (all_16_19 = e24)
% 245.11/49.10    (31)  op2(unit2, e22) = e22
% 245.11/49.10    (32)   ~ (e24 = e22)
% 245.11/49.10    (33)  all_24_17 = e23
% 245.11/49.10    (34)   ~ (e24 = e23)
% 245.11/49.10    (35)  op2(e23, e21) = all_10_1
% 245.11/49.10    (36)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.10            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10    (37)  op2(e20, e21) = all_16_19
% 245.11/49.10    (38)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (39)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | BETA: splitting (27) gives:
% 245.11/49.10  | 
% 245.11/49.10  | Case 1:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (40)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.11/49.10  | | 
% 245.11/49.10  | | ALPHA: (40) implies:
% 245.11/49.10  | |   (41)  all_24_20 = e21
% 245.11/49.10  | |   (42)  op2(e20, e24) = e21
% 245.11/49.10  | | 
% 245.11/49.10  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 245.11/49.10  | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (25), (26),
% 245.11/49.10  | |            (28), (29), (30), (31), (34), (35), (36), (37), (41), (42) are
% 245.11/49.10  | |            inconsistent by sub-proof #766.
% 245.11/49.10  | | 
% 245.11/49.10  | Case 2:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (43)  all_24_21 = e21 & op2(e20, e23) = e21
% 245.11/49.10  | | 
% 245.11/49.10  | | ALPHA: (43) implies:
% 245.11/49.10  | |   (44)  all_24_21 = e21
% 245.11/49.10  | | 
% 245.11/49.10  | | REF_CLOSE: (7), (9), (11), (12), (13), (15), (16), (17), (18), (19), (21),
% 245.11/49.10  | |            (24), (28), (29), (32), (33), (34), (35), (36), (38), (39), (44)
% 245.11/49.10  | |            are inconsistent by sub-proof #765.
% 245.11/49.10  | | 
% 245.11/49.10  | End of split
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #765 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)   ~ (e23 = e21)
% 245.11/49.10    (2)  op2(e23, e21) = e24
% 245.11/49.10    (3)  op2(e23, e23) = e21
% 245.11/49.10    (4)  all_24_2 = e22
% 245.11/49.10    (5)   ~ (e23 = e22)
% 245.11/49.10    (6)  op2(e21, e23) = all_16_8
% 245.11/49.10    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (8)   ~ (e23 = e20)
% 245.11/49.10    (9)   ~ (all_16_7 = e23)
% 245.11/49.10    (10)  op2(e24, e23) = e22
% 245.11/49.10    (11)   ~ (e24 = e21)
% 245.11/49.10    (12)  op2(e23, e22) = e20
% 245.11/49.10    (13)   ~ (all_16_8 = e23)
% 245.11/49.10    (14)  op2(e22, e23) = all_16_7
% 245.11/49.10    (15)  all_24_21 = e21
% 245.11/49.10    (16)   ~ (e24 = e22)
% 245.11/49.10    (17)  all_24_17 = e23
% 245.11/49.10    (18)   ~ (e24 = e23)
% 245.11/49.10    (19)  op2(e23, e21) = all_10_1
% 245.11/49.10    (20)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.10            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.10            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.10            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.10    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.10            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | BETA: splitting (20) gives:
% 245.11/49.10  | 
% 245.11/49.10  | Case 1:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (23)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 245.11/49.10  | |             e23) = e23)
% 245.11/49.10  | | 
% 245.11/49.10  | | REF_CLOSE: (1), (3), (5), (7), (10), (23) are inconsistent by sub-proof
% 245.11/49.10  | |            #955.
% 245.11/49.10  | | 
% 245.11/49.10  | Case 2:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (24)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 245.11/49.10  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10  | | 
% 245.11/49.10  | | BETA: splitting (24) gives:
% 245.11/49.10  | | 
% 245.11/49.10  | | Case 1:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (25)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.11/49.10  | | | 
% 245.11/49.10  | | | REF_CLOSE: (7), (9), (14), (25) are inconsistent by sub-proof #954.
% 245.11/49.10  | | | 
% 245.11/49.10  | | Case 2:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (26)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 245.11/49.10  | | |           op2(e20, e23) = e23)
% 245.11/49.10  | | | 
% 245.11/49.10  | | | BETA: splitting (26) gives:
% 245.11/49.10  | | | 
% 245.11/49.10  | | | Case 1:
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | |   (27)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | REF_CLOSE: (6), (7), (13), (27) are inconsistent by sub-proof #953.
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | Case 2:
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | |   (28)  all_24_21 = e23 & op2(e20, e23) = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | ALPHA: (28) implies:
% 245.11/49.10  | | | |   (29)  all_24_21 = e23
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | COMBINE_EQS: (15), (29) imply:
% 245.11/49.10  | | | |   (30)  e23 = e21
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | SIMP: (30) implies:
% 245.11/49.10  | | | |   (31)  e23 = e21
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | COMBINE_EQS: (17), (31) imply:
% 245.11/49.10  | | | |   (32)  all_24_17 = e21
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (12), (16), (18),
% 245.11/49.10  | | | |            (19), (21), (22), (32) are inconsistent by sub-proof #874.
% 245.11/49.10  | | | | 
% 245.11/49.10  | | | End of split
% 245.11/49.10  | | | 
% 245.11/49.10  | | End of split
% 245.11/49.10  | | 
% 245.11/49.10  | End of split
% 245.11/49.10  | 
% 245.11/49.10  End of proof
% 245.11/49.10  
% 245.11/49.10  Sub-proof #766 shows that the following formulas are inconsistent:
% 245.11/49.10  ----------------------------------------------------------------
% 245.11/49.10    (1)  op2(e24, e22) = all_16_10
% 245.11/49.10    (2)  all_24_24 = e20
% 245.11/49.10    (3)  op2(unit2, e24) = e24
% 245.11/49.10    (4)  op2(e23, unit2) = e23
% 245.11/49.10    (5)   ~ (unit2 = e23)
% 245.11/49.10    (6)   ~ (e24 = e20)
% 245.11/49.10    (7)   ~ (e23 = e21)
% 245.11/49.10    (8)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 & op2(e20,
% 245.11/49.10             e23) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 =
% 245.11/49.10           e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.10    (9)  op2(e23, e21) = e24
% 245.11/49.10    (10)   ~ (all_16_19 = e20)
% 245.11/49.10    (11)  op2(e23, e23) = e21
% 245.11/49.10    (12)   ~ (e23 = e22)
% 245.11/49.10    (13)  op2(e20, unit2) = e20
% 245.11/49.10    (14)  op2(e21, e23) = all_16_8
% 245.11/49.10    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.10            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.10    (16)   ~ (all_16_7 = e23)
% 245.11/49.10    (17)  op2(e24, e23) = e22
% 245.11/49.10    (18)   ~ (all_16_10 = e22)
% 245.11/49.10    (19)   ~ (e24 = e21)
% 245.11/49.10    (20)  op2(e20, e22) = all_16_14
% 245.11/49.10    (21)   ~ (e22 = e21)
% 245.11/49.10    (22)   ~ (all_16_14 = e20)
% 245.11/49.10    (23)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.10    (24)   ~ (all_16_8 = e23)
% 245.11/49.10    (25)  op2(e22, e23) = all_16_7
% 245.11/49.10    (26)  all_24_20 = e21
% 245.11/49.10    (27)   ~ (all_16_19 = e24)
% 245.11/49.10    (28)  op2(unit2, e22) = e22
% 245.11/49.10    (29)   ~ (e24 = e23)
% 245.11/49.10    (30)  op2(e23, e21) = all_10_1
% 245.11/49.10    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.10            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.10            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.10    (32)  op2(e20, e21) = all_16_19
% 245.11/49.10    (33)  op2(e20, e24) = e21
% 245.11/49.10  
% 245.11/49.10  Begin of proof
% 245.11/49.10  | 
% 245.11/49.10  | BETA: splitting (8) gives:
% 245.11/49.10  | 
% 245.11/49.10  | Case 1:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (34)  (all_24_20 = e24 & op2(e20, e24) = e24) | (all_24_21 = e24 &
% 245.11/49.10  | |           op2(e20, e23) = e24)
% 245.11/49.10  | | 
% 245.11/49.10  | | BETA: splitting (34) gives:
% 245.11/49.10  | | 
% 245.11/49.10  | | Case 1:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (35)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.11/49.10  | | | 
% 245.11/49.10  | | | REF_CLOSE: (19), (26), (35) are inconsistent by sub-proof #823.
% 245.11/49.10  | | | 
% 245.11/49.10  | | Case 2:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (36)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.11/49.10  | | | 
% 245.11/49.10  | | | REF_CLOSE: (7), (11), (12), (14), (15), (16), (17), (24), (25), (29),
% 245.11/49.10  | | |            (31), (36) are inconsistent by sub-proof #837.
% 245.11/49.10  | | | 
% 245.11/49.10  | | End of split
% 245.11/49.10  | | 
% 245.11/49.10  | Case 2:
% 245.11/49.10  | | 
% 245.11/49.10  | |   (37)  (all_24_22 = e24 & op2(e20, e22) = e24) | (all_24_23 = e24 &
% 245.11/49.10  | |           op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20, e20) = e24)
% 245.11/49.10  | | 
% 245.11/49.10  | | BETA: splitting (37) gives:
% 245.11/49.10  | | 
% 245.11/49.10  | | Case 1:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (38)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.11/49.10  | | | 
% 245.11/49.10  | | | ALPHA: (38) implies:
% 245.11/49.10  | | |   (39)  op2(e20, e22) = e24
% 245.11/49.10  | | | 
% 245.11/49.10  | | | REF_CLOSE: (1), (3), (4), (5), (9), (10), (13), (15), (18), (20), (21),
% 245.11/49.10  | | |            (22), (23), (28), (30), (32), (33), (39) are inconsistent by
% 245.11/49.10  | | |            sub-proof #770.
% 245.11/49.10  | | | 
% 245.11/49.10  | | Case 2:
% 245.11/49.10  | | | 
% 245.11/49.10  | | |   (40)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 &
% 245.11/49.10  | | |           op2(e20, e20) = e24)
% 245.11/49.10  | | | 
% 245.11/49.11  | | | REF_CLOSE: (2), (6), (15), (27), (32), (40) are inconsistent by sub-proof
% 245.11/49.11  | | |            #767.
% 245.11/49.11  | | | 
% 245.11/49.11  | | End of split
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #767 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  all_24_24 = e20
% 245.11/49.11    (2)  (all_24_23 = e24 & op2(e20, e21) = e24) | (all_24_24 = e24 & op2(e20,
% 245.11/49.11             e20) = e24)
% 245.11/49.11    (3)   ~ (e24 = e20)
% 245.11/49.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (5)   ~ (all_16_19 = e24)
% 245.11/49.11    (6)  op2(e20, e21) = all_16_19
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (2) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (7)  all_24_23 = e24 & op2(e20, e21) = e24
% 245.11/49.11  | | 
% 245.11/49.11  | | ALPHA: (7) implies:
% 245.11/49.11  | |   (8)  op2(e20, e21) = e24
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #769.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (9)  all_24_24 = e24 & op2(e20, e20) = e24
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #768.
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #768 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  all_24_24 = e24 & op2(e20, e20) = e24
% 245.11/49.11    (2)  all_24_24 = e20
% 245.11/49.11    (3)   ~ (e24 = e20)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | ALPHA: (1) implies:
% 245.11/49.11  |   (4)  all_24_24 = e24
% 245.11/49.11  | 
% 245.11/49.11  | COMBINE_EQS: (2), (4) imply:
% 245.11/49.11  |   (5)  e24 = e20
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (3), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #769 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (2)  op2(e20, e21) = all_16_19
% 245.11/49.11    (3)  op2(e20, e21) = e24
% 245.11/49.11    (4)   ~ (all_16_19 = e24)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (1) with all_16_19, e24, e21, e20, simplifying with
% 245.11/49.11  |              (2), (3) gives:
% 245.11/49.11  |   (5)  all_16_19 = e24
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (4), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #770 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e24, e22) = all_16_10
% 245.11/49.11    (2)  op2(unit2, e24) = e24
% 245.11/49.11    (3)  op2(e23, unit2) = e23
% 245.11/49.11    (4)   ~ (unit2 = e23)
% 245.11/49.11    (5)  op2(e23, e21) = e24
% 245.11/49.11    (6)   ~ (all_16_19 = e20)
% 245.11/49.11    (7)  op2(e20, unit2) = e20
% 245.11/49.11    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (9)   ~ (all_16_10 = e22)
% 245.11/49.11    (10)  op2(e20, e22) = all_16_14
% 245.11/49.11    (11)   ~ (e22 = e21)
% 245.11/49.11    (12)   ~ (all_16_14 = e20)
% 245.11/49.11    (13)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11    (14)  op2(e20, e22) = e24
% 245.11/49.11    (15)  op2(unit2, e22) = e22
% 245.11/49.11    (16)  op2(e23, e21) = all_10_1
% 245.11/49.11    (17)  op2(e20, e21) = all_16_19
% 245.11/49.11    (18)  op2(e20, e24) = e21
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (13) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (19)  unit2 = e24
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14),
% 245.11/49.11  | |            (15), (16), (19) are inconsistent by sub-proof #771.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (20)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | BETA: splitting (20) gives:
% 245.11/49.11  | | 
% 245.11/49.11  | | Case 1:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (21)  unit2 = e22
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (7), (21) imply:
% 245.11/49.11  | | |   (22)  op2(e20, e22) = e20
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (8), (10), (12), (22) are inconsistent by sub-proof #961.
% 245.11/49.11  | | | 
% 245.11/49.11  | | Case 2:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (23)  unit2 = e21 | unit2 = e20
% 245.11/49.11  | | | 
% 245.11/49.11  | | | BETA: splitting (23) gives:
% 245.11/49.11  | | | 
% 245.11/49.11  | | | Case 1:
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | |   (24)  unit2 = e21
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REDUCE: (7), (24) imply:
% 245.11/49.11  | | | |   (25)  op2(e20, e21) = e20
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REF_CLOSE: (6), (8), (17), (25) are inconsistent by sub-proof #960.
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | Case 2:
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | |   (26)  unit2 = e20
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REDUCE: (2), (26) imply:
% 245.11/49.11  | | | |   (27)  op2(e20, e24) = e24
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REDUCE: (15), (26) imply:
% 245.11/49.11  | | | |   (28)  op2(e20, e22) = e22
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | GROUND_INST: instantiating (8) with e24, e22, e22, e20, simplifying with
% 245.11/49.11  | | | |              (14), (28) gives:
% 245.11/49.11  | | | |   (29)  e24 = e22
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | GROUND_INST: instantiating (8) with e21, e24, e24, e20, simplifying with
% 245.11/49.11  | | | |              (18), (27) gives:
% 245.11/49.11  | | | |   (30)  e24 = e21
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | COMBINE_EQS: (29), (30) imply:
% 245.11/49.11  | | | |   (31)  e22 = e21
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REDUCE: (11), (31) imply:
% 245.11/49.11  | | | |   (32)  $false
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | CLOSE: (32) is inconsistent.
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | End of split
% 245.11/49.11  | | | 
% 245.11/49.11  | | End of split
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #771 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e24, e22) = all_16_10
% 245.11/49.11    (2)  op2(unit2, e24) = e24
% 245.11/49.11    (3)  op2(e23, unit2) = e23
% 245.11/49.11    (4)   ~ (unit2 = e23)
% 245.11/49.11    (5)  op2(e23, e21) = e24
% 245.11/49.11    (6)  op2(e20, unit2) = e20
% 245.11/49.11    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (8)   ~ (all_16_10 = e22)
% 245.11/49.11    (9)  op2(e20, e22) = all_16_14
% 245.11/49.11    (10)   ~ (all_16_14 = e20)
% 245.11/49.11    (11)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11    (12)  op2(e20, e22) = e24
% 245.11/49.11    (13)  op2(unit2, e22) = e22
% 245.11/49.11    (14)  op2(e23, e21) = all_10_1
% 245.11/49.11    (15)  unit2 = e24
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (4), (15) imply:
% 245.11/49.11  |   (16)   ~ (e24 = e23)
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (6), (15) imply:
% 245.11/49.11  |   (17)  op2(e20, e24) = e20
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (11) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | | 
% 245.11/49.11  | | REDUCE: (13), (15) imply:
% 245.11/49.11  | |   (18)  op2(e24, e22) = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (1), (7), (8), (18) are inconsistent by sub-proof #774.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (19)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (10), (12), (13), (14), (16), (17),
% 245.11/49.11  | |            (19) are inconsistent by sub-proof #772.
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #772 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(unit2, e24) = e24
% 245.11/49.11    (2)  op2(e23, unit2) = e23
% 245.11/49.11    (3)  op2(e23, e21) = e24
% 245.11/49.11    (4)  op2(e20, unit2) = e20
% 245.11/49.11    (5)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (7)  op2(e20, e22) = all_16_14
% 245.11/49.11    (8)   ~ (all_16_14 = e20)
% 245.11/49.11    (9)  op2(e20, e22) = e24
% 245.11/49.11    (10)  op2(e20, e24) = e20
% 245.11/49.11    (11)  op2(unit2, e22) = e22
% 245.11/49.11    (12)   ~ (e24 = e23)
% 245.11/49.11    (13)  op2(e23, e21) = all_10_1
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (5) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (14)  unit2 = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | REDUCE: (4), (14) imply:
% 245.11/49.11  | |   (15)  op2(e20, e22) = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (6), (7), (8), (15) are inconsistent by sub-proof #961.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (16)   ~ (unit2 = e22)
% 245.11/49.11  | |   (17)  unit2 = e21 | unit2 = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | BETA: splitting (17) gives:
% 245.11/49.11  | | 
% 245.11/49.11  | | Case 1:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (18)  unit2 = e21
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (2), (18) imply:
% 245.11/49.11  | | |   (19)  op2(e23, e21) = e23
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (3), (6), (12), (13), (19) are inconsistent by sub-proof #957.
% 245.11/49.11  | | | 
% 245.11/49.11  | | Case 2:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (20)  unit2 = e20
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (16), (20) imply:
% 245.11/49.11  | | |   (21)   ~ (e22 = e20)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | SIMP: (21) implies:
% 245.11/49.11  | | |   (22)   ~ (e22 = e20)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (1), (20) imply:
% 245.11/49.11  | | |   (23)  op2(e20, e24) = e24
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (11), (20) imply:
% 245.11/49.11  | | |   (24)  op2(e20, e22) = e22
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (6), (9), (10), (22), (23), (24) are inconsistent by sub-proof
% 245.11/49.11  | | |            #773.
% 245.11/49.11  | | | 
% 245.11/49.11  | | End of split
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #773 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e20, e22) = e22
% 245.11/49.11    (2)   ~ (e22 = e20)
% 245.11/49.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (4)  op2(e20, e22) = e24
% 245.11/49.11    (5)  op2(e20, e24) = e24
% 245.11/49.11    (6)  op2(e20, e24) = e20
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (3) with e24, e22, e22, e20, simplifying with (1),
% 245.11/49.11  |              (4) gives:
% 245.11/49.11  |   (7)  e24 = e22
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (3) with e20, e24, e24, e20, simplifying with (5),
% 245.11/49.11  |              (6) gives:
% 245.11/49.11  |   (8)  e24 = e20
% 245.11/49.11  | 
% 245.11/49.11  | COMBINE_EQS: (7), (8) imply:
% 245.11/49.11  |   (9)  e22 = e20
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (2), (9) imply:
% 245.11/49.11  |   (10)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (10) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #774 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (2)  op2(e24, e22) = all_16_10
% 245.11/49.11    (3)  op2(e24, e22) = e22
% 245.11/49.11    (4)   ~ (all_16_10 = e22)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (1) with all_16_10, e22, e22, e24, simplifying with
% 245.11/49.11  |              (2), (3) gives:
% 245.11/49.11  |   (5)  all_16_10 = e22
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (4), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #775 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e20, e24) = all_16_4
% 245.11/49.11    (2)   ~ (e24 = e20)
% 245.11/49.11    (3)   ~ (e23 = e21)
% 245.11/49.11    (4)  op2(e23, e21) = e24
% 245.11/49.11    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.11           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.11           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.11    (6)  op2(e23, e23) = e21
% 245.11/49.11    (7)  all_24_2 = e22
% 245.11/49.11    (8)   ~ (e23 = e22)
% 245.11/49.11    (9)   ~ (e22 = e20)
% 245.11/49.11    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (11)  op2(e23, e24) = e22
% 245.11/49.11    (12)   ~ (e23 = e20)
% 245.11/49.11    (13)   ~ (all_16_7 = e23)
% 245.11/49.11    (14)  op2(e24, e23) = e22
% 245.11/49.11    (15)   ~ (e24 = e21)
% 245.11/49.11    (16)   ~ (e22 = e21)
% 245.11/49.11    (17)  op2(e23, e22) = e20
% 245.11/49.11    (18)  all_24_1 = e22
% 245.11/49.11    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.11            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.11            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.11    (20)  op2(e22, e23) = all_16_7
% 245.11/49.11    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.11            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.11            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.11    (22)   ~ (all_16_4 = e22)
% 245.11/49.11    (23)   ~ (e21 = e20)
% 245.11/49.11    (24)   ~ (e24 = e22)
% 245.11/49.11    (25)  all_24_17 = e23
% 245.11/49.11    (26)   ~ (e24 = e23)
% 245.11/49.11    (27)  op2(e23, e21) = all_10_1
% 245.11/49.11    (28)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.11            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.11            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.11    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.11            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.11            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.11    (30)  (all_24_20 = e22 & op2(e20, e24) = e22) | (all_24_21 = e22 & op2(e20,
% 245.11/49.11              e23) = e22)
% 245.11/49.11    (31)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.11            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.11            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.11    (32)  all_24_3 = e21
% 245.11/49.11    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.11            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.11            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (30) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (34)  all_24_20 = e22 & op2(e20, e24) = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | ALPHA: (34) implies:
% 245.11/49.11  | |   (35)  op2(e20, e24) = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (1), (10), (22), (35) are inconsistent by sub-proof #777.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (36)  all_24_21 = e22 & op2(e20, e23) = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | ALPHA: (36) implies:
% 245.11/49.11  | |   (37)  all_24_21 = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.11  | |            (14), (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 245.11/49.11  | |            (26), (27), (28), (29), (31), (32), (33), (37) are inconsistent
% 245.11/49.11  | |            by sub-proof #776.
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #776 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  all_24_21 = e22
% 245.11/49.11    (2)   ~ (e24 = e20)
% 245.11/49.11    (3)   ~ (e23 = e21)
% 245.11/49.11    (4)  op2(e23, e21) = e24
% 245.11/49.11    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.11           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.11           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.11    (6)  op2(e23, e23) = e21
% 245.11/49.11    (7)  all_24_2 = e22
% 245.11/49.11    (8)   ~ (e23 = e22)
% 245.11/49.11    (9)   ~ (e22 = e20)
% 245.11/49.11    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (11)  op2(e23, e24) = e22
% 245.11/49.11    (12)   ~ (e23 = e20)
% 245.11/49.11    (13)   ~ (all_16_7 = e23)
% 245.11/49.11    (14)  op2(e24, e23) = e22
% 245.11/49.11    (15)   ~ (e24 = e21)
% 245.11/49.11    (16)   ~ (e22 = e21)
% 245.11/49.11    (17)  op2(e23, e22) = e20
% 245.11/49.11    (18)  all_24_1 = e22
% 245.11/49.11    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.11            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.11            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.11/49.11    (20)  op2(e22, e23) = all_16_7
% 245.11/49.11    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.11            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.11            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.11    (22)   ~ (e21 = e20)
% 245.11/49.11    (23)   ~ (e24 = e22)
% 245.11/49.11    (24)  all_24_17 = e23
% 245.11/49.11    (25)   ~ (e24 = e23)
% 245.11/49.11    (26)  op2(e23, e21) = all_10_1
% 245.11/49.11    (27)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.11            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.11/49.11            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.11    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.11            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.11            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.11    (29)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.11/49.11            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.11/49.11            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.11/49.11    (30)  all_24_3 = e21
% 245.11/49.11    (31)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.11            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.11            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (27) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (32)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 245.11/49.11  | |             e23) = e23)
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (3), (6), (8), (10), (14), (32) are inconsistent by sub-proof
% 245.11/49.11  | |            #955.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (33)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 245.11/49.11  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.11/49.11  | | 
% 245.11/49.11  | | BETA: splitting (33) gives:
% 245.11/49.11  | | 
% 245.11/49.11  | | Case 1:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (34)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (10), (13), (20), (34) are inconsistent by sub-proof #954.
% 245.11/49.11  | | | 
% 245.11/49.11  | | Case 2:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (35)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 245.11/49.11  | | |           op2(e20, e23) = e23)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | BETA: splitting (35) gives:
% 245.11/49.11  | | | 
% 245.11/49.11  | | | Case 1:
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | |   (36)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | ALPHA: (36) implies:
% 245.11/49.11  | | | |   (37)  all_24_13 = e23
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | BETA: splitting (19) gives:
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | Case 1:
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | |   (38)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 &
% 245.11/49.11  | | | | |           op2(e23, e23) = e24)
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | | BETA: splitting (38) gives:
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | | Case 1:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | |   (39)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | REF_CLOSE: (18), (23), (39) are inconsistent by sub-proof #870.
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | Case 2:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | |   (40)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | REF_CLOSE: (15), (30), (40) are inconsistent by sub-proof #1323.
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | End of split
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | Case 2:
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | |   (41)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.11/49.11  | | | | |           op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) =
% 245.11/49.11  | | | | |           e24)
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | | BETA: splitting (41) gives:
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | | Case 1:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | |   (42)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | ALPHA: (42) implies:
% 245.11/49.11  | | | | | |   (43)  all_24_7 = e24
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | BETA: splitting (29) gives:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | Case 1:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | |   (44)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 &
% 245.11/49.11  | | | | | | |           op2(e23, e23) = e20)
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | BETA: splitting (44) gives:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | Case 1:
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | |   (45)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | | REF_CLOSE: (9), (10), (14), (45) are inconsistent by sub-proof
% 245.11/49.11  | | | | | | | |            #911.
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | Case 2:
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | |   (46)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | | REF_CLOSE: (6), (10), (22), (46) are inconsistent by sub-proof
% 245.11/49.11  | | | | | | | |            #1306.
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | End of split
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | Case 2:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | |   (47)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20
% 245.11/49.11  | | | | | | |           & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20,
% 245.11/49.11  | | | | | | |             e23) = e20)
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | BETA: splitting (47) gives:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | Case 1:
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | |   (48)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | | REF_CLOSE: (2), (43), (48) are inconsistent by sub-proof #847.
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | Case 2:
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | |   (49)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 =
% 245.11/49.11  | | | | | | | |           e20 & op2(e20, e23) = e20)
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | | BETA: splitting (49) gives:
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | | Case 1:
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | |   (50)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | ALPHA: (50) implies:
% 245.11/49.11  | | | | | | | | |   (51)  all_24_13 = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | COMBINE_EQS: (37), (51) imply:
% 245.11/49.11  | | | | | | | | |   (52)  e23 = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12),
% 245.11/49.11  | | | | | | | | |            (15), (16), (17), (22), (23), (24), (25), (26),
% 245.11/49.11  | | | | | | | | |            (28), (31), (52) are inconsistent by sub-proof
% 245.11/49.11  | | | | | | | | |            #833.
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | Case 2:
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | |   (53)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | ALPHA: (53) implies:
% 245.11/49.11  | | | | | | | | |   (54)  all_24_21 = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | COMBINE_EQS: (1), (54) imply:
% 245.11/49.11  | | | | | | | | |   (55)  e22 = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | COMBINE_EQS: (7), (55) imply:
% 245.11/49.11  | | | | | | | | |   (56)  all_24_2 = e20
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12),
% 245.11/49.11  | | | | | | | | |            (15), (16), (17), (21), (22), (23), (25), (26),
% 245.11/49.11  | | | | | | | | |            (28), (31), (56) are inconsistent by sub-proof
% 245.11/49.11  | | | | | | | | |            #1307.
% 245.11/49.11  | | | | | | | | | 
% 245.11/49.11  | | | | | | | | End of split
% 245.11/49.11  | | | | | | | | 
% 245.11/49.11  | | | | | | | End of split
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | End of split
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | Case 2:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | |   (57)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.11/49.11  | | | | | |           op2(e20, e23) = e24)
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | BETA: splitting (57) gives:
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | | Case 1:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | |   (58)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | REF_CLOSE: (25), (37), (58) are inconsistent by sub-proof #844.
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | Case 2:
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | |   (59)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | ALPHA: (59) implies:
% 245.11/49.11  | | | | | | |   (60)  all_24_21 = e24
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | COMBINE_EQS: (1), (60) imply:
% 245.11/49.11  | | | | | | |   (61)  e24 = e22
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | SIMP: (61) implies:
% 245.11/49.11  | | | | | | |   (62)  e24 = e22
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | REDUCE: (23), (62) imply:
% 245.11/49.11  | | | | | | |   (63)  $false
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | | CLOSE: (63) is inconsistent.
% 245.11/49.11  | | | | | | | 
% 245.11/49.11  | | | | | | End of split
% 245.11/49.11  | | | | | | 
% 245.11/49.11  | | | | | End of split
% 245.11/49.11  | | | | | 
% 245.11/49.11  | | | | End of split
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | Case 2:
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | |   (64)  all_24_21 = e23 & op2(e20, e23) = e23
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | ALPHA: (64) implies:
% 245.11/49.11  | | | |   (65)  all_24_21 = e23
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | COMBINE_EQS: (1), (65) imply:
% 245.11/49.11  | | | |   (66)  e23 = e22
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | SIMP: (66) implies:
% 245.11/49.11  | | | |   (67)  e23 = e22
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | COMBINE_EQS: (24), (67) imply:
% 245.11/49.11  | | | |   (68)  all_24_17 = e22
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (17), (25), (26), (31),
% 245.11/49.11  | | | |            (68) are inconsistent by sub-proof #795.
% 245.11/49.11  | | | | 
% 245.11/49.11  | | | End of split
% 245.11/49.11  | | | 
% 245.11/49.11  | | End of split
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #777 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (2)  op2(e20, e24) = all_16_4
% 245.11/49.11    (3)  op2(e20, e24) = e22
% 245.11/49.11    (4)   ~ (all_16_4 = e22)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (1) with all_16_4, e22, e24, e20, simplifying with
% 245.11/49.11  |              (2), (3) gives:
% 245.11/49.11  |   (5)  all_16_4 = e22
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (4), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #778 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  all_24_6 = e24
% 245.11/49.11    (2)  all_24_6 = e21
% 245.11/49.11    (3)   ~ (e24 = e21)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.11  |   (4)  e24 = e21
% 245.11/49.11  | 
% 245.11/49.11  | SIMP: (4) implies:
% 245.11/49.11  |   (5)  e24 = e21
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (3), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #779 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e23, unit2) = e23
% 245.11/49.11    (2)  op2(e20, e24) = all_16_4
% 245.11/49.11    (3)  op2(e23, e21) = e24
% 245.11/49.11    (4)  op2(e20, unit2) = e20
% 245.11/49.11    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (6)   ~ (e23 = e20)
% 245.11/49.11    (7)   ~ (all_16_4 = e20)
% 245.11/49.11    (8)  op2(e23, e22) = e20
% 245.11/49.11    (9)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11    (10)   ~ (e24 = e23)
% 245.11/49.11    (11)  op2(e23, e21) = all_10_1
% 245.11/49.11    (12)  op2(e21, unit2) = e21
% 245.11/49.11    (13)  all_24_19 = e20 & op2(e21, e20) = e20
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | ALPHA: (13) implies:
% 245.11/49.11  |   (14)  op2(e21, e20) = e20
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (9) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (15)  unit2 = e24
% 245.11/49.11  | | 
% 245.11/49.11  | | REDUCE: (4), (15) imply:
% 245.11/49.11  | |   (16)  op2(e20, e24) = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (2), (5), (7), (16) are inconsistent by sub-proof #962.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (1), (3), (5), (6), (8), (10), (11), (12), (14), (17) are
% 245.11/49.11  | |            inconsistent by sub-proof #780.
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #780 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)  op2(e23, unit2) = e23
% 245.11/49.11    (2)  op2(e23, e21) = e24
% 245.11/49.11    (3)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.11/49.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (5)   ~ (e23 = e20)
% 245.11/49.11    (6)  op2(e23, e22) = e20
% 245.11/49.11    (7)   ~ (e24 = e23)
% 245.11/49.11    (8)  op2(e23, e21) = all_10_1
% 245.11/49.11    (9)  op2(e21, unit2) = e21
% 245.11/49.11    (10)  op2(e21, e20) = e20
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | BETA: splitting (3) gives:
% 245.11/49.11  | 
% 245.11/49.11  | Case 1:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (11)  unit2 = e22
% 245.11/49.11  | | 
% 245.11/49.11  | | REDUCE: (1), (11) imply:
% 245.11/49.11  | |   (12)  op2(e23, e22) = e23
% 245.11/49.11  | | 
% 245.11/49.11  | | REF_CLOSE: (4), (5), (6), (12) are inconsistent by sub-proof #1326.
% 245.11/49.11  | | 
% 245.11/49.11  | Case 2:
% 245.11/49.11  | | 
% 245.11/49.11  | |   (13)  unit2 = e21 | unit2 = e20
% 245.11/49.11  | | 
% 245.11/49.11  | | BETA: splitting (13) gives:
% 245.11/49.11  | | 
% 245.11/49.11  | | Case 1:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (14)  unit2 = e21
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (1), (14) imply:
% 245.11/49.11  | | |   (15)  op2(e23, e21) = e23
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (2), (4), (7), (8), (15) are inconsistent by sub-proof #957.
% 245.11/49.11  | | | 
% 245.11/49.11  | | Case 2:
% 245.11/49.11  | | | 
% 245.11/49.11  | | |   (16)  unit2 = e20
% 245.11/49.11  | | |   (17)   ~ (unit2 = e21)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (16), (17) imply:
% 245.11/49.11  | | |   (18)   ~ (e21 = e20)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | SIMP: (18) implies:
% 245.11/49.11  | | |   (19)   ~ (e21 = e20)
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REDUCE: (9), (16) imply:
% 245.11/49.11  | | |   (20)  op2(e21, e20) = e21
% 245.11/49.11  | | | 
% 245.11/49.11  | | | REF_CLOSE: (4), (10), (19), (20) are inconsistent by sub-proof #781.
% 245.11/49.11  | | | 
% 245.11/49.11  | | End of split
% 245.11/49.11  | | 
% 245.11/49.11  | End of split
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #781 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.11           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.11    (2)  op2(e21, e20) = e21
% 245.11/49.11    (3)  op2(e21, e20) = e20
% 245.11/49.11    (4)   ~ (e21 = e20)
% 245.11/49.11  
% 245.11/49.11  Begin of proof
% 245.11/49.11  | 
% 245.11/49.11  | GROUND_INST: instantiating (1) with e20, e21, e20, e21, simplifying with (2),
% 245.11/49.11  |              (3) gives:
% 245.11/49.11  |   (5)  e21 = e20
% 245.11/49.11  | 
% 245.11/49.11  | REDUCE: (4), (5) imply:
% 245.11/49.11  |   (6)  $false
% 245.11/49.11  | 
% 245.11/49.11  | CLOSE: (6) is inconsistent.
% 245.11/49.11  | 
% 245.11/49.11  End of proof
% 245.11/49.11  
% 245.11/49.11  Sub-proof #782 shows that the following formulas are inconsistent:
% 245.11/49.11  ----------------------------------------------------------------
% 245.11/49.11    (1)   ~ (e24 = e20)
% 245.11/49.11    (2)   ~ (e23 = e21)
% 245.11/49.11    (3)  op2(e23, e21) = e24
% 245.11/49.11    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.12    (5)  op2(e23, e23) = e21
% 245.11/49.12    (6)  all_24_2 = e22
% 245.11/49.12    (7)   ~ (e23 = e22)
% 245.11/49.12    (8)   ~ (e22 = e20)
% 245.11/49.12    (9)  all_24_15 = e20
% 245.11/49.12    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (11)  op2(e23, e24) = e22
% 245.11/49.12    (12)   ~ (e23 = e20)
% 245.11/49.12    (13)  all_24_9 = e23
% 245.11/49.12    (14)  all_24_11 = e20
% 245.11/49.12    (15)   ~ (e24 = e21)
% 245.11/49.12    (16)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 245.11/49.12              e21) = e21) | (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 =
% 245.11/49.12            e21 & op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 245.11/49.12    (17)   ~ (e22 = e21)
% 245.11/49.12    (18)  op2(e23, e22) = e20
% 245.11/49.12    (19)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 & op2(e23,
% 245.11/49.12              e21) = e22) | (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 =
% 245.11/49.12            e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) = e22)
% 245.11/49.12    (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (21)   ~ (e21 = e20)
% 245.11/49.12    (22)   ~ (e24 = e22)
% 245.11/49.12    (23)  all_24_17 = e23
% 245.11/49.12    (24)   ~ (e24 = e23)
% 245.11/49.12    (25)  op2(e23, e21) = all_10_1
% 245.11/49.12    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (27)  all_24_5 = e20
% 245.11/49.12    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | BETA: splitting (16) gives:
% 245.11/49.12  | 
% 245.11/49.12  | Case 1:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (29)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_10 = e21 & op2(e23,
% 245.11/49.12  | |             e21) = e21)
% 245.11/49.12  | | 
% 245.11/49.12  | | BETA: splitting (29) gives:
% 245.11/49.12  | | 
% 245.11/49.12  | | Case 1:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (30)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (2), (3), (5), (6), (7), (10), (12), (13), (15), (18), (22),
% 245.11/49.12  | | |            (23), (24), (25), (26), (28), (30) are inconsistent by
% 245.11/49.12  | | |            sub-proof #864.
% 245.11/49.12  | | | 
% 245.11/49.12  | | Case 2:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (31)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (3), (10), (15), (25), (31) are inconsistent by sub-proof #789.
% 245.11/49.12  | | | 
% 245.11/49.12  | | End of split
% 245.11/49.12  | | 
% 245.11/49.12  | Case 2:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (32)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_15 = e21 &
% 245.11/49.12  | |           op2(e21, e21) = e21) | (all_24_23 = e21 & op2(e20, e21) = e21)
% 245.11/49.12  | | 
% 245.11/49.12  | | BETA: splitting (32) gives:
% 245.11/49.12  | | 
% 245.11/49.12  | | Case 1:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (33)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | ALPHA: (33) implies:
% 245.11/49.12  | | |   (34)  all_24_11 = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (14), (21), (34) are inconsistent by sub-proof #788.
% 245.11/49.12  | | | 
% 245.11/49.12  | | Case 2:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (35)  (all_24_15 = e21 & op2(e21, e21) = e21) | (all_24_23 = e21 &
% 245.11/49.12  | | |           op2(e20, e21) = e21)
% 245.11/49.12  | | | 
% 245.11/49.12  | | | BETA: splitting (35) gives:
% 245.11/49.12  | | | 
% 245.11/49.12  | | | Case 1:
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | |   (36)  all_24_15 = e21 & op2(e21, e21) = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | ALPHA: (36) implies:
% 245.11/49.12  | | | |   (37)  all_24_15 = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | REF_CLOSE: (9), (21), (37) are inconsistent by sub-proof #787.
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | Case 2:
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | |   (38)  all_24_23 = e21 & op2(e20, e21) = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | ALPHA: (38) implies:
% 245.11/49.12  | | | |   (39)  all_24_23 = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | BETA: splitting (19) gives:
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | Case 1:
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | |   (40)  (all_24_9 = e22 & op2(e24, e21) = e22) | (all_24_10 = e22 &
% 245.11/49.12  | | | | |           op2(e23, e21) = e22)
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | | BETA: splitting (40) gives:
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | | Case 1:
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | |   (41)  all_24_9 = e22 & op2(e24, e21) = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | ALPHA: (41) implies:
% 245.11/49.12  | | | | | |   (42)  all_24_9 = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | COMBINE_EQS: (13), (42) imply:
% 245.11/49.12  | | | | | |   (43)  e23 = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | COMBINE_EQS: (23), (43) imply:
% 245.11/49.12  | | | | | |   (44)  all_24_17 = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | REF_CLOSE: (2), (3), (5), (7), (10), (11), (12), (18), (24), (25),
% 245.11/49.12  | | | | | |            (28), (44) are inconsistent by sub-proof #795.
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | Case 2:
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | |   (45)  all_24_10 = e22 & op2(e23, e21) = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | ALPHA: (45) implies:
% 245.11/49.12  | | | | | |   (46)  op2(e23, e21) = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | REF_CLOSE: (3), (10), (22), (25), (46) are inconsistent by sub-proof
% 245.11/49.12  | | | | | |            #963.
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | End of split
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | Case 2:
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | |   (47)  (all_24_11 = e22 & op2(e22, e21) = e22) | (all_24_15 = e22 &
% 245.11/49.12  | | | | |           op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20, e21) =
% 245.11/49.12  | | | | |           e22)
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | | BETA: splitting (47) gives:
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | | Case 1:
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | |   (48)  all_24_11 = e22 & op2(e22, e21) = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | ALPHA: (48) implies:
% 245.11/49.12  | | | | | |   (49)  all_24_11 = e22
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (14),
% 245.11/49.12  | | | | | |            (15), (17), (18), (20), (21), (22), (24), (25), (26),
% 245.11/49.12  | | | | | |            (28), (49) are inconsistent by sub-proof #786.
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | Case 2:
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | |   (50)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 &
% 245.11/49.12  | | | | | |           op2(e20, e21) = e22)
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 245.11/49.12  | | | | | |            (15), (17), (18), (20), (21), (22), (24), (25), (26),
% 245.11/49.12  | | | | | |            (27), (28), (39), (50) are inconsistent by sub-proof
% 245.11/49.12  | | | | | |            #783.
% 245.11/49.12  | | | | | | 
% 245.11/49.12  | | | | | End of split
% 245.11/49.12  | | | | | 
% 245.11/49.12  | | | | End of split
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | End of split
% 245.11/49.12  | | | 
% 245.11/49.12  | | End of split
% 245.11/49.12  | | 
% 245.11/49.12  | End of split
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #783 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_23 = e21
% 245.11/49.12    (2)   ~ (e24 = e20)
% 245.11/49.12    (3)   ~ (e23 = e21)
% 245.11/49.12    (4)  op2(e23, e21) = e24
% 245.11/49.12    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.12    (6)  op2(e23, e23) = e21
% 245.11/49.12    (7)  all_24_2 = e22
% 245.11/49.12    (8)   ~ (e23 = e22)
% 245.11/49.12    (9)   ~ (e22 = e20)
% 245.11/49.12    (10)  all_24_15 = e20
% 245.11/49.12    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (12)   ~ (e23 = e20)
% 245.11/49.12    (13)   ~ (e24 = e21)
% 245.11/49.12    (14)   ~ (e22 = e21)
% 245.11/49.12    (15)  op2(e23, e22) = e20
% 245.11/49.12    (16)  (all_24_15 = e22 & op2(e21, e21) = e22) | (all_24_23 = e22 & op2(e20,
% 245.11/49.12              e21) = e22)
% 245.11/49.12    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (18)   ~ (e21 = e20)
% 245.11/49.12    (19)   ~ (e24 = e22)
% 245.11/49.12    (20)   ~ (e24 = e23)
% 245.11/49.12    (21)  op2(e23, e21) = all_10_1
% 245.11/49.12    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (23)  all_24_5 = e20
% 245.11/49.12    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | BETA: splitting (16) gives:
% 245.11/49.12  | 
% 245.11/49.12  | Case 1:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (25)  all_24_15 = e22 & op2(e21, e21) = e22
% 245.11/49.12  | | 
% 245.11/49.12  | | ALPHA: (25) implies:
% 245.11/49.12  | |   (26)  all_24_15 = e22
% 245.11/49.12  | | 
% 245.11/49.12  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.11/49.12  | |            (14), (15), (17), (18), (19), (20), (21), (22), (24), (26) are
% 245.11/49.12  | |            inconsistent by sub-proof #785.
% 245.11/49.12  | | 
% 245.11/49.12  | Case 2:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (27)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.11/49.12  | | 
% 245.11/49.12  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (14),
% 245.11/49.12  | |            (15), (17), (19), (20), (21), (22), (23), (24), (27) are
% 245.11/49.12  | |            inconsistent by sub-proof #784.
% 245.11/49.12  | | 
% 245.11/49.12  | End of split
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #784 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_23 = e21
% 245.11/49.12    (2)   ~ (e24 = e20)
% 245.11/49.12    (3)   ~ (e23 = e21)
% 245.11/49.12    (4)  op2(e23, e21) = e24
% 245.11/49.12    (5)  op2(e23, e23) = e21
% 245.11/49.12    (6)  all_24_2 = e22
% 245.11/49.12    (7)   ~ (e23 = e22)
% 245.11/49.12    (8)   ~ (e22 = e20)
% 245.11/49.12    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (10)   ~ (e23 = e20)
% 245.11/49.12    (11)  all_24_23 = e22 & op2(e20, e21) = e22
% 245.11/49.12    (12)   ~ (e24 = e21)
% 245.11/49.12    (13)   ~ (e22 = e21)
% 245.11/49.12    (14)  op2(e23, e22) = e20
% 245.11/49.12    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (16)   ~ (e24 = e22)
% 245.11/49.12    (17)   ~ (e24 = e23)
% 245.11/49.12    (18)  op2(e23, e21) = all_10_1
% 245.11/49.12    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (20)  all_24_5 = e20
% 245.11/49.12    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | ALPHA: (11) implies:
% 245.11/49.12  |   (22)  all_24_23 = e22
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (22) imply:
% 245.11/49.12  |   (23)  e22 = e21
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (6), (23) imply:
% 245.11/49.12  |   (24)  all_24_2 = e21
% 245.11/49.12  | 
% 245.11/49.12  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14), (15),
% 245.11/49.12  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.11/49.12  |            sub-proof #1298.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #785 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)   ~ (e24 = e20)
% 245.11/49.12    (2)   ~ (e23 = e21)
% 245.11/49.12    (3)  op2(e23, e21) = e24
% 245.11/49.12    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.12    (5)  op2(e23, e23) = e21
% 245.11/49.12    (6)  all_24_2 = e22
% 245.11/49.12    (7)   ~ (e23 = e22)
% 245.11/49.12    (8)   ~ (e22 = e20)
% 245.11/49.12    (9)  all_24_15 = e20
% 245.11/49.12    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (11)   ~ (e23 = e20)
% 245.11/49.12    (12)   ~ (e24 = e21)
% 245.11/49.12    (13)   ~ (e22 = e21)
% 245.11/49.12    (14)  op2(e23, e22) = e20
% 245.11/49.12    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (16)   ~ (e21 = e20)
% 245.11/49.12    (17)   ~ (e24 = e22)
% 245.11/49.12    (18)   ~ (e24 = e23)
% 245.11/49.12    (19)  op2(e23, e21) = all_10_1
% 245.11/49.12    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (21)  all_24_15 = e22
% 245.11/49.12    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (9), (21) imply:
% 245.11/49.12  |   (23)  e22 = e20
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (23) implies:
% 245.11/49.12  |   (24)  e22 = e20
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (6), (24) imply:
% 245.11/49.12  |   (25)  all_24_2 = e20
% 245.11/49.12  | 
% 245.11/49.12  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 245.11/49.12  |            (15), (16), (17), (18), (19), (20), (22), (25) are inconsistent by
% 245.11/49.12  |            sub-proof #1307.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #786 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_11 = e22
% 245.11/49.12    (2)   ~ (e24 = e20)
% 245.11/49.12    (3)   ~ (e23 = e21)
% 245.11/49.12    (4)  op2(e23, e21) = e24
% 245.11/49.12    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.11/49.12           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.11/49.12           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.11/49.12    (6)  op2(e23, e23) = e21
% 245.11/49.12    (7)  all_24_2 = e22
% 245.11/49.12    (8)   ~ (e23 = e22)
% 245.11/49.12    (9)   ~ (e22 = e20)
% 245.11/49.12    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (11)   ~ (e23 = e20)
% 245.11/49.12    (12)  all_24_11 = e20
% 245.11/49.12    (13)   ~ (e24 = e21)
% 245.11/49.12    (14)   ~ (e22 = e21)
% 245.11/49.12    (15)  op2(e23, e22) = e20
% 245.11/49.12    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (17)   ~ (e21 = e20)
% 245.11/49.12    (18)   ~ (e24 = e22)
% 245.11/49.12    (19)   ~ (e24 = e23)
% 245.11/49.12    (20)  op2(e23, e21) = all_10_1
% 245.11/49.12    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (12) imply:
% 245.11/49.12  |   (23)  e22 = e20
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (23) implies:
% 245.11/49.12  |   (24)  e22 = e20
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (7), (24) imply:
% 245.11/49.12  |   (25)  all_24_2 = e20
% 245.11/49.12  | 
% 245.11/49.12  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15),
% 245.11/49.12  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.11/49.12  |            sub-proof #1307.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #787 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_15 = e21
% 245.11/49.12    (2)  all_24_15 = e20
% 245.11/49.12    (3)   ~ (e21 = e20)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.12  |   (4)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (4) implies:
% 245.11/49.12  |   (5)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | REDUCE: (3), (5) imply:
% 245.11/49.12  |   (6)  $false
% 245.11/49.12  | 
% 245.11/49.12  | CLOSE: (6) is inconsistent.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #788 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_11 = e21
% 245.11/49.12    (2)  all_24_11 = e20
% 245.11/49.12    (3)   ~ (e21 = e20)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.12  |   (4)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (4) implies:
% 245.11/49.12  |   (5)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | REDUCE: (3), (5) imply:
% 245.11/49.12  |   (6)  $false
% 245.11/49.12  | 
% 245.11/49.12  | CLOSE: (6) is inconsistent.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #789 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  op2(e23, e21) = e24
% 245.11/49.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (3)   ~ (e24 = e21)
% 245.11/49.12    (4)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.11/49.12    (5)  op2(e23, e21) = all_10_1
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | ALPHA: (4) implies:
% 245.11/49.12  |   (6)  op2(e23, e21) = e21
% 245.11/49.12  | 
% 245.11/49.12  | GROUND_INST: instantiating (2) with e24, all_10_1, e21, e23, simplifying with
% 245.11/49.12  |              (1), (5) gives:
% 245.11/49.12  |   (7)  all_10_1 = e24
% 245.11/49.12  | 
% 245.11/49.12  | GROUND_INST: instantiating (2) with e21, all_10_1, e21, e23, simplifying with
% 245.11/49.12  |              (5), (6) gives:
% 245.11/49.12  |   (8)  all_10_1 = e21
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (7), (8) imply:
% 245.11/49.12  |   (9)  e24 = e21
% 245.11/49.12  | 
% 245.11/49.12  | REDUCE: (3), (9) imply:
% 245.11/49.12  |   (10)  $false
% 245.11/49.12  | 
% 245.11/49.12  | CLOSE: (10) is inconsistent.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #790 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_7 = e20
% 245.11/49.12    (2)  all_24_11 = e22
% 245.11/49.12    (3)   ~ (e24 = e20)
% 245.11/49.12    (4)   ~ (e23 = e21)
% 245.11/49.12    (5)  op2(e23, e21) = e24
% 245.11/49.12    (6)  op2(e23, e23) = e21
% 245.11/49.12    (7)  all_24_2 = e22
% 245.11/49.12    (8)   ~ (e23 = e22)
% 245.11/49.12    (9)   ~ (e22 = e20)
% 245.11/49.12    (10)  all_24_6 = e20
% 245.11/49.12    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (12)   ~ (e23 = e20)
% 245.11/49.12    (13)   ~ (e24 = e21)
% 245.11/49.12    (14)   ~ (e22 = e21)
% 245.11/49.12    (15)  op2(e23, e22) = e20
% 245.11/49.12    (16)  all_24_8 = e23
% 245.11/49.12    (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (18)   ~ (e21 = e20)
% 245.11/49.12    (19)   ~ (e24 = e22)
% 245.11/49.12    (20)  all_24_17 = e23
% 245.11/49.12    (21)   ~ (e24 = e23)
% 245.11/49.12    (22)  op2(e23, e21) = all_10_1
% 245.11/49.12    (23)  all_24_18 = e24
% 245.11/49.12    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (25)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22, e23)
% 245.11/49.12            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 &
% 245.11/49.12            op2(e22, e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 245.11/49.12    (26)  all_24_5 = e20
% 245.11/49.12    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | BETA: splitting (25) gives:
% 245.11/49.12  | 
% 245.11/49.12  | Case 1:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (28)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_7 = e21 & op2(e22,
% 245.11/49.12  | |             e23) = e21)
% 245.11/49.12  | | 
% 245.11/49.12  | | BETA: splitting (28) gives:
% 245.11/49.12  | | 
% 245.11/49.12  | | Case 1:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (29)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | ALPHA: (29) implies:
% 245.11/49.12  | | |   (30)  all_24_6 = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (10), (18), (30) are inconsistent by sub-proof #793.
% 245.11/49.12  | | | 
% 245.11/49.12  | | Case 2:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (31)  all_24_7 = e21 & op2(e22, e23) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | ALPHA: (31) implies:
% 245.11/49.12  | | |   (32)  all_24_7 = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | COMBINE_EQS: (1), (32) imply:
% 245.11/49.12  | | |   (33)  e21 = e20
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REDUCE: (18), (33) imply:
% 245.11/49.12  | | |   (34)  $false
% 245.11/49.12  | | | 
% 245.11/49.12  | | | CLOSE: (34) is inconsistent.
% 245.11/49.12  | | | 
% 245.11/49.12  | | End of split
% 245.11/49.12  | | 
% 245.11/49.12  | Case 2:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (35)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_11 = e21 & op2(e22,
% 245.11/49.12  | |             e21) = e21) | (all_24_18 = e21 & op2(e22, e20) = e21)
% 245.11/49.12  | | 
% 245.11/49.12  | | BETA: splitting (35) gives:
% 245.11/49.12  | | 
% 245.11/49.12  | | Case 1:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (36)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (4), (5), (6), (7), (8), (11), (12), (13), (15), (16), (19),
% 245.11/49.12  | | |            (20), (21), (22), (24), (27), (36) are inconsistent by
% 245.11/49.12  | | |            sub-proof #851.
% 245.11/49.12  | | | 
% 245.11/49.12  | | Case 2:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (37)  (all_24_11 = e21 & op2(e22, e21) = e21) | (all_24_18 = e21 &
% 245.11/49.12  | | |           op2(e22, e20) = e21)
% 245.11/49.12  | | | 
% 245.11/49.12  | | | BETA: splitting (37) gives:
% 245.11/49.12  | | | 
% 245.11/49.12  | | | Case 1:
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | |   (38)  all_24_11 = e21 & op2(e22, e21) = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | ALPHA: (38) implies:
% 245.11/49.12  | | | |   (39)  all_24_11 = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.11/49.12  | | | |            (14), (15), (17), (19), (21), (22), (24), (26), (27), (39)
% 245.11/49.12  | | | |            are inconsistent by sub-proof #792.
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | Case 2:
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | |   (40)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | ALPHA: (40) implies:
% 245.11/49.12  | | | |   (41)  all_24_18 = e21
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | | REF_CLOSE: (13), (23), (41) are inconsistent by sub-proof #791.
% 245.11/49.12  | | | | 
% 245.11/49.12  | | | End of split
% 245.11/49.12  | | | 
% 245.11/49.12  | | End of split
% 245.11/49.12  | | 
% 245.11/49.12  | End of split
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #791 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_18 = e24
% 245.11/49.12    (2)  all_24_18 = e21
% 245.11/49.12    (3)   ~ (e24 = e21)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.12  |   (4)  e24 = e21
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (4) implies:
% 245.11/49.12  |   (5)  e24 = e21
% 245.11/49.12  | 
% 245.11/49.12  | REDUCE: (3), (5) imply:
% 245.11/49.12  |   (6)  $false
% 245.11/49.12  | 
% 245.11/49.12  | CLOSE: (6) is inconsistent.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #792 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_11 = e22
% 245.11/49.12    (2)   ~ (e24 = e20)
% 245.11/49.12    (3)   ~ (e23 = e21)
% 245.11/49.12    (4)  op2(e23, e21) = e24
% 245.11/49.12    (5)  op2(e23, e23) = e21
% 245.11/49.12    (6)  all_24_2 = e22
% 245.11/49.12    (7)   ~ (e23 = e22)
% 245.11/49.12    (8)   ~ (e22 = e20)
% 245.11/49.12    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (10)   ~ (e23 = e20)
% 245.11/49.12    (11)   ~ (e24 = e21)
% 245.11/49.12    (12)   ~ (e22 = e21)
% 245.11/49.12    (13)  all_24_11 = e21
% 245.11/49.12    (14)  op2(e23, e22) = e20
% 245.11/49.12    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (16)   ~ (e24 = e22)
% 245.11/49.12    (17)   ~ (e24 = e23)
% 245.11/49.12    (18)  op2(e23, e21) = all_10_1
% 245.11/49.12    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (20)  all_24_5 = e20
% 245.11/49.12    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (13) imply:
% 245.11/49.12  |   (22)  e22 = e21
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (22) implies:
% 245.11/49.12  |   (23)  e22 = e21
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (6), (23) imply:
% 245.11/49.12  |   (24)  all_24_2 = e21
% 245.11/49.12  | 
% 245.11/49.12  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14), (15),
% 245.11/49.12  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.11/49.12  |            sub-proof #1298.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #793 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)  all_24_6 = e21
% 245.11/49.12    (2)  all_24_6 = e20
% 245.11/49.12    (3)   ~ (e21 = e20)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (1), (2) imply:
% 245.11/49.12  |   (4)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | SIMP: (4) implies:
% 245.11/49.12  |   (5)  e21 = e20
% 245.11/49.12  | 
% 245.11/49.12  | REDUCE: (3), (5) imply:
% 245.11/49.12  |   (6)  $false
% 245.11/49.12  | 
% 245.11/49.12  | CLOSE: (6) is inconsistent.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #794 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)   ~ (e24 = e20)
% 245.11/49.12    (2)   ~ (e23 = e21)
% 245.11/49.12    (3)  op2(e23, e21) = e24
% 245.11/49.12    (4)  op2(e23, e23) = e21
% 245.11/49.12    (5)  all_24_2 = e22
% 245.11/49.12    (6)   ~ (e23 = e22)
% 245.11/49.12    (7)   ~ (e22 = e20)
% 245.11/49.12    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (9)   ~ (e23 = e20)
% 245.11/49.12    (10)   ~ (e24 = e21)
% 245.11/49.12    (11)   ~ (e22 = e21)
% 245.11/49.12    (12)  all_24_11 = e21
% 245.11/49.12    (13)  op2(e23, e22) = e20
% 245.11/49.12    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.11/49.12            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.11/49.12            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.11/49.12    (15)   ~ (e24 = e22)
% 245.11/49.12    (16)   ~ (e24 = e23)
% 245.11/49.12    (17)  op2(e23, e21) = all_10_1
% 245.11/49.12    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.11/49.12            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.11/49.12            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.11/49.12    (19)  all_24_5 = e20
% 245.11/49.12    (20)  all_24_11 = e22 & op2(e22, e21) = e22
% 245.11/49.12    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | ALPHA: (20) implies:
% 245.11/49.12  |   (22)  all_24_11 = e22
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (12), (22) imply:
% 245.11/49.12  |   (23)  e22 = e21
% 245.11/49.12  | 
% 245.11/49.12  | COMBINE_EQS: (5), (23) imply:
% 245.11/49.12  |   (24)  all_24_2 = e21
% 245.11/49.12  | 
% 245.11/49.12  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.11/49.12  |            (15), (16), (17), (18), (19), (21), (24) are inconsistent by
% 245.11/49.12  |            sub-proof #1298.
% 245.11/49.12  | 
% 245.11/49.12  End of proof
% 245.11/49.12  
% 245.11/49.12  Sub-proof #795 shows that the following formulas are inconsistent:
% 245.11/49.12  ----------------------------------------------------------------
% 245.11/49.12    (1)   ~ (e23 = e21)
% 245.11/49.12    (2)  op2(e23, e21) = e24
% 245.11/49.12    (3)  op2(e23, e23) = e21
% 245.11/49.12    (4)   ~ (e23 = e22)
% 245.11/49.12    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.11/49.12           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.11/49.12    (6)  op2(e23, e24) = e22
% 245.11/49.12    (7)   ~ (e23 = e20)
% 245.11/49.12    (8)  op2(e23, e22) = e20
% 245.11/49.12    (9)   ~ (e24 = e23)
% 245.11/49.12    (10)  op2(e23, e21) = all_10_1
% 245.11/49.12    (11)  all_24_17 = e22
% 245.11/49.12    (12)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.11/49.12            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.11/49.12            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.11/49.12  
% 245.11/49.12  Begin of proof
% 245.11/49.12  | 
% 245.11/49.12  | BETA: splitting (12) gives:
% 245.11/49.12  | 
% 245.11/49.12  | Case 1:
% 245.11/49.12  | | 
% 245.11/49.12  | |   (13)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.11/49.12  | |             e23) = e23)
% 245.11/49.12  | | 
% 245.11/49.12  | | BETA: splitting (13) gives:
% 245.11/49.12  | | 
% 245.11/49.12  | | Case 1:
% 245.11/49.12  | | | 
% 245.11/49.12  | | |   (14)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.11/49.12  | | | 
% 245.11/49.12  | | | ALPHA: (14) implies:
% 245.11/49.12  | | |   (15)  op2(e23, e24) = e23
% 245.11/49.12  | | | 
% 245.11/49.12  | | | REF_CLOSE: (4), (5), (6), (15) are inconsistent by sub-proof #965.
% 245.11/49.12  | | | 
% 245.11/49.12  | | Case 2:
% 245.11/49.12  | | | 
% 245.11/49.13  | | |   (16)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.11/49.13  | | | 
% 245.11/49.13  | | | ALPHA: (16) implies:
% 245.11/49.13  | | |   (17)  op2(e23, e23) = e23
% 245.11/49.13  | | | 
% 245.11/49.13  | | | REF_CLOSE: (1), (3), (5), (17) are inconsistent by sub-proof #1305.
% 245.11/49.13  | | | 
% 245.11/49.13  | | End of split
% 245.11/49.13  | | 
% 245.11/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (18)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.18/49.13  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (2), (4), (5), (7), (8), (9), (10), (11), (18) are inconsistent
% 245.18/49.13  | |            by sub-proof #856.
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #796 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_7 = e20
% 245.18/49.13    (2)  all_24_7 = e22 & op2(e22, e23) = e22
% 245.18/49.13    (3)   ~ (e24 = e20)
% 245.18/49.13    (4)   ~ (e23 = e21)
% 245.18/49.13    (5)  op2(e23, e21) = e24
% 245.18/49.13    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.13           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.13           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.13    (7)  op2(e23, e23) = e21
% 245.18/49.13    (8)  all_24_2 = e22
% 245.18/49.13    (9)   ~ (e23 = e22)
% 245.18/49.13    (10)   ~ (e22 = e20)
% 245.18/49.13    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (12)   ~ (e23 = e20)
% 245.18/49.13    (13)   ~ (e24 = e21)
% 245.18/49.13    (14)   ~ (e22 = e21)
% 245.18/49.13    (15)  op2(e23, e22) = e20
% 245.18/49.13    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.13            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.13            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.13    (17)   ~ (e21 = e20)
% 245.18/49.13    (18)   ~ (e24 = e22)
% 245.18/49.13    (19)   ~ (e24 = e23)
% 245.18/49.13    (20)  op2(e23, e21) = all_10_1
% 245.18/49.13    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.13            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.13            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.13    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.13            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.13            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (2) implies:
% 245.18/49.13  |   (23)  all_24_7 = e22
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (1), (23) imply:
% 245.18/49.13  |   (24)  e22 = e20
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (8), (24) imply:
% 245.18/49.13  |   (25)  all_24_2 = e20
% 245.18/49.13  | 
% 245.18/49.13  | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 245.18/49.13  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.18/49.13  |            sub-proof #1307.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #797 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  op2(e22, unit2) = e22
% 245.18/49.13    (2)  op2(e23, unit2) = e23
% 245.18/49.13    (3)  op2(e23, e21) = e24
% 245.18/49.13    (4)   ~ (e23 = e22)
% 245.18/49.13    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (6)  op2(e23, e24) = e22
% 245.18/49.13    (7)   ~ (e23 = e20)
% 245.18/49.13    (8)   ~ (e22 = e21)
% 245.18/49.13    (9)  op2(e23, e22) = e20
% 245.18/49.13    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13    (11)  all_24_18 = e21 & op2(e22, e20) = e21
% 245.18/49.13    (12)   ~ (e24 = e23)
% 245.18/49.13    (13)  op2(e23, e21) = all_10_1
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (11) implies:
% 245.18/49.13  |   (14)  op2(e22, e20) = e21
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (10) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (15)  unit2 = e24
% 245.18/49.13  | | 
% 245.18/49.13  | | REDUCE: (2), (15) imply:
% 245.18/49.13  | |   (16)  op2(e23, e24) = e23
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (4), (5), (6), (16) are inconsistent by sub-proof #965.
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (17)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (12), (13), (14), (17) are
% 245.18/49.13  | |            inconsistent by sub-proof #798.
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #798 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  op2(e22, unit2) = e22
% 245.18/49.13    (2)  op2(e23, unit2) = e23
% 245.18/49.13    (3)  op2(e22, e20) = e21
% 245.18/49.13    (4)  op2(e23, e21) = e24
% 245.18/49.13    (5)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (7)   ~ (e23 = e20)
% 245.18/49.13    (8)   ~ (e22 = e21)
% 245.18/49.13    (9)  op2(e23, e22) = e20
% 245.18/49.13    (10)   ~ (e24 = e23)
% 245.18/49.13    (11)  op2(e23, e21) = all_10_1
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (5) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (12)  unit2 = e22
% 245.18/49.13  | | 
% 245.18/49.13  | | REDUCE: (2), (12) imply:
% 245.18/49.13  | |   (13)  op2(e23, e22) = e23
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (6), (7), (9), (13) are inconsistent by sub-proof #1326.
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (14)  unit2 = e21 | unit2 = e20
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (14) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (15)  unit2 = e21
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REDUCE: (2), (15) imply:
% 245.18/49.13  | | |   (16)  op2(e23, e21) = e23
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (4), (6), (10), (11), (16) are inconsistent by sub-proof #957.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (17)  unit2 = e20
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REDUCE: (1), (17) imply:
% 245.18/49.13  | | |   (18)  op2(e22, e20) = e22
% 245.18/49.13  | | | 
% 245.18/49.13  | | | GROUND_INST: instantiating (6) with e21, e22, e20, e22, simplifying with
% 245.18/49.13  | | |              (3), (18) gives:
% 245.18/49.13  | | |   (19)  e22 = e21
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REDUCE: (8), (19) imply:
% 245.18/49.13  | | |   (20)  $false
% 245.18/49.13  | | | 
% 245.18/49.13  | | | CLOSE: (20) is inconsistent.
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #799 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  op2(e20, e24) = all_16_4
% 245.18/49.13    (2)   ~ (e23 = e21)
% 245.18/49.13    (3)  op2(e23, e21) = e24
% 245.18/49.13    (4)   ~ (all_16_19 = e20)
% 245.18/49.13    (5)  op2(e23, e23) = e21
% 245.18/49.13    (6)  all_24_2 = e22
% 245.18/49.13    (7)   ~ (e23 = e22)
% 245.18/49.13    (8)  op2(e20, unit2) = e20
% 245.18/49.13    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (10)   ~ (e23 = e20)
% 245.18/49.13    (11)   ~ (e24 = e21)
% 245.18/49.13    (12)  op2(e20, e22) = all_16_14
% 245.18/49.13    (13)   ~ (all_16_4 = e20)
% 245.18/49.13    (14)  op2(e24, unit2) = e24
% 245.18/49.13    (15)  op2(e23, e22) = e20
% 245.18/49.13    (16)   ~ (all_16_14 = e20)
% 245.18/49.13    (17)  (all_24_16 = e21 & op2(e24, e20) = e21) | (all_24_17 = e21 & op2(e23,
% 245.18/49.13              e20) = e21)
% 245.18/49.13    (18)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13    (19)   ~ (e24 = e22)
% 245.18/49.13    (20)   ~ (e24 = e23)
% 245.18/49.13    (21)  op2(e23, e21) = all_10_1
% 245.18/49.13    (22)  op2(e20, e21) = all_16_19
% 245.18/49.13    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.13            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.13            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.13    (24)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.13            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.13            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (17) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (25)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (1), (4), (8), (9), (11), (12), (13), (14), (16), (18), (22),
% 245.18/49.13  | |            (25) are inconsistent by sub-proof #800.
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (26)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.18/49.13  | | 
% 245.18/49.13  | | ALPHA: (26) implies:
% 245.18/49.13  | |   (27)  all_24_17 = e21
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (10), (11), (15), (19), (20), (21),
% 245.18/49.13  | |            (23), (24), (27) are inconsistent by sub-proof #874.
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #800 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  op2(e20, e24) = all_16_4
% 245.18/49.13    (2)   ~ (all_16_19 = e20)
% 245.18/49.13    (3)  op2(e20, unit2) = e20
% 245.18/49.13    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (5)   ~ (e24 = e21)
% 245.18/49.13    (6)  op2(e20, e22) = all_16_14
% 245.18/49.13    (7)   ~ (all_16_4 = e20)
% 245.18/49.13    (8)  op2(e24, unit2) = e24
% 245.18/49.13    (9)   ~ (all_16_14 = e20)
% 245.18/49.13    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13    (11)  op2(e20, e21) = all_16_19
% 245.18/49.13    (12)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (12) implies:
% 245.18/49.13  |   (13)  op2(e24, e20) = e21
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (10) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (14)  unit2 = e24
% 245.18/49.13  | | 
% 245.18/49.13  | | REDUCE: (3), (14) imply:
% 245.18/49.13  | |   (15)  op2(e20, e24) = e20
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (1), (4), (7), (15) are inconsistent by sub-proof #962.
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (16)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (16) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (17)  unit2 = e22
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REDUCE: (3), (17) imply:
% 245.18/49.13  | | |   (18)  op2(e20, e22) = e20
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (4), (6), (9), (18) are inconsistent by sub-proof #961.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (19)  unit2 = e21 | unit2 = e20
% 245.18/49.13  | | | 
% 245.18/49.13  | | | BETA: splitting (19) gives:
% 245.18/49.13  | | | 
% 245.18/49.13  | | | Case 1:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (20)  unit2 = e21
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REDUCE: (3), (20) imply:
% 245.18/49.13  | | | |   (21)  op2(e20, e21) = e20
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REF_CLOSE: (2), (4), (11), (21) are inconsistent by sub-proof #960.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | Case 2:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (22)  unit2 = e20
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REDUCE: (8), (22) imply:
% 245.18/49.13  | | | |   (23)  op2(e24, e20) = e24
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | GROUND_INST: instantiating (4) with e21, e24, e20, e24, simplifying with
% 245.18/49.13  | | | |              (13), (23) gives:
% 245.18/49.13  | | | |   (24)  e24 = e21
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REDUCE: (5), (24) imply:
% 245.18/49.13  | | | |   (25)  $false
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | CLOSE: (25) is inconsistent.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | End of split
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #801 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_7 = e20
% 245.18/49.13    (2)   ~ (e24 = e20)
% 245.18/49.13    (3)  all_24_6 = e21
% 245.18/49.13    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (5)   ~ (e24 = e21)
% 245.18/49.13    (6)   ~ (all_16_17 = e24)
% 245.18/49.13    (7)  all_24_8 = e23
% 245.18/49.13    (8)  op2(e22, e21) = all_16_17
% 245.18/49.13    (9)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 245.18/49.13           = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 &
% 245.18/49.13           op2(e22, e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 245.18/49.13    (10)   ~ (e24 = e22)
% 245.18/49.13    (11)   ~ (e24 = e23)
% 245.18/49.13    (12)  all_24_18 = e22
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (9) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (13)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22,
% 245.18/49.13  | |             e23) = e24)
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (13) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (14)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (3), (5), (14) are inconsistent by sub-proof #804.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (15)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.18/49.13  | | | 
% 245.18/49.13  | | | ALPHA: (15) implies:
% 245.18/49.13  | | |   (16)  all_24_7 = e24
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (1), (2), (16) are inconsistent by sub-proof #869.
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (17)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_11 = e24 & op2(e22,
% 245.18/49.13  | |             e21) = e24) | (all_24_18 = e24 & op2(e22, e20) = e24)
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (17) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (18)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (7), (11), (18) are inconsistent by sub-proof #803.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (19)  (all_24_11 = e24 & op2(e22, e21) = e24) | (all_24_18 = e24 &
% 245.18/49.13  | | |           op2(e22, e20) = e24)
% 245.18/49.13  | | | 
% 245.18/49.13  | | | BETA: splitting (19) gives:
% 245.18/49.13  | | | 
% 245.18/49.13  | | | Case 1:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (20)  all_24_11 = e24 & op2(e22, e21) = e24
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REF_CLOSE: (4), (6), (8), (20) are inconsistent by sub-proof #829.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | Case 2:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (21)  all_24_18 = e24 & op2(e22, e20) = e24
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REF_CLOSE: (10), (12), (21) are inconsistent by sub-proof #802.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | End of split
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #802 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_18 = e24 & op2(e22, e20) = e24
% 245.18/49.13    (2)  all_24_18 = e22
% 245.18/49.13    (3)   ~ (e24 = e22)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (4)  all_24_18 = e24
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.13  |   (5)  e24 = e22
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (3), (5) imply:
% 245.18/49.13  |   (6)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (6) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #803 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.18/49.13    (2)  all_24_8 = e23
% 245.18/49.13    (3)   ~ (e24 = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (4)  all_24_8 = e24
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.13  |   (5)  e24 = e23
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (3), (5) imply:
% 245.18/49.13  |   (6)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (6) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #804 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.13    (2)  all_24_6 = e21
% 245.18/49.13    (3)   ~ (e24 = e21)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (4)  all_24_6 = e24
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.13  |   (5)  e24 = e21
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (3), (5) imply:
% 245.18/49.13  |   (6)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (6) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #805 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)   ~ (e23 = e21)
% 245.18/49.13    (2)  op2(e23, e21) = e24
% 245.18/49.13    (3)   ~ (all_16_1 = e21)
% 245.18/49.13    (4)  op2(e23, e23) = e21
% 245.18/49.13    (5)  (all_24_16 = e22 & op2(e24, e20) = e22) | (all_24_17 = e22 & op2(e23,
% 245.18/49.13             e20) = e22)
% 245.18/49.13    (6)   ~ (e23 = e22)
% 245.18/49.13    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (8)   ~ (e23 = e20)
% 245.18/49.13    (9)   ~ (all_16_1 = e20)
% 245.18/49.13    (10)  op2(e23, e22) = e20
% 245.18/49.13    (11)   ~ (all_16_1 = e23)
% 245.18/49.13    (12)   ~ (all_16_20 = e22)
% 245.18/49.13    (13)  op2(e24, e20) = all_16_20
% 245.18/49.13    (14)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.18/49.13    (15)  op2(e23, e24) = all_16_1
% 245.18/49.13    (16)   ~ (e24 = e23)
% 245.18/49.13    (17)  op2(e23, e21) = all_10_1
% 245.18/49.13    (18)  all_20_5 = all_16_1
% 245.18/49.13    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.13            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.13            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (5) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (20)  all_24_16 = e22 & op2(e24, e20) = e22
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (7), (12), (13), (20) are inconsistent by sub-proof #806.
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (21)  all_24_17 = e22 & op2(e23, e20) = e22
% 245.18/49.13  | | 
% 245.18/49.13  | | ALPHA: (21) implies:
% 245.18/49.13  | |   (22)  all_24_17 = e22
% 245.18/49.13  | | 
% 245.18/49.13  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (14), (15),
% 245.18/49.13  | |            (16), (17), (18), (19), (22) are inconsistent by sub-proof #855.
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #806 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_16 = e22 & op2(e24, e20) = e22
% 245.18/49.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (3)  op2(e24, e20) = all_16_20
% 245.18/49.13    (4)   ~ (all_16_20 = e22)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (5)  op2(e24, e20) = e22
% 245.18/49.13  | 
% 245.18/49.13  | GROUND_INST: instantiating (2) with all_16_20, e22, e20, e24, simplifying with
% 245.18/49.13  |              (3), (5) gives:
% 245.18/49.13  |   (6)  all_16_20 = e22
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (4), (6) imply:
% 245.18/49.13  |   (7)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (7) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #807 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)   ~ (e23 = e21)
% 245.18/49.13    (2)  op2(e23, e21) = e24
% 245.18/49.13    (3)   ~ (all_16_1 = e21)
% 245.18/49.13    (4)  op2(e23, e23) = e21
% 245.18/49.13    (5)  op2(e22, e20) = all_16_22
% 245.18/49.13    (6)  op2(e22, e24) = all_16_2
% 245.18/49.13    (7)   ~ (e23 = e22)
% 245.18/49.13    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (9)   ~ (e23 = e20)
% 245.18/49.13    (10)   ~ (all_16_7 = e23)
% 245.18/49.13    (11)   ~ (all_16_2 = e23)
% 245.18/49.13    (12)   ~ (all_16_17 = e23)
% 245.18/49.13    (13)   ~ (all_16_1 = e20)
% 245.18/49.13    (14)  all_24_8 = e22
% 245.18/49.13    (15)  op2(e23, e22) = e20
% 245.18/49.13    (16)   ~ (all_16_1 = e23)
% 245.18/49.13    (17)  op2(e22, e21) = all_16_17
% 245.18/49.13    (18)   ~ (all_16_22 = e23)
% 245.18/49.13    (19)  op2(e22, e23) = all_16_7
% 245.18/49.13    (20)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22, e23)
% 245.18/49.13            = e23) | (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 &
% 245.18/49.13            op2(e22, e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 245.18/49.13    (21)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.18/49.13    (22)  all_24_17 = e23
% 245.18/49.13    (23)  op2(e23, e24) = all_16_1
% 245.18/49.13    (24)   ~ (e24 = e23)
% 245.18/49.13    (25)  op2(e23, e21) = all_10_1
% 245.18/49.13    (26)  all_20_5 = all_16_1
% 245.18/49.13    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.13            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.13            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | BETA: splitting (20) gives:
% 245.18/49.13  | 
% 245.18/49.13  | Case 1:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (28)  (all_24_6 = e23 & op2(e22, e24) = e23) | (all_24_7 = e23 & op2(e22,
% 245.18/49.13  | |             e23) = e23)
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (28) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (29)  all_24_6 = e23 & op2(e22, e24) = e23
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (6), (8), (11), (29) are inconsistent by sub-proof #913.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (30)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (8), (10), (19), (30) are inconsistent by sub-proof #954.
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | Case 2:
% 245.18/49.13  | | 
% 245.18/49.13  | |   (31)  (all_24_8 = e23 & op2(e22, e22) = e23) | (all_24_11 = e23 & op2(e22,
% 245.18/49.13  | |             e21) = e23) | (all_24_18 = e23 & op2(e22, e20) = e23)
% 245.18/49.13  | | 
% 245.18/49.13  | | BETA: splitting (31) gives:
% 245.18/49.13  | | 
% 245.18/49.13  | | Case 1:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (32)  all_24_8 = e23 & op2(e22, e22) = e23
% 245.18/49.13  | | | 
% 245.18/49.13  | | | ALPHA: (32) implies:
% 245.18/49.13  | | |   (33)  all_24_8 = e23
% 245.18/49.13  | | | 
% 245.18/49.13  | | | COMBINE_EQS: (14), (33) imply:
% 245.18/49.13  | | |   (34)  e23 = e22
% 245.18/49.13  | | | 
% 245.18/49.13  | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (13), (15), (16), (21),
% 245.18/49.13  | | |            (22), (23), (24), (25), (26), (27), (34) are inconsistent by
% 245.18/49.13  | | |            sub-proof #810.
% 245.18/49.13  | | | 
% 245.18/49.13  | | Case 2:
% 245.18/49.13  | | | 
% 245.18/49.13  | | |   (35)  (all_24_11 = e23 & op2(e22, e21) = e23) | (all_24_18 = e23 &
% 245.18/49.13  | | |           op2(e22, e20) = e23)
% 245.18/49.13  | | | 
% 245.18/49.13  | | | BETA: splitting (35) gives:
% 245.18/49.13  | | | 
% 245.18/49.13  | | | Case 1:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (36)  all_24_11 = e23 & op2(e22, e21) = e23
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REF_CLOSE: (8), (12), (17), (36) are inconsistent by sub-proof #809.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | Case 2:
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | |   (37)  all_24_18 = e23 & op2(e22, e20) = e23
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | | REF_CLOSE: (5), (8), (18), (37) are inconsistent by sub-proof #808.
% 245.18/49.13  | | | | 
% 245.18/49.13  | | | End of split
% 245.18/49.13  | | | 
% 245.18/49.13  | | End of split
% 245.18/49.13  | | 
% 245.18/49.13  | End of split
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #808 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_18 = e23 & op2(e22, e20) = e23
% 245.18/49.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (3)  op2(e22, e20) = all_16_22
% 245.18/49.13    (4)   ~ (all_16_22 = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (5)  op2(e22, e20) = e23
% 245.18/49.13  | 
% 245.18/49.13  | GROUND_INST: instantiating (2) with all_16_22, e23, e20, e22, simplifying with
% 245.18/49.13  |              (3), (5) gives:
% 245.18/49.13  |   (6)  all_16_22 = e23
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (4), (6) imply:
% 245.18/49.13  |   (7)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (7) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #809 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  all_24_11 = e23 & op2(e22, e21) = e23
% 245.18/49.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (3)  op2(e22, e21) = all_16_17
% 245.18/49.13    (4)   ~ (all_16_17 = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | ALPHA: (1) implies:
% 245.18/49.13  |   (5)  op2(e22, e21) = e23
% 245.18/49.13  | 
% 245.18/49.13  | GROUND_INST: instantiating (2) with all_16_17, e23, e21, e22, simplifying with
% 245.18/49.13  |              (3), (5) gives:
% 245.18/49.13  |   (6)  all_16_17 = e23
% 245.18/49.13  | 
% 245.18/49.13  | REDUCE: (4), (6) imply:
% 245.18/49.13  |   (7)  $false
% 245.18/49.13  | 
% 245.18/49.13  | CLOSE: (7) is inconsistent.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #810 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)   ~ (e23 = e21)
% 245.18/49.13    (2)  op2(e23, e21) = e24
% 245.18/49.13    (3)   ~ (all_16_1 = e21)
% 245.18/49.13    (4)  op2(e23, e23) = e21
% 245.18/49.13    (5)   ~ (e23 = e22)
% 245.18/49.13    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (7)   ~ (e23 = e20)
% 245.18/49.13    (8)   ~ (all_16_1 = e20)
% 245.18/49.13    (9)  op2(e23, e22) = e20
% 245.18/49.13    (10)   ~ (all_16_1 = e23)
% 245.18/49.13    (11)  e23 = e22
% 245.18/49.13    (12)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.18/49.13    (13)  all_24_17 = e23
% 245.18/49.13    (14)  op2(e23, e24) = all_16_1
% 245.18/49.13    (15)   ~ (e24 = e23)
% 245.18/49.13    (16)  op2(e23, e21) = all_10_1
% 245.18/49.13    (17)  all_20_5 = all_16_1
% 245.18/49.13    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.13            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.13            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.13  
% 245.18/49.13  Begin of proof
% 245.18/49.13  | 
% 245.18/49.13  | SIMP: (11) implies:
% 245.18/49.13  |   (19)  e23 = e22
% 245.18/49.13  | 
% 245.18/49.13  | COMBINE_EQS: (13), (19) imply:
% 245.18/49.13  |   (20)  all_24_17 = e22
% 245.18/49.13  | 
% 245.18/49.13  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14),
% 245.18/49.13  |            (15), (16), (17), (18), (20) are inconsistent by sub-proof #855.
% 245.18/49.13  | 
% 245.18/49.13  End of proof
% 245.18/49.13  
% 245.18/49.13  Sub-proof #811 shows that the following formulas are inconsistent:
% 245.18/49.13  ----------------------------------------------------------------
% 245.18/49.13    (1)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.18/49.13           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.18/49.13           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.18/49.13    (2)   ~ (e24 = e20)
% 245.18/49.13    (3)   ~ (e23 = e21)
% 245.18/49.13    (4)  op2(e23, e21) = e24
% 245.18/49.13    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.13           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.13           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.13    (6)  op2(e23, e23) = e21
% 245.18/49.13    (7)  all_24_2 = e22
% 245.18/49.13    (8)   ~ (e23 = e22)
% 245.18/49.13    (9)   ~ (e22 = e20)
% 245.18/49.13    (10)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.18/49.13            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 245.18/49.13            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 245.18/49.13    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.13            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.13    (12)  all_24_21 = e23
% 245.18/49.13    (13)   ~ (e23 = e20)
% 245.18/49.13    (14)  op2(e24, e23) = e22
% 245.18/49.13    (15)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 245.18/49.13            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 245.18/49.13            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 245.18/49.13    (16)   ~ (e24 = e21)
% 245.18/49.13    (17)   ~ (e22 = e21)
% 245.18/49.13    (18)  op2(e23, e22) = e20
% 245.18/49.13    (19)  all_24_12 = e23
% 245.18/49.13    (20)  all_24_1 = e22
% 245.18/49.13    (21)  (all_24_6 = e22 & op2(e22, e24) = e22) | (all_24_7 = e22 & op2(e22, e23)
% 245.18/49.13            = e22)
% 245.18/49.13    (22)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.13            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.13            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.13    (23)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.13            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.13            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.13    (24)   ~ (e21 = e20)
% 245.18/49.13    (25)   ~ (e24 = e22)
% 245.18/49.13    (26)  all_24_17 = e23
% 245.18/49.13    (27)   ~ (e24 = e23)
% 245.18/49.13    (28)  op2(e23, e21) = all_10_1
% 245.18/49.13    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.13            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.13            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.13    (30)  all_24_5 = e20
% 245.18/49.14    (31)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.14            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.14            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.14    (32)  all_24_3 = e21
% 245.18/49.14    (33)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (21) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (34)  all_24_6 = e22 & op2(e22, e24) = e22
% 245.18/49.14  | | 
% 245.18/49.14  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 245.18/49.14  | |            (15), (16), (17), (18), (19), (23), (24), (25), (26), (27), (28),
% 245.18/49.14  | |            (29), (30), (33), (34) are inconsistent by sub-proof #816.
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (35)  all_24_7 = e22 & op2(e22, e23) = e22
% 245.18/49.14  | | 
% 245.18/49.14  | | ALPHA: (35) implies:
% 245.18/49.14  | |   (36)  all_24_7 = e22
% 245.18/49.14  | | 
% 245.18/49.14  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 245.18/49.14  | |            (16), (17), (18), (20), (22), (23), (24), (25), (26), (27), (28),
% 245.18/49.14  | |            (29), (31), (32), (33), (36) are inconsistent by sub-proof #812.
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #812 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_7 = e22
% 245.18/49.14    (2)   ~ (e24 = e20)
% 245.18/49.14    (3)   ~ (e23 = e21)
% 245.18/49.14    (4)  op2(e23, e21) = e24
% 245.18/49.14    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.14           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.14           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.14    (6)  op2(e23, e23) = e21
% 245.18/49.14    (7)  all_24_2 = e22
% 245.18/49.14    (8)   ~ (e23 = e22)
% 245.18/49.14    (9)   ~ (e22 = e20)
% 245.18/49.14    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (11)  all_24_21 = e23
% 245.18/49.14    (12)   ~ (e23 = e20)
% 245.18/49.14    (13)  op2(e24, e23) = e22
% 245.18/49.14    (14)   ~ (e24 = e21)
% 245.18/49.14    (15)   ~ (e22 = e21)
% 245.18/49.14    (16)  op2(e23, e22) = e20
% 245.18/49.14    (17)  all_24_1 = e22
% 245.18/49.14    (18)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.14            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.14    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (20)   ~ (e21 = e20)
% 245.18/49.14    (21)   ~ (e24 = e22)
% 245.18/49.14    (22)  all_24_17 = e23
% 245.18/49.14    (23)   ~ (e24 = e23)
% 245.18/49.14    (24)  op2(e23, e21) = all_10_1
% 245.18/49.14    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.14            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.14    (26)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.14            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.14            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.14    (27)  all_24_3 = e21
% 245.18/49.14    (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (26) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (29)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 245.18/49.14  | |             e23) = e20)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (29) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (30)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (9), (10), (13), (30) are inconsistent by sub-proof #911.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (31)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (6), (10), (20), (31) are inconsistent by sub-proof #1306.
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (32)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 245.18/49.14  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (32) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (33)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14),
% 245.18/49.14  | | |            (15), (16), (19), (20), (21), (23), (24), (25), (28), (33) are
% 245.18/49.14  | | |            inconsistent by sub-proof #815.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (34)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 245.18/49.14  | | |           op2(e20, e23) = e20)
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (34) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (35)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | ALPHA: (35) implies:
% 245.18/49.14  | | | |   (36)  all_24_13 = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (1), (2), (11), (14), (17), (18), (21), (23), (27), (36) are
% 245.18/49.14  | | | |            inconsistent by sub-proof #813.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (37)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (14),
% 245.18/49.14  | | | |            (15), (16), (20), (21), (22), (23), (24), (25), (28), (37)
% 245.18/49.14  | | | |            are inconsistent by sub-proof #846.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #813 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_7 = e22
% 245.18/49.14    (2)   ~ (e24 = e20)
% 245.18/49.14    (3)  all_24_13 = e20
% 245.18/49.14    (4)  all_24_21 = e23
% 245.18/49.14    (5)   ~ (e24 = e21)
% 245.18/49.14    (6)  all_24_1 = e22
% 245.18/49.14    (7)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14           = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.14           op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.14    (8)   ~ (e24 = e22)
% 245.18/49.14    (9)   ~ (e24 = e23)
% 245.18/49.14    (10)  all_24_3 = e21
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (7) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (11)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 245.18/49.14  | |             e23) = e24)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (11) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (12)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #870.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (13)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (5), (10), (13) are inconsistent by sub-proof #1323.
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (14)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 245.18/49.14  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (14) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (15)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.18/49.14  | | | 
% 245.18/49.14  | | | ALPHA: (15) implies:
% 245.18/49.14  | | |   (16)  all_24_7 = e24
% 245.18/49.14  | | | 
% 245.18/49.14  | | | COMBINE_EQS: (1), (16) imply:
% 245.18/49.14  | | |   (17)  e24 = e22
% 245.18/49.14  | | | 
% 245.18/49.14  | | | SIMP: (17) implies:
% 245.18/49.14  | | |   (18)  e24 = e22
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REDUCE: (8), (18) imply:
% 245.18/49.14  | | |   (19)  $false
% 245.18/49.14  | | | 
% 245.18/49.14  | | | CLOSE: (19) is inconsistent.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (20)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.18/49.14  | | |           op2(e20, e23) = e24)
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (20) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (21)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (2), (3), (21) are inconsistent by sub-proof #814.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (22)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (4), (9), (22) are inconsistent by sub-proof #843.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #814 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.18/49.14    (2)  all_24_13 = e20
% 245.18/49.14    (3)   ~ (e24 = e20)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | ALPHA: (1) implies:
% 245.18/49.14  |   (4)  all_24_13 = e24
% 245.18/49.14  | 
% 245.18/49.14  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.14  |   (5)  e24 = e20
% 245.18/49.14  | 
% 245.18/49.14  | REDUCE: (3), (5) imply:
% 245.18/49.14  |   (6)  $false
% 245.18/49.14  | 
% 245.18/49.14  | CLOSE: (6) is inconsistent.
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #815 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.18/49.14    (2)  all_24_7 = e22
% 245.18/49.14    (3)   ~ (e24 = e20)
% 245.18/49.14    (4)   ~ (e23 = e21)
% 245.18/49.14    (5)  op2(e23, e21) = e24
% 245.18/49.14    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.14           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.14           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.14    (7)  op2(e23, e23) = e21
% 245.18/49.14    (8)  all_24_2 = e22
% 245.18/49.14    (9)   ~ (e23 = e22)
% 245.18/49.14    (10)   ~ (e22 = e20)
% 245.18/49.14    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (12)   ~ (e23 = e20)
% 245.18/49.14    (13)   ~ (e24 = e21)
% 245.18/49.14    (14)   ~ (e22 = e21)
% 245.18/49.14    (15)  op2(e23, e22) = e20
% 245.18/49.14    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (17)   ~ (e21 = e20)
% 245.18/49.14    (18)   ~ (e24 = e22)
% 245.18/49.14    (19)   ~ (e24 = e23)
% 245.18/49.14    (20)  op2(e23, e21) = all_10_1
% 245.18/49.14    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.14            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.14    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | ALPHA: (1) implies:
% 245.18/49.14  |   (23)  all_24_7 = e20
% 245.18/49.14  | 
% 245.18/49.14  | COMBINE_EQS: (2), (23) imply:
% 245.18/49.14  |   (24)  e22 = e20
% 245.18/49.14  | 
% 245.18/49.14  | COMBINE_EQS: (8), (24) imply:
% 245.18/49.14  |   (25)  all_24_2 = e20
% 245.18/49.14  | 
% 245.18/49.14  | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 245.18/49.14  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.18/49.14  |            sub-proof #1307.
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #816 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_6 = e22 & op2(e22, e24) = e22
% 245.18/49.14    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.18/49.14           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.18/49.14           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.18/49.14    (3)   ~ (e24 = e20)
% 245.18/49.14    (4)   ~ (e23 = e21)
% 245.18/49.14    (5)  op2(e23, e21) = e24
% 245.18/49.14    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.14           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.14           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.14    (7)  op2(e23, e23) = e21
% 245.18/49.14    (8)  all_24_2 = e22
% 245.18/49.14    (9)   ~ (e23 = e22)
% 245.18/49.14    (10)   ~ (e22 = e20)
% 245.18/49.14    (11)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.18/49.14            = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 245.18/49.14            op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 245.18/49.14    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (13)   ~ (e23 = e20)
% 245.18/49.14    (14)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23, e24)
% 245.18/49.14            = e20) | (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 &
% 245.18/49.14            op2(e21, e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 245.18/49.14    (15)   ~ (e24 = e21)
% 245.18/49.14    (16)   ~ (e22 = e21)
% 245.18/49.14    (17)  op2(e23, e22) = e20
% 245.18/49.14    (18)  all_24_12 = e23
% 245.18/49.14    (19)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (20)   ~ (e21 = e20)
% 245.18/49.14    (21)   ~ (e24 = e22)
% 245.18/49.14    (22)  all_24_17 = e23
% 245.18/49.14    (23)   ~ (e24 = e23)
% 245.18/49.14    (24)  op2(e23, e21) = all_10_1
% 245.18/49.14    (25)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.14            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.14    (26)  all_24_5 = e20
% 245.18/49.14    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | ALPHA: (1) implies:
% 245.18/49.14  |   (28)  all_24_6 = e22
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (14) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (29)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_2 = e20 & op2(e23,
% 245.18/49.14  | |             e24) = e20)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (29) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (30)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | ALPHA: (30) implies:
% 245.18/49.14  | | |   (31)  all_24_0 = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (2) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (32)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 &
% 245.18/49.14  | | | |           op2(e23, e24) = e21)
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (3), (4), (5), (7), (9), (10), (12), (13), (15), (16), (17),
% 245.18/49.14  | | | |            (19), (20), (21), (23), (24), (25), (26), (27), (31), (32)
% 245.18/49.14  | | | |            are inconsistent by sub-proof #880.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (33)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.18/49.14  | | | |           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | BETA: splitting (33) gives:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | Case 1:
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | |   (34)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (12), (13), (15), (16),
% 245.18/49.14  | | | | |            (17), (19), (21), (23), (24), (25), (26), (27), (28), (34)
% 245.18/49.14  | | | | |            are inconsistent by sub-proof #828.
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | Case 2:
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | |   (35)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 245.18/49.14  | | | | |           op2(e20, e24) = e21)
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | | BETA: splitting (35) gives:
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | | Case 1:
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | |   (36)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (12), (13), (15), (17), (18),
% 245.18/49.14  | | | | | |            (21), (22), (23), (24), (25), (27), (36) are inconsistent
% 245.18/49.14  | | | | | |            by sub-proof #873.
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | Case 2:
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | |   (37)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | | ALPHA: (37) implies:
% 245.18/49.14  | | | | | |   (38)  all_24_20 = e21
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | | BETA: splitting (11) gives:
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | | Case 1:
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | |   (39)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 &
% 245.18/49.14  | | | | | | |           op2(e23, e24) = e24)
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | | BETA: splitting (39) gives:
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | | Case 1:
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | |   (40)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | | REF_CLOSE: (3), (31), (40) are inconsistent by sub-proof #863.
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | Case 2:
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | |   (41)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (10), (12), (13), (16), (17),
% 245.18/49.14  | | | | | | | |            (19), (21), (23), (24), (27), (41) are inconsistent
% 245.18/49.14  | | | | | | | |            by sub-proof #826.
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | End of split
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | Case 2:
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | |   (42)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24
% 245.18/49.14  | | | | | | |           & op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20,
% 245.18/49.14  | | | | | | |             e24) = e24)
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | | BETA: splitting (42) gives:
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | | Case 1:
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | |   (43)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | | REF_CLOSE: (21), (28), (43) are inconsistent by sub-proof #825.
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | Case 2:
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | |   (44)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 =
% 245.18/49.14  | | | | | | | |           e24 & op2(e20, e24) = e24)
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | | BETA: splitting (44) gives:
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | | Case 1:
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | |   (45)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | | REF_CLOSE: (18), (23), (45) are inconsistent by sub-proof
% 245.18/49.14  | | | | | | | | |            #824.
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | Case 2:
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | |   (46)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | | REF_CLOSE: (15), (38), (46) are inconsistent by sub-proof
% 245.18/49.14  | | | | | | | | |            #823.
% 245.18/49.14  | | | | | | | | | 
% 245.18/49.14  | | | | | | | | End of split
% 245.18/49.14  | | | | | | | | 
% 245.18/49.14  | | | | | | | End of split
% 245.18/49.14  | | | | | | | 
% 245.18/49.14  | | | | | | End of split
% 245.18/49.14  | | | | | | 
% 245.18/49.14  | | | | | End of split
% 245.18/49.14  | | | | | 
% 245.18/49.14  | | | | End of split
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (47)  all_24_2 = e20 & op2(e23, e24) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | ALPHA: (47) implies:
% 245.18/49.14  | | |   (48)  all_24_2 = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (12), (13), (15), (16),
% 245.18/49.14  | | |            (17), (19), (20), (21), (23), (24), (25), (27), (48) are
% 245.18/49.14  | | |            inconsistent by sub-proof #1307.
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (49)  (all_24_6 = e20 & op2(e22, e24) = e20) | (all_24_12 = e20 & op2(e21,
% 245.18/49.14  | |             e24) = e20) | (all_24_20 = e20 & op2(e20, e24) = e20)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (49) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (50)  all_24_6 = e20 & op2(e22, e24) = e20
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (15),
% 245.18/49.14  | | |            (16), (17), (19), (20), (21), (23), (24), (25), (27), (28),
% 245.18/49.14  | | |            (50) are inconsistent by sub-proof #822.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (51)  (all_24_12 = e20 & op2(e21, e24) = e20) | (all_24_20 = e20 &
% 245.18/49.14  | | |           op2(e20, e24) = e20)
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (51) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (52)  all_24_12 = e20 & op2(e21, e24) = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (12), (13), (15), (16),
% 245.18/49.14  | | | |            (17), (18), (20), (21), (22), (23), (24), (25), (27), (52)
% 245.18/49.14  | | | |            are inconsistent by sub-proof #868.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (53)  all_24_20 = e20 & op2(e20, e24) = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | ALPHA: (53) implies:
% 245.18/49.14  | | | |   (54)  all_24_20 = e20
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.18/49.14  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.18/49.14  | | | |            (25), (26), (27), (28), (54) are inconsistent by sub-proof
% 245.18/49.14  | | | |            #817.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #817 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.18/49.14           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.18/49.14           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.18/49.14    (2)   ~ (e24 = e20)
% 245.18/49.14    (3)   ~ (e23 = e21)
% 245.18/49.14    (4)  op2(e23, e21) = e24
% 245.18/49.14    (5)  op2(e23, e23) = e21
% 245.18/49.14    (6)  all_24_2 = e22
% 245.18/49.14    (7)   ~ (e23 = e22)
% 245.18/49.14    (8)   ~ (e22 = e20)
% 245.18/49.14    (9)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.18/49.14           = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 245.18/49.14           op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 245.18/49.14    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (11)   ~ (e23 = e20)
% 245.18/49.14    (12)   ~ (e24 = e21)
% 245.18/49.14    (13)   ~ (e22 = e21)
% 245.18/49.14    (14)  op2(e23, e22) = e20
% 245.18/49.14    (15)  all_24_12 = e23
% 245.18/49.14    (16)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (17)  all_24_6 = e22
% 245.18/49.14    (18)   ~ (e21 = e20)
% 245.18/49.14    (19)   ~ (e24 = e22)
% 245.18/49.14    (20)  all_24_17 = e23
% 245.18/49.14    (21)   ~ (e24 = e23)
% 245.18/49.14    (22)  op2(e23, e21) = all_10_1
% 245.18/49.14    (23)  all_24_20 = e20
% 245.18/49.14    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.14            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.14            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.14    (25)  all_24_5 = e20
% 245.18/49.14    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (1) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (27)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 245.18/49.14  | |             e24) = e21)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (27) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (28)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.18/49.14  | | | 
% 245.18/49.14  | | | ALPHA: (28) implies:
% 245.18/49.14  | | |   (29)  all_24_0 = e21
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.18/49.14  | | |            (14), (15), (16), (17), (19), (21), (22), (23), (26), (29) are
% 245.18/49.14  | | |            inconsistent by sub-proof #819.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (30)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.18/49.14  | | | 
% 245.18/49.14  | | | ALPHA: (30) implies:
% 245.18/49.14  | | |   (31)  all_24_2 = e21
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 245.18/49.14  | | |            (16), (19), (21), (22), (24), (25), (26), (31) are inconsistent
% 245.18/49.14  | | |            by sub-proof #1298.
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (32)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 245.18/49.14  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (32) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (33)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 245.18/49.14  | | |            (14), (16), (17), (19), (21), (22), (24), (25), (26), (33) are
% 245.18/49.14  | | |            inconsistent by sub-proof #828.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (34)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 245.18/49.14  | | |           op2(e20, e24) = e21)
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (34) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (35)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (11), (12), (14), (15), (19),
% 245.18/49.14  | | | |            (20), (21), (22), (24), (26), (35) are inconsistent by
% 245.18/49.14  | | | |            sub-proof #873.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (36)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (18), (23), (36) are inconsistent by sub-proof #818.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #818 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.18/49.14    (2)  all_24_20 = e20
% 245.18/49.14    (3)   ~ (e21 = e20)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | ALPHA: (1) implies:
% 245.18/49.14  |   (4)  all_24_20 = e21
% 245.18/49.14  | 
% 245.18/49.14  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.14  |   (5)  e21 = e20
% 245.18/49.14  | 
% 245.18/49.14  | REDUCE: (3), (5) imply:
% 245.18/49.14  |   (6)  $false
% 245.18/49.14  | 
% 245.18/49.14  | CLOSE: (6) is inconsistent.
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #819 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)   ~ (e24 = e20)
% 245.18/49.14    (2)   ~ (e23 = e21)
% 245.18/49.14    (3)  op2(e23, e21) = e24
% 245.18/49.14    (4)  op2(e23, e23) = e21
% 245.18/49.14    (5)   ~ (e23 = e22)
% 245.18/49.14    (6)   ~ (e22 = e20)
% 245.18/49.14    (7)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.18/49.14           = e24) | (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 &
% 245.18/49.14           op2(e21, e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 245.18/49.14    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (9)  all_24_0 = e21
% 245.18/49.14    (10)   ~ (e23 = e20)
% 245.18/49.14    (11)   ~ (e24 = e21)
% 245.18/49.14    (12)   ~ (e22 = e21)
% 245.18/49.14    (13)  op2(e23, e22) = e20
% 245.18/49.14    (14)  all_24_12 = e23
% 245.18/49.14    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (16)  all_24_6 = e22
% 245.18/49.14    (17)   ~ (e24 = e22)
% 245.18/49.14    (18)   ~ (e24 = e23)
% 245.18/49.14    (19)  op2(e23, e21) = all_10_1
% 245.18/49.14    (20)  all_24_20 = e20
% 245.18/49.14    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.14            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.14            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | BETA: splitting (7) gives:
% 245.18/49.14  | 
% 245.18/49.14  | Case 1:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (22)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23,
% 245.18/49.14  | |             e24) = e24)
% 245.18/49.14  | | 
% 245.18/49.14  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (15),
% 245.18/49.14  | |            (17), (18), (19), (21), (22) are inconsistent by sub-proof #821.
% 245.18/49.14  | | 
% 245.18/49.14  | Case 2:
% 245.18/49.14  | | 
% 245.18/49.14  | |   (23)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_12 = e24 & op2(e21,
% 245.18/49.14  | |             e24) = e24) | (all_24_20 = e24 & op2(e20, e24) = e24)
% 245.18/49.14  | | 
% 245.18/49.14  | | BETA: splitting (23) gives:
% 245.18/49.14  | | 
% 245.18/49.14  | | Case 1:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (24)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.14  | | | 
% 245.18/49.14  | | | REF_CLOSE: (16), (17), (24) are inconsistent by sub-proof #825.
% 245.18/49.14  | | | 
% 245.18/49.14  | | Case 2:
% 245.18/49.14  | | | 
% 245.18/49.14  | | |   (25)  (all_24_12 = e24 & op2(e21, e24) = e24) | (all_24_20 = e24 &
% 245.18/49.14  | | |           op2(e20, e24) = e24)
% 245.18/49.14  | | | 
% 245.18/49.14  | | | BETA: splitting (25) gives:
% 245.18/49.14  | | | 
% 245.18/49.14  | | | Case 1:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (26)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (14), (18), (26) are inconsistent by sub-proof #824.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | Case 2:
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | |   (27)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | | REF_CLOSE: (1), (20), (27) are inconsistent by sub-proof #820.
% 245.18/49.14  | | | | 
% 245.18/49.14  | | | End of split
% 245.18/49.14  | | | 
% 245.18/49.14  | | End of split
% 245.18/49.14  | | 
% 245.18/49.14  | End of split
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #820 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.18/49.14    (2)  all_24_20 = e20
% 245.18/49.14    (3)   ~ (e24 = e20)
% 245.18/49.14  
% 245.18/49.14  Begin of proof
% 245.18/49.14  | 
% 245.18/49.14  | ALPHA: (1) implies:
% 245.18/49.14  |   (4)  all_24_20 = e24
% 245.18/49.14  | 
% 245.18/49.14  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.14  |   (5)  e24 = e20
% 245.18/49.14  | 
% 245.18/49.14  | REDUCE: (3), (5) imply:
% 245.18/49.14  |   (6)  $false
% 245.18/49.14  | 
% 245.18/49.14  | CLOSE: (6) is inconsistent.
% 245.18/49.14  | 
% 245.18/49.14  End of proof
% 245.18/49.14  
% 245.18/49.14  Sub-proof #821 shows that the following formulas are inconsistent:
% 245.18/49.14  ----------------------------------------------------------------
% 245.18/49.14    (1)   ~ (e23 = e21)
% 245.18/49.14    (2)  op2(e23, e21) = e24
% 245.18/49.14    (3)  op2(e23, e23) = e21
% 245.18/49.14    (4)   ~ (e23 = e22)
% 245.18/49.14    (5)   ~ (e22 = e20)
% 245.18/49.14    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.14           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.14    (7)  all_24_0 = e21
% 245.18/49.14    (8)   ~ (e23 = e20)
% 245.18/49.14    (9)   ~ (e24 = e21)
% 245.18/49.14    (10)   ~ (e22 = e21)
% 245.18/49.14    (11)  op2(e23, e22) = e20
% 245.18/49.14    (12)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_2 = e24 & op2(e23, e24)
% 245.18/49.14            = e24)
% 245.18/49.14    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.14            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.14            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.14    (14)   ~ (e24 = e22)
% 245.18/49.14    (15)   ~ (e24 = e23)
% 245.18/49.14    (16)  op2(e23, e21) = all_10_1
% 245.18/49.15    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (12) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (18)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | ALPHA: (18) implies:
% 245.18/49.15  | |   (19)  all_24_0 = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | COMBINE_EQS: (7), (19) imply:
% 245.18/49.15  | |   (20)  e24 = e21
% 245.18/49.15  | | 
% 245.18/49.15  | | SIMP: (20) implies:
% 245.18/49.15  | |   (21)  e24 = e21
% 245.18/49.15  | | 
% 245.18/49.15  | | REDUCE: (9), (21) imply:
% 245.18/49.15  | |   (22)  $false
% 245.18/49.15  | | 
% 245.18/49.15  | | CLOSE: (22) is inconsistent.
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (23)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (11), (13), (14), (15),
% 245.18/49.15  | |            (16), (17), (23) are inconsistent by sub-proof #826.
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #822 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_6 = e20 & op2(e22, e24) = e20
% 245.18/49.15    (2)   ~ (e24 = e20)
% 245.18/49.15    (3)   ~ (e23 = e21)
% 245.18/49.15    (4)  op2(e23, e21) = e24
% 245.18/49.15    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.15           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.15           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.15    (6)  op2(e23, e23) = e21
% 245.18/49.15    (7)  all_24_2 = e22
% 245.18/49.15    (8)   ~ (e23 = e22)
% 245.18/49.15    (9)   ~ (e22 = e20)
% 245.18/49.15    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (11)   ~ (e23 = e20)
% 245.18/49.15    (12)   ~ (e24 = e21)
% 245.18/49.15    (13)   ~ (e22 = e21)
% 245.18/49.15    (14)  op2(e23, e22) = e20
% 245.18/49.15    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.15            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.15            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.15    (16)  all_24_6 = e22
% 245.18/49.15    (17)   ~ (e21 = e20)
% 245.18/49.15    (18)   ~ (e24 = e22)
% 245.18/49.15    (19)   ~ (e24 = e23)
% 245.18/49.15    (20)  op2(e23, e21) = all_10_1
% 245.18/49.15    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (23)  all_24_6 = e20
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (16), (23) imply:
% 245.18/49.15  |   (24)  e22 = e20
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (7), (24) imply:
% 245.18/49.15  |   (25)  all_24_2 = e20
% 245.18/49.15  | 
% 245.18/49.15  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 245.18/49.15  |            (15), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 245.18/49.15  |            sub-proof #1307.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #823 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_20 = e24 & op2(e20, e24) = e24
% 245.18/49.15    (2)  all_24_20 = e21
% 245.18/49.15    (3)   ~ (e24 = e21)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (4)  all_24_20 = e24
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.15  |   (5)  e24 = e21
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (3), (5) imply:
% 245.18/49.15  |   (6)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (6) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #824 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_12 = e24 & op2(e21, e24) = e24
% 245.18/49.15    (2)  all_24_12 = e23
% 245.18/49.15    (3)   ~ (e24 = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (4)  all_24_12 = e24
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.15  |   (5)  e24 = e23
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (3), (5) imply:
% 245.18/49.15  |   (6)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (6) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #825 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.15    (2)  all_24_6 = e22
% 245.18/49.15    (3)   ~ (e24 = e22)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (4)  all_24_6 = e24
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.15  |   (5)  e24 = e22
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (3), (5) imply:
% 245.18/49.15  |   (6)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (6) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #826 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.18/49.15    (2)   ~ (e23 = e21)
% 245.18/49.15    (3)  op2(e23, e21) = e24
% 245.18/49.15    (4)  op2(e23, e23) = e21
% 245.18/49.15    (5)   ~ (e23 = e22)
% 245.18/49.15    (6)   ~ (e22 = e20)
% 245.18/49.15    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (8)   ~ (e23 = e20)
% 245.18/49.15    (9)   ~ (e22 = e21)
% 245.18/49.15    (10)  op2(e23, e22) = e20
% 245.18/49.15    (11)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.15            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.15            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.15    (12)   ~ (e24 = e22)
% 245.18/49.15    (13)   ~ (e24 = e23)
% 245.18/49.15    (14)  op2(e23, e21) = all_10_1
% 245.18/49.15    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (16)  all_24_2 = e24
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (11) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (17)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 245.18/49.15  | |             e23) = e22)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (17) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (18)  all_24_2 = e22 & op2(e23, e24) = e22
% 245.18/49.15  | | | 
% 245.18/49.15  | | | ALPHA: (18) implies:
% 245.18/49.15  | | |   (19)  all_24_2 = e22
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (12), (16), (19) are inconsistent by sub-proof #890.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (20)  all_24_3 = e22 & op2(e23, e23) = e22
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (4), (7), (9), (20) are inconsistent by sub-proof #1331.
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (21)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 245.18/49.15  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (21) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (22)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (6), (7), (10), (22) are inconsistent by sub-proof #1330.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (23)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 245.18/49.15  | | |           op2(e23, e20) = e22)
% 245.18/49.15  | | | 
% 245.18/49.15  | | | BETA: splitting (23) gives:
% 245.18/49.15  | | | 
% 245.18/49.15  | | | Case 1:
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | |   (24)  all_24_10 = e22 & op2(e23, e21) = e22
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | | ALPHA: (24) implies:
% 245.18/49.15  | | | |   (25)  op2(e23, e21) = e22
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | | REF_CLOSE: (3), (7), (12), (14), (25) are inconsistent by sub-proof
% 245.18/49.15  | | | |            #963.
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | Case 2:
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | |   (26)  all_24_17 = e22 & op2(e23, e20) = e22
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | | ALPHA: (26) implies:
% 245.18/49.15  | | | |   (27)  all_24_17 = e22
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | | BETA: splitting (15) gives:
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | | Case 1:
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | |   (28)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 245.18/49.15  | | | | |           op2(e23, e23) = e23)
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | | BETA: splitting (28) gives:
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | | Case 1:
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | |   (29)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | ALPHA: (29) implies:
% 245.18/49.15  | | | | | |   (30)  all_24_2 = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | REF_CLOSE: (13), (16), (30) are inconsistent by sub-proof #827.
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | Case 2:
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | |   (31)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | ALPHA: (31) implies:
% 245.18/49.15  | | | | | |   (32)  op2(e23, e23) = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | REF_CLOSE: (2), (4), (7), (32) are inconsistent by sub-proof #1305.
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | End of split
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | Case 2:
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | |   (33)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15  | | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 245.18/49.15  | | | | |           e23)
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | | BETA: splitting (33) gives:
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | | Case 1:
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | |   (34)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | ALPHA: (34) implies:
% 245.18/49.15  | | | | | |   (35)  op2(e23, e22) = e23
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | REF_CLOSE: (7), (8), (10), (35) are inconsistent by sub-proof #1326.
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | Case 2:
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | |   (36)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.18/49.15  | | | | | |           op2(e23, e20) = e23)
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | BETA: splitting (36) gives:
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | | Case 1:
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | |   (37)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | | ALPHA: (37) implies:
% 245.18/49.15  | | | | | | |   (38)  op2(e23, e21) = e23
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | | REF_CLOSE: (3), (7), (13), (14), (38) are inconsistent by
% 245.18/49.15  | | | | | | |            sub-proof #957.
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | Case 2:
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | |   (39)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | | REF_CLOSE: (5), (27), (39) are inconsistent by sub-proof #1311.
% 245.18/49.15  | | | | | | | 
% 245.18/49.15  | | | | | | End of split
% 245.18/49.15  | | | | | | 
% 245.18/49.15  | | | | | End of split
% 245.18/49.15  | | | | | 
% 245.18/49.15  | | | | End of split
% 245.18/49.15  | | | | 
% 245.18/49.15  | | | End of split
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #827 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_2 = e24
% 245.18/49.15    (2)  all_24_2 = e23
% 245.18/49.15    (3)   ~ (e24 = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (1), (2) imply:
% 245.18/49.15  |   (4)  e24 = e23
% 245.18/49.15  | 
% 245.18/49.15  | SIMP: (4) implies:
% 245.18/49.15  |   (5)  e24 = e23
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (3), (5) imply:
% 245.18/49.15  |   (6)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (6) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #828 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.18/49.15    (2)   ~ (e24 = e20)
% 245.18/49.15    (3)   ~ (e23 = e21)
% 245.18/49.15    (4)  op2(e23, e21) = e24
% 245.18/49.15    (5)  op2(e23, e23) = e21
% 245.18/49.15    (6)  all_24_2 = e22
% 245.18/49.15    (7)   ~ (e23 = e22)
% 245.18/49.15    (8)   ~ (e22 = e20)
% 245.18/49.15    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (10)   ~ (e23 = e20)
% 245.18/49.15    (11)   ~ (e24 = e21)
% 245.18/49.15    (12)   ~ (e22 = e21)
% 245.18/49.15    (13)  op2(e23, e22) = e20
% 245.18/49.15    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.15            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.15            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.15    (15)  all_24_6 = e22
% 245.18/49.15    (16)   ~ (e24 = e22)
% 245.18/49.15    (17)   ~ (e24 = e23)
% 245.18/49.15    (18)  op2(e23, e21) = all_10_1
% 245.18/49.15    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (20)  all_24_5 = e20
% 245.18/49.15    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (22)  all_24_6 = e21
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (15), (22) imply:
% 245.18/49.15  |   (23)  e22 = e21
% 245.18/49.15  | 
% 245.18/49.15  | SIMP: (23) implies:
% 245.18/49.15  |   (24)  e22 = e21
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (6), (24) imply:
% 245.18/49.15  |   (25)  all_24_2 = e21
% 245.18/49.15  | 
% 245.18/49.15  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.18/49.15  |            (16), (17), (18), (19), (20), (21), (25) are inconsistent by
% 245.18/49.15  |            sub-proof #1298.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #829 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_11 = e24 & op2(e22, e21) = e24
% 245.18/49.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (3)  op2(e22, e21) = all_16_17
% 245.18/49.15    (4)   ~ (all_16_17 = e24)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | ALPHA: (1) implies:
% 245.18/49.15  |   (5)  op2(e22, e21) = e24
% 245.18/49.15  | 
% 245.18/49.15  | GROUND_INST: instantiating (2) with all_16_17, e24, e21, e22, simplifying with
% 245.18/49.15  |              (3), (5) gives:
% 245.18/49.15  |   (6)  all_16_17 = e24
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (4), (6) imply:
% 245.18/49.15  |   (7)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (7) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #830 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_7 = e20
% 245.18/49.15    (2)   ~ (e24 = e20)
% 245.18/49.15    (3)   ~ (e23 = e21)
% 245.18/49.15    (4)  op2(e23, e21) = e24
% 245.18/49.15    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.15           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.15           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.15    (6)  op2(e23, e23) = e21
% 245.18/49.15    (7)  all_24_2 = e22
% 245.18/49.15    (8)   ~ (e23 = e22)
% 245.18/49.15    (9)   ~ (e22 = e20)
% 245.18/49.15    (10)  all_24_6 = e21
% 245.18/49.15    (11)  op2(e21, e23) = all_16_8
% 245.18/49.15    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (13)  all_24_21 = e23
% 245.18/49.15    (14)   ~ (e23 = e20)
% 245.18/49.15    (15)   ~ (all_16_7 = e23)
% 245.18/49.15    (16)  op2(e24, e23) = e22
% 245.18/49.15    (17)   ~ (e24 = e21)
% 245.18/49.15    (18)   ~ (e22 = e21)
% 245.18/49.15    (19)  op2(e23, e22) = e20
% 245.18/49.15    (20)  (all_24_6 = e24 & op2(e22, e24) = e24) | (all_24_7 = e24 & op2(e22, e23)
% 245.18/49.15            = e24)
% 245.18/49.15    (21)  all_24_13 = e24
% 245.18/49.15    (22)  all_24_1 = e22
% 245.18/49.15    (23)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.15            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.15    (24)   ~ (all_16_8 = e23)
% 245.18/49.15    (25)  op2(e22, e23) = all_16_7
% 245.18/49.15    (26)   ~ (e21 = e20)
% 245.18/49.15    (27)   ~ (e24 = e22)
% 245.18/49.15    (28)  all_24_17 = e23
% 245.18/49.15    (29)   ~ (e24 = e23)
% 245.18/49.15    (30)  op2(e23, e21) = all_10_1
% 245.18/49.15    (31)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.18/49.15            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.18/49.15    (32)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (33)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.15            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.15            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.15    (34)  all_24_3 = e21
% 245.18/49.15    (35)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (20) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (36)  all_24_6 = e24 & op2(e22, e24) = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | ALPHA: (36) implies:
% 245.18/49.15  | |   (37)  all_24_6 = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | COMBINE_EQS: (10), (37) imply:
% 245.18/49.15  | |   (38)  e24 = e21
% 245.18/49.15  | | 
% 245.18/49.15  | | SIMP: (38) implies:
% 245.18/49.15  | |   (39)  e24 = e21
% 245.18/49.15  | | 
% 245.18/49.15  | | COMBINE_EQS: (21), (39) imply:
% 245.18/49.15  | |   (40)  all_24_13 = e21
% 245.18/49.15  | | 
% 245.18/49.15  | | REF_CLOSE: (1), (2), (3), (6), (8), (11), (12), (15), (16), (17), (22),
% 245.18/49.15  | |            (23), (24), (25), (27), (29), (31), (34), (40) are inconsistent
% 245.18/49.15  | |            by sub-proof #835.
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (41)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | ALPHA: (41) implies:
% 245.18/49.15  | |   (42)  all_24_7 = e24
% 245.18/49.15  | | 
% 245.18/49.15  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (12), (13), (14), (16),
% 245.18/49.15  | |            (17), (18), (19), (21), (26), (27), (28), (29), (30), (32), (33),
% 245.18/49.15  | |            (35), (42) are inconsistent by sub-proof #831.
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #831 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)   ~ (e24 = e20)
% 245.18/49.15    (2)   ~ (e23 = e21)
% 245.18/49.15    (3)  op2(e23, e21) = e24
% 245.18/49.15    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.15           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.15           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.15    (5)  op2(e23, e23) = e21
% 245.18/49.15    (6)  all_24_2 = e22
% 245.18/49.15    (7)   ~ (e23 = e22)
% 245.18/49.15    (8)   ~ (e22 = e20)
% 245.18/49.15    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (10)  all_24_7 = e24
% 245.18/49.15    (11)  all_24_21 = e23
% 245.18/49.15    (12)   ~ (e23 = e20)
% 245.18/49.15    (13)  op2(e24, e23) = e22
% 245.18/49.15    (14)   ~ (e24 = e21)
% 245.18/49.15    (15)   ~ (e22 = e21)
% 245.18/49.15    (16)  op2(e23, e22) = e20
% 245.18/49.15    (17)  all_24_13 = e24
% 245.18/49.15    (18)   ~ (e21 = e20)
% 245.18/49.15    (19)   ~ (e24 = e22)
% 245.18/49.15    (20)  all_24_17 = e23
% 245.18/49.15    (21)   ~ (e24 = e23)
% 245.18/49.15    (22)  op2(e23, e21) = all_10_1
% 245.18/49.15    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (24)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.15            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.15            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.15    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (24) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (26)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 245.18/49.15  | |             e23) = e20)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (26) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (27)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (8), (9), (13), (27) are inconsistent by sub-proof #911.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (28)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (5), (9), (18), (28) are inconsistent by sub-proof #1306.
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (29)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 245.18/49.15  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (29) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (30)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (1), (10), (30) are inconsistent by sub-proof #847.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (31)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 245.18/49.15  | | |           op2(e20, e23) = e20)
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (14), (15),
% 245.18/49.15  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (25), (31) are
% 245.18/49.15  | | |            inconsistent by sub-proof #832.
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #832 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20,
% 245.18/49.15             e23) = e20)
% 245.18/49.15    (2)   ~ (e24 = e20)
% 245.18/49.15    (3)   ~ (e23 = e21)
% 245.18/49.15    (4)  op2(e23, e21) = e24
% 245.18/49.15    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.15           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.15           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.15    (6)  op2(e23, e23) = e21
% 245.18/49.15    (7)  all_24_2 = e22
% 245.18/49.15    (8)   ~ (e23 = e22)
% 245.18/49.15    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (10)  all_24_21 = e23
% 245.18/49.15    (11)   ~ (e23 = e20)
% 245.18/49.15    (12)   ~ (e24 = e21)
% 245.18/49.15    (13)   ~ (e22 = e21)
% 245.18/49.15    (14)  op2(e23, e22) = e20
% 245.18/49.15    (15)  all_24_13 = e24
% 245.18/49.15    (16)   ~ (e21 = e20)
% 245.18/49.15    (17)   ~ (e24 = e22)
% 245.18/49.15    (18)  all_24_17 = e23
% 245.18/49.15    (19)   ~ (e24 = e23)
% 245.18/49.15    (20)  op2(e23, e21) = all_10_1
% 245.18/49.15    (21)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (1) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (23)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.18/49.15  | | 
% 245.18/49.15  | | ALPHA: (23) implies:
% 245.18/49.15  | |   (24)  all_24_13 = e20
% 245.18/49.15  | | 
% 245.18/49.15  | | REF_CLOSE: (2), (15), (24) are inconsistent by sub-proof #834.
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (25)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.18/49.15  | | 
% 245.18/49.15  | | ALPHA: (25) implies:
% 245.18/49.15  | |   (26)  all_24_21 = e20
% 245.18/49.15  | | 
% 245.18/49.15  | | COMBINE_EQS: (10), (26) imply:
% 245.18/49.15  | |   (27)  e23 = e20
% 245.18/49.15  | | 
% 245.18/49.15  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 245.18/49.15  | |            (16), (17), (18), (19), (20), (21), (22), (27) are inconsistent
% 245.18/49.15  | |            by sub-proof #833.
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #833 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)   ~ (e24 = e20)
% 245.18/49.15    (2)   ~ (e23 = e21)
% 245.18/49.15    (3)  op2(e23, e21) = e24
% 245.18/49.15    (4)  e23 = e20
% 245.18/49.15    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.15           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.15           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.15    (6)  op2(e23, e23) = e21
% 245.18/49.15    (7)  all_24_2 = e22
% 245.18/49.15    (8)   ~ (e23 = e22)
% 245.18/49.15    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (10)   ~ (e23 = e20)
% 245.18/49.15    (11)   ~ (e24 = e21)
% 245.18/49.15    (12)   ~ (e22 = e21)
% 245.18/49.15    (13)  op2(e23, e22) = e20
% 245.18/49.15    (14)   ~ (e21 = e20)
% 245.18/49.15    (15)   ~ (e24 = e22)
% 245.18/49.15    (16)  all_24_17 = e23
% 245.18/49.15    (17)   ~ (e24 = e23)
% 245.18/49.15    (18)  op2(e23, e21) = all_10_1
% 245.18/49.15    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.15            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.15    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.15            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | SIMP: (4) implies:
% 245.18/49.15  |   (21)  e23 = e20
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (16), (21) imply:
% 245.18/49.15  |   (22)  all_24_17 = e20
% 245.18/49.15  | 
% 245.18/49.15  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.18/49.15  |            (14), (15), (17), (18), (19), (20), (22) are inconsistent by
% 245.18/49.15  |            sub-proof #888.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #834 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_13 = e24
% 245.18/49.15    (2)  all_24_13 = e20
% 245.18/49.15    (3)   ~ (e24 = e20)
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | COMBINE_EQS: (1), (2) imply:
% 245.18/49.15  |   (4)  e24 = e20
% 245.18/49.15  | 
% 245.18/49.15  | SIMP: (4) implies:
% 245.18/49.15  |   (5)  e24 = e20
% 245.18/49.15  | 
% 245.18/49.15  | REDUCE: (3), (5) imply:
% 245.18/49.15  |   (6)  $false
% 245.18/49.15  | 
% 245.18/49.15  | CLOSE: (6) is inconsistent.
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #835 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  all_24_7 = e20
% 245.18/49.15    (2)   ~ (e24 = e20)
% 245.18/49.15    (3)   ~ (e23 = e21)
% 245.18/49.15    (4)  op2(e23, e23) = e21
% 245.18/49.15    (5)  all_24_13 = e21
% 245.18/49.15    (6)   ~ (e23 = e22)
% 245.18/49.15    (7)  op2(e21, e23) = all_16_8
% 245.18/49.15    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.15           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.15    (9)   ~ (all_16_7 = e23)
% 245.18/49.15    (10)  op2(e24, e23) = e22
% 245.18/49.15    (11)   ~ (e24 = e21)
% 245.18/49.15    (12)  all_24_1 = e22
% 245.18/49.15    (13)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.15            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.15            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.15    (14)   ~ (all_16_8 = e23)
% 245.18/49.15    (15)  op2(e22, e23) = all_16_7
% 245.18/49.15    (16)   ~ (e24 = e22)
% 245.18/49.15    (17)   ~ (e24 = e23)
% 245.18/49.15    (18)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.15            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.18/49.15            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.18/49.15    (19)  all_24_3 = e21
% 245.18/49.15  
% 245.18/49.15  Begin of proof
% 245.18/49.15  | 
% 245.18/49.15  | BETA: splitting (13) gives:
% 245.18/49.15  | 
% 245.18/49.15  | Case 1:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (20)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 245.18/49.15  | |             e23) = e24)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (20) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (21)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (12), (16), (21) are inconsistent by sub-proof #870.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (22)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (11), (19), (22) are inconsistent by sub-proof #1323.
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | Case 2:
% 245.18/49.15  | | 
% 245.18/49.15  | |   (23)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 245.18/49.15  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.15  | | 
% 245.18/49.15  | | BETA: splitting (23) gives:
% 245.18/49.15  | | 
% 245.18/49.15  | | Case 1:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (24)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.18/49.15  | | | 
% 245.18/49.15  | | | ALPHA: (24) implies:
% 245.18/49.15  | | |   (25)  all_24_7 = e24
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (1), (2), (25) are inconsistent by sub-proof #869.
% 245.18/49.15  | | | 
% 245.18/49.15  | | Case 2:
% 245.18/49.15  | | | 
% 245.18/49.15  | | |   (26)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.18/49.15  | | |           op2(e20, e23) = e24)
% 245.18/49.15  | | | 
% 245.18/49.15  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (14), (15),
% 245.18/49.15  | | |            (17), (18), (26) are inconsistent by sub-proof #836.
% 245.18/49.15  | | | 
% 245.18/49.15  | | End of split
% 245.18/49.15  | | 
% 245.18/49.15  | End of split
% 245.18/49.15  | 
% 245.18/49.15  End of proof
% 245.18/49.15  
% 245.18/49.15  Sub-proof #836 shows that the following formulas are inconsistent:
% 245.18/49.15  ----------------------------------------------------------------
% 245.18/49.15    (1)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20,
% 245.18/49.15             e23) = e24)
% 245.18/49.15    (2)   ~ (e23 = e21)
% 245.18/49.15    (3)  op2(e23, e23) = e21
% 245.18/49.15    (4)  all_24_13 = e21
% 245.18/49.15    (5)   ~ (e23 = e22)
% 245.18/49.16    (6)  op2(e21, e23) = all_16_8
% 245.18/49.16    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (8)   ~ (all_16_7 = e23)
% 245.18/49.16    (9)  op2(e24, e23) = e22
% 245.18/49.16    (10)   ~ (e24 = e21)
% 245.18/49.16    (11)   ~ (all_16_8 = e23)
% 245.18/49.16    (12)  op2(e22, e23) = all_16_7
% 245.18/49.16    (13)   ~ (e24 = e23)
% 245.18/49.16    (14)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.18/49.16            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | BETA: splitting (1) gives:
% 245.18/49.16  | 
% 245.18/49.16  | Case 1:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (15)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.18/49.16  | | 
% 245.18/49.16  | | ALPHA: (15) implies:
% 245.18/49.16  | |   (16)  all_24_13 = e24
% 245.18/49.16  | | 
% 245.18/49.16  | | REF_CLOSE: (4), (10), (16) are inconsistent by sub-proof #838.
% 245.18/49.16  | | 
% 245.18/49.16  | Case 2:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (17)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.18/49.16  | | 
% 245.18/49.16  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14), (17)
% 245.18/49.16  | |            are inconsistent by sub-proof #837.
% 245.18/49.16  | | 
% 245.18/49.16  | End of split
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #837 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (e23 = e21)
% 245.18/49.16    (2)  op2(e23, e23) = e21
% 245.18/49.16    (3)   ~ (e23 = e22)
% 245.18/49.16    (4)  op2(e21, e23) = all_16_8
% 245.18/49.16    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (6)   ~ (all_16_7 = e23)
% 245.18/49.16    (7)  op2(e24, e23) = e22
% 245.18/49.16    (8)   ~ (all_16_8 = e23)
% 245.18/49.16    (9)  op2(e22, e23) = all_16_7
% 245.18/49.16    (10)   ~ (e24 = e23)
% 245.18/49.16    (11)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.18/49.16    (12)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 &
% 245.18/49.16            op2(e21, e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (11) implies:
% 245.18/49.16  |   (13)  all_24_21 = e24
% 245.18/49.16  | 
% 245.18/49.16  | BETA: splitting (12) gives:
% 245.18/49.16  | 
% 245.18/49.16  | Case 1:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (14)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23,
% 245.18/49.16  | |             e23) = e23)
% 245.18/49.16  | | 
% 245.18/49.16  | | REF_CLOSE: (1), (2), (3), (5), (7), (14) are inconsistent by sub-proof #955.
% 245.18/49.16  | | 
% 245.18/49.16  | Case 2:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (15)  (all_24_7 = e23 & op2(e22, e23) = e23) | (all_24_13 = e23 & op2(e21,
% 245.18/49.16  | |             e23) = e23) | (all_24_21 = e23 & op2(e20, e23) = e23)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (15) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (16)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (5), (6), (9), (16) are inconsistent by sub-proof #954.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (17)  (all_24_13 = e23 & op2(e21, e23) = e23) | (all_24_21 = e23 &
% 245.18/49.16  | | |           op2(e20, e23) = e23)
% 245.18/49.16  | | | 
% 245.18/49.16  | | | BETA: splitting (17) gives:
% 245.18/49.16  | | | 
% 245.18/49.16  | | | Case 1:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (18)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (4), (5), (8), (18) are inconsistent by sub-proof #953.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | Case 2:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (19)  all_24_21 = e23 & op2(e20, e23) = e23
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | ALPHA: (19) implies:
% 245.18/49.16  | | | |   (20)  all_24_21 = e23
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | COMBINE_EQS: (13), (20) imply:
% 245.18/49.16  | | | |   (21)  e24 = e23
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REDUCE: (10), (21) imply:
% 245.18/49.16  | | | |   (22)  $false
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | CLOSE: (22) is inconsistent.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | End of split
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | End of split
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #838 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_13 = e24
% 245.18/49.16    (2)  all_24_13 = e21
% 245.18/49.16    (3)   ~ (e24 = e21)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (1), (2) imply:
% 245.18/49.16  |   (4)  e24 = e21
% 245.18/49.16  | 
% 245.18/49.16  | SIMP: (4) implies:
% 245.18/49.16  |   (5)  e24 = e21
% 245.18/49.16  | 
% 245.18/49.16  | REDUCE: (3), (5) imply:
% 245.18/49.16  |   (6)  $false
% 245.18/49.16  | 
% 245.18/49.16  | CLOSE: (6) is inconsistent.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #839 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (all_16_15 = e24)
% 245.18/49.16    (2)   ~ (e24 = e20)
% 245.18/49.16    (3)   ~ (e23 = e21)
% 245.18/49.16    (4)  op2(e23, e21) = e24
% 245.18/49.16    (5)   ~ (all_16_1 = e21)
% 245.18/49.16    (6)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.16    (7)  op2(e23, e23) = e21
% 245.18/49.16    (8)  all_24_14 = e20
% 245.18/49.16    (9)  all_24_2 = e22
% 245.18/49.16    (10)   ~ (e23 = e22)
% 245.18/49.16    (11)  all_24_0 = e20
% 245.18/49.16    (12)   ~ (e22 = e20)
% 245.18/49.16    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (14)  all_24_21 = e23
% 245.18/49.16    (15)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.18/49.16            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.18/49.16            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.18/49.16    (16)   ~ (e23 = e20)
% 245.18/49.16    (17)  all_24_9 = e23
% 245.18/49.16    (18)  op2(e24, e23) = e22
% 245.18/49.16    (19)   ~ (e24 = e21)
% 245.18/49.16    (20)   ~ (e22 = e21)
% 245.18/49.16    (21)   ~ (all_16_1 = e20)
% 245.18/49.16    (22)  op2(e23, e22) = e20
% 245.18/49.16    (23)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 245.18/49.16            = e22) | (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 &
% 245.18/49.16            op2(e21, e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 245.18/49.16    (24)   ~ (all_16_1 = e23)
% 245.18/49.16    (25)  all_24_13 = e24
% 245.18/49.16    (26)  all_24_8 = e23
% 245.18/49.16    (27)  all_24_1 = e22
% 245.18/49.16    (28)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.18/49.16            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.18/49.16            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.18/49.16    (29)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 & op2(e23, e22)
% 245.18/49.16            = e24) | (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.18/49.16            op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) = e24)
% 245.18/49.16    (30)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.16            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.16    (31)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.16            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.16            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.16    (32)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.18/49.16    (33)   ~ (e21 = e20)
% 245.18/49.16    (34)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.18/49.16            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.18/49.16            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.18/49.16    (35)  op2(e24, e21) = all_16_15
% 245.18/49.16    (36)   ~ (e24 = e22)
% 245.18/49.16    (37)  all_24_17 = e23
% 245.18/49.16    (38)  op2(e23, e24) = all_16_1
% 245.18/49.16    (39)   ~ (e24 = e23)
% 245.18/49.16    (40)  op2(e23, e21) = all_10_1
% 245.18/49.16    (41)  all_20_5 = all_16_1
% 245.18/49.16    (42)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.16    (43)  all_24_5 = e20
% 245.18/49.16    (44)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.16    (45)  all_24_3 = e21
% 245.18/49.16    (46)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | BETA: splitting (23) gives:
% 245.18/49.16  | 
% 245.18/49.16  | Case 1:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (47)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23,
% 245.18/49.16  | |             e22) = e22)
% 245.18/49.16  | | 
% 245.18/49.16  | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (11), (12), (13), (15), (16),
% 245.18/49.16  | |            (17), (18), (19), (20), (22), (27), (28), (31), (33), (35), (36),
% 245.18/49.16  | |            (37), (39), (40), (42), (43), (46), (47) are inconsistent by
% 245.18/49.16  | |            sub-proof #857.
% 245.18/49.16  | | 
% 245.18/49.16  | Case 2:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (48)  (all_24_8 = e22 & op2(e22, e22) = e22) | (all_24_14 = e22 & op2(e21,
% 245.18/49.16  | |             e22) = e22) | (all_24_22 = e22 & op2(e20, e22) = e22)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (48) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (49)  all_24_8 = e22 & op2(e22, e22) = e22
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (3), (4), (5), (7), (10), (13), (16), (21), (22), (24), (26),
% 245.18/49.16  | | |            (32), (37), (38), (39), (40), (41), (46), (49) are inconsistent
% 245.18/49.16  | | |            by sub-proof #854.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (50)  (all_24_14 = e22 & op2(e21, e22) = e22) | (all_24_22 = e22 &
% 245.18/49.16  | | |           op2(e20, e22) = e22)
% 245.18/49.16  | | | 
% 245.18/49.16  | | | BETA: splitting (50) gives:
% 245.18/49.16  | | | 
% 245.18/49.16  | | | Case 1:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (51)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (16),
% 245.18/49.16  | | | |            (19), (20), (22), (31), (33), (36), (39), (40), (42), (46),
% 245.18/49.16  | | | |            (51) are inconsistent by sub-proof #853.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | Case 2:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (52)  all_24_22 = e22 & op2(e20, e22) = e22
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | ALPHA: (52) implies:
% 245.18/49.16  | | | |   (53)  all_24_22 = e22
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | BETA: splitting (29) gives:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | Case 1:
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | |   (54)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_5 = e24 &
% 245.18/49.16  | | | | |           op2(e23, e22) = e24)
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | | BETA: splitting (54) gives:
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | | Case 1:
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | |   (55)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | ALPHA: (55) implies:
% 245.18/49.16  | | | | | |   (56)  all_24_4 = e24
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (12), (13), (16),
% 245.18/49.16  | | | | | |            (19), (20), (22), (26), (31), (33), (34), (36), (37),
% 245.18/49.16  | | | | | |            (39), (40), (42), (43), (46), (53), (56) are inconsistent
% 245.18/49.16  | | | | | |            by sub-proof #848.
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | Case 2:
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | |   (57)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | REF_CLOSE: (2), (43), (57) are inconsistent by sub-proof #1301.
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | End of split
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | Case 2:
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | |   (58)  (all_24_8 = e24 & op2(e22, e22) = e24) | (all_24_14 = e24 &
% 245.18/49.16  | | | | |           op2(e21, e22) = e24) | (all_24_22 = e24 & op2(e20, e22) =
% 245.18/49.16  | | | | |           e24)
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | | BETA: splitting (58) gives:
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | | Case 1:
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | |   (59)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (12), (13), (14),
% 245.18/49.16  | | | | | |            (16), (18), (19), (20), (22), (25), (26), (27), (30),
% 245.18/49.16  | | | | | |            (33), (36), (37), (39), (40), (42), (44), (45), (46),
% 245.18/49.16  | | | | | |            (59) are inconsistent by sub-proof #841.
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | Case 2:
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | |   (60)  (all_24_14 = e24 & op2(e21, e22) = e24) | (all_24_22 = e24 &
% 245.18/49.16  | | | | | |           op2(e20, e22) = e24)
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | BETA: splitting (60) gives:
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | | Case 1:
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | |   (61)  all_24_14 = e24 & op2(e21, e22) = e24
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | ALPHA: (61) implies:
% 245.18/49.16  | | | | | | |   (62)  all_24_14 = e24
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | COMBINE_EQS: (8), (62) imply:
% 245.18/49.16  | | | | | | |   (63)  e24 = e20
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | SIMP: (63) implies:
% 245.18/49.16  | | | | | | |   (64)  e24 = e20
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | REDUCE: (2), (64) imply:
% 245.18/49.16  | | | | | | |   (65)  $false
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | CLOSE: (65) is inconsistent.
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | Case 2:
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | |   (66)  all_24_22 = e24 & op2(e20, e22) = e24
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | ALPHA: (66) implies:
% 245.18/49.16  | | | | | | |   (67)  all_24_22 = e24
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | | REF_CLOSE: (36), (53), (67) are inconsistent by sub-proof #840.
% 245.18/49.16  | | | | | | | 
% 245.18/49.16  | | | | | | End of split
% 245.18/49.16  | | | | | | 
% 245.18/49.16  | | | | | End of split
% 245.18/49.16  | | | | | 
% 245.18/49.16  | | | | End of split
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | End of split
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | End of split
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #840 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_22 = e24
% 245.18/49.16    (2)  all_24_22 = e22
% 245.18/49.16    (3)   ~ (e24 = e22)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (1), (2) imply:
% 245.18/49.16  |   (4)  e24 = e22
% 245.18/49.16  | 
% 245.18/49.16  | SIMP: (4) implies:
% 245.18/49.16  |   (5)  e24 = e22
% 245.18/49.16  | 
% 245.18/49.16  | REDUCE: (3), (5) imply:
% 245.18/49.16  |   (6)  $false
% 245.18/49.16  | 
% 245.18/49.16  | CLOSE: (6) is inconsistent.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #841 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (e24 = e20)
% 245.18/49.16    (2)   ~ (e23 = e21)
% 245.18/49.16    (3)  op2(e23, e21) = e24
% 245.18/49.16    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.16    (5)  op2(e23, e23) = e21
% 245.18/49.16    (6)  all_24_2 = e22
% 245.18/49.16    (7)   ~ (e23 = e22)
% 245.18/49.16    (8)   ~ (e22 = e20)
% 245.18/49.16    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (10)  all_24_21 = e23
% 245.18/49.16    (11)   ~ (e23 = e20)
% 245.18/49.16    (12)  op2(e24, e23) = e22
% 245.18/49.16    (13)   ~ (e24 = e21)
% 245.18/49.16    (14)   ~ (e22 = e21)
% 245.18/49.16    (15)  op2(e23, e22) = e20
% 245.18/49.16    (16)  all_24_13 = e24
% 245.18/49.16    (17)  all_24_8 = e23
% 245.18/49.16    (18)  all_24_1 = e22
% 245.18/49.16    (19)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.16            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.16    (20)   ~ (e21 = e20)
% 245.18/49.16    (21)   ~ (e24 = e22)
% 245.18/49.16    (22)  all_24_17 = e23
% 245.18/49.16    (23)  all_24_8 = e24 & op2(e22, e22) = e24
% 245.18/49.16    (24)   ~ (e24 = e23)
% 245.18/49.16    (25)  op2(e23, e21) = all_10_1
% 245.18/49.16    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.16    (27)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.16    (28)  all_24_3 = e21
% 245.18/49.16    (29)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (23) implies:
% 245.18/49.16  |   (30)  all_24_8 = e24
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (17), (30) imply:
% 245.18/49.16  |   (31)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | SIMP: (31) implies:
% 245.18/49.16  |   (32)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (16), (32) imply:
% 245.18/49.16  |   (33)  all_24_13 = e23
% 245.18/49.16  | 
% 245.18/49.16  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.18/49.16  |            (13), (14), (15), (18), (19), (20), (21), (22), (24), (25), (26),
% 245.18/49.16  |            (27), (28), (29), (33) are inconsistent by sub-proof #842.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #842 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (e24 = e20)
% 245.18/49.16    (2)   ~ (e23 = e21)
% 245.18/49.16    (3)  op2(e23, e21) = e24
% 245.18/49.16    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.16    (5)  op2(e23, e23) = e21
% 245.18/49.16    (6)  all_24_2 = e22
% 245.18/49.16    (7)   ~ (e23 = e22)
% 245.18/49.16    (8)   ~ (e22 = e20)
% 245.18/49.16    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (10)  all_24_21 = e23
% 245.18/49.16    (11)   ~ (e23 = e20)
% 245.18/49.16    (12)  op2(e24, e23) = e22
% 245.18/49.16    (13)   ~ (e24 = e21)
% 245.18/49.16    (14)   ~ (e22 = e21)
% 245.18/49.16    (15)  all_24_13 = e23
% 245.18/49.16    (16)  op2(e23, e22) = e20
% 245.18/49.16    (17)  all_24_1 = e22
% 245.18/49.16    (18)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 &
% 245.18/49.16            op2(e21, e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.16    (19)   ~ (e21 = e20)
% 245.18/49.16    (20)   ~ (e24 = e22)
% 245.18/49.16    (21)  all_24_17 = e23
% 245.18/49.16    (22)   ~ (e24 = e23)
% 245.18/49.16    (23)  op2(e23, e21) = all_10_1
% 245.18/49.16    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.16    (25)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.16    (26)  all_24_3 = e21
% 245.18/49.16    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | BETA: splitting (18) gives:
% 245.18/49.16  | 
% 245.18/49.16  | Case 1:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (28)  (all_24_1 = e24 & op2(e24, e23) = e24) | (all_24_3 = e24 & op2(e23,
% 245.18/49.16  | |             e23) = e24)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (28) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (29)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (17), (20), (29) are inconsistent by sub-proof #870.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (30)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (13), (26), (30) are inconsistent by sub-proof #1323.
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | Case 2:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (31)  (all_24_7 = e24 & op2(e22, e23) = e24) | (all_24_13 = e24 & op2(e21,
% 245.18/49.16  | |             e23) = e24) | (all_24_21 = e24 & op2(e20, e23) = e24)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (31) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (32)  all_24_7 = e24 & op2(e22, e23) = e24
% 245.18/49.16  | | | 
% 245.18/49.16  | | | ALPHA: (32) implies:
% 245.18/49.16  | | |   (33)  all_24_7 = e24
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.18/49.16  | | |            (13), (14), (15), (16), (19), (20), (21), (22), (23), (24),
% 245.18/49.16  | | |            (25), (27), (33) are inconsistent by sub-proof #845.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (34)  (all_24_13 = e24 & op2(e21, e23) = e24) | (all_24_21 = e24 &
% 245.18/49.16  | | |           op2(e20, e23) = e24)
% 245.18/49.16  | | | 
% 245.18/49.16  | | | BETA: splitting (34) gives:
% 245.18/49.16  | | | 
% 245.18/49.16  | | | Case 1:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (35)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (15), (22), (35) are inconsistent by sub-proof #844.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | Case 2:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (36)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (10), (22), (36) are inconsistent by sub-proof #843.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | End of split
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | End of split
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #843 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_21 = e24 & op2(e20, e23) = e24
% 245.18/49.16    (2)  all_24_21 = e23
% 245.18/49.16    (3)   ~ (e24 = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (1) implies:
% 245.18/49.16  |   (4)  all_24_21 = e24
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.16  |   (5)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | SIMP: (5) implies:
% 245.18/49.16  |   (6)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | REDUCE: (3), (6) imply:
% 245.18/49.16  |   (7)  $false
% 245.18/49.16  | 
% 245.18/49.16  | CLOSE: (7) is inconsistent.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #844 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_13 = e24 & op2(e21, e23) = e24
% 245.18/49.16    (2)  all_24_13 = e23
% 245.18/49.16    (3)   ~ (e24 = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (1) implies:
% 245.18/49.16  |   (4)  all_24_13 = e24
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.16  |   (5)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | SIMP: (5) implies:
% 245.18/49.16  |   (6)  e24 = e23
% 245.18/49.16  | 
% 245.18/49.16  | REDUCE: (3), (6) imply:
% 245.18/49.16  |   (7)  $false
% 245.18/49.16  | 
% 245.18/49.16  | CLOSE: (7) is inconsistent.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #845 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (e24 = e20)
% 245.18/49.16    (2)   ~ (e23 = e21)
% 245.18/49.16    (3)  op2(e23, e21) = e24
% 245.18/49.16    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.16    (5)  op2(e23, e23) = e21
% 245.18/49.16    (6)  all_24_2 = e22
% 245.18/49.16    (7)   ~ (e23 = e22)
% 245.18/49.16    (8)   ~ (e22 = e20)
% 245.18/49.16    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (10)  all_24_7 = e24
% 245.18/49.16    (11)  all_24_21 = e23
% 245.18/49.16    (12)   ~ (e23 = e20)
% 245.18/49.16    (13)  op2(e24, e23) = e22
% 245.18/49.16    (14)   ~ (e24 = e21)
% 245.18/49.16    (15)   ~ (e22 = e21)
% 245.18/49.16    (16)  all_24_13 = e23
% 245.18/49.16    (17)  op2(e23, e22) = e20
% 245.18/49.16    (18)   ~ (e21 = e20)
% 245.18/49.16    (19)   ~ (e24 = e22)
% 245.18/49.16    (20)  all_24_17 = e23
% 245.18/49.16    (21)   ~ (e24 = e23)
% 245.18/49.16    (22)  op2(e23, e21) = all_10_1
% 245.18/49.16    (23)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.16    (24)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23, e23)
% 245.18/49.16            = e20) | (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 &
% 245.18/49.16            op2(e21, e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.16    (25)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | BETA: splitting (24) gives:
% 245.18/49.16  | 
% 245.18/49.16  | Case 1:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (26)  (all_24_1 = e20 & op2(e24, e23) = e20) | (all_24_3 = e20 & op2(e23,
% 245.18/49.16  | |             e23) = e20)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (26) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (27)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (8), (9), (13), (27) are inconsistent by sub-proof #911.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (28)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (5), (9), (18), (28) are inconsistent by sub-proof #1306.
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | Case 2:
% 245.18/49.16  | | 
% 245.18/49.16  | |   (29)  (all_24_7 = e20 & op2(e22, e23) = e20) | (all_24_13 = e20 & op2(e21,
% 245.18/49.16  | |             e23) = e20) | (all_24_21 = e20 & op2(e20, e23) = e20)
% 245.18/49.16  | | 
% 245.18/49.16  | | BETA: splitting (29) gives:
% 245.18/49.16  | | 
% 245.18/49.16  | | Case 1:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (30)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.18/49.16  | | | 
% 245.18/49.16  | | | REF_CLOSE: (1), (10), (30) are inconsistent by sub-proof #847.
% 245.18/49.16  | | | 
% 245.18/49.16  | | Case 2:
% 245.18/49.16  | | | 
% 245.18/49.16  | | |   (31)  (all_24_13 = e20 & op2(e21, e23) = e20) | (all_24_21 = e20 &
% 245.18/49.16  | | |           op2(e20, e23) = e20)
% 245.18/49.16  | | | 
% 245.18/49.16  | | | BETA: splitting (31) gives:
% 245.18/49.16  | | | 
% 245.18/49.16  | | | Case 1:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (32)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | ALPHA: (32) implies:
% 245.18/49.16  | | | |   (33)  all_24_13 = e20
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | COMBINE_EQS: (16), (33) imply:
% 245.18/49.16  | | | |   (34)  e23 = e20
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | COMBINE_EQS: (20), (34) imply:
% 245.18/49.16  | | | |   (35)  all_24_17 = e20
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (12), (14), (15),
% 245.18/49.16  | | | |            (17), (18), (19), (21), (22), (23), (25), (35) are
% 245.18/49.16  | | | |            inconsistent by sub-proof #888.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | Case 2:
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | |   (36)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (14),
% 245.18/49.16  | | | |            (15), (17), (18), (19), (20), (21), (22), (23), (25), (36)
% 245.18/49.16  | | | |            are inconsistent by sub-proof #846.
% 245.18/49.16  | | | | 
% 245.18/49.16  | | | End of split
% 245.18/49.16  | | | 
% 245.18/49.16  | | End of split
% 245.18/49.16  | | 
% 245.18/49.16  | End of split
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #846 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_21 = e20 & op2(e20, e23) = e20
% 245.18/49.16    (2)   ~ (e24 = e20)
% 245.18/49.16    (3)   ~ (e23 = e21)
% 245.18/49.16    (4)  op2(e23, e21) = e24
% 245.18/49.16    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.18/49.16           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.18/49.16           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.18/49.16    (6)  op2(e23, e23) = e21
% 245.18/49.16    (7)  all_24_2 = e22
% 245.18/49.16    (8)   ~ (e23 = e22)
% 245.18/49.16    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (10)  all_24_21 = e23
% 245.18/49.16    (11)   ~ (e23 = e20)
% 245.18/49.16    (12)   ~ (e24 = e21)
% 245.18/49.16    (13)   ~ (e22 = e21)
% 245.18/49.16    (14)  op2(e23, e22) = e20
% 245.18/49.16    (15)   ~ (e21 = e20)
% 245.18/49.16    (16)   ~ (e24 = e22)
% 245.18/49.16    (17)  all_24_17 = e23
% 245.18/49.16    (18)   ~ (e24 = e23)
% 245.18/49.16    (19)  op2(e23, e21) = all_10_1
% 245.18/49.16    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.16            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.16            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.16    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.16            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.16            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (1) implies:
% 245.18/49.16  |   (22)  all_24_21 = e20
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (10), (22) imply:
% 245.18/49.16  |   (23)  e23 = e20
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (17), (23) imply:
% 245.18/49.16  |   (24)  all_24_17 = e20
% 245.18/49.16  | 
% 245.18/49.16  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 245.18/49.16  |            (15), (16), (18), (19), (20), (21), (24) are inconsistent by
% 245.18/49.16  |            sub-proof #888.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #847 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)  all_24_7 = e20 & op2(e22, e23) = e20
% 245.18/49.16    (2)  all_24_7 = e24
% 245.18/49.16    (3)   ~ (e24 = e20)
% 245.18/49.16  
% 245.18/49.16  Begin of proof
% 245.18/49.16  | 
% 245.18/49.16  | ALPHA: (1) implies:
% 245.18/49.16  |   (4)  all_24_7 = e20
% 245.18/49.16  | 
% 245.18/49.16  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.16  |   (5)  e24 = e20
% 245.18/49.16  | 
% 245.18/49.16  | REDUCE: (3), (5) imply:
% 245.18/49.16  |   (6)  $false
% 245.18/49.16  | 
% 245.18/49.16  | CLOSE: (6) is inconsistent.
% 245.18/49.16  | 
% 245.18/49.16  End of proof
% 245.18/49.16  
% 245.18/49.16  Sub-proof #848 shows that the following formulas are inconsistent:
% 245.18/49.16  ----------------------------------------------------------------
% 245.18/49.16    (1)   ~ (e24 = e20)
% 245.18/49.16    (2)   ~ (e23 = e21)
% 245.18/49.16    (3)  op2(e23, e21) = e24
% 245.18/49.16    (4)  op2(e23, e23) = e21
% 245.18/49.16    (5)  all_24_14 = e20
% 245.18/49.16    (6)  all_24_2 = e22
% 245.18/49.16    (7)   ~ (e23 = e22)
% 245.18/49.16    (8)   ~ (e22 = e20)
% 245.18/49.16    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.16           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.16    (10)   ~ (e23 = e20)
% 245.18/49.16    (11)   ~ (e24 = e21)
% 245.18/49.16    (12)   ~ (e22 = e21)
% 245.18/49.16    (13)  op2(e23, e22) = e20
% 245.18/49.16    (14)  all_24_8 = e23
% 245.18/49.16    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.16            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.16            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.16    (16)   ~ (e21 = e20)
% 245.18/49.17    (17)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23, e22)
% 245.18/49.17            = e21) | (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 &
% 245.18/49.17            op2(e21, e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.18/49.17    (18)   ~ (e24 = e22)
% 245.18/49.17    (19)  all_24_17 = e23
% 245.18/49.17    (20)   ~ (e24 = e23)
% 245.18/49.17    (21)  op2(e23, e21) = all_10_1
% 245.18/49.17    (22)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.17    (23)  all_24_5 = e20
% 245.18/49.17    (24)  all_24_4 = e24
% 245.18/49.17    (25)  all_24_22 = e22
% 245.18/49.17    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.17  
% 245.18/49.17  Begin of proof
% 245.18/49.17  | 
% 245.18/49.17  | BETA: splitting (17) gives:
% 245.18/49.17  | 
% 245.18/49.17  | Case 1:
% 245.18/49.17  | | 
% 245.18/49.17  | |   (27)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_5 = e21 & op2(e23,
% 245.18/49.17  | |             e22) = e21)
% 245.18/49.17  | | 
% 245.18/49.17  | | BETA: splitting (27) gives:
% 245.18/49.17  | | 
% 245.18/49.17  | | Case 1:
% 245.18/49.17  | | | 
% 245.18/49.17  | | |   (28)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.18/49.17  | | | 
% 245.18/49.17  | | | ALPHA: (28) implies:
% 245.18/49.17  | | |   (29)  all_24_4 = e21
% 245.18/49.17  | | | 
% 245.18/49.17  | | | REF_CLOSE: (11), (24), (29) are inconsistent by sub-proof #852.
% 245.18/49.17  | | | 
% 245.18/49.17  | | Case 2:
% 245.18/49.17  | | | 
% 245.18/49.17  | | |   (30)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.18/49.17  | | | 
% 245.18/49.17  | | | REF_CLOSE: (9), (13), (16), (30) are inconsistent by sub-proof #1318.
% 245.18/49.17  | | | 
% 245.18/49.17  | | End of split
% 245.18/49.17  | | 
% 245.18/49.17  | Case 2:
% 245.18/49.17  | | 
% 245.18/49.17  | |   (31)  (all_24_8 = e21 & op2(e22, e22) = e21) | (all_24_14 = e21 & op2(e21,
% 245.18/49.17  | |             e22) = e21) | (all_24_22 = e21 & op2(e20, e22) = e21)
% 245.18/49.17  | | 
% 245.18/49.17  | | BETA: splitting (31) gives:
% 245.18/49.17  | | 
% 245.18/49.17  | | Case 1:
% 245.18/49.17  | | | 
% 245.18/49.17  | | |   (32)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.18/49.17  | | | 
% 245.18/49.17  | | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (11), (13), (14), (18),
% 245.18/49.17  | | |            (19), (20), (21), (22), (26), (32) are inconsistent by
% 245.18/49.17  | | |            sub-proof #851.
% 245.18/49.17  | | | 
% 245.18/49.17  | | Case 2:
% 245.18/49.17  | | | 
% 245.18/49.17  | | |   (33)  (all_24_14 = e21 & op2(e21, e22) = e21) | (all_24_22 = e21 &
% 245.18/49.17  | | |           op2(e20, e22) = e21)
% 245.18/49.17  | | | 
% 245.18/49.17  | | | BETA: splitting (33) gives:
% 245.18/49.17  | | | 
% 245.18/49.17  | | | Case 1:
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | |   (34)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | | REF_CLOSE: (5), (16), (34) are inconsistent by sub-proof #850.
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | Case 2:
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | |   (35)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 245.18/49.17  | | | |            (13), (15), (18), (20), (21), (22), (23), (25), (26), (35)
% 245.18/49.17  | | | |            are inconsistent by sub-proof #849.
% 245.18/49.17  | | | | 
% 245.18/49.17  | | | End of split
% 245.18/49.17  | | | 
% 245.18/49.17  | | End of split
% 245.18/49.17  | | 
% 245.18/49.17  | End of split
% 245.18/49.17  | 
% 245.18/49.17  End of proof
% 245.18/49.17  
% 245.18/49.17  Sub-proof #849 shows that the following formulas are inconsistent:
% 245.18/49.17  ----------------------------------------------------------------
% 245.18/49.17    (1)   ~ (e24 = e20)
% 245.18/49.17    (2)   ~ (e23 = e21)
% 245.18/49.17    (3)  op2(e23, e21) = e24
% 245.18/49.17    (4)  op2(e23, e23) = e21
% 245.18/49.17    (5)  all_24_2 = e22
% 245.18/49.17    (6)   ~ (e23 = e22)
% 245.18/49.17    (7)   ~ (e22 = e20)
% 245.18/49.17    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.17    (9)   ~ (e23 = e20)
% 245.18/49.17    (10)   ~ (e24 = e21)
% 245.18/49.17    (11)   ~ (e22 = e21)
% 245.18/49.17    (12)  op2(e23, e22) = e20
% 245.18/49.17    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.18/49.17            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.18/49.17            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.18/49.17    (14)  all_24_22 = e21 & op2(e20, e22) = e21
% 245.18/49.17    (15)   ~ (e24 = e22)
% 245.18/49.17    (16)   ~ (e24 = e23)
% 245.18/49.17    (17)  op2(e23, e21) = all_10_1
% 245.18/49.17    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.17    (19)  all_24_5 = e20
% 245.18/49.17    (20)  all_24_22 = e22
% 245.18/49.17    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.17  
% 245.18/49.17  Begin of proof
% 245.18/49.17  | 
% 245.18/49.17  | ALPHA: (14) implies:
% 245.18/49.17  |   (22)  all_24_22 = e21
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (20), (22) imply:
% 245.18/49.17  |   (23)  e22 = e21
% 245.18/49.17  | 
% 245.18/49.17  | SIMP: (23) implies:
% 245.18/49.17  |   (24)  e22 = e21
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (5), (24) imply:
% 245.18/49.17  |   (25)  all_24_2 = e21
% 245.18/49.17  | 
% 245.18/49.17  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.18/49.17  |            (15), (16), (17), (18), (19), (21), (25) are inconsistent by
% 245.18/49.17  |            sub-proof #1298.
% 245.18/49.17  | 
% 245.18/49.17  End of proof
% 245.18/49.17  
% 245.18/49.17  Sub-proof #850 shows that the following formulas are inconsistent:
% 245.18/49.17  ----------------------------------------------------------------
% 245.18/49.17    (1)  all_24_14 = e21 & op2(e21, e22) = e21
% 245.18/49.17    (2)  all_24_14 = e20
% 245.18/49.17    (3)   ~ (e21 = e20)
% 245.18/49.17  
% 245.18/49.17  Begin of proof
% 245.18/49.17  | 
% 245.18/49.17  | ALPHA: (1) implies:
% 245.18/49.17  |   (4)  all_24_14 = e21
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (2), (4) imply:
% 245.18/49.17  |   (5)  e21 = e20
% 245.18/49.17  | 
% 245.18/49.17  | REDUCE: (3), (5) imply:
% 245.18/49.17  |   (6)  $false
% 245.18/49.17  | 
% 245.18/49.17  | CLOSE: (6) is inconsistent.
% 245.18/49.17  | 
% 245.18/49.17  End of proof
% 245.18/49.17  
% 245.18/49.17  Sub-proof #851 shows that the following formulas are inconsistent:
% 245.18/49.17  ----------------------------------------------------------------
% 245.18/49.17    (1)   ~ (e23 = e21)
% 245.18/49.17    (2)  all_24_8 = e21 & op2(e22, e22) = e21
% 245.18/49.17    (3)  op2(e23, e21) = e24
% 245.18/49.17    (4)  op2(e23, e23) = e21
% 245.18/49.17    (5)  all_24_2 = e22
% 245.18/49.17    (6)   ~ (e23 = e22)
% 245.18/49.17    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.18/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.18/49.17    (8)   ~ (e23 = e20)
% 245.18/49.17    (9)   ~ (e24 = e21)
% 245.18/49.17    (10)  op2(e23, e22) = e20
% 245.18/49.17    (11)  all_24_8 = e23
% 245.18/49.17    (12)   ~ (e24 = e22)
% 245.18/49.17    (13)  all_24_17 = e23
% 245.18/49.17    (14)   ~ (e24 = e23)
% 245.18/49.17    (15)  op2(e23, e21) = all_10_1
% 245.18/49.17    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.18/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.18/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.18/49.17    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.18/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.18/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.18/49.17  
% 245.18/49.17  Begin of proof
% 245.18/49.17  | 
% 245.18/49.17  | ALPHA: (2) implies:
% 245.18/49.17  |   (18)  all_24_8 = e21
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (11), (18) imply:
% 245.18/49.17  |   (19)  e23 = e21
% 245.18/49.17  | 
% 245.18/49.17  | SIMP: (19) implies:
% 245.18/49.17  |   (20)  e23 = e21
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (13), (20) imply:
% 245.18/49.17  |   (21)  all_24_17 = e21
% 245.18/49.17  | 
% 245.18/49.17  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14), (15),
% 245.18/49.17  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 245.18/49.17  | 
% 245.18/49.17  End of proof
% 245.18/49.17  
% 245.18/49.17  Sub-proof #852 shows that the following formulas are inconsistent:
% 245.18/49.17  ----------------------------------------------------------------
% 245.18/49.17    (1)  all_24_4 = e24
% 245.18/49.17    (2)  all_24_4 = e21
% 245.18/49.17    (3)   ~ (e24 = e21)
% 245.18/49.17  
% 245.18/49.17  Begin of proof
% 245.18/49.17  | 
% 245.18/49.17  | COMBINE_EQS: (1), (2) imply:
% 245.18/49.17  |   (4)  e24 = e21
% 245.18/49.17  | 
% 245.18/49.17  | SIMP: (4) implies:
% 245.18/49.17  |   (5)  e24 = e21
% 245.18/49.17  | 
% 245.18/49.17  | REDUCE: (3), (5) imply:
% 245.18/49.17  |   (6)  $false
% 245.18/49.17  | 
% 245.18/49.17  | CLOSE: (6) is inconsistent.
% 245.18/49.17  | 
% 245.18/49.17  End of proof
% 245.18/49.17  
% 245.18/49.17  Sub-proof #853 shows that the following formulas are inconsistent:
% 245.18/49.17  ----------------------------------------------------------------
% 245.18/49.17    (1)   ~ (e24 = e20)
% 245.18/49.17    (2)   ~ (e23 = e21)
% 245.23/49.17    (3)  op2(e23, e21) = e24
% 245.23/49.17    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.17           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.17           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.17    (5)  op2(e23, e23) = e21
% 245.23/49.17    (6)  all_24_14 = e20
% 245.23/49.17    (7)  all_24_2 = e22
% 245.23/49.17    (8)   ~ (e23 = e22)
% 245.23/49.17    (9)   ~ (e22 = e20)
% 245.23/49.17    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (11)   ~ (e23 = e20)
% 245.23/49.17    (12)   ~ (e24 = e21)
% 245.23/49.17    (13)   ~ (e22 = e21)
% 245.23/49.17    (14)  op2(e23, e22) = e20
% 245.23/49.17    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.17            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.17            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.17    (16)   ~ (e21 = e20)
% 245.23/49.17    (17)   ~ (e24 = e22)
% 245.23/49.17    (18)   ~ (e24 = e23)
% 245.23/49.17    (19)  op2(e23, e21) = all_10_1
% 245.23/49.17    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.17    (21)  all_24_14 = e22 & op2(e21, e22) = e22
% 245.23/49.17    (22)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | ALPHA: (21) implies:
% 245.23/49.17  |   (23)  all_24_14 = e22
% 245.23/49.17  | 
% 245.23/49.17  | COMBINE_EQS: (6), (23) imply:
% 245.23/49.17  |   (24)  e22 = e20
% 245.23/49.17  | 
% 245.23/49.17  | SIMP: (24) implies:
% 245.23/49.17  |   (25)  e22 = e20
% 245.23/49.17  | 
% 245.23/49.17  | COMBINE_EQS: (7), (25) imply:
% 245.23/49.17  |   (26)  all_24_2 = e20
% 245.23/49.17  | 
% 245.23/49.17  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14),
% 245.23/49.17  |            (15), (16), (17), (18), (19), (20), (22), (26) are inconsistent by
% 245.23/49.17  |            sub-proof #1307.
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #854 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)  all_24_8 = e22 & op2(e22, e22) = e22
% 245.23/49.17    (2)   ~ (e23 = e21)
% 245.23/49.17    (3)  op2(e23, e21) = e24
% 245.23/49.17    (4)   ~ (all_16_1 = e21)
% 245.23/49.17    (5)  op2(e23, e23) = e21
% 245.23/49.17    (6)   ~ (e23 = e22)
% 245.23/49.17    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (8)   ~ (e23 = e20)
% 245.23/49.17    (9)   ~ (all_16_1 = e20)
% 245.23/49.17    (10)  op2(e23, e22) = e20
% 245.23/49.17    (11)   ~ (all_16_1 = e23)
% 245.23/49.17    (12)  all_24_8 = e23
% 245.23/49.17    (13)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.23/49.17    (14)  all_24_17 = e23
% 245.23/49.17    (15)  op2(e23, e24) = all_16_1
% 245.23/49.17    (16)   ~ (e24 = e23)
% 245.23/49.17    (17)  op2(e23, e21) = all_10_1
% 245.23/49.17    (18)  all_20_5 = all_16_1
% 245.23/49.17    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | ALPHA: (1) implies:
% 245.23/49.17  |   (20)  all_24_8 = e22
% 245.23/49.17  | 
% 245.23/49.17  | COMBINE_EQS: (12), (20) imply:
% 245.23/49.17  |   (21)  e23 = e22
% 245.23/49.17  | 
% 245.23/49.17  | COMBINE_EQS: (14), (21) imply:
% 245.23/49.17  |   (22)  all_24_17 = e22
% 245.23/49.17  | 
% 245.23/49.17  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 245.23/49.17  |            (16), (17), (18), (19), (22) are inconsistent by sub-proof #855.
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #855 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)   ~ (e23 = e21)
% 245.23/49.17    (2)  op2(e23, e21) = e24
% 245.23/49.17    (3)   ~ (all_16_1 = e21)
% 245.23/49.17    (4)  op2(e23, e23) = e21
% 245.23/49.17    (5)   ~ (e23 = e22)
% 245.23/49.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (7)   ~ (e23 = e20)
% 245.23/49.17    (8)   ~ (all_16_1 = e20)
% 245.23/49.17    (9)  op2(e23, e22) = e20
% 245.23/49.17    (10)   ~ (all_16_1 = e23)
% 245.23/49.17    (11)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.23/49.17    (12)  op2(e23, e24) = all_16_1
% 245.23/49.17    (13)   ~ (e24 = e23)
% 245.23/49.17    (14)  op2(e23, e21) = all_10_1
% 245.23/49.17    (15)  all_20_5 = all_16_1
% 245.23/49.17    (16)  all_24_17 = e22
% 245.23/49.17    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (17) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.23/49.17  | |             e23) = e23)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (18) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (19)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | ALPHA: (19) implies:
% 245.23/49.17  | | |   (20)  op2(e23, e24) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (3), (6), (8), (10), (11), (12), (15), (20) are inconsistent by
% 245.23/49.17  | | |            sub-proof #958.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (21)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | ALPHA: (21) implies:
% 245.23/49.17  | | |   (22)  op2(e23, e23) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (1), (4), (6), (22) are inconsistent by sub-proof #1305.
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (23)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.23/49.17  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (2), (5), (6), (7), (9), (13), (14), (16), (23) are inconsistent
% 245.23/49.17  | |            by sub-proof #856.
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #856 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)  op2(e23, e21) = e24
% 245.23/49.17    (2)   ~ (e23 = e22)
% 245.23/49.17    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (4)   ~ (e23 = e20)
% 245.23/49.17    (5)  op2(e23, e22) = e20
% 245.23/49.17    (6)   ~ (e24 = e23)
% 245.23/49.17    (7)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23, e21)
% 245.23/49.17           = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17    (8)  op2(e23, e21) = all_10_1
% 245.23/49.17    (9)  all_24_17 = e22
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (7) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (10)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.17  | | 
% 245.23/49.17  | | ALPHA: (10) implies:
% 245.23/49.17  | |   (11)  op2(e23, e22) = e23
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (3), (4), (5), (11) are inconsistent by sub-proof #1326.
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (12)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.23/49.17  | |           op2(e23, e20) = e23)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (12) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (13)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | ALPHA: (13) implies:
% 245.23/49.17  | | |   (14)  op2(e23, e21) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (1), (3), (6), (8), (14) are inconsistent by sub-proof #957.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (15)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (2), (9), (15) are inconsistent by sub-proof #1300.
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #857 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)   ~ (all_16_15 = e24)
% 245.23/49.17    (2)   ~ (e24 = e20)
% 245.23/49.17    (3)   ~ (e23 = e21)
% 245.23/49.17    (4)  op2(e23, e21) = e24
% 245.23/49.17    (5)  op2(e23, e23) = e21
% 245.23/49.17    (6)  all_24_2 = e22
% 245.23/49.17    (7)   ~ (e23 = e22)
% 245.23/49.17    (8)  all_24_0 = e20
% 245.23/49.17    (9)   ~ (e22 = e20)
% 245.23/49.17    (10)  (all_24_4 = e22 & op2(e24, e22) = e22) | (all_24_5 = e22 & op2(e23, e22)
% 245.23/49.17            = e22)
% 245.23/49.17    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (12)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.23/49.17            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.23/49.17            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.23/49.17    (13)   ~ (e23 = e20)
% 245.23/49.17    (14)  all_24_9 = e23
% 245.23/49.17    (15)  op2(e24, e23) = e22
% 245.23/49.17    (16)   ~ (e24 = e21)
% 245.23/49.17    (17)   ~ (e22 = e21)
% 245.23/49.17    (18)  op2(e23, e22) = e20
% 245.23/49.17    (19)  all_24_1 = e22
% 245.23/49.17    (20)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.23/49.17            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.23/49.17            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.23/49.17    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.17            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.17            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.17    (22)   ~ (e21 = e20)
% 245.23/49.17    (23)  op2(e24, e21) = all_16_15
% 245.23/49.17    (24)   ~ (e24 = e22)
% 245.23/49.17    (25)  all_24_17 = e23
% 245.23/49.17    (26)   ~ (e24 = e23)
% 245.23/49.17    (27)  op2(e23, e21) = all_10_1
% 245.23/49.17    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.17    (29)  all_24_5 = e20
% 245.23/49.17    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (10) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (31)  all_24_4 = e22 & op2(e24, e22) = e22
% 245.23/49.17  | | 
% 245.23/49.17  | | ALPHA: (31) implies:
% 245.23/49.17  | |   (32)  all_24_4 = e22
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.23/49.17  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.23/49.17  | |            (25), (26), (27), (28), (29), (30), (32) are inconsistent by
% 245.23/49.17  | |            sub-proof #858.
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (33)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (9), (11), (18), (33) are inconsistent by sub-proof #1330.
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #858 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)   ~ (all_16_15 = e24)
% 245.23/49.17    (2)   ~ (e24 = e20)
% 245.23/49.17    (3)   ~ (e23 = e21)
% 245.23/49.17    (4)  op2(e23, e21) = e24
% 245.23/49.17    (5)  op2(e23, e23) = e21
% 245.23/49.17    (6)  all_24_2 = e22
% 245.23/49.17    (7)   ~ (e23 = e22)
% 245.23/49.17    (8)  all_24_0 = e20
% 245.23/49.17    (9)   ~ (e22 = e20)
% 245.23/49.17    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (11)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24, e23)
% 245.23/49.17            = e21) | (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 &
% 245.23/49.17            op2(e24, e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.23/49.17    (12)   ~ (e23 = e20)
% 245.23/49.17    (13)  all_24_9 = e23
% 245.23/49.17    (14)  op2(e24, e23) = e22
% 245.23/49.17    (15)   ~ (e24 = e21)
% 245.23/49.17    (16)   ~ (e22 = e21)
% 245.23/49.17    (17)  op2(e23, e22) = e20
% 245.23/49.17    (18)  all_24_1 = e22
% 245.23/49.17    (19)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.23/49.17            = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.23/49.17            op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.23/49.17    (20)  all_24_4 = e22
% 245.23/49.17    (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.17            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.17            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.17    (22)   ~ (e21 = e20)
% 245.23/49.17    (23)  op2(e24, e21) = all_16_15
% 245.23/49.17    (24)   ~ (e24 = e22)
% 245.23/49.17    (25)  all_24_17 = e23
% 245.23/49.17    (26)   ~ (e24 = e23)
% 245.23/49.17    (27)  op2(e23, e21) = all_10_1
% 245.23/49.17    (28)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.17            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.17            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.17    (29)  all_24_5 = e20
% 245.23/49.17    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.17            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.17            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (11) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (31)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_1 = e21 & op2(e24,
% 245.23/49.17  | |             e23) = e21)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (31) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (32)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (8), (22), (32) are inconsistent by sub-proof #881.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (33)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (10), (14), (16), (33) are inconsistent by sub-proof #866.
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (34)  (all_24_4 = e21 & op2(e24, e22) = e21) | (all_24_9 = e21 & op2(e24,
% 245.23/49.17  | |             e21) = e21) | (all_24_16 = e21 & op2(e24, e20) = e21)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (34) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (35)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (12), (15), (16),
% 245.23/49.17  | | |            (17), (20), (21), (24), (26), (27), (28), (29), (30), (35) are
% 245.23/49.17  | | |            inconsistent by sub-proof #865.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (36)  (all_24_9 = e21 & op2(e24, e21) = e21) | (all_24_16 = e21 &
% 245.23/49.17  | | |           op2(e24, e20) = e21)
% 245.23/49.17  | | | 
% 245.23/49.17  | | | BETA: splitting (36) gives:
% 245.23/49.17  | | | 
% 245.23/49.17  | | | Case 1:
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | |   (37)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (12), (13), (15), (17), (24),
% 245.23/49.17  | | | |            (25), (26), (27), (28), (30), (37) are inconsistent by
% 245.23/49.17  | | | |            sub-proof #864.
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | Case 2:
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | |   (38)  all_24_16 = e21 & op2(e24, e20) = e21
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | | ALPHA: (38) implies:
% 245.23/49.17  | | | |   (39)  all_24_16 = e21
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | | REF_CLOSE: (1), (2), (8), (10), (15), (18), (19), (20), (23), (24), (39)
% 245.23/49.17  | | | |            are inconsistent by sub-proof #859.
% 245.23/49.17  | | | | 
% 245.23/49.17  | | | End of split
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #859 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)   ~ (all_16_15 = e24)
% 245.23/49.17    (2)   ~ (e24 = e20)
% 245.23/49.17    (3)  all_24_0 = e20
% 245.23/49.17    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (5)   ~ (e24 = e21)
% 245.23/49.17    (6)  all_24_1 = e22
% 245.23/49.17    (7)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24, e23)
% 245.23/49.17           = e24) | (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 &
% 245.23/49.17           op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.23/49.17    (8)  all_24_4 = e22
% 245.23/49.17    (9)  op2(e24, e21) = all_16_15
% 245.23/49.17    (10)   ~ (e24 = e22)
% 245.23/49.17    (11)  all_24_16 = e21
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (7) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (12)  (all_24_0 = e24 & op2(e24, e24) = e24) | (all_24_1 = e24 & op2(e24,
% 245.23/49.17  | |             e23) = e24)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (12) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (13)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (2), (3), (13) are inconsistent by sub-proof #863.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (14)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (6), (10), (14) are inconsistent by sub-proof #870.
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (15)  (all_24_4 = e24 & op2(e24, e22) = e24) | (all_24_9 = e24 & op2(e24,
% 245.23/49.17  | |             e21) = e24) | (all_24_16 = e24 & op2(e24, e20) = e24)
% 245.23/49.17  | | 
% 245.23/49.17  | | BETA: splitting (15) gives:
% 245.23/49.17  | | 
% 245.23/49.17  | | Case 1:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (16)  all_24_4 = e24 & op2(e24, e22) = e24
% 245.23/49.17  | | | 
% 245.23/49.17  | | | ALPHA: (16) implies:
% 245.23/49.17  | | |   (17)  all_24_4 = e24
% 245.23/49.17  | | | 
% 245.23/49.17  | | | COMBINE_EQS: (8), (17) imply:
% 245.23/49.17  | | |   (18)  e24 = e22
% 245.23/49.17  | | | 
% 245.23/49.17  | | | SIMP: (18) implies:
% 245.23/49.17  | | |   (19)  e24 = e22
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REDUCE: (10), (19) imply:
% 245.23/49.17  | | |   (20)  $false
% 245.23/49.17  | | | 
% 245.23/49.17  | | | CLOSE: (20) is inconsistent.
% 245.23/49.17  | | | 
% 245.23/49.17  | | Case 2:
% 245.23/49.17  | | | 
% 245.23/49.17  | | |   (21)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 &
% 245.23/49.17  | | |           op2(e24, e20) = e24)
% 245.23/49.17  | | | 
% 245.23/49.17  | | | REF_CLOSE: (1), (4), (5), (9), (11), (21) are inconsistent by sub-proof
% 245.23/49.17  | | |            #860.
% 245.23/49.17  | | | 
% 245.23/49.17  | | End of split
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #860 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)   ~ (all_16_15 = e24)
% 245.23/49.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (3)   ~ (e24 = e21)
% 245.23/49.17    (4)  (all_24_9 = e24 & op2(e24, e21) = e24) | (all_24_16 = e24 & op2(e24, e20)
% 245.23/49.17           = e24)
% 245.23/49.17    (5)  op2(e24, e21) = all_16_15
% 245.23/49.17    (6)  all_24_16 = e21
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | BETA: splitting (4) gives:
% 245.23/49.17  | 
% 245.23/49.17  | Case 1:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (7)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #862.
% 245.23/49.17  | | 
% 245.23/49.17  | Case 2:
% 245.23/49.17  | | 
% 245.23/49.17  | |   (8)  all_24_16 = e24 & op2(e24, e20) = e24
% 245.23/49.17  | | 
% 245.23/49.17  | | ALPHA: (8) implies:
% 245.23/49.17  | |   (9)  all_24_16 = e24
% 245.23/49.17  | | 
% 245.23/49.17  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #861.
% 245.23/49.17  | | 
% 245.23/49.17  | End of split
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #861 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)  all_24_16 = e24
% 245.23/49.17    (2)  all_24_16 = e21
% 245.23/49.17    (3)   ~ (e24 = e21)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | COMBINE_EQS: (1), (2) imply:
% 245.23/49.17  |   (4)  e24 = e21
% 245.23/49.17  | 
% 245.23/49.17  | SIMP: (4) implies:
% 245.23/49.17  |   (5)  e24 = e21
% 245.23/49.17  | 
% 245.23/49.17  | REDUCE: (3), (5) imply:
% 245.23/49.17  |   (6)  $false
% 245.23/49.17  | 
% 245.23/49.17  | CLOSE: (6) is inconsistent.
% 245.23/49.17  | 
% 245.23/49.17  End of proof
% 245.23/49.17  
% 245.23/49.17  Sub-proof #862 shows that the following formulas are inconsistent:
% 245.23/49.17  ----------------------------------------------------------------
% 245.23/49.17    (1)  all_24_9 = e24 & op2(e24, e21) = e24
% 245.23/49.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.17           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.17    (3)  op2(e24, e21) = all_16_15
% 245.23/49.17    (4)   ~ (all_16_15 = e24)
% 245.23/49.17  
% 245.23/49.17  Begin of proof
% 245.23/49.17  | 
% 245.23/49.17  | ALPHA: (1) implies:
% 245.23/49.17  |   (5)  op2(e24, e21) = e24
% 245.23/49.17  | 
% 245.23/49.18  | GROUND_INST: instantiating (2) with all_16_15, e24, e21, e24, simplifying with
% 245.23/49.18  |              (3), (5) gives:
% 245.23/49.18  |   (6)  all_16_15 = e24
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (4), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #863 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_0 = e24 & op2(e24, e24) = e24
% 245.23/49.18    (2)  all_24_0 = e20
% 245.23/49.18    (3)   ~ (e24 = e20)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_0 = e24
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e24 = e20
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (5) implies:
% 245.23/49.18  |   (6)  e24 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #864 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e23 = e21)
% 245.23/49.18    (2)  op2(e23, e21) = e24
% 245.23/49.18    (3)  op2(e23, e23) = e21
% 245.23/49.18    (4)  all_24_2 = e22
% 245.23/49.18    (5)   ~ (e23 = e22)
% 245.23/49.18    (6)  all_24_9 = e21 & op2(e24, e21) = e21
% 245.23/49.18    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (8)   ~ (e23 = e20)
% 245.23/49.18    (9)  all_24_9 = e23
% 245.23/49.18    (10)   ~ (e24 = e21)
% 245.23/49.18    (11)  op2(e23, e22) = e20
% 245.23/49.18    (12)   ~ (e24 = e22)
% 245.23/49.18    (13)  all_24_17 = e23
% 245.23/49.18    (14)   ~ (e24 = e23)
% 245.23/49.18    (15)  op2(e23, e21) = all_10_1
% 245.23/49.18    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (6) implies:
% 245.23/49.18  |   (18)  all_24_9 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (9), (18) imply:
% 245.23/49.18  |   (19)  e23 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (13), (19) imply:
% 245.23/49.18  |   (20)  all_24_17 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (14), (15),
% 245.23/49.18  |            (16), (17), (20) are inconsistent by sub-proof #874.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #865 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_4 = e21 & op2(e24, e22) = e21
% 245.23/49.18    (2)   ~ (e24 = e20)
% 245.23/49.18    (3)   ~ (e23 = e21)
% 245.23/49.18    (4)  op2(e23, e21) = e24
% 245.23/49.18    (5)  op2(e23, e23) = e21
% 245.23/49.18    (6)  all_24_2 = e22
% 245.23/49.18    (7)   ~ (e23 = e22)
% 245.23/49.18    (8)   ~ (e22 = e20)
% 245.23/49.18    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (10)   ~ (e23 = e20)
% 245.23/49.18    (11)   ~ (e24 = e21)
% 245.23/49.18    (12)   ~ (e22 = e21)
% 245.23/49.18    (13)  op2(e23, e22) = e20
% 245.23/49.18    (14)  all_24_4 = e22
% 245.23/49.18    (15)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.18            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.18            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.18    (16)   ~ (e24 = e22)
% 245.23/49.18    (17)   ~ (e24 = e23)
% 245.23/49.18    (18)  op2(e23, e21) = all_10_1
% 245.23/49.18    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (20)  all_24_5 = e20
% 245.23/49.18    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (22)  all_24_4 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (14), (22) imply:
% 245.23/49.18  |   (23)  e22 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (6), (23) imply:
% 245.23/49.18  |   (24)  all_24_2 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (15),
% 245.23/49.18  |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.23/49.18  |            sub-proof #1298.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #866 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_1 = e21 & op2(e24, e23) = e21
% 245.23/49.18    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (3)  op2(e24, e23) = e22
% 245.23/49.18    (4)   ~ (e22 = e21)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (5)  op2(e24, e23) = e21
% 245.23/49.18  | 
% 245.23/49.18  | GROUND_INST: instantiating (2) with e22, e21, e23, e24, simplifying with (3),
% 245.23/49.18  |              (5) gives:
% 245.23/49.18  |   (6)  e22 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (4), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #867 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_13 = e20 & op2(e21, e23) = e20
% 245.23/49.18    (2)  all_24_13 = e24
% 245.23/49.18    (3)   ~ (e24 = e20)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_13 = e20
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e24 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (5) imply:
% 245.23/49.18  |   (6)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (6) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #868 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e24 = e20)
% 245.23/49.18    (2)   ~ (e23 = e21)
% 245.23/49.18    (3)  op2(e23, e21) = e24
% 245.23/49.18    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.18           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.18           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.18    (5)  op2(e23, e23) = e21
% 245.23/49.18    (6)  all_24_2 = e22
% 245.23/49.18    (7)   ~ (e23 = e22)
% 245.23/49.18    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (9)   ~ (e23 = e20)
% 245.23/49.18    (10)   ~ (e24 = e21)
% 245.23/49.18    (11)   ~ (e22 = e21)
% 245.23/49.18    (12)  op2(e23, e22) = e20
% 245.23/49.18    (13)  all_24_12 = e23
% 245.23/49.18    (14)   ~ (e21 = e20)
% 245.23/49.18    (15)   ~ (e24 = e22)
% 245.23/49.18    (16)  all_24_17 = e23
% 245.23/49.18    (17)   ~ (e24 = e23)
% 245.23/49.18    (18)  op2(e23, e21) = all_10_1
% 245.23/49.18    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (20)  all_24_12 = e20 & op2(e21, e24) = e20
% 245.23/49.18    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (20) implies:
% 245.23/49.18  |   (22)  all_24_12 = e20
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (13), (22) imply:
% 245.23/49.18  |   (23)  e23 = e20
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (16), (23) imply:
% 245.23/49.18  |   (24)  all_24_17 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.18  |            (14), (15), (17), (18), (19), (21), (24) are inconsistent by
% 245.23/49.18  |            sub-proof #888.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #869 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_7 = e24
% 245.23/49.18    (2)  all_24_7 = e20
% 245.23/49.18    (3)   ~ (e24 = e20)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (1), (2) imply:
% 245.23/49.18  |   (4)  e24 = e20
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (4) implies:
% 245.23/49.18  |   (5)  e24 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (5) imply:
% 245.23/49.18  |   (6)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (6) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #870 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_1 = e24 & op2(e24, e23) = e24
% 245.23/49.18    (2)  all_24_1 = e22
% 245.23/49.18    (3)   ~ (e24 = e22)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_1 = e24
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e24 = e22
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (5) implies:
% 245.23/49.18  |   (6)  e24 = e22
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #871 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_20 = e24
% 245.23/49.18    (2)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.23/49.18           = e21) | (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 &
% 245.23/49.18           op2(e21, e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.23/49.18    (3)   ~ (e24 = e20)
% 245.23/49.18    (4)   ~ (e23 = e21)
% 245.23/49.18    (5)  op2(e23, e21) = e24
% 245.23/49.18    (6)  op2(e23, e23) = e21
% 245.23/49.18    (7)  all_24_2 = e22
% 245.23/49.18    (8)   ~ (e23 = e22)
% 245.23/49.18    (9)  all_24_0 = e20
% 245.23/49.18    (10)   ~ (e22 = e20)
% 245.23/49.18    (11)  all_24_6 = e20
% 245.23/49.18    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (13)   ~ (e23 = e20)
% 245.23/49.18    (14)   ~ (e24 = e21)
% 245.23/49.18    (15)   ~ (e22 = e21)
% 245.23/49.18    (16)  op2(e23, e22) = e20
% 245.23/49.18    (17)  all_24_12 = e23
% 245.23/49.18    (18)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.18            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.18            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.18    (19)   ~ (e21 = e20)
% 245.23/49.18    (20)   ~ (e24 = e22)
% 245.23/49.18    (21)  all_24_17 = e23
% 245.23/49.18    (22)   ~ (e24 = e23)
% 245.23/49.18    (23)  op2(e23, e21) = all_10_1
% 245.23/49.18    (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (25)  all_24_5 = e20
% 245.23/49.18    (26)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | BETA: splitting (2) gives:
% 245.23/49.18  | 
% 245.23/49.18  | Case 1:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (27)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23,
% 245.23/49.18  | |             e24) = e21)
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (12), (13), (14), (15), (16),
% 245.23/49.18  | |            (18), (19), (20), (22), (23), (24), (25), (26), (27) are
% 245.23/49.18  | |            inconsistent by sub-proof #880.
% 245.23/49.18  | | 
% 245.23/49.18  | Case 2:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (28)  (all_24_6 = e21 & op2(e22, e24) = e21) | (all_24_12 = e21 & op2(e21,
% 245.23/49.18  | |             e24) = e21) | (all_24_20 = e21 & op2(e20, e24) = e21)
% 245.23/49.18  | | 
% 245.23/49.18  | | BETA: splitting (28) gives:
% 245.23/49.18  | | 
% 245.23/49.18  | | Case 1:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (29)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.23/49.18  | | | 
% 245.23/49.18  | | | REF_CLOSE: (11), (19), (29) are inconsistent by sub-proof #879.
% 245.23/49.18  | | | 
% 245.23/49.18  | | Case 2:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (30)  (all_24_12 = e21 & op2(e21, e24) = e21) | (all_24_20 = e21 &
% 245.23/49.18  | | |           op2(e20, e24) = e21)
% 245.23/49.18  | | | 
% 245.23/49.18  | | | BETA: splitting (30) gives:
% 245.23/49.18  | | | 
% 245.23/49.18  | | | Case 1:
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | |   (31)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | REF_CLOSE: (4), (5), (6), (7), (8), (12), (13), (14), (16), (17), (20),
% 245.23/49.18  | | | |            (21), (22), (23), (24), (26), (31) are inconsistent by
% 245.23/49.18  | | | |            sub-proof #873.
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | Case 2:
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | |   (32)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | REF_CLOSE: (1), (14), (32) are inconsistent by sub-proof #872.
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | End of split
% 245.23/49.18  | | | 
% 245.23/49.18  | | End of split
% 245.23/49.18  | | 
% 245.23/49.18  | End of split
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #872 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_20 = e21 & op2(e20, e24) = e21
% 245.23/49.18    (2)  all_24_20 = e24
% 245.23/49.18    (3)   ~ (e24 = e21)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_20 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e24 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (5) imply:
% 245.23/49.18  |   (6)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (6) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #873 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e23 = e21)
% 245.23/49.18    (2)  op2(e23, e21) = e24
% 245.23/49.18    (3)  op2(e23, e23) = e21
% 245.23/49.18    (4)  all_24_2 = e22
% 245.23/49.18    (5)   ~ (e23 = e22)
% 245.23/49.18    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (7)   ~ (e23 = e20)
% 245.23/49.18    (8)   ~ (e24 = e21)
% 245.23/49.18    (9)  op2(e23, e22) = e20
% 245.23/49.18    (10)  all_24_12 = e23
% 245.23/49.18    (11)   ~ (e24 = e22)
% 245.23/49.18    (12)  all_24_17 = e23
% 245.23/49.18    (13)   ~ (e24 = e23)
% 245.23/49.18    (14)  op2(e23, e21) = all_10_1
% 245.23/49.18    (15)  all_24_12 = e21 & op2(e21, e24) = e21
% 245.23/49.18    (16)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (15) implies:
% 245.23/49.18  |   (18)  all_24_12 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (10), (18) imply:
% 245.23/49.18  |   (19)  e23 = e21
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (19) implies:
% 245.23/49.18  |   (20)  e23 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (12), (20) imply:
% 245.23/49.18  |   (21)  all_24_17 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14),
% 245.23/49.18  |            (16), (17), (21) are inconsistent by sub-proof #874.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #874 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e23 = e21)
% 245.23/49.18    (2)  op2(e23, e21) = e24
% 245.23/49.18    (3)  op2(e23, e23) = e21
% 245.23/49.18    (4)  all_24_2 = e22
% 245.23/49.18    (5)   ~ (e23 = e22)
% 245.23/49.18    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (7)   ~ (e23 = e20)
% 245.23/49.18    (8)   ~ (e24 = e21)
% 245.23/49.18    (9)  op2(e23, e22) = e20
% 245.23/49.18    (10)  all_24_17 = e21
% 245.23/49.18    (11)   ~ (e24 = e22)
% 245.23/49.18    (12)   ~ (e24 = e23)
% 245.23/49.18    (13)  op2(e23, e21) = all_10_1
% 245.23/49.18    (14)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | BETA: splitting (15) gives:
% 245.23/49.18  | 
% 245.23/49.18  | Case 1:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.23/49.18  | |             e23) = e23)
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (1), (3), (4), (5), (6), (16) are inconsistent by sub-proof #878.
% 245.23/49.18  | | 
% 245.23/49.18  | Case 2:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (17)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.23/49.18  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  | | 
% 245.23/49.18  | | BETA: splitting (17) gives:
% 245.23/49.18  | | 
% 245.23/49.18  | | Case 1:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (18)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.18  | | | 
% 245.23/49.18  | | | ALPHA: (18) implies:
% 245.23/49.18  | | |   (19)  op2(e23, e22) = e23
% 245.23/49.18  | | | 
% 245.23/49.18  | | | REF_CLOSE: (6), (7), (9), (19) are inconsistent by sub-proof #1326.
% 245.23/49.18  | | | 
% 245.23/49.18  | | Case 2:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (20)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.23/49.18  | | |           op2(e23, e20) = e23)
% 245.23/49.18  | | | 
% 245.23/49.18  | | | BETA: splitting (20) gives:
% 245.23/49.18  | | | 
% 245.23/49.18  | | | Case 1:
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | |   (21)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | ALPHA: (21) implies:
% 245.23/49.18  | | | |   (22)  all_24_10 = e23
% 245.23/49.18  | | | |   (23)  op2(e23, e21) = e23
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | BETA: splitting (14) gives:
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | Case 1:
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | |   (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.23/49.18  | | | | |           op2(e23, e23) = e24)
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | | BETA: splitting (24) gives:
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | | Case 1:
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | |   (25)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | ALPHA: (25) implies:
% 245.23/49.18  | | | | | |   (26)  all_24_2 = e24
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | REF_CLOSE: (4), (11), (26) are inconsistent by sub-proof #890.
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | Case 2:
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | |   (27)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | ALPHA: (27) implies:
% 245.23/49.18  | | | | | |   (28)  all_24_3 = e24
% 245.23/49.18  | | | | | |   (29)  op2(e23, e23) = e24
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | GROUND_INST: instantiating (6) with e24, all_10_1, e21, e23,
% 245.23/49.18  | | | | | |              simplifying with (2), (13) gives:
% 245.23/49.18  | | | | | |   (30)  all_10_1 = e24
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | GROUND_INST: instantiating (6) with e23, all_10_1, e21, e23,
% 245.23/49.18  | | | | | |              simplifying with (13), (23) gives:
% 245.23/49.18  | | | | | |   (31)  all_10_1 = e23
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | GROUND_INST: instantiating (6) with e21, e24, e23, e23, simplifying
% 245.23/49.18  | | | | | |              with (3), (29) gives:
% 245.23/49.18  | | | | | |   (32)  e24 = e21
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | COMBINE_EQS: (30), (31) imply:
% 245.23/49.18  | | | | | |   (33)  e24 = e23
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | SIMP: (33) implies:
% 245.23/49.18  | | | | | |   (34)  e24 = e23
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | COMBINE_EQS: (32), (34) imply:
% 245.23/49.18  | | | | | |   (35)  e23 = e21
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | COMBINE_EQS: (28), (32) imply:
% 245.23/49.18  | | | | | |   (36)  all_24_3 = e21
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | BETA: splitting (14) gives:
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | | Case 1:
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | | BETA: splitting (24) gives:
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | | Case 1:
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | |   (37)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | | REF_CLOSE: (4), (11), (37) are inconsistent by sub-proof #904.
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | Case 2:
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | | REF_CLOSE: (8), (27), (36) are inconsistent by sub-proof #1323.
% 245.23/49.18  | | | | | | | | 
% 245.23/49.18  | | | | | | | End of split
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | Case 2:
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | |   (38)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.23/49.18  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.23/49.18  | | | | | | |             e20) = e24)
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | | REF_CLOSE: (2), (6), (7), (8), (9), (10), (12), (13), (22), (23),
% 245.23/49.18  | | | | | | |            (38) are inconsistent by sub-proof #876.
% 245.23/49.18  | | | | | | | 
% 245.23/49.18  | | | | | | End of split
% 245.23/49.18  | | | | | | 
% 245.23/49.18  | | | | | End of split
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | Case 2:
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | |   (39)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18  | | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) =
% 245.23/49.18  | | | | |           e24)
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | | REF_CLOSE: (2), (6), (7), (8), (9), (10), (12), (13), (22), (23), (39)
% 245.23/49.18  | | | | |            are inconsistent by sub-proof #876.
% 245.23/49.18  | | | | | 
% 245.23/49.18  | | | | End of split
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | Case 2:
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | |   (40)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | | REF_CLOSE: (1), (10), (40) are inconsistent by sub-proof #875.
% 245.23/49.18  | | | | 
% 245.23/49.18  | | | End of split
% 245.23/49.18  | | | 
% 245.23/49.18  | | End of split
% 245.23/49.18  | | 
% 245.23/49.18  | End of split
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #875 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.18    (2)  all_24_17 = e21
% 245.23/49.18    (3)   ~ (e23 = e21)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_17 = e23
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e23 = e21
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (5) implies:
% 245.23/49.18  |   (6)  e23 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #876 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23, e21)
% 245.23/49.18           = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (2)  op2(e23, e21) = e24
% 245.23/49.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (4)   ~ (e23 = e20)
% 245.23/49.18    (5)   ~ (e24 = e21)
% 245.23/49.18    (6)  op2(e23, e22) = e20
% 245.23/49.18    (7)  all_24_17 = e21
% 245.23/49.18    (8)  op2(e23, e21) = e23
% 245.23/49.18    (9)   ~ (e24 = e23)
% 245.23/49.18    (10)  op2(e23, e21) = all_10_1
% 245.23/49.18    (11)  all_24_10 = e23
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | BETA: splitting (1) gives:
% 245.23/49.18  | 
% 245.23/49.18  | Case 1:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (12)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.18  | | 
% 245.23/49.18  | | ALPHA: (12) implies:
% 245.23/49.18  | |   (13)  op2(e23, e22) = e24
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (2), (3), (4), (6), (8), (10), (13) are inconsistent by sub-proof
% 245.23/49.18  | |            #1314.
% 245.23/49.18  | | 
% 245.23/49.18  | Case 2:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (14)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.23/49.18  | |           op2(e23, e20) = e24)
% 245.23/49.18  | | 
% 245.23/49.18  | | BETA: splitting (14) gives:
% 245.23/49.18  | | 
% 245.23/49.18  | | Case 1:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (15)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.18  | | | 
% 245.23/49.18  | | | REF_CLOSE: (9), (11), (15) are inconsistent by sub-proof #1313.
% 245.23/49.18  | | | 
% 245.23/49.18  | | Case 2:
% 245.23/49.18  | | | 
% 245.23/49.18  | | |   (16)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.18  | | | 
% 245.23/49.18  | | | REF_CLOSE: (5), (7), (16) are inconsistent by sub-proof #877.
% 245.23/49.18  | | | 
% 245.23/49.18  | | End of split
% 245.23/49.18  | | 
% 245.23/49.18  | End of split
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #877 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.18    (2)  all_24_17 = e21
% 245.23/49.18    (3)   ~ (e24 = e21)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_17 = e24
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e24 = e21
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (5) imply:
% 245.23/49.18  |   (6)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (6) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #878 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e23 = e21)
% 245.23/49.18    (2)  op2(e23, e23) = e21
% 245.23/49.18    (3)  all_24_2 = e22
% 245.23/49.18    (4)   ~ (e23 = e22)
% 245.23/49.18    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (6)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18           = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | BETA: splitting (6) gives:
% 245.23/49.18  | 
% 245.23/49.18  | Case 1:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (7)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #908.
% 245.23/49.18  | | 
% 245.23/49.18  | Case 2:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (8)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.23/49.18  | | 
% 245.23/49.18  | | ALPHA: (8) implies:
% 245.23/49.18  | |   (9)  op2(e23, e23) = e23
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1305.
% 245.23/49.18  | | 
% 245.23/49.18  | End of split
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #879 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_6 = e21 & op2(e22, e24) = e21
% 245.23/49.18    (2)  all_24_6 = e20
% 245.23/49.18    (3)   ~ (e21 = e20)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_6 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e21 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (5) imply:
% 245.23/49.18  |   (6)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (6) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #880 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)   ~ (e24 = e20)
% 245.23/49.18    (2)   ~ (e23 = e21)
% 245.23/49.18    (3)  op2(e23, e21) = e24
% 245.23/49.18    (4)  op2(e23, e23) = e21
% 245.23/49.18    (5)   ~ (e23 = e22)
% 245.23/49.18    (6)  all_24_0 = e20
% 245.23/49.18    (7)   ~ (e22 = e20)
% 245.23/49.18    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.18    (9)   ~ (e23 = e20)
% 245.23/49.18    (10)   ~ (e24 = e21)
% 245.23/49.18    (11)   ~ (e22 = e21)
% 245.23/49.18    (12)  op2(e23, e22) = e20
% 245.23/49.18    (13)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.23/49.18            = e21)
% 245.23/49.18    (14)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.18            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.18            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.18    (15)   ~ (e21 = e20)
% 245.23/49.18    (16)   ~ (e24 = e22)
% 245.23/49.18    (17)   ~ (e24 = e23)
% 245.23/49.18    (18)  op2(e23, e21) = all_10_1
% 245.23/49.18    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.18            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.18            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.18    (20)  all_24_5 = e20
% 245.23/49.18    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.18            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.18            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | BETA: splitting (13) gives:
% 245.23/49.18  | 
% 245.23/49.18  | Case 1:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (22)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (6), (15), (22) are inconsistent by sub-proof #881.
% 245.23/49.18  | | 
% 245.23/49.18  | Case 2:
% 245.23/49.18  | | 
% 245.23/49.18  | |   (23)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.18  | | 
% 245.23/49.18  | | ALPHA: (23) implies:
% 245.23/49.18  | |   (24)  all_24_2 = e21
% 245.23/49.18  | | 
% 245.23/49.18  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 245.23/49.18  | |            (16), (17), (18), (19), (20), (21), (24) are inconsistent by
% 245.23/49.18  | |            sub-proof #1298.
% 245.23/49.18  | | 
% 245.23/49.18  | End of split
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #881 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.23/49.18    (2)  all_24_0 = e20
% 245.23/49.18    (3)   ~ (e21 = e20)
% 245.23/49.18  
% 245.23/49.18  Begin of proof
% 245.23/49.18  | 
% 245.23/49.18  | ALPHA: (1) implies:
% 245.23/49.18  |   (4)  all_24_0 = e21
% 245.23/49.18  | 
% 245.23/49.18  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.18  |   (5)  e21 = e20
% 245.23/49.18  | 
% 245.23/49.18  | SIMP: (5) implies:
% 245.23/49.18  |   (6)  e21 = e20
% 245.23/49.18  | 
% 245.23/49.18  | REDUCE: (3), (6) imply:
% 245.23/49.18  |   (7)  $false
% 245.23/49.18  | 
% 245.23/49.18  | CLOSE: (7) is inconsistent.
% 245.23/49.18  | 
% 245.23/49.18  End of proof
% 245.23/49.18  
% 245.23/49.18  Sub-proof #882 shows that the following formulas are inconsistent:
% 245.23/49.18  ----------------------------------------------------------------
% 245.23/49.18    (1)  op2(e24, e22) = all_16_10
% 245.23/49.18    (2)   ~ (all_16_10 = e20)
% 245.23/49.18    (3)  op2(e23, unit2) = e23
% 245.23/49.18    (4)   ~ (e24 = e20)
% 245.23/49.18    (5)   ~ (e23 = e21)
% 245.23/49.18    (6)  op2(e23, e21) = e24
% 245.23/49.18    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.18           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.18           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.18    (8)  op2(e23, e23) = e21
% 245.23/49.18    (9)  all_24_2 = e22
% 245.23/49.18    (10)   ~ (e23 = e22)
% 245.23/49.18    (11)   ~ (e22 = e20)
% 245.23/49.18    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.18            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (13)  op2(e23, e24) = e22
% 245.23/49.19    (14)   ~ (e23 = e20)
% 245.23/49.19    (15)  all_24_9 = e23
% 245.23/49.19    (16)  op2(e24, e23) = e22
% 245.23/49.19    (17)   ~ (e24 = e21)
% 245.23/49.19    (18)   ~ (e22 = e21)
% 245.23/49.19    (19)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.23/49.19            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.23/49.19            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.23/49.19    (20)  op2(e24, unit2) = e24
% 245.23/49.19    (21)  op2(e23, e22) = e20
% 245.23/49.19    (22)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19    (23)  (all_24_0 = e21 & op2(e24, e24) = e21) | (all_24_2 = e21 & op2(e23, e24)
% 245.23/49.19            = e21)
% 245.23/49.19    (24)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.23/49.19            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.23/49.19            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.23/49.19    (25)   ~ (e21 = e20)
% 245.23/49.19    (26)   ~ (e24 = e22)
% 245.23/49.19    (27)  all_24_17 = e23
% 245.23/49.19    (28)   ~ (e24 = e23)
% 245.23/49.19    (29)  op2(e23, e21) = all_10_1
% 245.23/49.19    (30)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.19            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.19            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19    (31)  all_24_5 = e20
% 245.23/49.19    (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.19            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.19            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (23) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (33)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.19  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (25),
% 245.23/49.19  | |            (26), (27), (28), (29), (30), (32), (33) are inconsistent by
% 245.23/49.19  | |            sub-proof #883.
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (34)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.19  | | 
% 245.23/49.19  | | ALPHA: (34) implies:
% 245.23/49.19  | |   (35)  all_24_2 = e21
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (4), (5), (6), (8), (10), (11), (12), (14), (17), (18), (21),
% 245.23/49.19  | |            (24), (26), (28), (29), (30), (31), (32), (35) are inconsistent
% 245.23/49.19  | |            by sub-proof #1298.
% 245.23/49.19  | | 
% 245.23/49.19  | End of split
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #883 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)  op2(e24, e22) = all_16_10
% 245.23/49.19    (2)   ~ (all_16_10 = e20)
% 245.23/49.19    (3)  op2(e23, unit2) = e23
% 245.23/49.19    (4)   ~ (e24 = e20)
% 245.23/49.19    (5)   ~ (e23 = e21)
% 245.23/49.19    (6)  op2(e23, e21) = e24
% 245.23/49.19    (7)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.19           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.19    (8)  op2(e23, e23) = e21
% 245.23/49.19    (9)  all_24_2 = e22
% 245.23/49.19    (10)   ~ (e23 = e22)
% 245.23/49.19    (11)   ~ (e22 = e20)
% 245.23/49.19    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (13)  op2(e23, e24) = e22
% 245.23/49.19    (14)   ~ (e23 = e20)
% 245.23/49.19    (15)  all_24_9 = e23
% 245.23/49.19    (16)  op2(e24, e23) = e22
% 245.23/49.19    (17)   ~ (e24 = e21)
% 245.23/49.19    (18)   ~ (e22 = e21)
% 245.23/49.19    (19)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.23/49.19            = e20) | (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 &
% 245.23/49.19            op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.23/49.19    (20)  op2(e24, unit2) = e24
% 245.23/49.19    (21)  op2(e23, e22) = e20
% 245.23/49.19    (22)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19    (23)   ~ (e21 = e20)
% 245.23/49.19    (24)   ~ (e24 = e22)
% 245.23/49.19    (25)  all_24_17 = e23
% 245.23/49.19    (26)   ~ (e24 = e23)
% 245.23/49.19    (27)  op2(e23, e21) = all_10_1
% 245.23/49.19    (28)  all_24_0 = e21 & op2(e24, e24) = e21
% 245.23/49.19    (29)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.19            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.19            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19    (30)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.19            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.19            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | ALPHA: (28) implies:
% 245.23/49.19  |   (31)  all_24_0 = e21
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (19) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (32)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24,
% 245.23/49.19  | |             e23) = e20)
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (11), (12), (16), (23), (31), (32) are inconsistent by sub-proof
% 245.23/49.19  | |            #910.
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (33)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24,
% 245.23/49.19  | |             e21) = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.23/49.19  | |            (14), (15), (17), (18), (20), (21), (22), (23), (24), (25), (26),
% 245.23/49.19  | |            (27), (29), (30), (33) are inconsistent by sub-proof #884.
% 245.23/49.19  | | 
% 245.23/49.19  | End of split
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #884 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)  op2(e24, e22) = all_16_10
% 245.23/49.19    (2)   ~ (all_16_10 = e20)
% 245.23/49.19    (3)  op2(e23, unit2) = e23
% 245.23/49.19    (4)   ~ (e24 = e20)
% 245.23/49.19    (5)  (all_24_4 = e20 & op2(e24, e22) = e20) | (all_24_9 = e20 & op2(e24, e21)
% 245.23/49.19           = e20) | (all_24_16 = e20 & op2(e24, e20) = e20)
% 245.23/49.19    (6)   ~ (e23 = e21)
% 245.23/49.19    (7)  op2(e23, e21) = e24
% 245.23/49.19    (8)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.19           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.19    (9)  op2(e23, e23) = e21
% 245.23/49.19    (10)  all_24_2 = e22
% 245.23/49.19    (11)   ~ (e23 = e22)
% 245.23/49.19    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19            (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (13)  op2(e23, e24) = e22
% 245.23/49.19    (14)   ~ (e23 = e20)
% 245.23/49.19    (15)  all_24_9 = e23
% 245.23/49.19    (16)   ~ (e24 = e21)
% 245.23/49.19    (17)   ~ (e22 = e21)
% 245.23/49.19    (18)  op2(e24, unit2) = e24
% 245.23/49.19    (19)  op2(e23, e22) = e20
% 245.23/49.19    (20)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19    (21)   ~ (e21 = e20)
% 245.23/49.19    (22)   ~ (e24 = e22)
% 245.23/49.19    (23)  all_24_17 = e23
% 245.23/49.19    (24)   ~ (e24 = e23)
% 245.23/49.19    (25)  op2(e23, e21) = all_10_1
% 245.23/49.19    (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.19            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.19            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19    (27)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.19            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.19            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (5) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (28)  all_24_4 = e20 & op2(e24, e22) = e20
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (1), (2), (12), (28) are inconsistent by sub-proof #909.
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (29)  (all_24_9 = e20 & op2(e24, e21) = e20) | (all_24_16 = e20 & op2(e24,
% 245.23/49.19  | |             e20) = e20)
% 245.23/49.19  | | 
% 245.23/49.19  | | BETA: splitting (29) gives:
% 245.23/49.19  | | 
% 245.23/49.19  | | Case 1:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (30)  all_24_9 = e20 & op2(e24, e21) = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (14), (15), (16),
% 245.23/49.19  | | |            (17), (19), (21), (22), (23), (24), (25), (26), (27), (30) are
% 245.23/49.19  | | |            inconsistent by sub-proof #887.
% 245.23/49.19  | | | 
% 245.23/49.19  | | Case 2:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (31)  all_24_16 = e20 & op2(e24, e20) = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | ALPHA: (31) implies:
% 245.23/49.19  | | |   (32)  op2(e24, e20) = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REF_CLOSE: (3), (7), (11), (12), (13), (14), (18), (19), (20), (24), (25),
% 245.23/49.19  | | |            (32) are inconsistent by sub-proof #885.
% 245.23/49.19  | | | 
% 245.23/49.19  | | End of split
% 245.23/49.19  | | 
% 245.23/49.19  | End of split
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #885 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)  op2(e23, unit2) = e23
% 245.23/49.19    (2)  op2(e23, e21) = e24
% 245.23/49.19    (3)   ~ (e23 = e22)
% 245.23/49.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (5)  op2(e23, e24) = e22
% 245.23/49.19    (6)   ~ (e23 = e20)
% 245.23/49.19    (7)  op2(e24, unit2) = e24
% 245.23/49.19    (8)  op2(e23, e22) = e20
% 245.23/49.19    (9)  op2(e24, e20) = e20
% 245.23/49.19    (10)  unit2 = e24 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19    (11)   ~ (e24 = e23)
% 245.23/49.19    (12)  op2(e23, e21) = all_10_1
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (10) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (13)  unit2 = e24
% 245.23/49.19  | | 
% 245.23/49.19  | | REDUCE: (1), (13) imply:
% 245.23/49.19  | |   (14)  op2(e23, e24) = e23
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (3), (4), (5), (14) are inconsistent by sub-proof #965.
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (15)   ~ (unit2 = e24)
% 245.23/49.19  | |   (16)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (11), (12), (15), (16) are
% 245.23/49.19  | |            inconsistent by sub-proof #886.
% 245.23/49.19  | | 
% 245.23/49.19  | End of split
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #886 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)  op2(e23, unit2) = e23
% 245.23/49.19    (2)  op2(e23, e21) = e24
% 245.23/49.19    (3)  unit2 = e22 | unit2 = e21 | unit2 = e20
% 245.23/49.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (5)   ~ (e23 = e20)
% 245.23/49.19    (6)  op2(e24, unit2) = e24
% 245.23/49.19    (7)  op2(e23, e22) = e20
% 245.23/49.19    (8)  op2(e24, e20) = e20
% 245.23/49.19    (9)   ~ (e24 = e23)
% 245.23/49.19    (10)  op2(e23, e21) = all_10_1
% 245.23/49.19    (11)   ~ (unit2 = e24)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (3) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (12)  unit2 = e22
% 245.23/49.19  | | 
% 245.23/49.19  | | REDUCE: (1), (12) imply:
% 245.23/49.19  | |   (13)  op2(e23, e22) = e23
% 245.23/49.19  | | 
% 245.23/49.19  | | REF_CLOSE: (4), (5), (7), (13) are inconsistent by sub-proof #1326.
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (14)  unit2 = e21 | unit2 = e20
% 245.23/49.19  | | 
% 245.23/49.19  | | BETA: splitting (14) gives:
% 245.23/49.19  | | 
% 245.23/49.19  | | Case 1:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (15)  unit2 = e21
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REDUCE: (1), (15) imply:
% 245.23/49.19  | | |   (16)  op2(e23, e21) = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REF_CLOSE: (2), (4), (9), (10), (16) are inconsistent by sub-proof #957.
% 245.23/49.19  | | | 
% 245.23/49.19  | | Case 2:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (17)  unit2 = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REDUCE: (11), (17) imply:
% 245.23/49.19  | | |   (18)   ~ (e24 = e20)
% 245.23/49.19  | | | 
% 245.23/49.19  | | | SIMP: (18) implies:
% 245.23/49.19  | | |   (19)   ~ (e24 = e20)
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REDUCE: (6), (17) imply:
% 245.23/49.19  | | |   (20)  op2(e24, e20) = e24
% 245.23/49.19  | | | 
% 245.23/49.19  | | | GROUND_INST: instantiating (4) with e20, e24, e20, e24, simplifying with
% 245.23/49.19  | | |              (8), (20) gives:
% 245.23/49.19  | | |   (21)  e24 = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REDUCE: (19), (21) imply:
% 245.23/49.19  | | |   (22)  $false
% 245.23/49.19  | | | 
% 245.23/49.19  | | | CLOSE: (22) is inconsistent.
% 245.23/49.19  | | | 
% 245.23/49.19  | | End of split
% 245.23/49.19  | | 
% 245.23/49.19  | End of split
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #887 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)   ~ (e24 = e20)
% 245.23/49.19    (2)   ~ (e23 = e21)
% 245.23/49.19    (3)  op2(e23, e21) = e24
% 245.23/49.19    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.19           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.19    (5)  op2(e23, e23) = e21
% 245.23/49.19    (6)  all_24_2 = e22
% 245.23/49.19    (7)   ~ (e23 = e22)
% 245.23/49.19    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (9)   ~ (e23 = e20)
% 245.23/49.19    (10)  all_24_9 = e23
% 245.23/49.19    (11)   ~ (e24 = e21)
% 245.23/49.19    (12)   ~ (e22 = e21)
% 245.23/49.19    (13)  op2(e23, e22) = e20
% 245.23/49.19    (14)  all_24_9 = e20 & op2(e24, e21) = e20
% 245.23/49.19    (15)   ~ (e21 = e20)
% 245.23/49.19    (16)   ~ (e24 = e22)
% 245.23/49.19    (17)  all_24_17 = e23
% 245.23/49.19    (18)   ~ (e24 = e23)
% 245.23/49.19    (19)  op2(e23, e21) = all_10_1
% 245.23/49.19    (20)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.19            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.19            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19    (21)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.19            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.19            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | ALPHA: (14) implies:
% 245.23/49.19  |   (22)  all_24_9 = e20
% 245.23/49.19  | 
% 245.23/49.19  | COMBINE_EQS: (10), (22) imply:
% 245.23/49.19  |   (23)  e23 = e20
% 245.23/49.19  | 
% 245.23/49.19  | COMBINE_EQS: (17), (23) imply:
% 245.23/49.19  |   (24)  all_24_17 = e20
% 245.23/49.19  | 
% 245.23/49.19  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.23/49.19  |            (15), (16), (18), (19), (20), (21), (24) are inconsistent by
% 245.23/49.19  |            sub-proof #888.
% 245.23/49.19  | 
% 245.23/49.19  End of proof
% 245.23/49.19  
% 245.23/49.19  Sub-proof #888 shows that the following formulas are inconsistent:
% 245.23/49.19  ----------------------------------------------------------------
% 245.23/49.19    (1)  all_24_17 = e20
% 245.23/49.19    (2)   ~ (e24 = e20)
% 245.23/49.19    (3)   ~ (e23 = e21)
% 245.23/49.19    (4)  op2(e23, e21) = e24
% 245.23/49.19    (5)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.19           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.19    (6)  op2(e23, e23) = e21
% 245.23/49.19    (7)  all_24_2 = e22
% 245.23/49.19    (8)   ~ (e23 = e22)
% 245.23/49.19    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.19           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.19    (10)   ~ (e23 = e20)
% 245.23/49.19    (11)   ~ (e24 = e21)
% 245.23/49.19    (12)   ~ (e22 = e21)
% 245.23/49.19    (13)  op2(e23, e22) = e20
% 245.23/49.19    (14)   ~ (e21 = e20)
% 245.23/49.19    (15)   ~ (e24 = e22)
% 245.23/49.19    (16)   ~ (e24 = e23)
% 245.23/49.19    (17)  op2(e23, e21) = all_10_1
% 245.23/49.19    (18)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.19            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.19            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.19            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.19            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  
% 245.23/49.19  Begin of proof
% 245.23/49.19  | 
% 245.23/49.19  | BETA: splitting (19) gives:
% 245.23/49.19  | 
% 245.23/49.19  | Case 1:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.23/49.19  | |             e23) = e23)
% 245.23/49.19  | | 
% 245.23/49.19  | | BETA: splitting (20) gives:
% 245.23/49.19  | | 
% 245.23/49.19  | | Case 1:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (21)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REF_CLOSE: (7), (8), (21) are inconsistent by sub-proof #908.
% 245.23/49.19  | | | 
% 245.23/49.19  | | Case 2:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (22)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | ALPHA: (22) implies:
% 245.23/49.19  | | |   (23)  all_24_3 = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | BETA: splitting (5) gives:
% 245.23/49.19  | | | 
% 245.23/49.19  | | | Case 1:
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | |   (24)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 &
% 245.23/49.19  | | | |           op2(e23, e23) = e21)
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | REF_CLOSE: (3), (7), (12), (23), (24) are inconsistent by sub-proof
% 245.23/49.19  | | | |            #906.
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | Case 2:
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | |   (25)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19  | | | |           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | BETA: splitting (25) gives:
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | Case 1:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | |   (26)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | ALPHA: (26) implies:
% 245.23/49.19  | | | | |   (27)  all_24_5 = e21
% 245.23/49.19  | | | | |   (28)  op2(e23, e22) = e21
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | GROUND_INST: instantiating (9) with e20, e21, e22, e23, simplifying
% 245.23/49.19  | | | | |              with (13), (28) gives:
% 245.23/49.19  | | | | |   (29)  e21 = e20
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | COMBINE_EQS: (27), (29) imply:
% 245.23/49.19  | | | | |   (30)  all_24_5 = e20
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (11), (12), (14), (15), (16),
% 245.23/49.19  | | | | |            (18), (23), (30) are inconsistent by sub-proof #899.
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | Case 2:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | |   (31)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 245.23/49.19  | | | | |           op2(e23, e20) = e21)
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | BETA: splitting (31) gives:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | Case 1:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | |   (32)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | ALPHA: (32) implies:
% 245.23/49.19  | | | | | |   (33)  all_24_10 = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | BETA: splitting (18) gives:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | Case 1:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (34)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.23/49.19  | | | | | | |           op2(e23, e23) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (34) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (35)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (7), (15), (35) are inconsistent by sub-proof #904.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (36)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (16), (23), (36) are inconsistent by sub-proof #903.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | End of split
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | Case 2:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (37)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.23/49.19  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.23/49.19  | | | | | | |             e20) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (37) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (38)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | ALPHA: (38) implies:
% 245.23/49.19  | | | | | | | |   (39)  all_24_5 = e24
% 245.23/49.19  | | | | | | | |   (40)  op2(e23, e22) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e20, e24, e22, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (13), (40) gives:
% 245.23/49.19  | | | | | | | |   (41)  e24 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (39), (41) imply:
% 245.23/49.19  | | | | | | | |   (42)  all_24_5 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (1), (2), (7), (11), (15), (16), (18), (23), (33),
% 245.23/49.19  | | | | | | | |            (42) are inconsistent by sub-proof #901.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (43)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.23/49.19  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | BETA: splitting (43) gives:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | |   (44)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | REF_CLOSE: (11), (33), (44) are inconsistent by sub-proof
% 245.23/49.19  | | | | | | | | |            #1310.
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | |   (45)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | REF_CLOSE: (1), (2), (45) are inconsistent by sub-proof #898.
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | End of split
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | End of split
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | Case 2:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | |   (46)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | REF_CLOSE: (1), (14), (46) are inconsistent by sub-proof #900.
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | End of split
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | End of split
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | End of split
% 245.23/49.19  | | | 
% 245.23/49.19  | | End of split
% 245.23/49.19  | | 
% 245.23/49.19  | Case 2:
% 245.23/49.19  | | 
% 245.23/49.19  | |   (47)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.23/49.19  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.19  | | 
% 245.23/49.19  | | BETA: splitting (47) gives:
% 245.23/49.19  | | 
% 245.23/49.19  | | Case 1:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (48)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | ALPHA: (48) implies:
% 245.23/49.19  | | |   (49)  all_24_5 = e23
% 245.23/49.19  | | |   (50)  op2(e23, e22) = e23
% 245.23/49.19  | | | 
% 245.23/49.19  | | | GROUND_INST: instantiating (9) with e20, e23, e22, e23, simplifying with
% 245.23/49.19  | | |              (13), (50) gives:
% 245.23/49.19  | | |   (51)  e23 = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | COMBINE_EQS: (49), (51) imply:
% 245.23/49.19  | | |   (52)  all_24_5 = e20
% 245.23/49.19  | | | 
% 245.23/49.19  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (12), (14), (15),
% 245.23/49.19  | | |            (16), (18), (19), (52) are inconsistent by sub-proof #891.
% 245.23/49.19  | | | 
% 245.23/49.19  | | Case 2:
% 245.23/49.19  | | | 
% 245.23/49.19  | | |   (53)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.23/49.19  | | |           op2(e23, e20) = e23)
% 245.23/49.19  | | | 
% 245.23/49.19  | | | BETA: splitting (53) gives:
% 245.23/49.19  | | | 
% 245.23/49.19  | | | Case 1:
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | |   (54)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | ALPHA: (54) implies:
% 245.23/49.19  | | | |   (55)  all_24_10 = e23
% 245.23/49.19  | | | |   (56)  op2(e23, e21) = e23
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | BETA: splitting (5) gives:
% 245.23/49.19  | | | | 
% 245.23/49.19  | | | | Case 1:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | |   (57)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 &
% 245.23/49.19  | | | | |           op2(e23, e23) = e21)
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | BETA: splitting (57) gives:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | Case 1:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | |   (58)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | REF_CLOSE: (7), (12), (58) are inconsistent by sub-proof #907.
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | Case 2:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | |   (59)  all_24_3 = e21 & op2(e23, e23) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | ALPHA: (59) implies:
% 245.23/49.19  | | | | | |   (60)  all_24_3 = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | BETA: splitting (18) gives:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | Case 1:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (61)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.23/49.19  | | | | | | |           op2(e23, e23) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (61) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (62)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | ALPHA: (62) implies:
% 245.23/49.19  | | | | | | | |   (63)  all_24_2 = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (7), (15), (63) are inconsistent by sub-proof #890.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (64)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (11), (60), (64) are inconsistent by sub-proof #896.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | End of split
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | Case 2:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (65)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.23/49.19  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.23/49.19  | | | | | | |             e20) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (65) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (66)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | ALPHA: (66) implies:
% 245.23/49.19  | | | | | | | |   (67)  all_24_5 = e24
% 245.23/49.19  | | | | | | | |   (68)  op2(e23, e22) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e24, all_10_1, e21, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (4), (17) gives:
% 245.23/49.19  | | | | | | | |   (69)  all_10_1 = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e23, all_10_1, e21, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (17), (56) gives:
% 245.23/49.19  | | | | | | | |   (70)  all_10_1 = e23
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e20, e24, e22, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (13), (68) gives:
% 245.23/49.19  | | | | | | | |   (71)  e24 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (69), (70) imply:
% 245.23/49.19  | | | | | | | |   (72)  e24 = e23
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (71), (72) imply:
% 245.23/49.19  | | | | | | | |   (73)  e23 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (67), (71) imply:
% 245.23/49.19  | | | | | | | |   (74)  all_24_5 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (1), (2), (7), (11), (15), (16), (18), (55), (60),
% 245.23/49.19  | | | | | | | |            (74) are inconsistent by sub-proof #894.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (75)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.23/49.19  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | BETA: splitting (75) gives:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | |   (76)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | REF_CLOSE: (16), (55), (76) are inconsistent by sub-proof
% 245.23/49.19  | | | | | | | | |            #1313.
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | |   (77)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | REF_CLOSE: (1), (2), (77) are inconsistent by sub-proof #898.
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | End of split
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | End of split
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | End of split
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | Case 2:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | |   (78)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.19  | | | | |           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) =
% 245.23/49.19  | | | | |           e21)
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | BETA: splitting (78) gives:
% 245.23/49.19  | | | | | 
% 245.23/49.19  | | | | | Case 1:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | |   (79)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | ALPHA: (79) implies:
% 245.23/49.19  | | | | | |   (80)  all_24_5 = e21
% 245.23/49.19  | | | | | |   (81)  op2(e23, e22) = e21
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | BETA: splitting (18) gives:
% 245.23/49.19  | | | | | | 
% 245.23/49.19  | | | | | | Case 1:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (82)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.23/49.19  | | | | | | |           op2(e23, e23) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (82) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (83)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | REF_CLOSE: (7), (15), (83) are inconsistent by sub-proof #904.
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | |   (84)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | ALPHA: (84) implies:
% 245.23/49.19  | | | | | | | |   (85)  all_24_3 = e24
% 245.23/49.19  | | | | | | | |   (86)  op2(e23, e23) = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e24, all_10_1, e21, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (4), (17) gives:
% 245.23/49.19  | | | | | | | |   (87)  all_10_1 = e24
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e23, all_10_1, e21, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (17), (56) gives:
% 245.23/49.19  | | | | | | | |   (88)  all_10_1 = e23
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e20, e21, e22, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (13), (81) gives:
% 245.23/49.19  | | | | | | | |   (89)  e21 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | GROUND_INST: instantiating (9) with e21, e24, e23, e23,
% 245.23/49.19  | | | | | | | |              simplifying with (6), (86) gives:
% 245.23/49.19  | | | | | | | |   (90)  e24 = e21
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (87), (88) imply:
% 245.23/49.19  | | | | | | | |   (91)  e24 = e23
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (90), (91) imply:
% 245.23/49.19  | | | | | | | |   (92)  e23 = e21
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (89), (92) imply:
% 245.23/49.19  | | | | | | | |   (93)  e23 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (91), (93) imply:
% 245.23/49.19  | | | | | | | |   (94)  e24 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | COMBINE_EQS: (85), (94) imply:
% 245.23/49.19  | | | | | | | |   (95)  all_24_3 = e20
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | BETA: splitting (18) gives:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | BETA: splitting (82) gives:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | |   (96)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | REF_CLOSE: (7), (15), (96) are inconsistent by sub-proof
% 245.23/49.19  | | | | | | | | | |            #904.
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | REDUCE: (2), (94) imply:
% 245.23/49.19  | | | | | | | | | |   (97)  $false
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | CLOSE: (97) is inconsistent.
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | |   (98)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 245.23/49.19  | | | | | | | | |           e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.23/49.19  | | | | | | | | |           op2(e23, e20) = e24)
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | BETA: splitting (98) gives:
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | |   (99)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | REF_CLOSE: (11), (80), (99) are inconsistent by sub-proof
% 245.23/49.19  | | | | | | | | | |            #889.
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | |   (100)  (all_24_10 = e24 & op2(e23, e21) = e24) |
% 245.23/49.19  | | | | | | | | | |          (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | BETA: splitting (100) gives:
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | |   (101)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | | ALPHA: (101) implies:
% 245.23/49.19  | | | | | | | | | | |   (102)  all_24_10 = e24
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | | COMBINE_EQS: (55), (102) imply:
% 245.23/49.19  | | | | | | | | | | |   (103)  e24 = e23
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | | REDUCE: (16), (91) imply:
% 245.23/49.19  | | | | | | | | | | |   (104)  $false
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | Case 2:
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | |   (105)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | | REF_CLOSE: (1), (2), (105) are inconsistent by sub-proof
% 245.23/49.19  | | | | | | | | | | |            #902.
% 245.23/49.19  | | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | | | 
% 245.23/49.19  | | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | | 
% 245.23/49.19  | | | | | | | | End of split
% 245.23/49.19  | | | | | | | | 
% 245.23/49.19  | | | | | | | End of split
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | Case 2:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | |   (106)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.23/49.19  | | | | | | |            & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.23/49.19  | | | | | | |              e20) = e24)
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | BETA: splitting (106) gives:
% 245.23/49.19  | | | | | | | 
% 245.23/49.19  | | | | | | | Case 1:
% 245.23/49.19  | | | | | | | | 
% 245.23/49.20  | | | | | | | |   (107)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | | REF_CLOSE: (11), (80), (107) are inconsistent by sub-proof #889.
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | Case 2:
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | |   (108)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.23/49.20  | | | | | | | |            e24 & op2(e23, e20) = e24)
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | | BETA: splitting (108) gives:
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | | Case 1:
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | |   (109)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | | REF_CLOSE: (16), (55), (109) are inconsistent by sub-proof
% 245.23/49.20  | | | | | | | | |            #1313.
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | Case 2:
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | |   (110)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | | REF_CLOSE: (1), (2), (110) are inconsistent by sub-proof #902.
% 245.23/49.20  | | | | | | | | | 
% 245.23/49.20  | | | | | | | | End of split
% 245.23/49.20  | | | | | | | | 
% 245.23/49.20  | | | | | | | End of split
% 245.23/49.20  | | | | | | | 
% 245.23/49.20  | | | | | | End of split
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | Case 2:
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | |   (111)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21
% 245.23/49.20  | | | | | |            & op2(e23, e20) = e21)
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | REF_CLOSE: (1), (3), (14), (55), (111) are inconsistent by sub-proof
% 245.23/49.20  | | | | | |            #893.
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | End of split
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | End of split
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | Case 2:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (112)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REF_CLOSE: (1), (10), (112) are inconsistent by sub-proof #892.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | End of split
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #889 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.20    (2)  all_24_5 = e21
% 245.23/49.20    (3)   ~ (e24 = e21)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_5 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e21
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #890 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_2 = e24
% 245.23/49.20    (2)  all_24_2 = e22
% 245.23/49.20    (3)   ~ (e24 = e22)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (1), (2) imply:
% 245.23/49.20  |   (4)  e24 = e22
% 245.23/49.20  | 
% 245.23/49.20  | SIMP: (4) implies:
% 245.23/49.20  |   (5)  e24 = e22
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #891 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e24 = e20)
% 245.23/49.20    (3)   ~ (e23 = e21)
% 245.23/49.20    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.20           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.20           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.20    (5)  all_24_2 = e22
% 245.23/49.20    (6)   ~ (e23 = e22)
% 245.23/49.20    (7)   ~ (e23 = e20)
% 245.23/49.20    (8)   ~ (e24 = e21)
% 245.23/49.20    (9)   ~ (e22 = e21)
% 245.23/49.20    (10)   ~ (e21 = e20)
% 245.23/49.20    (11)   ~ (e24 = e22)
% 245.23/49.20    (12)   ~ (e24 = e23)
% 245.23/49.20    (13)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.20            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.20            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20    (14)  all_24_5 = e20
% 245.23/49.20    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.23/49.20            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.23/49.20            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (15) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.23/49.20  | |             e23) = e23)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (16) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (17)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (5), (6), (17) are inconsistent by sub-proof #908.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (18)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.23/49.20  | | | 
% 245.23/49.20  | | | ALPHA: (18) implies:
% 245.23/49.20  | | |   (19)  all_24_3 = e23
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13),
% 245.23/49.20  | | |            (14), (19) are inconsistent by sub-proof #899.
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (20)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.23/49.20  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (20) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (21)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (7), (14), (21) are inconsistent by sub-proof #897.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (22)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.23/49.20  | | |           op2(e23, e20) = e23)
% 245.23/49.20  | | | 
% 245.23/49.20  | | | BETA: splitting (22) gives:
% 245.23/49.20  | | | 
% 245.23/49.20  | | | Case 1:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (23)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | ALPHA: (23) implies:
% 245.23/49.20  | | | |   (24)  all_24_10 = e23
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | BETA: splitting (4) gives:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | Case 1:
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | |   (25)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 &
% 245.23/49.20  | | | | |           op2(e23, e23) = e21)
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | | BETA: splitting (25) gives:
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | | Case 1:
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | |   (26)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | REF_CLOSE: (5), (9), (26) are inconsistent by sub-proof #907.
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | Case 2:
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | |   (27)  all_24_3 = e21 & op2(e23, e23) = e21
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | ALPHA: (27) implies:
% 245.23/49.20  | | | | | |   (28)  all_24_3 = e21
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | REF_CLOSE: (1), (2), (5), (8), (11), (12), (13), (14), (24), (28)
% 245.23/49.20  | | | | | |            are inconsistent by sub-proof #894.
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | End of split
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | Case 2:
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | |   (29)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.20  | | | | |           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) =
% 245.23/49.20  | | | | |           e21)
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | | BETA: splitting (29) gives:
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | | Case 1:
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | |   (30)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | REF_CLOSE: (10), (14), (30) are inconsistent by sub-proof #905.
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | Case 2:
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | |   (31)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 245.23/49.20  | | | | | |           op2(e23, e20) = e21)
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | | REF_CLOSE: (1), (3), (10), (24), (31) are inconsistent by sub-proof
% 245.23/49.20  | | | | | |            #893.
% 245.23/49.20  | | | | | | 
% 245.23/49.20  | | | | | End of split
% 245.23/49.20  | | | | | 
% 245.23/49.20  | | | | End of split
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | Case 2:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (32)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REF_CLOSE: (1), (7), (32) are inconsistent by sub-proof #892.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | End of split
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #892 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.23/49.20    (2)  all_24_17 = e20
% 245.23/49.20    (3)   ~ (e23 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_17 = e23
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e23 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #893 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e23 = e21)
% 245.23/49.20    (3)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23,
% 245.23/49.20             e20) = e21)
% 245.23/49.20    (4)   ~ (e21 = e20)
% 245.23/49.20    (5)  all_24_10 = e23
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (3) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (6)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | ALPHA: (6) implies:
% 245.23/49.20  | |   (7)  all_24_10 = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1309.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (8)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #900.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #894 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e24 = e20)
% 245.23/49.20    (3)  all_24_2 = e22
% 245.23/49.20    (4)   ~ (e24 = e21)
% 245.23/49.20    (5)   ~ (e24 = e22)
% 245.23/49.20    (6)   ~ (e24 = e23)
% 245.23/49.20    (7)  all_24_10 = e23
% 245.23/49.20    (8)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.20           = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.20           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20    (9)  all_24_5 = e20
% 245.23/49.20    (10)  all_24_3 = e21
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (8) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (11)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 245.23/49.20  | |             e23) = e24)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (11) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (12)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (3), (5), (12) are inconsistent by sub-proof #904.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (13)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (4), (10), (13) are inconsistent by sub-proof #896.
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (14)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23,
% 245.23/49.20  | |             e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (2), (6), (7), (9), (14) are inconsistent by sub-proof #895.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #895 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e24 = e20)
% 245.23/49.20    (3)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23, e21)
% 245.23/49.20           = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20    (4)   ~ (e24 = e23)
% 245.23/49.20    (5)  all_24_10 = e23
% 245.23/49.20    (6)  all_24_5 = e20
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (3) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (7)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #1322.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (8)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.23/49.20  | |            e20) = e24)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (8) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (9)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1313.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (10)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #902.
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #896 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.20    (2)  all_24_3 = e21
% 245.23/49.20    (3)   ~ (e24 = e21)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_3 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e21
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #897 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.20    (2)  all_24_5 = e20
% 245.23/49.20    (3)   ~ (e23 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_5 = e23
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e23 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #898 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.20    (2)  all_24_17 = e20
% 245.23/49.20    (3)   ~ (e24 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_17 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #899 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e24 = e20)
% 245.23/49.20    (3)   ~ (e23 = e21)
% 245.23/49.20    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.20           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.23/49.20           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.20    (5)  all_24_2 = e22
% 245.23/49.20    (6)  all_24_3 = e23
% 245.23/49.20    (7)   ~ (e24 = e21)
% 245.23/49.20    (8)   ~ (e22 = e21)
% 245.23/49.20    (9)   ~ (e21 = e20)
% 245.23/49.20    (10)   ~ (e24 = e22)
% 245.23/49.20    (11)   ~ (e24 = e23)
% 245.23/49.20    (12)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.20            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.20            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20    (13)  all_24_5 = e20
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (4) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (14)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 245.23/49.20  | |             e23) = e21)
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (3), (5), (6), (8), (14) are inconsistent by sub-proof #906.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (15)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23,
% 245.23/49.20  | |             e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (15) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (16)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (9), (13), (16) are inconsistent by sub-proof #905.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (17)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 245.23/49.20  | | |           op2(e23, e20) = e21)
% 245.23/49.20  | | | 
% 245.23/49.20  | | | BETA: splitting (17) gives:
% 245.23/49.20  | | | 
% 245.23/49.20  | | | Case 1:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (18)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | ALPHA: (18) implies:
% 245.23/49.20  | | | |   (19)  all_24_10 = e21
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REF_CLOSE: (1), (2), (5), (6), (7), (10), (11), (12), (13), (19) are
% 245.23/49.20  | | | |            inconsistent by sub-proof #901.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | Case 2:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (20)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REF_CLOSE: (1), (9), (20) are inconsistent by sub-proof #900.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | End of split
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #900 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.23/49.20    (2)  all_24_17 = e20
% 245.23/49.20    (3)   ~ (e21 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_17 = e21
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e21 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #901 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e20
% 245.23/49.20    (2)   ~ (e24 = e20)
% 245.23/49.20    (3)  all_24_2 = e22
% 245.23/49.20    (4)  all_24_3 = e23
% 245.23/49.20    (5)   ~ (e24 = e21)
% 245.23/49.20    (6)  all_24_10 = e21
% 245.23/49.20    (7)   ~ (e24 = e22)
% 245.23/49.20    (8)   ~ (e24 = e23)
% 245.23/49.20    (9)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.23/49.20           = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.23/49.20           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20    (10)  all_24_5 = e20
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (9) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (11)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23,
% 245.23/49.20  | |             e23) = e24)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (11) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (12)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (3), (7), (12) are inconsistent by sub-proof #904.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (13)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (4), (8), (13) are inconsistent by sub-proof #903.
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (14)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 & op2(e23,
% 245.23/49.20  | |             e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.23/49.20  | | 
% 245.23/49.20  | | BETA: splitting (14) gives:
% 245.23/49.20  | | 
% 245.23/49.20  | | Case 1:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (15)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.23/49.20  | | | 
% 245.23/49.20  | | | REF_CLOSE: (2), (10), (15) are inconsistent by sub-proof #1322.
% 245.23/49.20  | | | 
% 245.23/49.20  | | Case 2:
% 245.23/49.20  | | | 
% 245.23/49.20  | | |   (16)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.23/49.20  | | |           op2(e23, e20) = e24)
% 245.23/49.20  | | | 
% 245.23/49.20  | | | BETA: splitting (16) gives:
% 245.23/49.20  | | | 
% 245.23/49.20  | | | Case 1:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (17)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | ALPHA: (17) implies:
% 245.23/49.20  | | | |   (18)  all_24_10 = e24
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | COMBINE_EQS: (6), (18) imply:
% 245.23/49.20  | | | |   (19)  e24 = e21
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | SIMP: (19) implies:
% 245.23/49.20  | | | |   (20)  e24 = e21
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REDUCE: (5), (20) imply:
% 245.23/49.20  | | | |   (21)  $false
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | CLOSE: (21) is inconsistent.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | Case 2:
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | |   (22)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | | REF_CLOSE: (1), (2), (22) are inconsistent by sub-proof #902.
% 245.23/49.20  | | | | 
% 245.23/49.20  | | | End of split
% 245.23/49.20  | | | 
% 245.23/49.20  | | End of split
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #902 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.23/49.20    (2)  all_24_17 = e20
% 245.23/49.20    (3)   ~ (e24 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_17 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e20
% 245.23/49.20  | 
% 245.23/49.20  | SIMP: (5) implies:
% 245.23/49.20  |   (6)  e24 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #903 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.23/49.20    (2)  all_24_3 = e23
% 245.23/49.20    (3)   ~ (e24 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_3 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e23
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #904 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.23/49.20    (2)  all_24_2 = e22
% 245.23/49.20    (3)   ~ (e24 = e22)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_2 = e24
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e24 = e22
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #905 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.23/49.20    (2)  all_24_5 = e20
% 245.23/49.20    (3)   ~ (e21 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_5 = e21
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e21 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #906 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)   ~ (e23 = e21)
% 245.23/49.20    (2)  all_24_2 = e22
% 245.23/49.20    (3)  all_24_3 = e23
% 245.23/49.20    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.23/49.20           = e21)
% 245.23/49.20    (5)   ~ (e22 = e21)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (4) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (6)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #907.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (7)  all_24_3 = e21 & op2(e23, e23) = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | ALPHA: (7) implies:
% 245.23/49.20  | |   (8)  all_24_3 = e21
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1328.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #907 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.23/49.20    (2)  all_24_2 = e22
% 245.23/49.20    (3)   ~ (e22 = e21)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_2 = e21
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e22 = e21
% 245.23/49.20  | 
% 245.23/49.20  | SIMP: (5) implies:
% 245.23/49.20  |   (6)  e22 = e21
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #908 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.20    (2)  all_24_2 = e22
% 245.23/49.20    (3)   ~ (e23 = e22)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_24_2 = e23
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e23 = e22
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #909 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_4 = e20 & op2(e24, e22) = e20
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  op2(e24, e22) = all_16_10
% 245.23/49.20    (4)   ~ (all_16_10 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (5)  op2(e24, e22) = e20
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (2) with all_16_10, e20, e22, e24, simplifying with
% 245.23/49.20  |              (3), (5) gives:
% 245.23/49.20  |   (6)  all_16_10 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #910 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)   ~ (e22 = e20)
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  all_24_0 = e21
% 245.23/49.20    (4)  op2(e24, e23) = e22
% 245.23/49.20    (5)  (all_24_0 = e20 & op2(e24, e24) = e20) | (all_24_1 = e20 & op2(e24, e23)
% 245.23/49.20           = e20)
% 245.23/49.20    (6)   ~ (e21 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (5) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (7)  all_24_0 = e20 & op2(e24, e24) = e20
% 245.23/49.20  | | 
% 245.23/49.20  | | ALPHA: (7) implies:
% 245.23/49.20  | |   (8)  all_24_0 = e20
% 245.23/49.20  | | 
% 245.23/49.20  | | COMBINE_EQS: (3), (8) imply:
% 245.23/49.20  | |   (9)  e21 = e20
% 245.23/49.20  | | 
% 245.23/49.20  | | REDUCE: (6), (9) imply:
% 245.23/49.20  | |   (10)  $false
% 245.23/49.20  | | 
% 245.23/49.20  | | CLOSE: (10) is inconsistent.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (11)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (2), (4), (11) are inconsistent by sub-proof #911.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #911 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_1 = e20 & op2(e24, e23) = e20
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  op2(e24, e23) = e22
% 245.23/49.20    (4)   ~ (e22 = e20)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (5)  op2(e24, e23) = e20
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (2) with e22, e20, e23, e24, simplifying with (3),
% 245.23/49.20  |              (5) gives:
% 245.23/49.20  |   (6)  e22 = e20
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #912 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  op2(e24, e22) = all_16_10
% 245.23/49.20    (2)  (all_24_4 = e23 & op2(e24, e22) = e23) | (all_24_5 = e23 & op2(e23, e22)
% 245.23/49.20           = e23)
% 245.23/49.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (4)   ~ (e23 = e20)
% 245.23/49.20    (5)  op2(e23, e22) = e20
% 245.23/49.20    (6)   ~ (all_16_10 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (2) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (7)  all_24_4 = e23 & op2(e24, e22) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #915.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (8)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | ALPHA: (8) implies:
% 245.23/49.20  | |   (9)  op2(e23, e22) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1326.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #913 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_6 = e23 & op2(e22, e24) = e23
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  op2(e22, e24) = all_16_2
% 245.23/49.20    (4)   ~ (all_16_2 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (5)  op2(e22, e24) = e23
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (2) with all_16_2, e23, e24, e22, simplifying with
% 245.23/49.20  |              (3), (5) gives:
% 245.23/49.20  |   (6)  all_16_2 = e23
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #914 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  op2(e24, e24) = all_12_2
% 245.23/49.20    (2)   ~ (e23 = e22)
% 245.23/49.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (4)  (all_24_0 = e23 & op2(e24, e24) = e23) | (all_24_2 = e23 & op2(e23, e24)
% 245.23/49.20           = e23)
% 245.23/49.20    (5)  op2(e23, e24) = e22
% 245.23/49.20    (6)   ~ (all_12_2 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | BETA: splitting (4) gives:
% 245.23/49.20  | 
% 245.23/49.20  | Case 1:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (7)  all_24_0 = e23 & op2(e24, e24) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #916.
% 245.23/49.20  | | 
% 245.23/49.20  | Case 2:
% 245.23/49.20  | | 
% 245.23/49.20  | |   (8)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | ALPHA: (8) implies:
% 245.23/49.20  | |   (9)  op2(e23, e24) = e23
% 245.23/49.20  | | 
% 245.23/49.20  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #965.
% 245.23/49.20  | | 
% 245.23/49.20  | End of split
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #915 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_4 = e23 & op2(e24, e22) = e23
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  op2(e24, e22) = all_16_10
% 245.23/49.20    (4)   ~ (all_16_10 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (5)  op2(e24, e22) = e23
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (2) with all_16_10, e23, e22, e24, simplifying with
% 245.23/49.20  |              (3), (5) gives:
% 245.23/49.20  |   (6)  all_16_10 = e23
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #916 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_24_0 = e23 & op2(e24, e24) = e23
% 245.23/49.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.23/49.20    (3)  op2(e24, e24) = all_12_2
% 245.23/49.20    (4)   ~ (all_12_2 = e23)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (5)  op2(e24, e24) = e23
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (2) with all_12_2, e23, e24, e24, simplifying with
% 245.23/49.20  |              (3), (5) gives:
% 245.23/49.20  |   (6)  all_12_2 = e23
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #917 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.20           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.20    (2)  op1(e14, e10) = e14
% 245.23/49.20    (3)  op1(e14, e10) = e11
% 245.23/49.20    (4)   ~ (e14 = e11)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | GROUND_INST: instantiating (1) with e11, e14, e10, e14, simplifying with (2),
% 245.23/49.20  |              (3) gives:
% 245.23/49.20  |   (5)  e14 = e11
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (4), (5) imply:
% 245.23/49.20  |   (6)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (6) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #918 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.23/49.20    (2)  all_25_8 = e13
% 245.23/49.20    (3)   ~ (e14 = e13)
% 245.23/49.20  
% 245.23/49.20  Begin of proof
% 245.23/49.20  | 
% 245.23/49.20  | ALPHA: (1) implies:
% 245.23/49.20  |   (4)  all_25_8 = e14
% 245.23/49.20  | 
% 245.23/49.20  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.20  |   (5)  e14 = e13
% 245.23/49.20  | 
% 245.23/49.20  | SIMP: (5) implies:
% 245.23/49.20  |   (6)  e14 = e13
% 245.23/49.20  | 
% 245.23/49.20  | REDUCE: (3), (6) imply:
% 245.23/49.20  |   (7)  $false
% 245.23/49.20  | 
% 245.23/49.20  | CLOSE: (7) is inconsistent.
% 245.23/49.20  | 
% 245.23/49.20  End of proof
% 245.23/49.20  
% 245.23/49.20  Sub-proof #919 shows that the following formulas are inconsistent:
% 245.23/49.20  ----------------------------------------------------------------
% 245.23/49.20    (1)  op1(e11, e10) = all_14_23
% 245.23/49.20    (2)   ~ (e14 = e10)
% 245.23/49.20    (3)  all_25_2 = e12
% 245.23/49.20    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.20           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.20           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.20    (5)  all_25_1 = e12
% 245.23/49.20    (6)  all_25_6 = e11
% 245.23/49.20    (7)  op1(e14, unit1) = e14
% 245.23/49.20    (8)  all_25_24 = e10
% 245.23/49.20    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.20           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.20           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.20    (10)   ~ (e12 = e11)
% 245.23/49.20    (11)   ~ (e14 = e11)
% 245.23/49.20    (12)  all_25_3 = e11
% 245.23/49.20    (13)  op1(e10, e13) = e13
% 245.23/49.20    (14)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.23/49.20            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.23/49.20            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.23/49.20    (15)   ~ (e13 = e10)
% 245.23/49.20    (16)  op1(e11, e12) = all_14_13
% 245.23/49.21    (17)   ~ (e14 = e13)
% 245.23/49.21    (18)  op1(e13, unit1) = e13
% 245.23/49.21    (19)   ~ (all_14_23 = e13)
% 245.23/49.21    (20)  all_25_21 = e13
% 245.23/49.21    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (22)   ~ (e13 = e11)
% 245.23/49.21    (23)  op1(e13, e12) = e10
% 245.23/49.21    (24)  all_25_12 = e13
% 245.23/49.21    (25)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.23/49.21    (26)   ~ (e11 = e10)
% 245.23/49.21    (27)  all_25_9 = e13
% 245.23/49.21    (28)   ~ (e13 = e12)
% 245.23/49.21    (29)  op1(e13, e13) = e11
% 245.23/49.21    (30)   ~ (all_14_13 = e13)
% 245.23/49.21    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.21    (32)   ~ (e12 = e10)
% 245.23/49.21    (33)   ~ (all_14_19 = e14)
% 245.23/49.21    (34)   ~ (all_14_14 = e13)
% 245.23/49.21    (35)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.21            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.21            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.21    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (37)  all_25_0 = e10
% 245.23/49.21    (38)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.21              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.21            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.21    (39)   ~ (all_14_19 = e13)
% 245.23/49.21    (40)  op1(e10, unit1) = e10
% 245.23/49.21    (41)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.21    (42)  op1(unit1, e14) = e14
% 245.23/49.21    (43)  op1(e11, e11) = all_14_18
% 245.23/49.21    (44)   ~ (all_14_19 = e10)
% 245.23/49.21    (45)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.21    (46)  op1(unit1, e12) = e12
% 245.23/49.21    (47)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.21              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.21            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.21    (48)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (49)  op1(e10, e11) = all_14_19
% 245.23/49.21    (50)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.21    (51)  op1(e10, e12) = all_14_14
% 245.23/49.21    (52)  op1(e13, e14) = e12
% 245.23/49.21    (53)   ~ (e14 = e12)
% 245.23/49.21    (54)   ~ (all_14_18 = e13)
% 245.23/49.21    (55)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | ALPHA: (25) implies:
% 245.23/49.21  |   (56)  all_25_4 = e14
% 245.23/49.21  | 
% 245.23/49.21  | BETA: splitting (14) gives:
% 245.23/49.21  | 
% 245.23/49.21  | Case 1:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (57)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 245.23/49.21  | |             e13) = e11)
% 245.23/49.21  | | 
% 245.23/49.21  | | BETA: splitting (57) gives:
% 245.23/49.21  | | 
% 245.23/49.21  | | Case 1:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (58)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | ALPHA: (58) implies:
% 245.23/49.21  | | |   (59)  all_25_0 = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | COMBINE_EQS: (37), (59) imply:
% 245.23/49.21  | | |   (60)  e11 = e10
% 245.23/49.21  | | | 
% 245.23/49.21  | | | SIMP: (60) implies:
% 245.23/49.21  | | |   (61)  e11 = e10
% 245.23/49.21  | | | 
% 245.23/49.21  | | | COMBINE_EQS: (6), (61) imply:
% 245.23/49.21  | | |   (62)  all_25_6 = e10
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13),
% 245.23/49.21  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (26),
% 245.23/49.21  | | |            (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 245.23/49.21  | | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.23/49.21  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (62) are
% 245.23/49.21  | | |            inconsistent by sub-proof #922.
% 245.23/49.21  | | | 
% 245.23/49.21  | | Case 2:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (63)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (5), (10), (63) are inconsistent by sub-proof #1240.
% 245.23/49.21  | | | 
% 245.23/49.21  | | End of split
% 245.23/49.21  | | 
% 245.23/49.21  | Case 2:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (64)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 & op1(e14,
% 245.23/49.21  | |             e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.23/49.21  | | 
% 245.23/49.21  | | BETA: splitting (64) gives:
% 245.23/49.21  | | 
% 245.23/49.21  | | Case 1:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (65)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (11), (56), (65) are inconsistent by sub-proof #921.
% 245.23/49.21  | | | 
% 245.23/49.21  | | Case 2:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (66)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.23/49.21  | | |           op1(e14, e10) = e11)
% 245.23/49.21  | | | 
% 245.23/49.21  | | | BETA: splitting (66) gives:
% 245.23/49.21  | | | 
% 245.23/49.21  | | | Case 1:
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | |   (67)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (10), (11), (12), (13), (15),
% 245.23/49.21  | | | |            (16), (17), (19), (20), (21), (22), (23), (24), (26), (27),
% 245.23/49.21  | | | |            (28), (29), (30), (31), (32), (36), (43), (45), (48), (50),
% 245.23/49.21  | | | |            (53), (54), (55), (67) are inconsistent by sub-proof #920.
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | Case 2:
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | |   (68)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | REF_CLOSE: (7), (11), (15), (18), (21), (23), (28), (40), (41), (44),
% 245.23/49.21  | | | |            (49), (52), (68) are inconsistent by sub-proof #941.
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | End of split
% 245.23/49.21  | | | 
% 245.23/49.21  | | End of split
% 245.23/49.21  | | 
% 245.23/49.21  | End of split
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #920 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)  op1(e11, e10) = all_14_23
% 245.23/49.21    (2)   ~ (e14 = e10)
% 245.23/49.21    (3)  all_25_2 = e12
% 245.23/49.21    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.21    (5)  all_25_1 = e12
% 245.23/49.21    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.21           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.21           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.21    (7)   ~ (e12 = e11)
% 245.23/49.21    (8)   ~ (e14 = e11)
% 245.23/49.21    (9)  all_25_3 = e11
% 245.23/49.21    (10)  op1(e10, e13) = e13
% 245.23/49.21    (11)   ~ (e13 = e10)
% 245.23/49.21    (12)  op1(e11, e12) = all_14_13
% 245.23/49.21    (13)   ~ (e14 = e13)
% 245.23/49.21    (14)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.23/49.21    (15)   ~ (all_14_23 = e13)
% 245.23/49.21    (16)  all_25_21 = e13
% 245.23/49.21    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (18)   ~ (e13 = e11)
% 245.23/49.21    (19)  op1(e13, e12) = e10
% 245.23/49.21    (20)  all_25_12 = e13
% 245.23/49.21    (21)   ~ (e11 = e10)
% 245.23/49.21    (22)  all_25_9 = e13
% 245.23/49.21    (23)   ~ (e13 = e12)
% 245.23/49.21    (24)  op1(e13, e13) = e11
% 245.23/49.21    (25)   ~ (all_14_13 = e13)
% 245.23/49.21    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.21    (27)   ~ (e12 = e10)
% 245.23/49.21    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (29)  op1(e11, e11) = all_14_18
% 245.23/49.21    (30)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.21    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (32)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.21    (33)   ~ (e14 = e12)
% 245.23/49.21    (34)   ~ (all_14_18 = e13)
% 245.23/49.21    (35)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | ALPHA: (14) implies:
% 245.23/49.21  |   (36)  all_25_9 = e11
% 245.23/49.21  | 
% 245.23/49.21  | COMBINE_EQS: (22), (36) imply:
% 245.23/49.21  |   (37)  e13 = e11
% 245.23/49.21  | 
% 245.23/49.21  | COMBINE_EQS: (20), (37) imply:
% 245.23/49.21  |   (38)  all_25_12 = e11
% 245.23/49.21  | 
% 245.23/49.21  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.21  |            (13), (15), (16), (17), (18), (19), (21), (23), (24), (25), (26),
% 245.23/49.21  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (38) are
% 245.23/49.21  |            inconsistent by sub-proof #949.
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #921 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.23/49.21    (2)  all_25_4 = e14
% 245.23/49.21    (3)   ~ (e14 = e11)
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | ALPHA: (1) implies:
% 245.23/49.21  |   (4)  all_25_4 = e11
% 245.23/49.21  | 
% 245.23/49.21  | COMBINE_EQS: (2), (4) imply:
% 245.23/49.21  |   (5)  e14 = e11
% 245.23/49.21  | 
% 245.23/49.21  | REDUCE: (3), (5) imply:
% 245.23/49.21  |   (6)  $false
% 245.23/49.21  | 
% 245.23/49.21  | CLOSE: (6) is inconsistent.
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #922 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)  op1(e11, e10) = all_14_23
% 245.23/49.21    (2)   ~ (e14 = e10)
% 245.23/49.21    (3)  all_25_2 = e12
% 245.23/49.21    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.21    (5)  all_25_1 = e12
% 245.23/49.21    (6)  all_25_24 = e10
% 245.23/49.21    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.21           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.21           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.21    (8)   ~ (e12 = e11)
% 245.23/49.21    (9)   ~ (e14 = e11)
% 245.23/49.21    (10)  all_25_3 = e11
% 245.23/49.21    (11)  op1(e10, e13) = e13
% 245.23/49.21    (12)   ~ (e13 = e10)
% 245.23/49.21    (13)  op1(e11, e12) = all_14_13
% 245.23/49.21    (14)   ~ (e14 = e13)
% 245.23/49.21    (15)  op1(e13, unit1) = e13
% 245.23/49.21    (16)   ~ (all_14_23 = e13)
% 245.23/49.21    (17)  all_25_21 = e13
% 245.23/49.21    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (19)   ~ (e13 = e11)
% 245.23/49.21    (20)  op1(e13, e12) = e10
% 245.23/49.21    (21)   ~ (e11 = e10)
% 245.23/49.21    (22)   ~ (e13 = e12)
% 245.23/49.21    (23)  op1(e13, e13) = e11
% 245.23/49.21    (24)   ~ (all_14_13 = e13)
% 245.23/49.21    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.21    (26)   ~ (e12 = e10)
% 245.23/49.21    (27)   ~ (all_14_19 = e14)
% 245.23/49.21    (28)   ~ (all_14_14 = e13)
% 245.23/49.21    (29)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.21            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.21            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.21    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (31)  all_25_0 = e10
% 245.23/49.21    (32)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.21              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.21            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.21    (33)   ~ (all_14_19 = e13)
% 245.23/49.21    (34)  op1(e10, unit1) = e10
% 245.23/49.21    (35)  all_25_6 = e10
% 245.23/49.21    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.21    (37)  op1(unit1, e14) = e14
% 245.23/49.21    (38)  op1(e11, e11) = all_14_18
% 245.23/49.21    (39)   ~ (all_14_19 = e10)
% 245.23/49.21    (40)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.21    (41)  op1(unit1, e12) = e12
% 245.23/49.21    (42)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.21              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.21            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.21    (43)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (44)  op1(e10, e11) = all_14_19
% 245.23/49.21    (45)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.21    (46)  op1(e10, e12) = all_14_14
% 245.23/49.21    (47)  op1(e13, e14) = e12
% 245.23/49.21    (48)   ~ (e14 = e12)
% 245.23/49.21    (49)   ~ (all_14_18 = e13)
% 245.23/49.21    (50)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | BETA: splitting (29) gives:
% 245.23/49.21  | 
% 245.23/49.21  | Case 1:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (51)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 245.23/49.21  | |             e14) = e11)
% 245.23/49.21  | | 
% 245.23/49.21  | | BETA: splitting (51) gives:
% 245.23/49.21  | | 
% 245.23/49.21  | | Case 1:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (52)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (21), (31), (52) are inconsistent by sub-proof #1222.
% 245.23/49.21  | | | 
% 245.23/49.21  | | Case 2:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (53)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (3), (8), (53) are inconsistent by sub-proof #1189.
% 245.23/49.21  | | | 
% 245.23/49.21  | | End of split
% 245.23/49.21  | | 
% 245.23/49.21  | Case 2:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (54)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 245.23/49.21  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.21  | | 
% 245.23/49.21  | | BETA: splitting (54) gives:
% 245.23/49.21  | | 
% 245.23/49.21  | | Case 1:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (55)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (21), (35), (55) are inconsistent by sub-proof #1015.
% 245.23/49.21  | | | 
% 245.23/49.21  | | Case 2:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (56)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.23/49.21  | | |           op1(e10, e14) = e11)
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.21  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.23/49.21  | | |            (23), (24), (25), (26), (27), (28), (30), (32), (33), (34),
% 245.23/49.21  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 245.23/49.21  | | |            (46), (47), (48), (49), (50), (56) are inconsistent by
% 245.23/49.21  | | |            sub-proof #946.
% 245.23/49.21  | | | 
% 245.23/49.21  | | End of split
% 245.23/49.21  | | 
% 245.23/49.21  | End of split
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #923 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)   ~ (e14 = e10)
% 245.23/49.21    (2)  all_25_2 = e12
% 245.23/49.21    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.21    (4)  op1(e14, unit1) = e14
% 245.23/49.21    (5)  all_25_24 = e10
% 245.23/49.21    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.21           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.21           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.21    (7)   ~ (e12 = e11)
% 245.23/49.21    (8)   ~ (e14 = e11)
% 245.23/49.21    (9)   ~ (e13 = e10)
% 245.23/49.21    (10)   ~ (e14 = e13)
% 245.23/49.21    (11)  op1(e13, unit1) = e13
% 245.23/49.21    (12)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.21              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.21            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.21    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (14)   ~ (e13 = e11)
% 245.23/49.21    (15)  op1(e13, e12) = e10
% 245.23/49.21    (16)   ~ (e11 = e10)
% 245.23/49.21    (17)   ~ (e13 = e12)
% 245.23/49.21    (18)  op1(e13, e13) = e11
% 245.23/49.21    (19)   ~ (e12 = e10)
% 245.23/49.21    (20)  all_25_18 = e10
% 245.23/49.21    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (22)  op1(e14, e10) = all_14_20
% 245.23/49.21    (23)   ~ (all_14_20 = e12)
% 245.23/49.21    (24)  op1(e10, unit1) = e10
% 245.23/49.21    (25)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.21    (26)  op1(e14, e12) = all_14_10
% 245.23/49.21    (27)   ~ (all_14_10 = e12)
% 245.23/49.21    (28)   ~ (all_14_19 = e10)
% 245.23/49.21    (29)  op1(unit1, e12) = e12
% 245.23/49.21    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (31)  op1(e10, e11) = all_14_19
% 245.23/49.21    (32)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.21              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.21            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.21    (33)  op1(e13, e14) = e12
% 245.23/49.21    (34)   ~ (e14 = e12)
% 245.23/49.21    (35)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | BETA: splitting (32) gives:
% 245.23/49.21  | 
% 245.23/49.21  | Case 1:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (36)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 245.23/49.21  | |           op1(e13, e10) = e12)
% 245.23/49.21  | | 
% 245.23/49.21  | | REF_CLOSE: (9), (11), (13), (15), (17), (22), (23), (24), (25), (26), (27),
% 245.23/49.21  | |            (28), (29), (31), (36) are inconsistent by sub-proof #1224.
% 245.23/49.21  | | 
% 245.23/49.21  | Case 2:
% 245.23/49.21  | | 
% 245.23/49.21  | |   (37)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 245.23/49.21  | |           op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.21  | | 
% 245.23/49.21  | | BETA: splitting (37) gives:
% 245.23/49.21  | | 
% 245.23/49.21  | | Case 1:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (38)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.23/49.21  | | | 
% 245.23/49.21  | | | ALPHA: (38) implies:
% 245.23/49.21  | | |   (39)  all_25_18 = e12
% 245.23/49.21  | | | 
% 245.23/49.21  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (13), (14), (15),
% 245.23/49.21  | | |            (16), (17), (18), (19), (20), (21), (30), (34), (39) are
% 245.23/49.21  | | |            inconsistent by sub-proof #977.
% 245.23/49.21  | | | 
% 245.23/49.21  | | Case 2:
% 245.23/49.21  | | | 
% 245.23/49.21  | | |   (40)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 245.23/49.21  | | |           op1(e10, e10) = e12)
% 245.23/49.21  | | | 
% 245.23/49.21  | | | BETA: splitting (40) gives:
% 245.23/49.21  | | | 
% 245.23/49.21  | | | Case 1:
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | |   (41)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | ALPHA: (41) implies:
% 245.23/49.21  | | | |   (42)  all_25_19 = e12
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | BETA: splitting (12) gives:
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | Case 1:
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | |   (43)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 245.23/49.21  | | | | |           op1(e13, e10) = e11)
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | | BETA: splitting (43) gives:
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | | Case 1:
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | |   (44)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | | REF_CLOSE: (4), (8), (9), (11), (13), (15), (17), (24), (25), (28),
% 245.23/49.21  | | | | | |            (31), (33), (44) are inconsistent by sub-proof #941.
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | Case 2:
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | |   (45)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | | REF_CLOSE: (14), (35), (45) are inconsistent by sub-proof #940.
% 245.23/49.21  | | | | | | 
% 245.23/49.21  | | | | | End of split
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | Case 2:
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | |   (46)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 245.23/49.21  | | | | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) =
% 245.23/49.21  | | | | |           e11)
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | | REF_CLOSE: (5), (7), (16), (20), (42), (46) are inconsistent by
% 245.23/49.21  | | | | |            sub-proof #1065.
% 245.23/49.21  | | | | | 
% 245.23/49.21  | | | | End of split
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | Case 2:
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | |   (47)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (13), (14),
% 245.23/49.21  | | | |            (15), (16), (17), (18), (19), (21), (30), (34), (47) are
% 245.23/49.21  | | | |            inconsistent by sub-proof #1013.
% 245.23/49.21  | | | | 
% 245.23/49.21  | | | End of split
% 245.23/49.21  | | | 
% 245.23/49.21  | | End of split
% 245.23/49.21  | | 
% 245.23/49.21  | End of split
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #924 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)  op1(e11, e10) = all_14_23
% 245.23/49.21    (2)   ~ (e14 = e10)
% 245.23/49.21    (3)  all_25_2 = e12
% 245.23/49.21    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.21    (5)  all_25_1 = e12
% 245.23/49.21    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.21           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.21           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.21    (7)   ~ (e12 = e11)
% 245.23/49.21    (8)   ~ (e14 = e11)
% 245.23/49.21    (9)  all_25_3 = e11
% 245.23/49.21    (10)  op1(e10, e13) = e13
% 245.23/49.21    (11)   ~ (e13 = e10)
% 245.23/49.21    (12)  op1(e11, e12) = all_14_13
% 245.23/49.21    (13)   ~ (e14 = e13)
% 245.23/49.21    (14)   ~ (all_14_23 = e13)
% 245.23/49.21    (15)  all_25_21 = e13
% 245.23/49.21    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (17)   ~ (e13 = e11)
% 245.23/49.21    (18)  op1(e13, e12) = e10
% 245.23/49.21    (19)  all_25_12 = e13
% 245.23/49.21    (20)   ~ (e11 = e10)
% 245.23/49.21    (21)   ~ (e13 = e12)
% 245.23/49.21    (22)  op1(e13, e13) = e11
% 245.23/49.21    (23)   ~ (all_14_13 = e13)
% 245.23/49.21    (24)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.21    (25)   ~ (e12 = e10)
% 245.23/49.21    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (27)  op1(e11, e11) = all_14_18
% 245.23/49.21    (28)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.21    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (30)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.23/49.21    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.21    (32)   ~ (e14 = e12)
% 245.23/49.21    (33)   ~ (all_14_18 = e13)
% 245.23/49.21    (34)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | ALPHA: (30) implies:
% 245.23/49.21  |   (35)  all_25_21 = e11
% 245.23/49.21  | 
% 245.23/49.21  | COMBINE_EQS: (15), (35) imply:
% 245.23/49.21  |   (36)  e13 = e11
% 245.23/49.21  | 
% 245.23/49.21  | SIMP: (36) implies:
% 245.23/49.21  |   (37)  e13 = e11
% 245.23/49.21  | 
% 245.23/49.21  | COMBINE_EQS: (19), (37) imply:
% 245.23/49.21  |   (38)  all_25_12 = e11
% 245.23/49.21  | 
% 245.23/49.21  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.21  |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 245.23/49.21  |            (25), (26), (27), (28), (29), (31), (32), (33), (34), (38) are
% 245.23/49.21  |            inconsistent by sub-proof #949.
% 245.23/49.21  | 
% 245.23/49.21  End of proof
% 245.23/49.21  
% 245.23/49.21  Sub-proof #925 shows that the following formulas are inconsistent:
% 245.23/49.21  ----------------------------------------------------------------
% 245.23/49.21    (1)  op1(e11, e10) = all_14_23
% 245.23/49.21    (2)   ~ (e14 = e10)
% 245.23/49.21    (3)  all_25_2 = e12
% 245.23/49.21    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.21           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.21           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.21    (5)  all_25_1 = e12
% 245.23/49.21    (6)  op1(e14, unit1) = e14
% 245.23/49.21    (7)  all_25_24 = e10
% 245.23/49.21    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.21           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.21           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.21    (9)   ~ (e12 = e11)
% 245.23/49.21    (10)   ~ (e14 = e11)
% 245.23/49.21    (11)  all_25_3 = e11
% 245.23/49.21    (12)  op1(e10, e13) = e13
% 245.23/49.21    (13)   ~ (e13 = e10)
% 245.23/49.21    (14)  op1(e11, e12) = all_14_13
% 245.23/49.21    (15)   ~ (e14 = e13)
% 245.23/49.21    (16)  op1(e12, e10) = e12
% 245.23/49.21    (17)  op1(e13, unit1) = e13
% 245.23/49.21    (18)  all_25_19 = e14
% 245.23/49.21    (19)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.21              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.21            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.21    (20)   ~ (all_14_23 = e13)
% 245.23/49.21    (21)  all_25_21 = e13
% 245.23/49.21    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.21            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.21    (23)   ~ (e13 = e11)
% 245.23/49.21    (24)  op1(e13, e12) = e10
% 245.23/49.21    (25)  all_25_12 = e13
% 245.23/49.21    (26)   ~ (e11 = e10)
% 245.23/49.21    (27)   ~ (e13 = e12)
% 245.23/49.21    (28)  op1(e13, e13) = e11
% 245.23/49.21    (29)   ~ (all_14_13 = e13)
% 245.23/49.21    (30)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.21              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.21            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.21    (31)   ~ (e12 = e10)
% 245.23/49.21    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.21            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.21            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.21    (33)  op1(e10, unit1) = e10
% 245.23/49.21    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.21    (35)  op1(e11, e11) = all_14_18
% 245.23/49.21    (36)   ~ (all_14_19 = e10)
% 245.23/49.21    (37)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.21            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.21            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.21    (38)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.21            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.21    (39)  op1(e10, e11) = all_14_19
% 245.23/49.21    (40)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.21            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.21            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.21    (41)  op1(e13, e14) = e12
% 245.23/49.21    (42)   ~ (e14 = e12)
% 245.23/49.21    (43)   ~ (all_14_18 = e13)
% 245.23/49.21    (44)  all_25_17 = e13
% 245.23/49.21  
% 245.23/49.21  Begin of proof
% 245.23/49.21  | 
% 245.23/49.21  | BETA: splitting (19) gives:
% 245.23/49.21  | 
% 245.23/49.21  | Case 1:
% 245.23/49.21  | | 
% 245.23/49.22  | |   (45)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 245.23/49.22  | |           op1(e13, e10) = e11)
% 245.23/49.22  | | 
% 245.23/49.22  | | BETA: splitting (45) gives:
% 245.23/49.22  | | 
% 245.23/49.22  | | Case 1:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (46)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.23/49.22  | | | 
% 245.23/49.22  | | | REF_CLOSE: (6), (10), (13), (17), (22), (24), (27), (33), (34), (36),
% 245.23/49.22  | | |            (39), (41), (46) are inconsistent by sub-proof #941.
% 245.23/49.22  | | | 
% 245.23/49.22  | | Case 2:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (47)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.23/49.22  | | | 
% 245.23/49.22  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (13),
% 245.23/49.22  | | |            (14), (15), (20), (21), (22), (23), (24), (25), (26), (27),
% 245.23/49.22  | | |            (28), (29), (30), (31), (32), (35), (37), (38), (40), (42),
% 245.23/49.22  | | |            (43), (44), (47) are inconsistent by sub-proof #927.
% 245.23/49.22  | | | 
% 245.23/49.22  | | End of split
% 245.23/49.22  | | 
% 245.23/49.22  | Case 2:
% 245.23/49.22  | | 
% 245.23/49.22  | |   (48)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 245.23/49.22  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.22  | | 
% 245.23/49.22  | | BETA: splitting (48) gives:
% 245.23/49.22  | | 
% 245.23/49.22  | | Case 1:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (49)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.23/49.22  | | | 
% 245.23/49.22  | | | ALPHA: (49) implies:
% 245.23/49.22  | | |   (50)  op1(e12, e10) = e11
% 245.23/49.22  | | | 
% 245.23/49.22  | | | REF_CLOSE: (9), (16), (22), (50) are inconsistent by sub-proof #926.
% 245.23/49.22  | | | 
% 245.23/49.22  | | Case 2:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (51)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 245.23/49.22  | | |           op1(e10, e10) = e11)
% 245.23/49.22  | | | 
% 245.23/49.22  | | | BETA: splitting (51) gives:
% 245.23/49.22  | | | 
% 245.23/49.22  | | | Case 1:
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | |   (52)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | | ALPHA: (52) implies:
% 245.23/49.22  | | | |   (53)  all_25_19 = e11
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | | REF_CLOSE: (10), (18), (53) are inconsistent by sub-proof #1097.
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | Case 2:
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | |   (54)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | | REF_CLOSE: (7), (26), (54) are inconsistent by sub-proof #1201.
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | End of split
% 245.23/49.22  | | | 
% 245.23/49.22  | | End of split
% 245.23/49.22  | | 
% 245.23/49.22  | End of split
% 245.23/49.22  | 
% 245.23/49.22  End of proof
% 245.23/49.22  
% 245.23/49.22  Sub-proof #926 shows that the following formulas are inconsistent:
% 245.23/49.22  ----------------------------------------------------------------
% 245.23/49.22    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.22           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.22    (2)  op1(e12, e10) = e12
% 245.23/49.22    (3)  op1(e12, e10) = e11
% 245.23/49.22    (4)   ~ (e12 = e11)
% 245.23/49.22  
% 245.23/49.22  Begin of proof
% 245.23/49.22  | 
% 245.23/49.22  | GROUND_INST: instantiating (1) with e11, e12, e10, e12, simplifying with (2),
% 245.23/49.22  |              (3) gives:
% 245.23/49.22  |   (5)  e12 = e11
% 245.23/49.22  | 
% 245.23/49.22  | REDUCE: (4), (5) imply:
% 245.23/49.22  |   (6)  $false
% 245.23/49.22  | 
% 245.23/49.22  | CLOSE: (6) is inconsistent.
% 245.23/49.22  | 
% 245.23/49.22  End of proof
% 245.23/49.22  
% 245.23/49.22  Sub-proof #927 shows that the following formulas are inconsistent:
% 245.23/49.22  ----------------------------------------------------------------
% 245.23/49.22    (1)  op1(e11, e10) = all_14_23
% 245.23/49.22    (2)   ~ (e14 = e10)
% 245.23/49.22    (3)  all_25_2 = e12
% 245.23/49.22    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.22           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.22           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.22    (5)  all_25_1 = e12
% 245.23/49.22    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.22           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.22           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.22    (7)   ~ (e12 = e11)
% 245.23/49.22    (8)   ~ (e14 = e11)
% 245.23/49.22    (9)  all_25_3 = e11
% 245.23/49.22    (10)  op1(e10, e13) = e13
% 245.23/49.22    (11)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.23/49.22    (12)   ~ (e13 = e10)
% 245.23/49.22    (13)  op1(e11, e12) = all_14_13
% 245.23/49.22    (14)   ~ (e14 = e13)
% 245.23/49.22    (15)   ~ (all_14_23 = e13)
% 245.23/49.22    (16)  all_25_21 = e13
% 245.23/49.22    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.22            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.22    (18)   ~ (e13 = e11)
% 245.23/49.22    (19)  op1(e13, e12) = e10
% 245.23/49.22    (20)  all_25_12 = e13
% 245.23/49.22    (21)   ~ (e11 = e10)
% 245.23/49.22    (22)   ~ (e13 = e12)
% 245.23/49.22    (23)  op1(e13, e13) = e11
% 245.23/49.22    (24)   ~ (all_14_13 = e13)
% 245.23/49.22    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.22              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.22            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.22    (26)   ~ (e12 = e10)
% 245.23/49.22    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.22            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.22            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.22    (28)  op1(e11, e11) = all_14_18
% 245.23/49.22    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.22            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.22            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.22    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.22            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.22    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.22            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.22    (32)   ~ (e14 = e12)
% 245.23/49.22    (33)   ~ (all_14_18 = e13)
% 245.23/49.22    (34)  all_25_17 = e13
% 245.23/49.22  
% 245.23/49.22  Begin of proof
% 245.23/49.22  | 
% 245.23/49.22  | ALPHA: (11) implies:
% 245.23/49.22  |   (35)  all_25_17 = e11
% 245.23/49.22  | 
% 245.23/49.22  | COMBINE_EQS: (34), (35) imply:
% 245.23/49.22  |   (36)  e13 = e11
% 245.23/49.22  | 
% 245.23/49.22  | COMBINE_EQS: (20), (36) imply:
% 245.23/49.22  |   (37)  all_25_12 = e11
% 245.23/49.22  | 
% 245.23/49.22  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.23/49.22  |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 245.23/49.22  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (37) are
% 245.23/49.22  |            inconsistent by sub-proof #949.
% 245.23/49.22  | 
% 245.23/49.22  End of proof
% 245.23/49.22  
% 245.23/49.22  Sub-proof #928 shows that the following formulas are inconsistent:
% 245.23/49.22  ----------------------------------------------------------------
% 245.23/49.22    (1)  op1(e11, e10) = all_14_23
% 245.23/49.22    (2)   ~ (e14 = e10)
% 245.23/49.22    (3)  all_25_2 = e12
% 245.23/49.22    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.22           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.22           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.22    (5)  all_25_1 = e12
% 245.23/49.22    (6)  op1(e14, unit1) = e14
% 245.23/49.22    (7)  all_25_24 = e10
% 245.23/49.22    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.22           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.22           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.22    (9)   ~ (e12 = e11)
% 245.23/49.22    (10)   ~ (e14 = e11)
% 245.23/49.22    (11)  all_25_3 = e11
% 245.23/49.22    (12)  op1(e10, e13) = e13
% 245.23/49.22    (13)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.23/49.22    (14)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.23/49.22            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.23/49.22            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.23/49.22    (15)   ~ (e13 = e10)
% 245.23/49.22    (16)  op1(e11, e12) = all_14_13
% 245.23/49.22    (17)   ~ (e14 = e13)
% 245.23/49.22    (18)   ~ (all_14_17 = e14)
% 245.23/49.22    (19)  op1(e13, unit1) = e13
% 245.23/49.22    (20)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.22              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.22            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.22    (21)   ~ (all_14_23 = e13)
% 245.23/49.22    (22)  all_25_21 = e13
% 245.23/49.22    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.22            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.22    (24)   ~ (e13 = e11)
% 245.23/49.22    (25)  op1(e13, e12) = e10
% 245.23/49.22    (26)  op1(e12, e11) = all_14_17
% 245.23/49.22    (27)   ~ (e11 = e10)
% 245.23/49.22    (28)   ~ (e13 = e12)
% 245.23/49.22    (29)  op1(e13, e13) = e11
% 245.23/49.22    (30)   ~ (all_14_13 = e13)
% 245.23/49.22    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.22              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.22            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.22    (32)   ~ (e12 = e10)
% 245.23/49.22    (33)   ~ (all_14_19 = e14)
% 245.23/49.22    (34)   ~ (all_14_14 = e13)
% 245.23/49.22    (35)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.22            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.22            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.22    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.22            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.22            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.22    (37)  all_25_0 = e10
% 245.23/49.22    (38)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.22              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.22            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.22    (39)   ~ (all_14_19 = e13)
% 245.23/49.22    (40)  op1(e14, e10) = all_14_20
% 245.23/49.22    (41)   ~ (all_14_20 = e12)
% 245.23/49.22    (42)  op1(e10, unit1) = e10
% 245.23/49.22    (43)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.22    (44)  op1(unit1, e14) = e14
% 245.23/49.22    (45)  op1(e14, e12) = all_14_10
% 245.23/49.22    (46)   ~ (all_14_10 = e12)
% 245.23/49.22    (47)  op1(e11, e11) = all_14_18
% 245.23/49.22    (48)   ~ (all_14_19 = e10)
% 245.23/49.22    (49)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.22            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.22            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.22    (50)  all_25_8 = e13
% 245.23/49.22    (51)  op1(unit1, e12) = e12
% 245.23/49.22    (52)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.22              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.22            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.22    (53)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.22            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.22    (54)  op1(e10, e11) = all_14_19
% 245.23/49.22    (55)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.22            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.22    (56)  op1(e10, e12) = all_14_14
% 245.23/49.22    (57)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.22              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.22            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.22    (58)  op1(e13, e14) = e12
% 245.23/49.22    (59)   ~ (e14 = e12)
% 245.23/49.22    (60)   ~ (all_14_18 = e13)
% 245.23/49.22    (61)  all_25_17 = e13
% 245.23/49.22  
% 245.23/49.22  Begin of proof
% 245.23/49.22  | 
% 245.23/49.22  | ALPHA: (13) implies:
% 245.23/49.22  |   (62)  all_25_13 = e14
% 245.23/49.22  | 
% 245.23/49.22  | BETA: splitting (49) gives:
% 245.23/49.22  | 
% 245.23/49.22  | Case 1:
% 245.23/49.22  | | 
% 245.23/49.22  | |   (63)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.23/49.22  | |             e13) = e10)
% 245.23/49.22  | | 
% 245.23/49.22  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (15), (17), (23), (24), (25),
% 245.23/49.22  | |            (27), (28), (29), (32), (36), (53), (59), (63) are inconsistent
% 245.23/49.22  | |            by sub-proof #1279.
% 245.23/49.22  | | 
% 245.23/49.22  | Case 2:
% 245.23/49.22  | | 
% 245.23/49.22  | |   (64)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.23/49.22  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.22  | | 
% 245.23/49.22  | | BETA: splitting (64) gives:
% 245.23/49.22  | | 
% 245.23/49.22  | | Case 1:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (65)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.23/49.22  | | | 
% 245.23/49.22  | | | ALPHA: (65) implies:
% 245.23/49.22  | | |   (66)  all_25_7 = e10
% 245.23/49.22  | | | 
% 245.23/49.22  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.22  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 245.23/49.22  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 245.23/49.22  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 245.23/49.22  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 245.23/49.22  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (66) are
% 245.23/49.22  | | |            inconsistent by sub-proof #936.
% 245.23/49.22  | | | 
% 245.23/49.22  | | Case 2:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (67)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.23/49.22  | | |           op1(e10, e13) = e10)
% 245.23/49.22  | | | 
% 245.23/49.22  | | | BETA: splitting (67) gives:
% 245.23/49.22  | | | 
% 245.23/49.22  | | | Case 1:
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | |   (68)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | | REF_CLOSE: (2), (62), (68) are inconsistent by sub-proof #1159.
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | Case 2:
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | |   (69)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | | REF_CLOSE: (2), (3), (4), (10), (11), (15), (17), (22), (23), (24),
% 245.23/49.22  | | | |            (25), (28), (29), (53), (59), (61), (69) are inconsistent by
% 245.23/49.22  | | | |            sub-proof #1256.
% 245.23/49.22  | | | | 
% 245.23/49.22  | | | End of split
% 245.23/49.22  | | | 
% 245.23/49.22  | | End of split
% 245.23/49.22  | | 
% 245.23/49.22  | End of split
% 245.23/49.22  | 
% 245.23/49.22  End of proof
% 245.23/49.22  
% 245.23/49.22  Sub-proof #929 shows that the following formulas are inconsistent:
% 245.23/49.22  ----------------------------------------------------------------
% 245.23/49.22    (1)  op1(e11, e10) = all_14_23
% 245.23/49.22    (2)   ~ (e14 = e10)
% 245.23/49.22    (3)  all_25_2 = e12
% 245.23/49.22    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.22           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.22           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.22    (5)  all_25_1 = e12
% 245.23/49.22    (6)  all_25_6 = e11
% 245.23/49.22    (7)  all_25_20 = e14
% 245.23/49.22    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.22           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.22           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.22    (9)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.23/49.22    (10)   ~ (e12 = e11)
% 245.23/49.22    (11)   ~ (e14 = e11)
% 245.23/49.22    (12)  all_25_3 = e11
% 245.23/49.22    (13)  op1(e10, e13) = e13
% 245.23/49.22    (14)   ~ (e13 = e10)
% 245.23/49.22    (15)  op1(e11, e12) = all_14_13
% 245.23/49.22    (16)   ~ (e14 = e13)
% 245.23/49.22    (17)  op1(e13, e11) = e14
% 245.23/49.22    (18)   ~ (all_14_23 = e13)
% 245.23/49.22    (19)  all_25_21 = e13
% 245.23/49.22    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.22            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.22    (21)   ~ (e13 = e11)
% 245.23/49.22    (22)  op1(e13, e12) = e10
% 245.23/49.22    (23)   ~ (e11 = e10)
% 245.23/49.22    (24)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.23/49.22            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.23/49.22            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.23/49.22    (25)   ~ (e13 = e12)
% 245.23/49.22    (26)  op1(e13, e13) = e11
% 245.23/49.22    (27)   ~ (all_14_13 = e13)
% 245.23/49.22    (28)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.22              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.22            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.22    (29)   ~ (e12 = e10)
% 245.23/49.22    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.22            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.22            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.22    (31)  all_25_0 = e10
% 245.23/49.22    (32)  op1(e11, e11) = all_14_18
% 245.23/49.22    (33)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.22            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.22            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.22    (34)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.22            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.22    (35)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.22            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.22    (36)   ~ (e14 = e12)
% 245.23/49.22    (37)   ~ (all_14_18 = e13)
% 245.23/49.22    (38)  all_25_17 = e13
% 245.23/49.22  
% 245.23/49.22  Begin of proof
% 245.23/49.22  | 
% 245.23/49.22  | ALPHA: (9) implies:
% 245.23/49.22  |   (39)  all_25_1 = e14
% 245.23/49.22  | 
% 245.23/49.22  | COMBINE_EQS: (5), (39) imply:
% 245.23/49.22  |   (40)  e14 = e12
% 245.23/49.22  | 
% 245.23/49.22  | SIMP: (40) implies:
% 245.23/49.22  |   (41)  e14 = e12
% 245.23/49.22  | 
% 245.23/49.22  | COMBINE_EQS: (7), (41) imply:
% 245.23/49.22  |   (42)  all_25_20 = e12
% 245.23/49.22  | 
% 245.23/49.22  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (11), (12), (13), (14),
% 245.23/49.22  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.23/49.22  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.23/49.22  |            (37), (38), (42) are inconsistent by sub-proof #930.
% 245.23/49.22  | 
% 245.23/49.22  End of proof
% 245.23/49.22  
% 245.23/49.22  Sub-proof #930 shows that the following formulas are inconsistent:
% 245.23/49.22  ----------------------------------------------------------------
% 245.23/49.22    (1)  op1(e11, e10) = all_14_23
% 245.23/49.22    (2)   ~ (e14 = e10)
% 245.23/49.22    (3)  all_25_2 = e12
% 245.23/49.22    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.22           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.22           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.22    (5)  all_25_1 = e12
% 245.23/49.22    (6)  all_25_6 = e11
% 245.23/49.22    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.22           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.22           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.22    (8)   ~ (e12 = e11)
% 245.23/49.22    (9)   ~ (e14 = e11)
% 245.23/49.22    (10)  all_25_3 = e11
% 245.23/49.22    (11)  op1(e10, e13) = e13
% 245.23/49.22    (12)   ~ (e13 = e10)
% 245.23/49.22    (13)  op1(e11, e12) = all_14_13
% 245.23/49.22    (14)   ~ (e14 = e13)
% 245.23/49.22    (15)  all_25_20 = e12
% 245.23/49.22    (16)  op1(e13, e11) = e14
% 245.23/49.22    (17)   ~ (all_14_23 = e13)
% 245.23/49.22    (18)  all_25_21 = e13
% 245.23/49.22    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.22            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.22    (20)   ~ (e13 = e11)
% 245.23/49.22    (21)  op1(e13, e12) = e10
% 245.23/49.22    (22)   ~ (e11 = e10)
% 245.23/49.22    (23)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.23/49.22            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.23/49.22            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.23/49.22    (24)   ~ (e13 = e12)
% 245.23/49.22    (25)  op1(e13, e13) = e11
% 245.23/49.22    (26)   ~ (all_14_13 = e13)
% 245.23/49.22    (27)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.22              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.22            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.22    (28)   ~ (e12 = e10)
% 245.23/49.22    (29)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.22            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.22            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.22    (30)  all_25_0 = e10
% 245.23/49.22    (31)  op1(e11, e11) = all_14_18
% 245.23/49.22    (32)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.22            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.22            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.22    (33)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.22            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.22    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.22            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.22            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.22    (35)   ~ (e14 = e12)
% 245.23/49.22    (36)   ~ (all_14_18 = e13)
% 245.23/49.22    (37)  all_25_17 = e13
% 245.23/49.22  
% 245.23/49.22  Begin of proof
% 245.23/49.22  | 
% 245.23/49.22  | BETA: splitting (23) gives:
% 245.23/49.22  | 
% 245.23/49.22  | Case 1:
% 245.23/49.22  | | 
% 245.23/49.22  | |   (38)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13,
% 245.23/49.22  | |             e14) = e14)
% 245.23/49.22  | | 
% 245.23/49.22  | | BETA: splitting (38) gives:
% 245.23/49.22  | | 
% 245.23/49.22  | | Case 1:
% 245.23/49.22  | | | 
% 245.23/49.22  | | |   (39)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.23/49.22  | | | 
% 245.23/49.22  | | | REF_CLOSE: (2), (30), (39) are inconsistent by sub-proof #1220.
% 245.23/49.22  | | | 
% 245.23/49.22  | | Case 2:
% 245.23/49.22  | | | 
% 245.23/49.23  | | |   (40)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (4), (8), (12), (14), (16), (19), (20), (21), (24), (25), (28),
% 245.23/49.23  | | |            (29), (35), (40) are inconsistent by sub-proof #1185.
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | Case 2:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (41)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 & op1(e11,
% 245.23/49.23  | |             e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (41) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (42)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (6), (9), (42) are inconsistent by sub-proof #1007.
% 245.23/49.23  | | | 
% 245.23/49.23  | | Case 2:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (43)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.23/49.23  | | |           op1(e10, e14) = e14)
% 245.23/49.23  | | | 
% 245.23/49.23  | | | BETA: splitting (43) gives:
% 245.23/49.23  | | | 
% 245.23/49.23  | | | Case 1:
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | |   (44)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12),
% 245.23/49.23  | | | |            (13), (14), (17), (18), (19), (20), (21), (22), (24), (25),
% 245.23/49.23  | | | |            (26), (27), (28), (29), (31), (32), (33), (34), (35), (36),
% 245.23/49.23  | | | |            (37), (44) are inconsistent by sub-proof #931.
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | Case 2:
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | |   (45)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | | REF_CLOSE: (15), (35), (45) are inconsistent by sub-proof #1190.
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | End of split
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | End of split
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #931 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)  op1(e11, e10) = all_14_23
% 245.23/49.23    (2)   ~ (e14 = e10)
% 245.23/49.23    (3)  all_25_2 = e12
% 245.23/49.23    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.23           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.23           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.23    (5)  all_25_1 = e12
% 245.23/49.23    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.23           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.23           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.23    (7)   ~ (e12 = e11)
% 245.23/49.23    (8)   ~ (e14 = e11)
% 245.23/49.23    (9)  all_25_3 = e11
% 245.23/49.23    (10)  op1(e10, e13) = e13
% 245.23/49.23    (11)   ~ (e13 = e10)
% 245.23/49.23    (12)  op1(e11, e12) = all_14_13
% 245.23/49.23    (13)   ~ (e14 = e13)
% 245.23/49.23    (14)   ~ (all_14_23 = e13)
% 245.23/49.23    (15)  all_25_21 = e13
% 245.23/49.23    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (17)   ~ (e13 = e11)
% 245.23/49.23    (18)  op1(e13, e12) = e10
% 245.23/49.23    (19)   ~ (e11 = e10)
% 245.23/49.23    (20)   ~ (e13 = e12)
% 245.23/49.23    (21)  op1(e13, e13) = e11
% 245.23/49.23    (22)   ~ (all_14_13 = e13)
% 245.23/49.23    (23)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.23              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.23            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.23    (24)   ~ (e12 = e10)
% 245.23/49.23    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.23            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.23            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.23    (26)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.23/49.23    (27)  op1(e11, e11) = all_14_18
% 245.23/49.23    (28)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.23            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.23            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.23    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.23            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.23    (30)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.23            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23    (31)   ~ (e14 = e12)
% 245.23/49.23    (32)   ~ (all_14_18 = e13)
% 245.23/49.23    (33)  all_25_17 = e13
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | ALPHA: (26) implies:
% 245.23/49.23  |   (34)  all_25_12 = e14
% 245.23/49.23  | 
% 245.23/49.23  | BETA: splitting (23) gives:
% 245.23/49.23  | 
% 245.23/49.23  | Case 1:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (35)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 &
% 245.23/49.23  | |           op1(e11, e13) = e13)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (35) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (36)  all_25_12 = e13 & op1(e11, e14) = e13
% 245.23/49.23  | | | 
% 245.23/49.23  | | | ALPHA: (36) implies:
% 245.23/49.23  | | |   (37)  all_25_12 = e13
% 245.23/49.23  | | | 
% 245.23/49.23  | | | COMBINE_EQS: (34), (37) imply:
% 245.23/49.23  | | |   (38)  e14 = e13
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REDUCE: (13), (38) imply:
% 245.23/49.23  | | |   (39)  $false
% 245.23/49.23  | | | 
% 245.23/49.23  | | | CLOSE: (39) is inconsistent.
% 245.23/49.23  | | | 
% 245.23/49.23  | | Case 2:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (40)  all_25_13 = e13 & op1(e11, e13) = e13
% 245.23/49.23  | | | 
% 245.23/49.23  | | | ALPHA: (40) implies:
% 245.23/49.23  | | |   (41)  all_25_13 = e13
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 245.23/49.23  | | |            (16), (17), (18), (19), (20), (21), (24), (25), (28), (29),
% 245.23/49.23  | | |            (30), (31), (33), (41) are inconsistent by sub-proof #1247.
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | Case 2:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (42)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 = e13 &
% 245.23/49.23  | |           op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.23  | | 
% 245.23/49.23  | | REF_CLOSE: (1), (12), (14), (16), (22), (27), (32), (42) are inconsistent by
% 245.23/49.23  | |            sub-proof #950.
% 245.23/49.23  | | 
% 245.23/49.23  | End of split
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #932 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)  op1(e11, e10) = all_14_23
% 245.23/49.23    (2)   ~ (e14 = e10)
% 245.23/49.23    (3)  all_25_2 = e12
% 245.23/49.23    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.23           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.23           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.23    (5)  all_25_1 = e12
% 245.23/49.23    (6)  op1(e14, unit1) = e14
% 245.23/49.23    (7)  all_25_24 = e10
% 245.23/49.23    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.23           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.23           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.23    (9)   ~ (e12 = e11)
% 245.23/49.23    (10)   ~ (e14 = e11)
% 245.23/49.23    (11)  all_25_3 = e11
% 245.23/49.23    (12)  op1(e10, e13) = e13
% 245.23/49.23    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.23/49.23            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.23/49.23            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.23/49.23    (14)   ~ (e13 = e10)
% 245.23/49.23    (15)  op1(e11, e12) = all_14_13
% 245.23/49.23    (16)   ~ (e14 = e13)
% 245.23/49.23    (17)   ~ (all_14_17 = e14)
% 245.23/49.23    (18)  op1(e13, unit1) = e13
% 245.23/49.23    (19)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.23              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.23            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.23    (20)   ~ (all_14_23 = e13)
% 245.23/49.23    (21)  all_25_21 = e13
% 245.23/49.23    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (23)  e14 = e11
% 245.23/49.23    (24)   ~ (e13 = e11)
% 245.23/49.23    (25)  op1(e13, e12) = e10
% 245.23/49.23    (26)  op1(e12, e11) = all_14_17
% 245.23/49.23    (27)   ~ (e11 = e10)
% 245.23/49.23    (28)   ~ (e13 = e12)
% 245.23/49.23    (29)  op1(e13, e13) = e11
% 245.23/49.23    (30)   ~ (all_14_13 = e13)
% 245.23/49.23    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.23              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.23            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.23    (32)   ~ (e12 = e10)
% 245.23/49.23    (33)   ~ (all_14_19 = e14)
% 245.23/49.23    (34)   ~ (all_14_14 = e13)
% 245.23/49.23    (35)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.23            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.23            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.23    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.23            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.23            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.23    (37)  all_25_0 = e10
% 245.23/49.23    (38)  all_25_7 = e14
% 245.23/49.23    (39)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.23              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.23            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.23    (40)   ~ (all_14_19 = e13)
% 245.23/49.23    (41)  op1(e14, e10) = all_14_20
% 245.23/49.23    (42)   ~ (all_14_20 = e12)
% 245.23/49.23    (43)  op1(e10, unit1) = e10
% 245.23/49.23    (44)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.23    (45)  op1(unit1, e14) = e14
% 245.23/49.23    (46)  op1(e14, e12) = all_14_10
% 245.23/49.23    (47)   ~ (all_14_10 = e12)
% 245.23/49.23    (48)  op1(e11, e11) = all_14_18
% 245.23/49.23    (49)   ~ (all_14_19 = e10)
% 245.23/49.23    (50)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.23            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.23            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.23    (51)  all_25_8 = e13
% 245.23/49.23    (52)  op1(unit1, e12) = e12
% 245.23/49.23    (53)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.23              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.23            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.23    (54)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.23            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.23    (55)  op1(e10, e11) = all_14_19
% 245.23/49.23    (56)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.23            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23    (57)  op1(e10, e12) = all_14_14
% 245.23/49.23    (58)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.23              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.23            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.23    (59)  op1(e13, e14) = e12
% 245.23/49.23    (60)   ~ (e14 = e12)
% 245.23/49.23    (61)   ~ (all_14_18 = e13)
% 245.23/49.23    (62)  all_25_17 = e13
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | SIMP: (23) implies:
% 245.23/49.23  |   (63)  e14 = e11
% 245.23/49.23  | 
% 245.23/49.23  | COMBINE_EQS: (38), (63) imply:
% 245.23/49.23  |   (64)  all_25_7 = e11
% 245.23/49.23  | 
% 245.23/49.23  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.23  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 245.23/49.23  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 245.23/49.23  |            (36), (37), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.23/49.23  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 245.23/49.23  |            (59), (60), (61), (62), (64) are inconsistent by sub-proof #933.
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #933 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)  op1(e11, e10) = all_14_23
% 245.23/49.23    (2)   ~ (e14 = e10)
% 245.23/49.23    (3)  all_25_2 = e12
% 245.23/49.23    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.23           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.23           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.23    (5)  all_25_1 = e12
% 245.23/49.23    (6)  op1(e14, unit1) = e14
% 245.23/49.23    (7)  all_25_24 = e10
% 245.23/49.23    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.23           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.23           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.23    (9)   ~ (e12 = e11)
% 245.23/49.23    (10)   ~ (e14 = e11)
% 245.23/49.23    (11)  all_25_3 = e11
% 245.23/49.23    (12)  op1(e10, e13) = e13
% 245.23/49.23    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.23/49.23            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.23/49.23            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.23/49.23    (14)   ~ (e13 = e10)
% 245.23/49.23    (15)  op1(e11, e12) = all_14_13
% 245.23/49.23    (16)   ~ (e14 = e13)
% 245.23/49.23    (17)   ~ (all_14_17 = e14)
% 245.23/49.23    (18)  op1(e13, unit1) = e13
% 245.23/49.23    (19)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.23              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.23            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.23    (20)   ~ (all_14_23 = e13)
% 245.23/49.23    (21)  all_25_21 = e13
% 245.23/49.23    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (23)   ~ (e13 = e11)
% 245.23/49.23    (24)  op1(e13, e12) = e10
% 245.23/49.23    (25)  op1(e12, e11) = all_14_17
% 245.23/49.23    (26)   ~ (e11 = e10)
% 245.23/49.23    (27)   ~ (e13 = e12)
% 245.23/49.23    (28)  op1(e13, e13) = e11
% 245.23/49.23    (29)   ~ (all_14_13 = e13)
% 245.23/49.23    (30)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.23              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.23            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.23    (31)   ~ (e12 = e10)
% 245.23/49.23    (32)   ~ (all_14_19 = e14)
% 245.23/49.23    (33)   ~ (all_14_14 = e13)
% 245.23/49.23    (34)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.23            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.23            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.23    (35)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.23            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.23            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.23    (36)  all_25_0 = e10
% 245.23/49.23    (37)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.23              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.23            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.23    (38)   ~ (all_14_19 = e13)
% 245.23/49.23    (39)  op1(e14, e10) = all_14_20
% 245.23/49.23    (40)  all_25_7 = e11
% 245.23/49.23    (41)   ~ (all_14_20 = e12)
% 245.23/49.23    (42)  op1(e10, unit1) = e10
% 245.23/49.23    (43)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.23    (44)  op1(unit1, e14) = e14
% 245.23/49.23    (45)  op1(e14, e12) = all_14_10
% 245.23/49.23    (46)   ~ (all_14_10 = e12)
% 245.23/49.23    (47)  op1(e11, e11) = all_14_18
% 245.23/49.23    (48)   ~ (all_14_19 = e10)
% 245.23/49.23    (49)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.23            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.23            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.23    (50)  all_25_8 = e13
% 245.23/49.23    (51)  op1(unit1, e12) = e12
% 245.23/49.23    (52)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.23              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.23            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.23    (53)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.23            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.23    (54)  op1(e10, e11) = all_14_19
% 245.23/49.23    (55)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.23            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23    (56)  op1(e10, e12) = all_14_14
% 245.23/49.23    (57)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.23              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.23            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.23    (58)  op1(e13, e14) = e12
% 245.23/49.23    (59)   ~ (e14 = e12)
% 245.23/49.23    (60)   ~ (all_14_18 = e13)
% 245.23/49.23    (61)  all_25_17 = e13
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | BETA: splitting (49) gives:
% 245.23/49.23  | 
% 245.23/49.23  | Case 1:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (62)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.23/49.23  | |             e13) = e10)
% 245.23/49.23  | | 
% 245.23/49.23  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (14), (16), (22), (23), (24),
% 245.23/49.23  | |            (26), (27), (28), (31), (35), (53), (59), (62) are inconsistent
% 245.23/49.23  | |            by sub-proof #1279.
% 245.23/49.23  | | 
% 245.23/49.23  | Case 2:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (63)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.23/49.23  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (63) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (64)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.23/49.23  | | | 
% 245.23/49.23  | | | ALPHA: (64) implies:
% 245.23/49.23  | | |   (65)  all_25_7 = e10
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.23/49.23  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.23/49.23  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 245.23/49.23  | | |            (33), (34), (35), (36), (37), (38), (39), (41), (42), (43),
% 245.23/49.23  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 245.23/49.23  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (65) are
% 245.23/49.23  | | |            inconsistent by sub-proof #936.
% 245.23/49.23  | | | 
% 245.23/49.23  | | Case 2:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (66)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.23/49.23  | | |           op1(e10, e13) = e10)
% 245.23/49.23  | | | 
% 245.23/49.23  | | | BETA: splitting (66) gives:
% 245.23/49.23  | | | 
% 245.23/49.23  | | | Case 1:
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | |   (67)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | | ALPHA: (67) implies:
% 245.23/49.23  | | | |   (68)  all_25_13 = e10
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | | REF_CLOSE: (2), (5), (10), (11), (12), (16), (22), (40), (55), (59),
% 245.23/49.23  | | | |            (68) are inconsistent by sub-proof #935.
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | Case 2:
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | |   (69)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | | REF_CLOSE: (2), (3), (4), (10), (11), (14), (16), (21), (22), (23),
% 245.23/49.23  | | | |            (24), (27), (28), (53), (59), (61), (69) are inconsistent by
% 245.23/49.23  | | | |            sub-proof #934.
% 245.23/49.23  | | | | 
% 245.23/49.23  | | | End of split
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | End of split
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #934 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)   ~ (e14 = e10)
% 245.23/49.23    (2)  all_25_2 = e12
% 245.23/49.23    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.23           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.23           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.23    (4)   ~ (e14 = e11)
% 245.23/49.23    (5)  all_25_3 = e11
% 245.23/49.23    (6)   ~ (e13 = e10)
% 245.23/49.23    (7)   ~ (e14 = e13)
% 245.23/49.23    (8)  all_25_21 = e13
% 245.23/49.23    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (10)   ~ (e13 = e11)
% 245.23/49.23    (11)  op1(e13, e12) = e10
% 245.23/49.23    (12)   ~ (e13 = e12)
% 245.23/49.23    (13)  op1(e13, e13) = e11
% 245.23/49.23    (14)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.23/49.23    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.23            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.23    (16)   ~ (e14 = e12)
% 245.23/49.23    (17)  all_25_17 = e13
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | ALPHA: (14) implies:
% 245.23/49.23  |   (18)  all_25_21 = e10
% 245.23/49.23  | 
% 245.23/49.23  | COMBINE_EQS: (8), (18) imply:
% 245.23/49.23  |   (19)  e13 = e10
% 245.23/49.23  | 
% 245.23/49.23  | SIMP: (19) implies:
% 245.23/49.23  |   (20)  e13 = e10
% 245.23/49.23  | 
% 245.23/49.23  | COMBINE_EQS: (17), (20) imply:
% 245.23/49.23  |   (21)  all_25_17 = e10
% 245.23/49.23  | 
% 245.23/49.23  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 245.23/49.23  |            (15), (16), (21) are inconsistent by sub-proof #1277.
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #935 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)   ~ (e14 = e10)
% 245.23/49.23    (2)  all_25_1 = e12
% 245.23/49.23    (3)   ~ (e14 = e11)
% 245.23/49.23    (4)  all_25_3 = e11
% 245.23/49.23    (5)  op1(e10, e13) = e13
% 245.23/49.23    (6)   ~ (e14 = e13)
% 245.23/49.23    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (8)  all_25_13 = e10
% 245.23/49.23    (9)  all_25_7 = e11
% 245.23/49.23    (10)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.23            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23    (11)   ~ (e14 = e12)
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | BETA: splitting (10) gives:
% 245.23/49.23  | 
% 245.23/49.23  | Case 1:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.23/49.23  | |             e13) = e14)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (12) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (13)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (2), (11), (13) are inconsistent by sub-proof #1292.
% 245.23/49.23  | | | 
% 245.23/49.23  | | Case 2:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (14)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #1291.
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | Case 2:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (15)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.23/49.23  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (15) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (16)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | ALPHA: (16) implies:
% 245.23/49.23  | | |   (17)  all_25_7 = e14
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (3), (9), (17) are inconsistent by sub-proof #1114.
% 245.23/49.23  | | | 
% 245.23/49.23  | | Case 2:
% 245.23/49.23  | | | 
% 245.23/49.23  | | |   (18)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.23/49.23  | | |           op1(e10, e13) = e14)
% 245.23/49.23  | | | 
% 245.23/49.23  | | | REF_CLOSE: (1), (5), (6), (7), (8), (18) are inconsistent by sub-proof
% 245.23/49.23  | | |            #1273.
% 245.23/49.23  | | | 
% 245.23/49.23  | | End of split
% 245.23/49.23  | | 
% 245.23/49.23  | End of split
% 245.23/49.23  | 
% 245.23/49.23  End of proof
% 245.23/49.23  
% 245.23/49.23  Sub-proof #936 shows that the following formulas are inconsistent:
% 245.23/49.23  ----------------------------------------------------------------
% 245.23/49.23    (1)  op1(e11, e10) = all_14_23
% 245.23/49.23    (2)   ~ (e14 = e10)
% 245.23/49.23    (3)  all_25_2 = e12
% 245.23/49.23    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.23           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.23           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.23    (5)  all_25_1 = e12
% 245.23/49.23    (6)  op1(e14, unit1) = e14
% 245.23/49.23    (7)  all_25_24 = e10
% 245.23/49.23    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.23           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.23           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.23    (9)   ~ (e12 = e11)
% 245.23/49.23    (10)   ~ (e14 = e11)
% 245.23/49.23    (11)  all_25_3 = e11
% 245.23/49.23    (12)  op1(e10, e13) = e13
% 245.23/49.23    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.23/49.23            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.23/49.23            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.23/49.23    (14)   ~ (e13 = e10)
% 245.23/49.23    (15)  op1(e11, e12) = all_14_13
% 245.23/49.23    (16)   ~ (e14 = e13)
% 245.23/49.23    (17)   ~ (all_14_17 = e14)
% 245.23/49.23    (18)  op1(e13, unit1) = e13
% 245.23/49.23    (19)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.23              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.23            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.23    (20)   ~ (all_14_23 = e13)
% 245.23/49.23    (21)  all_25_21 = e13
% 245.23/49.23    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.23            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.23    (23)   ~ (e13 = e11)
% 245.23/49.23    (24)  op1(e13, e12) = e10
% 245.23/49.23    (25)  op1(e12, e11) = all_14_17
% 245.23/49.23    (26)   ~ (e11 = e10)
% 245.23/49.23    (27)   ~ (e13 = e12)
% 245.23/49.23    (28)  op1(e13, e13) = e11
% 245.23/49.23    (29)  all_25_7 = e10
% 245.23/49.23    (30)   ~ (all_14_13 = e13)
% 245.23/49.23    (31)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.23/49.23              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.23/49.23            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.23/49.23    (32)   ~ (e12 = e10)
% 245.23/49.23    (33)   ~ (all_14_19 = e14)
% 245.23/49.23    (34)   ~ (all_14_14 = e13)
% 245.23/49.23    (35)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.23/49.23            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.23/49.23            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.23/49.23    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.23            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.23            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.23    (37)  all_25_0 = e10
% 245.23/49.23    (38)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.23/49.23              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.23/49.23            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.23/49.23    (39)   ~ (all_14_19 = e13)
% 245.23/49.23    (40)  op1(e14, e10) = all_14_20
% 245.23/49.23    (41)   ~ (all_14_20 = e12)
% 245.23/49.23    (42)  op1(e10, unit1) = e10
% 245.23/49.23    (43)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.23    (44)  op1(unit1, e14) = e14
% 245.23/49.23    (45)  op1(e14, e12) = all_14_10
% 245.23/49.23    (46)   ~ (all_14_10 = e12)
% 245.23/49.23    (47)  op1(e11, e11) = all_14_18
% 245.23/49.23    (48)   ~ (all_14_19 = e10)
% 245.23/49.23    (49)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.23/49.23            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.23/49.23            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.23/49.23    (50)  all_25_8 = e13
% 245.23/49.23    (51)  op1(unit1, e12) = e12
% 245.23/49.23    (52)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.23/49.23              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.23/49.23            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.23/49.23    (53)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.23            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.23    (54)  op1(e10, e11) = all_14_19
% 245.23/49.23    (55)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.23            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.23            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.23    (56)  op1(e10, e12) = all_14_14
% 245.23/49.23    (57)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.23              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.23            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.23    (58)  op1(e13, e14) = e12
% 245.23/49.23    (59)   ~ (e14 = e12)
% 245.23/49.23    (60)   ~ (all_14_18 = e13)
% 245.23/49.23    (61)  all_25_17 = e13
% 245.23/49.23  
% 245.23/49.23  Begin of proof
% 245.23/49.23  | 
% 245.23/49.23  | BETA: splitting (55) gives:
% 245.23/49.23  | 
% 245.23/49.23  | Case 1:
% 245.23/49.23  | | 
% 245.23/49.23  | |   (62)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.23/49.23  | |             e13) = e14)
% 245.23/49.23  | | 
% 245.23/49.23  | | BETA: splitting (62) gives:
% 245.23/49.23  | | 
% 245.23/49.23  | | Case 1:
% 245.23/49.23  | | | 
% 245.23/49.24  | | |   (63)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (5), (59), (63) are inconsistent by sub-proof #1292.
% 245.23/49.24  | | | 
% 245.23/49.24  | | Case 2:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (64)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (10), (11), (64) are inconsistent by sub-proof #1291.
% 245.23/49.24  | | | 
% 245.23/49.24  | | End of split
% 245.23/49.24  | | 
% 245.23/49.24  | Case 2:
% 245.23/49.24  | | 
% 245.23/49.24  | |   (65)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.23/49.24  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.24  | | 
% 245.23/49.24  | | BETA: splitting (65) gives:
% 245.23/49.24  | | 
% 245.23/49.24  | | Case 1:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (66)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.23/49.24  | | | 
% 245.23/49.24  | | | ALPHA: (66) implies:
% 245.23/49.24  | | |   (67)  all_25_7 = e14
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (2), (29), (67) are inconsistent by sub-proof #1251.
% 245.23/49.24  | | | 
% 245.23/49.24  | | Case 2:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (68)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.23/49.24  | | |           op1(e10, e13) = e14)
% 245.23/49.24  | | | 
% 245.23/49.24  | | | BETA: splitting (68) gives:
% 245.23/49.24  | | | 
% 245.23/49.24  | | | Case 1:
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | |   (69)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | ALPHA: (69) implies:
% 245.23/49.24  | | | |   (70)  all_25_13 = e14
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | BETA: splitting (13) gives:
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | Case 1:
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | |   (71)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 &
% 245.23/49.24  | | | | |           op1(e12, e13) = e14)
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | | BETA: splitting (71) gives:
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | | Case 1:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | |   (72)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | ALPHA: (72) implies:
% 245.23/49.24  | | | | | |   (73)  all_25_6 = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | BETA: splitting (35) gives:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | Case 1:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | |   (74)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 &
% 245.23/49.24  | | | | | | |           op1(e13, e14) = e11)
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | BETA: splitting (74) gives:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | Case 1:
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | |   (75)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | | REF_CLOSE: (26), (37), (75) are inconsistent by sub-proof #1222.
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | Case 2:
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | |   (76)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | | REF_CLOSE: (3), (9), (76) are inconsistent by sub-proof #1189.
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | End of split
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | Case 2:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | |   (77)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11
% 245.23/49.24  | | | | | | |           & op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10,
% 245.23/49.24  | | | | | | |             e14) = e11)
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | BETA: splitting (77) gives:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | Case 1:
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | |   (78)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (16), (22), (29), (55),
% 245.23/49.24  | | | | | | | |            (59), (70), (73), (78) are inconsistent by sub-proof
% 245.23/49.24  | | | | | | | |            #942.
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | Case 2:
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | |   (79)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 =
% 245.23/49.24  | | | | | | | |           e11 & op1(e10, e14) = e11)
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11),
% 245.23/49.24  | | | | | | | |            (12), (14), (15), (16), (18), (20), (21), (22), (23),
% 245.23/49.24  | | | | | | | |            (24), (26), (27), (28), (30), (31), (32), (33), (34),
% 245.23/49.24  | | | | | | | |            (36), (38), (39), (42), (43), (44), (47), (48), (49),
% 245.23/49.24  | | | | | | | |            (51), (52), (53), (54), (55), (56), (58), (59), (60),
% 245.23/49.24  | | | | | | | |            (61), (79) are inconsistent by sub-proof #946.
% 245.23/49.24  | | | | | | | | 
% 245.23/49.24  | | | | | | | End of split
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | End of split
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | Case 2:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | |   (80)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | ALPHA: (80) implies:
% 245.23/49.24  | | | | | |   (81)  all_25_7 = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | REF_CLOSE: (2), (29), (81) are inconsistent by sub-proof #1251.
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | End of split
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | Case 2:
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | |   (82)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.23/49.24  | | | | |           op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) =
% 245.23/49.24  | | | | |           e14)
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | | BETA: splitting (82) gives:
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | | Case 1:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | |   (83)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | ALPHA: (83) implies:
% 245.23/49.24  | | | | | |   (84)  all_25_8 = e14
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | COMBINE_EQS: (50), (84) imply:
% 245.23/49.24  | | | | | |   (85)  e14 = e13
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | SIMP: (85) implies:
% 245.23/49.24  | | | | | |   (86)  e14 = e13
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | COMBINE_EQS: (70), (86) imply:
% 245.23/49.24  | | | | | |   (87)  all_25_13 = e13
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | REF_CLOSE: (2), (5), (10), (11), (12), (16), (22), (29), (55), (59),
% 245.23/49.24  | | | | | |            (87) are inconsistent by sub-proof #1249.
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | Case 2:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | |   (88)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 245.23/49.24  | | | | | |           op1(e12, e10) = e14)
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | BETA: splitting (88) gives:
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | | Case 1:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | |   (89)  all_25_11 = e14 & op1(e12, e11) = e14
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | REF_CLOSE: (17), (22), (25), (89) are inconsistent by sub-proof
% 245.23/49.24  | | | | | | |            #1162.
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | Case 2:
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | |   (90)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | ALPHA: (90) implies:
% 245.23/49.24  | | | | | | |   (91)  all_25_18 = e14
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.23/49.24  | | | | | | |            (12), (14), (16), (18), (19), (22), (23), (24), (26),
% 245.23/49.24  | | | | | | |            (27), (28), (29), (32), (36), (40), (41), (42), (43),
% 245.23/49.24  | | | | | | |            (45), (46), (48), (51), (53), (54), (55), (57), (58),
% 245.23/49.24  | | | | | | |            (59), (61), (70), (91) are inconsistent by sub-proof
% 245.23/49.24  | | | | | | |            #937.
% 245.23/49.24  | | | | | | | 
% 245.23/49.24  | | | | | | End of split
% 245.23/49.24  | | | | | | 
% 245.23/49.24  | | | | | End of split
% 245.23/49.24  | | | | | 
% 245.23/49.24  | | | | End of split
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | Case 2:
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | |   (92)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | ALPHA: (92) implies:
% 245.23/49.24  | | | |   (93)  op1(e10, e13) = e14
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | REF_CLOSE: (12), (16), (22), (93) are inconsistent by sub-proof #1274.
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | End of split
% 245.23/49.24  | | | 
% 245.23/49.24  | | End of split
% 245.23/49.24  | | 
% 245.23/49.24  | End of split
% 245.23/49.24  | 
% 245.23/49.24  End of proof
% 245.23/49.24  
% 245.23/49.24  Sub-proof #937 shows that the following formulas are inconsistent:
% 245.23/49.24  ----------------------------------------------------------------
% 245.23/49.24    (1)   ~ (e14 = e10)
% 245.23/49.24    (2)  all_25_2 = e12
% 245.23/49.24    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.23/49.24           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.23/49.24           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.23/49.24    (4)  all_25_1 = e12
% 245.23/49.24    (5)  op1(e14, unit1) = e14
% 245.23/49.24    (6)  all_25_24 = e10
% 245.23/49.24    (7)  all_25_18 = e14
% 245.23/49.24    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.23/49.24           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.23/49.24           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.23/49.24    (9)   ~ (e12 = e11)
% 245.23/49.24    (10)   ~ (e14 = e11)
% 245.23/49.24    (11)  all_25_3 = e11
% 245.23/49.24    (12)  op1(e10, e13) = e13
% 245.23/49.24    (13)   ~ (e13 = e10)
% 245.23/49.24    (14)   ~ (e14 = e13)
% 245.23/49.24    (15)  all_25_13 = e14
% 245.23/49.24    (16)  op1(e13, unit1) = e13
% 245.23/49.24    (17)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.24              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.24            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.24    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.24            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.24    (19)   ~ (e13 = e11)
% 245.23/49.24    (20)  op1(e13, e12) = e10
% 245.23/49.24    (21)   ~ (e11 = e10)
% 245.23/49.24    (22)   ~ (e13 = e12)
% 245.23/49.24    (23)  op1(e13, e13) = e11
% 245.23/49.24    (24)  all_25_7 = e10
% 245.23/49.24    (25)   ~ (e12 = e10)
% 245.23/49.24    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.23/49.24            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.23/49.24            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.23/49.24    (27)  op1(e14, e10) = all_14_20
% 245.23/49.24    (28)   ~ (all_14_20 = e12)
% 245.23/49.24    (29)  op1(e10, unit1) = e10
% 245.23/49.24    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.24    (31)  op1(e14, e12) = all_14_10
% 245.23/49.24    (32)   ~ (all_14_10 = e12)
% 245.23/49.24    (33)   ~ (all_14_19 = e10)
% 245.23/49.24    (34)  op1(unit1, e12) = e12
% 245.23/49.24    (35)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.24            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.23/49.24            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.23/49.24    (36)  op1(e10, e11) = all_14_19
% 245.23/49.24    (37)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.23/49.24            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.23/49.24            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.23/49.24    (38)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.23/49.24              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.23/49.24            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.24    (39)  op1(e13, e14) = e12
% 245.23/49.24    (40)   ~ (e14 = e12)
% 245.23/49.24    (41)  all_25_17 = e13
% 245.23/49.24  
% 245.23/49.24  Begin of proof
% 245.23/49.24  | 
% 245.23/49.24  | BETA: splitting (38) gives:
% 245.23/49.24  | 
% 245.23/49.24  | Case 1:
% 245.23/49.24  | | 
% 245.23/49.24  | |   (42)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 &
% 245.23/49.24  | |           op1(e13, e10) = e12)
% 245.23/49.24  | | 
% 245.23/49.24  | | REF_CLOSE: (13), (16), (18), (20), (22), (27), (28), (29), (30), (31), (32),
% 245.23/49.24  | |            (33), (34), (36), (42) are inconsistent by sub-proof #1224.
% 245.23/49.24  | | 
% 245.23/49.24  | Case 2:
% 245.23/49.24  | | 
% 245.23/49.24  | |   (43)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 = e12 &
% 245.23/49.24  | |           op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.23/49.24  | | 
% 245.23/49.24  | | BETA: splitting (43) gives:
% 245.23/49.24  | | 
% 245.23/49.24  | | Case 1:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (44)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.23/49.24  | | | 
% 245.23/49.24  | | | ALPHA: (44) implies:
% 245.23/49.24  | | |   (45)  all_25_18 = e12
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (1), (4), (7), (10), (11), (12), (14), (15), (18), (24), (37),
% 245.23/49.24  | | |            (40), (45) are inconsistent by sub-proof #1161.
% 245.23/49.24  | | | 
% 245.23/49.24  | | Case 2:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (46)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 245.23/49.24  | | |           op1(e10, e10) = e12)
% 245.23/49.24  | | | 
% 245.23/49.24  | | | BETA: splitting (46) gives:
% 245.23/49.24  | | | 
% 245.23/49.24  | | | Case 1:
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | |   (47)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | ALPHA: (47) implies:
% 245.23/49.24  | | | |   (48)  all_25_19 = e12
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | REF_CLOSE: (5), (6), (7), (9), (10), (13), (16), (17), (18), (19), (20),
% 245.23/49.24  | | | |            (21), (22), (29), (30), (33), (36), (39), (41), (48) are
% 245.23/49.24  | | | |            inconsistent by sub-proof #938.
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | Case 2:
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | |   (49)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (10), (13), (14), (18), (19),
% 245.23/49.24  | | | |            (20), (21), (22), (23), (25), (26), (35), (40), (49) are
% 245.23/49.24  | | | |            inconsistent by sub-proof #1261.
% 245.23/49.24  | | | | 
% 245.23/49.24  | | | End of split
% 245.23/49.24  | | | 
% 245.23/49.24  | | End of split
% 245.23/49.24  | | 
% 245.23/49.24  | End of split
% 245.23/49.24  | 
% 245.23/49.24  End of proof
% 245.23/49.24  
% 245.23/49.24  Sub-proof #938 shows that the following formulas are inconsistent:
% 245.23/49.24  ----------------------------------------------------------------
% 245.23/49.24    (1)  all_25_19 = e12
% 245.23/49.24    (2)  op1(e14, unit1) = e14
% 245.23/49.24    (3)  all_25_24 = e10
% 245.23/49.24    (4)  all_25_18 = e14
% 245.23/49.24    (5)   ~ (e12 = e11)
% 245.23/49.24    (6)   ~ (e14 = e11)
% 245.23/49.24    (7)   ~ (e13 = e10)
% 245.23/49.24    (8)  op1(e13, unit1) = e13
% 245.23/49.24    (9)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.23/49.24             e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.23/49.24           e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.24    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.23/49.24            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.23/49.24    (11)   ~ (e13 = e11)
% 245.23/49.24    (12)  op1(e13, e12) = e10
% 245.23/49.24    (13)   ~ (e11 = e10)
% 245.23/49.24    (14)   ~ (e13 = e12)
% 245.23/49.24    (15)  op1(e10, unit1) = e10
% 245.23/49.24    (16)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.23/49.24    (17)   ~ (all_14_19 = e10)
% 245.23/49.24    (18)  op1(e10, e11) = all_14_19
% 245.23/49.24    (19)  op1(e13, e14) = e12
% 245.23/49.24    (20)  all_25_17 = e13
% 245.23/49.24  
% 245.23/49.24  Begin of proof
% 245.23/49.24  | 
% 245.23/49.24  | BETA: splitting (9) gives:
% 245.23/49.24  | 
% 245.23/49.24  | Case 1:
% 245.23/49.24  | | 
% 245.23/49.24  | |   (21)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 245.23/49.24  | |           op1(e13, e10) = e11)
% 245.23/49.24  | | 
% 245.23/49.24  | | BETA: splitting (21) gives:
% 245.23/49.24  | | 
% 245.23/49.24  | | Case 1:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (22)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (2), (6), (7), (8), (10), (12), (14), (15), (16), (17), (18),
% 245.23/49.24  | | |            (19), (22) are inconsistent by sub-proof #941.
% 245.23/49.24  | | | 
% 245.23/49.24  | | Case 2:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (23)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.23/49.24  | | | 
% 245.23/49.24  | | | REF_CLOSE: (11), (20), (23) are inconsistent by sub-proof #940.
% 245.23/49.24  | | | 
% 245.23/49.24  | | End of split
% 245.23/49.24  | | 
% 245.23/49.24  | Case 2:
% 245.23/49.24  | | 
% 245.23/49.24  | |   (24)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 245.23/49.24  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.23/49.24  | | 
% 245.23/49.24  | | BETA: splitting (24) gives:
% 245.23/49.24  | | 
% 245.23/49.24  | | Case 1:
% 245.23/49.24  | | | 
% 245.23/49.24  | | |   (25)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.23/49.24  | | | 
% 245.23/49.24  | | | ALPHA: (25) implies:
% 245.23/49.24  | | |   (26)  all_25_18 = e11
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (4), (6), (26) are inconsistent by sub-proof #939.
% 245.31/49.24  | | | 
% 245.31/49.24  | | Case 2:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (27)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 245.31/49.24  | | |           op1(e10, e10) = e11)
% 245.31/49.24  | | | 
% 245.31/49.24  | | | BETA: splitting (27) gives:
% 245.31/49.24  | | | 
% 245.31/49.24  | | | Case 1:
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | |   (28)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REF_CLOSE: (1), (5), (28) are inconsistent by sub-proof #1046.
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | Case 2:
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | |   (29)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REF_CLOSE: (3), (13), (29) are inconsistent by sub-proof #1259.
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | End of split
% 245.31/49.24  | | | 
% 245.31/49.24  | | End of split
% 245.31/49.24  | | 
% 245.31/49.24  | End of split
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #939 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  all_25_18 = e14
% 245.31/49.24    (2)  all_25_18 = e11
% 245.31/49.24    (3)   ~ (e14 = e11)
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (1), (2) imply:
% 245.31/49.24  |   (4)  e14 = e11
% 245.31/49.24  | 
% 245.31/49.24  | SIMP: (4) implies:
% 245.31/49.24  |   (5)  e14 = e11
% 245.31/49.24  | 
% 245.31/49.24  | REDUCE: (3), (5) imply:
% 245.31/49.24  |   (6)  $false
% 245.31/49.24  | 
% 245.31/49.24  | CLOSE: (6) is inconsistent.
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #940 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.31/49.24    (2)  all_25_17 = e13
% 245.31/49.24    (3)   ~ (e13 = e11)
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | ALPHA: (1) implies:
% 245.31/49.24  |   (4)  all_25_17 = e11
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (2), (4) imply:
% 245.31/49.24  |   (5)  e13 = e11
% 245.31/49.24  | 
% 245.31/49.24  | REDUCE: (3), (5) imply:
% 245.31/49.24  |   (6)  $false
% 245.31/49.24  | 
% 245.31/49.24  | CLOSE: (6) is inconsistent.
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #941 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.31/49.24    (2)  op1(e14, unit1) = e14
% 245.31/49.24    (3)   ~ (e14 = e11)
% 245.31/49.24    (4)   ~ (e13 = e10)
% 245.31/49.24    (5)  op1(e13, unit1) = e13
% 245.31/49.24    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.24           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.24    (7)  op1(e13, e12) = e10
% 245.31/49.24    (8)   ~ (e13 = e12)
% 245.31/49.24    (9)  op1(e10, unit1) = e10
% 245.31/49.24    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.24    (11)   ~ (all_14_19 = e10)
% 245.31/49.24    (12)  op1(e10, e11) = all_14_19
% 245.31/49.24    (13)  op1(e13, e14) = e12
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | ALPHA: (1) implies:
% 245.31/49.24  |   (14)  op1(e14, e10) = e11
% 245.31/49.24  | 
% 245.31/49.24  | BETA: splitting (10) gives:
% 245.31/49.24  | 
% 245.31/49.24  | Case 1:
% 245.31/49.24  | | 
% 245.31/49.24  | |   (15)  unit1 = e14
% 245.31/49.24  | | 
% 245.31/49.24  | | REDUCE: (5), (15) imply:
% 245.31/49.24  | |   (16)  op1(e13, e14) = e13
% 245.31/49.24  | | 
% 245.31/49.24  | | REF_CLOSE: (6), (8), (13), (16) are inconsistent by sub-proof #1227.
% 245.31/49.24  | | 
% 245.31/49.24  | Case 2:
% 245.31/49.24  | | 
% 245.31/49.24  | |   (17)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.24  | | 
% 245.31/49.24  | | BETA: splitting (17) gives:
% 245.31/49.24  | | 
% 245.31/49.24  | | Case 1:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (18)  unit1 = e12
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REDUCE: (5), (18) imply:
% 245.31/49.24  | | |   (19)  op1(e13, e12) = e13
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (4), (6), (7), (19) are inconsistent by sub-proof #1334.
% 245.31/49.24  | | | 
% 245.31/49.24  | | Case 2:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (20)  unit1 = e11 | unit1 = e10
% 245.31/49.24  | | | 
% 245.31/49.24  | | | BETA: splitting (20) gives:
% 245.31/49.24  | | | 
% 245.31/49.24  | | | Case 1:
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | |   (21)  unit1 = e11
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REDUCE: (9), (21) imply:
% 245.31/49.24  | | | |   (22)  op1(e10, e11) = e10
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REF_CLOSE: (6), (11), (12), (22) are inconsistent by sub-proof #1267.
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | Case 2:
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | |   (23)  unit1 = e10
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REDUCE: (2), (23) imply:
% 245.31/49.24  | | | |   (24)  op1(e14, e10) = e14
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | GROUND_INST: instantiating (6) with e11, e14, e10, e14, simplifying with
% 245.31/49.24  | | | |              (14), (24) gives:
% 245.31/49.24  | | | |   (25)  e14 = e11
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | REDUCE: (3), (25) imply:
% 245.31/49.24  | | | |   (26)  $false
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | | CLOSE: (26) is inconsistent.
% 245.31/49.24  | | | | 
% 245.31/49.24  | | | End of split
% 245.31/49.24  | | | 
% 245.31/49.24  | | End of split
% 245.31/49.24  | | 
% 245.31/49.24  | End of split
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #942 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  all_25_6 = e14
% 245.31/49.24    (2)   ~ (e14 = e10)
% 245.31/49.24    (3)  all_25_1 = e12
% 245.31/49.24    (4)   ~ (e14 = e11)
% 245.31/49.24    (5)  all_25_3 = e11
% 245.31/49.24    (6)  op1(e10, e13) = e13
% 245.31/49.24    (7)   ~ (e14 = e13)
% 245.31/49.24    (8)  all_25_13 = e14
% 245.31/49.24    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.24           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.24    (10)  all_25_7 = e10
% 245.31/49.24    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.24            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.31/49.24            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.31/49.24    (12)   ~ (e14 = e12)
% 245.31/49.24    (13)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | ALPHA: (13) implies:
% 245.31/49.24  |   (14)  all_25_6 = e11
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (1), (14) imply:
% 245.31/49.24  |   (15)  e14 = e11
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (8), (15) imply:
% 245.31/49.24  |   (16)  all_25_13 = e11
% 245.31/49.24  | 
% 245.31/49.24  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (16) are
% 245.31/49.24  |            inconsistent by sub-proof #1169.
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #943 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)   ~ (e14 = e10)
% 245.31/49.24    (2)  all_25_2 = e12
% 245.31/49.24    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.24           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.24           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.24    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.31/49.24           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.31/49.24           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.31/49.24    (5)   ~ (e12 = e11)
% 245.31/49.24    (6)   ~ (e14 = e11)
% 245.31/49.24    (7)   ~ (e13 = e10)
% 245.31/49.24    (8)   ~ (e14 = e13)
% 245.31/49.24    (9)  all_25_11 = e10
% 245.31/49.24    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.24            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.24    (11)   ~ (e13 = e11)
% 245.31/49.24    (12)  op1(e13, e12) = e10
% 245.31/49.24    (13)   ~ (e11 = e10)
% 245.31/49.24    (14)   ~ (e13 = e12)
% 245.31/49.24    (15)  op1(e13, e13) = e11
% 245.31/49.24    (16)   ~ (e12 = e10)
% 245.31/49.24    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.31/49.24            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.31/49.24            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.24    (18)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.31/49.24    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.24            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.24            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.24    (20)   ~ (e14 = e12)
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | ALPHA: (18) implies:
% 245.31/49.24  |   (21)  all_25_11 = e12
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (9), (21) imply:
% 245.31/49.24  |   (22)  e12 = e10
% 245.31/49.24  | 
% 245.31/49.24  | SIMP: (22) implies:
% 245.31/49.24  |   (23)  e12 = e10
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (2), (23) imply:
% 245.31/49.24  |   (24)  all_25_2 = e10
% 245.31/49.24  | 
% 245.31/49.24  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 245.31/49.24  |            (15), (16), (17), (19), (20), (24) are inconsistent by sub-proof
% 245.31/49.24  |            #1281.
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #944 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.31/49.24    (2)  all_25_8 = e13
% 245.31/49.24    (3)   ~ (e13 = e12)
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | ALPHA: (1) implies:
% 245.31/49.24  |   (4)  all_25_8 = e12
% 245.31/49.24  | 
% 245.31/49.24  | COMBINE_EQS: (2), (4) imply:
% 245.31/49.24  |   (5)  e13 = e12
% 245.31/49.24  | 
% 245.31/49.24  | REDUCE: (3), (5) imply:
% 245.31/49.24  |   (6)  $false
% 245.31/49.24  | 
% 245.31/49.24  | CLOSE: (6) is inconsistent.
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #945 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  op1(e11, e10) = all_14_23
% 245.31/49.24    (2)   ~ (e14 = e10)
% 245.31/49.24    (3)  all_25_2 = e12
% 245.31/49.24    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.24           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.24           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.24    (5)  all_25_1 = e12
% 245.31/49.24    (6)  all_25_24 = e10
% 245.31/49.24    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.31/49.24           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.31/49.24           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.31/49.24    (8)   ~ (e12 = e11)
% 245.31/49.24    (9)   ~ (e14 = e11)
% 245.31/49.24    (10)  all_25_3 = e11
% 245.31/49.24    (11)  op1(e10, e13) = e13
% 245.31/49.24    (12)   ~ (e13 = e10)
% 245.31/49.24    (13)  op1(e11, e12) = all_14_13
% 245.31/49.24    (14)   ~ (e14 = e13)
% 245.31/49.24    (15)  op1(e13, unit1) = e13
% 245.31/49.24    (16)   ~ (all_14_23 = e13)
% 245.31/49.24    (17)  all_25_21 = e13
% 245.31/49.24    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.24            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.24    (19)   ~ (e13 = e11)
% 245.31/49.24    (20)  op1(e13, e12) = e10
% 245.31/49.24    (21)   ~ (e11 = e10)
% 245.31/49.24    (22)   ~ (e13 = e12)
% 245.31/49.24    (23)  op1(e13, e13) = e11
% 245.31/49.24    (24)   ~ (all_14_13 = e13)
% 245.31/49.24    (25)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.31/49.24              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.31/49.24            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.31/49.24    (26)   ~ (e12 = e10)
% 245.31/49.24    (27)   ~ (all_14_19 = e14)
% 245.31/49.24    (28)   ~ (all_14_14 = e13)
% 245.31/49.24    (29)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.31/49.24            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.31/49.24            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.31/49.24    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.31/49.24            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.31/49.24            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.24    (31)  all_25_0 = e10
% 245.31/49.24    (32)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.31/49.24              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.31/49.24            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.24    (33)   ~ (all_14_19 = e13)
% 245.31/49.24    (34)  op1(e10, unit1) = e10
% 245.31/49.24    (35)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.24    (36)  op1(unit1, e14) = e14
% 245.31/49.24    (37)  op1(e11, e11) = all_14_18
% 245.31/49.24    (38)   ~ (all_14_19 = e10)
% 245.31/49.24    (39)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.31/49.24            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.31/49.24            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.31/49.24    (40)  op1(unit1, e12) = e12
% 245.31/49.24    (41)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.31/49.24              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.31/49.24            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.31/49.24    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.24            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.24            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.24    (43)  op1(e10, e11) = all_14_19
% 245.31/49.24    (44)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.24            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.31/49.24            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.31/49.24    (45)  all_25_6 = e12
% 245.31/49.24    (46)  op1(e10, e12) = all_14_14
% 245.31/49.24    (47)  op1(e13, e14) = e12
% 245.31/49.24    (48)   ~ (e14 = e12)
% 245.31/49.24    (49)   ~ (all_14_18 = e13)
% 245.31/49.24    (50)  all_25_17 = e13
% 245.31/49.24  
% 245.31/49.24  Begin of proof
% 245.31/49.24  | 
% 245.31/49.24  | BETA: splitting (29) gives:
% 245.31/49.24  | 
% 245.31/49.24  | Case 1:
% 245.31/49.24  | | 
% 245.31/49.24  | |   (51)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 245.31/49.24  | |             e14) = e11)
% 245.31/49.24  | | 
% 245.31/49.24  | | BETA: splitting (51) gives:
% 245.31/49.24  | | 
% 245.31/49.24  | | Case 1:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (52)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (21), (31), (52) are inconsistent by sub-proof #1222.
% 245.31/49.24  | | | 
% 245.31/49.24  | | Case 2:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (53)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (3), (8), (53) are inconsistent by sub-proof #1189.
% 245.31/49.24  | | | 
% 245.31/49.24  | | End of split
% 245.31/49.24  | | 
% 245.31/49.24  | Case 2:
% 245.31/49.24  | | 
% 245.31/49.24  | |   (54)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 245.31/49.24  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.31/49.24  | | 
% 245.31/49.24  | | BETA: splitting (54) gives:
% 245.31/49.24  | | 
% 245.31/49.24  | | Case 1:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (55)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (8), (45), (55) are inconsistent by sub-proof #980.
% 245.31/49.24  | | | 
% 245.31/49.24  | | Case 2:
% 245.31/49.24  | | | 
% 245.31/49.24  | | |   (56)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.31/49.24  | | |           op1(e10, e14) = e11)
% 245.31/49.24  | | | 
% 245.31/49.24  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.31/49.24  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.31/49.24  | | |            (23), (24), (25), (26), (27), (28), (30), (32), (33), (34),
% 245.31/49.24  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 245.31/49.24  | | |            (46), (47), (48), (49), (50), (56) are inconsistent by
% 245.31/49.24  | | |            sub-proof #946.
% 245.31/49.24  | | | 
% 245.31/49.24  | | End of split
% 245.31/49.24  | | 
% 245.31/49.24  | End of split
% 245.31/49.24  | 
% 245.31/49.24  End of proof
% 245.31/49.24  
% 245.31/49.24  Sub-proof #946 shows that the following formulas are inconsistent:
% 245.31/49.24  ----------------------------------------------------------------
% 245.31/49.24    (1)  op1(e11, e10) = all_14_23
% 245.31/49.24    (2)   ~ (e14 = e10)
% 245.31/49.24    (3)  all_25_2 = e12
% 245.31/49.24    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.24           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.24           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.24    (5)  all_25_1 = e12
% 245.31/49.24    (6)  all_25_24 = e10
% 245.31/49.24    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.31/49.24           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.31/49.24           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.31/49.24    (8)   ~ (e12 = e11)
% 245.31/49.24    (9)   ~ (e14 = e11)
% 245.31/49.24    (10)  all_25_3 = e11
% 245.31/49.24    (11)  op1(e10, e13) = e13
% 245.31/49.24    (12)   ~ (e13 = e10)
% 245.31/49.24    (13)  op1(e11, e12) = all_14_13
% 245.31/49.24    (14)   ~ (e14 = e13)
% 245.31/49.25    (15)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10,
% 245.31/49.25              e14) = e11)
% 245.31/49.25    (16)  op1(e13, unit1) = e13
% 245.31/49.25    (17)   ~ (all_14_23 = e13)
% 245.31/49.25    (18)  all_25_21 = e13
% 245.31/49.25    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (20)   ~ (e13 = e11)
% 245.31/49.25    (21)  op1(e13, e12) = e10
% 245.31/49.25    (22)   ~ (e11 = e10)
% 245.31/49.25    (23)   ~ (e13 = e12)
% 245.31/49.25    (24)  op1(e13, e13) = e11
% 245.31/49.25    (25)   ~ (all_14_13 = e13)
% 245.31/49.25    (26)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.31/49.25              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.31/49.25            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.31/49.25    (27)   ~ (e12 = e10)
% 245.31/49.25    (28)   ~ (all_14_19 = e14)
% 245.31/49.25    (29)   ~ (all_14_14 = e13)
% 245.31/49.25    (30)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.31/49.25            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.31/49.25            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.25    (31)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.31/49.25              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.31/49.25            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.25    (32)   ~ (all_14_19 = e13)
% 245.31/49.25    (33)  op1(e10, unit1) = e10
% 245.31/49.25    (34)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.25    (35)  op1(unit1, e14) = e14
% 245.31/49.25    (36)  op1(e11, e11) = all_14_18
% 245.31/49.25    (37)   ~ (all_14_19 = e10)
% 245.31/49.25    (38)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.31/49.25            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.31/49.25            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.31/49.25    (39)  op1(unit1, e12) = e12
% 245.31/49.25    (40)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.31/49.25              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.31/49.25            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.31/49.25    (41)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.25    (42)  op1(e10, e11) = all_14_19
% 245.31/49.25    (43)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.31/49.25            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.31/49.25    (44)  op1(e10, e12) = all_14_14
% 245.31/49.25    (45)  op1(e13, e14) = e12
% 245.31/49.25    (46)   ~ (e14 = e12)
% 245.31/49.25    (47)   ~ (all_14_18 = e13)
% 245.31/49.25    (48)  all_25_17 = e13
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (15) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (49)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.31/49.25  | | 
% 245.31/49.25  | | ALPHA: (49) implies:
% 245.31/49.25  | |   (50)  all_25_12 = e11
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.31/49.25  | |            (14), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 245.31/49.25  | |            (27), (30), (36), (38), (41), (43), (46), (47), (48), (50) are
% 245.31/49.25  | |            inconsistent by sub-proof #949.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (51)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.31/49.25  | | 
% 245.31/49.25  | | ALPHA: (51) implies:
% 245.31/49.25  | |   (52)  all_25_20 = e11
% 245.31/49.25  | |   (53)  op1(e10, e14) = e11
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (12), (14), (16), (19), (20),
% 245.31/49.25  | |            (21), (23), (24), (28), (29), (31), (32), (33), (34), (35), (37),
% 245.31/49.25  | |            (39), (40), (41), (42), (44), (45), (46), (48), (52), (53) are
% 245.31/49.25  | |            inconsistent by sub-proof #947.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #947 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ~ (e14 = e10)
% 245.31/49.25    (2)  all_25_2 = e12
% 245.31/49.25    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.25    (4)  all_25_24 = e10
% 245.31/49.25    (5)  all_25_20 = e11
% 245.31/49.25    (6)   ~ (e12 = e11)
% 245.31/49.25    (7)   ~ (e14 = e11)
% 245.31/49.25    (8)  all_25_3 = e11
% 245.31/49.25    (9)   ~ (e13 = e10)
% 245.31/49.25    (10)   ~ (e14 = e13)
% 245.31/49.25    (11)  op1(e10, e14) = e11
% 245.31/49.25    (12)  op1(e13, unit1) = e13
% 245.31/49.25    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (14)   ~ (e13 = e11)
% 245.31/49.25    (15)  op1(e13, e12) = e10
% 245.31/49.25    (16)   ~ (e13 = e12)
% 245.31/49.25    (17)  op1(e13, e13) = e11
% 245.31/49.25    (18)   ~ (all_14_19 = e14)
% 245.31/49.25    (19)   ~ (all_14_14 = e13)
% 245.31/49.25    (20)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.31/49.25              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.31/49.25            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.25    (21)   ~ (all_14_19 = e13)
% 245.31/49.25    (22)  op1(e10, unit1) = e10
% 245.31/49.25    (23)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.25    (24)  op1(unit1, e14) = e14
% 245.31/49.25    (25)   ~ (all_14_19 = e10)
% 245.31/49.25    (26)  op1(unit1, e12) = e12
% 245.31/49.25    (27)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.31/49.25              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.31/49.25            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.31/49.25    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.25    (29)  op1(e10, e11) = all_14_19
% 245.31/49.25    (30)  op1(e10, e12) = all_14_14
% 245.31/49.25    (31)  op1(e13, e14) = e12
% 245.31/49.25    (32)   ~ (e14 = e12)
% 245.31/49.25    (33)  all_25_17 = e13
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (20) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (34)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 245.31/49.25  | |           op1(e10, e13) = e14)
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (13), (14), (15),
% 245.31/49.25  | |            (16), (17), (19), (21), (27), (28), (29), (30), (32), (33), (34)
% 245.31/49.25  | |            are inconsistent by sub-proof #948.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (35)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 245.31/49.25  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.25  | | 
% 245.31/49.25  | | BETA: splitting (35) gives:
% 245.31/49.25  | | 
% 245.31/49.25  | | Case 1:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (36)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.31/49.25  | | | 
% 245.31/49.25  | | | ALPHA: (36) implies:
% 245.31/49.25  | | |   (37)  op1(e10, e12) = e14
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REF_CLOSE: (6), (9), (11), (12), (13), (15), (16), (22), (23), (24), (25),
% 245.31/49.25  | | |            (26), (29), (31), (37) are inconsistent by sub-proof #1203.
% 245.31/49.25  | | | 
% 245.31/49.25  | | Case 2:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (38)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 245.31/49.25  | | |           op1(e10, e10) = e14)
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REF_CLOSE: (1), (4), (13), (18), (29), (38) are inconsistent by sub-proof
% 245.31/49.25  | | |            #1207.
% 245.31/49.25  | | | 
% 245.31/49.25  | | End of split
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #948 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ~ (e14 = e10)
% 245.31/49.25    (2)  all_25_2 = e12
% 245.31/49.25    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.25    (4)  all_25_24 = e10
% 245.31/49.25    (5)  all_25_20 = e11
% 245.31/49.25    (6)   ~ (e14 = e11)
% 245.31/49.25    (7)  all_25_3 = e11
% 245.31/49.25    (8)   ~ (e13 = e10)
% 245.31/49.25    (9)   ~ (e14 = e13)
% 245.31/49.25    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (11)   ~ (e13 = e11)
% 245.31/49.25    (12)  op1(e13, e12) = e10
% 245.31/49.25    (13)   ~ (e13 = e12)
% 245.31/49.25    (14)  op1(e13, e13) = e11
% 245.31/49.25    (15)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.31/49.25              e13) = e14)
% 245.31/49.25    (16)   ~ (all_14_14 = e13)
% 245.31/49.25    (17)   ~ (all_14_19 = e13)
% 245.31/49.25    (18)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.31/49.25              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.31/49.25            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.31/49.25    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.25    (20)  op1(e10, e11) = all_14_19
% 245.31/49.25    (21)  op1(e10, e12) = all_14_14
% 245.31/49.25    (22)   ~ (e14 = e12)
% 245.31/49.25    (23)  all_25_17 = e13
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (15) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (24)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.31/49.25  | | 
% 245.31/49.25  | | ALPHA: (24) implies:
% 245.31/49.25  | |   (25)  all_25_20 = e14
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (5), (6), (25) are inconsistent by sub-proof #1001.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (26)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.31/49.25  | | 
% 245.31/49.25  | | ALPHA: (26) implies:
% 245.31/49.25  | |   (27)  op1(e10, e13) = e14
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.31/49.25  | |            (13), (14), (16), (17), (18), (19), (20), (21), (22), (23), (27)
% 245.31/49.25  | |            are inconsistent by sub-proof #1181.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #949 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  op1(e11, e10) = all_14_23
% 245.31/49.25    (2)   ~ (e14 = e10)
% 245.31/49.25    (3)  all_25_2 = e12
% 245.31/49.25    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.25    (5)  all_25_1 = e12
% 245.31/49.25    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.31/49.25           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.31/49.25           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.31/49.25    (7)   ~ (e12 = e11)
% 245.31/49.25    (8)   ~ (e14 = e11)
% 245.31/49.25    (9)  all_25_3 = e11
% 245.31/49.25    (10)  op1(e10, e13) = e13
% 245.31/49.25    (11)   ~ (e13 = e10)
% 245.31/49.25    (12)  op1(e11, e12) = all_14_13
% 245.31/49.25    (13)   ~ (e14 = e13)
% 245.31/49.25    (14)   ~ (all_14_23 = e13)
% 245.31/49.25    (15)  all_25_21 = e13
% 245.31/49.25    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (17)   ~ (e13 = e11)
% 245.31/49.25    (18)  op1(e13, e12) = e10
% 245.31/49.25    (19)   ~ (e11 = e10)
% 245.31/49.25    (20)   ~ (e13 = e12)
% 245.31/49.25    (21)  op1(e13, e13) = e11
% 245.31/49.25    (22)   ~ (all_14_13 = e13)
% 245.31/49.25    (23)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 & op1(e11,
% 245.31/49.25              e13) = e13) | (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 =
% 245.31/49.25            e13 & op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.31/49.25    (24)   ~ (e12 = e10)
% 245.31/49.25    (25)  all_25_12 = e11
% 245.31/49.25    (26)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.31/49.25            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.31/49.25            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.25    (27)  op1(e11, e11) = all_14_18
% 245.31/49.25    (28)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.31/49.25            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.31/49.25            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.31/49.25    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.25    (30)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.31/49.25            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.31/49.25    (31)   ~ (e14 = e12)
% 245.31/49.25    (32)   ~ (all_14_18 = e13)
% 245.31/49.25    (33)  all_25_17 = e13
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (23) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (34)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_13 = e13 &
% 245.31/49.25  | |           op1(e11, e13) = e13)
% 245.31/49.25  | | 
% 245.31/49.25  | | BETA: splitting (34) gives:
% 245.31/49.25  | | 
% 245.31/49.25  | | Case 1:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (35)  all_25_12 = e13 & op1(e11, e14) = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | ALPHA: (35) implies:
% 245.31/49.25  | | |   (36)  all_25_12 = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | COMBINE_EQS: (25), (36) imply:
% 245.31/49.25  | | |   (37)  e13 = e11
% 245.31/49.25  | | | 
% 245.31/49.25  | | | SIMP: (37) implies:
% 245.31/49.25  | | |   (38)  e13 = e11
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REDUCE: (17), (38) imply:
% 245.31/49.25  | | |   (39)  $false
% 245.31/49.25  | | | 
% 245.31/49.25  | | | CLOSE: (39) is inconsistent.
% 245.31/49.25  | | | 
% 245.31/49.25  | | Case 2:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (40)  all_25_13 = e13 & op1(e11, e13) = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | ALPHA: (40) implies:
% 245.31/49.25  | | |   (41)  all_25_13 = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 245.31/49.25  | | |            (16), (17), (18), (19), (20), (21), (24), (26), (28), (29),
% 245.31/49.25  | | |            (30), (31), (33), (41) are inconsistent by sub-proof #1247.
% 245.31/49.25  | | | 
% 245.31/49.25  | | End of split
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (42)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 = e13 &
% 245.31/49.25  | |           op1(e11, e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (12), (14), (16), (22), (27), (32), (42) are inconsistent by
% 245.31/49.25  | |            sub-proof #950.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #950 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  op1(e11, e10) = all_14_23
% 245.31/49.25    (2)  op1(e11, e12) = all_14_13
% 245.31/49.25    (3)   ~ (all_14_23 = e13)
% 245.31/49.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (5)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_15 = e13 & op1(e11,
% 245.31/49.25             e11) = e13) | (all_25_19 = e13 & op1(e11, e10) = e13)
% 245.31/49.25    (6)   ~ (all_14_13 = e13)
% 245.31/49.25    (7)  op1(e11, e11) = all_14_18
% 245.31/49.25    (8)   ~ (all_14_18 = e13)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (5) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (9)  all_25_14 = e13 & op1(e11, e12) = e13
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1244.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (10)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_19 = e13 &
% 245.31/49.25  | |           op1(e11, e10) = e13)
% 245.31/49.25  | | 
% 245.31/49.25  | | BETA: splitting (10) gives:
% 245.31/49.25  | | 
% 245.31/49.25  | | Case 1:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (11)  all_25_15 = e13 & op1(e11, e11) = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REF_CLOSE: (4), (7), (8), (11) are inconsistent by sub-proof #970.
% 245.31/49.25  | | | 
% 245.31/49.25  | | Case 2:
% 245.31/49.25  | | | 
% 245.31/49.25  | | |   (12)  all_25_19 = e13 & op1(e11, e10) = e13
% 245.31/49.25  | | | 
% 245.31/49.25  | | | REF_CLOSE: (1), (3), (4), (12) are inconsistent by sub-proof #951.
% 245.31/49.25  | | | 
% 245.31/49.25  | | End of split
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #951 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  all_25_19 = e13 & op1(e11, e10) = e13
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (3)  op1(e11, e10) = all_14_23
% 245.31/49.25    (4)   ~ (all_14_23 = e13)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | ALPHA: (1) implies:
% 245.31/49.25  |   (5)  op1(e11, e10) = e13
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with all_14_23, e13, e10, e11, simplifying with
% 245.31/49.25  |              (3), (5) gives:
% 245.31/49.25  |   (6)  all_14_23 = e13
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (6) imply:
% 245.31/49.25  |   (7)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (7) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #952 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ~ (e14 = e10)
% 245.31/49.25    (2)  all_25_2 = e12
% 245.31/49.25    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.25           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.25           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.25    (4)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.31/49.25    (5)   ~ (e14 = e11)
% 245.31/49.25    (6)  all_25_3 = e11
% 245.31/49.25    (7)   ~ (e13 = e10)
% 245.31/49.25    (8)   ~ (e14 = e13)
% 245.31/49.25    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.25    (10)   ~ (e13 = e11)
% 245.31/49.25    (11)  op1(e13, e12) = e10
% 245.31/49.25    (12)  all_25_9 = e13
% 245.31/49.25    (13)   ~ (e13 = e12)
% 245.31/49.25    (14)  op1(e13, e13) = e11
% 245.31/49.25    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.25            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.25            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.25    (16)   ~ (e14 = e12)
% 245.31/49.25    (17)  all_25_17 = e13
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | ALPHA: (4) implies:
% 245.31/49.25  |   (18)  all_25_9 = e10
% 245.31/49.25  | 
% 245.31/49.25  | COMBINE_EQS: (12), (18) imply:
% 245.31/49.25  |   (19)  e13 = e10
% 245.31/49.25  | 
% 245.31/49.25  | SIMP: (19) implies:
% 245.31/49.25  |   (20)  e13 = e10
% 245.31/49.25  | 
% 245.31/49.25  | COMBINE_EQS: (17), (20) imply:
% 245.31/49.25  |   (21)  all_25_17 = e10
% 245.31/49.25  | 
% 245.31/49.25  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.31/49.25  |            (15), (16), (21) are inconsistent by sub-proof #1277.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #953 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  all_24_13 = e23 & op2(e21, e23) = e23
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (3)  op2(e21, e23) = all_16_8
% 245.31/49.25    (4)   ~ (all_16_8 = e23)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | ALPHA: (1) implies:
% 245.31/49.25  |   (5)  op2(e21, e23) = e23
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with all_16_8, e23, e23, e21, simplifying with
% 245.31/49.25  |              (3), (5) gives:
% 245.31/49.25  |   (6)  all_16_8 = e23
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (6) imply:
% 245.31/49.25  |   (7)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (7) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #954 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  all_24_7 = e23 & op2(e22, e23) = e23
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (3)  op2(e22, e23) = all_16_7
% 245.31/49.25    (4)   ~ (all_16_7 = e23)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | ALPHA: (1) implies:
% 245.31/49.25  |   (5)  op2(e22, e23) = e23
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with all_16_7, e23, e23, e22, simplifying with
% 245.31/49.25  |              (3), (5) gives:
% 245.31/49.25  |   (6)  all_16_7 = e23
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (6) imply:
% 245.31/49.25  |   (7)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (7) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #955 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ~ (e23 = e21)
% 245.31/49.25    (2)  op2(e23, e23) = e21
% 245.31/49.25    (3)   ~ (e23 = e22)
% 245.31/49.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (5)  op2(e24, e23) = e22
% 245.31/49.25    (6)  (all_24_1 = e23 & op2(e24, e23) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.31/49.25           = e23)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (6) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (7)  all_24_1 = e23 & op2(e24, e23) = e23
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #956.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (8)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.31/49.25  | | 
% 245.31/49.25  | | ALPHA: (8) implies:
% 245.31/49.25  | |   (9)  op2(e23, e23) = e23
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1305.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #956 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  all_24_1 = e23 & op2(e24, e23) = e23
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (3)  op2(e24, e23) = e22
% 245.31/49.25    (4)   ~ (e23 = e22)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | ALPHA: (1) implies:
% 245.31/49.25  |   (5)  op2(e24, e23) = e23
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with e22, e23, e23, e24, simplifying with (3),
% 245.31/49.25  |              (5) gives:
% 245.31/49.25  |   (6)  e23 = e22
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (6) imply:
% 245.31/49.25  |   (7)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (7) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #957 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  op2(e23, e21) = e24
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (3)  op2(e23, e21) = e23
% 245.31/49.25    (4)   ~ (e24 = e23)
% 245.31/49.25    (5)  op2(e23, e21) = all_10_1
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with e24, all_10_1, e21, e23, simplifying with
% 245.31/49.25  |              (1), (5) gives:
% 245.31/49.25  |   (6)  all_10_1 = e24
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (2) with e23, all_10_1, e21, e23, simplifying with
% 245.31/49.25  |              (3), (5) gives:
% 245.31/49.25  |   (7)  all_10_1 = e23
% 245.31/49.25  | 
% 245.31/49.25  | COMBINE_EQS: (6), (7) imply:
% 245.31/49.25  |   (8)  e24 = e23
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (8) imply:
% 245.31/49.25  |   (9)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (9) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #958 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ~ (all_16_1 = e21)
% 245.31/49.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (3)   ~ (all_16_1 = e20)
% 245.31/49.25    (4)   ~ (all_16_1 = e23)
% 245.31/49.25    (5)  op2(e23, e24) = e23
% 245.31/49.25    (6)  all_20_5 = e22 | all_20_5 = e21 | all_20_5 = e20
% 245.31/49.25    (7)  op2(e23, e24) = all_16_1
% 245.31/49.25    (8)  all_20_5 = all_16_1
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (6) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (9)  all_20_5 = e22
% 245.31/49.25  | | 
% 245.31/49.25  | | COMBINE_EQS: (8), (9) imply:
% 245.31/49.25  | |   (10)  all_16_1 = e22
% 245.31/49.25  | | 
% 245.31/49.25  | | REDUCE: (4), (10) imply:
% 245.31/49.25  | |   (11)   ~ (e23 = e22)
% 245.31/49.25  | | 
% 245.31/49.25  | | SIMP: (11) implies:
% 245.31/49.25  | |   (12)   ~ (e23 = e22)
% 245.31/49.25  | | 
% 245.31/49.25  | | REDUCE: (7), (10) imply:
% 245.31/49.25  | |   (13)  op2(e23, e24) = e22
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (2), (5), (12), (13) are inconsistent by sub-proof #965.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (14)  all_20_5 = e21 | all_20_5 = e20
% 245.31/49.25  | | 
% 245.31/49.25  | | REF_CLOSE: (1), (3), (8), (14) are inconsistent by sub-proof #959.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #959 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)  all_20_5 = e21 | all_20_5 = e20
% 245.31/49.25    (2)  all_20_5 = all_16_1
% 245.31/49.25    (3)   ~ (all_16_1 = e21)
% 245.31/49.25    (4)   ~ (all_16_1 = e20)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | BETA: splitting (1) gives:
% 245.31/49.25  | 
% 245.31/49.25  | Case 1:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (5)  all_20_5 = e21
% 245.31/49.25  | | 
% 245.31/49.25  | | COMBINE_EQS: (2), (5) imply:
% 245.31/49.25  | |   (6)  all_16_1 = e21
% 245.31/49.25  | | 
% 245.31/49.25  | | REDUCE: (3), (6) imply:
% 245.31/49.25  | |   (7)  $false
% 245.31/49.25  | | 
% 245.31/49.25  | | CLOSE: (7) is inconsistent.
% 245.31/49.25  | | 
% 245.31/49.25  | Case 2:
% 245.31/49.25  | | 
% 245.31/49.25  | |   (8)  all_20_5 = e20
% 245.31/49.25  | | 
% 245.31/49.25  | | COMBINE_EQS: (2), (8) imply:
% 245.31/49.25  | |   (9)  all_16_1 = e20
% 245.31/49.25  | | 
% 245.31/49.25  | | REDUCE: (4), (9) imply:
% 245.31/49.25  | |   (10)  $false
% 245.31/49.25  | | 
% 245.31/49.25  | | CLOSE: (10) is inconsistent.
% 245.31/49.25  | | 
% 245.31/49.25  | End of split
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #960 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (2)  op2(e20, e21) = all_16_19
% 245.31/49.25    (3)  op2(e20, e21) = e20
% 245.31/49.25    (4)   ~ (all_16_19 = e20)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (1) with all_16_19, e20, e21, e20, simplifying with
% 245.31/49.25  |              (2), (3) gives:
% 245.31/49.25  |   (5)  all_16_19 = e20
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (5) imply:
% 245.31/49.25  |   (6)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (6) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #961 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (2)  op2(e20, e22) = all_16_14
% 245.31/49.25    (3)  op2(e20, e22) = e20
% 245.31/49.25    (4)   ~ (all_16_14 = e20)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (1) with all_16_14, e20, e22, e20, simplifying with
% 245.31/49.25  |              (2), (3) gives:
% 245.31/49.25  |   (5)  all_16_14 = e20
% 245.31/49.25  | 
% 245.31/49.25  | REDUCE: (4), (5) imply:
% 245.31/49.25  |   (6)  $false
% 245.31/49.25  | 
% 245.31/49.25  | CLOSE: (6) is inconsistent.
% 245.31/49.25  | 
% 245.31/49.25  End of proof
% 245.31/49.25  
% 245.31/49.25  Sub-proof #962 shows that the following formulas are inconsistent:
% 245.31/49.25  ----------------------------------------------------------------
% 245.31/49.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.25           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.25    (2)  op2(e20, e24) = all_16_4
% 245.31/49.25    (3)  op2(e20, e24) = e20
% 245.31/49.25    (4)   ~ (all_16_4 = e20)
% 245.31/49.25  
% 245.31/49.25  Begin of proof
% 245.31/49.25  | 
% 245.31/49.25  | GROUND_INST: instantiating (1) with all_16_4, e20, e24, e20, simplifying with
% 245.31/49.25  |              (2), (3) gives:
% 245.31/49.25  |   (5)  all_16_4 = e20
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (5) imply:
% 245.31/49.26  |   (6)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (6) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #963 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  op2(e23, e21) = e22
% 245.31/49.26    (2)  op2(e23, e21) = e24
% 245.31/49.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.26    (4)   ~ (e24 = e22)
% 245.31/49.26    (5)  op2(e23, e21) = all_10_1
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (3) with e24, all_10_1, e21, e23, simplifying with
% 245.31/49.26  |              (2), (5) gives:
% 245.31/49.26  |   (6)  all_10_1 = e24
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (3) with e22, all_10_1, e21, e23, simplifying with
% 245.31/49.26  |              (1), (5) gives:
% 245.31/49.26  |   (7)  all_10_1 = e22
% 245.31/49.26  | 
% 245.31/49.26  | COMBINE_EQS: (6), (7) imply:
% 245.31/49.26  |   (8)  e24 = e22
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (8) imply:
% 245.31/49.26  |   (9)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (9) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #964 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  op2(e23, e23) = e21
% 245.31/49.26    (2)   ~ (e23 = e22)
% 245.31/49.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.26    (4)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.31/49.26           = e22)
% 245.31/49.26    (5)   ~ (e22 = e21)
% 245.31/49.26    (6)  op2(e23, e24) = e23
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | BETA: splitting (4) gives:
% 245.31/49.26  | 
% 245.31/49.26  | Case 1:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (7)  all_24_2 = e22 & op2(e23, e24) = e22
% 245.31/49.26  | | 
% 245.31/49.26  | | ALPHA: (7) implies:
% 245.31/49.26  | |   (8)  op2(e23, e24) = e22
% 245.31/49.26  | | 
% 245.31/49.26  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #965.
% 245.31/49.26  | | 
% 245.31/49.26  | Case 2:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (9)  all_24_3 = e22 & op2(e23, e23) = e22
% 245.31/49.26  | | 
% 245.31/49.26  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1331.
% 245.31/49.26  | | 
% 245.31/49.26  | End of split
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #965 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.31/49.26    (2)  op2(e23, e24) = e23
% 245.31/49.26    (3)  op2(e23, e24) = e22
% 245.31/49.26    (4)   ~ (e23 = e22)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (1) with e22, e23, e24, e23, simplifying with (2),
% 245.31/49.26  |              (3) gives:
% 245.31/49.26  |   (5)  e23 = e22
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (5) imply:
% 245.31/49.26  |   (6)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (6) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #966 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ~ (e14 = e10)
% 245.31/49.26    (2)  all_25_1 = e12
% 245.31/49.26    (3)   ~ (e12 = e11)
% 245.31/49.26    (4)   ~ (e14 = e11)
% 245.31/49.26    (5)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.31/49.26           = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.31/49.26           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.31/49.26    (6)   ~ (e13 = e10)
% 245.31/49.26    (7)   ~ (e14 = e13)
% 245.31/49.26    (8)  op1(e14, e11) = all_14_15
% 245.31/49.26    (9)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.31/49.26           = e13)
% 245.31/49.26    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (11)   ~ (e13 = e11)
% 245.31/49.26    (12)  op1(e13, e12) = e10
% 245.31/49.26    (13)   ~ (e11 = e10)
% 245.31/49.26    (14)  all_25_9 = e13
% 245.31/49.26    (15)  all_25_0 = e10
% 245.31/49.26    (16)   ~ (all_14_15 = e14)
% 245.31/49.26    (17)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.31/49.26            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.31/49.26            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.31/49.26    (18)   ~ (e14 = e12)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | BETA: splitting (9) gives:
% 245.31/49.26  | 
% 245.31/49.26  | Case 1:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (19)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.31/49.26  | | 
% 245.31/49.26  | | ALPHA: (19) implies:
% 245.31/49.26  | |   (20)  all_25_4 = e13
% 245.31/49.26  | | 
% 245.31/49.26  | | BETA: splitting (5) gives:
% 245.31/49.26  | | 
% 245.31/49.26  | | Case 1:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (21)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 245.31/49.26  | | |           op1(e14, e13) = e11)
% 245.31/49.26  | | | 
% 245.31/49.26  | | | BETA: splitting (21) gives:
% 245.31/49.26  | | | 
% 245.31/49.26  | | | Case 1:
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | |   (22)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | | REF_CLOSE: (13), (15), (22) are inconsistent by sub-proof #1222.
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | Case 2:
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | |   (23)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | | REF_CLOSE: (2), (3), (23) are inconsistent by sub-proof #1240.
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | End of split
% 245.31/49.26  | | | 
% 245.31/49.26  | | Case 2:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (24)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.31/49.26  | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.31/49.26  | | | 
% 245.31/49.26  | | | BETA: splitting (24) gives:
% 245.31/49.26  | | | 
% 245.31/49.26  | | | Case 1:
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | |   (25)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | | REF_CLOSE: (11), (20), (25) are inconsistent by sub-proof #1221.
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | Case 2:
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | |   (26)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.31/49.26  | | | |           op1(e14, e10) = e11)
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | | BETA: splitting (26) gives:
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | | Case 1:
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | |   (27)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | | REF_CLOSE: (11), (14), (27) are inconsistent by sub-proof #967.
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | Case 2:
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | |   (28)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | | ALPHA: (28) implies:
% 245.31/49.26  | | | | |   (29)  all_25_16 = e11
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | | REF_CLOSE: (1), (2), (4), (7), (8), (10), (15), (16), (17), (18),
% 245.31/49.26  | | | | |            (20), (29) are inconsistent by sub-proof #1219.
% 245.31/49.26  | | | | | 
% 245.31/49.26  | | | | End of split
% 245.31/49.26  | | | | 
% 245.31/49.26  | | | End of split
% 245.31/49.26  | | | 
% 245.31/49.26  | | End of split
% 245.31/49.26  | | 
% 245.31/49.26  | Case 2:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (30)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.31/49.26  | | 
% 245.31/49.26  | | ALPHA: (30) implies:
% 245.31/49.26  | |   (31)  op1(e13, e12) = e13
% 245.31/49.26  | | 
% 245.31/49.26  | | REF_CLOSE: (6), (10), (12), (31) are inconsistent by sub-proof #1334.
% 245.31/49.26  | | 
% 245.31/49.26  | End of split
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #967 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.31/49.26    (2)  all_25_9 = e13
% 245.31/49.26    (3)   ~ (e13 = e11)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | ALPHA: (1) implies:
% 245.31/49.26  |   (4)  all_25_9 = e11
% 245.31/49.26  | 
% 245.31/49.26  | COMBINE_EQS: (2), (4) imply:
% 245.31/49.26  |   (5)  e13 = e11
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (3), (5) imply:
% 245.31/49.26  |   (6)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (6) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #968 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.31/49.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (3)  op1(e14, e12) = all_14_10
% 245.31/49.26    (4)   ~ (all_14_10 = e13)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | ALPHA: (1) implies:
% 245.31/49.26  |   (5)  op1(e14, e12) = e13
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (2) with all_14_10, e13, e12, e14, simplifying with
% 245.31/49.26  |              (3), (5) gives:
% 245.31/49.26  |   (6)  all_14_10 = e13
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (6) imply:
% 245.31/49.26  |   (7)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (7) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #969 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (2)  op1(e12, e11) = all_14_17
% 245.31/49.26    (3)  (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 = e13 & op1(e11,
% 245.31/49.26             e11) = e13) | (all_25_23 = e13 & op1(e10, e11) = e13)
% 245.31/49.26    (4)   ~ (all_14_19 = e13)
% 245.31/49.26    (5)  op1(e11, e11) = all_14_18
% 245.31/49.26    (6)  op1(e10, e11) = all_14_19
% 245.31/49.26    (7)   ~ (all_14_17 = e13)
% 245.31/49.26    (8)   ~ (all_14_18 = e13)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | BETA: splitting (3) gives:
% 245.31/49.26  | 
% 245.31/49.26  | Case 1:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (9)  all_25_11 = e13 & op1(e12, e11) = e13
% 245.31/49.26  | | 
% 245.31/49.26  | | REF_CLOSE: (1), (2), (7), (9) are inconsistent by sub-proof #1228.
% 245.31/49.26  | | 
% 245.31/49.26  | Case 2:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (10)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_23 = e13 &
% 245.31/49.26  | |           op1(e10, e11) = e13)
% 245.31/49.26  | | 
% 245.31/49.26  | | BETA: splitting (10) gives:
% 245.31/49.26  | | 
% 245.31/49.26  | | Case 1:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (11)  all_25_15 = e13 & op1(e11, e11) = e13
% 245.31/49.26  | | | 
% 245.31/49.26  | | | REF_CLOSE: (1), (5), (8), (11) are inconsistent by sub-proof #970.
% 245.31/49.26  | | | 
% 245.31/49.26  | | Case 2:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (12)  all_25_23 = e13 & op1(e10, e11) = e13
% 245.31/49.26  | | | 
% 245.31/49.26  | | | REF_CLOSE: (1), (4), (6), (12) are inconsistent by sub-proof #1253.
% 245.31/49.26  | | | 
% 245.31/49.26  | | End of split
% 245.31/49.26  | | 
% 245.31/49.26  | End of split
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #970 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  all_25_15 = e13 & op1(e11, e11) = e13
% 245.31/49.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (3)  op1(e11, e11) = all_14_18
% 245.31/49.26    (4)   ~ (all_14_18 = e13)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | ALPHA: (1) implies:
% 245.31/49.26  |   (5)  op1(e11, e11) = e13
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (2) with all_14_18, e13, e11, e11, simplifying with
% 245.31/49.26  |              (3), (5) gives:
% 245.31/49.26  |   (6)  all_14_18 = e13
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (6) imply:
% 245.31/49.26  |   (7)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (7) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #971 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ~ (all_14_10 = e10)
% 245.31/49.26    (2)   ~ (e14 = e10)
% 245.31/49.26    (3)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14, e11)
% 245.31/49.26           = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.31/49.26    (4)  all_25_2 = e12
% 245.31/49.26    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.26           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.26           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.26    (6)   ~ (e14 = e11)
% 245.31/49.26    (7)  all_25_3 = e11
% 245.31/49.26    (8)   ~ (e13 = e10)
% 245.31/49.26    (9)   ~ (e14 = e13)
% 245.31/49.26    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (11)   ~ (e13 = e11)
% 245.31/49.26    (12)  op1(e13, e12) = e10
% 245.31/49.26    (13)  all_25_9 = e13
% 245.31/49.26    (14)   ~ (e13 = e12)
% 245.31/49.26    (15)  op1(e13, e13) = e11
% 245.31/49.26    (16)  op1(e14, e10) = all_14_20
% 245.31/49.26    (17)  op1(e14, e12) = all_14_10
% 245.31/49.26    (18)   ~ (all_14_20 = e10)
% 245.31/49.26    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.26            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.26            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.26    (20)   ~ (e14 = e12)
% 245.31/49.26    (21)  all_25_17 = e13
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | BETA: splitting (3) gives:
% 245.31/49.26  | 
% 245.31/49.26  | Case 1:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (22)  all_25_4 = e10 & op1(e14, e12) = e10
% 245.31/49.26  | | 
% 245.31/49.26  | | ALPHA: (22) implies:
% 245.31/49.26  | |   (23)  op1(e14, e12) = e10
% 245.31/49.26  | | 
% 245.31/49.26  | | REF_CLOSE: (1), (10), (17), (23) are inconsistent by sub-proof #973.
% 245.31/49.26  | | 
% 245.31/49.26  | Case 2:
% 245.31/49.26  | | 
% 245.31/49.26  | |   (24)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14,
% 245.31/49.26  | |             e10) = e10)
% 245.31/49.26  | | 
% 245.31/49.26  | | BETA: splitting (24) gives:
% 245.31/49.26  | | 
% 245.31/49.26  | | Case 1:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (25)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.31/49.26  | | | 
% 245.31/49.26  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.31/49.26  | | |            (14), (15), (19), (20), (21), (25) are inconsistent by
% 245.31/49.26  | | |            sub-proof #972.
% 245.31/49.26  | | | 
% 245.31/49.26  | | Case 2:
% 245.31/49.26  | | | 
% 245.31/49.26  | | |   (26)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.31/49.26  | | | 
% 245.31/49.26  | | | REF_CLOSE: (10), (16), (18), (26) are inconsistent by sub-proof #1232.
% 245.31/49.26  | | | 
% 245.31/49.26  | | End of split
% 245.31/49.26  | | 
% 245.31/49.26  | End of split
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #972 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ~ (e14 = e10)
% 245.31/49.26    (2)  all_25_2 = e12
% 245.31/49.26    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.26           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.26           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.26    (4)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.31/49.26    (5)   ~ (e14 = e11)
% 245.31/49.26    (6)  all_25_3 = e11
% 245.31/49.26    (7)   ~ (e13 = e10)
% 245.31/49.26    (8)   ~ (e14 = e13)
% 245.31/49.26    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (10)   ~ (e13 = e11)
% 245.31/49.26    (11)  op1(e13, e12) = e10
% 245.31/49.26    (12)  all_25_9 = e13
% 245.31/49.26    (13)   ~ (e13 = e12)
% 245.31/49.26    (14)  op1(e13, e13) = e11
% 245.31/49.26    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.31/49.26            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.31/49.26            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.26    (16)   ~ (e14 = e12)
% 245.31/49.26    (17)  all_25_17 = e13
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | ALPHA: (4) implies:
% 245.31/49.26  |   (18)  all_25_9 = e10
% 245.31/49.26  | 
% 245.31/49.26  | COMBINE_EQS: (12), (18) imply:
% 245.31/49.26  |   (19)  e13 = e10
% 245.31/49.26  | 
% 245.31/49.26  | COMBINE_EQS: (17), (19) imply:
% 245.31/49.26  |   (20)  all_25_17 = e10
% 245.31/49.26  | 
% 245.31/49.26  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.31/49.26  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #973 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (2)  op1(e14, e12) = all_14_10
% 245.31/49.26    (3)  op1(e14, e12) = e10
% 245.31/49.26    (4)   ~ (all_14_10 = e10)
% 245.31/49.26  
% 245.31/49.26  Begin of proof
% 245.31/49.26  | 
% 245.31/49.26  | GROUND_INST: instantiating (1) with all_14_10, e10, e12, e14, simplifying with
% 245.31/49.26  |              (2), (3) gives:
% 245.31/49.26  |   (5)  all_14_10 = e10
% 245.31/49.26  | 
% 245.31/49.26  | REDUCE: (4), (5) imply:
% 245.31/49.26  |   (6)  $false
% 245.31/49.26  | 
% 245.31/49.26  | CLOSE: (6) is inconsistent.
% 245.31/49.26  | 
% 245.31/49.26  End of proof
% 245.31/49.26  
% 245.31/49.26  Sub-proof #974 shows that the following formulas are inconsistent:
% 245.31/49.26  ----------------------------------------------------------------
% 245.31/49.26    (1)  (all_25_12 = e12 & op1(e11, e14) = e12) | (all_25_13 = e12 & op1(e11,
% 245.31/49.26             e13) = e12) | (all_25_14 = e12 & op1(e11, e12) = e12) | (all_25_15 =
% 245.31/49.26           e12 & op1(e11, e11) = e12) | (all_25_19 = e12 & op1(e11, e10) = e12)
% 245.31/49.26    (2)  all_18_10 = e14 | all_18_10 = e13 | all_18_10 = e12 | all_18_10 = e11 |
% 245.31/49.26         all_18_10 = e10
% 245.31/49.26    (3)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.31/49.26             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.31/49.26           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.31/49.26    (4)  op1(e11, e10) = all_14_23
% 245.31/49.26    (5)  all_18_10 = all_14_2
% 245.31/49.26    (6)  op1(e12, e13) = all_14_7
% 245.31/49.26    (7)   ~ (all_14_15 = all_14_17)
% 245.31/49.26    (8)   ~ (e14 = e10)
% 245.31/49.26    (9)  op1(e10, e13) = all_14_9
% 245.31/49.26    (10)   ~ (all_14_22 = e10)
% 245.31/49.26    (11)  all_25_2 = e12
% 245.31/49.26    (12)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.31/49.26            = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.31/49.26            op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.31/49.26    (13)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13,
% 245.31/49.26              e11) = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 =
% 245.31/49.26            e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.31/49.26    (14)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.31/49.26            op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.31/49.26              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.31/49.26            $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 245.31/49.26            &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 245.31/49.26            op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14)
% 245.31/49.26            = all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 245.31/49.26          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) &
% 245.31/49.26            op1(all_23_33, e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.31/49.26              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) &
% 245.31/49.26            $i(all_23_32) & $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10)
% 245.31/49.26            &  ~ (all_23_46 = all_23_47) & op1(all_23_47, e14) = all_23_6 &
% 245.31/49.26            op1(all_23_47, e10) = e14 & op1(e14, e10) = all_23_47 & op1(e10, e14)
% 245.31/49.26            = all_23_46 & $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.31/49.26          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) &
% 245.31/49.26            op1(all_23_10, e14) = e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.31/49.26              e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_8) &
% 245.31/49.26            $i(all_23_10) & $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 =
% 245.31/49.26              e12) &  ~ (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12
% 245.31/49.26            & op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12,
% 245.31/49.26              e13) = all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.31/49.26          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 245.31/49.26            op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.31/49.26              e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 245.31/49.26            $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 245.31/49.26              e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16
% 245.31/49.26            & op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10,
% 245.31/49.26              e13) = all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.31/49.26          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 245.31/49.26            op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.31/49.26              e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 245.31/49.26            $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 245.31/49.26              e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 245.31/49.26            op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 245.31/49.26              e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 245.31/49.26          (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 245.31/49.26            op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.31/49.26              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 245.31/49.26            $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 245.31/49.26              e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28
% 245.31/49.26            & op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10,
% 245.31/49.26              e12) = all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 245.31/49.26          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 245.31/49.26            op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.31/49.26              e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 245.31/49.26            $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 245.31/49.26              e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 245.31/49.26            op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 245.31/49.26              e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.31/49.26          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 245.31/49.26            op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.31/49.26              e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 245.31/49.26            $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 245.31/49.26              e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42
% 245.31/49.26            & op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10,
% 245.31/49.26              e11) = all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.31/49.26          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 245.31/49.26            op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.31/49.26              e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 245.31/49.26            $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 245.31/49.26              e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 245.31/49.26            op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 245.31/49.26              e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.31/49.26          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 245.31/49.26            op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.31/49.26              e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 245.31/49.26            $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 245.31/49.26              e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 245.31/49.26            op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 245.31/49.26              e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.31/49.26    (15)  all_25_1 = e12
% 245.31/49.26    (16)  op1(e14, unit1) = e14
% 245.31/49.26    (17)  all_25_24 = e10
% 245.31/49.26    (18)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13,
% 245.31/49.26              e11) = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 =
% 245.31/49.26            e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.31/49.26    (19)   ~ (all_14_8 = all_14_13)
% 245.31/49.26    (20)   ~ (all_14_23 = e10)
% 245.31/49.26    (21)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13,
% 245.31/49.26              e11) = e13) | (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 =
% 245.31/49.26            e13 & op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10, e11) = e13)
% 245.31/49.26    (22)  op1(e14, e14) = all_14_0
% 245.31/49.26    (23)   ~ (all_14_12 = e13)
% 245.31/49.26    (24)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.31/49.26              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.31/49.26            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.31/49.26    (25)  op1(e10, e14) = all_14_4
% 245.31/49.26    (26)   ~ (all_14_8 = e12)
% 245.31/49.26    (27)   ~ (all_14_22 = all_14_23)
% 245.31/49.26    (28)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.31/49.26              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.31/49.26            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.31/49.26    (29)   ~ (all_14_15 = e13)
% 245.31/49.26    (30)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.31/49.26            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.31/49.26            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.31/49.26    (31)   ~ (all_14_7 = e12)
% 245.31/49.26    (32)   ~ (all_14_7 = e11)
% 245.31/49.26    (33)   ~ (e12 = e11)
% 245.31/49.26    (34)   ~ (all_14_17 = all_14_19)
% 245.31/49.26    (35)   ~ (all_14_0 = e12)
% 245.31/49.26    (36)   ~ (e14 = e11)
% 245.31/49.26    (37)  all_25_3 = e11
% 245.31/49.26    (38)   ~ (all_14_17 = all_14_18)
% 245.31/49.26    (39)  op1(e10, e13) = e13
% 245.31/49.26    (40)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14, e13)
% 245.31/49.26            = e13) | (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9 = e13 &
% 245.31/49.26            op1(e14, e11) = e13) | (all_25_16 = e13 & op1(e14, e10) = e13)
% 245.31/49.26    (41)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.31/49.26            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.31/49.26            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.31/49.26    (42)   ~ (all_14_3 = all_14_23)
% 245.31/49.26    (43)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.31/49.26            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.31/49.26            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.31/49.26    (44)   ~ (e13 = e10)
% 245.31/49.26    (45)  op1(e11, e12) = all_14_13
% 245.31/49.26    (46)   ~ (e14 = e13)
% 245.31/49.26    (47)   ~ (all_14_2 = all_14_17)
% 245.31/49.26    (48)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.31/49.26            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.31/49.26            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.31/49.26    (49)   ~ (all_14_0 = all_14_2)
% 245.31/49.26    (50)   ~ (all_14_15 = e12)
% 245.31/49.26    (51)   ~ (all_14_17 = e14)
% 245.31/49.26    (52)  op1(e14, e11) = all_14_15
% 245.31/49.26    (53)  op1(e13, unit1) = e13
% 245.31/49.26    (54)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.31/49.26            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.31/49.26            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.31/49.26    (55)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.31/49.26            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.31/49.26            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.31/49.26    (56)  op1(e13, e11) = e14
% 245.31/49.26    (57)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.31/49.26              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.31/49.26            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.31/49.26    (58)   ~ (all_14_12 = all_14_17)
% 245.31/49.26    (59)   ~ (all_14_23 = e13)
% 245.31/49.26    (60)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.31/49.26              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.31/49.26            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.31/49.26    (61)  all_25_21 = e13
% 245.31/49.26    (62)  op1(e11, e13) = all_14_8
% 245.31/49.26    (63)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.31/49.26              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.31/49.26            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.26    (64)   ~ (all_14_2 = all_14_3)
% 245.31/49.26    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.31/49.26            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.31/49.26    (66)   ~ (all_14_7 = all_14_8)
% 245.31/49.26    (67)  op1(e12, e10) = all_14_22
% 245.31/49.26    (68)   ~ (e13 = e11)
% 245.31/49.26    (69)  op1(e13, e12) = e10
% 245.31/49.26    (70)   ~ (all_14_2 = e12)
% 245.31/49.26    (71)   ~ (all_14_3 = e12)
% 245.31/49.26    (72)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.31/49.26              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.31/49.26            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.31/49.26    (73)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.31/49.26              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.31/49.26            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.31/49.26    (74)   ~ (all_14_0 = all_14_20)
% 245.31/49.26    (75)  op1(e12, e11) = all_14_17
% 245.31/49.26    (76)   ~ (all_14_18 = e14)
% 245.31/49.26    (77)  op1(e12, unit1) = e12
% 245.31/49.26    (78)   ~ (e11 = e10)
% 245.31/49.26    (79)   ~ (all_14_13 = e10)
% 245.31/49.26    (80)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.31/49.26            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.31/49.26            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.31/49.26    (81)  op1(e12, e14) = all_14_2
% 245.31/49.26    (82)   ~ (e13 = e12)
% 245.31/49.26    (83)  op1(e13, e13) = e11
% 245.31/49.26    (84)   ~ (all_14_20 = e13)
% 245.31/49.26    (85)  op1(e11, e14) = all_14_3
% 245.31/49.26    (86)   ~ (all_14_13 = e13)
% 245.31/49.26    (87)   ~ (e12 = e10)
% 245.31/49.26    (88)  all_25_10 = e14
% 245.31/49.26    (89)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 245.31/49.26            = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_14 = e12 &
% 245.31/49.26            op1(e11, e12) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.31/49.26    (90)   ~ (all_14_9 = e12)
% 245.31/49.26    (91)   ~ (all_14_19 = e14)
% 245.31/49.26    (92)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13, e14)
% 245.31/49.26            = e13) | (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12 = e13 &
% 245.31/49.26            op1(e11, e14) = e13) | (all_25_20 = e13 & op1(e10, e14) = e13)
% 245.31/49.26    (93)   ~ (all_14_14 = e13)
% 245.31/49.26    (94)   ~ (all_14_3 = all_14_13)
% 245.31/49.26    (95)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.31/49.26            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.31/49.26            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.31/49.26    (96)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.31/49.26            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.31/49.26            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.26    (97)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.31/49.26              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.31/49.26            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.31/49.26    (98)   ~ (all_14_15 = e14)
% 245.31/49.26    (99)   ~ (all_14_19 = e13)
% 245.31/49.26    (100)  op1(e14, e10) = all_14_20
% 245.31/49.26    (101)   ~ (all_14_20 = e12)
% 245.31/49.26    (102)   ~ (all_14_2 = all_14_12)
% 245.31/49.26    (103)  op1(e12, e12) = all_14_12
% 245.31/49.26    (104)  op1(e13, e10) = e13
% 245.31/49.26    (105)  op1(e10, unit1) = e10
% 245.31/49.26    (106)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7 = e13 & op1(e12,
% 245.31/49.26               e13) = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_11 =
% 245.31/49.26             e13 & op1(e12, e11) = e13) | (all_25_18 = e13 & op1(e12, e10) = e13)
% 245.31/49.26    (107)   ~ (all_14_8 = e11)
% 245.31/49.26    (108)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.31/49.27    (109)  op1(unit1, e14) = e14
% 245.31/49.27    (110)  op1(e14, e12) = all_14_10
% 245.31/49.27    (111)   ~ (all_14_10 = e12)
% 245.31/49.27    (112)  op1(e11, e11) = all_14_18
% 245.31/49.27    (113)   ~ (all_14_20 = e10)
% 245.31/49.27    (114)   ~ (all_14_19 = e10)
% 245.31/49.27    (115)   ~ (all_14_15 = all_14_18)
% 245.31/49.27    (116)   ~ (all_14_4 = all_14_19)
% 245.31/49.27    (117)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.31/49.27               e13) = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 =
% 245.31/49.27             e10 & op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.31/49.27    (118)   ~ (all_14_0 = all_14_3)
% 245.31/49.27    (119)  op1(unit1, e12) = e12
% 245.31/49.27    (120)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.31/49.27               e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23
% 245.31/49.27             = e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) =
% 245.31/49.27             e13)
% 245.31/49.27    (121)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13,
% 245.31/49.27               e13) = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 =
% 245.31/49.27             e14 & op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.31/49.27    (122)  op1(e10, e11) = all_14_19
% 245.31/49.27    (123)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.31/49.27               e13) = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 =
% 245.31/49.27             e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.31/49.27    (124)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13,
% 245.31/49.27               e12) = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 =
% 245.31/49.27             e14 & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.31/49.27    (125)  op1(e10, e12) = all_14_14
% 245.31/49.27    (126)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.31/49.27               e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19
% 245.31/49.27             = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 245.31/49.27             e12)
% 245.31/49.27    (127)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 245.31/49.27               e13) = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 =
% 245.31/49.27             e10 & op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.31/49.27    (128)  op1(e13, e14) = e12
% 245.31/49.27    (129)   ~ (all_14_22 = e13)
% 245.31/49.27    (130)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.31/49.27               e13) = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 =
% 245.31/49.27             e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.31/49.27    (131)   ~ (e14 = e12)
% 245.31/49.27    (132)   ~ (all_14_3 = all_14_8)
% 245.31/49.27    (133)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7 = e12 & op1(e12,
% 245.31/49.27               e13) = e12) | (all_25_8 = e12 & op1(e12, e12) = e12) | (all_25_11 =
% 245.31/49.27             e12 & op1(e12, e11) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12)
% 245.31/49.27    (134)   ~ (all_14_7 = all_14_17)
% 245.31/49.27    (135)  op1(e14, e13) = e12
% 245.31/49.27    (136)   ~ (all_14_20 = all_14_22)
% 245.31/49.27    (137)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 245.31/49.27               e12) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 =
% 245.31/49.27             e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.31/49.27    (138)   ~ (all_14_8 = all_14_23)
% 245.31/49.27    (139)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 245.31/49.27               e13) = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 =
% 245.31/49.27             e11 & op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.31/49.27    (140)  all_25_17 = e13
% 245.31/49.27    (141)   ~ (all_14_2 = all_14_22)
% 245.31/49.27  
% 245.31/49.27  Begin of proof
% 245.31/49.27  | 
% 245.31/49.27  | BETA: splitting (40) gives:
% 245.31/49.27  | 
% 245.31/49.27  | Case 1:
% 245.31/49.27  | | 
% 245.31/49.27  | |   (142)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_1 = e13 & op1(e14,
% 245.31/49.27  | |              e13) = e13)
% 245.31/49.27  | | 
% 245.31/49.27  | | BETA: splitting (142) gives:
% 245.31/49.27  | | 
% 245.31/49.27  | | Case 1:
% 245.31/49.27  | | | 
% 245.31/49.27  | | |   (143)  all_25_0 = e13 & op1(e14, e14) = e13
% 245.31/49.27  | | | 
% 245.31/49.27  | | | ALPHA: (143) implies:
% 245.31/49.27  | | |   (144)  all_25_0 = e13
% 245.31/49.27  | | | 
% 245.31/49.27  | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36), (37), (41),
% 245.31/49.27  | | |            (44), (45), (46), (48), (52), (54), (65), (68), (69), (78),
% 245.31/49.27  | | |            (82), (83), (86), (87), (93), (96), (98), (100), (103), (113),
% 245.31/49.27  | | |            (121), (125), (130), (131), (140), (144) are inconsistent by
% 245.31/49.27  | | |            sub-proof #1231.
% 245.31/49.27  | | | 
% 245.31/49.27  | | Case 2:
% 245.31/49.27  | | | 
% 245.31/49.27  | | |   (145)  all_25_1 = e13 & op1(e14, e13) = e13
% 245.31/49.27  | | | 
% 245.31/49.27  | | | REF_CLOSE: (15), (82), (145) are inconsistent by sub-proof #1293.
% 245.31/49.27  | | | 
% 245.31/49.27  | | End of split
% 245.31/49.27  | | 
% 245.31/49.27  | Case 2:
% 245.31/49.27  | | 
% 245.31/49.27  | |   (146)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_9 = e13 & op1(e14,
% 245.31/49.27  | |              e11) = e13) | (all_25_16 = e13 & op1(e14, e10) = e13)
% 245.31/49.27  | | 
% 245.31/49.27  | | BETA: splitting (146) gives:
% 245.31/49.27  | | 
% 245.31/49.27  | | Case 1:
% 245.31/49.27  | | | 
% 245.31/49.27  | | |   (147)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.31/49.27  | | | 
% 245.31/49.27  | | | ALPHA: (147) implies:
% 245.31/49.27  | | |   (148)  all_25_4 = e13
% 245.31/49.27  | | |   (149)  op1(e14, e12) = e13
% 245.31/49.27  | | | 
% 245.31/49.27  | | | BETA: splitting (2) gives:
% 245.31/49.27  | | | 
% 245.31/49.27  | | | Case 1:
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | |   (150)  all_18_10 = e13
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | COMBINE_EQS: (5), (150) imply:
% 245.31/49.27  | | | |   (151)  all_14_2 = e13
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | SIMP: (151) implies:
% 245.31/49.27  | | | |   (152)  all_14_2 = e13
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | REDUCE: (64), (152) imply:
% 245.31/49.27  | | | |   (153)   ~ (all_14_3 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | SIMP: (153) implies:
% 245.31/49.27  | | | |   (154)   ~ (all_14_3 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | REDUCE: (102), (152) imply:
% 245.31/49.27  | | | |   (155)   ~ (all_14_12 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | REDUCE: (47), (152) imply:
% 245.31/49.27  | | | |   (156)   ~ (all_14_17 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | SIMP: (156) implies:
% 245.31/49.27  | | | |   (157)   ~ (all_14_17 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | REDUCE: (141), (152) imply:
% 245.31/49.27  | | | |   (158)   ~ (all_14_22 = e13)
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | BETA: splitting (21) gives:
% 245.31/49.27  | | | | 
% 245.31/49.27  | | | | Case 1:
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | |   (159)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 &
% 245.31/49.27  | | | | |            op1(e13, e11) = e13)
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | | REF_CLOSE: (29), (46), (52), (56), (65), (159) are inconsistent by
% 245.31/49.27  | | | | |            sub-proof #1229.
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | Case 2:
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | |   (160)  (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_15 = e13 &
% 245.31/49.27  | | | | |            op1(e11, e11) = e13) | (all_25_23 = e13 & op1(e10, e11) =
% 245.31/49.27  | | | | |            e13)
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | | BETA: splitting (160) gives:
% 245.31/49.27  | | | | | 
% 245.31/49.27  | | | | | Case 1:
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | |   (161)  all_25_11 = e13 & op1(e12, e11) = e13
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | | REF_CLOSE: (65), (75), (157), (161) are inconsistent by sub-proof
% 245.31/49.27  | | | | | |            #1228.
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | Case 2:
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | |   (162)  (all_25_15 = e13 & op1(e11, e11) = e13) | (all_25_23 = e13
% 245.31/49.27  | | | | | |            & op1(e10, e11) = e13)
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | | BETA: splitting (162) gives:
% 245.31/49.27  | | | | | | 
% 245.31/49.27  | | | | | | Case 1:
% 245.31/49.27  | | | | | | | 
% 245.31/49.27  | | | | | | |   (163)  all_25_15 = e13 & op1(e11, e11) = e13
% 245.31/49.27  | | | | | | | 
% 245.31/49.27  | | | | | | | ALPHA: (163) implies:
% 245.31/49.27  | | | | | | |   (164)  all_25_15 = e13
% 245.31/49.27  | | | | | | |   (165)  op1(e11, e11) = e13
% 245.31/49.27  | | | | | | | 
% 245.31/49.27  | | | | | | | BETA: splitting (92) gives:
% 245.31/49.27  | | | | | | | 
% 245.31/49.27  | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | |   (166)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 =
% 245.31/49.27  | | | | | | | |            e13 & op1(e13, e14) = e13)
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36), (37),
% 245.31/49.27  | | | | | | | |            (41), (44), (45), (46), (48), (52), (54), (65), (68),
% 245.31/49.27  | | | | | | | |            (69), (78), (82), (83), (86), (87), (93), (96), (98),
% 245.31/49.27  | | | | | | | |            (100), (103), (113), (121), (125), (128), (130),
% 245.31/49.27  | | | | | | | |            (131), (140), (166) are inconsistent by sub-proof
% 245.31/49.27  | | | | | | | |            #1226.
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | Case 2:
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | |   (167)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12 =
% 245.31/49.27  | | | | | | | |            e13 & op1(e11, e14) = e13) | (all_25_20 = e13 &
% 245.31/49.27  | | | | | | | |            op1(e10, e14) = e13)
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | | BETA: splitting (167) gives:
% 245.31/49.27  | | | | | | | | 
% 245.31/49.27  | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | 
% 245.31/49.27  | | | | | | | | |   (168)  all_25_6 = e13 & op1(e12, e14) = e13
% 245.31/49.27  | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | ALPHA: (168) implies:
% 245.31/49.27  | | | | | | | | |   (169)  all_25_6 = e13
% 245.31/49.27  | | | | | | | | |   (170)  op1(e12, e14) = e13
% 245.31/49.27  | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | BETA: splitting (126) gives:
% 245.31/49.27  | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | |   (171)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 245.31/49.27  | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | REF_CLOSE: (44), (53), (65), (69), (82), (100), (101), (105),
% 245.31/49.27  | | | | | | | | | |            (108), (110), (111), (114), (119), (122), (171)
% 245.31/49.27  | | | | | | | | | |            are inconsistent by sub-proof #1224.
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | Case 2:
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | |   (172)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 245.31/49.27  | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.31/49.27  | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | BETA: splitting (172) gives:
% 245.31/49.27  | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | |   (173)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | ALPHA: (173) implies:
% 245.31/49.27  | | | | | | | | | | |   (174)  all_25_18 = e12
% 245.31/49.27  | | | | | | | | | | |   (175)  op1(e12, e10) = e12
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_22, e12, e10, e12,
% 245.31/49.27  | | | | | | | | | | |              simplifying with (67), (175) gives:
% 245.31/49.27  | | | | | | | | | | |   (176)  all_14_22 = e12
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | REDUCE: (129), (176) imply:
% 245.31/49.27  | | | | | | | | | | |   (177)   ~ (e13 = e12)
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | BETA: splitting (24) gives:
% 245.31/49.27  | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | |   (178)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 245.31/49.27  | | | | | | | | | | | |          (all_25_10 = e12 & op1(e13, e11) = e12)
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | REF_CLOSE: (50), (52), (56), (65), (131), (178) are
% 245.31/49.27  | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | Case 2:
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | |   (179)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.31/49.27  | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.31/49.27  | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | BETA: splitting (179) gives:
% 245.31/49.27  | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | |   (180)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.31/49.27  | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | ALPHA: (180) implies:
% 245.31/49.27  | | | | | | | | | | | | |   (181)  all_25_11 = e12
% 245.31/49.27  | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | BETA: splitting (18) gives:
% 245.31/49.27  | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | |   (182)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 245.31/49.27  | | | | | | | | | | | | | |          (all_25_10 = e10 & op1(e13, e11) = e10)
% 245.31/49.27  | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 245.31/49.27  | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | |   (183)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.31/49.27  | | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 245.31/49.27  | | | | | | | | | | | | | | |   (184)  all_25_9 = e10
% 245.31/49.27  | | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 245.31/49.27  | | | | | | | | | | | | | | | 
% 245.31/49.27  | | | | | | | | | | | | | | | Case 1:
% 245.31/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | |   (185)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | |          (all_25_13 = e12 & op1(e11, e13) = e12)
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | |   (186)  all_25_12 = e12 & op1(e11, e14) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | |   (187)  all_25_12 = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | |   (188)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.33/49.27  | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (15), (30), (33), (36), (41), (44),
% 245.33/49.27  | | | | | | | | | | | | | | | | | |            (46), (52), (65), (68), (69), (78), (82), (83),
% 245.33/49.27  | | | | | | | | | | | | | | | | | |            (87), (96), (98), (121), (130), (131), (148),
% 245.33/49.27  | | | | | | | | | | | | | | | | | |            (184), (188) are inconsistent by sub-proof #1217.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | |   (189)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (190)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |            (169), (190) are inconsistent by sub-proof #1216.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (191)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (192)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (121), (131), (187), (192) are inconsistent by
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            sub-proof #1215.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (193)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (194)  all_25_20 = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (36), (37), (39), (44), (45), (46), (48), (53),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (82), (83),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (86), (87), (90), (91), (93), (96), (97), (99),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (119), (120), (121), (122), (125), (128), (131),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (140), (148), (194) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            #1197.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | |   (195)  all_25_13 = e12 & op1(e11, e13) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36),
% 245.33/49.27  | | | | | | | | | | | | | | | | |            (37), (39), (44), (45), (46), (48), (61), (65),
% 245.33/49.27  | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (86), (87), (93),
% 245.33/49.27  | | | | | | | | | | | | | | | | |            (96), (103), (117), (121), (123), (125), (131),
% 245.33/49.27  | | | | | | | | | | | | | | | | |            (140), (148), (195) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | |            #1191.
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | |   (196)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | |   (197)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | |   (198)  all_25_14 = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | |   (199)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (200)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (201)  all_25_20 = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (202)  op1(e10, e14) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (203)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (204)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (169), (204) are inconsistent by sub-proof #1216.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (205)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (206)  all_25_7 = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (201), (208) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            (209) are inconsistent by sub-proof #1175.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (212)  op1(e10, e12) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (131), (214) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (215) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_25_7 = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (206), (218) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #1251.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_25_13 = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_25_12 = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (169), (206), (221), (225) are inconsistent
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1173.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_25_8 = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (15), (23), (33), (36), (37), (39),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (44), (45), (46), (48), (52), (65), (68),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (78), (86), (93), (98), (103), (123), (125),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (139), (148), (169), (174), (181),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (206), (221), (228), (229) are inconsistent
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1165.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (169), (231) are
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (78), (82), (105),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (109), (114), (119), (122), (128), (212),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (232) are inconsistent by sub-proof #1163.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (51), (65),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (123), (131), (174), (206), (221), (233) are
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1160.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (221), (234) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1159.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  op1(e11, e12) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (65), (79), (237) are inconsistent by
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (239) are inconsistent by sub-proof #1157.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_25_19 = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (33), (44), (45), (48), (53), (65),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (86), (93), (103), (105), (108),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (110), (111), (114), (119), (122), (125),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (202), (242) are inconsistent by
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1154.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (78), (174), (241), (243) are
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1152.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (244) are inconsistent by sub-proof #1175.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (245) are
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1207.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (246)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (30), (33), (36), (43),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (44), (45), (46), (48), (51), (65), (68), (69),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (75), (78), (82), (83), (86), (87), (93), (96),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (103), (121), (125), (131), (139), (148), (169),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            (174), (181), (246) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            #1143.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (247)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (65), (90), (247) are inconsistent by
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | |   (248)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (249)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | |   (250)  all_25_22 = e12
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |   (251)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (252)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |            (169), (252) are inconsistent by sub-proof #1216.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (253)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | |   (254)  all_25_7 = e10
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_25_20 = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (131), (259) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (260) are inconsistent by sub-proof
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |   (261)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (39), (46), (65), (91), (97), (122),
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (250), (254), (257), (262) are inconsistent
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1142.
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_25_13 = e14
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_25_12 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (169), (254), (265), (270) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1174.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (39), (46), (65), (91), (97), (122),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (250), (254), (257), (271) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1142.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_25_8 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (15), (23), (33), (36), (37), (39),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (44), (45), (46), (48), (52), (65), (68),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (78), (86), (93), (98), (103), (123), (125),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (139), (148), (169), (174), (181),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (254), (265), (274), (275) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1165.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (23), (36), (37), (39), (44), (45),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (78), (86), (93),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (123), (125), (131), (148), (169), (254),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (257), (265), (268), (276) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1140.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (51), (65),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (123), (131), (174), (254), (265), (277) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1160.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (39), (46), (65), (91), (97), (122),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (250), (257), (265), (278) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1139.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op1(e11, e12) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (65), (79), (281) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1158.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (283) are inconsistent by sub-proof #1157.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_25_19 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_25_16 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_25_16 = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (254), (265), (288), (291) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1138.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (140), (148), (292) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1155.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (78), (174), (285), (293) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1152.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (44), (46), (56), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (294) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1136.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_25_18 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (174), (254), (265), (297) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1161.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_25_19 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (300) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  e14 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (301) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  e14 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (302) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_25_20 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (39), (46), (65), (91), (97), (122),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (250), (303) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1205.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (39), (46), (65), (91), (97), (122),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (250), (257), (304) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1135.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (305) are inconsistent by sub-proof #1175.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (306) are inconsistent by sub-proof #1175.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |   (307)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (131), (250), (307)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1206.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (308)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (30), (33), (36), (43),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (44), (45), (46), (48), (51), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (75), (78), (82), (83), (86), (87), (93), (96),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (103), (121), (125), (131), (139), (148), (169),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (174), (181), (308) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            #1143.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (309)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (310)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | ALPHA: (310) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (311)  all_25_23 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (312)  op1(e10, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (11), (12), (15), (17), (18), (23),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (43),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (44), (45), (46), (48), (51), (52), (53), (54),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (63), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (72), (75), (76), (78), (79), (80), (83), (86),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (91), (93), (96), (98), (99), (100), (103), (105),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (108), (109), (110), (111), (112), (113), (114),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (117), (119), (120), (121), (122), (123), (124),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (125), (127), (128), (130), (139), (140), (148),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (164), (169), (174), (198), (311), (312) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1089.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (313)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (44),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            (96), (121), (131), (313) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            sub-proof #1261.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (314)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (315)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (164), (315) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            #1088.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (316)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (317)  all_25_19 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (23), (33), (36), (44),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (45), (46), (48), (56), (57), (63), (65), (68),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (69), (78), (82), (83), (86), (93), (103), (125),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (131), (140), (148), (174), (317) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            by sub-proof #1083.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | |   (318)  all_25_10 = e10 & op1(e13, e11) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (33), (44), (46), (56), (65), (68),
% 245.33/49.28  | | | | | | | | | | | | | | |            (69), (78), (82), (83), (87), (96), (121), (131),
% 245.33/49.28  | | | | | | | | | | | | | | |            (318) are inconsistent by sub-proof #1092.
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | |   (319)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | |   (320)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.28  | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.28  | | | | | | | | | | | | | | |            (121), (131), (181), (320) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | |            sub-proof #1145.
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | |   (321)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.28  | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.28  | | | | | | | | | | | | | | |            (93), (103), (114), (121), (122), (125), (131),
% 245.33/49.28  | | | | | | | | | | | | | | |            (140), (148), (164), (321) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | |            sub-proof #1091.
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | |   (322)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.28  | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.28  | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | BETA: splitting (322) gives:
% 245.33/49.28  | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | |   (323)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | REF_CLOSE: (82), (164), (323) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | |            #1088.
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | |   (324)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | ALPHA: (324) implies:
% 245.33/49.28  | | | | | | | | | | | | | |   (325)  all_25_23 = e12
% 245.33/49.28  | | | | | | | | | | | | | |   (326)  op1(e10, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | |   (327)  (all_25_12 = e12 & op1(e11, e14) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | |          (all_25_13 = e12 & op1(e11, e13) = e12)
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | |   (328)  all_25_12 = e12 & op1(e11, e14) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | |   (329)  all_25_12 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (330)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.33/49.28  | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (331)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (332)  all_25_0 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (333)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (334)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (332), (334) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            #1220.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (335)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (131), (335) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            #1292.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (336)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (337)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (148), (337) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |            #1236.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |   (338)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | |   (339)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (65), (98), (339) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | |   (340)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | |   (341)  all_25_16 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (332), (343) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (44), (46), (56), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (87), (96), (131), (344) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_25_6 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (169), (347) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (348)  e14 = e13
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (348) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_25_16 = e13
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (30), (33), (36), (37),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (41), (44), (46), (52), (54), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (78), (82), (83), (87), (96), (98), (100), (113),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            (121), (130), (131), (140), (148), (349) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1130.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_25_12 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (352) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (353)  e14 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (353) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (354)  $false
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (354) is inconsistent.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_25_20 = e14
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (46), (52), (65), (98), (130),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (148), (332), (341), (356), (358) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1128.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (61), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (148), (359) are
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1202.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (361) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_25_23 = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (364) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  e12 = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (365) imply:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_25_12 = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (11), (12), (15), (17), (23), (30),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (36), (37), (41), (44), (45), (46), (48),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (54), (56), (61), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (80), (82), (83), (86), (87), (93), (96),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (100), (103), (105), (108), (110), (111),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (114), (119), (121), (122), (125), (130),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (140), (148), (169), (325), (332), (366)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1125.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (78), (367) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1259.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (368)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (369)  all_25_2 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (30), (33), (36), (44), (46), (65),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (87), (96), (121),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (131), (369) are inconsistent by sub-proof #1281.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (370)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (371)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.28  | | | | | | | | | | | | | | | | | |            (169), (371) are inconsistent by sub-proof #1216.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | |   (372)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.28  | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (373)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            (121), (131), (329), (373) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            sub-proof #1215.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (374)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |   (375)  all_25_20 = e10
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (23), (33), (44), (45), (48), (53),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (78), (86), (93), (103),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            (105), (108), (110), (111), (114), (119), (122),
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            (125), (148), (325), (375) are inconsistent by
% 245.33/49.28  | | | | | | | | | | | | | | | | | | |            sub-proof #1121.
% 245.33/49.28  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | |   (376)  all_25_13 = e12 & op1(e11, e13) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (37), (39), (44), (45), (46), (48), (61), (65),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (86), (87), (93),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (96), (103), (117), (121), (123), (125), (131),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (140), (148), (376) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | |            #1191.
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | |   (377)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | |   (378)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | |   (379)  all_25_14 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (11), (12), (15), (17), (18), (23),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (43),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (44), (45), (46), (48), (51), (52), (53), (54),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (63), (65), (68), (69),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (72), (75), (76), (78), (79), (80), (83), (86),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (91), (93), (96), (98), (99), (100), (103), (105),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (108), (109), (110), (111), (112), (113), (114),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (117), (119), (120), (121), (122), (123), (124),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (125), (127), (128), (130), (139), (140), (148),
% 245.33/49.28  | | | | | | | | | | | | | | | |            (164), (169), (174), (325), (326), (379) are
% 245.33/49.28  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1089.
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | |   (380)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.28  | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12)
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (381)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (164), (381) are inconsistent by sub-proof
% 245.33/49.28  | | | | | | | | | | | | | | | | |            #1088.
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (382)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 245.33/49.28  | | | | | | | | | | | | | | | | |   (383)  all_25_19 = e12
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (23), (33), (36), (44),
% 245.33/49.28  | | | | | | | | | | | | | | | | |            (45), (46), (48), (56), (57), (63), (65), (68),
% 245.33/49.28  | | | | | | | | | | | | | | | | |            (69), (78), (82), (83), (86), (93), (103), (125),
% 245.33/49.28  | | | | | | | | | | | | | | | | |            (131), (140), (148), (174), (383) are inconsistent
% 245.33/49.28  | | | | | | | | | | | | | | | | |            by sub-proof #1083.
% 245.33/49.28  | | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | End of split
% 245.33/49.28  | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | Case 2:
% 245.33/49.28  | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | |   (384)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.33/49.28  | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.28  | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | BETA: splitting (384) gives:
% 245.33/49.28  | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | Case 1:
% 245.33/49.28  | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | |   (385)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.33/49.28  | | | | | | | | | | | | 
% 245.33/49.28  | | | | | | | | | | | | ALPHA: (385) implies:
% 245.33/49.28  | | | | | | | | | | | |   (386)  all_25_19 = e12
% 245.33/49.29  | | | | | | | | | | | |   (387)  op1(e11, e10) = e12
% 245.33/49.29  | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_23, e12, e10, e11,
% 245.33/49.29  | | | | | | | | | | | |              simplifying with (4), (387) gives:
% 245.33/49.29  | | | | | | | | | | | |   (388)  all_14_23 = e12
% 245.33/49.29  | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | REDUCE: (59), (388) imply:
% 245.33/49.29  | | | | | | | | | | | |   (389)   ~ (e13 = e12)
% 245.33/49.29  | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.33/49.29  | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | |   (390)  (all_25_20 = e12 & op1(e10, e14) = e12) |
% 245.33/49.29  | | | | | | | | | | | | |          (all_25_21 = e12 & op1(e10, e13) = e12)
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | BETA: splitting (390) gives:
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | |   (391)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | ALPHA: (391) implies:
% 245.33/49.29  | | | | | | | | | | | | | |   (392)  all_25_20 = e12
% 245.33/49.29  | | | | | | | | | | | | | |   (393)  op1(e10, e14) = e12
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | |   (394)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | |   (395)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | |   (396)  all_25_20 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | REF_CLOSE: (131), (392), (396) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | |            #1082.
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | |   (397)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.29  | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.29  | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.29  | | | | | | | | | | | | | | | |            (397) are inconsistent by sub-proof #1175.
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | |   (398)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | |   (399)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | |   (400)  all_25_22 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | |   (401)  op1(e10, e12) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | |   (402)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_10 = e12 & op1(e13, e11) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (52), (56), (65), (131), (402) are
% 245.33/49.29  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | |   (403)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (404)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | ALPHA: (404) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (405)  all_25_11 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (406)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (407)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |            (169), (407) are inconsistent by sub-proof #1216.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (408)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (409)  all_25_7 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (410)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (69), (87), (110), (111), (410) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (411)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (412)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (413)  all_25_8 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (414)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (131), (415) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (37), (416) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (417)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_25_7 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (409), (419) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |            #1251.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (420)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_25_13 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_25_12 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e12) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (78),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (426) are inconsistent
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1080.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (413), (428) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1079.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_25_14 = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (16), (23), (30), (33),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (37), (41), (44), (45), (46), (48), (53),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (54), (56), (65), (68), (69), (78), (82), (83),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (87), (93), (96), (100), (103), (105),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (109), (110), (111), (113), (114), (119),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (122), (125), (131), (140), (148), (393),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (432) are inconsistent by sub-proof #1077.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (169), (409), (422), (434) are inconsistent
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1174.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_25_12 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (437) imply:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  e14 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (438) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  e14 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (439) imply:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_25_13 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (28), (36), (65), (76), (112), (131), (386),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (425), (431), (440) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1074.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_25_20 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (44), (45), (46), (48), (53), (61), (65),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (73), (78), (82), (83), (86), (87),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (93), (96), (103), (105), (108), (109),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (111), (114), (119), (121), (122), (125),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (131), (148), (400), (401), (442) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1072.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (443) are inconsistent
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (422), (444) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1159.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  (all_25_14 = e10 & op1(e11, e12) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (30), (33), (36), (37),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (45), (46), (48), (65), (68), (69), (78),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (82), (83), (86), (87), (93), (96), (103),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (125), (131), (140), (148), (164), (386),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (445) are inconsistent by sub-proof #1070.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (446) are inconsistent by sub-proof #1175.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (447)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_25_14 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (16), (17), (23),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (30), (33), (36), (37), (39), (41), (44), (45),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (53), (54), (56), (60), (61), (65),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (72), (73), (78), (79), (80), (82),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (93), (95), (96), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (100), (103), (105), (108), (109), (110), (111),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (113), (114), (117), (119), (120), (121), (122),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (131), (140), (148), (164),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (169), (386), (393), (400), (401), (449) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1068.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (400), (450) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (451)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (452)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (453)  all_25_8 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (454)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (69), (87), (110), (111), (454) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (455)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (456)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (457)  all_25_8 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (453), (457) are inconsistent by
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1067.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (458)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (459) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_25_14 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (16), (17), (23),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (30), (33), (36), (37), (39), (41), (44), (45),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (53), (54), (56), (60), (61), (65),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (72), (73), (78), (79), (80), (82),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (93), (95), (96), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (100), (103), (105), (108), (109), (110), (111),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (113), (114), (117), (119), (120), (121), (122),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (131), (140), (148), (164),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            (169), (386), (393), (400), (401), (460) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1068.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (400), (461) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |            #1263.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (462)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (463)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            (121), (131), (405), (463) are inconsistent by
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1145.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (464)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | ALPHA: (464) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (465)  all_25_18 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (466)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (33), (44), (45), (48), (53), (65),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (86), (93), (103), (105), (108),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            (109), (110), (111), (114), (119), (122), (125),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (393), (466) are inconsistent by
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1154.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (78), (386), (465), (467) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1065.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (468)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (469)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (164), (469) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            #1088.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (470)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (471)  all_25_23 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (23), (33), (44), (45), (48), (53),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (78), (82), (86), (93),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            (119), (122), (125), (128), (148), (401), (471)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1199.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | |   (472)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (472) are
% 245.33/49.29  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1207.
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | |   (473)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | REF_CLOSE: (9), (65), (90), (473) are inconsistent by
% 245.33/49.29  | | | | | | | | | | | | | |            sub-proof #1265.
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | |   (474)  (all_25_22 = e12 & op1(e10, e12) = e12) |
% 245.33/49.29  | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | BETA: splitting (474) gives:
% 245.33/49.29  | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | |   (475)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | ALPHA: (475) implies:
% 245.33/49.29  | | | | | | | | | | | | | |   (476)  all_25_22 = e12
% 245.33/49.29  | | | | | | | | | | | | | |   (477)  op1(e10, e12) = e12
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.29  | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | |   (478)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | |   (479)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | |   (480)  all_25_20 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | |   (481)  op1(e10, e14) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | |   (482)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (483)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (480), (483) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | |            #1064.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (484)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (61), (65), (68), (69),
% 245.33/49.29  | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (148), (484) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1202.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | |   (485)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (486)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.29  | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (486) are inconsistent
% 245.33/49.29  | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | |   (487)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | BETA: splitting (487) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (488)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | ALPHA: (488) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (489)  all_25_23 = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | |   (490)  op1(e10, e11) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (491)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e12 & op1(e13, e11) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (52), (56), (65), (131), (491) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |   (492)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (493)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (494)  all_25_11 = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | |   (495)  op1(e12, e11) = e12
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |   (496)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e10 & op1(e13, e11) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (497) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_25_9 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | |   (499)  op1(e14, e11) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (500)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (501) are inconsistent by sub-proof #1216.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (502) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_25_7 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  op1(e12, e13) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (14), (15), (17), (23),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (52), (53), (55), (56), (60),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (65), (68), (69), (72), (73), (76),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (86), (87),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (95), (96), (97), (98), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (108), (109), (110), (111),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (119), (120), (121), (122), (123),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (128), (130), (131), (135), (139),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (149), (164), (165), (169), (170),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (476), (477), (480), (481), (490),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (495), (498), (499), (503), (504) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1044.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |   (505)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_25_8 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (14), (15), (17), (23),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (52), (53), (55), (56), (60),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (65), (68), (69), (72), (73), (76),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (86), (87),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (95), (96), (97), (98), (99),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (108), (109), (110), (111),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (117), (119), (120), (121), (122),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (128), (130), (131), (135),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (140), (148), (149), (164), (165),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (386), (387), (476), (477), (480),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (481), (490), (494), (495), (498), (499), (507)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1041.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (494), (509) are inconsistent by
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1145.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_25_18 = e10
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_25_16 = e14
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e12) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (78),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (515) are inconsistent
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1080.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (516) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_25_8 = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (514), (520) are inconsistent by sub-proof
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1040.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (140), (148), (521) are
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1155.
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_25_18 = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (524) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  e11 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (525) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  e11 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (526) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_25_8 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (14), (15), (17), (23),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (52), (53), (55), (56), (60),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (65), (68), (69), (72), (73), (76),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (86), (87),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (95), (96), (97), (98), (99),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (108), (109), (110), (111),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (117), (119), (120), (121), (122),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (128), (130), (131), (135),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (140), (148), (149), (164), (165),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (386), (387), (476), (477), (480),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (481), (490), (494), (495), (498), (499), (527)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1041.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (386), (529) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1046.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_25_24 = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (531) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  e11 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (532) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  e11 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (533) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_25_8 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (14), (15), (17), (23),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (52), (53), (55), (56), (60),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (65), (68), (69), (72), (73), (76),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (86), (87),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (95), (96), (97), (98), (99),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (108), (109), (110), (111),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (117), (119), (120), (121), (122),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (128), (130), (131), (135),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (140), (148), (149), (164), (165),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (386), (387), (476), (477), (480),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (481), (490), (494), (495), (498), (499), (534)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1041.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (14), (15), (17), (23),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (52), (53), (55), (56), (60),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (65), (68), (69), (72), (73), (76),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (86), (87),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (93), (95), (96), (97), (98), (99),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (108), (109), (110), (111),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (114), (117), (119), (120), (121), (122),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (128), (130), (131), (135),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (148), (149), (164), (165), (169),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (386), (387), (476), (477), (480), (481),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (494), (495), (498), (499), (535) are
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (44), (46), (56), (65), (68), (69),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (536) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1136.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_25_18 = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (539) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  e14 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (16), (17), (23), (30),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (36), (39), (44), (45), (46), (48), (53),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (65), (68), (69), (73), (78), (82),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (119), (121), (122), (125), (131), (140), (148),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (480), (511), (540) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1036.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (541) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (386), (542) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1087.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_25_24 = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (544) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  e14 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (16), (17), (23), (30),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (36), (39), (44), (45), (46), (48), (53),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (65), (68), (69), (73), (78), (82),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (119), (121), (122), (125), (131), (140), (148),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (480), (511), (545) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1036.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_25_10 = e10 & op1(e13, e11) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (33), (44), (46), (56), (65), (68),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (69), (78), (82), (83), (87), (96), (121), (131),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (546) are inconsistent by sub-proof #1092.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (547)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (547) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (494), (548) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1145.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |   (549)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (114), (121), (122), (125), (131),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (164), (549) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1091.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |   (550)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (551)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (164), (551) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            #1088.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (552)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (489), (552) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            #1035.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (553)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (78), (553) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            #1201.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | |   (554)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (37),
% 245.33/49.30  | | | | | | | | | | | | | | | |            (44), (46), (55), (56), (65), (68), (69), (78),
% 245.33/49.30  | | | | | | | | | | | | | | | |            (80), (82), (83), (87), (93), (95), (96), (99),
% 245.33/49.30  | | | | | | | | | | | | | | | |            (120), (121), (122), (125), (131), (140), (169),
% 245.33/49.30  | | | | | | | | | | | | | | | |            (554) are inconsistent by sub-proof #1175.
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | |   (555)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (131), (476), (555)
% 245.33/49.30  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1206.
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | |   (556)  (all_25_23 = e12 & op1(e10, e11) = e12) |
% 245.33/49.30  | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | BETA: splitting (556) gives:
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | |   (557)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 245.33/49.30  | | | | | | | | | | | | | | |   (558)  all_25_23 = e12
% 245.33/49.30  | | | | | | | | | | | | | | |   (559)  op1(e10, e11) = e12
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_19, e12, e11, e10,
% 245.33/49.30  | | | | | | | | | | | | | | |              simplifying with (122), (559) gives:
% 245.33/49.30  | | | | | | | | | | | | | | |   (560)  all_14_19 = e12
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | REDUCE: (91), (560) imply:
% 245.33/49.30  | | | | | | | | | | | | | | |   (561)   ~ (e14 = e12)
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | |   (562)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | BETA: splitting (562) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (563)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (564)  all_25_20 = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | |   (565)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | BETA: splitting (565) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (566)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (564), (566) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            #1064.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (567)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (61), (65), (68), (69),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (148), (567) are
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1202.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | |   (568)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (44), (53), (65), (69), (78), (105),
% 245.33/49.30  | | | | | | | | | | | | | | | | | |            (108), (110), (111), (114), (119), (122), (558),
% 245.33/49.30  | | | | | | | | | | | | | | | | | |            (568) are inconsistent by sub-proof #1200.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (569)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (11), (12), (17), (33), (36), (37),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (44), (46), (53), (65), (68), (69), (78), (82),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (83), (93), (99), (105), (108), (110), (111),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (114), (119), (120), (121), (122), (125), (131),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (140), (558), (569) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | |            #1110.
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | |   (570)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | BETA: splitting (570) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (571)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | ALPHA: (571) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (572)  op1(e10, e12) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (23), (33), (44), (45), (48), (53),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (78), (82), (86), (93),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.30  | | | | | | | | | | | | | | | | |            (119), (122), (125), (128), (148), (558), (572)
% 245.33/49.30  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1199.
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (573)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (573) are
% 245.33/49.30  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | |   (574)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (44),
% 245.33/49.30  | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.30  | | | | | | | | | | | | | | |            (96), (121), (131), (574) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | |            sub-proof #1261.
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | |   (575)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (44),
% 245.33/49.30  | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.30  | | | | | | | | | | | |            (96), (121), (131), (575) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | |            sub-proof #1261.
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | |   (576)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_20
% 245.33/49.30  | | | | | | | | |            = e13 & op1(e10, e14) = e13)
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | BETA: splitting (576) gives:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | |   (577)  all_25_12 = e13 & op1(e11, e14) = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REF_CLOSE: (65), (85), (154), (577) are inconsistent by
% 245.33/49.30  | | | | | | | | | |            sub-proof #1033.
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | |   (578)  all_25_20 = e13 & op1(e10, e14) = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | ALPHA: (578) implies:
% 245.33/49.30  | | | | | | | | | |   (579)  all_25_20 = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.33/49.30  | | | | | | | | | |            (36), (39), (44), (45), (46), (48), (53), (61),
% 245.33/49.30  | | | | | | | | | |            (65), (68), (69), (73), (78), (82), (83), (86),
% 245.33/49.30  | | | | | | | | | |            (87), (90), (91), (93), (96), (97), (103), (105),
% 245.33/49.30  | | | | | | | | | |            (108), (109), (110), (111), (114), (119), (121),
% 245.33/49.30  | | | | | | | | | |            (122), (125), (128), (131), (148), (579) are
% 245.33/49.30  | | | | | | | | | |            inconsistent by sub-proof #1030.
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | End of split
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | Case 2:
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | |   (580)  all_25_23 = e13 & op1(e10, e11) = e13
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | | REF_CLOSE: (65), (99), (122), (580) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | |            #1253.
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | End of split
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | End of split
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | End of split
% 245.33/49.30  | | | | 
% 245.33/49.30  | | | Case 2:
% 245.33/49.30  | | | | 
% 245.33/49.30  | | | |   (581)   ~ (all_18_10 = e13)
% 245.33/49.30  | | | | 
% 245.33/49.30  | | | | REDUCE: (5), (581) imply:
% 245.33/49.30  | | | |   (582)   ~ (all_14_2 = e13)
% 245.33/49.30  | | | | 
% 245.33/49.30  | | | | BETA: splitting (92) gives:
% 245.33/49.30  | | | | 
% 245.33/49.30  | | | | Case 1:
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | |   (583)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 &
% 245.33/49.30  | | | | |            op1(e13, e14) = e13)
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36), (37), (41),
% 245.33/49.30  | | | | |            (44), (45), (46), (48), (52), (54), (65), (68), (69), (78),
% 245.33/49.30  | | | | |            (82), (83), (86), (87), (93), (96), (98), (100), (103),
% 245.33/49.30  | | | | |            (113), (121), (125), (128), (130), (131), (140), (583) are
% 245.33/49.30  | | | | |            inconsistent by sub-proof #1226.
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | Case 2:
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | |   (584)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_12 = e13 &
% 245.33/49.30  | | | | |            op1(e11, e14) = e13) | (all_25_20 = e13 & op1(e10, e14) =
% 245.33/49.30  | | | | |            e13)
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | | BETA: splitting (584) gives:
% 245.33/49.30  | | | | | 
% 245.33/49.30  | | | | | Case 1:
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | |   (585)  all_25_6 = e13 & op1(e12, e14) = e13
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | | REF_CLOSE: (65), (81), (582), (585) are inconsistent by sub-proof
% 245.33/49.30  | | | | | |            #1029.
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | Case 2:
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | |   (586)  (all_25_12 = e13 & op1(e11, e14) = e13) | (all_25_20 = e13
% 245.33/49.30  | | | | | |            & op1(e10, e14) = e13)
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | | BETA: splitting (586) gives:
% 245.33/49.30  | | | | | | 
% 245.33/49.30  | | | | | | Case 1:
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | |   (587)  all_25_12 = e13 & op1(e11, e14) = e13
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | | ALPHA: (587) implies:
% 245.33/49.30  | | | | | | |   (588)  all_25_12 = e13
% 245.33/49.30  | | | | | | |   (589)  op1(e11, e14) = e13
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | | BETA: splitting (106) gives:
% 245.33/49.30  | | | | | | | 
% 245.33/49.30  | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | |   (590)  (all_25_6 = e13 & op1(e12, e14) = e13) | (all_25_7 =
% 245.33/49.30  | | | | | | | |            e13 & op1(e12, e13) = e13)
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | | BETA: splitting (590) gives:
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | |   (591)  all_25_6 = e13 & op1(e12, e14) = e13
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | REF_CLOSE: (65), (81), (582), (591) are inconsistent by
% 245.33/49.30  | | | | | | | | |            sub-proof #1029.
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | |   (592)  all_25_7 = e13 & op1(e12, e13) = e13
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | ALPHA: (592) implies:
% 245.33/49.30  | | | | | | | | |   (593)  all_25_7 = e13
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36),
% 245.33/49.30  | | | | | | | | |            (37), (39), (44), (45), (46), (48), (61), (65),
% 245.33/49.30  | | | | | | | | |            (68), (69), (78), (82), (83), (86), (87), (93),
% 245.33/49.30  | | | | | | | | |            (96), (103), (117), (121), (123), (125), (131),
% 245.33/49.30  | | | | | | | | |            (140), (148), (593) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | |            #1118.
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | |   (594)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_11 =
% 245.33/49.30  | | | | | | | |            e13 & op1(e12, e11) = e13) | (all_25_18 = e13 &
% 245.33/49.30  | | | | | | | |            op1(e12, e10) = e13)
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | | BETA: splitting (594) gives:
% 245.33/49.30  | | | | | | | | 
% 245.33/49.30  | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | |   (595)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | REF_CLOSE: (23), (65), (103), (595) are inconsistent by
% 245.33/49.30  | | | | | | | | |            sub-proof #1245.
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | |   (596)  (all_25_11 = e13 & op1(e12, e11) = e13) | (all_25_18
% 245.33/49.30  | | | | | | | | |            = e13 & op1(e12, e10) = e13)
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | BETA: splitting (596) gives:
% 245.33/49.30  | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | |   (597)  all_25_11 = e13 & op1(e12, e11) = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | ALPHA: (597) implies:
% 245.33/49.30  | | | | | | | | | |   (598)  all_25_11 = e13
% 245.33/49.30  | | | | | | | | | |   (599)  op1(e12, e11) = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_3, e13, e14, e11,
% 245.33/49.30  | | | | | | | | | |              simplifying with (85), (589) gives:
% 245.33/49.30  | | | | | | | | | |   (600)  all_14_3 = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_17, e13, e11, e12,
% 245.33/49.30  | | | | | | | | | |              simplifying with (75), (599) gives:
% 245.33/49.30  | | | | | | | | | |   (601)  all_14_17 = e13
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (118), (600) imply:
% 245.33/49.30  | | | | | | | | | |   (602)   ~ (all_14_0 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (132), (600) imply:
% 245.33/49.30  | | | | | | | | | |   (603)   ~ (all_14_8 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | SIMP: (603) implies:
% 245.33/49.30  | | | | | | | | | |   (604)   ~ (all_14_8 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (94), (600) imply:
% 245.33/49.30  | | | | | | | | | |   (605)   ~ (all_14_13 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (42), (600) imply:
% 245.33/49.30  | | | | | | | | | |   (606)   ~ (all_14_23 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (134), (601) imply:
% 245.33/49.30  | | | | | | | | | |   (607)   ~ (all_14_7 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (38), (601) imply:
% 245.33/49.30  | | | | | | | | | |   (608)   ~ (all_14_18 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | SIMP: (608) implies:
% 245.33/49.30  | | | | | | | | | |   (609)   ~ (all_14_18 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (34), (601) imply:
% 245.33/49.30  | | | | | | | | | |   (610)   ~ (all_14_19 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | REDUCE: (51), (601) imply:
% 245.33/49.30  | | | | | | | | | |   (611)   ~ (e14 = e13)
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | BETA: splitting (123) gives:
% 245.33/49.30  | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | |   (612)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3
% 245.33/49.30  | | | | | | | | | | |            = e14 & op1(e13, e13) = e14)
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | BETA: splitting (612) gives:
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | |   (613)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | REF_CLOSE: (15), (131), (613) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | |            #1292.
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | |   (614)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | REF_CLOSE: (36), (37), (614) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | |            #1291.
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | |   (615)  (all_25_7 = e14 & op1(e12, e13) = e14) |
% 245.33/49.30  | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.33/49.30  | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | BETA: splitting (615) gives:
% 245.33/49.30  | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | |   (616)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | ALPHA: (616) implies:
% 245.33/49.30  | | | | | | | | | | | |   (617)  all_25_7 = e14
% 245.33/49.30  | | | | | | | | | | | |   (618)  op1(e12, e13) = e14
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.33/49.30  | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | |   (619)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7
% 245.33/49.30  | | | | | | | | | | | | |            = e10 & op1(e12, e13) = e10)
% 245.33/49.30  | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | BETA: splitting (619) gives:
% 245.33/49.30  | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | |   (620)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | ALPHA: (620) implies:
% 245.33/49.30  | | | | | | | | | | | | | |   (621)  all_25_6 = e10
% 245.33/49.30  | | | | | | | | | | | | | |   (622)  op1(e12, e14) = e10
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 245.33/49.30  | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | |   (623)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 245.33/49.30  | | | | | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (30), (33), (36), (44),
% 245.33/49.30  | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.30  | | | | | | | | | | | | | | |            (96), (121), (131), (623) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | |            sub-proof #1279.
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | |   (624)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | BETA: splitting (624) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | |   (625)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | |   (626)  all_25_7 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (617), (626) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | |            #1251.
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | |   (627)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 245.33/49.30  | | | | | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | BETA: splitting (627) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (628)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | ALPHA: (628) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (629)  all_25_13 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (630)  op1(e11, e13) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_8, e10, e13, e11,
% 245.33/49.30  | | | | | | | | | | | | | | | | |              simplifying with (62), (630) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (631)  all_14_8 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_7, e14, e13, e12,
% 245.33/49.30  | | | | | | | | | | | | | | | | |              simplifying with (6), (618) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (632)  all_14_7 = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_2, e10, e14, e12,
% 245.33/49.30  | | | | | | | | | | | | | | | | |              simplifying with (81), (622) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (633)  all_14_2 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (49), (633) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (634)   ~ (all_14_0 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (19), (631) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (635)   ~ (all_14_13 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (138), (631) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (636)   ~ (all_14_23 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (604), (631) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (637)   ~ (e13 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (26), (631) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (638)   ~ (e12 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | REDUCE: (107), (631) imply:
% 245.33/49.30  | | | | | | | | | | | | | | | | |   (639)   ~ (e11 = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | |   (640)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 245.33/49.30  | | | | | | | | | | | | | | | | | |            = e10 & op1(e14, e13) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (641)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (642)  all_25_0 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | |   (643)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |   (644)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (642), (644) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |            #1220.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |   (645)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (44), (46), (56), (65), (68), (69),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |            (82), (83), (87), (96), (131), (645) are
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | |   (646)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | BETA: splitting (646) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |   (647)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (621), (647) are inconsistent by sub-proof
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |            #1028.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |   (648)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (648) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (649)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (131), (588), (617), (629), (649) are inconsistent
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1027.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (650)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |   (651)  all_25_20 = e14
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (56), (61),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (73), (78), (82), (83), (86),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (87), (90), (91), (93), (96), (97), (98), (99),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (119), (120), (121), (122), (123), (125), (128),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (140), (148), (598), (617), (629),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | |            (642), (651) are inconsistent by sub-proof #1022.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (652)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (30), (33), (36), (44),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            (96), (121), (131), (652) are inconsistent by
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |            sub-proof #1280.
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | |   (653)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 245.33/49.30  | | | | | | | | | | | | | | | | | |            = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e10)
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (654)  all_25_4 = e10 & op1(e14, e12) = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 245.33/49.30  | | | | | | | | | | | | | | | | | | |   (655)  all_25_4 = e10
% 245.33/49.30  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (655) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1242.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | |   (656)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | |          (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | |   (657)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (657) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | |   (658)  all_25_9 = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | |   (659)  op1(e14, e11) = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | |   (660)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (660) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | |   (661)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | |   (662)  all_25_20 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | |   (663)  op1(e10, e14) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | |   (664)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (664) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | |   (665)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_25_0 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | |   (667)  op1(e14, e14) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (668) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (666), (669) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1179.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (131), (670) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1292.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (671) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (148), (617), (629), (672) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1106.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (65), (98), (674) are inconsistent by
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (675) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_25_16 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  op1(e14, e10) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_4, e14, e14, e10,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (25), (663) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_14_4 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_20, e14, e10, e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (100), (677) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_14_20 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_0, e11, e14, e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (22), (667) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_14_0 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (679), (680) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)   ~ (e14 = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (680) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)   ~ (e13 = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (680) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)   ~ (e12 = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (678) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)   ~ (all_14_19 = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (679) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)   ~ (all_14_22 = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (685) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)   ~ (all_14_22 = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (69),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (131), (148), (617), (629), (687) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1105.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (689) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  all_25_8 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e14 & op1(e11, e13) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (588), (617), (629), (692) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1027.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_25_13 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (13), (15), (16), (17),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23), (24), (29), (30), (33), (36), (37), (39),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (43), (44), (45), (46), (48), (50), (51),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (54), (55), (56), (57), (61), (65),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (72), (73), (75), (78), (79), (82),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (84), (86), (87), (88), (90), (91), (93),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (97), (98), (99), (100), (101), (103),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (108), (109), (110), (111), (112), (113),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (114), (115), (117), (119), (120), (121), (122),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (130), (131), (139),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (588), (598), (609), (694) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1011.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e14 & op1(e11, e11) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_25_14 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e12) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (78),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (698) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1080.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  all_25_8 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (701) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  e14 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (702) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  $false
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (703) is inconsistent.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (704) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (697), (705) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1010.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (706) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_25_15 = e14 & op1(e11, e11) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  op1(e11, e11) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (76), (112), (709) are inconsistent by
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (710) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_25_19 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (53), (65), (69), (82), (100), (101), (105),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (110), (111), (114), (119), (122), (712)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1224.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (713) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (714) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  all_25_18 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (36), (44), (45), (48), (65), (68), (69),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (140), (148), (676),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (716) are inconsistent by sub-proof #1009.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (715), (718) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1148.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (711), (720) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1008.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_25_24 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (722) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  e11 = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (723) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  e11 = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (724) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_25_0 = e10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (11), (12), (15), (17), (18), (23),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (41), (44), (45),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (50), (52), (53), (56), (61), (65),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (86), (87), (93),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (98), (103), (105), (108), (110), (111),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (114), (119), (121), (122), (125), (130), (131),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (148), (598), (662), (676), (725) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1023.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_25_19 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (728) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  e14 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (729) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  $false
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (730) is inconsistent.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (44),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (121), (131), (731) are inconsistent by
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1261.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (732) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  all_25_14 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  op1(e11, e12) = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_13, e14, e12, e11,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (45), (735) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_14_13 = e14
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (53), (65), (69), (82), (100), (101), (105),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (110), (111), (114), (119), (122), (737)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1224.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_25_18 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  op1(e12, e10) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (742) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (743) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_25_6 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (140), (148),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (588), (598), (617), (744) are inconsistent by
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1004.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (617), (745) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1151.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (746) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_25_8 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  op1(e12, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e12 & op1(e13, e12) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (69), (87), (110), (111), (750) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_25_8 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (748), (753) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1003.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  (all_25_14 = e12 & op1(e11, e12) = e12) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_22 = e12 & op1(e10, e12) = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (734), (755) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  op1(e10, e12) = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (36), (44), (45), (48), (61), (65), (68),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (86), (93), (103), (125), (148), (662),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (758) are inconsistent by sub-proof #1000.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (760) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (762) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  op1(e10, e11) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (36), (44), (45), (48), (65), (68), (69),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (93), (103), (125), (140), (148), (676),
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (764) are inconsistent by sub-proof #1009.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (740), (766) are inconsistent by sub-proof
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1166.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (768) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  op1(e11, e10) = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_19, e11, e11, e10,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (122), (763) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_14_19 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_14, e12, e12, e10,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (125), (757) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_14_14 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_23, e11, e10, e11,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4), (769) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_14_23 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_22, e12, e10, e12,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (67), (741) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_14_22 = e12
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_14_12, e11, e12, e12,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (103), (749) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_14_12 = e11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (773) imply:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (e14 = e12)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (776) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (65), (69), (128), (135), (149), (778) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #999.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (779) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (91), (122), (659), (780) are inconsistent
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #998.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (781) gives:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_6) & $i(all_23_46) & $i(all_23_47)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)   ~ (all_23_46 = all_23_47)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  op1(e10, e14) = all_23_46
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  op1(e14, e10) = all_23_47
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (663), (677), (783), (784), (785) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1059.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_8) & $i(all_23_10) & $i(all_23_11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (786) implies:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)   ~ (all_23_10 = all_23_11)
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  op1(e13, e14) = all_23_10
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  op1(e14, e13) = all_23_11
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (128), (135), (787), (788), (789) are
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1058.
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (52), (56), (65), (69), (93), (125), (791)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #996.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)   ~ (all_23_50 = all_23_51)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  op1(e10, e13) = all_23_50
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  op1(e13, e10) = all_23_51
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (65), (104), (794), (795), (796) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (798) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)  op1(e12, e14) = all_23_20
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)  op1(all_23_20, e14) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e10, all_23_20, e14, e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (622), (799) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)  all_23_20 = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (801) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  op1(e10, e14) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e14, e12, e14, e10,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (663), (802) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)  e14 = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (803) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  $false
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (804) is inconsistent.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)   ~ (all_23_22 = e13)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  op1(e12, e13) = all_23_24
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  op1(all_23_24, e12) = all_23_22
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (149), (618), (806), (807), (808) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #995.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (809) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (810) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (65), (131), (599), (812) are inconsistent
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #994.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (813) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)   ~ (all_23_54 = all_23_55)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  op1(e10, e12) = all_23_54
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)  op1(e12, e10) = all_23_55
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (741), (757), (814), (815), (816) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #993.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (817) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  op1(e11, e14) = all_23_32
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  op1(all_23_32, e14) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (65), (128), (589), (819), (820) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #992.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (821) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (65), (68), (630), (822) are inconsistent by
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #991.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (823) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)  op1(e11, e12) = all_23_40
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  op1(all_23_40, e12) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e14, all_23_40, e12, e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (735), (824) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  all_23_40 = e14
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (826) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)  op1(e14, e12) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e13, e11, e12, e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (149), (827) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)  e13 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (828) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_25_4 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (829) are inconsistent by
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1239.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (830) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (832) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)   ~ (all_23_58 = all_23_59)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  op1(e10, e11) = all_23_58
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  op1(e11, e10) = all_23_59
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (763), (769), (833), (834), (835) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (78), (663), (667), (836) are inconsistent
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1049.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (837) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (838) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)   ~ (all_23_50 = all_23_51)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  op1(e10, e13) = all_23_50
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  op1(e13, e10) = all_23_51
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (65), (104), (839), (840), (841) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (842) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)  op1(e10, e12) = all_23_54
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  op1(all_23_54, e12) = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e12, all_23_54, e12, e10,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (757), (844) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  all_23_54 = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (846) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  op1(e12, e12) = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with e11, e10, e12, e12,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (749), (847) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  e11 = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (848) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  $false
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (849) is inconsistent.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (850) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)   ~ (all_23_58 = all_23_59)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  op1(e10, e11) = all_23_58
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  op1(e11, e10) = all_23_59
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (763), (769), (851), (852), (853) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (139), (140),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (588), (598), (617), (740), (748), (854)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #988.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (139), (140),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (588), (598), (617), (740), (748), (855)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #988.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (857) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  all_25_11 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (858) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  e13 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (859) are inconsistent
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1172.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (740), (860) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1166.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (861) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (862) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_25_19 = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_13 = e11 & op1(e11, e13) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (588), (865) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #987.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (78), (629), (866) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #986.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)  (all_25_14 = e11 & op1(e11, e12) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (867) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (734), (868) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1010.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (870) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)  all_25_15 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)  (all_25_9 = e12 & op1(e14, e11) = e12) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e12 & op1(e13, e11) = e12)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (52), (56), (65), (131), (872) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1223.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (873) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (598), (874) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1020.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)  (all_25_15 = e12 & op1(e11, e11) = e12) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (871), (876) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #985.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (877) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)  all_25_23 = e12
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)  (all_25_20 = e11 & op1(e10, e14) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_21 = e11 & op1(e10, e13) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (36), (44), (45), (48), (61), (65), (68),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (86), (93), (103), (125), (148), (662),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (879) are inconsistent by sub-proof #1000.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)  (all_25_22 = e11 & op1(e10, e12) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (880) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (105), (108), (110),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (119), (122), (881) are inconsistent
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1266.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)  (all_25_23 = e11 & op1(e10, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (882) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (878), (883) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1127.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (884) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)  all_25_24 = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (885) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)  e11 = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (886) implies:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)  e11 = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (871), (887) imply:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)  all_25_15 = e10
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_10 = e11 & op1(e13, e11) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (78), (88), (658), (889) are inconsistent by
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #983.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (890) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (598), (891) are
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1018.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (892) gives:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (78), (870), (888) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1017.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (878), (893) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1127.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (863), (894) are inconsistent by sub-proof
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1046.
% 245.33/49.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (895) implies:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  all_25_24 = e12
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (896) imply:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)  e12 = e10
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (897) imply:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)  $false
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (898) is inconsistent.
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (899) implies:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)  all_25_22 = e14
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)  op1(e10, e12) = e14
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (44), (45), (46), (48), (53), (61), (65),
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (73), (78), (82), (83), (86), (87),
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (93), (96), (103), (105), (108), (109),
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (111), (114), (119), (121), (122), (125),
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (131), (148), (662), (900), (901) are
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1072.
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (902)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (33), (902) are inconsistent by sub-proof
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (903)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (903) gives:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (904)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (904) implies:
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (905)  all_25_6 = e11
% 245.33/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (588), (598), (617), (905) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1004.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (906)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (588), (907) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #987.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (908)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (908) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (909)  all_25_20 = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (662), (909) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            #1001.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (910)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (910) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (911)  op1(e10, e13) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (46), (65), (911) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1274.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |   (912)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (912) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (913)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (913) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (914)  all_25_22 = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (915)  op1(e10, e12) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (916)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e13, e14) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (916) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (917)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (917) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (918)  all_25_0 = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (918), (920) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1179.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (44), (46), (56), (65), (68), (69),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (87), (96), (131), (921) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (922) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (621), (923) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1028.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (37), (39), (46), (65), (123),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (588), (617), (629), (925) are inconsistent
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1027.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (926) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  all_25_20 = e14
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (44), (45), (46), (48), (53), (61), (65),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (73), (78), (82), (83), (86), (87),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (93), (96), (103), (105), (108), (109),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (111), (114), (119), (121), (122), (125),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (131), (148), (914), (915), (927) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1072.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (33), (928) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (929)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (931)  all_25_6 = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (588), (598), (617), (931) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1004.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (932)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (932) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (588), (933) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #987.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  op1(e10, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (44), (53), (65), (69), (82), (105), (108),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (114), (119), (122), (128), (915), (935)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1203.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (936)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (65), (91), (122), (936) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (937)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (100), (113), (937) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |            sub-proof #1232.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (938)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (46), (48), (61), (65), (68), (69), (82), (83),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (86), (93), (103), (121), (125), (131), (140),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (148), (938) are inconsistent by sub-proof #1192.
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | |   (939)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | REF_CLOSE: (8), (617), (939) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | |            #982.
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | |   (940)  (all_25_8 = e10 & op1(e12, e12) = e10) |
% 245.39/49.33  | | | | | | | | | | | | |          (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.39/49.33  | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.39/49.33  | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | BETA: splitting (940) gives:
% 245.39/49.33  | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | |   (941)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | ALPHA: (941) implies:
% 245.39/49.33  | | | | | | | | | | | | | |   (942)  all_25_8 = e10
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | |   (943)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 245.39/49.33  | | | | | | | | | | | | | | |            = e12 & op1(e12, e13) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | BETA: splitting (943) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (944)  all_25_6 = e12 & op1(e12, e14) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | ALPHA: (944) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | |   (945)  all_25_6 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (946)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.39/49.33  | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | BETA: splitting (946) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (947)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | ALPHA: (947) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (948)  all_25_0 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (37), (41), (44), (45), (46), (48), (52), (54),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (56), (65), (68), (69), (78), (80), (82), (83),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (86), (87), (93), (95), (96), (98), (100), (103),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (113), (121), (125), (130), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (588), (945), (948) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            #979.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (949)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | ALPHA: (949) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (950)  all_25_2 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (30), (33), (36), (44), (46), (65),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (87), (96), (121),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (131), (950) are inconsistent by sub-proof #1281.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (951)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (952)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (121), (131), (945), (952) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            sub-proof #978.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (953)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (36), (37), (39), (44), (45), (46), (48), (53),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (82), (83),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (86), (87), (90), (91), (93), (96), (97), (99),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (119), (120), (121), (122), (125), (128), (131),
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            (140), (148), (588), (953) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | |            sub-proof #1005.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (954)  all_25_7 = e12 & op1(e12, e13) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | ALPHA: (954) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | |   (955)  op1(e12, e13) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (65), (955) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | |            sub-proof #1296.
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | |   (956)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | |          (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | BETA: splitting (956) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (957)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | |   (958)  all_25_8 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (942), (958) imply:
% 245.39/49.33  | | | | | | | | | | | | | | | |   (959)  e12 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (959) imply:
% 245.39/49.33  | | | | | | | | | | | | | | | |   (960)  all_25_2 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (30), (33), (36), (44), (46), (65),
% 245.39/49.33  | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (87), (96), (121),
% 245.39/49.33  | | | | | | | | | | | | | | | |            (131), (960) are inconsistent by sub-proof #1281.
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (961)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | BETA: splitting (961) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (962)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (598), (962) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | |            #1025.
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (963)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (964)  all_25_18 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (15), (17), (18), (23),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (24), (30), (33), (36), (37), (39), (41), (44),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (45), (46), (48), (50), (52), (53), (55), (56),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (61), (65), (68), (69), (73), (78), (80), (82),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (98), (99), (103), (105), (108), (109), (110),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (111), (114), (117), (119), (120), (121), (122),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (123), (125), (128), (130), (131), (139), (140),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (148), (588), (598), (617), (942), (964) are
% 245.39/49.33  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #989.
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | |   (965)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | |          (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 245.39/49.33  | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | |   (966)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.39/49.33  | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.39/49.33  | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | |            (598), (966) are inconsistent by sub-proof #1026.
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | |   (967)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | ALPHA: (967) implies:
% 245.39/49.33  | | | | | | | | | | | | | | |   (968)  all_25_18 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (969)  (all_25_16 = e12 & op1(e14, e10) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | |          (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | REF_CLOSE: (44), (53), (65), (69), (82), (100), (101), (105),
% 245.39/49.33  | | | | | | | | | | | | | | | |            (108), (110), (111), (114), (119), (122), (969)
% 245.39/49.33  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1224.
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | |   (970)  (all_25_18 = e12 & op1(e12, e10) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | |          (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | BETA: splitting (970) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (971)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | ALPHA: (971) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (972)  all_25_18 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.39/49.33  | | | | | | | | | | | | | | | | |            (121), (131), (968), (972) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | |            sub-proof #977.
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | |   (973)  (all_25_19 = e12 & op1(e11, e10) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | | |          (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (974)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | ALPHA: (974) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | |   (975)  all_25_19 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | |   (976)  (all_25_6 = e12 & op1(e12, e14) = e12) | (all_25_7
% 245.39/49.33  | | | | | | | | | | | | | | | | | | |            = e12 & op1(e12, e13) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (976) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (977)  all_25_6 = e12 & op1(e12, e14) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (978)  all_25_6 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |   (979)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (979) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (980)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (981)  all_25_0 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (37), (41), (44), (45), (46), (48), (52), (54),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (56), (65), (68), (69), (78), (80), (82), (83),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (86), (87), (93), (95), (96), (98), (100), (103),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (113), (121), (125), (130), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (588), (978), (981) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            #979.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (982)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (982) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (983)  all_25_2 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (30), (33), (36), (44), (46), (65),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (87), (96), (121),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (131), (983) are inconsistent by sub-proof #1281.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |   (984)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (985)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            (121), (131), (978), (985) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #978.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (986)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (987)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (588), (987) are inconsistent by sub-proof #1021.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (988)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (988) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (989)  all_25_20 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (16), (17), (23), (30),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (33), (36), (39), (44), (45), (46), (48), (53),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (65), (68), (69), (73), (78), (82),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (119), (121), (122), (125), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            (968), (975), (989) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            #1037.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (990)  all_25_7 = e12 & op1(e12, e13) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (990) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (991)  op1(e12, e13) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (65), (991) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |            sub-proof #1296.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | |   (992)  (all_25_8 = e12 & op1(e12, e12) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | |          (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | |          (all_25_18 = e12 & op1(e12, e10) = e12)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (993)  all_25_8 = e12 & op1(e12, e12) = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | |   (994)  all_25_8 = e12
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |   (995)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (995) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (996)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (997)  all_25_6 = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (998)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (998) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (999)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (999) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1000)  all_25_0 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)  (all_25_16 = e11 & op1(e14, e10) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)  all_25_16 = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (36), (46), (52), (65), (98), (130),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (148), (1000), (1003) are inconsistent by
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (140), (148), (1004) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1155.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)  (all_25_18 = e11 & op1(e12, e10) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (78), (968), (975), (1005) are
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1065.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1006)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1006) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_25_2 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (30), (33), (36), (44), (46), (65),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (78), (82), (83), (87), (96), (121),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            (131), (1007) are inconsistent by sub-proof #1281.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |   (1008)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |           (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1008) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1009)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (78), (997), (1009) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |            #1006.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1010)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | |           (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (23), (36), (37), (44), (45),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (65), (68), (69), (82), (83), (86),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (121), (125), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (588), (1011) are inconsistent by sub-proof #1021.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1012) implies:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)  all_25_20 = e10
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (16), (17), (23), (30),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (36), (39), (44), (45), (46), (48), (53),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (65), (68), (69), (73), (78), (82),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (87), (90), (91), (93), (96), (97),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (105), (108), (109), (110), (111), (114),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (119), (121), (122), (125), (131), (140), (148),
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (968), (975), (1013) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | |            #1037.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |   (1014)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (617), (1014) are inconsistent by sub-proof
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | |            #1151.
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |   (1015)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |           (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1015) gives:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | |   (1016)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1016) implies:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | |   (1017)  all_25_8 = e11
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (994), (1017) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | |            #1003.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | |   (1018)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1018) gives:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (44), (45), (48), (65), (68), (69), (86),
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |            (93), (103), (125), (148), (598), (1019) are
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1018.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |   (1020)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1020) implies:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |   (1021)  all_25_18 = e11
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (78), (968), (1021) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | |            #1066.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | |   (1022)  (all_25_11 = e12 & op1(e12, e11) = e12) |
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | |           (all_25_18 = e12 & op1(e12, e10) = e12)
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |   (1023)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (598), (1023) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |            #1025.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |   (1024)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1024) implies:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |   (1025)  all_25_18 = e12
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (30), (33), (36), (44), (46),
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |            (65), (68), (69), (78), (82), (83), (87), (96),
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |            (121), (131), (968), (1025) are inconsistent by
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | |            sub-proof #977.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | |   (1026)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.39/49.34  | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (17), (30), (33), (36), (44),
% 245.39/49.34  | | | | | | | | | | | | | | | | | |            (46), (65), (68), (69), (78), (82), (83), (87),
% 245.39/49.34  | | | | | | | | | | | | | | | | | |            (96), (121), (131), (1026) are inconsistent by
% 245.39/49.34  | | | | | | | | | | | | | | | | | |            sub-proof #1261.
% 245.39/49.34  | | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | |   (1027)  (all_25_13 = e14 & op1(e11, e13) = e14) |
% 245.39/49.34  | | | | | | | | | | | |           (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | BETA: splitting (1027) gives:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | |   (1028)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | ALPHA: (1028) implies:
% 245.39/49.34  | | | | | | | | | | | | |   (1029)  all_25_13 = e14
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (13), (15), (16), (17),
% 245.39/49.34  | | | | | | | | | | | | |            (23), (24), (29), (30), (33), (36), (37), (39),
% 245.39/49.34  | | | | | | | | | | | | |            (41), (43), (44), (45), (46), (48), (50), (51),
% 245.39/49.34  | | | | | | | | | | | | |            (52), (53), (54), (55), (56), (57), (61), (65),
% 245.39/49.34  | | | | | | | | | | | | |            (68), (69), (72), (73), (75), (78), (79), (82),
% 245.39/49.34  | | | | | | | | | | | | |            (83), (84), (86), (87), (88), (90), (91), (93),
% 245.39/49.34  | | | | | | | | | | | | |            (96), (97), (98), (99), (100), (101), (103),
% 245.39/49.34  | | | | | | | | | | | | |            (105), (108), (109), (110), (111), (112), (113),
% 245.39/49.34  | | | | | | | | | | | | |            (114), (115), (117), (119), (120), (121), (122),
% 245.39/49.34  | | | | | | | | | | | | |            (123), (125), (126), (128), (130), (131), (139),
% 245.39/49.34  | | | | | | | | | | | | |            (140), (148), (588), (598), (609), (1029) are
% 245.39/49.34  | | | | | | | | | | | | |            inconsistent by sub-proof #1011.
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | |   (1030)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | ALPHA: (1030) implies:
% 245.39/49.34  | | | | | | | | | | | | |   (1031)  op1(e10, e13) = e14
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | REF_CLOSE: (39), (46), (65), (1031) are inconsistent by
% 245.39/49.34  | | | | | | | | | | | | |            sub-proof #1274.
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | |   (1032)  all_25_18 = e13 & op1(e12, e10) = e13
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | REF_CLOSE: (65), (67), (129), (1032) are inconsistent by
% 245.39/49.34  | | | | | | | | | |            sub-proof #976.
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | End of split
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | Case 2:
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | |   (1033)  all_25_20 = e13 & op1(e10, e14) = e13
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | ALPHA: (1033) implies:
% 245.39/49.34  | | | | | | |   (1034)  all_25_20 = e13
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | REF_CLOSE: (3), (8), (9), (11), (12), (17), (23), (30), (33),
% 245.39/49.34  | | | | | | |            (36), (39), (44), (45), (46), (48), (53), (61), (65),
% 245.39/49.34  | | | | | | |            (68), (69), (73), (78), (82), (83), (86), (87), (90),
% 245.39/49.34  | | | | | | |            (91), (93), (96), (97), (103), (105), (108), (109),
% 245.39/49.34  | | | | | | |            (110), (111), (114), (119), (121), (122), (125), (128),
% 245.39/49.34  | | | | | | |            (131), (148), (1034) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | |            #1030.
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | End of split
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | End of split
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | End of split
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | End of split
% 245.39/49.34  | | | 
% 245.39/49.34  | | Case 2:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (1035)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_16 = e13 &
% 245.39/49.34  | | |             op1(e14, e10) = e13)
% 245.39/49.34  | | | 
% 245.39/49.34  | | | BETA: splitting (1035) gives:
% 245.39/49.34  | | | 
% 245.39/49.34  | | | Case 1:
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | |   (1036)  all_25_9 = e13 & op1(e14, e11) = e13
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | ALPHA: (1036) implies:
% 245.39/49.34  | | | |   (1037)  op1(e14, e11) = e13
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | REF_CLOSE: (29), (52), (65), (1037) are inconsistent by sub-proof #1230.
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | Case 2:
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | |   (1038)  all_25_16 = e13 & op1(e14, e10) = e13
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | ALPHA: (1038) implies:
% 245.39/49.34  | | | |   (1039)  all_25_16 = e13
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | REF_CLOSE: (8), (11), (12), (15), (23), (30), (33), (36), (37), (41),
% 245.39/49.34  | | | |            (44), (45), (46), (48), (52), (54), (65), (68), (69), (78),
% 245.39/49.34  | | | |            (82), (83), (86), (87), (93), (96), (98), (100), (103),
% 245.39/49.34  | | | |            (113), (121), (125), (130), (131), (140), (1039) are
% 245.39/49.34  | | | |            inconsistent by sub-proof #975.
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | End of split
% 245.39/49.34  | | | 
% 245.39/49.34  | | End of split
% 245.39/49.34  | | 
% 245.39/49.34  | End of split
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #975 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)   ~ (e14 = e10)
% 245.39/49.34    (2)  all_25_2 = e12
% 245.39/49.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.34    (4)  all_25_1 = e12
% 245.39/49.34    (5)   ~ (all_14_12 = e13)
% 245.39/49.34    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.34    (7)   ~ (e12 = e11)
% 245.39/49.34    (8)   ~ (e14 = e11)
% 245.39/49.34    (9)  all_25_3 = e11
% 245.39/49.34    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.34            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.34            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.34    (11)   ~ (e13 = e10)
% 245.39/49.34    (12)  op1(e11, e12) = all_14_13
% 245.39/49.34    (13)   ~ (e14 = e13)
% 245.39/49.34    (14)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.34            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.34            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.34    (15)  op1(e14, e11) = all_14_15
% 245.39/49.34    (16)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.39/49.34            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.39/49.34            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.39/49.34    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.34    (18)   ~ (e13 = e11)
% 245.39/49.34    (19)  op1(e13, e12) = e10
% 245.39/49.34    (20)  all_25_16 = e13
% 245.39/49.34    (21)   ~ (e11 = e10)
% 245.39/49.34    (22)   ~ (e13 = e12)
% 245.39/49.34    (23)  op1(e13, e13) = e11
% 245.39/49.34    (24)   ~ (all_14_13 = e13)
% 245.39/49.34    (25)   ~ (e12 = e10)
% 245.39/49.34    (26)   ~ (all_14_14 = e13)
% 245.39/49.34    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.34    (28)   ~ (all_14_15 = e14)
% 245.39/49.34    (29)  op1(e14, e10) = all_14_20
% 245.39/49.34    (30)  op1(e12, e12) = all_14_12
% 245.39/49.34    (31)   ~ (all_14_20 = e10)
% 245.39/49.34    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.34    (33)  op1(e10, e12) = all_14_14
% 245.39/49.34    (34)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.34            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.34            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.34    (35)   ~ (e14 = e12)
% 245.39/49.34    (36)  all_25_17 = e13
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | BETA: splitting (14) gives:
% 245.39/49.34  | 
% 245.39/49.34  | Case 1:
% 245.39/49.34  | | 
% 245.39/49.34  | |   (37)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13,
% 245.39/49.34  | |             e12) = e13)
% 245.39/49.34  | | 
% 245.39/49.34  | | BETA: splitting (37) gives:
% 245.39/49.34  | | 
% 245.39/49.34  | | Case 1:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (38)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.39/49.34  | | | 
% 245.39/49.34  | | | ALPHA: (38) implies:
% 245.39/49.34  | | |   (39)  all_25_4 = e13
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (15),
% 245.39/49.34  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (25), (27),
% 245.39/49.34  | | |            (28), (29), (31), (32), (34), (35), (36), (39) are inconsistent
% 245.39/49.34  | | |            by sub-proof #1130.
% 245.39/49.34  | | | 
% 245.39/49.34  | | Case 2:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (40)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.39/49.34  | | | 
% 245.39/49.34  | | | ALPHA: (40) implies:
% 245.39/49.34  | | |   (41)  op1(e13, e12) = e13
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (11), (17), (19), (41) are inconsistent by sub-proof #1334.
% 245.39/49.34  | | | 
% 245.39/49.34  | | End of split
% 245.39/49.34  | | 
% 245.39/49.34  | Case 2:
% 245.39/49.34  | | 
% 245.39/49.34  | |   (42)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 & op1(e11,
% 245.39/49.34  | |             e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.34  | | 
% 245.39/49.34  | | BETA: splitting (42) gives:
% 245.39/49.34  | | 
% 245.39/49.34  | | Case 1:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (43)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (5), (17), (30), (43) are inconsistent by sub-proof #1245.
% 245.39/49.34  | | | 
% 245.39/49.34  | | Case 2:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (44)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 245.39/49.34  | | |           op1(e10, e12) = e13)
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (12), (17), (24), (26), (33), (44) are inconsistent by
% 245.39/49.34  | | |            sub-proof #1243.
% 245.39/49.34  | | | 
% 245.39/49.34  | | End of split
% 245.39/49.34  | | 
% 245.39/49.34  | End of split
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #976 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)  all_25_18 = e13 & op1(e12, e10) = e13
% 245.39/49.34    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.34           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.34    (3)  op1(e12, e10) = all_14_22
% 245.39/49.34    (4)   ~ (all_14_22 = e13)
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | ALPHA: (1) implies:
% 245.39/49.34  |   (5)  op1(e12, e10) = e13
% 245.39/49.34  | 
% 245.39/49.34  | GROUND_INST: instantiating (2) with all_14_22, e13, e10, e12, simplifying with
% 245.39/49.34  |              (3), (5) gives:
% 245.39/49.34  |   (6)  all_14_22 = e13
% 245.39/49.34  | 
% 245.39/49.34  | REDUCE: (4), (6) imply:
% 245.39/49.34  |   (7)  $false
% 245.39/49.34  | 
% 245.39/49.34  | CLOSE: (7) is inconsistent.
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #977 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)   ~ (e14 = e10)
% 245.39/49.34    (2)  all_25_2 = e12
% 245.39/49.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.34    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.34    (5)   ~ (e12 = e11)
% 245.39/49.34    (6)   ~ (e14 = e11)
% 245.39/49.34    (7)   ~ (e13 = e10)
% 245.39/49.34    (8)   ~ (e14 = e13)
% 245.39/49.34    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.34           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.34    (10)   ~ (e13 = e11)
% 245.39/49.34    (11)  op1(e13, e12) = e10
% 245.39/49.34    (12)   ~ (e11 = e10)
% 245.39/49.34    (13)   ~ (e13 = e12)
% 245.39/49.34    (14)  op1(e13, e13) = e11
% 245.39/49.34    (15)   ~ (e12 = e10)
% 245.39/49.34    (16)  all_25_18 = e10
% 245.39/49.34    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.34    (18)  all_25_18 = e12
% 245.39/49.34    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.34    (20)   ~ (e14 = e12)
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (16), (18) imply:
% 245.39/49.34  |   (21)  e12 = e10
% 245.39/49.34  | 
% 245.39/49.34  | SIMP: (21) implies:
% 245.39/49.34  |   (22)  e12 = e10
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (2), (22) imply:
% 245.39/49.34  |   (23)  all_25_2 = e10
% 245.39/49.34  | 
% 245.39/49.34  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.39/49.34  |            (14), (15), (17), (19), (20), (23) are inconsistent by sub-proof
% 245.39/49.34  |            #1281.
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #978 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)   ~ (e14 = e10)
% 245.39/49.34    (2)  all_25_2 = e12
% 245.39/49.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.34    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.34    (5)   ~ (e12 = e11)
% 245.39/49.34    (6)   ~ (e14 = e11)
% 245.39/49.34    (7)   ~ (e13 = e10)
% 245.39/49.34    (8)   ~ (e14 = e13)
% 245.39/49.34    (9)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.34    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.34    (11)   ~ (e13 = e11)
% 245.39/49.34    (12)  op1(e13, e12) = e10
% 245.39/49.34    (13)   ~ (e11 = e10)
% 245.39/49.34    (14)   ~ (e13 = e12)
% 245.39/49.34    (15)  op1(e13, e13) = e11
% 245.39/49.34    (16)   ~ (e12 = e10)
% 245.39/49.34    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.34    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.34    (19)  all_25_6 = e12
% 245.39/49.34    (20)   ~ (e14 = e12)
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | ALPHA: (9) implies:
% 245.39/49.34  |   (21)  all_25_6 = e10
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (19), (21) imply:
% 245.39/49.34  |   (22)  e12 = e10
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (2), (22) imply:
% 245.39/49.34  |   (23)  all_25_2 = e10
% 245.39/49.34  | 
% 245.39/49.34  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 245.39/49.34  |            (15), (16), (17), (18), (20), (23) are inconsistent by sub-proof
% 245.39/49.34  |            #1281.
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #979 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)   ~ (e14 = e10)
% 245.39/49.34    (2)  all_25_2 = e12
% 245.39/49.34    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.34           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.34           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.34    (4)  all_25_1 = e12
% 245.39/49.34    (5)  all_25_4 = e13
% 245.39/49.34    (6)   ~ (all_14_12 = e13)
% 245.39/49.34    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.34           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.34           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.34    (8)   ~ (e12 = e11)
% 245.39/49.34    (9)   ~ (e14 = e11)
% 245.39/49.34    (10)  all_25_3 = e11
% 245.39/49.34    (11)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.34            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.34            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.34    (12)   ~ (e13 = e10)
% 245.39/49.34    (13)  op1(e11, e12) = all_14_13
% 245.39/49.34    (14)   ~ (e14 = e13)
% 245.39/49.34    (15)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.34            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.34            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.34    (16)  op1(e14, e11) = all_14_15
% 245.39/49.34    (17)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.39/49.34            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.39/49.34            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.39/49.34    (18)  op1(e13, e11) = e14
% 245.39/49.34    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.34            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.34    (20)   ~ (e13 = e11)
% 245.39/49.34    (21)  op1(e13, e12) = e10
% 245.39/49.34    (22)  all_25_12 = e13
% 245.39/49.34    (23)   ~ (e11 = e10)
% 245.39/49.34    (24)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.39/49.34            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.34            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.34    (25)   ~ (e13 = e12)
% 245.39/49.34    (26)  op1(e13, e13) = e11
% 245.39/49.34    (27)   ~ (all_14_13 = e13)
% 245.39/49.34    (28)   ~ (e12 = e10)
% 245.39/49.34    (29)   ~ (all_14_14 = e13)
% 245.39/49.34    (30)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.39/49.34            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.39/49.34            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.34    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.34            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.34            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.34    (32)  all_25_0 = e10
% 245.39/49.34    (33)   ~ (all_14_15 = e14)
% 245.39/49.34    (34)  op1(e14, e10) = all_14_20
% 245.39/49.34    (35)  op1(e12, e12) = all_14_12
% 245.39/49.34    (36)   ~ (all_14_20 = e10)
% 245.39/49.34    (37)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.34            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.34            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.34    (38)  all_25_6 = e12
% 245.39/49.34    (39)  op1(e10, e12) = all_14_14
% 245.39/49.34    (40)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.34            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.34            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.34    (41)   ~ (e14 = e12)
% 245.39/49.34    (42)  all_25_17 = e13
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | BETA: splitting (40) gives:
% 245.39/49.34  | 
% 245.39/49.34  | Case 1:
% 245.39/49.34  | | 
% 245.39/49.34  | |   (43)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.39/49.34  | |             e13) = e14)
% 245.39/49.34  | | 
% 245.39/49.34  | | BETA: splitting (43) gives:
% 245.39/49.34  | | 
% 245.39/49.34  | | Case 1:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (44)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (1), (32), (44) are inconsistent by sub-proof #1220.
% 245.39/49.34  | | | 
% 245.39/49.34  | | Case 2:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (45)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (4), (41), (45) are inconsistent by sub-proof #1292.
% 245.39/49.34  | | | 
% 245.39/49.34  | | End of split
% 245.39/49.34  | | 
% 245.39/49.34  | Case 2:
% 245.39/49.34  | | 
% 245.39/49.34  | |   (46)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.39/49.34  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.34  | | 
% 245.39/49.34  | | BETA: splitting (46) gives:
% 245.39/49.34  | | 
% 245.39/49.34  | | Case 1:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (47)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.39/49.34  | | | 
% 245.39/49.34  | | | REF_CLOSE: (5), (14), (47) are inconsistent by sub-proof #1236.
% 245.39/49.34  | | | 
% 245.39/49.34  | | Case 2:
% 245.39/49.34  | | | 
% 245.39/49.34  | | |   (48)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 245.39/49.34  | | |           op1(e14, e10) = e14)
% 245.39/49.34  | | | 
% 245.39/49.34  | | | BETA: splitting (48) gives:
% 245.39/49.34  | | | 
% 245.39/49.34  | | | Case 1:
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | |   (49)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | REF_CLOSE: (16), (19), (33), (49) are inconsistent by sub-proof #1340.
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | Case 2:
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | |   (50)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | ALPHA: (50) implies:
% 245.39/49.34  | | | |   (51)  all_25_16 = e14
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | BETA: splitting (24) gives:
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | | Case 1:
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | |   (52)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 245.39/49.34  | | | | |           op1(e13, e14) = e14)
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | | BETA: splitting (52) gives:
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | | Case 1:
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | |   (53)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | | REF_CLOSE: (1), (32), (53) are inconsistent by sub-proof #1220.
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | Case 2:
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | |   (54)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | | REF_CLOSE: (3), (8), (12), (14), (18), (19), (20), (21), (25), (26),
% 245.39/49.34  | | | | | |            (28), (31), (41), (54) are inconsistent by sub-proof
% 245.39/49.34  | | | | | |            #1185.
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | End of split
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | Case 2:
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | |   (55)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.34  | | | | |           op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) =
% 245.39/49.34  | | | | |           e14)
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | | BETA: splitting (55) gives:
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | | Case 1:
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | |   (56)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | | REF_CLOSE: (38), (41), (56) are inconsistent by sub-proof #981.
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | Case 2:
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | |   (57)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.39/49.34  | | | | | |           op1(e10, e14) = e14)
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | | BETA: splitting (57) gives:
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | | Case 1:
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | |   (58)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | ALPHA: (58) implies:
% 245.39/49.34  | | | | | | |   (59)  all_25_12 = e14
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | COMBINE_EQS: (22), (59) imply:
% 245.39/49.34  | | | | | | |   (60)  e14 = e13
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11),
% 245.39/49.34  | | | | | | |            (12), (14), (16), (17), (19), (20), (21), (23), (25),
% 245.39/49.34  | | | | | | |            (26), (28), (31), (33), (34), (36), (37), (40), (41),
% 245.39/49.34  | | | | | | |            (42), (51), (60) are inconsistent by sub-proof #1129.
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | Case 2:
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | |   (61)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | ALPHA: (61) implies:
% 245.39/49.34  | | | | | | |   (62)  all_25_20 = e14
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | BETA: splitting (11) gives:
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | |   (63)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11
% 245.39/49.34  | | | | | | | |           & op1(e14, e13) = e11)
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | | BETA: splitting (63) gives:
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | |   (64)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | REF_CLOSE: (23), (32), (64) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | |            #1222.
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | |   (65)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | REF_CLOSE: (4), (8), (65) are inconsistent by sub-proof #1240.
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | |   (66)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11
% 245.39/49.34  | | | | | | | |           & op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14,
% 245.39/49.34  | | | | | | | |             e10) = e11)
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | | BETA: splitting (66) gives:
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | |   (67)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | ALPHA: (67) implies:
% 245.39/49.34  | | | | | | | | |   (68)  all_25_4 = e11
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | REF_CLOSE: (6), (12), (13), (15), (19), (20), (21), (27),
% 245.39/49.34  | | | | | | | | |            (29), (35), (39), (68) are inconsistent by
% 245.39/49.34  | | | | | | | | |            sub-proof #1239.
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | |   (69)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 =
% 245.39/49.34  | | | | | | | | |           e11 & op1(e14, e10) = e11)
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | BETA: splitting (69) gives:
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | |   (70)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | ALPHA: (70) implies:
% 245.39/49.34  | | | | | | | | | |   (71)  all_25_9 = e11
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | BETA: splitting (30) gives:
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | |   (72)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2
% 245.39/49.34  | | | | | | | | | | |           = e11 & op1(e13, e14) = e11)
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | BETA: splitting (72) gives:
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | |   (73)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | ALPHA: (73) implies:
% 245.39/49.34  | | | | | | | | | | | |   (74)  all_25_0 = e11
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | COMBINE_EQS: (32), (74) imply:
% 245.39/49.34  | | | | | | | | | | | |   (75)  e11 = e10
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | SIMP: (75) implies:
% 245.39/49.34  | | | | | | | | | | | |   (76)  e11 = e10
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | COMBINE_EQS: (71), (76) imply:
% 245.39/49.34  | | | | | | | | | | | |   (77)  all_25_9 = e10
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (8), (9), (11), (14), (16), (19),
% 245.39/49.34  | | | | | | | | | | | |            (20), (23), (32), (33), (40), (41), (77) are
% 245.39/49.34  | | | | | | | | | | | |            inconsistent by sub-proof #1218.
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | |   (78)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | REF_CLOSE: (2), (8), (78) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | | | |            #1189.
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | |   (79)  (all_25_6 = e11 & op1(e12, e14) = e11) |
% 245.39/49.34  | | | | | | | | | | |         (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.39/49.34  | | | | | | | | | | |         (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | BETA: splitting (79) gives:
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | |   (80)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | REF_CLOSE: (8), (38), (80) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | | | |            #980.
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | |   (81)  (all_25_12 = e11 & op1(e11, e14) = e11) |
% 245.39/49.34  | | | | | | | | | | | |         (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | BETA: splitting (81) gives:
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | Case 1:
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | |   (82)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12), (13), (15), (19), (20), (21),
% 245.39/49.34  | | | | | | | | | | | | |            (22), (27), (29), (35), (39), (82) are
% 245.39/49.34  | | | | | | | | | | | | |            inconsistent by sub-proof #987.
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | |   (83)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (9), (14), (16), (19), (32), (33),
% 245.39/49.34  | | | | | | | | | | | | |            (40), (41), (51), (62), (83) are inconsistent by
% 245.39/49.34  | | | | | | | | | | | | |            sub-proof #1128.
% 245.39/49.34  | | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | Case 2:
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | |   (84)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | ALPHA: (84) implies:
% 245.39/49.34  | | | | | | | | | |   (85)  all_25_16 = e11
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (9), (14), (16), (19), (32), (33),
% 245.39/49.34  | | | | | | | | | |            (40), (41), (85) are inconsistent by sub-proof
% 245.39/49.34  | | | | | | | | | |            #1219.
% 245.39/49.34  | | | | | | | | | | 
% 245.39/49.34  | | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | | 
% 245.39/49.34  | | | | | | | | End of split
% 245.39/49.34  | | | | | | | | 
% 245.39/49.34  | | | | | | | End of split
% 245.39/49.34  | | | | | | | 
% 245.39/49.34  | | | | | | End of split
% 245.39/49.34  | | | | | | 
% 245.39/49.34  | | | | | End of split
% 245.39/49.34  | | | | | 
% 245.39/49.34  | | | | End of split
% 245.39/49.34  | | | | 
% 245.39/49.34  | | | End of split
% 245.39/49.34  | | | 
% 245.39/49.34  | | End of split
% 245.39/49.34  | | 
% 245.39/49.34  | End of split
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #980 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.39/49.34    (2)  all_25_6 = e12
% 245.39/49.34    (3)   ~ (e12 = e11)
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | ALPHA: (1) implies:
% 245.39/49.34  |   (4)  all_25_6 = e11
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.34  |   (5)  e12 = e11
% 245.39/49.34  | 
% 245.39/49.34  | REDUCE: (3), (5) imply:
% 245.39/49.34  |   (6)  $false
% 245.39/49.34  | 
% 245.39/49.34  | CLOSE: (6) is inconsistent.
% 245.39/49.34  | 
% 245.39/49.34  End of proof
% 245.39/49.34  
% 245.39/49.34  Sub-proof #981 shows that the following formulas are inconsistent:
% 245.39/49.34  ----------------------------------------------------------------
% 245.39/49.34    (1)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.39/49.34    (2)  all_25_6 = e12
% 245.39/49.34    (3)   ~ (e14 = e12)
% 245.39/49.34  
% 245.39/49.34  Begin of proof
% 245.39/49.34  | 
% 245.39/49.34  | ALPHA: (1) implies:
% 245.39/49.34  |   (4)  all_25_6 = e14
% 245.39/49.34  | 
% 245.39/49.34  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.34  |   (5)  e14 = e12
% 245.39/49.34  | 
% 245.39/49.35  | SIMP: (5) implies:
% 245.39/49.35  |   (6)  e14 = e12
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (3), (6) imply:
% 245.39/49.35  |   (7)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (7) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #982 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.39/49.35    (2)  all_25_7 = e14
% 245.39/49.35    (3)   ~ (e14 = e10)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (1) implies:
% 245.39/49.35  |   (4)  all_25_7 = e10
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.35  |   (5)  e14 = e10
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (3), (5) imply:
% 245.39/49.35  |   (6)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (6) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #983 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_9 = e10
% 245.39/49.35    (2)   ~ (e14 = e11)
% 245.39/49.35    (3)   ~ (e11 = e10)
% 245.39/49.35    (4)  all_25_10 = e14
% 245.39/49.35    (5)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 245.39/49.35           = e11)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | BETA: splitting (5) gives:
% 245.39/49.35  | 
% 245.39/49.35  | Case 1:
% 245.39/49.35  | | 
% 245.39/49.35  | |   (6)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.39/49.35  | | 
% 245.39/49.35  | | ALPHA: (6) implies:
% 245.39/49.35  | |   (7)  all_25_9 = e11
% 245.39/49.35  | | 
% 245.39/49.35  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #1238.
% 245.39/49.35  | | 
% 245.39/49.35  | Case 2:
% 245.39/49.35  | | 
% 245.39/49.35  | |   (8)  all_25_10 = e11 & op1(e13, e11) = e11
% 245.39/49.35  | | 
% 245.39/49.35  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #984.
% 245.39/49.35  | | 
% 245.39/49.35  | End of split
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #984 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_10 = e11 & op1(e13, e11) = e11
% 245.39/49.35    (2)  all_25_10 = e14
% 245.39/49.35    (3)   ~ (e14 = e11)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (1) implies:
% 245.39/49.35  |   (4)  all_25_10 = e11
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.35  |   (5)  e14 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (3), (5) imply:
% 245.39/49.35  |   (6)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (6) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #985 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.39/49.35    (2)  all_25_15 = e11
% 245.39/49.35    (3)   ~ (e12 = e11)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (1) implies:
% 245.39/49.35  |   (4)  all_25_15 = e12
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.35  |   (5)  e12 = e11
% 245.39/49.35  | 
% 245.39/49.35  | SIMP: (5) implies:
% 245.39/49.35  |   (6)  e12 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (3), (6) imply:
% 245.39/49.35  |   (7)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (7) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #986 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.39/49.35    (2)  all_25_13 = e10
% 245.39/49.35    (3)   ~ (e11 = e10)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (1) implies:
% 245.39/49.35  |   (4)  all_25_13 = e11
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.35  |   (5)  e11 = e10
% 245.39/49.35  | 
% 245.39/49.35  | SIMP: (5) implies:
% 245.39/49.35  |   (6)  e11 = e10
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (3), (6) imply:
% 245.39/49.35  |   (7)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (7) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #987 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  all_25_4 = e13
% 245.39/49.35    (2)   ~ (all_14_12 = e13)
% 245.39/49.35    (3)   ~ (e13 = e10)
% 245.39/49.35    (4)  op1(e11, e12) = all_14_13
% 245.39/49.35    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.35           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.35           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.35    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (7)   ~ (e13 = e11)
% 245.39/49.35    (8)  op1(e13, e12) = e10
% 245.39/49.35    (9)  all_25_12 = e13
% 245.39/49.35    (10)   ~ (all_14_13 = e13)
% 245.39/49.35    (11)   ~ (all_14_14 = e13)
% 245.39/49.35    (12)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.39/49.35    (13)  op1(e12, e12) = all_14_12
% 245.39/49.35    (14)  op1(e10, e12) = all_14_14
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (12) implies:
% 245.39/49.35  |   (15)  all_25_12 = e11
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (9), (15) imply:
% 245.39/49.35  |   (16)  e13 = e11
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (1), (16) imply:
% 245.39/49.35  |   (17)  all_25_4 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14), (17) are
% 245.39/49.35  |            inconsistent by sub-proof #1239.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #988 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.35             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.39/49.35           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.35    (2)   ~ (e14 = e10)
% 245.39/49.35    (3)  op1(e10, e13) = all_14_9
% 245.39/49.35    (4)  all_25_2 = e12
% 245.39/49.35    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.35           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.35           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.35    (6)  all_25_1 = e12
% 245.39/49.35    (7)  all_25_24 = e10
% 245.39/49.35    (8)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.39/49.35           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.39/49.35           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.39/49.35    (9)  all_25_4 = e13
% 245.39/49.35    (10)   ~ (all_14_12 = e13)
% 245.39/49.35    (11)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.39/49.35              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.39/49.35            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.39/49.35    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.35            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.35            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.35    (13)  all_25_8 = e11
% 245.39/49.35    (14)   ~ (e12 = e11)
% 245.39/49.35    (15)   ~ (e14 = e11)
% 245.39/49.35    (16)  all_25_3 = e11
% 245.39/49.35    (17)  op1(e10, e13) = e13
% 245.39/49.35    (18)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.35            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.35            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.35    (19)   ~ (e13 = e10)
% 245.39/49.35    (20)  op1(e11, e12) = all_14_13
% 245.39/49.35    (21)   ~ (e14 = e13)
% 245.39/49.35    (22)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.35            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.35            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.35    (23)   ~ (all_14_15 = e12)
% 245.39/49.35    (24)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.39/49.35    (25)  all_25_11 = e13
% 245.39/49.35    (26)  op1(e14, e11) = all_14_15
% 245.39/49.35    (27)  op1(e13, unit1) = e13
% 245.39/49.35    (28)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.39/49.35            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.39/49.35            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.35    (29)  op1(e13, e11) = e14
% 245.39/49.35    (30)  all_25_21 = e13
% 245.39/49.35    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (32)   ~ (e13 = e11)
% 245.39/49.35    (33)  op1(e13, e12) = e10
% 245.39/49.35    (34)  all_25_12 = e13
% 245.39/49.35    (35)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.39/49.35              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.39/49.35            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.35    (36)   ~ (e11 = e10)
% 245.39/49.35    (37)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.39/49.35            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.35            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.35    (38)   ~ (e13 = e12)
% 245.39/49.35    (39)  op1(e13, e13) = e11
% 245.39/49.35    (40)   ~ (all_14_13 = e13)
% 245.39/49.35    (41)   ~ (e12 = e10)
% 245.39/49.35    (42)   ~ (all_14_9 = e12)
% 245.39/49.35    (43)   ~ (all_14_19 = e14)
% 245.39/49.35    (44)   ~ (all_14_14 = e13)
% 245.39/49.35    (45)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.35            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.35            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.35    (46)  all_25_7 = e14
% 245.39/49.35    (47)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.39/49.35              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.39/49.35            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.35    (48)   ~ (all_14_15 = e14)
% 245.39/49.35    (49)   ~ (all_14_19 = e13)
% 245.39/49.35    (50)  op1(e12, e12) = all_14_12
% 245.39/49.35    (51)  op1(e10, unit1) = e10
% 245.39/49.35    (52)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.39/49.35    (53)  op1(unit1, e14) = e14
% 245.39/49.35    (54)  op1(e14, e12) = all_14_10
% 245.39/49.35    (55)  all_25_18 = e12
% 245.39/49.35    (56)   ~ (all_14_10 = e12)
% 245.39/49.35    (57)   ~ (all_14_19 = e10)
% 245.39/49.35    (58)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.39/49.35            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.39/49.35            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.39/49.35    (59)  op1(unit1, e12) = e12
% 245.39/49.35    (60)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.39/49.35              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.39/49.35            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.39/49.35    (61)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.35            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.35            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.35    (62)  op1(e10, e11) = all_14_19
% 245.39/49.35    (63)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.35            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.39/49.35            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.39/49.35    (64)  op1(e10, e12) = all_14_14
% 245.39/49.35    (65)  op1(e13, e14) = e12
% 245.39/49.35    (66)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.35            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.35            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.35    (67)   ~ (e14 = e12)
% 245.39/49.35    (68)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.39/49.35            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.39/49.35            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.35    (69)  all_25_17 = e13
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (24) implies:
% 245.39/49.35  |   (70)  all_25_24 = e11
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (7), (70) imply:
% 245.39/49.35  |   (71)  e11 = e10
% 245.39/49.35  | 
% 245.39/49.35  | SIMP: (71) implies:
% 245.39/49.35  |   (72)  e11 = e10
% 245.39/49.35  | 
% 245.39/49.35  | COMBINE_EQS: (13), (72) imply:
% 245.39/49.35  |   (73)  all_25_8 = e10
% 245.39/49.35  | 
% 245.39/49.35  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.39/49.35  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (25),
% 245.39/49.35  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.39/49.35  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.39/49.35  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 245.39/49.35  |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 245.39/49.35  |            (73) are inconsistent by sub-proof #989.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #989 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.35             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.39/49.35           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.35    (2)   ~ (e14 = e10)
% 245.39/49.35    (3)  op1(e10, e13) = all_14_9
% 245.39/49.35    (4)  all_25_2 = e12
% 245.39/49.35    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.35           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.35           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.35    (6)  all_25_1 = e12
% 245.39/49.35    (7)  all_25_24 = e10
% 245.39/49.35    (8)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.39/49.35           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.39/49.35           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.39/49.35    (9)  all_25_4 = e13
% 245.39/49.35    (10)   ~ (all_14_12 = e13)
% 245.39/49.35    (11)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.39/49.35              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.39/49.35            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.39/49.35    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.35            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.35            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.35    (13)   ~ (e12 = e11)
% 245.39/49.35    (14)   ~ (e14 = e11)
% 245.39/49.35    (15)  all_25_3 = e11
% 245.39/49.35    (16)  op1(e10, e13) = e13
% 245.39/49.35    (17)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.35            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.35            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.35    (18)   ~ (e13 = e10)
% 245.39/49.35    (19)  op1(e11, e12) = all_14_13
% 245.39/49.35    (20)   ~ (e14 = e13)
% 245.39/49.35    (21)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.35            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.35            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.35    (22)   ~ (all_14_15 = e12)
% 245.39/49.35    (23)  all_25_11 = e13
% 245.39/49.35    (24)  op1(e14, e11) = all_14_15
% 245.39/49.35    (25)  op1(e13, unit1) = e13
% 245.39/49.35    (26)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.39/49.35            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.39/49.35            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.35    (27)  op1(e13, e11) = e14
% 245.39/49.35    (28)  all_25_21 = e13
% 245.39/49.35    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (30)   ~ (e13 = e11)
% 245.39/49.35    (31)  op1(e13, e12) = e10
% 245.39/49.35    (32)  all_25_12 = e13
% 245.39/49.35    (33)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.39/49.35              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.39/49.35            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.35    (34)   ~ (e11 = e10)
% 245.39/49.35    (35)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.39/49.35            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.35            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.35    (36)   ~ (e13 = e12)
% 245.39/49.35    (37)  op1(e13, e13) = e11
% 245.39/49.35    (38)   ~ (all_14_13 = e13)
% 245.39/49.35    (39)   ~ (e12 = e10)
% 245.39/49.35    (40)   ~ (all_14_9 = e12)
% 245.39/49.35    (41)   ~ (all_14_19 = e14)
% 245.39/49.35    (42)   ~ (all_14_14 = e13)
% 245.39/49.35    (43)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.35            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.35            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.35    (44)  all_25_7 = e14
% 245.39/49.35    (45)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.39/49.35              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.39/49.35            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.35    (46)   ~ (all_14_15 = e14)
% 245.39/49.35    (47)   ~ (all_14_19 = e13)
% 245.39/49.35    (48)  op1(e12, e12) = all_14_12
% 245.39/49.35    (49)  all_25_8 = e10
% 245.39/49.35    (50)  op1(e10, unit1) = e10
% 245.39/49.35    (51)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.39/49.35    (52)  op1(unit1, e14) = e14
% 245.39/49.35    (53)  op1(e14, e12) = all_14_10
% 245.39/49.35    (54)  all_25_18 = e12
% 245.39/49.35    (55)   ~ (all_14_10 = e12)
% 245.39/49.35    (56)   ~ (all_14_19 = e10)
% 245.39/49.35    (57)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.39/49.35            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.39/49.35            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.39/49.35    (58)  op1(unit1, e12) = e12
% 245.39/49.35    (59)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.39/49.35              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.39/49.35            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.39/49.35    (60)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.35            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.35            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.35    (61)  op1(e10, e11) = all_14_19
% 245.39/49.35    (62)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.35            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.39/49.35            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.39/49.35    (63)  op1(e10, e12) = all_14_14
% 245.39/49.35    (64)  op1(e13, e14) = e12
% 245.39/49.35    (65)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.35            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.35            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.35    (66)   ~ (e14 = e12)
% 245.39/49.35    (67)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.39/49.35            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.39/49.35            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.35    (68)  all_25_17 = e13
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | BETA: splitting (67) gives:
% 245.39/49.35  | 
% 245.39/49.35  | Case 1:
% 245.39/49.35  | | 
% 245.39/49.35  | |   (69)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 245.39/49.35  | |             e13) = e11)
% 245.39/49.35  | | 
% 245.39/49.35  | | BETA: splitting (69) gives:
% 245.39/49.35  | | 
% 245.39/49.35  | | Case 1:
% 245.39/49.35  | | | 
% 245.39/49.35  | | |   (70)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.39/49.35  | | | 
% 245.39/49.35  | | | ALPHA: (70) implies:
% 245.39/49.35  | | |   (71)  all_25_6 = e11
% 245.39/49.35  | | | 
% 245.39/49.35  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.39/49.35  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.39/49.35  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 245.39/49.35  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 245.39/49.35  | | |            (43), (44), (45), (46), (47), (48), (50), (51), (52), (53),
% 245.39/49.35  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 245.39/49.35  | | |            (65), (66), (68), (71) are inconsistent by sub-proof #1004.
% 245.39/49.35  | | | 
% 245.39/49.35  | | Case 2:
% 245.39/49.35  | | | 
% 245.39/49.35  | | |   (72)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.39/49.35  | | | 
% 245.39/49.35  | | | REF_CLOSE: (14), (44), (72) are inconsistent by sub-proof #1151.
% 245.39/49.35  | | | 
% 245.39/49.35  | | End of split
% 245.39/49.35  | | 
% 245.39/49.35  | Case 2:
% 245.39/49.35  | | 
% 245.39/49.35  | |   (73)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 & op1(e12,
% 245.39/49.35  | |             e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.35  | | 
% 245.39/49.35  | | BETA: splitting (73) gives:
% 245.39/49.35  | | 
% 245.39/49.35  | | Case 1:
% 245.39/49.35  | | | 
% 245.39/49.35  | | |   (74)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.39/49.35  | | | 
% 245.39/49.35  | | | ALPHA: (74) implies:
% 245.39/49.35  | | |   (75)  all_25_8 = e11
% 245.39/49.35  | | | 
% 245.39/49.35  | | | COMBINE_EQS: (49), (75) imply:
% 245.39/49.35  | | |   (76)  e11 = e10
% 245.39/49.35  | | | 
% 245.39/49.35  | | | REDUCE: (34), (76) imply:
% 245.39/49.35  | | |   (77)  $false
% 245.39/49.35  | | | 
% 245.39/49.35  | | | CLOSE: (77) is inconsistent.
% 245.39/49.35  | | | 
% 245.39/49.35  | | Case 2:
% 245.39/49.35  | | | 
% 245.39/49.35  | | |   (78)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 245.39/49.35  | | |           op1(e12, e10) = e11)
% 245.39/49.35  | | | 
% 245.39/49.35  | | | BETA: splitting (78) gives:
% 245.39/49.35  | | | 
% 245.39/49.35  | | | Case 1:
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | |   (79)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | | REF_CLOSE: (9), (10), (18), (19), (21), (23), (29), (30), (31), (38),
% 245.39/49.35  | | | |            (42), (48), (63), (79) are inconsistent by sub-proof #1018.
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | Case 2:
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | |   (80)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | | REF_CLOSE: (13), (54), (80) are inconsistent by sub-proof #1148.
% 245.39/49.35  | | | | 
% 245.39/49.35  | | | End of split
% 245.39/49.35  | | | 
% 245.39/49.35  | | End of split
% 245.39/49.35  | | 
% 245.39/49.35  | End of split
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #990 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)   ~ (all_23_58 = all_23_59)
% 245.39/49.35    (2)  op1(e10, e11) = e11
% 245.39/49.35    (3)  op1(e11, e10) = all_23_59
% 245.39/49.35    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (5)  op1(e10, e11) = all_23_58
% 245.39/49.35    (6)  op1(e11, e10) = e11
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (4) with e11, all_23_58, e11, e10, simplifying with
% 245.39/49.35  |              (2), (5) gives:
% 245.39/49.35  |   (7)  all_23_58 = e11
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (4) with e11, all_23_59, e10, e11, simplifying with
% 245.39/49.35  |              (3), (6) gives:
% 245.39/49.35  |   (8)  all_23_59 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (1), (7), (8) imply:
% 245.39/49.35  |   (9)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (9) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #991 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  op1(e11, e13) = e10
% 245.39/49.35    (2)  op1(e10, e13) = e13
% 245.39/49.35    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (4)   ~ (e13 = e11)
% 245.39/49.35    (5)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~ (all_23_36 = all_23_37) &
% 245.39/49.35         op1(all_23_36, e13) = e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.39/49.35           e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_34) &
% 245.39/49.35         $i(all_23_36) & $i(all_23_37)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (5) implies:
% 245.39/49.35  |   (6)  op1(e11, e13) = all_23_36
% 245.39/49.35  |   (7)  op1(all_23_36, e13) = e11
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e10, all_23_36, e13, e11, simplifying with
% 245.39/49.35  |              (1), (6) gives:
% 245.39/49.35  |   (8)  all_23_36 = e10
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (7), (8) imply:
% 245.39/49.35  |   (9)  op1(e10, e13) = e11
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e13, e11, e13, e10, simplifying with (2),
% 245.39/49.35  |              (9) gives:
% 245.39/49.35  |   (10)  e13 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (4), (10) imply:
% 245.39/49.35  |   (11)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (11) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #992 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)   ~ (e12 = e11)
% 245.39/49.35    (2)  op1(e11, e14) = all_23_32
% 245.39/49.35    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (4)  op1(all_23_32, e14) = e11
% 245.39/49.35    (5)  op1(e11, e14) = e13
% 245.39/49.35    (6)  op1(e13, e14) = e12
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e13, all_23_32, e14, e11, simplifying with
% 245.39/49.35  |              (2), (5) gives:
% 245.39/49.35  |   (7)  all_23_32 = e13
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (4), (7) imply:
% 245.39/49.35  |   (8)  op1(e13, e14) = e11
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e12, e11, e14, e13, simplifying with (6),
% 245.39/49.35  |              (8) gives:
% 245.39/49.35  |   (9)  e12 = e11
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (1), (9) imply:
% 245.39/49.35  |   (10)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (10) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #993 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  op1(e10, e12) = e12
% 245.39/49.35    (2)  op1(e10, e12) = all_23_54
% 245.39/49.35    (3)  op1(e12, e10) = e12
% 245.39/49.35    (4)   ~ (all_23_54 = all_23_55)
% 245.39/49.35    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (6)  op1(e12, e10) = all_23_55
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (5) with e12, all_23_54, e12, e10, simplifying with
% 245.39/49.35  |              (1), (2) gives:
% 245.39/49.35  |   (7)  all_23_54 = e12
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (5) with e12, all_23_55, e10, e12, simplifying with
% 245.39/49.35  |              (3), (6) gives:
% 245.39/49.35  |   (8)  all_23_55 = e12
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (4), (7), (8) imply:
% 245.39/49.35  |   (9)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (9) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #994 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  op1(e12, e11) = e13
% 245.39/49.35    (2)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 245.39/49.35         op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.39/49.35           e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 245.39/49.35         $i(all_23_40) & $i(all_23_41)
% 245.39/49.35    (3)  op1(e13, e11) = e14
% 245.39/49.35    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (5)   ~ (e14 = e12)
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | ALPHA: (2) implies:
% 245.39/49.35  |   (6)  op1(e12, e11) = all_23_41
% 245.39/49.35  |   (7)  op1(all_23_41, e11) = e12
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (4) with e13, all_23_41, e11, e12, simplifying with
% 245.39/49.35  |              (1), (6) gives:
% 245.39/49.35  |   (8)  all_23_41 = e13
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (7), (8) imply:
% 245.39/49.35  |   (9)  op1(e13, e11) = e12
% 245.39/49.35  | 
% 245.39/49.35  | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1336.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #995 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.35    (1)  op1(e12, e13) = e14
% 245.39/49.35    (2)   ~ (all_23_22 = e13)
% 245.39/49.35    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.35           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.35    (4)  op1(e14, e12) = e13
% 245.39/49.35    (5)  op1(all_23_24, e12) = all_23_22
% 245.39/49.35    (6)  op1(e12, e13) = all_23_24
% 245.39/49.35  
% 245.39/49.35  Begin of proof
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e14, all_23_24, e13, e12, simplifying with
% 245.39/49.35  |              (1), (6) gives:
% 245.39/49.35  |   (7)  all_23_24 = e14
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (5), (7) imply:
% 245.39/49.35  |   (8)  op1(e14, e12) = all_23_22
% 245.39/49.35  | 
% 245.39/49.35  | GROUND_INST: instantiating (3) with e13, all_23_22, e12, e14, simplifying with
% 245.39/49.35  |              (4), (8) gives:
% 245.39/49.35  |   (9)  all_23_22 = e13
% 245.39/49.35  | 
% 245.39/49.35  | REDUCE: (2), (9) imply:
% 245.39/49.35  |   (10)  $false
% 245.39/49.35  | 
% 245.39/49.35  | CLOSE: (10) is inconsistent.
% 245.39/49.35  | 
% 245.39/49.35  End of proof
% 245.39/49.35  
% 245.39/49.35  Sub-proof #996 shows that the following formulas are inconsistent:
% 245.39/49.35  ----------------------------------------------------------------
% 245.39/49.36    (1)   ~ (all_14_15 = e13)
% 245.39/49.36    (2)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~ (all_23_24 = all_23_25) &
% 245.39/49.36           op1(all_23_25, e13) = all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.39/49.36             e12) = all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_12) &
% 245.39/49.36           $i(all_23_24) & $i(all_23_25)) | (all_23_15 = e13 &  ~ (all_23_14 =
% 245.39/49.36             e11) &  ~ (all_23_36 = all_23_37) & op1(all_23_37, e13) = all_23_14 &
% 245.39/49.36           op1(all_23_37, e11) = e13 & op1(e13, e11) = all_23_37 & op1(e11, e13) =
% 245.39/49.36           all_23_36 & $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 245.39/49.36    (3)  op1(e14, e11) = all_14_15
% 245.39/49.36    (4)  op1(e13, e11) = e14
% 245.39/49.36    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (6)  op1(e13, e12) = e10
% 245.39/49.36    (7)   ~ (all_14_14 = e13)
% 245.39/49.36    (8)  op1(e10, e12) = all_14_14
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | BETA: splitting (2) gives:
% 245.39/49.36  | 
% 245.39/49.36  | Case 1:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (9)  all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~ (all_23_24 = all_23_25) &
% 245.39/49.36  | |        op1(all_23_25, e13) = all_23_12 & op1(all_23_25, e12) = e13 &
% 245.39/49.36  | |        op1(e13, e12) = all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_12)
% 245.39/49.36  | |        & $i(all_23_24) & $i(all_23_25)
% 245.39/49.36  | | 
% 245.39/49.36  | | ALPHA: (9) implies:
% 245.39/49.36  | |   (10)  op1(e13, e12) = all_23_25
% 245.39/49.36  | |   (11)  op1(all_23_25, e12) = e13
% 245.39/49.36  | | 
% 245.39/49.36  | | GROUND_INST: instantiating (5) with e10, all_23_25, e12, e13, simplifying
% 245.39/49.36  | |              with (6), (10) gives:
% 245.39/49.36  | |   (12)  all_23_25 = e10
% 245.39/49.36  | | 
% 245.39/49.36  | | REDUCE: (11), (12) imply:
% 245.39/49.36  | |   (13)  op1(e10, e12) = e13
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (5), (7), (8), (13) are inconsistent by sub-proof #1254.
% 245.39/49.36  | | 
% 245.39/49.36  | Case 2:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (14)  all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37)
% 245.39/49.36  | |         & op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 &
% 245.39/49.36  | |         op1(e13, e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.39/49.36  | |         $i(all_23_14) & $i(all_23_36) & $i(all_23_37)
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (1), (3), (4), (5), (14) are inconsistent by sub-proof #997.
% 245.39/49.36  | | 
% 245.39/49.36  | End of split
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #997 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)   ~ (all_14_15 = e13)
% 245.39/49.36    (2)  op1(e14, e11) = all_14_15
% 245.39/49.36    (3)  op1(e13, e11) = e14
% 245.39/49.36    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (5)  all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 245.39/49.36         op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.39/49.36           e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 245.39/49.36         $i(all_23_36) & $i(all_23_37)
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | ALPHA: (5) implies:
% 245.39/49.36  |   (6)  op1(e13, e11) = all_23_37
% 245.39/49.36  |   (7)  op1(all_23_37, e11) = e13
% 245.39/49.36  | 
% 245.39/49.36  | GROUND_INST: instantiating (4) with e14, all_23_37, e11, e13, simplifying with
% 245.39/49.36  |              (3), (6) gives:
% 245.39/49.36  |   (8)  all_23_37 = e14
% 245.39/49.36  | 
% 245.39/49.36  | REDUCE: (7), (8) imply:
% 245.39/49.36  |   (9)  op1(e14, e11) = e13
% 245.39/49.36  | 
% 245.39/49.36  | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1230.
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #998 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) &
% 245.39/49.36         op1(all_23_33, e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.39/49.36           e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) &
% 245.39/49.36         $i(all_23_32) & $i(all_23_33)
% 245.39/49.36    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (3)  op1(e14, e11) = e10
% 245.39/49.36    (4)   ~ (all_14_19 = e14)
% 245.39/49.36    (5)  op1(e10, e11) = all_14_19
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | ALPHA: (1) implies:
% 245.39/49.36  |   (6)  op1(e14, e11) = all_23_33
% 245.39/49.36  |   (7)  op1(all_23_33, e11) = e14
% 245.39/49.36  | 
% 245.39/49.36  | GROUND_INST: instantiating (2) with e10, all_23_33, e11, e14, simplifying with
% 245.39/49.36  |              (3), (6) gives:
% 245.39/49.36  |   (8)  all_23_33 = e10
% 245.39/49.36  | 
% 245.39/49.36  | REDUCE: (7), (8) imply:
% 245.39/49.36  |   (9)  op1(e10, e11) = e14
% 245.39/49.36  | 
% 245.39/49.36  | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1257.
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #999 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)   ~ (e14 = e10)
% 245.39/49.36    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (3)  op1(e13, e12) = e10
% 245.39/49.36    (4)  op1(e14, e12) = e13
% 245.39/49.36    (5)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.39/49.36           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.39/49.36             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.39/49.36           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 245.39/49.36           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 245.39/49.36           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 245.39/49.36           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 245.39/49.36    (6)  op1(e13, e14) = e12
% 245.39/49.36    (7)  op1(e14, e13) = e12
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | BETA: splitting (5) gives:
% 245.39/49.36  | 
% 245.39/49.36  | Case 1:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (8)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.39/49.36  | |        op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.39/49.36  | |          e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.39/49.36  | |        $i(all_23_10) & $i(all_23_11)
% 245.39/49.36  | | 
% 245.39/49.36  | | ALPHA: (8) implies:
% 245.39/49.36  | |   (9)   ~ (all_23_10 = all_23_11)
% 245.39/49.36  | |   (10)  op1(e13, e14) = all_23_10
% 245.39/49.36  | |   (11)  op1(e14, e13) = all_23_11
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (2), (6), (7), (9), (10), (11) are inconsistent by sub-proof
% 245.39/49.36  | |            #1058.
% 245.39/49.36  | | 
% 245.39/49.36  | Case 2:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (12)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~ (all_23_20 = all_23_21) &
% 245.39/49.36  | |         op1(all_23_21, e14) = all_23_2 & op1(all_23_21, e12) = e14 &
% 245.39/49.36  | |         op1(e14, e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_2)
% 245.39/49.36  | |         & $i(all_23_20) & $i(all_23_21)
% 245.39/49.36  | | 
% 245.39/49.36  | | ALPHA: (12) implies:
% 245.39/49.36  | |   (13)  op1(e14, e12) = all_23_21
% 245.39/49.36  | |   (14)  op1(all_23_21, e12) = e14
% 245.39/49.36  | | 
% 245.39/49.36  | | GROUND_INST: instantiating (2) with e13, all_23_21, e12, e14, simplifying
% 245.39/49.36  | |              with (4), (13) gives:
% 245.39/49.36  | |   (15)  all_23_21 = e13
% 245.39/49.36  | | 
% 245.39/49.36  | | REDUCE: (14), (15) imply:
% 245.39/49.36  | |   (16)  op1(e13, e12) = e14
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (1), (2), (3), (16) are inconsistent by sub-proof #1286.
% 245.39/49.36  | | 
% 245.39/49.36  | End of split
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1000 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  all_25_4 = e13
% 245.39/49.36    (2)  all_25_20 = e14
% 245.39/49.36    (3)   ~ (all_14_12 = e13)
% 245.39/49.36    (4)   ~ (e14 = e11)
% 245.39/49.36    (5)   ~ (e13 = e10)
% 245.39/49.36    (6)  op1(e11, e12) = all_14_13
% 245.39/49.36    (7)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.36           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.36           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.36    (8)  all_25_21 = e13
% 245.39/49.36    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (10)   ~ (e13 = e11)
% 245.39/49.36    (11)  op1(e13, e12) = e10
% 245.39/49.36    (12)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.36              e13) = e11)
% 245.39/49.36    (13)   ~ (all_14_13 = e13)
% 245.39/49.36    (14)   ~ (all_14_14 = e13)
% 245.39/49.36    (15)  op1(e12, e12) = all_14_12
% 245.39/49.36    (16)  op1(e10, e12) = all_14_14
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | BETA: splitting (12) gives:
% 245.39/49.36  | 
% 245.39/49.36  | Case 1:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (17)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.39/49.36  | | 
% 245.39/49.36  | | ALPHA: (17) implies:
% 245.39/49.36  | |   (18)  all_25_20 = e11
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (2), (4), (18) are inconsistent by sub-proof #1001.
% 245.39/49.36  | | 
% 245.39/49.36  | Case 2:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (19)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.39/49.36  | | 
% 245.39/49.36  | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 245.39/49.36  | |            (16), (19) are inconsistent by sub-proof #1202.
% 245.39/49.36  | | 
% 245.39/49.36  | End of split
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1001 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  all_25_20 = e14
% 245.39/49.36    (2)  all_25_20 = e11
% 245.39/49.36    (3)   ~ (e14 = e11)
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | COMBINE_EQS: (1), (2) imply:
% 245.39/49.36  |   (4)  e14 = e11
% 245.39/49.36  | 
% 245.39/49.36  | SIMP: (4) implies:
% 245.39/49.36  |   (5)  e14 = e11
% 245.39/49.36  | 
% 245.39/49.36  | REDUCE: (3), (5) imply:
% 245.39/49.36  |   (6)  $false
% 245.39/49.36  | 
% 245.39/49.36  | CLOSE: (6) is inconsistent.
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1002 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  all_25_14 = e12 & op1(e11, e12) = e12
% 245.39/49.36    (2)  all_25_14 = e14
% 245.39/49.36    (3)   ~ (e14 = e12)
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | ALPHA: (1) implies:
% 245.39/49.36  |   (4)  all_25_14 = e12
% 245.39/49.36  | 
% 245.39/49.36  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.36  |   (5)  e14 = e12
% 245.39/49.36  | 
% 245.39/49.36  | REDUCE: (3), (5) imply:
% 245.39/49.36  |   (6)  $false
% 245.39/49.36  | 
% 245.39/49.36  | CLOSE: (6) is inconsistent.
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1003 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  all_25_8 = e12
% 245.39/49.36    (2)  all_25_8 = e11
% 245.39/49.36    (3)   ~ (e12 = e11)
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | COMBINE_EQS: (1), (2) imply:
% 245.39/49.36  |   (4)  e12 = e11
% 245.39/49.36  | 
% 245.39/49.36  | SIMP: (4) implies:
% 245.39/49.36  |   (5)  e12 = e11
% 245.39/49.36  | 
% 245.39/49.36  | REDUCE: (3), (5) imply:
% 245.39/49.36  |   (6)  $false
% 245.39/49.36  | 
% 245.39/49.36  | CLOSE: (6) is inconsistent.
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1004 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.36             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.39/49.36           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.36    (2)   ~ (e14 = e10)
% 245.39/49.36    (3)  op1(e10, e13) = all_14_9
% 245.39/49.36    (4)  all_25_2 = e12
% 245.39/49.36    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.36           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.36           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.36    (6)  all_25_1 = e12
% 245.39/49.36    (7)  all_25_6 = e11
% 245.39/49.36    (8)  all_25_24 = e10
% 245.39/49.36    (9)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.39/49.36           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.39/49.36           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.39/49.36    (10)  all_25_4 = e13
% 245.39/49.36    (11)   ~ (all_14_12 = e13)
% 245.39/49.36    (12)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.39/49.36              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.39/49.36            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.39/49.36    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.36            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.36            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.36    (14)   ~ (e12 = e11)
% 245.39/49.36    (15)   ~ (e14 = e11)
% 245.39/49.36    (16)  all_25_3 = e11
% 245.39/49.36    (17)  op1(e10, e13) = e13
% 245.39/49.36    (18)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.36            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.36            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.36    (19)   ~ (e13 = e10)
% 245.39/49.36    (20)  op1(e11, e12) = all_14_13
% 245.39/49.36    (21)   ~ (e14 = e13)
% 245.39/49.36    (22)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.36            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.36            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.36    (23)   ~ (all_14_15 = e12)
% 245.39/49.36    (24)  all_25_11 = e13
% 245.39/49.36    (25)  op1(e14, e11) = all_14_15
% 245.39/49.36    (26)  op1(e13, unit1) = e13
% 245.39/49.36    (27)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.39/49.36            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.39/49.36            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.36    (28)  op1(e13, e11) = e14
% 245.39/49.36    (29)  all_25_21 = e13
% 245.39/49.36    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (31)   ~ (e13 = e11)
% 245.39/49.36    (32)  op1(e13, e12) = e10
% 245.39/49.36    (33)  all_25_12 = e13
% 245.39/49.36    (34)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.39/49.36              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.39/49.36            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.36    (35)   ~ (e11 = e10)
% 245.39/49.36    (36)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.39/49.36            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.36            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.36    (37)   ~ (e13 = e12)
% 245.39/49.36    (38)  op1(e13, e13) = e11
% 245.39/49.36    (39)   ~ (all_14_13 = e13)
% 245.39/49.36    (40)   ~ (e12 = e10)
% 245.39/49.36    (41)   ~ (all_14_9 = e12)
% 245.39/49.36    (42)   ~ (all_14_19 = e14)
% 245.39/49.36    (43)   ~ (all_14_14 = e13)
% 245.39/49.36    (44)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.36            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.36            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.36    (45)  all_25_7 = e14
% 245.39/49.36    (46)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.39/49.36              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.39/49.36            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.36    (47)   ~ (all_14_15 = e14)
% 245.39/49.36    (48)   ~ (all_14_19 = e13)
% 245.39/49.36    (49)  op1(e12, e12) = all_14_12
% 245.39/49.36    (50)  op1(e10, unit1) = e10
% 245.39/49.36    (51)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.39/49.36    (52)  op1(unit1, e14) = e14
% 245.39/49.36    (53)  op1(e14, e12) = all_14_10
% 245.39/49.36    (54)   ~ (all_14_10 = e12)
% 245.39/49.36    (55)   ~ (all_14_19 = e10)
% 245.39/49.36    (56)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.39/49.36            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.39/49.36            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.39/49.36    (57)  op1(unit1, e12) = e12
% 245.39/49.36    (58)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.39/49.36              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.39/49.36            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.39/49.36    (59)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.36            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.36            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.36    (60)  op1(e10, e11) = all_14_19
% 245.39/49.36    (61)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.36            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.39/49.36            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.39/49.36    (62)  op1(e10, e12) = all_14_14
% 245.39/49.36    (63)  op1(e13, e14) = e12
% 245.39/49.36    (64)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.36            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.36            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.36    (65)   ~ (e14 = e12)
% 245.39/49.36    (66)  all_25_17 = e13
% 245.39/49.36  
% 245.39/49.36  Begin of proof
% 245.39/49.36  | 
% 245.39/49.36  | BETA: splitting (27) gives:
% 245.39/49.36  | 
% 245.39/49.36  | Case 1:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (67)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13,
% 245.39/49.36  | |             e14) = e10)
% 245.39/49.36  | | 
% 245.39/49.36  | | BETA: splitting (67) gives:
% 245.39/49.36  | | 
% 245.39/49.36  | | Case 1:
% 245.39/49.36  | | | 
% 245.39/49.36  | | |   (68)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.39/49.36  | | | 
% 245.39/49.36  | | | ALPHA: (68) implies:
% 245.39/49.36  | | |   (69)  all_25_0 = e10
% 245.39/49.36  | | | 
% 245.39/49.36  | | | BETA: splitting (36) gives:
% 245.39/49.36  | | | 
% 245.39/49.36  | | | Case 1:
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | |   (70)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 245.39/49.36  | | | |           op1(e13, e14) = e14)
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | | BETA: splitting (70) gives:
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | | Case 1:
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | |   (71)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | | REF_CLOSE: (2), (69), (71) are inconsistent by sub-proof #1220.
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | Case 2:
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | |   (72)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | | REF_CLOSE: (5), (14), (19), (21), (28), (30), (31), (32), (37), (38),
% 245.39/49.36  | | | | |            (40), (44), (65), (72) are inconsistent by sub-proof #1185.
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | End of split
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | Case 2:
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | |   (73)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.39/49.36  | | | |           op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | | BETA: splitting (73) gives:
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | | Case 1:
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | |   (74)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | | REF_CLOSE: (7), (15), (74) are inconsistent by sub-proof #1007.
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | Case 2:
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | |   (75)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.39/49.36  | | | | |           op1(e10, e14) = e14)
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | | BETA: splitting (75) gives:
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | | Case 1:
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | |   (76)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | ALPHA: (76) implies:
% 245.39/49.36  | | | | | |   (77)  all_25_12 = e14
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | COMBINE_EQS: (33), (77) imply:
% 245.39/49.36  | | | | | |   (78)  e14 = e13
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | SIMP: (78) implies:
% 245.39/49.36  | | | | | |   (79)  e14 = e13
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | REDUCE: (21), (79) imply:
% 245.39/49.36  | | | | | |   (80)  $false
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | CLOSE: (80) is inconsistent.
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | Case 2:
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | |   (81)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | ALPHA: (81) implies:
% 245.39/49.36  | | | | | |   (82)  all_25_20 = e14
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | BETA: splitting (56) gives:
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | | Case 1:
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | |   (83)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 245.39/49.36  | | | | | | |           op1(e13, e13) = e10)
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | | REF_CLOSE: (2), (4), (5), (6), (13), (14), (15), (19), (21), (30),
% 245.39/49.36  | | | | | | |            (31), (32), (35), (37), (38), (40), (44), (59), (65),
% 245.39/49.36  | | | | | | |            (83) are inconsistent by sub-proof #1279.
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | Case 2:
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | |   (84)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10
% 245.39/49.36  | | | | | | |           & op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10,
% 245.39/49.36  | | | | | | |             e13) = e10)
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | | BETA: splitting (84) gives:
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | | Case 1:
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | |   (85)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | ALPHA: (85) implies:
% 245.39/49.36  | | | | | | | |   (86)  all_25_7 = e10
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | COMBINE_EQS: (45), (86) imply:
% 245.39/49.36  | | | | | | | |   (87)  e14 = e10
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | COMBINE_EQS: (82), (87) imply:
% 245.39/49.36  | | | | | | | |   (88)  all_25_20 = e10
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10), (11), (13), (14),
% 245.39/49.36  | | | | | | | |            (15), (16), (17), (19), (20), (21), (22), (26), (29),
% 245.39/49.36  | | | | | | | |            (30), (31), (32), (34), (35), (37), (38), (39), (40),
% 245.39/49.36  | | | | | | | |            (41), (42), (43), (44), (46), (48), (49), (50), (51),
% 245.39/49.36  | | | | | | | |            (52), (53), (54), (55), (57), (58), (59), (60), (62),
% 245.39/49.36  | | | | | | | |            (63), (65), (66), (88) are inconsistent by sub-proof
% 245.39/49.36  | | | | | | | |            #1197.
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | Case 2:
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | |   (89)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 =
% 245.39/49.36  | | | | | | | |           e10 & op1(e10, e13) = e10)
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | BETA: splitting (89) gives:
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | | Case 1:
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | |   (90)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | | ALPHA: (90) implies:
% 245.39/49.36  | | | | | | | | |   (91)  all_25_13 = e10
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11),
% 245.39/49.36  | | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19),
% 245.39/49.36  | | | | | | | | |            (20), (21), (22), (23), (24), (25), (26), (28),
% 245.39/49.36  | | | | | | | | |            (29), (30), (31), (32), (34), (35), (37), (38),
% 245.39/49.36  | | | | | | | | |            (39), (40), (41), (42), (43), (44), (45), (46),
% 245.39/49.36  | | | | | | | | |            (47), (48), (49), (50), (51), (52), (53), (54),
% 245.39/49.36  | | | | | | | | |            (55), (57), (58), (59), (60), (61), (62), (63),
% 245.39/49.36  | | | | | | | | |            (64), (65), (66), (69), (82), (91) are inconsistent
% 245.39/49.36  | | | | | | | | |            by sub-proof #1022.
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | Case 2:
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | |   (92)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | | REF_CLOSE: (2), (4), (5), (10), (11), (15), (16), (19), (20),
% 245.39/49.36  | | | | | | | | |            (21), (22), (29), (30), (31), (32), (37), (38),
% 245.39/49.36  | | | | | | | | |            (39), (43), (49), (59), (62), (65), (66), (92) are
% 245.39/49.36  | | | | | | | | |            inconsistent by sub-proof #1192.
% 245.39/49.36  | | | | | | | | | 
% 245.39/49.36  | | | | | | | | End of split
% 245.39/49.36  | | | | | | | | 
% 245.39/49.36  | | | | | | | End of split
% 245.39/49.36  | | | | | | | 
% 245.39/49.36  | | | | | | End of split
% 245.39/49.36  | | | | | | 
% 245.39/49.36  | | | | | End of split
% 245.39/49.36  | | | | | 
% 245.39/49.36  | | | | End of split
% 245.39/49.36  | | | | 
% 245.39/49.36  | | | End of split
% 245.39/49.36  | | | 
% 245.39/49.36  | | Case 2:
% 245.39/49.36  | | | 
% 245.39/49.36  | | |   (93)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.39/49.36  | | | 
% 245.39/49.36  | | | ALPHA: (93) implies:
% 245.39/49.36  | | |   (94)  all_25_2 = e10
% 245.39/49.36  | | | 
% 245.39/49.36  | | | REF_CLOSE: (2), (5), (13), (14), (15), (19), (21), (30), (31), (32), (35),
% 245.39/49.36  | | |            (37), (38), (40), (44), (59), (65), (94) are inconsistent by
% 245.39/49.36  | | |            sub-proof #1281.
% 245.39/49.36  | | | 
% 245.39/49.36  | | End of split
% 245.39/49.36  | | 
% 245.39/49.36  | Case 2:
% 245.39/49.36  | | 
% 245.39/49.36  | |   (95)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 & op1(e11,
% 245.39/49.36  | |             e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.36  | | 
% 245.39/49.36  | | BETA: splitting (95) gives:
% 245.39/49.36  | | 
% 245.39/49.36  | | Case 1:
% 245.39/49.36  | | | 
% 245.39/49.36  | | |   (96)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.36  | | | 
% 245.39/49.36  | | | REF_CLOSE: (7), (35), (96) are inconsistent by sub-proof #1006.
% 245.39/49.36  | | | 
% 245.39/49.36  | | Case 2:
% 245.39/49.36  | | | 
% 245.39/49.36  | | |   (97)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 245.39/49.36  | | |           op1(e10, e14) = e10)
% 245.39/49.36  | | | 
% 245.39/49.36  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10), (11), (13), (14), (15),
% 245.39/49.36  | | |            (16), (17), (19), (20), (21), (22), (26), (29), (30), (31),
% 245.39/49.36  | | |            (32), (33), (34), (35), (37), (38), (39), (40), (41), (42),
% 245.39/49.36  | | |            (43), (44), (46), (48), (49), (50), (51), (52), (53), (54),
% 245.39/49.36  | | |            (55), (57), (58), (59), (60), (62), (63), (65), (66), (97) are
% 245.39/49.36  | | |            inconsistent by sub-proof #1005.
% 245.39/49.36  | | | 
% 245.39/49.36  | | End of split
% 245.39/49.36  | | 
% 245.39/49.36  | End of split
% 245.39/49.36  | 
% 245.39/49.36  End of proof
% 245.39/49.36  
% 245.39/49.36  Sub-proof #1005 shows that the following formulas are inconsistent:
% 245.39/49.36  ----------------------------------------------------------------
% 245.39/49.36    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.36             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.39/49.36           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.36    (2)   ~ (e14 = e10)
% 245.39/49.36    (3)  op1(e10, e13) = all_14_9
% 245.39/49.36    (4)  all_25_2 = e12
% 245.39/49.36    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.36           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.36           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.36    (6)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10,
% 245.39/49.36             e14) = e10)
% 245.39/49.36    (7)  all_25_24 = e10
% 245.39/49.36    (8)  all_25_4 = e13
% 245.39/49.36    (9)   ~ (all_14_12 = e13)
% 245.39/49.36    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.36            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.36            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.36    (11)   ~ (e12 = e11)
% 245.39/49.36    (12)   ~ (e14 = e11)
% 245.39/49.36    (13)  all_25_3 = e11
% 245.39/49.36    (14)  op1(e10, e13) = e13
% 245.39/49.36    (15)   ~ (e13 = e10)
% 245.39/49.36    (16)  op1(e11, e12) = all_14_13
% 245.39/49.36    (17)   ~ (e14 = e13)
% 245.39/49.36    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.36            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.36            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.36    (19)  op1(e13, unit1) = e13
% 245.39/49.36    (20)  all_25_21 = e13
% 245.39/49.36    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.36            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.36    (22)   ~ (e13 = e11)
% 245.39/49.36    (23)  op1(e13, e12) = e10
% 245.39/49.36    (24)  all_25_12 = e13
% 245.39/49.36    (25)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.39/49.36              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.39/49.36            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.36    (26)   ~ (e11 = e10)
% 245.39/49.36    (27)   ~ (e13 = e12)
% 245.39/49.36    (28)  op1(e13, e13) = e11
% 245.39/49.36    (29)   ~ (all_14_13 = e13)
% 245.39/49.36    (30)   ~ (e12 = e10)
% 245.39/49.36    (31)   ~ (all_14_9 = e12)
% 245.39/49.36    (32)   ~ (all_14_19 = e14)
% 245.39/49.36    (33)   ~ (all_14_14 = e13)
% 245.39/49.36    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.36            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.36            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.36    (35)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.39/49.36              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.39/49.36            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.36    (36)   ~ (all_14_19 = e13)
% 245.39/49.36    (37)  op1(e12, e12) = all_14_12
% 245.39/49.36    (38)  op1(e10, unit1) = e10
% 245.39/49.36    (39)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.39/49.36    (40)  op1(unit1, e14) = e14
% 245.39/49.36    (41)  op1(e14, e12) = all_14_10
% 245.39/49.36    (42)   ~ (all_14_10 = e12)
% 245.39/49.36    (43)   ~ (all_14_19 = e10)
% 245.39/49.36    (44)  op1(unit1, e12) = e12
% 245.39/49.36    (45)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.39/49.36              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.39/49.36            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.39/49.37    (46)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.37            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.37            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.37    (47)  op1(e10, e11) = all_14_19
% 245.39/49.37    (48)  op1(e10, e12) = all_14_14
% 245.39/49.37    (49)  op1(e13, e14) = e12
% 245.39/49.37    (50)   ~ (e14 = e12)
% 245.39/49.37    (51)  all_25_17 = e13
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | BETA: splitting (6) gives:
% 245.39/49.37  | 
% 245.39/49.37  | Case 1:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (52)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.39/49.37  | | 
% 245.39/49.37  | | REF_CLOSE: (2), (4), (5), (8), (9), (12), (13), (15), (16), (17), (18),
% 245.39/49.37  | |            (21), (22), (23), (24), (27), (28), (29), (33), (37), (46), (48),
% 245.39/49.37  | |            (50), (51), (52) are inconsistent by sub-proof #1021.
% 245.39/49.37  | | 
% 245.39/49.37  | Case 2:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (53)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.39/49.37  | | 
% 245.39/49.37  | | ALPHA: (53) implies:
% 245.39/49.37  | |   (54)  all_25_20 = e10
% 245.39/49.37  | | 
% 245.39/49.37  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.39/49.37  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (25),
% 245.39/49.37  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.39/49.37  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.39/49.37  | |            (48), (49), (50), (51), (54) are inconsistent by sub-proof #1197.
% 245.39/49.37  | | 
% 245.39/49.37  | End of split
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1006 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.39/49.37    (2)  all_25_6 = e11
% 245.39/49.37    (3)   ~ (e11 = e10)
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | ALPHA: (1) implies:
% 245.39/49.37  |   (4)  all_25_6 = e10
% 245.39/49.37  | 
% 245.39/49.37  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.37  |   (5)  e11 = e10
% 245.39/49.37  | 
% 245.39/49.37  | REDUCE: (3), (5) imply:
% 245.39/49.37  |   (6)  $false
% 245.39/49.37  | 
% 245.39/49.37  | CLOSE: (6) is inconsistent.
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1007 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.39/49.37    (2)  all_25_6 = e11
% 245.39/49.37    (3)   ~ (e14 = e11)
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | ALPHA: (1) implies:
% 245.39/49.37  |   (4)  all_25_6 = e14
% 245.39/49.37  | 
% 245.39/49.37  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.37  |   (5)  e14 = e11
% 245.39/49.37  | 
% 245.39/49.37  | SIMP: (5) implies:
% 245.39/49.37  |   (6)  e14 = e11
% 245.39/49.37  | 
% 245.39/49.37  | REDUCE: (3), (6) imply:
% 245.39/49.37  |   (7)  $false
% 245.39/49.37  | 
% 245.39/49.37  | CLOSE: (7) is inconsistent.
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1008 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.39/49.37    (2)  all_25_19 = e14
% 245.39/49.37    (3)   ~ (e14 = e11)
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | ALPHA: (1) implies:
% 245.39/49.37  |   (4)  all_25_19 = e11
% 245.39/49.37  | 
% 245.39/49.37  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.37  |   (5)  e14 = e11
% 245.39/49.37  | 
% 245.39/49.37  | REDUCE: (3), (5) imply:
% 245.39/49.37  |   (6)  $false
% 245.39/49.37  | 
% 245.39/49.37  | CLOSE: (6) is inconsistent.
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1009 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  all_25_4 = e13
% 245.39/49.37    (2)   ~ (all_14_12 = e13)
% 245.39/49.37    (3)   ~ (e14 = e11)
% 245.39/49.37    (4)   ~ (e13 = e10)
% 245.39/49.37    (5)  op1(e11, e12) = all_14_13
% 245.39/49.37    (6)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.37           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.37           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.37    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.37           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.37    (8)   ~ (e13 = e11)
% 245.39/49.37    (9)  op1(e13, e12) = e10
% 245.39/49.37    (10)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.39/49.37              e10) = e11)
% 245.39/49.37    (11)   ~ (all_14_13 = e13)
% 245.39/49.37    (12)   ~ (all_14_14 = e13)
% 245.39/49.37    (13)  op1(e12, e12) = all_14_12
% 245.39/49.37    (14)  all_25_16 = e14
% 245.39/49.37    (15)  op1(e10, e12) = all_14_14
% 245.39/49.37    (16)  all_25_17 = e13
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | BETA: splitting (10) gives:
% 245.39/49.37  | 
% 245.39/49.37  | Case 1:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (17)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.39/49.37  | | 
% 245.39/49.37  | | REF_CLOSE: (3), (14), (17) are inconsistent by sub-proof #1040.
% 245.39/49.37  | | 
% 245.39/49.37  | Case 2:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (18)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.39/49.37  | | 
% 245.39/49.37  | | ALPHA: (18) implies:
% 245.39/49.37  | |   (19)  all_25_17 = e11
% 245.39/49.37  | | 
% 245.39/49.37  | | COMBINE_EQS: (16), (19) imply:
% 245.39/49.37  | |   (20)  e13 = e11
% 245.39/49.37  | | 
% 245.39/49.37  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (12), (13), (15),
% 245.39/49.37  | |            (20) are inconsistent by sub-proof #1172.
% 245.39/49.37  | | 
% 245.39/49.37  | End of split
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1010 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.39/49.37    (2)  all_25_14 = e14
% 245.39/49.37    (3)   ~ (e14 = e11)
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | ALPHA: (1) implies:
% 245.39/49.37  |   (4)  all_25_14 = e11
% 245.39/49.37  | 
% 245.39/49.37  | COMBINE_EQS: (2), (4) imply:
% 245.39/49.37  |   (5)  e14 = e11
% 245.39/49.37  | 
% 245.39/49.37  | REDUCE: (3), (5) imply:
% 245.39/49.37  |   (6)  $false
% 245.39/49.37  | 
% 245.39/49.37  | CLOSE: (6) is inconsistent.
% 245.39/49.37  | 
% 245.39/49.37  End of proof
% 245.39/49.37  
% 245.39/49.37  Sub-proof #1011 shows that the following formulas are inconsistent:
% 245.39/49.37  ----------------------------------------------------------------
% 245.39/49.37    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.39/49.37             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.39/49.37           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.37    (2)   ~ (e14 = e10)
% 245.39/49.37    (3)  op1(e10, e13) = all_14_9
% 245.39/49.37    (4)  all_25_2 = e12
% 245.39/49.37    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.39/49.37           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.39/49.37           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.39/49.37    (6)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10 = e11 & op1(e13, e11)
% 245.39/49.37           = e11) | (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_15 = e11 &
% 245.39/49.37           op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.39/49.37    (7)  all_25_1 = e12
% 245.39/49.37    (8)  op1(e14, unit1) = e14
% 245.39/49.37    (9)  all_25_24 = e10
% 245.39/49.37    (10)  all_25_4 = e13
% 245.39/49.37    (11)   ~ (all_14_12 = e13)
% 245.39/49.37    (12)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.39/49.37              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.39/49.37            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.39/49.37    (13)   ~ (all_14_15 = e13)
% 245.39/49.37    (14)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.39/49.37            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.39/49.37            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.39/49.37    (15)   ~ (e12 = e11)
% 245.39/49.37    (16)   ~ (e14 = e11)
% 245.39/49.37    (17)  all_25_3 = e11
% 245.39/49.37    (18)  op1(e10, e13) = e13
% 245.39/49.37    (19)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.39/49.37            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.39/49.37            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.39/49.37    (20)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.39/49.37            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.39/49.37            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.39/49.37    (21)   ~ (e13 = e10)
% 245.39/49.37    (22)  op1(e11, e12) = all_14_13
% 245.39/49.37    (23)   ~ (e14 = e13)
% 245.39/49.37    (24)  all_25_13 = e14
% 245.39/49.37    (25)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.39/49.37            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.39/49.37            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.39/49.37    (26)   ~ (all_14_15 = e12)
% 245.39/49.37    (27)   ~ (all_14_17 = e14)
% 245.39/49.37    (28)  all_25_11 = e13
% 245.39/49.37    (29)  op1(e14, e11) = all_14_15
% 245.39/49.37    (30)  op1(e13, unit1) = e13
% 245.39/49.37    (31)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.39/49.37            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.39/49.37            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.39/49.37    (32)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.39/49.37            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.39/49.37            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.39/49.37    (33)  op1(e13, e11) = e14
% 245.39/49.37    (34)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.39/49.37              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.39/49.37            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.39/49.37    (35)  all_25_21 = e13
% 245.39/49.37    (36)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.39/49.37            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.39/49.37    (37)   ~ (e13 = e11)
% 245.39/49.37    (38)  op1(e13, e12) = e10
% 245.39/49.37    (39)  all_25_12 = e13
% 245.39/49.37    (40)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.39/49.37              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.39/49.37            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.39/49.37    (41)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.39/49.37              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.39/49.37            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.37    (42)  op1(e12, e11) = all_14_17
% 245.39/49.37    (43)   ~ (e11 = e10)
% 245.39/49.37    (44)   ~ (all_14_13 = e10)
% 245.39/49.37    (45)   ~ (e13 = e12)
% 245.39/49.37    (46)  op1(e13, e13) = e11
% 245.39/49.37    (47)   ~ (all_14_20 = e13)
% 245.39/49.37    (48)   ~ (all_14_13 = e13)
% 245.39/49.37    (49)   ~ (e12 = e10)
% 245.39/49.37    (50)  all_25_10 = e14
% 245.39/49.37    (51)   ~ (all_14_9 = e12)
% 245.39/49.37    (52)   ~ (all_14_19 = e14)
% 245.39/49.37    (53)   ~ (all_14_14 = e13)
% 245.39/49.37    (54)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.39/49.37            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.39/49.37            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.39/49.37    (55)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.39/49.37              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.39/49.37            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.39/49.37    (56)   ~ (all_14_15 = e14)
% 245.39/49.37    (57)   ~ (all_14_19 = e13)
% 245.39/49.37    (58)  op1(e14, e10) = all_14_20
% 245.39/49.37    (59)   ~ (all_14_20 = e12)
% 245.39/49.37    (60)  op1(e12, e12) = all_14_12
% 245.39/49.37    (61)  op1(e10, unit1) = e10
% 245.39/49.37    (62)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.39/49.37    (63)  op1(unit1, e14) = e14
% 245.39/49.37    (64)  op1(e14, e12) = all_14_10
% 245.39/49.37    (65)   ~ (all_14_10 = e12)
% 245.39/49.37    (66)  op1(e11, e11) = all_14_18
% 245.39/49.37    (67)   ~ (all_14_20 = e10)
% 245.39/49.37    (68)   ~ (all_14_19 = e10)
% 245.39/49.37    (69)   ~ (all_14_15 = all_14_18)
% 245.39/49.37    (70)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.39/49.37            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.39/49.37            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.39/49.37    (71)  op1(unit1, e12) = e12
% 245.39/49.37    (72)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.39/49.37              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.39/49.37            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.39/49.37    (73)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.37            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.39/49.37            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.39/49.37    (74)  op1(e10, e11) = all_14_19
% 245.39/49.37    (75)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.39/49.37            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.39/49.37            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.39/49.37    (76)  op1(e10, e12) = all_14_14
% 245.39/49.37    (77)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.39/49.37              e10) = e12) | (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.39/49.37            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.39/49.37    (78)  op1(e13, e14) = e12
% 245.39/49.37    (79)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.39/49.37            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.39/49.37            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.37    (80)   ~ (e14 = e12)
% 245.39/49.37    (81)   ~ (all_14_18 = e13)
% 245.39/49.37    (82)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.39/49.37            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.39/49.37            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.39/49.37    (83)  all_25_17 = e13
% 245.39/49.37  
% 245.39/49.37  Begin of proof
% 245.39/49.37  | 
% 245.39/49.37  | BETA: splitting (40) gives:
% 245.39/49.37  | 
% 245.39/49.37  | Case 1:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (84)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 245.39/49.37  | |           op1(e11, e13) = e10)
% 245.39/49.37  | | 
% 245.39/49.37  | | BETA: splitting (84) gives:
% 245.39/49.37  | | 
% 245.39/49.37  | | Case 1:
% 245.39/49.37  | | | 
% 245.39/49.37  | | |   (85)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.39/49.37  | | | 
% 245.39/49.37  | | | REF_CLOSE: (2), (4), (5), (10), (11), (16), (17), (21), (22), (23), (25),
% 245.39/49.37  | | |            (36), (37), (38), (39), (45), (46), (48), (53), (60), (73),
% 245.39/49.37  | | |            (76), (80), (83), (85) are inconsistent by sub-proof #1021.
% 245.39/49.37  | | | 
% 245.39/49.37  | | Case 2:
% 245.39/49.37  | | | 
% 245.39/49.37  | | |   (86)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.39/49.37  | | | 
% 245.39/49.37  | | | REF_CLOSE: (2), (24), (86) are inconsistent by sub-proof #1159.
% 245.39/49.37  | | | 
% 245.39/49.37  | | End of split
% 245.39/49.37  | | 
% 245.39/49.37  | Case 2:
% 245.39/49.37  | | 
% 245.39/49.37  | |   (87)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 245.39/49.37  | |           op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.39/49.37  | | 
% 245.39/49.37  | | BETA: splitting (87) gives:
% 245.39/49.37  | | 
% 245.39/49.37  | | Case 1:
% 245.39/49.37  | | | 
% 245.39/49.37  | | |   (88)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.39/49.37  | | | 
% 245.39/49.37  | | | ALPHA: (88) implies:
% 245.39/49.37  | | |   (89)  op1(e11, e12) = e10
% 245.39/49.37  | | | 
% 245.39/49.37  | | | REF_CLOSE: (22), (36), (44), (89) are inconsistent by sub-proof #1158.
% 245.39/49.37  | | | 
% 245.39/49.37  | | Case 2:
% 245.39/49.37  | | | 
% 245.39/49.37  | | |   (90)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 245.39/49.37  | | |           op1(e11, e10) = e10)
% 245.39/49.37  | | | 
% 245.39/49.37  | | | BETA: splitting (90) gives:
% 245.39/49.37  | | | 
% 245.39/49.37  | | | Case 1:
% 245.39/49.37  | | | | 
% 245.39/49.37  | | | |   (91)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.39/49.37  | | | | 
% 245.39/49.37  | | | | ALPHA: (91) implies:
% 245.39/49.37  | | | |   (92)  all_25_15 = e10
% 245.39/49.37  | | | |   (93)  op1(e11, e11) = e10
% 245.39/49.37  | | | | 
% 245.39/49.37  | | | | BETA: splitting (12) gives:
% 245.39/49.37  | | | | 
% 245.39/49.37  | | | | Case 1:
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | |   (94)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 &
% 245.39/49.37  | | | | |           op1(e13, e11) = e12)
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | | REF_CLOSE: (26), (29), (33), (36), (80), (94) are inconsistent by
% 245.39/49.37  | | | | |            sub-proof #1223.
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | Case 2:
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | |   (95)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 = e12 &
% 245.39/49.37  | | | | |           op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) =
% 245.39/49.37  | | | | |           e12)
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | | BETA: splitting (95) gives:
% 245.39/49.37  | | | | | 
% 245.39/49.37  | | | | | Case 1:
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | |   (96)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | | REF_CLOSE: (28), (45), (96) are inconsistent by sub-proof #1020.
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | Case 2:
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | |   (97)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 245.39/49.37  | | | | | |           op1(e10, e11) = e12)
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | | BETA: splitting (97) gives:
% 245.39/49.37  | | | | | | 
% 245.39/49.37  | | | | | | Case 1:
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | |   (98)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | | REF_CLOSE: (2), (4), (5), (14), (15), (16), (21), (23), (36),
% 245.39/49.37  | | | | | | |            (37), (38), (43), (45), (46), (49), (54), (73), (80),
% 245.39/49.37  | | | | | | |            (92), (98) are inconsistent by sub-proof #1024.
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | Case 2:
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | |   (99)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | | ALPHA: (99) implies:
% 245.39/49.37  | | | | | | |   (100)  all_25_23 = e12
% 245.39/49.37  | | | | | | |   (101)  op1(e10, e11) = e12
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | | BETA: splitting (70) gives:
% 245.39/49.37  | | | | | | | 
% 245.39/49.37  | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | |   (102)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 =
% 245.39/49.37  | | | | | | | |            e10 & op1(e13, e13) = e10)
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | | REF_CLOSE: (2), (4), (5), (7), (14), (15), (16), (21), (23),
% 245.39/49.37  | | | | | | | |            (36), (37), (38), (43), (45), (46), (49), (54), (73),
% 245.39/49.37  | | | | | | | |            (80), (102) are inconsistent by sub-proof #1279.
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | Case 2:
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | |   (103)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 =
% 245.39/49.37  | | | | | | | |            e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.39/49.37  | | | | | | | |            op1(e10, e13) = e10)
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | | BETA: splitting (103) gives:
% 245.39/49.37  | | | | | | | | 
% 245.39/49.37  | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | 
% 245.39/49.37  | | | | | | | | |   (104)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.39/49.37  | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | ALPHA: (104) implies:
% 245.39/49.37  | | | | | | | | |   (105)  all_25_7 = e10
% 245.39/49.37  | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | BETA: splitting (6) gives:
% 245.39/49.37  | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | |   (106)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_10
% 245.39/49.37  | | | | | | | | | |            = e11 & op1(e13, e11) = e11)
% 245.39/49.37  | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | BETA: splitting (106) gives:
% 245.39/49.37  | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | |   (107)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.39/49.37  | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | ALPHA: (107) implies:
% 245.39/49.37  | | | | | | | | | | |   (108)  all_25_9 = e11
% 245.39/49.37  | | | | | | | | | | |   (109)  op1(e14, e11) = e11
% 245.39/49.37  | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | BETA: splitting (79) gives:
% 245.39/49.37  | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | |   (110)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 245.39/49.37  | | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | BETA: splitting (110) gives:
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | |   (111)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | ALPHA: (111) implies:
% 245.39/49.37  | | | | | | | | | | | | |   (112)  all_25_0 = e14
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (7), (10), (14), (15), (16), (17),
% 245.39/49.37  | | | | | | | | | | | | |            (21), (23), (31), (36), (37), (38), (43), (45),
% 245.39/49.37  | | | | | | | | | | | | |            (46), (49), (54), (58), (67), (73), (80), (83),
% 245.39/49.37  | | | | | | | | | | | | |            (108), (112) are inconsistent by sub-proof #1132.
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | Case 2:
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | |   (113)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (24), (36),
% 245.39/49.37  | | | | | | | | | | | | |            (75), (80), (105), (113) are inconsistent by
% 245.39/49.37  | | | | | | | | | | | | |            sub-proof #1019.
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | End of split
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | Case 2:
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | |   (114)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 245.39/49.37  | | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 245.39/49.37  | | | | | | | | | | | |            & op1(e14, e10) = e14)
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | BETA: splitting (114) gives:
% 245.39/49.37  | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | |   (115)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (16), (17), (18), (23), (24),
% 245.39/49.37  | | | | | | | | | | | | |            (36), (75), (80), (105), (115) are inconsistent by
% 245.39/49.37  | | | | | | | | | | | | |            sub-proof #1063.
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | Case 2:
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | |   (116)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 245.39/49.37  | | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | BETA: splitting (116) gives:
% 245.39/49.37  | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | Case 1:
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | |   (117)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | | REF_CLOSE: (29), (36), (56), (117) are inconsistent by
% 245.39/49.37  | | | | | | | | | | | | | |            sub-proof #1340.
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | Case 2:
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | |   (118)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | | ALPHA: (118) implies:
% 245.39/49.37  | | | | | | | | | | | | | |   (119)  op1(e14, e10) = e14
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_14_19, e12, e11, e10,
% 245.39/49.37  | | | | | | | | | | | | | |              simplifying with (74), (101) gives:
% 245.39/49.37  | | | | | | | | | | | | | |   (120)  all_14_19 = e12
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.39/49.37  | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_14_18, e10, e11, e11,
% 245.39/49.37  | | | | | | | | | | | | | |              simplifying with (66), (93) gives:
% 245.39/49.37  | | | | | | | | | | | | | |   (121)  all_14_18 = e10
% 245.39/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_14_20, e14, e10, e14,
% 245.44/49.37  | | | | | | | | | | | | | |              simplifying with (58), (119) gives:
% 245.44/49.37  | | | | | | | | | | | | | |   (122)  all_14_20 = e14
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_14_15, e11, e11, e14,
% 245.44/49.37  | | | | | | | | | | | | | |              simplifying with (29), (109) gives:
% 245.44/49.37  | | | | | | | | | | | | | |   (123)  all_14_15 = e11
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | REDUCE: (56), (123) imply:
% 245.44/49.37  | | | | | | | | | | | | | |   (124)   ~ (e14 = e11)
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | REDUCE: (13), (123) imply:
% 245.44/49.37  | | | | | | | | | | | | | |   (125)   ~ (e13 = e11)
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | REDUCE: (26), (123) imply:
% 245.44/49.37  | | | | | | | | | | | | | |   (126)   ~ (e12 = e11)
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | REDUCE: (81), (121) imply:
% 245.44/49.37  | | | | | | | | | | | | | |   (127)   ~ (e13 = e10)
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | REDUCE: (57), (120) imply:
% 245.44/49.37  | | | | | | | | | | | | | |   (128)   ~ (e13 = e12)
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | |   (129)  (all_25_20 = e14 & op1(e10, e14) = e14) |
% 245.44/49.37  | | | | | | | | | | | | | | |          (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | |   (130)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 245.44/49.37  | | | | | | | | | | | | | | | |   (131)  all_25_20 = e14
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (9), (10), (11), (15), (16), (17),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (18), (21), (22), (23), (24), (25), (30), (35),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (36), (37), (38), (43), (48), (53), (60), (61),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (62), (64), (65), (68), (71), (74), (75), (76),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (80), (100), (105), (131) are inconsistent by
% 245.44/49.37  | | | | | | | | | | | | | | | |            sub-proof #1095.
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | |   (132)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (9), (15), (16), (17), (21),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (23), (30), (36), (37), (38), (43), (45), (46),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (53), (57), (61), (62), (64), (65), (68), (71),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (72), (73), (74), (76), (80), (83), (100), (132)
% 245.44/49.37  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1110.
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | |   (133)  (all_25_22 = e14 & op1(e10, e12) = e14) |
% 245.44/49.37  | | | | | | | | | | | | | | |          (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.44/49.37  | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | |   (134)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 245.44/49.37  | | | | | | | | | | | | | | | |   (135)  op1(e10, e12) = e14
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (9), (10), (11), (15), (21), (22), (25),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (30), (35), (36), (37), (38), (43), (45), (48),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (53), (60), (61), (62), (63), (64), (65), (68),
% 245.44/49.37  | | | | | | | | | | | | | | | |            (71), (74), (76), (78), (100), (135) are
% 245.44/49.37  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | |   (136)  (all_25_23 = e14 & op1(e10, e11) = e14) |
% 245.44/49.37  | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (9), (36), (52), (74), (136) are inconsistent
% 245.44/49.37  | | | | | | | | | | | | | | | |            by sub-proof #1034.
% 245.44/49.37  | | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | |   (137)  all_25_10 = e11 & op1(e13, e11) = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | ALPHA: (137) implies:
% 245.44/49.37  | | | | | | | | | | |   (138)  all_25_10 = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | COMBINE_EQS: (50), (138) imply:
% 245.44/49.37  | | | | | | | | | | |   (139)  e14 = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | SIMP: (139) implies:
% 245.44/49.37  | | | | | | | | | | |   (140)  e14 = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | COMBINE_EQS: (24), (140) imply:
% 245.44/49.37  | | | | | | | | | | |   (141)  all_25_13 = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (36), (75),
% 245.44/49.37  | | | | | | | | | | |            (80), (105), (141) are inconsistent by sub-proof
% 245.44/49.37  | | | | | | | | | | |            #1169.
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | |   (142)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.44/49.37  | | | | | | | | | |          (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.44/49.37  | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | BETA: splitting (142) gives:
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | |   (143)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | REF_CLOSE: (10), (11), (21), (22), (25), (28), (36), (37),
% 245.44/49.37  | | | | | | | | | | |            (38), (48), (53), (60), (76), (143) are
% 245.44/49.37  | | | | | | | | | | |            inconsistent by sub-proof #1018.
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | |   (144)  (all_25_15 = e11 & op1(e11, e11) = e11) |
% 245.44/49.37  | | | | | | | | | | |          (all_25_23 = e11 & op1(e10, e11) = e11)
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | | REF_CLOSE: (15), (43), (92), (100), (144) are inconsistent by
% 245.44/49.37  | | | | | | | | | | |            sub-proof #1016.
% 245.44/49.37  | | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | 
% 245.44/49.37  | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | 
% 245.44/49.37  | | | | | | | | |   (145)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21
% 245.44/49.37  | | | | | | | | |            = e10 & op1(e10, e13) = e10)
% 245.44/49.37  | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | BETA: splitting (145) gives:
% 245.44/49.37  | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | |   (146)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | REF_CLOSE: (2), (24), (146) are inconsistent by sub-proof
% 245.44/49.37  | | | | | | | | | |            #1159.
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | Case 2:
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | |   (147)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | | REF_CLOSE: (2), (4), (5), (10), (11), (16), (17), (21), (22),
% 245.44/49.37  | | | | | | | | | |            (23), (25), (35), (36), (37), (38), (45), (46),
% 245.44/49.37  | | | | | | | | | |            (48), (53), (60), (73), (76), (80), (83), (147)
% 245.44/49.37  | | | | | | | | | |            are inconsistent by sub-proof #1192.
% 245.44/49.37  | | | | | | | | | | 
% 245.44/49.37  | | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | | 
% 245.44/49.37  | | | | | | | | End of split
% 245.44/49.37  | | | | | | | | 
% 245.44/49.37  | | | | | | | End of split
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | End of split
% 245.44/49.37  | | | | | | 
% 245.44/49.37  | | | | | End of split
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | End of split
% 245.44/49.37  | | | | 
% 245.44/49.37  | | | Case 2:
% 245.44/49.37  | | | | 
% 245.44/49.37  | | | |   (148)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.44/49.37  | | | | 
% 245.44/49.37  | | | | ALPHA: (148) implies:
% 245.44/49.37  | | | |   (149)  all_25_19 = e10
% 245.44/49.37  | | | | 
% 245.44/49.37  | | | | BETA: splitting (70) gives:
% 245.44/49.37  | | | | 
% 245.44/49.37  | | | | Case 1:
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | |   (150)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 245.44/49.37  | | | | |            op1(e13, e13) = e10)
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | | REF_CLOSE: (2), (4), (5), (7), (14), (15), (16), (21), (23), (36),
% 245.44/49.37  | | | | |            (37), (38), (43), (45), (46), (49), (54), (73), (80), (150)
% 245.44/49.37  | | | | |            are inconsistent by sub-proof #1279.
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | Case 2:
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | |   (151)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.44/49.37  | | | | |            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) =
% 245.44/49.37  | | | | |            e10)
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | | BETA: splitting (151) gives:
% 245.44/49.37  | | | | | 
% 245.44/49.37  | | | | | Case 1:
% 245.44/49.37  | | | | | | 
% 245.44/49.37  | | | | | |   (152)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.44/49.37  | | | | | | 
% 245.44/49.37  | | | | | | ALPHA: (152) implies:
% 245.44/49.37  | | | | | |   (153)  all_25_7 = e10
% 245.44/49.37  | | | | | | 
% 245.44/49.37  | | | | | | BETA: splitting (77) gives:
% 245.44/49.37  | | | | | | 
% 245.44/49.37  | | | | | | Case 1:
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | |   (154)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 =
% 245.44/49.37  | | | | | | |            e12 & op1(e13, e10) = e12)
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | | REF_CLOSE: (21), (30), (36), (38), (45), (58), (59), (61), (62),
% 245.44/49.37  | | | | | | |            (64), (65), (68), (71), (74), (154) are inconsistent by
% 245.44/49.37  | | | | | | |            sub-proof #1224.
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | Case 2:
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | |   (155)  (all_25_18 = e12 & op1(e12, e10) = e12) | (all_25_19 =
% 245.44/49.37  | | | | | | |            e12 & op1(e11, e10) = e12) | (all_25_24 = e12 &
% 245.44/49.37  | | | | | | |            op1(e10, e10) = e12)
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | | BETA: splitting (155) gives:
% 245.44/49.37  | | | | | | | 
% 245.44/49.37  | | | | | | | Case 1:
% 245.44/49.37  | | | | | | | | 
% 245.44/49.38  | | | | | | | |   (156)  all_25_18 = e12 & op1(e12, e10) = e12
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | | ALPHA: (156) implies:
% 245.44/49.38  | | | | | | | |   (157)  all_25_18 = e12
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | | BETA: splitting (34) gives:
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | |   (158)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17
% 245.44/49.38  | | | | | | | | |            = e11 & op1(e13, e10) = e11)
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | BETA: splitting (158) gives:
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | |   (159)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | ALPHA: (159) implies:
% 245.44/49.38  | | | | | | | | | |   (160)  all_25_16 = e11
% 245.44/49.38  | | | | | | | | | |   (161)  op1(e14, e10) = e11
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | BETA: splitting (79) gives:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | |   (162)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1
% 245.44/49.38  | | | | | | | | | | |            = e14 & op1(e14, e13) = e14)
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | BETA: splitting (162) gives:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | |   (163)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | ALPHA: (163) implies:
% 245.44/49.38  | | | | | | | | | | | |   (164)  all_25_0 = e14
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | BETA: splitting (31) gives:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | |   (165)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1
% 245.44/49.38  | | | | | | | | | | | | |            = e10 & op1(e14, e13) = e10)
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | BETA: splitting (165) gives:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | |   (166)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | ALPHA: (166) implies:
% 245.44/49.38  | | | | | | | | | | | | | |   (167)  all_25_0 = e10
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (16), (23), (29), (36), (56),
% 245.44/49.38  | | | | | | | | | | | | | |            (79), (80), (160), (167) are inconsistent by
% 245.44/49.38  | | | | | | | | | | | | | |            sub-proof #1219.
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | |   (168)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (7), (14), (15), (16), (21), (23),
% 245.44/49.38  | | | | | | | | | | | | | |            (36), (37), (38), (43), (45), (46), (49), (54),
% 245.44/49.38  | | | | | | | | | | | | | |            (73), (80), (168) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | | | | |            #1280.
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | |   (169)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9
% 245.44/49.38  | | | | | | | | | | | | |            = e10 & op1(e14, e11) = e10) | (all_25_16 = e10
% 245.44/49.38  | | | | | | | | | | | | |            & op1(e14, e10) = e10)
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | BETA: splitting (169) gives:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | |   (170)  all_25_4 = e10 & op1(e14, e12) = e10
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | ALPHA: (170) implies:
% 245.44/49.38  | | | | | | | | | | | | | |   (171)  all_25_4 = e10
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (11), (16), (17), (21), (22), (23),
% 245.44/49.38  | | | | | | | | | | | | | |            (25), (36), (37), (38), (45), (46), (48), (53),
% 245.44/49.38  | | | | | | | | | | | | | |            (60), (73), (76), (80), (83), (171) are
% 245.44/49.38  | | | | | | | | | | | | | |            inconsistent by sub-proof #1242.
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | |   (172)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 245.44/49.38  | | | | | | | | | | | | | |          (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | |   (173)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 245.44/49.38  | | | | | | | | | | | | | | |   (174)  all_25_9 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | |   (175)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2
% 245.44/49.38  | | | | | | | | | | | | | | | |            = e10 & op1(e13, e14) = e10)
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (7), (10), (14), (15), (16), (19), (21),
% 245.44/49.38  | | | | | | | | | | | | | | | |            (23), (29), (36), (37), (38), (43), (45), (46),
% 245.44/49.38  | | | | | | | | | | | | | | | |            (49), (54), (56), (73), (79), (80), (174), (175)
% 245.44/49.38  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1217.
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | |   (176)  (all_25_6 = e10 & op1(e12, e14) = e10) |
% 245.44/49.38  | | | | | | | | | | | | | | | |          (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.44/49.38  | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | |   (177)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | |   (178)  all_25_6 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | |   (179)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |   (180)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (178), (180) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |            #1015.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |   (181)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (153), (181) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |            #1014.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | |   (182)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |   (183)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |   (184)  all_25_8 = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |   (185)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (186)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (187)  all_25_6 = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (187) imply:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (188)  e14 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (189)  e14 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (189) imply:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (190)  all_25_0 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (15), (16), (19), (23), (29),
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            (36), (37), (43), (56), (79), (80), (174), (190)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1218.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (191)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (192)  all_25_7 = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (192) imply:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (193)  e14 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (194)  e14 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (194) imply:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (195)  all_25_0 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (15), (16), (19), (23), (29),
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            (36), (37), (43), (56), (79), (80), (174), (195)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1218.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |   (196)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (197)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (198)  all_25_8 = e14
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (24), (36),
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            (75), (80), (153), (184), (198) are inconsistent
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1168.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |   (199)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (24), (27),
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            (36), (42), (75), (80), (153), (157), (199) are
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1160.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |   (200)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.44/49.38  | | | | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |   (201)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (21), (22), (25), (28), (36), (37),
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |            (38), (48), (53), (60), (76), (201) are
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1018.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |   (202)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (157), (202) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | |            #1148.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | |   (203)  (all_25_12 = e10 & op1(e11, e14) = e10) |
% 245.44/49.38  | | | | | | | | | | | | | | | | |          (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | |   (204)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (10), (11), (16), (17), (21), (22),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (23), (25), (36), (37), (38), (39), (45), (46),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (48), (53), (60), (73), (76), (80), (83), (204)
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1021.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | |   (205)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 245.44/49.38  | | | | | | | | | | | | | | | | | |   (206)  all_25_20 = e10
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (14), (15), (16), (18), (21), (22), (23), (25),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (30), (35), (36), (37), (38), (41), (43), (45),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (46), (48), (49), (51), (52), (53), (54), (55),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (60), (61), (62), (63), (64), (65), (68), (71),
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            (73), (74), (76), (80), (161), (206) are
% 245.44/49.38  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1038.
% 245.44/49.38  | | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | |   (207)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | | REF_CLOSE: (36), (58), (67), (207) are inconsistent by
% 245.44/49.38  | | | | | | | | | | | | | | |            sub-proof #1232.
% 245.44/49.38  | | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | |   (208)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (24), (36),
% 245.44/49.38  | | | | | | | | | | | |            (75), (80), (153), (208) are inconsistent by
% 245.44/49.38  | | | | | | | | | | | |            sub-proof #1019.
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | |   (209)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9
% 245.44/49.38  | | | | | | | | | | |            = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 245.44/49.38  | | | | | | | | | | |            & op1(e14, e10) = e14)
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | BETA: splitting (209) gives:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | |   (210)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (16), (17), (18), (23), (24),
% 245.44/49.38  | | | | | | | | | | | |            (36), (75), (80), (153), (210) are inconsistent by
% 245.44/49.38  | | | | | | | | | | | |            sub-proof #1063.
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | |   (211)  (all_25_9 = e14 & op1(e14, e11) = e14) |
% 245.44/49.38  | | | | | | | | | | | |          (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | |   (212)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | REF_CLOSE: (29), (36), (56), (212) are inconsistent by
% 245.44/49.38  | | | | | | | | | | | | |            sub-proof #1340.
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | |   (213)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | ALPHA: (213) implies:
% 245.44/49.38  | | | | | | | | | | | | |   (214)  all_25_16 = e14
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | | REF_CLOSE: (2), (7), (16), (17), (18), (23), (24), (36),
% 245.44/49.38  | | | | | | | | | | | | |            (75), (80), (153), (160), (214) are inconsistent
% 245.44/49.38  | | | | | | | | | | | | |            by sub-proof #1138.
% 245.44/49.38  | | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | |   (215)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | REF_CLOSE: (10), (11), (21), (22), (25), (36), (37), (38),
% 245.44/49.38  | | | | | | | | | |            (48), (53), (60), (76), (83), (215) are
% 245.44/49.38  | | | | | | | | | |            inconsistent by sub-proof #1155.
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | |   (216)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19
% 245.44/49.38  | | | | | | | | |            = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 245.44/49.38  | | | | | | | | |            op1(e10, e10) = e11)
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | BETA: splitting (216) gives:
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | |   (217)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | REF_CLOSE: (15), (157), (217) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | |            #1148.
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | |   (218)  (all_25_19 = e11 & op1(e11, e10) = e11) |
% 245.44/49.38  | | | | | | | | | |          (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | BETA: splitting (218) gives:
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | Case 1:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | |   (219)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | REF_CLOSE: (43), (149), (219) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | |            #1103.
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | |   (220)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | | REF_CLOSE: (9), (43), (220) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | | | | |            #1201.
% 245.44/49.38  | | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | | 
% 245.44/49.38  | | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | | 
% 245.44/49.38  | | | | | | | | End of split
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | Case 2:
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | |   (221)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 =
% 245.44/49.38  | | | | | | | |            e12 & op1(e10, e10) = e12)
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (14), (15), (16), (21), (23),
% 245.44/49.38  | | | | | | | |            (36), (37), (38), (43), (45), (46), (49), (54), (73),
% 245.44/49.38  | | | | | | | |            (80), (149), (221) are inconsistent by sub-proof
% 245.44/49.38  | | | | | | | |            #1012.
% 245.44/49.38  | | | | | | | | 
% 245.44/49.38  | | | | | | | End of split
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | End of split
% 245.44/49.38  | | | | | | 
% 245.44/49.38  | | | | | Case 2:
% 245.44/49.38  | | | | | | 
% 245.44/49.38  | | | | | |   (222)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10
% 245.44/49.38  | | | | | |            & op1(e10, e13) = e10)
% 245.44/49.38  | | | | | | 
% 245.44/49.38  | | | | | | BETA: splitting (222) gives:
% 245.44/49.38  | | | | | | 
% 245.44/49.38  | | | | | | Case 1:
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | |   (223)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | | REF_CLOSE: (2), (24), (223) are inconsistent by sub-proof #1159.
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | Case 2:
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | |   (224)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | | REF_CLOSE: (2), (4), (5), (10), (11), (16), (17), (21), (22),
% 245.44/49.38  | | | | | | |            (23), (25), (35), (36), (37), (38), (45), (46), (48),
% 245.44/49.38  | | | | | | |            (53), (60), (73), (76), (80), (83), (224) are
% 245.44/49.38  | | | | | | |            inconsistent by sub-proof #1192.
% 245.44/49.38  | | | | | | | 
% 245.44/49.38  | | | | | | End of split
% 245.44/49.38  | | | | | | 
% 245.44/49.38  | | | | | End of split
% 245.44/49.38  | | | | | 
% 245.44/49.38  | | | | End of split
% 245.44/49.38  | | | | 
% 245.44/49.38  | | | End of split
% 245.44/49.38  | | | 
% 245.44/49.38  | | End of split
% 245.44/49.38  | | 
% 245.44/49.38  | End of split
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1012 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)   ~ (e14 = e10)
% 245.44/49.38    (2)  all_25_2 = e12
% 245.44/49.38    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.38           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.38           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.38    (4)  all_25_24 = e10
% 245.44/49.38    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.38           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.38           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.38    (6)   ~ (e12 = e11)
% 245.44/49.38    (7)   ~ (e14 = e11)
% 245.44/49.38    (8)   ~ (e13 = e10)
% 245.44/49.38    (9)   ~ (e14 = e13)
% 245.44/49.38    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.38            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.38    (11)   ~ (e13 = e11)
% 245.44/49.38    (12)  op1(e13, e12) = e10
% 245.44/49.38    (13)  (all_25_19 = e12 & op1(e11, e10) = e12) | (all_25_24 = e12 & op1(e10,
% 245.44/49.38              e10) = e12)
% 245.44/49.38    (14)   ~ (e11 = e10)
% 245.44/49.38    (15)   ~ (e13 = e12)
% 245.44/49.38    (16)  op1(e13, e13) = e11
% 245.44/49.38    (17)   ~ (e12 = e10)
% 245.44/49.38    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.38            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.38            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.38    (19)  all_25_19 = e10
% 245.44/49.38    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.38            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.38            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.38    (21)   ~ (e14 = e12)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | BETA: splitting (13) gives:
% 245.44/49.38  | 
% 245.44/49.38  | Case 1:
% 245.44/49.38  | | 
% 245.44/49.38  | |   (22)  all_25_19 = e12 & op1(e11, e10) = e12
% 245.44/49.38  | | 
% 245.44/49.38  | | ALPHA: (22) implies:
% 245.44/49.38  | |   (23)  all_25_19 = e12
% 245.44/49.38  | | 
% 245.44/49.38  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 245.44/49.38  | |            (15), (16), (17), (18), (19), (20), (21), (23) are inconsistent
% 245.44/49.38  | |            by sub-proof #1071.
% 245.44/49.38  | | 
% 245.44/49.38  | Case 2:
% 245.44/49.38  | | 
% 245.44/49.38  | |   (24)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.44/49.38  | | 
% 245.44/49.38  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.44/49.38  | |            (14), (15), (16), (17), (18), (20), (21), (24) are inconsistent
% 245.44/49.38  | |            by sub-proof #1013.
% 245.44/49.38  | | 
% 245.44/49.38  | End of split
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1013 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)   ~ (e14 = e10)
% 245.44/49.38    (2)  all_25_2 = e12
% 245.44/49.38    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.38           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.38           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.38    (4)  all_25_24 = e10
% 245.44/49.38    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.38           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.38           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.38    (6)   ~ (e12 = e11)
% 245.44/49.38    (7)   ~ (e14 = e11)
% 245.44/49.38    (8)   ~ (e13 = e10)
% 245.44/49.38    (9)   ~ (e14 = e13)
% 245.44/49.38    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.38            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.38    (11)   ~ (e13 = e11)
% 245.44/49.38    (12)  op1(e13, e12) = e10
% 245.44/49.38    (13)   ~ (e11 = e10)
% 245.44/49.38    (14)   ~ (e13 = e12)
% 245.44/49.38    (15)  op1(e13, e13) = e11
% 245.44/49.38    (16)   ~ (e12 = e10)
% 245.44/49.38    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.38            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.38            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.38    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.38            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.38            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.38    (19)   ~ (e14 = e12)
% 245.44/49.38    (20)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (20) implies:
% 245.44/49.38  |   (21)  all_25_24 = e12
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (4), (21) imply:
% 245.44/49.38  |   (22)  e12 = e10
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (22) imply:
% 245.44/49.38  |   (23)  all_25_2 = e10
% 245.44/49.38  | 
% 245.44/49.38  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.44/49.38  |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 245.44/49.38  |            #1281.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1014 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.44/49.38    (2)  all_25_7 = e10
% 245.44/49.38    (3)   ~ (e11 = e10)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (1) implies:
% 245.44/49.38  |   (4)  all_25_7 = e11
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.38  |   (5)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | SIMP: (5) implies:
% 245.44/49.38  |   (6)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | REDUCE: (3), (6) imply:
% 245.44/49.38  |   (7)  $false
% 245.44/49.38  | 
% 245.44/49.38  | CLOSE: (7) is inconsistent.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1015 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.44/49.38    (2)  all_25_6 = e10
% 245.44/49.38    (3)   ~ (e11 = e10)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (1) implies:
% 245.44/49.38  |   (4)  all_25_6 = e11
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.38  |   (5)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | SIMP: (5) implies:
% 245.44/49.38  |   (6)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | REDUCE: (3), (6) imply:
% 245.44/49.38  |   (7)  $false
% 245.44/49.38  | 
% 245.44/49.38  | CLOSE: (7) is inconsistent.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1016 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)   ~ (e12 = e11)
% 245.44/49.38    (2)   ~ (e11 = e10)
% 245.44/49.38    (3)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_23 = e11 & op1(e10,
% 245.44/49.38             e11) = e11)
% 245.44/49.38    (4)  all_25_15 = e10
% 245.44/49.38    (5)  all_25_23 = e12
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | BETA: splitting (3) gives:
% 245.44/49.38  | 
% 245.44/49.38  | Case 1:
% 245.44/49.38  | | 
% 245.44/49.38  | |   (6)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.44/49.38  | | 
% 245.44/49.38  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1017.
% 245.44/49.38  | | 
% 245.44/49.38  | Case 2:
% 245.44/49.38  | | 
% 245.44/49.38  | |   (7)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.44/49.38  | | 
% 245.44/49.38  | | ALPHA: (7) implies:
% 245.44/49.38  | |   (8)  all_25_23 = e11
% 245.44/49.38  | | 
% 245.44/49.38  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1262.
% 245.44/49.38  | | 
% 245.44/49.38  | End of split
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1017 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.44/49.38    (2)  all_25_15 = e10
% 245.44/49.38    (3)   ~ (e11 = e10)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (1) implies:
% 245.44/49.38  |   (4)  all_25_15 = e11
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.38  |   (5)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | SIMP: (5) implies:
% 245.44/49.38  |   (6)  e11 = e10
% 245.44/49.38  | 
% 245.44/49.38  | REDUCE: (3), (6) imply:
% 245.44/49.38  |   (7)  $false
% 245.44/49.38  | 
% 245.44/49.38  | CLOSE: (7) is inconsistent.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1018 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  all_25_4 = e13
% 245.44/49.38    (2)   ~ (all_14_12 = e13)
% 245.44/49.38    (3)   ~ (e13 = e10)
% 245.44/49.38    (4)  op1(e11, e12) = all_14_13
% 245.44/49.38    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.38           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.38           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.38    (6)  all_25_11 = e13
% 245.44/49.38    (7)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.44/49.38    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.38           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.38    (9)   ~ (e13 = e11)
% 245.44/49.38    (10)  op1(e13, e12) = e10
% 245.44/49.38    (11)   ~ (all_14_13 = e13)
% 245.44/49.38    (12)   ~ (all_14_14 = e13)
% 245.44/49.38    (13)  op1(e12, e12) = all_14_12
% 245.44/49.38    (14)  op1(e10, e12) = all_14_14
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (7) implies:
% 245.44/49.38  |   (15)  all_25_11 = e11
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (6), (15) imply:
% 245.44/49.38  |   (16)  e13 = e11
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (1), (16) imply:
% 245.44/49.38  |   (17)  all_25_4 = e11
% 245.44/49.38  | 
% 245.44/49.38  | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (17)
% 245.44/49.38  |            are inconsistent by sub-proof #1239.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1019 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)   ~ (e14 = e10)
% 245.44/49.38    (2)  all_25_1 = e12
% 245.44/49.38    (3)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.44/49.38    (4)   ~ (e14 = e11)
% 245.44/49.38    (5)  all_25_3 = e11
% 245.44/49.38    (6)  op1(e10, e13) = e13
% 245.44/49.38    (7)   ~ (e14 = e13)
% 245.44/49.38    (8)  all_25_13 = e14
% 245.44/49.38    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.38           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.38    (10)  all_25_7 = e10
% 245.44/49.38    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.38            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.38            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.38    (12)   ~ (e14 = e12)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (3) implies:
% 245.44/49.38  |   (13)  all_25_1 = e14
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (13) imply:
% 245.44/49.38  |   (14)  e14 = e12
% 245.44/49.38  | 
% 245.44/49.38  | SIMP: (14) implies:
% 245.44/49.38  |   (15)  e14 = e12
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (8), (15) imply:
% 245.44/49.38  |   (16)  all_25_13 = e12
% 245.44/49.38  | 
% 245.44/49.38  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (16) are
% 245.44/49.38  |            inconsistent by sub-proof #1194.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1020 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.44/49.38    (2)  all_25_11 = e13
% 245.44/49.38    (3)   ~ (e13 = e12)
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (1) implies:
% 245.44/49.38  |   (4)  all_25_11 = e12
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.38  |   (5)  e13 = e12
% 245.44/49.38  | 
% 245.44/49.38  | SIMP: (5) implies:
% 245.44/49.38  |   (6)  e13 = e12
% 245.44/49.38  | 
% 245.44/49.38  | REDUCE: (3), (6) imply:
% 245.44/49.38  |   (7)  $false
% 245.44/49.38  | 
% 245.44/49.38  | CLOSE: (7) is inconsistent.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1021 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)   ~ (e14 = e10)
% 245.44/49.38    (2)  all_25_2 = e12
% 245.44/49.38    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.38           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.38           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.38    (4)  all_25_4 = e13
% 245.44/49.38    (5)   ~ (all_14_12 = e13)
% 245.44/49.38    (6)   ~ (e14 = e11)
% 245.44/49.38    (7)  all_25_3 = e11
% 245.44/49.38    (8)   ~ (e13 = e10)
% 245.44/49.38    (9)  op1(e11, e12) = all_14_13
% 245.44/49.38    (10)   ~ (e14 = e13)
% 245.44/49.38    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.38            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.38            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.38    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.38            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.38    (13)   ~ (e13 = e11)
% 245.44/49.38    (14)  op1(e13, e12) = e10
% 245.44/49.38    (15)  all_25_12 = e13
% 245.44/49.38    (16)   ~ (e13 = e12)
% 245.44/49.38    (17)  op1(e13, e13) = e11
% 245.44/49.38    (18)   ~ (all_14_13 = e13)
% 245.44/49.38    (19)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.44/49.38    (20)   ~ (all_14_14 = e13)
% 245.44/49.38    (21)  op1(e12, e12) = all_14_12
% 245.44/49.38    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.38            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.38            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.38    (23)  op1(e10, e12) = all_14_14
% 245.44/49.38    (24)   ~ (e14 = e12)
% 245.44/49.38    (25)  all_25_17 = e13
% 245.44/49.38  
% 245.44/49.38  Begin of proof
% 245.44/49.38  | 
% 245.44/49.38  | ALPHA: (19) implies:
% 245.44/49.38  |   (26)  all_25_12 = e10
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (15), (26) imply:
% 245.44/49.38  |   (27)  e13 = e10
% 245.44/49.38  | 
% 245.44/49.38  | COMBINE_EQS: (4), (27) imply:
% 245.44/49.38  |   (28)  all_25_4 = e10
% 245.44/49.38  | 
% 245.44/49.38  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.44/49.38  |            (14), (16), (17), (18), (20), (21), (22), (23), (24), (25), (28)
% 245.44/49.38  |            are inconsistent by sub-proof #1242.
% 245.44/49.38  | 
% 245.44/49.38  End of proof
% 245.44/49.38  
% 245.44/49.38  Sub-proof #1022 shows that the following formulas are inconsistent:
% 245.44/49.38  ----------------------------------------------------------------
% 245.44/49.38    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.38             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.38           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.38    (2)   ~ (e14 = e10)
% 245.44/49.38    (3)  op1(e10, e13) = all_14_9
% 245.44/49.38    (4)  all_25_2 = e12
% 245.44/49.38    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.38           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.38           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.38    (6)  all_25_1 = e12
% 245.44/49.38    (7)  all_25_24 = e10
% 245.44/49.38    (8)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.44/49.38           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.44/49.38           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.44/49.38    (9)  all_25_4 = e13
% 245.44/49.38    (10)  all_25_20 = e14
% 245.44/49.38    (11)   ~ (all_14_12 = e13)
% 245.44/49.38    (12)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.44/49.38              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.44/49.38            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.44/49.38    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.38            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.38            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.38    (14)   ~ (e12 = e11)
% 245.44/49.38    (15)   ~ (e14 = e11)
% 245.44/49.38    (16)  all_25_3 = e11
% 245.44/49.38    (17)  op1(e10, e13) = e13
% 245.44/49.39    (18)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.44/49.39            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.44/49.39            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.39    (19)   ~ (e13 = e10)
% 245.44/49.39    (20)  op1(e11, e12) = all_14_13
% 245.44/49.39    (21)   ~ (e14 = e13)
% 245.44/49.39    (22)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.39            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.39            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.39    (23)   ~ (all_14_15 = e12)
% 245.44/49.39    (24)  all_25_11 = e13
% 245.44/49.39    (25)  op1(e14, e11) = all_14_15
% 245.44/49.39    (26)  op1(e13, unit1) = e13
% 245.44/49.39    (27)  op1(e13, e11) = e14
% 245.44/49.39    (28)  all_25_21 = e13
% 245.44/49.39    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (30)  all_25_13 = e10
% 245.44/49.39    (31)   ~ (e13 = e11)
% 245.44/49.39    (32)  op1(e13, e12) = e10
% 245.44/49.39    (33)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.39              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.39            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.39    (34)   ~ (e11 = e10)
% 245.44/49.39    (35)   ~ (e13 = e12)
% 245.44/49.39    (36)  op1(e13, e13) = e11
% 245.44/49.39    (37)   ~ (all_14_13 = e13)
% 245.44/49.39    (38)   ~ (e12 = e10)
% 245.44/49.39    (39)   ~ (all_14_9 = e12)
% 245.44/49.39    (40)   ~ (all_14_19 = e14)
% 245.44/49.39    (41)   ~ (all_14_14 = e13)
% 245.44/49.39    (42)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.39    (43)  all_25_0 = e10
% 245.44/49.39    (44)  all_25_7 = e14
% 245.44/49.39    (45)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.39              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.39            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.39    (46)   ~ (all_14_15 = e14)
% 245.44/49.39    (47)   ~ (all_14_19 = e13)
% 245.44/49.39    (48)  op1(e12, e12) = all_14_12
% 245.44/49.39    (49)  op1(e10, unit1) = e10
% 245.44/49.39    (50)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.39    (51)  op1(unit1, e14) = e14
% 245.44/49.39    (52)  op1(e14, e12) = all_14_10
% 245.44/49.39    (53)   ~ (all_14_10 = e12)
% 245.44/49.39    (54)   ~ (all_14_19 = e10)
% 245.44/49.39    (55)  op1(unit1, e12) = e12
% 245.44/49.39    (56)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.44/49.39              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.44/49.39            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.44/49.39    (57)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.39    (58)  op1(e10, e11) = all_14_19
% 245.44/49.39    (59)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.39            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.39    (60)  op1(e10, e12) = all_14_14
% 245.44/49.39    (61)  op1(e13, e14) = e12
% 245.44/49.39    (62)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.44/49.39            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.44/49.39            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.39    (63)   ~ (e14 = e12)
% 245.44/49.39    (64)  all_25_17 = e13
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | BETA: splitting (62) gives:
% 245.44/49.39  | 
% 245.44/49.39  | Case 1:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (65)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.44/49.39  | |             e13) = e14)
% 245.44/49.39  | | 
% 245.44/49.39  | | BETA: splitting (65) gives:
% 245.44/49.39  | | 
% 245.44/49.39  | | Case 1:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (66)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.44/49.39  | | | 
% 245.44/49.39  | | | ALPHA: (66) implies:
% 245.44/49.39  | | |   (67)  all_25_0 = e14
% 245.44/49.39  | | | 
% 245.44/49.39  | | | COMBINE_EQS: (43), (67) imply:
% 245.44/49.39  | | |   (68)  e14 = e10
% 245.44/49.39  | | | 
% 245.44/49.39  | | | SIMP: (68) implies:
% 245.44/49.39  | | |   (69)  e14 = e10
% 245.44/49.39  | | | 
% 245.44/49.39  | | | COMBINE_EQS: (10), (69) imply:
% 245.44/49.39  | | |   (70)  all_25_20 = e10
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (13), (14), (15),
% 245.44/49.39  | | |            (16), (17), (19), (20), (21), (22), (26), (28), (29), (31),
% 245.44/49.39  | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 245.44/49.39  | | |            (42), (45), (47), (48), (49), (50), (51), (52), (53), (54),
% 245.44/49.39  | | |            (55), (56), (57), (58), (60), (61), (63), (64), (70) are
% 245.44/49.39  | | |            inconsistent by sub-proof #1197.
% 245.44/49.39  | | | 
% 245.44/49.39  | | Case 2:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (71)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (6), (63), (71) are inconsistent by sub-proof #1292.
% 245.44/49.39  | | | 
% 245.44/49.39  | | End of split
% 245.44/49.39  | | 
% 245.44/49.39  | Case 2:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (72)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.44/49.39  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.39  | | 
% 245.44/49.39  | | BETA: splitting (72) gives:
% 245.44/49.39  | | 
% 245.44/49.39  | | Case 1:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (73)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (2), (6), (9), (15), (16), (17), (21), (29), (30), (44), (59),
% 245.44/49.39  | | |            (63), (73) are inconsistent by sub-proof #1106.
% 245.44/49.39  | | | 
% 245.44/49.39  | | Case 2:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (74)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 245.44/49.39  | | |           op1(e14, e10) = e14)
% 245.44/49.39  | | | 
% 245.44/49.39  | | | BETA: splitting (74) gives:
% 245.44/49.39  | | | 
% 245.44/49.39  | | | Case 1:
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | |   (75)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | REF_CLOSE: (25), (29), (46), (75) are inconsistent by sub-proof #1340.
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | Case 2:
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | |   (76)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | ALPHA: (76) implies:
% 245.44/49.39  | | | |   (77)  all_25_16 = e14
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.44/49.39  | | | |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (23),
% 245.44/49.39  | | | |            (24), (25), (26), (27), (28), (29), (31), (32), (34), (35),
% 245.44/49.39  | | | |            (36), (37), (38), (41), (42), (43), (46), (48), (49), (50),
% 245.44/49.39  | | | |            (52), (53), (54), (55), (57), (58), (60), (62), (63), (64),
% 245.44/49.39  | | | |            (77) are inconsistent by sub-proof #1023.
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | End of split
% 245.44/49.39  | | | 
% 245.44/49.39  | | End of split
% 245.44/49.39  | | 
% 245.44/49.39  | End of split
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1023 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.39             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.39           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.39    (2)   ~ (e14 = e10)
% 245.44/49.39    (3)  all_25_2 = e12
% 245.44/49.39    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.39    (5)  all_25_1 = e12
% 245.44/49.39    (6)  all_25_24 = e10
% 245.44/49.39    (7)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.44/49.39           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.44/49.39           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.44/49.39    (8)  all_25_4 = e13
% 245.44/49.39    (9)  all_25_20 = e14
% 245.44/49.39    (10)   ~ (all_14_12 = e13)
% 245.44/49.39    (11)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13,
% 245.44/49.39              e11) = e12) | (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.44/49.39            e12 & op1(e11, e11) = e12) | (all_25_23 = e12 & op1(e10, e11) = e12)
% 245.44/49.39    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.39            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.39            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.39    (13)   ~ (e12 = e11)
% 245.44/49.39    (14)   ~ (e14 = e11)
% 245.44/49.39    (15)  all_25_3 = e11
% 245.44/49.39    (16)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.44/49.39            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.44/49.39            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.39    (17)   ~ (e13 = e10)
% 245.44/49.39    (18)  op1(e11, e12) = all_14_13
% 245.44/49.39    (19)   ~ (e14 = e13)
% 245.44/49.39    (20)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.39            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.39            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.39    (21)   ~ (all_14_15 = e12)
% 245.44/49.39    (22)  all_25_11 = e13
% 245.44/49.39    (23)  op1(e14, e11) = all_14_15
% 245.44/49.39    (24)  op1(e13, unit1) = e13
% 245.44/49.39    (25)  op1(e13, e11) = e14
% 245.44/49.39    (26)  all_25_21 = e13
% 245.44/49.39    (27)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (28)   ~ (e13 = e11)
% 245.44/49.39    (29)  op1(e13, e12) = e10
% 245.44/49.39    (30)   ~ (e11 = e10)
% 245.44/49.39    (31)   ~ (e13 = e12)
% 245.44/49.39    (32)  op1(e13, e13) = e11
% 245.44/49.39    (33)   ~ (all_14_13 = e13)
% 245.44/49.39    (34)   ~ (e12 = e10)
% 245.44/49.39    (35)   ~ (all_14_14 = e13)
% 245.44/49.39    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.39    (37)  all_25_0 = e10
% 245.44/49.39    (38)   ~ (all_14_15 = e14)
% 245.44/49.39    (39)  op1(e12, e12) = all_14_12
% 245.44/49.39    (40)  op1(e10, unit1) = e10
% 245.44/49.39    (41)  all_25_16 = e14
% 245.44/49.39    (42)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.39    (43)  op1(e14, e12) = all_14_10
% 245.44/49.39    (44)   ~ (all_14_10 = e12)
% 245.44/49.39    (45)   ~ (all_14_19 = e10)
% 245.44/49.39    (46)  op1(unit1, e12) = e12
% 245.44/49.39    (47)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.39    (48)  op1(e10, e11) = all_14_19
% 245.44/49.39    (49)  op1(e10, e12) = all_14_14
% 245.44/49.39    (50)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.44/49.39            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.44/49.39            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.39    (51)   ~ (e14 = e12)
% 245.44/49.39    (52)  all_25_17 = e13
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | BETA: splitting (16) gives:
% 245.44/49.39  | 
% 245.44/49.39  | Case 1:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (53)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 245.44/49.39  | |             e13) = e11)
% 245.44/49.39  | | 
% 245.44/49.39  | | BETA: splitting (53) gives:
% 245.44/49.39  | | 
% 245.44/49.39  | | Case 1:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (54)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (30), (37), (54) are inconsistent by sub-proof #1222.
% 245.44/49.39  | | | 
% 245.44/49.39  | | Case 2:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (55)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (5), (13), (55) are inconsistent by sub-proof #1240.
% 245.44/49.39  | | | 
% 245.44/49.39  | | End of split
% 245.44/49.39  | | 
% 245.44/49.39  | Case 2:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (56)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 & op1(e14,
% 245.44/49.39  | |             e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.39  | | 
% 245.44/49.39  | | BETA: splitting (56) gives:
% 245.44/49.39  | | 
% 245.44/49.39  | | Case 1:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (57)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.44/49.39  | | | 
% 245.44/49.39  | | | ALPHA: (57) implies:
% 245.44/49.39  | | |   (58)  all_25_4 = e11
% 245.44/49.39  | | | 
% 245.44/49.39  | | | REF_CLOSE: (10), (17), (18), (20), (27), (28), (29), (33), (35), (39),
% 245.44/49.39  | | |            (49), (58) are inconsistent by sub-proof #1239.
% 245.44/49.39  | | | 
% 245.44/49.39  | | Case 2:
% 245.44/49.39  | | | 
% 245.44/49.39  | | |   (59)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.44/49.39  | | |           op1(e14, e10) = e11)
% 245.44/49.39  | | | 
% 245.44/49.39  | | | BETA: splitting (59) gives:
% 245.44/49.39  | | | 
% 245.44/49.39  | | | Case 1:
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | |   (60)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | ALPHA: (60) implies:
% 245.44/49.39  | | | |   (61)  all_25_9 = e11
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | BETA: splitting (7) gives:
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | Case 1:
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | |   (62)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 &
% 245.44/49.39  | | | | |           op1(e13, e11) = e10)
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | | BETA: splitting (62) gives:
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | | Case 1:
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | |   (63)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | ALPHA: (63) implies:
% 245.44/49.39  | | | | | |   (64)  all_25_9 = e10
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | REF_CLOSE: (2), (5), (8), (13), (14), (16), (19), (23), (27), (28),
% 245.44/49.39  | | | | | |            (30), (37), (38), (50), (51), (64) are inconsistent by
% 245.44/49.39  | | | | | |            sub-proof #1218.
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | Case 2:
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | |   (65)  all_25_10 = e10 & op1(e13, e11) = e10
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | REF_CLOSE: (2), (4), (13), (17), (19), (25), (27), (28), (29), (30),
% 245.44/49.39  | | | | | |            (31), (32), (34), (36), (47), (51), (65) are inconsistent
% 245.44/49.39  | | | | | |            by sub-proof #1092.
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | End of split
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | Case 2:
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | |   (66)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.44/49.39  | | | | |           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) =
% 245.44/49.39  | | | | |           e10)
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | | BETA: splitting (66) gives:
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | | Case 1:
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | |   (67)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | REF_CLOSE: (2), (3), (4), (8), (10), (14), (15), (17), (18), (19),
% 245.44/49.39  | | | | | |            (20), (22), (27), (28), (29), (31), (32), (33), (35),
% 245.44/49.39  | | | | | |            (39), (47), (49), (51), (52), (67) are inconsistent by
% 245.44/49.39  | | | | | |            sub-proof #1026.
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | Case 2:
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | |   (68)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 &
% 245.44/49.39  | | | | | |           op1(e10, e11) = e10)
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | BETA: splitting (68) gives:
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | | Case 1:
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | |   (69)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | | ALPHA: (69) implies:
% 245.44/49.39  | | | | | | |   (70)  all_25_15 = e10
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | | BETA: splitting (11) gives:
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | | Case 1:
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | |   (71)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 =
% 245.44/49.39  | | | | | | | |           e12 & op1(e13, e11) = e12)
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | | REF_CLOSE: (21), (23), (25), (27), (51), (71) are inconsistent
% 245.44/49.39  | | | | | | | |            by sub-proof #1223.
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | Case 2:
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | |   (72)  (all_25_11 = e12 & op1(e12, e11) = e12) | (all_25_15 =
% 245.44/49.39  | | | | | | | |           e12 & op1(e11, e11) = e12) | (all_25_23 = e12 &
% 245.44/49.39  | | | | | | | |           op1(e10, e11) = e12)
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | | BETA: splitting (72) gives:
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | | Case 1:
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | |   (73)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | REF_CLOSE: (22), (31), (73) are inconsistent by sub-proof
% 245.44/49.39  | | | | | | | | |            #1025.
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | Case 2:
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | |   (74)  (all_25_15 = e12 & op1(e11, e11) = e12) | (all_25_23 =
% 245.44/49.39  | | | | | | | | |           e12 & op1(e10, e11) = e12)
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | BETA: splitting (74) gives:
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | Case 1:
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | |   (75)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | | REF_CLOSE: (2), (3), (4), (12), (13), (14), (17), (19), (27),
% 245.44/49.39  | | | | | | | | | |            (28), (29), (30), (31), (32), (34), (36), (47),
% 245.44/49.39  | | | | | | | | | |            (51), (70), (75) are inconsistent by sub-proof
% 245.44/49.39  | | | | | | | | | |            #1024.
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | Case 2:
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | |   (76)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | | ALPHA: (76) implies:
% 245.44/49.39  | | | | | | | | | |   (77)  all_25_23 = e12
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (8), (9), (10), (13), (14),
% 245.44/49.39  | | | | | | | | | |            (16), (17), (18), (19), (20), (23), (24), (26),
% 245.44/49.39  | | | | | | | | | |            (27), (28), (29), (30), (33), (35), (37), (38),
% 245.44/49.39  | | | | | | | | | |            (39), (40), (41), (42), (43), (44), (45), (46),
% 245.44/49.39  | | | | | | | | | |            (48), (49), (50), (51), (61), (77) are
% 245.44/49.39  | | | | | | | | | |            inconsistent by sub-proof #1126.
% 245.44/49.39  | | | | | | | | | | 
% 245.44/49.39  | | | | | | | | | End of split
% 245.44/49.39  | | | | | | | | | 
% 245.44/49.39  | | | | | | | | End of split
% 245.44/49.39  | | | | | | | | 
% 245.44/49.39  | | | | | | | End of split
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | Case 2:
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | |   (78)  all_25_23 = e10 & op1(e10, e11) = e10
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | | ALPHA: (78) implies:
% 245.44/49.39  | | | | | | |   (79)  op1(e10, e11) = e10
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | | REF_CLOSE: (27), (45), (48), (79) are inconsistent by sub-proof
% 245.44/49.39  | | | | | | |            #1267.
% 245.44/49.39  | | | | | | | 
% 245.44/49.39  | | | | | | End of split
% 245.44/49.39  | | | | | | 
% 245.44/49.39  | | | | | End of split
% 245.44/49.39  | | | | | 
% 245.44/49.39  | | | | End of split
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | Case 2:
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | |   (80)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | ALPHA: (80) implies:
% 245.44/49.39  | | | |   (81)  all_25_16 = e11
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | | REF_CLOSE: (2), (5), (8), (14), (19), (23), (27), (37), (38), (50),
% 245.44/49.39  | | | |            (51), (81) are inconsistent by sub-proof #1219.
% 245.44/49.39  | | | | 
% 245.44/49.39  | | | End of split
% 245.44/49.39  | | | 
% 245.44/49.39  | | End of split
% 245.44/49.39  | | 
% 245.44/49.39  | End of split
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1024 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)   ~ (e14 = e10)
% 245.44/49.39    (2)  all_25_2 = e12
% 245.44/49.39    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.39    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.39           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.39           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.39    (5)   ~ (e12 = e11)
% 245.44/49.39    (6)   ~ (e14 = e11)
% 245.44/49.39    (7)   ~ (e13 = e10)
% 245.44/49.39    (8)   ~ (e14 = e13)
% 245.44/49.39    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (10)   ~ (e13 = e11)
% 245.44/49.39    (11)  op1(e13, e12) = e10
% 245.44/49.39    (12)   ~ (e11 = e10)
% 245.44/49.39    (13)   ~ (e13 = e12)
% 245.44/49.39    (14)  op1(e13, e13) = e11
% 245.44/49.39    (15)   ~ (e12 = e10)
% 245.44/49.39    (16)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.44/49.39    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.39    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.39    (19)   ~ (e14 = e12)
% 245.44/49.39    (20)  all_25_15 = e10
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (16) implies:
% 245.44/49.39  |   (21)  all_25_15 = e12
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (20), (21) imply:
% 245.44/49.39  |   (22)  e12 = e10
% 245.44/49.39  | 
% 245.44/49.39  | SIMP: (22) implies:
% 245.44/49.39  |   (23)  e12 = e10
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (2), (23) imply:
% 245.44/49.39  |   (24)  all_25_2 = e10
% 245.44/49.39  | 
% 245.44/49.39  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.44/49.39  |            (14), (15), (17), (18), (19), (24) are inconsistent by sub-proof
% 245.44/49.39  |            #1281.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1025 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)  all_25_11 = e12 & op1(e12, e11) = e12
% 245.44/49.39    (2)  all_25_11 = e13
% 245.44/49.39    (3)   ~ (e13 = e12)
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (1) implies:
% 245.44/49.39  |   (4)  all_25_11 = e12
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.39  |   (5)  e13 = e12
% 245.44/49.39  | 
% 245.44/49.39  | REDUCE: (3), (5) imply:
% 245.44/49.39  |   (6)  $false
% 245.44/49.39  | 
% 245.44/49.39  | CLOSE: (6) is inconsistent.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1026 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)   ~ (e14 = e10)
% 245.44/49.39    (2)  all_25_2 = e12
% 245.44/49.39    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.39    (4)  all_25_4 = e13
% 245.44/49.39    (5)   ~ (all_14_12 = e13)
% 245.44/49.39    (6)   ~ (e14 = e11)
% 245.44/49.39    (7)  all_25_3 = e11
% 245.44/49.39    (8)   ~ (e13 = e10)
% 245.44/49.39    (9)  op1(e11, e12) = all_14_13
% 245.44/49.39    (10)   ~ (e14 = e13)
% 245.44/49.39    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.39            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.39            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.39    (12)  all_25_11 = e13
% 245.44/49.39    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (14)   ~ (e13 = e11)
% 245.44/49.39    (15)  op1(e13, e12) = e10
% 245.44/49.39    (16)   ~ (e13 = e12)
% 245.44/49.39    (17)  op1(e13, e13) = e11
% 245.44/49.39    (18)   ~ (all_14_13 = e13)
% 245.44/49.39    (19)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.44/49.39    (20)   ~ (all_14_14 = e13)
% 245.44/49.39    (21)  op1(e12, e12) = all_14_12
% 245.44/49.39    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.39    (23)  op1(e10, e12) = all_14_14
% 245.44/49.39    (24)   ~ (e14 = e12)
% 245.44/49.39    (25)  all_25_17 = e13
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (19) implies:
% 245.44/49.39  |   (26)  all_25_11 = e10
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (12), (26) imply:
% 245.44/49.39  |   (27)  e13 = e10
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (4), (27) imply:
% 245.44/49.39  |   (28)  all_25_4 = e10
% 245.44/49.39  | 
% 245.44/49.39  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.44/49.39  |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (25), (28)
% 245.44/49.39  |            are inconsistent by sub-proof #1242.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1027 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)   ~ (e14 = e10)
% 245.44/49.39    (2)  all_25_1 = e12
% 245.44/49.39    (3)   ~ (e14 = e11)
% 245.44/49.39    (4)  all_25_3 = e11
% 245.44/49.39    (5)  op1(e10, e13) = e13
% 245.44/49.39    (6)   ~ (e14 = e13)
% 245.44/49.39    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (8)  all_25_13 = e10
% 245.44/49.39    (9)  all_25_12 = e13
% 245.44/49.39    (10)  all_25_7 = e14
% 245.44/49.39    (11)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.44/49.39    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.39            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.39    (13)   ~ (e14 = e12)
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (11) implies:
% 245.44/49.39  |   (14)  all_25_12 = e14
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (9), (14) imply:
% 245.44/49.39  |   (15)  e14 = e13
% 245.44/49.39  | 
% 245.44/49.39  | SIMP: (15) implies:
% 245.44/49.39  |   (16)  e14 = e13
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (10), (16) imply:
% 245.44/49.39  |   (17)  all_25_7 = e13
% 245.44/49.39  | 
% 245.44/49.39  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (12), (13), (17) are
% 245.44/49.39  |            inconsistent by sub-proof #1272.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1028 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.44/49.39    (2)  all_25_6 = e10
% 245.44/49.39    (3)   ~ (e14 = e10)
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (1) implies:
% 245.44/49.39  |   (4)  all_25_6 = e14
% 245.44/49.39  | 
% 245.44/49.39  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.39  |   (5)  e14 = e10
% 245.44/49.39  | 
% 245.44/49.39  | SIMP: (5) implies:
% 245.44/49.39  |   (6)  e14 = e10
% 245.44/49.39  | 
% 245.44/49.39  | REDUCE: (3), (6) imply:
% 245.44/49.39  |   (7)  $false
% 245.44/49.39  | 
% 245.44/49.39  | CLOSE: (7) is inconsistent.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1029 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)  all_25_6 = e13 & op1(e12, e14) = e13
% 245.44/49.39    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (3)  op1(e12, e14) = all_14_2
% 245.44/49.39    (4)   ~ (all_14_2 = e13)
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | ALPHA: (1) implies:
% 245.44/49.39  |   (5)  op1(e12, e14) = e13
% 245.44/49.39  | 
% 245.44/49.39  | GROUND_INST: instantiating (2) with all_14_2, e13, e14, e12, simplifying with
% 245.44/49.39  |              (3), (5) gives:
% 245.44/49.39  |   (6)  all_14_2 = e13
% 245.44/49.39  | 
% 245.44/49.39  | REDUCE: (4), (6) imply:
% 245.44/49.39  |   (7)  $false
% 245.44/49.39  | 
% 245.44/49.39  | CLOSE: (7) is inconsistent.
% 245.44/49.39  | 
% 245.44/49.39  End of proof
% 245.44/49.39  
% 245.44/49.39  Sub-proof #1030 shows that the following formulas are inconsistent:
% 245.44/49.39  ----------------------------------------------------------------
% 245.44/49.39    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.39             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.39           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.39    (2)   ~ (e14 = e10)
% 245.44/49.39    (3)  op1(e10, e13) = all_14_9
% 245.44/49.39    (4)  all_25_2 = e12
% 245.44/49.39    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.39           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.39           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.39    (6)  all_25_24 = e10
% 245.44/49.39    (7)  all_25_4 = e13
% 245.44/49.39    (8)   ~ (all_14_12 = e13)
% 245.44/49.39    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.39           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.39           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.39    (10)   ~ (e12 = e11)
% 245.44/49.39    (11)   ~ (e14 = e11)
% 245.44/49.39    (12)  op1(e10, e13) = e13
% 245.44/49.39    (13)   ~ (e13 = e10)
% 245.44/49.39    (14)  op1(e11, e12) = all_14_13
% 245.44/49.39    (15)   ~ (e14 = e13)
% 245.44/49.39    (16)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.39            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.39            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.39    (17)  op1(e13, unit1) = e13
% 245.44/49.39    (18)  all_25_21 = e13
% 245.44/49.39    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.39            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.39    (20)   ~ (e13 = e11)
% 245.44/49.39    (21)  op1(e13, e12) = e10
% 245.44/49.39    (22)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.39              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.39            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.39    (23)   ~ (e11 = e10)
% 245.44/49.39    (24)   ~ (e13 = e12)
% 245.44/49.39    (25)  op1(e13, e13) = e11
% 245.44/49.39    (26)   ~ (all_14_13 = e13)
% 245.44/49.39    (27)   ~ (e12 = e10)
% 245.44/49.39    (28)   ~ (all_14_9 = e12)
% 245.44/49.39    (29)   ~ (all_14_19 = e14)
% 245.44/49.39    (30)   ~ (all_14_14 = e13)
% 245.44/49.39    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.39            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.39            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.39    (32)  all_25_20 = e13
% 245.44/49.39    (33)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.39              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.39            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.39    (34)  op1(e12, e12) = all_14_12
% 245.44/49.39    (35)  op1(e10, unit1) = e10
% 245.44/49.39    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.39    (37)  op1(unit1, e14) = e14
% 245.44/49.39    (38)  op1(e14, e12) = all_14_10
% 245.44/49.39    (39)   ~ (all_14_10 = e12)
% 245.44/49.39    (40)   ~ (all_14_19 = e10)
% 245.44/49.39    (41)  op1(unit1, e12) = e12
% 245.44/49.39    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.39            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.39            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.39    (43)  op1(e10, e11) = all_14_19
% 245.44/49.39    (44)  op1(e10, e12) = all_14_14
% 245.44/49.39    (45)  op1(e13, e14) = e12
% 245.44/49.39    (46)   ~ (e14 = e12)
% 245.44/49.39  
% 245.44/49.39  Begin of proof
% 245.44/49.39  | 
% 245.44/49.39  | BETA: splitting (33) gives:
% 245.44/49.39  | 
% 245.44/49.39  | Case 1:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (47)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 245.44/49.39  | |           op1(e10, e13) = e14)
% 245.44/49.39  | | 
% 245.44/49.39  | | REF_CLOSE: (12), (15), (19), (32), (47) are inconsistent by sub-proof #1031.
% 245.44/49.39  | | 
% 245.44/49.39  | Case 2:
% 245.44/49.39  | | 
% 245.44/49.39  | |   (48)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 245.44/49.39  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.39  | | 
% 245.44/49.39  | | BETA: splitting (48) gives:
% 245.44/49.39  | | 
% 245.44/49.39  | | Case 1:
% 245.44/49.39  | | | 
% 245.44/49.40  | | |   (49)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.44/49.40  | | | 
% 245.44/49.40  | | | ALPHA: (49) implies:
% 245.44/49.40  | | |   (50)  all_25_22 = e14
% 245.44/49.40  | | |   (51)  op1(e10, e12) = e14
% 245.44/49.40  | | | 
% 245.44/49.40  | | | BETA: splitting (22) gives:
% 245.44/49.40  | | | 
% 245.44/49.40  | | | Case 1:
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | |   (52)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 245.44/49.40  | | | |           op1(e10, e13) = e12)
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | REF_CLOSE: (3), (19), (24), (28), (32), (52) are inconsistent by
% 245.44/49.40  | | | |            sub-proof #1264.
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | Case 2:
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | |   (53)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 245.44/49.40  | | | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | BETA: splitting (53) gives:
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | Case 1:
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | |   (54)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | | REF_CLOSE: (46), (50), (54) are inconsistent by sub-proof #1263.
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | Case 2:
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | |   (55)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 245.44/49.40  | | | | |           op1(e10, e10) = e12)
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 245.44/49.40  | | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (23), (24),
% 245.44/49.40  | | | | |            (25), (26), (27), (30), (31), (34), (35), (36), (37), (38),
% 245.44/49.40  | | | | |            (39), (40), (41), (42), (43), (44), (45), (46), (51), (55)
% 245.44/49.40  | | | | |            are inconsistent by sub-proof #1198.
% 245.44/49.40  | | | | | 
% 245.44/49.40  | | | | End of split
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | End of split
% 245.44/49.40  | | | 
% 245.44/49.40  | | Case 2:
% 245.44/49.40  | | | 
% 245.44/49.40  | | |   (56)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 245.44/49.40  | | |           op1(e10, e10) = e14)
% 245.44/49.40  | | | 
% 245.44/49.40  | | | REF_CLOSE: (2), (6), (19), (29), (43), (56) are inconsistent by sub-proof
% 245.44/49.40  | | |            #1207.
% 245.44/49.40  | | | 
% 245.44/49.40  | | End of split
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1031 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  op1(e10, e13) = e13
% 245.44/49.40    (2)   ~ (e14 = e13)
% 245.44/49.40    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (4)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.40             e13) = e14)
% 245.44/49.40    (5)  all_25_20 = e13
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | BETA: splitting (4) gives:
% 245.44/49.40  | 
% 245.44/49.40  | Case 1:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (6)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #1032.
% 245.44/49.40  | | 
% 245.44/49.40  | Case 2:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (7)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | ALPHA: (7) implies:
% 245.44/49.40  | |   (8)  op1(e10, e13) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1274.
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1032 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.44/49.40    (2)  all_25_20 = e13
% 245.44/49.40    (3)   ~ (e14 = e13)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | ALPHA: (1) implies:
% 245.44/49.40  |   (4)  all_25_20 = e14
% 245.44/49.40  | 
% 245.44/49.40  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.40  |   (5)  e14 = e13
% 245.44/49.40  | 
% 245.44/49.40  | SIMP: (5) implies:
% 245.44/49.40  |   (6)  e14 = e13
% 245.44/49.40  | 
% 245.44/49.40  | REDUCE: (3), (6) imply:
% 245.44/49.40  |   (7)  $false
% 245.44/49.40  | 
% 245.44/49.40  | CLOSE: (7) is inconsistent.
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1033 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  all_25_12 = e13 & op1(e11, e14) = e13
% 245.44/49.40    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (3)  op1(e11, e14) = all_14_3
% 245.44/49.40    (4)   ~ (all_14_3 = e13)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | ALPHA: (1) implies:
% 245.44/49.40  |   (5)  op1(e11, e14) = e13
% 245.44/49.40  | 
% 245.44/49.40  | GROUND_INST: instantiating (2) with all_14_3, e13, e14, e11, simplifying with
% 245.44/49.40  |              (3), (5) gives:
% 245.44/49.40  |   (6)  all_14_3 = e13
% 245.44/49.40  | 
% 245.44/49.40  | REDUCE: (4), (6) imply:
% 245.44/49.40  |   (7)  $false
% 245.44/49.40  | 
% 245.44/49.40  | CLOSE: (7) is inconsistent.
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1034 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)   ~ (e14 = e10)
% 245.44/49.40    (2)  all_25_24 = e10
% 245.44/49.40    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (4)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 245.44/49.40             e10) = e14)
% 245.44/49.40    (5)   ~ (all_14_19 = e14)
% 245.44/49.40    (6)  op1(e10, e11) = all_14_19
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | BETA: splitting (4) gives:
% 245.44/49.40  | 
% 245.44/49.40  | Case 1:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (7)  all_25_23 = e14 & op1(e10, e11) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | ALPHA: (7) implies:
% 245.44/49.40  | |   (8)  op1(e10, e11) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1257.
% 245.44/49.40  | | 
% 245.44/49.40  | Case 2:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (9)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1086.
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1035 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.44/49.40    (2)  all_25_23 = e11
% 245.44/49.40    (3)   ~ (e12 = e11)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | ALPHA: (1) implies:
% 245.44/49.40  |   (4)  all_25_23 = e12
% 245.44/49.40  | 
% 245.44/49.40  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.40  |   (5)  e12 = e11
% 245.44/49.40  | 
% 245.44/49.40  | REDUCE: (3), (5) imply:
% 245.44/49.40  |   (6)  $false
% 245.44/49.40  | 
% 245.44/49.40  | CLOSE: (6) is inconsistent.
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1036 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.40             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.40           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (2)   ~ (e14 = e10)
% 245.44/49.40    (3)  op1(e10, e13) = all_14_9
% 245.44/49.40    (4)  all_25_2 = e12
% 245.44/49.40    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.40    (6)  all_25_19 = e12
% 245.44/49.40    (7)  op1(e14, unit1) = e14
% 245.44/49.40    (8)  all_25_24 = e10
% 245.44/49.40    (9)  all_25_4 = e13
% 245.44/49.40    (10)  all_25_20 = e14
% 245.44/49.40    (11)   ~ (all_14_12 = e13)
% 245.44/49.40    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.40            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.40            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.40    (13)   ~ (e12 = e11)
% 245.44/49.40    (14)   ~ (e14 = e11)
% 245.44/49.40    (15)  op1(e10, e13) = e13
% 245.44/49.40    (16)   ~ (e13 = e10)
% 245.44/49.40    (17)  op1(e11, e12) = all_14_13
% 245.44/49.40    (18)   ~ (e14 = e13)
% 245.44/49.40    (19)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.40            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.40            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.40    (20)  op1(e13, unit1) = e13
% 245.44/49.40    (21)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.44/49.40              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.44/49.40            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (22)  all_25_21 = e13
% 245.44/49.40    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (24)   ~ (e13 = e11)
% 245.44/49.40    (25)  op1(e13, e12) = e10
% 245.44/49.40    (26)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.40              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.40            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.40    (27)   ~ (e11 = e10)
% 245.44/49.40    (28)   ~ (e13 = e12)
% 245.44/49.40    (29)  op1(e13, e13) = e11
% 245.44/49.40    (30)   ~ (all_14_13 = e13)
% 245.44/49.40    (31)   ~ (e12 = e10)
% 245.44/49.40    (32)  all_25_18 = e10
% 245.44/49.40    (33)   ~ (all_14_9 = e12)
% 245.44/49.40    (34)   ~ (all_14_19 = e14)
% 245.44/49.40    (35)   ~ (all_14_14 = e13)
% 245.44/49.40    (36)  e14 = e10
% 245.44/49.40    (37)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.40            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.40            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.40    (38)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.40              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.40            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.40    (39)  op1(e12, e12) = all_14_12
% 245.44/49.40    (40)  op1(e10, unit1) = e10
% 245.44/49.40    (41)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.40    (42)  op1(unit1, e14) = e14
% 245.44/49.40    (43)  op1(e14, e12) = all_14_10
% 245.44/49.40    (44)   ~ (all_14_10 = e12)
% 245.44/49.40    (45)   ~ (all_14_19 = e10)
% 245.44/49.40    (46)  op1(unit1, e12) = e12
% 245.44/49.40    (47)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.40            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.40            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.40    (48)  op1(e10, e11) = all_14_19
% 245.44/49.40    (49)  op1(e10, e12) = all_14_14
% 245.44/49.40    (50)   ~ (e14 = e12)
% 245.44/49.40    (51)  all_25_17 = e13
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | SIMP: (36) implies:
% 245.44/49.40  |   (52)  e14 = e10
% 245.44/49.40  | 
% 245.44/49.40  | COMBINE_EQS: (10), (52) imply:
% 245.44/49.40  |   (53)  all_25_20 = e10
% 245.44/49.40  | 
% 245.44/49.40  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.44/49.40  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.44/49.40  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 245.44/49.40  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.44/49.40  |            (48), (49), (50), (51), (53) are inconsistent by sub-proof #1037.
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1037 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.40             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.40           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (2)   ~ (e14 = e10)
% 245.44/49.40    (3)  op1(e10, e13) = all_14_9
% 245.44/49.40    (4)  all_25_2 = e12
% 245.44/49.40    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.40    (6)  all_25_19 = e12
% 245.44/49.40    (7)  op1(e14, unit1) = e14
% 245.44/49.40    (8)  all_25_24 = e10
% 245.44/49.40    (9)  all_25_4 = e13
% 245.44/49.40    (10)   ~ (all_14_12 = e13)
% 245.44/49.40    (11)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.40            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.40            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.40    (12)   ~ (e12 = e11)
% 245.44/49.40    (13)   ~ (e14 = e11)
% 245.44/49.40    (14)  op1(e10, e13) = e13
% 245.44/49.40    (15)   ~ (e13 = e10)
% 245.44/49.40    (16)  op1(e11, e12) = all_14_13
% 245.44/49.40    (17)   ~ (e14 = e13)
% 245.44/49.40    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.40            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.40            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.40    (19)  op1(e13, unit1) = e13
% 245.44/49.40    (20)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.44/49.40              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.44/49.40            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (21)  all_25_21 = e13
% 245.44/49.40    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (23)   ~ (e13 = e11)
% 245.44/49.40    (24)  all_25_20 = e10
% 245.44/49.40    (25)  op1(e13, e12) = e10
% 245.44/49.40    (26)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.40              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.40            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.40    (27)   ~ (e11 = e10)
% 245.44/49.40    (28)   ~ (e13 = e12)
% 245.44/49.40    (29)  op1(e13, e13) = e11
% 245.44/49.40    (30)   ~ (all_14_13 = e13)
% 245.44/49.40    (31)   ~ (e12 = e10)
% 245.44/49.40    (32)  all_25_18 = e10
% 245.44/49.40    (33)   ~ (all_14_9 = e12)
% 245.44/49.40    (34)   ~ (all_14_19 = e14)
% 245.44/49.40    (35)   ~ (all_14_14 = e13)
% 245.44/49.40    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.40            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.40            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.40    (37)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.40              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.40            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.40    (38)  op1(e12, e12) = all_14_12
% 245.44/49.40    (39)  op1(e10, unit1) = e10
% 245.44/49.40    (40)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.40    (41)  op1(unit1, e14) = e14
% 245.44/49.40    (42)  op1(e14, e12) = all_14_10
% 245.44/49.40    (43)   ~ (all_14_10 = e12)
% 245.44/49.40    (44)   ~ (all_14_19 = e10)
% 245.44/49.40    (45)  op1(unit1, e12) = e12
% 245.44/49.40    (46)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.40            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.40            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.40    (47)  op1(e10, e11) = all_14_19
% 245.44/49.40    (48)  op1(e10, e12) = all_14_14
% 245.44/49.40    (49)   ~ (e14 = e12)
% 245.44/49.40    (50)  all_25_17 = e13
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | BETA: splitting (20) gives:
% 245.44/49.40  | 
% 245.44/49.40  | Case 1:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (51)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 245.44/49.40  | |           op1(e13, e10) = e11)
% 245.44/49.40  | | 
% 245.44/49.40  | | BETA: splitting (51) gives:
% 245.44/49.40  | | 
% 245.44/49.40  | | Case 1:
% 245.44/49.40  | | | 
% 245.44/49.40  | | |   (52)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.44/49.40  | | | 
% 245.44/49.40  | | | ALPHA: (52) implies:
% 245.44/49.40  | | |   (53)  op1(e14, e10) = e11
% 245.44/49.40  | | | 
% 245.44/49.40  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.44/49.40  | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 245.44/49.40  | | |            (25), (26), (27), (28), (29), (30), (31), (33), (34), (35),
% 245.44/49.40  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 245.44/49.40  | | |            (46), (47), (48), (49), (53) are inconsistent by sub-proof
% 245.44/49.40  | | |            #1038.
% 245.44/49.40  | | | 
% 245.44/49.40  | | Case 2:
% 245.44/49.40  | | | 
% 245.44/49.40  | | |   (54)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.44/49.40  | | | 
% 245.44/49.40  | | | REF_CLOSE: (9), (10), (15), (16), (18), (22), (23), (25), (30), (35),
% 245.44/49.40  | | |            (38), (48), (50), (54) are inconsistent by sub-proof #1155.
% 245.44/49.40  | | | 
% 245.44/49.40  | | End of split
% 245.44/49.40  | | 
% 245.44/49.40  | Case 2:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (55)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 245.44/49.40  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (6), (8), (12), (27), (32), (55) are inconsistent by sub-proof
% 245.44/49.40  | |            #1065.
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1038 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.40             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.40           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (2)   ~ (e14 = e10)
% 245.44/49.40    (3)  op1(e10, e13) = all_14_9
% 245.44/49.40    (4)  all_25_2 = e12
% 245.44/49.40    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.40    (6)  op1(e14, unit1) = e14
% 245.44/49.40    (7)  all_25_24 = e10
% 245.44/49.40    (8)  all_25_4 = e13
% 245.44/49.40    (9)   ~ (all_14_12 = e13)
% 245.44/49.40    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.40            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.40            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.40    (11)  op1(e14, e10) = e11
% 245.44/49.40    (12)   ~ (e12 = e11)
% 245.44/49.40    (13)   ~ (e14 = e11)
% 245.44/49.40    (14)  op1(e10, e13) = e13
% 245.44/49.40    (15)   ~ (e13 = e10)
% 245.44/49.40    (16)  op1(e11, e12) = all_14_13
% 245.44/49.40    (17)   ~ (e14 = e13)
% 245.44/49.40    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.40            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.40            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.40    (19)  op1(e13, unit1) = e13
% 245.44/49.40    (20)  all_25_21 = e13
% 245.44/49.40    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (22)   ~ (e13 = e11)
% 245.44/49.40    (23)  all_25_20 = e10
% 245.44/49.40    (24)  op1(e13, e12) = e10
% 245.44/49.40    (25)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.40              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.40            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.40    (26)   ~ (e11 = e10)
% 245.44/49.40    (27)   ~ (e13 = e12)
% 245.44/49.40    (28)  op1(e13, e13) = e11
% 245.44/49.40    (29)   ~ (all_14_13 = e13)
% 245.44/49.40    (30)   ~ (e12 = e10)
% 245.44/49.40    (31)   ~ (all_14_9 = e12)
% 245.44/49.40    (32)   ~ (all_14_19 = e14)
% 245.44/49.40    (33)   ~ (all_14_14 = e13)
% 245.44/49.40    (34)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.40            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.40            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.40    (35)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.40              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.40            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.40    (36)  op1(e12, e12) = all_14_12
% 245.44/49.40    (37)  op1(e10, unit1) = e10
% 245.44/49.40    (38)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.40    (39)  op1(unit1, e14) = e14
% 245.44/49.40    (40)  op1(e14, e12) = all_14_10
% 245.44/49.40    (41)   ~ (all_14_10 = e12)
% 245.44/49.40    (42)   ~ (all_14_19 = e10)
% 245.44/49.40    (43)  op1(unit1, e12) = e12
% 245.44/49.40    (44)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.40            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.40            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.40    (45)  op1(e10, e11) = all_14_19
% 245.44/49.40    (46)  op1(e10, e12) = all_14_14
% 245.44/49.40    (47)   ~ (e14 = e12)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | BETA: splitting (25) gives:
% 245.44/49.40  | 
% 245.44/49.40  | Case 1:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (48)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 245.44/49.40  | |           op1(e10, e13) = e12)
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (3), (6), (11), (12), (15), (19), (21), (24), (31), (37), (38),
% 245.44/49.40  | |            (39), (40), (41), (42), (43), (45), (48) are inconsistent by
% 245.44/49.40  | |            sub-proof #1039.
% 245.44/49.40  | | 
% 245.44/49.40  | Case 2:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (49)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 245.44/49.40  | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.40  | | 
% 245.44/49.40  | | BETA: splitting (49) gives:
% 245.44/49.40  | | 
% 245.44/49.40  | | Case 1:
% 245.44/49.40  | | | 
% 245.44/49.40  | | |   (50)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.44/49.40  | | | 
% 245.44/49.40  | | | ALPHA: (50) implies:
% 245.44/49.40  | | |   (51)  all_25_22 = e12
% 245.44/49.40  | | | 
% 245.44/49.40  | | | REF_CLOSE: (2), (7), (14), (17), (21), (23), (32), (35), (45), (47), (51)
% 245.44/49.40  | | |            are inconsistent by sub-proof #1205.
% 245.44/49.40  | | | 
% 245.44/49.40  | | Case 2:
% 245.44/49.40  | | | 
% 245.44/49.40  | | |   (52)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 245.44/49.40  | | |           op1(e10, e10) = e12)
% 245.44/49.40  | | | 
% 245.44/49.40  | | | BETA: splitting (52) gives:
% 245.44/49.40  | | | 
% 245.44/49.40  | | | Case 1:
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | |   (53)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | ALPHA: (53) implies:
% 245.44/49.40  | | | |   (54)  all_25_23 = e12
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | REF_CLOSE: (1), (7), (8), (9), (12), (15), (16), (18), (19), (20), (21),
% 245.44/49.40  | | | |            (22), (23), (24), (26), (29), (33), (36), (37), (38), (40),
% 245.44/49.40  | | | |            (41), (42), (43), (45), (46), (54) are inconsistent by
% 245.44/49.40  | | | |            sub-proof #1121.
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | Case 2:
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | |   (55)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | | REF_CLOSE: (2), (4), (5), (7), (10), (12), (13), (15), (17), (21), (22),
% 245.44/49.40  | | | |            (24), (26), (27), (28), (30), (34), (44), (47), (55) are
% 245.44/49.40  | | | |            inconsistent by sub-proof #1261.
% 245.44/49.40  | | | | 
% 245.44/49.40  | | | End of split
% 245.44/49.40  | | | 
% 245.44/49.40  | | End of split
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1039 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  op1(e10, e13) = all_14_9
% 245.44/49.40    (2)  op1(e14, unit1) = e14
% 245.44/49.40    (3)  op1(e14, e10) = e11
% 245.44/49.40    (4)   ~ (e12 = e11)
% 245.44/49.40    (5)   ~ (e13 = e10)
% 245.44/49.40    (6)  op1(e13, unit1) = e13
% 245.44/49.40    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.40           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.40    (8)  op1(e13, e12) = e10
% 245.44/49.40    (9)   ~ (all_14_9 = e12)
% 245.44/49.40    (10)  op1(e10, unit1) = e10
% 245.44/49.40    (11)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.40    (12)  op1(unit1, e14) = e14
% 245.44/49.40    (13)  op1(e14, e12) = all_14_10
% 245.44/49.40    (14)   ~ (all_14_10 = e12)
% 245.44/49.40    (15)   ~ (all_14_19 = e10)
% 245.44/49.40    (16)  op1(unit1, e12) = e12
% 245.44/49.40    (17)  op1(e10, e11) = all_14_19
% 245.44/49.40    (18)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.40              e13) = e12)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | BETA: splitting (18) gives:
% 245.44/49.40  | 
% 245.44/49.40  | Case 1:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (19)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.44/49.40  | | 
% 245.44/49.40  | | ALPHA: (19) implies:
% 245.44/49.40  | |   (20)  op1(e10, e14) = e12
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 245.44/49.40  | |            (15), (16), (17), (20) are inconsistent by sub-proof #1156.
% 245.44/49.40  | | 
% 245.44/49.40  | Case 2:
% 245.44/49.40  | | 
% 245.44/49.40  | |   (21)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.44/49.40  | | 
% 245.44/49.40  | | REF_CLOSE: (1), (7), (9), (21) are inconsistent by sub-proof #1265.
% 245.44/49.40  | | 
% 245.44/49.40  | End of split
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1040 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.44/49.40    (2)  all_25_16 = e14
% 245.44/49.40    (3)   ~ (e14 = e11)
% 245.44/49.40  
% 245.44/49.40  Begin of proof
% 245.44/49.40  | 
% 245.44/49.40  | ALPHA: (1) implies:
% 245.44/49.40  |   (4)  all_25_16 = e11
% 245.44/49.40  | 
% 245.44/49.40  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.40  |   (5)  e14 = e11
% 245.44/49.40  | 
% 245.44/49.40  | REDUCE: (3), (5) imply:
% 245.44/49.40  |   (6)  $false
% 245.44/49.40  | 
% 245.44/49.40  | CLOSE: (6) is inconsistent.
% 245.44/49.40  | 
% 245.44/49.40  End of proof
% 245.44/49.40  
% 245.44/49.40  Sub-proof #1041 shows that the following formulas are inconsistent:
% 245.44/49.40  ----------------------------------------------------------------
% 245.44/49.40    (1)  all_25_9 = e10
% 245.44/49.40    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.40             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.40           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.40    (3)   ~ (e14 = e10)
% 245.44/49.40    (4)  op1(e10, e13) = all_14_9
% 245.44/49.40    (5)  all_25_2 = e12
% 245.44/49.40    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.40           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.40           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.40    (7)  all_25_19 = e12
% 245.44/49.40    (8)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.44/49.40           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.40             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.44/49.40           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 245.44/49.40           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 245.44/49.40           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 245.44/49.40           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 245.44/49.40           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 245.44/49.40             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 245.44/49.40           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 245.44/49.40           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 245.44/49.40             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 245.44/49.40           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.40           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 245.44/49.40           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.40           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 245.44/49.40           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 245.44/49.40           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.40           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 245.44/49.40           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 245.44/49.40           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 245.44/49.40           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 245.44/49.40           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.40             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 245.44/49.40           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 245.44/49.40             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 245.44/49.40           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 245.44/49.40           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 245.44/49.40           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 245.44/49.40           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.40             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 245.44/49.40           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 245.44/49.40             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 245.44/49.40           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 245.44/49.40             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.40         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.40           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.40             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 245.44/49.40           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 245.44/49.40             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 245.44/49.40           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 245.44/49.40           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 245.44/49.40           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 245.44/49.40           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.40             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 245.44/49.40           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 245.44/49.40             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 245.44/49.40           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 245.44/49.40             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.40         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.40           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.40             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 245.44/49.40           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 245.44/49.40             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 245.44/49.40           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 245.44/49.40           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 245.44/49.40           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.40           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.40             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 245.44/49.40           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 245.44/49.40             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 245.44/49.40           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 245.44/49.40             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.40         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 245.44/49.40           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.40             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 245.44/49.40           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 245.44/49.40             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 245.44/49.40           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 245.44/49.40             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.40    (9)  all_25_1 = e12
% 245.44/49.40    (10)  all_25_24 = e10
% 245.44/49.40    (11)  all_25_22 = e12
% 245.44/49.40    (12)  op1(e10, e12) = e12
% 245.44/49.40    (13)  all_25_4 = e13
% 245.44/49.40    (14)  all_25_20 = e14
% 245.44/49.40    (15)  op1(e10, e11) = e11
% 245.44/49.40    (16)   ~ (all_14_12 = e13)
% 245.44/49.41    (17)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.44/49.41              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.44/49.41            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.44/49.41    (18)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.41            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.41            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.41    (19)   ~ (e12 = e11)
% 245.44/49.41    (20)   ~ (e14 = e11)
% 245.44/49.41    (21)  all_25_3 = e11
% 245.44/49.41    (22)  op1(e10, e13) = e13
% 245.44/49.41    (23)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.44/49.41            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.44/49.41            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.41    (24)   ~ (e13 = e10)
% 245.44/49.41    (25)  op1(e10, e14) = e14
% 245.44/49.41    (26)  op1(e11, e12) = all_14_13
% 245.44/49.41    (27)   ~ (e14 = e13)
% 245.44/49.41    (28)  all_25_11 = e12
% 245.44/49.41    (29)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.41            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.41            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.41    (30)  op1(e14, e11) = all_14_15
% 245.44/49.41    (31)  op1(e13, unit1) = e13
% 245.44/49.41    (32)  op1(e11, e10) = e12
% 245.44/49.41    (33)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.44/49.41            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.44/49.41            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.44/49.41    (34)  op1(e13, e11) = e14
% 245.44/49.41    (35)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.44/49.41              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.44/49.41            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.44/49.41    (36)  all_25_21 = e13
% 245.44/49.41    (37)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.44/49.41              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.44/49.41            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.41    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.41    (39)  all_25_15 = e13
% 245.44/49.41    (40)   ~ (e13 = e11)
% 245.44/49.41    (41)  op1(e13, e12) = e10
% 245.44/49.41    (42)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.44/49.41              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.44/49.41            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.44/49.41    (43)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.41              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.41            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.41    (44)   ~ (all_14_18 = e14)
% 245.44/49.41    (45)  op1(e12, unit1) = e12
% 245.44/49.41    (46)  op1(e12, e11) = e12
% 245.44/49.41    (47)   ~ (e11 = e10)
% 245.44/49.41    (48)   ~ (all_14_13 = e10)
% 245.44/49.41    (49)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.44/49.41            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.44/49.41            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.44/49.41    (50)   ~ (e13 = e12)
% 245.44/49.41    (51)  op1(e13, e13) = e11
% 245.44/49.41    (52)  op1(e14, e11) = e10
% 245.44/49.41    (53)   ~ (all_14_13 = e13)
% 245.44/49.41    (54)   ~ (e12 = e10)
% 245.44/49.41    (55)   ~ (all_14_9 = e12)
% 245.44/49.41    (56)   ~ (all_14_19 = e14)
% 245.44/49.41    (57)  all_25_6 = e13
% 245.44/49.41    (58)   ~ (all_14_14 = e13)
% 245.44/49.41    (59)  op1(e14, e12) = e13
% 245.44/49.41    (60)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.44/49.41            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.44/49.41            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.44/49.41    (61)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.41            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.41            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.41    (62)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.41              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.41            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.41    (63)   ~ (all_14_15 = e14)
% 245.44/49.41    (64)   ~ (all_14_19 = e13)
% 245.44/49.41    (65)  op1(e12, e14) = e13
% 245.44/49.41    (66)  op1(e12, e12) = all_14_12
% 245.44/49.41    (67)  all_25_8 = e10
% 245.44/49.41    (68)  op1(e13, e10) = e13
% 245.44/49.41    (69)  op1(e10, unit1) = e10
% 245.44/49.41    (70)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.41    (71)  op1(unit1, e14) = e14
% 245.44/49.41    (72)  op1(e14, e12) = all_14_10
% 245.44/49.41    (73)  op1(e11, e11) = e13
% 245.44/49.41    (74)   ~ (all_14_10 = e12)
% 245.44/49.41    (75)  op1(e11, e11) = all_14_18
% 245.44/49.41    (76)   ~ (all_14_19 = e10)
% 245.44/49.41    (77)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.44/49.41            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.44/49.41            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.44/49.41    (78)  op1(unit1, e12) = e12
% 245.44/49.41    (79)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.44/49.41              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.44/49.41            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.44/49.41    (80)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.41    (81)  op1(e10, e11) = all_14_19
% 245.44/49.41    (82)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.41            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.41            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.41    (83)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.44/49.41            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.44/49.41            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.44/49.41    (84)  op1(e10, e12) = all_14_14
% 245.44/49.41    (85)  op1(e13, e14) = e12
% 245.44/49.41    (86)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.44/49.41            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.44/49.41            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.41    (87)   ~ (e14 = e12)
% 245.44/49.41    (88)  op1(e14, e13) = e12
% 245.44/49.41    (89)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 245.44/49.41            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 &
% 245.44/49.41            op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.44/49.41    (90)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.44/49.41            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.44/49.41            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.41    (91)  all_25_17 = e13
% 245.44/49.41  
% 245.44/49.41  Begin of proof
% 245.44/49.41  | 
% 245.44/49.41  | BETA: splitting (89) gives:
% 245.44/49.41  | 
% 245.44/49.41  | Case 1:
% 245.44/49.41  | | 
% 245.44/49.41  | |   (92)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13,
% 245.44/49.41  | |             e12) = e11)
% 245.44/49.41  | | 
% 245.44/49.41  | | REF_CLOSE: (16), (24), (26), (29), (38), (40), (41), (47), (53), (58), (66),
% 245.44/49.41  | |            (84), (92) are inconsistent by sub-proof #1080.
% 245.44/49.41  | | 
% 245.44/49.41  | Case 2:
% 245.44/49.41  | | 
% 245.44/49.41  | |   (93)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_14 = e11 & op1(e11,
% 245.44/49.41  | |             e12) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11)
% 245.44/49.41  | | 
% 245.44/49.41  | | BETA: splitting (93) gives:
% 245.44/49.41  | | 
% 245.44/49.41  | | Case 1:
% 245.44/49.41  | | | 
% 245.44/49.41  | | |   (94)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.44/49.41  | | | 
% 245.44/49.41  | | | REF_CLOSE: (47), (67), (94) are inconsistent by sub-proof #1150.
% 245.44/49.41  | | | 
% 245.44/49.41  | | Case 2:
% 245.44/49.41  | | | 
% 245.44/49.41  | | |   (95)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 &
% 245.44/49.41  | | |           op1(e10, e12) = e11)
% 245.44/49.41  | | | 
% 245.44/49.41  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.44/49.41  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 245.44/49.41  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 245.44/49.41  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 245.44/49.41  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 245.44/49.41  | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 245.44/49.41  | | |            (63), (64), (65), (66), (68), (69), (70), (71), (72), (73),
% 245.44/49.41  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 245.44/49.41  | | |            (84), (85), (86), (87), (88), (90), (91), (95) are inconsistent
% 245.44/49.41  | | |            by sub-proof #1042.
% 245.44/49.41  | | | 
% 245.44/49.41  | | End of split
% 245.44/49.41  | | 
% 245.44/49.41  | End of split
% 245.44/49.41  | 
% 245.44/49.41  End of proof
% 245.44/49.41  
% 245.44/49.41  Sub-proof #1042 shows that the following formulas are inconsistent:
% 245.44/49.41  ----------------------------------------------------------------
% 245.44/49.41    (1)  all_25_9 = e10
% 245.44/49.41    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.41             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.41           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.41    (3)   ~ (e14 = e10)
% 245.44/49.41    (4)  op1(e10, e13) = all_14_9
% 245.44/49.41    (5)  all_25_2 = e12
% 245.44/49.41    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.41           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.41           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.41    (7)  all_25_19 = e12
% 245.44/49.41    (8)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.44/49.41           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.41             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.44/49.41           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 245.44/49.41           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 245.44/49.41           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 245.44/49.41           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 245.44/49.41           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 245.44/49.41             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 245.44/49.41           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 245.44/49.41           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 245.44/49.41             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 245.44/49.41           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.41           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 245.44/49.41           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.41           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 245.44/49.41           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 245.44/49.41           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.41           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 245.44/49.41           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 245.44/49.41           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 245.44/49.41           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 245.44/49.41           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.41             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 245.44/49.41           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 245.44/49.41             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 245.44/49.41           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 245.44/49.41           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 245.44/49.41           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 245.44/49.41           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.41             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 245.44/49.41           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 245.44/49.41             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 245.44/49.41           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 245.44/49.41             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.41         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.41           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.41             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 245.44/49.41           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 245.44/49.41             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 245.44/49.41           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 245.44/49.41           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 245.44/49.41           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 245.44/49.41           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.41             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 245.44/49.41           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 245.44/49.41             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 245.44/49.41           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 245.44/49.41             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.41         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.41           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.41             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 245.44/49.41           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 245.44/49.41             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 245.44/49.41           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 245.44/49.41           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 245.44/49.41           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.41           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.41             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 245.44/49.41           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 245.44/49.41             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 245.44/49.41           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 245.44/49.41             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.41         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 245.44/49.41           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.41             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 245.44/49.41           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 245.44/49.41             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 245.44/49.41           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 245.44/49.41             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.41    (9)  all_25_1 = e12
% 245.44/49.41    (10)  all_25_24 = e10
% 245.44/49.41    (11)  all_25_22 = e12
% 245.44/49.41    (12)  op1(e10, e12) = e12
% 245.44/49.41    (13)  all_25_4 = e13
% 245.44/49.41    (14)  all_25_20 = e14
% 245.44/49.41    (15)  op1(e10, e11) = e11
% 245.44/49.41    (16)   ~ (all_14_12 = e13)
% 245.44/49.41    (17)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.44/49.41              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.44/49.41            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.44/49.41    (18)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.41            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.41            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.41    (19)   ~ (e12 = e11)
% 245.44/49.41    (20)   ~ (e14 = e11)
% 245.44/49.41    (21)  all_25_3 = e11
% 245.44/49.41    (22)  op1(e10, e13) = e13
% 245.44/49.41    (23)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.44/49.41            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.44/49.41            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.41    (24)   ~ (e13 = e10)
% 245.44/49.41    (25)  op1(e10, e14) = e14
% 245.44/49.41    (26)  op1(e11, e12) = all_14_13
% 245.44/49.41    (27)   ~ (e14 = e13)
% 245.44/49.41    (28)  all_25_11 = e12
% 245.44/49.41    (29)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.41            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.41            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.41    (30)  op1(e14, e11) = all_14_15
% 245.44/49.41    (31)  op1(e13, unit1) = e13
% 245.44/49.41    (32)  op1(e11, e10) = e12
% 245.44/49.41    (33)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.44/49.41            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.44/49.41            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.44/49.41    (34)  op1(e13, e11) = e14
% 245.44/49.41    (35)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.44/49.41              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.44/49.41            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.44/49.41    (36)  all_25_21 = e13
% 245.44/49.41    (37)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.44/49.41              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.44/49.41            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.41    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.41    (39)  all_25_15 = e13
% 245.44/49.41    (40)   ~ (e13 = e11)
% 245.44/49.41    (41)  op1(e13, e12) = e10
% 245.44/49.41    (42)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.44/49.41              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.44/49.41            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.44/49.41    (43)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.41              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.41            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.41    (44)   ~ (all_14_18 = e14)
% 245.44/49.41    (45)  op1(e12, unit1) = e12
% 245.44/49.41    (46)  op1(e12, e11) = e12
% 245.44/49.41    (47)   ~ (e11 = e10)
% 245.44/49.41    (48)   ~ (all_14_13 = e10)
% 245.44/49.41    (49)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.44/49.41            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.44/49.41            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.44/49.41    (50)   ~ (e13 = e12)
% 245.44/49.41    (51)  op1(e13, e13) = e11
% 245.44/49.41    (52)  op1(e14, e11) = e10
% 245.44/49.41    (53)   ~ (all_14_13 = e13)
% 245.44/49.41    (54)   ~ (e12 = e10)
% 245.44/49.41    (55)   ~ (all_14_9 = e12)
% 245.44/49.41    (56)   ~ (all_14_19 = e14)
% 245.44/49.41    (57)  all_25_6 = e13
% 245.44/49.41    (58)   ~ (all_14_14 = e13)
% 245.44/49.41    (59)  op1(e14, e12) = e13
% 245.44/49.41    (60)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.44/49.41            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.44/49.41            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.44/49.41    (61)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.41            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.41            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.41    (62)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.41              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.41            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.41    (63)   ~ (all_14_15 = e14)
% 245.44/49.41    (64)   ~ (all_14_19 = e13)
% 245.44/49.41    (65)  op1(e12, e14) = e13
% 245.44/49.41    (66)  op1(e12, e12) = all_14_12
% 245.44/49.41    (67)  op1(e13, e10) = e13
% 245.44/49.41    (68)  op1(e10, unit1) = e10
% 245.44/49.41    (69)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.41    (70)  op1(unit1, e14) = e14
% 245.44/49.41    (71)  op1(e14, e12) = all_14_10
% 245.44/49.41    (72)  op1(e11, e11) = e13
% 245.44/49.41    (73)   ~ (all_14_10 = e12)
% 245.44/49.41    (74)  op1(e11, e11) = all_14_18
% 245.44/49.41    (75)   ~ (all_14_19 = e10)
% 245.44/49.41    (76)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.44/49.41            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.44/49.41            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.44/49.41    (77)  op1(unit1, e12) = e12
% 245.44/49.41    (78)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.44/49.41              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.44/49.41            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.44/49.41    (79)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.41    (80)  op1(e10, e11) = all_14_19
% 245.44/49.41    (81)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.41            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.41            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.41    (82)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.44/49.41            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.44/49.41            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.44/49.41    (83)  op1(e10, e12) = all_14_14
% 245.44/49.41    (84)  op1(e13, e14) = e12
% 245.44/49.41    (85)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.44/49.41            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.44/49.41            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.41    (86)   ~ (e14 = e12)
% 245.44/49.41    (87)  op1(e14, e13) = e12
% 245.44/49.41    (88)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.44/49.41            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.44/49.41            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.41    (89)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_22 = e11 & op1(e10,
% 245.44/49.41              e12) = e11)
% 245.44/49.41    (90)  all_25_17 = e13
% 245.44/49.41  
% 245.44/49.41  Begin of proof
% 245.44/49.41  | 
% 245.44/49.41  | BETA: splitting (89) gives:
% 245.44/49.41  | 
% 245.44/49.41  | Case 1:
% 245.44/49.41  | | 
% 245.44/49.41  | |   (91)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.44/49.41  | | 
% 245.44/49.41  | | ALPHA: (91) implies:
% 245.44/49.41  | |   (92)  all_25_14 = e11
% 245.44/49.41  | | 
% 245.44/49.41  | | BETA: splitting (76) gives:
% 245.44/49.41  | | 
% 245.44/49.41  | | Case 1:
% 245.44/49.41  | | | 
% 245.44/49.41  | | |   (93)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 &
% 245.44/49.41  | | |           op1(e13, e13) = e10)
% 245.44/49.41  | | | 
% 245.44/49.41  | | | REF_CLOSE: (3), (5), (6), (9), (18), (19), (20), (24), (27), (38), (40),
% 245.44/49.41  | | |            (41), (47), (50), (51), (54), (61), (79), (86), (93) are
% 245.44/49.41  | | |            inconsistent by sub-proof #1279.
% 245.44/49.41  | | | 
% 245.44/49.41  | | Case 2:
% 245.44/49.41  | | | 
% 245.44/49.41  | | |   (94)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.44/49.41  | | |           op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.44/49.41  | | | 
% 245.44/49.41  | | | BETA: splitting (94) gives:
% 245.44/49.41  | | | 
% 245.44/49.41  | | | Case 1:
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | |   (95)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | | ALPHA: (95) implies:
% 245.44/49.41  | | | |   (96)  all_25_7 = e10
% 245.44/49.41  | | | |   (97)  op1(e12, e13) = e10
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.44/49.41  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 245.44/49.41  | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 245.44/49.41  | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 245.44/49.41  | | | |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 245.44/49.41  | | | |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 245.44/49.41  | | | |            (62), (63), (64), (65), (66), (67), (68), (69), (70), (71),
% 245.44/49.41  | | | |            (72), (73), (74), (75), (77), (78), (79), (80), (81), (82),
% 245.44/49.41  | | | |            (83), (84), (85), (86), (87), (88), (90), (96), (97) are
% 245.44/49.41  | | | |            inconsistent by sub-proof #1044.
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | Case 2:
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | |   (98)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.44/49.41  | | | |           op1(e10, e13) = e10)
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | | BETA: splitting (98) gives:
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | | Case 1:
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | |   (99)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | | ALPHA: (99) implies:
% 245.44/49.41  | | | | |   (100)  all_25_13 = e10
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | | BETA: splitting (33) gives:
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | | Case 1:
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | |   (101)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 &
% 245.44/49.41  | | | | | |            op1(e13, e14) = e10)
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | | REF_CLOSE: (1), (3), (6), (9), (13), (18), (19), (20), (23), (24),
% 245.44/49.41  | | | | | |            (27), (30), (38), (40), (41), (47), (50), (51), (54),
% 245.44/49.41  | | | | | |            (61), (63), (79), (85), (86), (101) are inconsistent by
% 245.44/49.41  | | | | | |            sub-proof #1217.
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | Case 2:
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | |   (102)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.44/49.41  | | | | | |            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) =
% 245.44/49.41  | | | | | |            e10)
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | | BETA: splitting (102) gives:
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | | Case 1:
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | |   (103)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | | ALPHA: (103) implies:
% 245.44/49.41  | | | | | | |   (104)  all_25_6 = e10
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | | COMBINE_EQS: (57), (104) imply:
% 245.44/49.41  | | | | | | |   (105)  e13 = e10
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | | REF_CLOSE: (3), (5), (6), (13), (16), (20), (21), (24), (26),
% 245.44/49.41  | | | | | | |            (27), (29), (38), (40), (41), (50), (51), (53), (58),
% 245.44/49.41  | | | | | | |            (66), (79), (83), (86), (90), (105) are inconsistent by
% 245.44/49.41  | | | | | | |            sub-proof #1043.
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | Case 2:
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | |   (106)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 =
% 245.44/49.41  | | | | | | |            e10 & op1(e10, e14) = e10)
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | | BETA: splitting (106) gives:
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | | Case 1:
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | |   (107)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | | ALPHA: (107) implies:
% 245.44/49.41  | | | | | | | |   (108)  all_25_12 = e10
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | | REF_CLOSE: (3), (7), (17), (20), (38), (44), (74), (86), (92),
% 245.44/49.41  | | | | | | | |            (100), (108) are inconsistent by sub-proof #1074.
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | Case 2:
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | |   (109)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | | ALPHA: (109) implies:
% 245.44/49.41  | | | | | | | |   (110)  all_25_20 = e10
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | | REF_CLOSE: (3), (10), (11), (22), (27), (38), (56), (62), (80),
% 245.44/49.41  | | | | | | | |            (86), (110) are inconsistent by sub-proof #1205.
% 245.44/49.41  | | | | | | | | 
% 245.44/49.41  | | | | | | | End of split
% 245.44/49.41  | | | | | | | 
% 245.44/49.41  | | | | | | End of split
% 245.44/49.41  | | | | | | 
% 245.44/49.41  | | | | | End of split
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | Case 2:
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | |   (111)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | | REF_CLOSE: (3), (5), (6), (13), (16), (20), (21), (24), (26), (27),
% 245.44/49.41  | | | | |            (29), (36), (38), (40), (41), (50), (51), (53), (58), (66),
% 245.44/49.41  | | | | |            (79), (83), (86), (90), (111) are inconsistent by sub-proof
% 245.44/49.41  | | | | |            #1192.
% 245.44/49.41  | | | | | 
% 245.44/49.41  | | | | End of split
% 245.44/49.41  | | | | 
% 245.44/49.41  | | | End of split
% 245.44/49.41  | | | 
% 245.44/49.41  | | End of split
% 245.44/49.41  | | 
% 245.44/49.41  | Case 2:
% 245.44/49.41  | | 
% 245.44/49.41  | |   (112)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.44/49.41  | | 
% 245.44/49.41  | | REF_CLOSE: (19), (24), (31), (38), (41), (68), (69), (71), (73), (75), (77),
% 245.44/49.41  | |            (80), (112) are inconsistent by sub-proof #1266.
% 245.44/49.41  | | 
% 245.44/49.41  | End of split
% 245.44/49.41  | 
% 245.44/49.41  End of proof
% 245.44/49.41  
% 245.44/49.41  Sub-proof #1043 shows that the following formulas are inconsistent:
% 245.44/49.41  ----------------------------------------------------------------
% 245.44/49.41    (1)   ~ (e14 = e10)
% 245.44/49.41    (2)  all_25_2 = e12
% 245.44/49.41    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.41           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.41           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.41    (4)  all_25_4 = e13
% 245.44/49.41    (5)   ~ (all_14_12 = e13)
% 245.44/49.41    (6)   ~ (e14 = e11)
% 245.44/49.41    (7)  all_25_3 = e11
% 245.44/49.41    (8)   ~ (e13 = e10)
% 245.44/49.41    (9)  op1(e11, e12) = all_14_13
% 245.44/49.41    (10)   ~ (e14 = e13)
% 245.44/49.41    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.41            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.41            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.41    (12)  e13 = e10
% 245.44/49.41    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.41            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.41    (14)   ~ (e13 = e11)
% 245.44/49.41    (15)  op1(e13, e12) = e10
% 245.44/49.41    (16)   ~ (e13 = e12)
% 245.44/49.41    (17)  op1(e13, e13) = e11
% 245.44/49.41    (18)   ~ (all_14_13 = e13)
% 245.44/49.41    (19)   ~ (all_14_14 = e13)
% 245.44/49.41    (20)  op1(e12, e12) = all_14_12
% 245.44/49.41    (21)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.41            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.41            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.41    (22)  op1(e10, e12) = all_14_14
% 245.44/49.41    (23)   ~ (e14 = e12)
% 245.44/49.41    (24)  all_25_17 = e13
% 245.44/49.41  
% 245.44/49.41  Begin of proof
% 245.44/49.41  | 
% 245.44/49.41  | SIMP: (12) implies:
% 245.44/49.41  |   (25)  e13 = e10
% 245.44/49.41  | 
% 245.44/49.41  | COMBINE_EQS: (4), (25) imply:
% 245.44/49.41  |   (26)  all_25_4 = e10
% 245.44/49.41  | 
% 245.44/49.41  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.44/49.41  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (26)
% 245.44/49.41  |            are inconsistent by sub-proof #1242.
% 245.44/49.41  | 
% 245.44/49.41  End of proof
% 245.44/49.41  
% 245.44/49.41  Sub-proof #1044 shows that the following formulas are inconsistent:
% 245.44/49.41  ----------------------------------------------------------------
% 245.44/49.41    (1)  all_25_9 = e10
% 245.44/49.41    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.44/49.41             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.44/49.41           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.41    (3)   ~ (e14 = e10)
% 245.44/49.41    (4)  op1(e10, e13) = all_14_9
% 245.44/49.41    (5)  all_25_2 = e12
% 245.44/49.42    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.42           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.42           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.42    (7)  all_25_19 = e12
% 245.44/49.42    (8)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.44/49.42           op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.42             e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.44/49.42           $i(all_23_10) & $i(all_23_11)) | (all_23_3 = e14 &  ~ (all_23_2 = e12)
% 245.44/49.42           &  ~ (all_23_20 = all_23_21) & op1(all_23_21, e14) = all_23_2 &
% 245.44/49.42           op1(all_23_21, e12) = e14 & op1(e14, e12) = all_23_21 & op1(e12, e14) =
% 245.44/49.42           all_23_20 & $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) | (all_23_5 =
% 245.44/49.42           e14 &  ~ (all_23_4 = e11) &  ~ (all_23_32 = all_23_33) & op1(all_23_33,
% 245.44/49.42             e14) = all_23_4 & op1(all_23_33, e11) = e14 & op1(e14, e11) =
% 245.44/49.42           all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_4) & $i(all_23_32) &
% 245.44/49.42           $i(all_23_33)) | (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46
% 245.44/49.42             = all_23_47) & op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) =
% 245.44/49.42           e14 & op1(e14, e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.42           $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~
% 245.44/49.42           (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.42           e13 & op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 &
% 245.44/49.42           op1(e13, e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) &
% 245.44/49.42           $i(all_23_11)) | (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.42           (all_23_24 = all_23_25) & op1(all_23_25, e13) = all_23_12 &
% 245.44/49.42           op1(all_23_25, e12) = e13 & op1(e13, e12) = all_23_25 & op1(e12, e13) =
% 245.44/49.42           all_23_24 & $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) | (all_23_15
% 245.44/49.42           = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37) &
% 245.44/49.42           op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.42             e11) = all_23_37 & op1(e11, e13) = all_23_36 & $i(all_23_14) &
% 245.44/49.42           $i(all_23_36) & $i(all_23_37)) | (all_23_17 = e13 &  ~ (all_23_16 =
% 245.44/49.42             e10) &  ~ (all_23_50 = all_23_51) & op1(all_23_51, e13) = all_23_16 &
% 245.44/49.42           op1(all_23_51, e10) = e13 & op1(e13, e10) = all_23_51 & op1(e10, e13) =
% 245.44/49.42           all_23_50 & $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) | (all_23_19
% 245.44/49.42           = e12 &  ~ (all_23_18 = e14) &  ~ (all_23_20 = all_23_21) &
% 245.44/49.42           op1(all_23_20, e14) = e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42             e12) = all_23_21 & op1(e12, e14) = all_23_20 & $i(all_23_18) &
% 245.44/49.42           $i(all_23_20) & $i(all_23_21)) | (all_23_23 = e12 &  ~ (all_23_22 =
% 245.44/49.42             e13) &  ~ (all_23_24 = all_23_25) & op1(all_23_24, e13) = e12 &
% 245.44/49.42           op1(all_23_24, e12) = all_23_22 & op1(e13, e12) = all_23_25 & op1(e12,
% 245.44/49.42             e13) = all_23_24 & $i(all_23_22) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.42         (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.42           op1(all_23_41, e12) = all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.42             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_26) &
% 245.44/49.42           $i(all_23_40) & $i(all_23_41)) | (all_23_29 = e12 &  ~ (all_23_28 =
% 245.44/49.42             e10) &  ~ (all_23_54 = all_23_55) & op1(all_23_55, e12) = all_23_28 &
% 245.44/49.42           op1(all_23_55, e10) = e12 & op1(e12, e10) = all_23_55 & op1(e10, e12) =
% 245.44/49.42           all_23_54 & $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) | (all_23_31
% 245.44/49.42           = e11 &  ~ (all_23_30 = e14) &  ~ (all_23_32 = all_23_33) &
% 245.44/49.42           op1(all_23_32, e14) = e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.42             e11) = all_23_33 & op1(e11, e14) = all_23_32 & $i(all_23_30) &
% 245.44/49.42           $i(all_23_32) & $i(all_23_33)) | (all_23_35 = e11 &  ~ (all_23_34 =
% 245.44/49.42             e13) &  ~ (all_23_36 = all_23_37) & op1(all_23_36, e13) = e11 &
% 245.44/49.42           op1(all_23_36, e11) = all_23_34 & op1(e13, e11) = all_23_37 & op1(e11,
% 245.44/49.42             e13) = all_23_36 & $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.42         (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~ (all_23_40 = all_23_41) &
% 245.44/49.42           op1(all_23_40, e12) = e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.42             e11) = all_23_41 & op1(e11, e12) = all_23_40 & $i(all_23_38) &
% 245.44/49.42           $i(all_23_40) & $i(all_23_41)) | (all_23_43 = e11 &  ~ (all_23_42 =
% 245.44/49.42             e10) &  ~ (all_23_58 = all_23_59) & op1(all_23_59, e11) = all_23_42 &
% 245.44/49.42           op1(all_23_59, e10) = e11 & op1(e11, e10) = all_23_59 & op1(e10, e11) =
% 245.44/49.42           all_23_58 & $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) | (all_23_45
% 245.44/49.42           = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.42           op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.42             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 245.44/49.42           $i(all_23_46) & $i(all_23_47)) | (all_23_49 = e10 &  ~ (all_23_48 =
% 245.44/49.42             e13) &  ~ (all_23_50 = all_23_51) & op1(all_23_50, e13) = e10 &
% 245.44/49.42           op1(all_23_50, e10) = all_23_48 & op1(e13, e10) = all_23_51 & op1(e10,
% 245.44/49.42             e13) = all_23_50 & $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.42         (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~ (all_23_54 = all_23_55) &
% 245.44/49.42           op1(all_23_54, e12) = e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.42             e10) = all_23_55 & op1(e10, e12) = all_23_54 & $i(all_23_52) &
% 245.44/49.42           $i(all_23_54) & $i(all_23_55)) | (all_23_57 = e10 &  ~ (all_23_56 =
% 245.44/49.42             e11) &  ~ (all_23_58 = all_23_59) & op1(all_23_58, e11) = e10 &
% 245.44/49.42           op1(all_23_58, e10) = all_23_56 & op1(e11, e10) = all_23_59 & op1(e10,
% 245.44/49.42             e11) = all_23_58 & $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.42    (9)  all_25_1 = e12
% 245.44/49.42    (10)  all_25_24 = e10
% 245.44/49.42    (11)  all_25_22 = e12
% 245.44/49.42    (12)  op1(e10, e12) = e12
% 245.44/49.42    (13)  all_25_4 = e13
% 245.44/49.42    (14)  all_25_20 = e14
% 245.44/49.42    (15)  op1(e10, e11) = e11
% 245.44/49.42    (16)   ~ (all_14_12 = e13)
% 245.44/49.42    (17)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.44/49.42              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.44/49.42            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.44/49.42    (18)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.42            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.42            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.42    (19)   ~ (e12 = e11)
% 245.44/49.42    (20)   ~ (e14 = e11)
% 245.44/49.42    (21)  all_25_3 = e11
% 245.44/49.42    (22)  op1(e10, e13) = e13
% 245.44/49.42    (23)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.44/49.42            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.44/49.42            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.44/49.42    (24)   ~ (e13 = e10)
% 245.44/49.42    (25)  op1(e10, e14) = e14
% 245.44/49.42    (26)  op1(e11, e12) = all_14_13
% 245.44/49.42    (27)   ~ (e14 = e13)
% 245.44/49.42    (28)  all_25_11 = e12
% 245.44/49.42    (29)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.44/49.42            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.44/49.42            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.44/49.42    (30)  op1(e14, e11) = all_14_15
% 245.44/49.42    (31)  op1(e13, unit1) = e13
% 245.44/49.42    (32)  op1(e11, e10) = e12
% 245.44/49.42    (33)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.44/49.42            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.44/49.42            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.44/49.42    (34)  op1(e13, e11) = e14
% 245.44/49.42    (35)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.44/49.42              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.44/49.42            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.44/49.42    (36)  all_25_21 = e13
% 245.44/49.42    (37)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.44/49.42              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.44/49.42            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.42    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.42            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.42    (39)  all_25_15 = e13
% 245.44/49.42    (40)   ~ (e13 = e11)
% 245.44/49.42    (41)  op1(e13, e12) = e10
% 245.44/49.42    (42)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.44/49.42              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.44/49.42            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.44/49.42    (43)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.44/49.42              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.44/49.42            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.44/49.42    (44)   ~ (all_14_18 = e14)
% 245.44/49.42    (45)  op1(e12, unit1) = e12
% 245.44/49.42    (46)  op1(e12, e11) = e12
% 245.44/49.42    (47)   ~ (e11 = e10)
% 245.44/49.42    (48)   ~ (all_14_13 = e10)
% 245.44/49.42    (49)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.44/49.42            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.44/49.42            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.44/49.42    (50)   ~ (e13 = e12)
% 245.44/49.42    (51)  op1(e13, e13) = e11
% 245.44/49.42    (52)  all_25_7 = e10
% 245.44/49.42    (53)  op1(e14, e11) = e10
% 245.44/49.42    (54)   ~ (all_14_13 = e13)
% 245.44/49.42    (55)   ~ (e12 = e10)
% 245.44/49.42    (56)   ~ (all_14_9 = e12)
% 245.44/49.42    (57)   ~ (all_14_19 = e14)
% 245.44/49.42    (58)  all_25_6 = e13
% 245.44/49.42    (59)   ~ (all_14_14 = e13)
% 245.44/49.42    (60)  op1(e14, e12) = e13
% 245.44/49.42    (61)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.44/49.42            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.44/49.42            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.44/49.42    (62)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.42            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.42            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.42    (63)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.44/49.42              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.44/49.42            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.42    (64)   ~ (all_14_15 = e14)
% 245.44/49.42    (65)   ~ (all_14_19 = e13)
% 245.44/49.42    (66)  op1(e12, e14) = e13
% 245.44/49.42    (67)  op1(e12, e12) = all_14_12
% 245.44/49.42    (68)  op1(e13, e10) = e13
% 245.44/49.42    (69)  op1(e10, unit1) = e10
% 245.44/49.42    (70)  op1(e12, e13) = e10
% 245.44/49.42    (71)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.42    (72)  op1(unit1, e14) = e14
% 245.44/49.42    (73)  op1(e14, e12) = all_14_10
% 245.44/49.42    (74)  op1(e11, e11) = e13
% 245.44/49.42    (75)   ~ (all_14_10 = e12)
% 245.44/49.42    (76)  op1(e11, e11) = all_14_18
% 245.44/49.42    (77)   ~ (all_14_19 = e10)
% 245.44/49.42    (78)  op1(unit1, e12) = e12
% 245.44/49.42    (79)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.44/49.42              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.44/49.42            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.44/49.42    (80)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.42            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.42            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.42    (81)  op1(e10, e11) = all_14_19
% 245.44/49.42    (82)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.42            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.42            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.42    (83)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.44/49.42            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.44/49.42            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.44/49.42    (84)  op1(e10, e12) = all_14_14
% 245.44/49.42    (85)  op1(e13, e14) = e12
% 245.44/49.42    (86)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.44/49.42            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.44/49.42            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.44/49.42    (87)   ~ (e14 = e12)
% 245.44/49.42    (88)  op1(e14, e13) = e12
% 245.44/49.42    (89)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.44/49.42            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.44/49.42            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.42    (90)  all_25_17 = e13
% 245.44/49.42  
% 245.44/49.42  Begin of proof
% 245.44/49.42  | 
% 245.44/49.42  | BETA: splitting (82) gives:
% 245.44/49.42  | 
% 245.44/49.42  | Case 1:
% 245.44/49.42  | | 
% 245.44/49.42  | |   (91)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.44/49.42  | |             e13) = e14)
% 245.44/49.42  | | 
% 245.44/49.42  | | BETA: splitting (91) gives:
% 245.44/49.42  | | 
% 245.44/49.42  | | Case 1:
% 245.44/49.42  | | | 
% 245.44/49.42  | | |   (92)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.44/49.42  | | | 
% 245.44/49.42  | | | REF_CLOSE: (9), (87), (92) are inconsistent by sub-proof #1292.
% 245.44/49.42  | | | 
% 245.44/49.42  | | Case 2:
% 245.44/49.42  | | | 
% 245.44/49.42  | | |   (93)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.44/49.42  | | | 
% 245.44/49.42  | | | REF_CLOSE: (20), (21), (93) are inconsistent by sub-proof #1291.
% 245.44/49.42  | | | 
% 245.44/49.42  | | End of split
% 245.44/49.42  | | 
% 245.44/49.42  | Case 2:
% 245.44/49.42  | | 
% 245.44/49.42  | |   (94)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.44/49.42  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.42  | | 
% 245.44/49.42  | | BETA: splitting (94) gives:
% 245.44/49.42  | | 
% 245.44/49.42  | | Case 1:
% 245.44/49.42  | | | 
% 245.44/49.42  | | |   (95)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.44/49.42  | | | 
% 245.44/49.42  | | | REF_CLOSE: (3), (10), (11), (14), (22), (27), (38), (52), (57), (63),
% 245.44/49.42  | | |            (81), (87), (95) are inconsistent by sub-proof #1142.
% 245.44/49.42  | | | 
% 245.44/49.42  | | Case 2:
% 245.44/49.42  | | | 
% 245.44/49.42  | | |   (96)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.44/49.42  | | |           op1(e10, e13) = e14)
% 245.44/49.42  | | | 
% 245.44/49.42  | | | BETA: splitting (96) gives:
% 245.44/49.42  | | | 
% 245.44/49.42  | | | Case 1:
% 245.44/49.42  | | | | 
% 245.44/49.42  | | | |   (97)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.44/49.42  | | | | 
% 245.44/49.42  | | | | ALPHA: (97) implies:
% 245.44/49.42  | | | |   (98)  all_25_13 = e14
% 245.44/49.42  | | | |   (99)  op1(e11, e13) = e14
% 245.44/49.42  | | | | 
% 245.44/49.42  | | | | BETA: splitting (42) gives:
% 245.44/49.42  | | | | 
% 245.44/49.42  | | | | Case 1:
% 245.44/49.42  | | | | | 
% 245.44/49.42  | | | | |   (100)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 245.44/49.42  | | | | |            op1(e11, e13) = e10)
% 245.44/49.42  | | | | | 
% 245.44/49.42  | | | | | BETA: splitting (100) gives:
% 245.44/49.42  | | | | | 
% 245.44/49.42  | | | | | Case 1:
% 245.44/49.42  | | | | | | 
% 245.44/49.42  | | | | | |   (101)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.44/49.42  | | | | | | 
% 245.44/49.42  | | | | | | ALPHA: (101) implies:
% 245.44/49.42  | | | | | |   (102)  all_25_12 = e10
% 245.44/49.42  | | | | | |   (103)  op1(e11, e14) = e10
% 245.44/49.42  | | | | | | 
% 245.44/49.42  | | | | | | BETA: splitting (35) gives:
% 245.44/49.42  | | | | | | 
% 245.44/49.42  | | | | | | Case 1:
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | |   (104)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 =
% 245.44/49.42  | | | | | | |            e11 & op1(e11, e13) = e11)
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | | BETA: splitting (104) gives:
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | |   (105)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | ALPHA: (105) implies:
% 245.44/49.42  | | | | | | | |   (106)  all_25_12 = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | REF_CLOSE: (47), (102), (106) are inconsistent by sub-proof
% 245.44/49.42  | | | | | | | |            #1177.
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | |   (107)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | ALPHA: (107) implies:
% 245.44/49.42  | | | | | | | |   (108)  all_25_13 = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | REF_CLOSE: (3), (9), (20), (21), (22), (27), (38), (52), (82),
% 245.44/49.42  | | | | | | | |            (87), (108) are inconsistent by sub-proof #1169.
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | End of split
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | Case 2:
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | |   (109)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.44/49.42  | | | | | | |            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 245.44/49.42  | | | | | | |            op1(e11, e10) = e11)
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | | BETA: splitting (109) gives:
% 245.44/49.42  | | | | | | | 
% 245.44/49.42  | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | |   (110)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | ALPHA: (110) implies:
% 245.44/49.42  | | | | | | | |   (111)  all_25_14 = e11
% 245.44/49.42  | | | | | | | |   (112)  op1(e11, e12) = e11
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | BETA: splitting (61) gives:
% 245.44/49.42  | | | | | | | | 
% 245.44/49.42  | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | 
% 245.44/49.42  | | | | | | | | |   (113)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 =
% 245.44/49.42  | | | | | | | | |            e11 & op1(e13, e14) = e11)
% 245.44/49.42  | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | BETA: splitting (113) gives:
% 245.44/49.42  | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | |   (114)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.44/49.42  | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | ALPHA: (114) implies:
% 245.44/49.42  | | | | | | | | | |   (115)  all_25_0 = e11
% 245.44/49.42  | | | | | | | | | |   (116)  op1(e14, e14) = e11
% 245.44/49.42  | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | BETA: splitting (83) gives:
% 245.44/49.42  | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | |   (117)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5
% 245.44/49.42  | | | | | | | | | | |            = e14 & op1(e13, e12) = e14)
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | BETA: splitting (117) gives:
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | |   (118)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | REF_CLOSE: (3), (9), (13), (20), (21), (22), (27), (38),
% 245.44/49.42  | | | | | | | | | | | |            (52), (82), (87), (98), (118) are inconsistent by
% 245.44/49.42  | | | | | | | | | | | |            sub-proof #1063.
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | |   (119)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | ALPHA: (119) implies:
% 245.44/49.42  | | | | | | | | | | | |   (120)  op1(e13, e12) = e14
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | REF_CLOSE: (3), (38), (41), (120) are inconsistent by
% 245.44/49.42  | | | | | | | | | | | |            sub-proof #1286.
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | End of split
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | |   (121)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.44/49.42  | | | | | | | | | | |          (all_25_14 = e14 & op1(e11, e12) = e14) |
% 245.44/49.42  | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | BETA: splitting (121) gives:
% 245.44/49.42  | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | |   (122)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | ALPHA: (122) implies:
% 245.44/49.42  | | | | | | | | | | | |   (123)  all_25_8 = e14
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | BETA: splitting (89) gives:
% 245.44/49.42  | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | |   (124)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 245.44/49.42  | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | BETA: splitting (124) gives:
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | |   (125)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (24), (26), (29), (38), (40), (41),
% 245.44/49.42  | | | | | | | | | | | | | |            (54), (58), (59), (67), (84), (125) are
% 245.44/49.42  | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | |   (126)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (9), (13), (19), (20), (23), (27), (30),
% 245.44/49.42  | | | | | | | | | | | | | |            (38), (40), (47), (52), (64), (86), (87), (115),
% 245.44/49.42  | | | | | | | | | | | | | |            (126) are inconsistent by sub-proof #1171.
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | End of split
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | |   (127)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.44/49.42  | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.44/49.42  | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.44/49.42  | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | |   (128)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (20), (21), (22), (27), (38), (52),
% 245.44/49.42  | | | | | | | | | | | | | |            (82), (87), (98), (123), (128) are inconsistent by
% 245.44/49.42  | | | | | | | | | | | | | |            sub-proof #1100.
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | |   (129)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.44/49.42  | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 245.44/49.42  | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | |   (130)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | REF_CLOSE: (19), (28), (130) are inconsistent by sub-proof
% 245.44/49.42  | | | | | | | | | | | | | | |            #1149.
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | |   (131)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 245.44/49.42  | | | | | | | | | | | | | | |   (132)  all_25_18 = e11
% 245.44/49.42  | | | | | | | | | | | | | | |   (133)  op1(e12, e10) = e11
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | |   (134)  (all_25_16 = e14 & op1(e14, e10) = e14) |
% 245.44/49.42  | | | | | | | | | | | | | | | |          (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.42  | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | |   (135)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.44/49.42  | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 245.44/49.42  | | | | | | | | | | | | | | | | |   (136)  op1(e14, e10) = e14
% 245.44/49.42  | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | |   (137)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |   (138)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |   (139)  (all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_0) & $i(all_23_10) & $i(all_23_11)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_2) & $i(all_23_20) & $i(all_23_21))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (140)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_10 = all_23_11) & op1(all_23_11, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_0) & $i(all_23_10) & $i(all_23_11)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (38), (70), (88), (140) are inconsistent by
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1062.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (141)  all_23_3 = e14 &  ~ (all_23_2 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_21, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          all_23_2 & op1(all_23_21, e12) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_2) & $i(all_23_20) & $i(all_23_21)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (142)   ~ (all_23_20 = all_23_21)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (143)  op1(e12, e14) = all_23_20
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (144)  op1(e14, e12) = all_23_21
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (60), (66), (142), (143), (144) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1061.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |   (145)  (all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_4) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (146)  all_23_5 = e14 &  ~ (all_23_4 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_33, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          all_23_4 & op1(all_23_33, e11) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_4) & $i(all_23_32) & $i(all_23_33)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (147)   ~ (all_23_32 = all_23_33)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (148)  op1(e11, e14) = all_23_32
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (149)  op1(e14, e11) = all_23_33
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (53), (103), (147), (148), (149) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (150)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_47, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_6) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            (all_23_10 = all_23_11) & op1(all_23_10, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e13 & op1(all_23_10, e13) = all_23_8 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |              e13) = all_23_11 & op1(e13, e14) = all_23_10 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (38), (85), (88), (136), (150) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |   (151)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |   (152)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_25, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_12) & $i(all_23_24) & $i(all_23_25)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_37, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_14 & op1(all_23_37, e11) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (41), (70), (99), (152) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1054.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |   (153)  (all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_16) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (154)  all_23_17 = e13 &  ~ (all_23_16 = e10) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_51, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          all_23_16 & op1(all_23_51, e10) = e13 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_16) & $i(all_23_50) & $i(all_23_51)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_23_50 = all_23_51)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (156)  op1(e10, e13) = all_23_50
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (157)  op1(e13, e10) = all_23_51
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (38), (68), (155), (156), (157) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |   (158)  (all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_18) & $i(all_23_20) & $i(all_23_21)) |
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |          (all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |              e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_22) & $i(all_23_24) & $i(all_23_25))
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_23_19 = e12 &  ~ (all_23_18 = e14) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          (all_23_20 = all_23_21) & op1(all_23_20, e14) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_20, e12) = all_23_18 & op1(e14,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_21 & op1(e12, e14) = all_23_20 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_18) & $i(all_23_20) & $i(all_23_21)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |   (160)   ~ (all_23_20 = all_23_21)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |   (161)  op1(e12, e14) = all_23_20
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |   (162)  op1(e14, e12) = all_23_21
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (60), (66), (160), (161), (162) are
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1061.
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_23_23 = e12 &  ~ (all_23_22 = e13) &  ~
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          (all_23_24 = all_23_25) & op1(all_23_24, e13) =
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          e12 & op1(all_23_24, e12) = all_23_22 & op1(e13,
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |            e12) = all_23_25 & op1(e12, e13) = all_23_24 &
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_22) & $i(all_23_24) & $i(all_23_25)
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (164)   ~ (all_23_24 = all_23_25)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (165)  op1(e12, e13) = all_23_24
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (166)  op1(e13, e12) = all_23_25
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (41), (70), (164), (165), (166) are
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (167)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |   (168)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |   (169)  (all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_26) & $i(all_23_40) & $i(all_23_41)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_28) & $i(all_23_54) & $i(all_23_55))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (170)  all_23_27 = e12 &  ~ (all_23_26 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_41, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          all_23_26 & op1(all_23_41, e11) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_26) & $i(all_23_40) & $i(all_23_41)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (171)   ~ (all_23_40 = all_23_41)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (172)  op1(e11, e12) = all_23_40
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (173)  op1(e12, e11) = all_23_41
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (38), (41), (45), (46), (50), (69),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (71), (77), (81), (85), (112), (133), (171),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (172), (173) are inconsistent by sub-proof #1051.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (174)  all_23_29 = e12 &  ~ (all_23_28 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_55, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          all_23_28 & op1(all_23_55, e10) = e12 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_28) & $i(all_23_54) & $i(all_23_55)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (175)   ~ (all_23_54 = all_23_55)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (176)  op1(e10, e12) = all_23_54
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (177)  op1(e12, e10) = all_23_55
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (24), (31), (38), (41), (45), (50), (69),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (71), (77), (81), (85), (133), (175), (176), (177)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1050.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |   (178)  (all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_30) & $i(all_23_32) & $i(all_23_33)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (179)  all_23_31 = e11 &  ~ (all_23_30 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_32 = all_23_33) & op1(all_23_32, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_32, e11) = all_23_30 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_33 & op1(e11, e14) = all_23_32 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_30) & $i(all_23_32) & $i(all_23_33)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_23_32 = all_23_33)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (181)  op1(e11, e14) = all_23_32
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (182)  op1(e14, e11) = all_23_33
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (53), (103), (180), (181), (182) are
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (183)  (all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_34) & $i(all_23_36) & $i(all_23_37)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_38) & $i(all_23_40) & $i(all_23_41))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (184)  all_23_35 = e11 &  ~ (all_23_34 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          (all_23_36 = all_23_37) & op1(all_23_36, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_36, e11) = all_23_34 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_34) & $i(all_23_36) & $i(all_23_37)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_23_36 = all_23_37)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (186)  op1(e11, e13) = all_23_36
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (187)  op1(e13, e11) = all_23_37
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (38), (99), (185), (186), (187) are
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1055.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (188)  all_23_39 = e11 &  ~ (all_23_38 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          (all_23_40 = all_23_41) & op1(all_23_40, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          e11 & op1(all_23_40, e11) = all_23_38 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            e11) = all_23_41 & op1(e11, e12) = all_23_40 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_38) & $i(all_23_40) & $i(all_23_41)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_23_40 = all_23_41)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (190)  op1(e11, e12) = all_23_40
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (191)  op1(e12, e11) = all_23_41
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (38), (41), (45), (46), (50), (69),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            (71), (77), (81), (85), (112), (133), (189),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            (190), (191) are inconsistent by sub-proof #1051.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |   (192)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |   (193)  (all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_42) & $i(all_23_58) & $i(all_23_59)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_44) & $i(all_23_46) & $i(all_23_47))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (194)  all_23_43 = e11 &  ~ (all_23_42 = e10) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_59, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          all_23_42 & op1(all_23_59, e10) = e11 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_42) & $i(all_23_58) & $i(all_23_59)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_23_58 = all_23_59)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (196)  op1(e10, e11) = all_23_58
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (197)  op1(e11, e10) = all_23_59
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (198)  op1(all_23_59, e10) = e11
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with e11, all_23_58, e11, e10,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              simplifying with (15), (196) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (199)  all_23_58 = e11
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with e12, all_23_59, e10, e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              simplifying with (32), (197) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (200)  all_23_59 = e12
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (199), (200) imply:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (201)   ~ (e12 = e11)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (24), (31), (38), (41), (45), (50), (69),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (71), (77), (81), (85), (133) are inconsistent by
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1052.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (202)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_46 = all_23_47) & op1(all_23_46, e14) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_47 & op1(e10, e14) = all_23_46 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_44) & $i(all_23_46) & $i(all_23_47)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (38), (47), (116), (202) are inconsistent by
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |   (203)  (all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_48) & $i(all_23_50) & $i(all_23_51)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (204)  all_23_49 = e10 &  ~ (all_23_48 = e13) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_50 = all_23_51) & op1(all_23_50, e13) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_50, e10) = all_23_48 & op1(e13,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_51 & op1(e10, e13) = all_23_50 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          $i(all_23_48) & $i(all_23_50) & $i(all_23_51)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_23_50 = all_23_51)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (206)  op1(e10, e13) = all_23_50
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (207)  op1(e13, e10) = all_23_51
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (38), (68), (205), (206), (207) are
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1053.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |   (208)  (all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_52) & $i(all_23_54) & $i(all_23_55)) |
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |          (all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |              e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | |            $i(all_23_56) & $i(all_23_58) & $i(all_23_59))
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (209)  all_23_53 = e10 &  ~ (all_23_52 = e12) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          (all_23_54 = all_23_55) & op1(all_23_54, e12) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_54, e10) = all_23_52 & op1(e12,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_55 & op1(e10, e12) = all_23_54 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_52) & $i(all_23_54) & $i(all_23_55)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_23_54 = all_23_55)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (211)  op1(e10, e12) = all_23_54
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (212)  op1(e12, e10) = all_23_55
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (24), (31), (38), (41), (45), (50), (69),
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            (71), (77), (81), (85), (133), (210), (211), (212)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1050.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (213)  all_23_57 = e10 &  ~ (all_23_56 = e11) &  ~
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          (all_23_58 = all_23_59) & op1(all_23_58, e11) =
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          e10 & op1(all_23_58, e10) = all_23_56 & op1(e11,
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            e10) = all_23_59 & op1(e10, e11) = all_23_58 &
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |          $i(all_23_56) & $i(all_23_58) & $i(all_23_59)
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (214)  op1(e10, e11) = all_23_58
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |   (215)  op1(all_23_58, e11) = e10
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (24), (38), (74), (214), (215) are
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1048.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | |   (216)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (24), (27), (34), (38), (40), (41),
% 245.44/49.43  | | | | | | | | | | | | | | | | |            (50), (51), (216) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | | | | | | | | | |            #1136.
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | |   (217)  (all_25_18 = e14 & op1(e12, e10) = e14) |
% 245.44/49.43  | | | | | | | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.44/49.43  | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.43  | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | |   (218)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | |   (219)  all_25_18 = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (20), (21), (22), (27), (38), (52),
% 245.44/49.43  | | | | | | | | | | | | | | | | |            (82), (87), (98), (132), (219) are inconsistent by
% 245.44/49.43  | | | | | | | | | | | | | | | | |            sub-proof #1047.
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | |   (220)  (all_25_19 = e14 & op1(e11, e10) = e14) |
% 245.44/49.43  | | | | | | | | | | | | | | | | |          (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (221)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (222)  all_25_19 = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (222) imply:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (223)  e14 = e12
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | SIMP: (223) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (224)  e14 = e12
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (224) imply:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (225)  all_25_13 = e12
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (20), (21), (22), (27), (38), (52),
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (82), (87), (225) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            #1194.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (226)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (227)  all_25_24 = e14
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (227) imply:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (228)  e14 = e10
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (229)  e14 = e10
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (229) imply:
% 245.44/49.43  | | | | | | | | | | | | | | | | | |   (230)  all_25_13 = e10
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (17), (20), (38), (44), (76), (87),
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            (102), (111), (230) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | | | | | | | | | | |            #1074.
% 245.44/49.43  | | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | |   (231)  (all_25_14 = e14 & op1(e11, e12) = e14) |
% 245.44/49.43  | | | | | | | | | | | |          (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.44/49.43  | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | BETA: splitting (231) gives:
% 245.44/49.43  | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | |   (232)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | ALPHA: (232) implies:
% 245.44/49.43  | | | | | | | | | | | | |   (233)  all_25_14 = e14
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | COMBINE_EQS: (111), (233) imply:
% 245.44/49.43  | | | | | | | | | | | | |   (234)  e14 = e11
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | SIMP: (234) implies:
% 245.44/49.43  | | | | | | | | | | | | |   (235)  e14 = e11
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | COMBINE_EQS: (98), (235) imply:
% 245.44/49.43  | | | | | | | | | | | | |   (236)  all_25_13 = e11
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | REF_CLOSE: (3), (9), (20), (21), (22), (27), (38), (52),
% 245.44/49.43  | | | | | | | | | | | | |            (82), (87), (236) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | | | | | |            #1169.
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | |   (237)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | ALPHA: (237) implies:
% 245.44/49.43  | | | | | | | | | | | | |   (238)  all_25_22 = e14
% 245.44/49.43  | | | | | | | | | | | | |   (239)  op1(e10, e12) = e14
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (10), (13), (14), (16),
% 245.44/49.43  | | | | | | | | | | | | |            (18), (19), (20), (24), (26), (27), (29), (31),
% 245.44/49.43  | | | | | | | | | | | | |            (36), (38), (40), (41), (43), (47), (50), (51),
% 245.44/49.43  | | | | | | | | | | | | |            (54), (55), (56), (59), (62), (67), (69), (71),
% 245.44/49.43  | | | | | | | | | | | | |            (72), (73), (75), (77), (78), (80), (81), (84),
% 245.44/49.43  | | | | | | | | | | | | |            (85), (87), (238), (239) are inconsistent by
% 245.44/49.43  | | | | | | | | | | | | |            sub-proof #1072.
% 245.44/49.43  | | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | |   (240)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.44/49.43  | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | | REF_CLOSE: (5), (19), (240) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | | |            #1189.
% 245.44/49.43  | | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | |   (241)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 =
% 245.44/49.43  | | | | | | | | |            e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.44/49.43  | | | | | | | | |            op1(e10, e14) = e11)
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | REF_CLOSE: (3), (9), (13), (14), (16), (20), (21), (22), (24),
% 245.44/49.43  | | | | | | | | |            (26), (27), (29), (38), (40), (41), (47), (52),
% 245.44/49.43  | | | | | | | | |            (54), (58), (59), (67), (82), (84), (87), (98),
% 245.44/49.43  | | | | | | | | |            (102), (241) are inconsistent by sub-proof #1140.
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | 
% 245.44/49.43  | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | 
% 245.44/49.43  | | | | | | | |   (242)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 =
% 245.44/49.43  | | | | | | | |            e11 & op1(e11, e10) = e11)
% 245.44/49.43  | | | | | | | | 
% 245.44/49.43  | | | | | | | | BETA: splitting (242) gives:
% 245.44/49.43  | | | | | | | | 
% 245.44/49.43  | | | | | | | | Case 1:
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | |   (243)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | REF_CLOSE: (13), (16), (24), (26), (29), (38), (39), (40),
% 245.44/49.43  | | | | | | | | |            (41), (54), (59), (67), (84), (243) are
% 245.44/49.43  | | | | | | | | |            inconsistent by sub-proof #1107.
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | Case 2:
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | |   (244)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | | REF_CLOSE: (7), (19), (244) are inconsistent by sub-proof
% 245.44/49.43  | | | | | | | | |            #1046.
% 245.44/49.43  | | | | | | | | | 
% 245.44/49.43  | | | | | | | | End of split
% 245.44/49.43  | | | | | | | | 
% 245.44/49.43  | | | | | | | End of split
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | End of split
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | Case 2:
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | |   (245)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | | REF_CLOSE: (3), (10), (11), (14), (22), (27), (38), (57), (63),
% 245.44/49.43  | | | | | |            (81), (87), (98), (245) are inconsistent by sub-proof
% 245.44/49.43  | | | | | |            #1139.
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | End of split
% 245.44/49.43  | | | | | 
% 245.44/49.43  | | | | Case 2:
% 245.44/49.43  | | | | | 
% 245.44/49.43  | | | | |   (246)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 245.44/49.43  | | | | |            op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) =
% 245.44/49.43  | | | | |            e10)
% 245.44/49.43  | | | | | 
% 245.44/49.43  | | | | | BETA: splitting (246) gives:
% 245.44/49.43  | | | | | 
% 245.44/49.43  | | | | | Case 1:
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | |   (247)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | | ALPHA: (247) implies:
% 245.44/49.43  | | | | | |   (248)  op1(e11, e12) = e10
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | | REF_CLOSE: (26), (38), (48), (248) are inconsistent by sub-proof
% 245.44/49.43  | | | | | |            #1158.
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | Case 2:
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | |   (249)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10
% 245.44/49.43  | | | | | |            & op1(e11, e10) = e10)
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | | BETA: splitting (249) gives:
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | | Case 1:
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | |   (250)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | | REF_CLOSE: (3), (5), (6), (13), (16), (20), (21), (24), (26),
% 245.44/49.43  | | | | | | |            (27), (29), (38), (39), (40), (41), (50), (51), (54),
% 245.44/49.43  | | | | | | |            (59), (67), (80), (84), (87), (90), (250) are
% 245.44/49.43  | | | | | | |            inconsistent by sub-proof #1157.
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | Case 2:
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | |   (251)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | | REF_CLOSE: (3), (5), (6), (7), (18), (19), (20), (24), (27), (38),
% 245.44/49.43  | | | | | | |            (40), (41), (47), (50), (51), (55), (62), (80), (87),
% 245.44/49.43  | | | | | | |            (251) are inconsistent by sub-proof #1045.
% 245.44/49.43  | | | | | | | 
% 245.44/49.43  | | | | | | End of split
% 245.44/49.43  | | | | | | 
% 245.44/49.43  | | | | | End of split
% 245.44/49.43  | | | | | 
% 245.44/49.43  | | | | End of split
% 245.44/49.43  | | | | 
% 245.44/49.43  | | | Case 2:
% 245.44/49.43  | | | | 
% 245.44/49.43  | | | |   (252)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.44/49.43  | | | | 
% 245.44/49.43  | | | | REF_CLOSE: (3), (5), (6), (10), (18), (19), (20), (21), (24), (27),
% 245.44/49.43  | | | |            (33), (34), (38), (40), (41), (47), (49), (50), (51), (55),
% 245.44/49.43  | | | |            (58), (59), (61), (62), (65), (79), (80), (81), (84), (87),
% 245.44/49.43  | | | |            (90), (252) are inconsistent by sub-proof #1175.
% 245.44/49.43  | | | | 
% 245.44/49.43  | | | End of split
% 245.44/49.43  | | | 
% 245.44/49.43  | | End of split
% 245.44/49.43  | | 
% 245.44/49.43  | End of split
% 245.44/49.43  | 
% 245.44/49.43  End of proof
% 245.44/49.43  
% 245.44/49.43  Sub-proof #1045 shows that the following formulas are inconsistent:
% 245.44/49.43  ----------------------------------------------------------------
% 245.44/49.43    (1)   ~ (e14 = e10)
% 245.44/49.43    (2)  all_25_2 = e12
% 245.44/49.43    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.43           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.43           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.43    (4)  all_25_19 = e12
% 245.44/49.43    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.43           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.43           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.43    (6)   ~ (e12 = e11)
% 245.44/49.43    (7)   ~ (e14 = e11)
% 245.44/49.43    (8)   ~ (e13 = e10)
% 245.44/49.43    (9)   ~ (e14 = e13)
% 245.44/49.43    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.43            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.43    (11)   ~ (e13 = e11)
% 245.44/49.43    (12)  op1(e13, e12) = e10
% 245.44/49.43    (13)   ~ (e11 = e10)
% 245.44/49.43    (14)   ~ (e13 = e12)
% 245.44/49.43    (15)  op1(e13, e13) = e11
% 245.44/49.43    (16)   ~ (e12 = e10)
% 245.44/49.43    (17)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.44/49.43    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.43            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.43            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.44/49.43    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.43            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.44/49.43            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.44/49.43    (20)   ~ (e14 = e12)
% 245.44/49.43  
% 245.44/49.43  Begin of proof
% 245.44/49.43  | 
% 245.44/49.43  | ALPHA: (17) implies:
% 245.44/49.43  |   (21)  all_25_19 = e10
% 245.44/49.43  | 
% 245.44/49.43  | COMBINE_EQS: (4), (21) imply:
% 245.44/49.43  |   (22)  e12 = e10
% 245.44/49.43  | 
% 245.44/49.43  | COMBINE_EQS: (2), (22) imply:
% 245.44/49.43  |   (23)  all_25_2 = e10
% 245.44/49.43  | 
% 245.44/49.43  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.44/49.43  |            (15), (16), (18), (19), (20), (23) are inconsistent by sub-proof
% 245.44/49.43  |            #1281.
% 245.44/49.43  | 
% 245.44/49.43  End of proof
% 245.44/49.43  
% 245.44/49.43  Sub-proof #1046 shows that the following formulas are inconsistent:
% 245.44/49.43  ----------------------------------------------------------------
% 245.44/49.43    (1)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.44/49.43    (2)  all_25_19 = e12
% 245.44/49.43    (3)   ~ (e12 = e11)
% 245.44/49.43  
% 245.44/49.43  Begin of proof
% 245.44/49.43  | 
% 245.44/49.43  | ALPHA: (1) implies:
% 245.44/49.43  |   (4)  all_25_19 = e11
% 245.44/49.43  | 
% 245.44/49.43  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.43  |   (5)  e12 = e11
% 245.44/49.43  | 
% 245.44/49.43  | SIMP: (5) implies:
% 245.44/49.43  |   (6)  e12 = e11
% 245.44/49.43  | 
% 245.44/49.43  | REDUCE: (3), (6) imply:
% 245.44/49.43  |   (7)  $false
% 245.44/49.43  | 
% 245.44/49.43  | CLOSE: (7) is inconsistent.
% 245.44/49.43  | 
% 245.44/49.43  End of proof
% 245.44/49.43  
% 245.44/49.43  Sub-proof #1047 shows that the following formulas are inconsistent:
% 245.44/49.43  ----------------------------------------------------------------
% 245.44/49.43    (1)   ~ (e14 = e10)
% 245.44/49.43    (2)  all_25_1 = e12
% 245.44/49.43    (3)  all_25_18 = e14
% 245.44/49.43    (4)  all_25_18 = e11
% 245.44/49.43    (5)   ~ (e14 = e11)
% 245.44/49.43    (6)  all_25_3 = e11
% 245.44/49.43    (7)  op1(e10, e13) = e13
% 245.44/49.43    (8)   ~ (e14 = e13)
% 245.44/49.43    (9)  all_25_13 = e14
% 245.44/49.43    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.43            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.43    (11)  all_25_7 = e10
% 245.44/49.43    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.43            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.43            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.43    (13)   ~ (e14 = e12)
% 245.44/49.43  
% 245.44/49.43  Begin of proof
% 245.44/49.43  | 
% 245.44/49.43  | COMBINE_EQS: (3), (4) imply:
% 245.44/49.43  |   (14)  e14 = e11
% 245.44/49.43  | 
% 245.44/49.43  | SIMP: (14) implies:
% 245.44/49.43  |   (15)  e14 = e11
% 245.44/49.43  | 
% 245.44/49.43  | COMBINE_EQS: (9), (15) imply:
% 245.44/49.43  |   (16)  all_25_13 = e11
% 245.44/49.43  | 
% 245.44/49.43  | REF_CLOSE: (1), (2), (5), (6), (7), (8), (10), (11), (12), (13), (16) are
% 245.44/49.43  |            inconsistent by sub-proof #1169.
% 245.44/49.43  | 
% 245.44/49.43  End of proof
% 245.44/49.43  
% 245.44/49.43  Sub-proof #1048 shows that the following formulas are inconsistent:
% 245.44/49.43  ----------------------------------------------------------------
% 245.44/49.43    (1)  op1(all_23_58, e11) = e10
% 245.44/49.43    (2)  op1(e10, e11) = e11
% 245.44/49.43    (3)   ~ (e13 = e10)
% 245.44/49.43    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.43           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.43    (5)  op1(e10, e11) = all_23_58
% 245.44/49.43    (6)  op1(e11, e11) = e13
% 245.44/49.43  
% 245.44/49.43  Begin of proof
% 245.44/49.43  | 
% 245.44/49.43  | GROUND_INST: instantiating (4) with e11, all_23_58, e11, e10, simplifying with
% 245.44/49.43  |              (2), (5) gives:
% 245.44/49.43  |   (7)  all_23_58 = e11
% 245.44/49.43  | 
% 245.44/49.43  | REDUCE: (1), (7) imply:
% 245.44/49.43  |   (8)  op1(e11, e11) = e10
% 245.44/49.43  | 
% 245.44/49.43  | GROUND_INST: instantiating (4) with e13, e10, e11, e11, simplifying with (6),
% 245.44/49.43  |              (8) gives:
% 245.44/49.43  |   (9)  e13 = e10
% 245.44/49.43  | 
% 245.44/49.43  | REDUCE: (3), (9) imply:
% 245.44/49.43  |   (10)  $false
% 245.44/49.43  | 
% 245.44/49.43  | CLOSE: (10) is inconsistent.
% 245.44/49.43  | 
% 245.44/49.43  End of proof
% 245.44/49.43  
% 245.44/49.43  Sub-proof #1049 shows that the following formulas are inconsistent:
% 245.44/49.43  ----------------------------------------------------------------
% 245.44/49.43    (1)  op1(e10, e14) = e14
% 245.44/49.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.43           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.43    (3)   ~ (e11 = e10)
% 245.44/49.43    (4)  op1(e14, e14) = e11
% 245.44/49.43    (5)  all_23_45 = e10 &  ~ (all_23_44 = e14) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.43         op1(all_23_46, e14) = e10 & op1(all_23_46, e10) = all_23_44 & op1(e14,
% 245.44/49.43           e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_44) &
% 245.44/49.43         $i(all_23_46) & $i(all_23_47)
% 245.44/49.43  
% 245.44/49.43  Begin of proof
% 245.44/49.43  | 
% 245.44/49.43  | ALPHA: (5) implies:
% 245.44/49.43  |   (6)  op1(e10, e14) = all_23_46
% 245.44/49.43  |   (7)  op1(all_23_46, e14) = e10
% 245.44/49.43  | 
% 245.44/49.43  | GROUND_INST: instantiating (2) with e14, all_23_46, e14, e10, simplifying with
% 245.44/49.43  |              (1), (6) gives:
% 245.44/49.44  |   (8)  all_23_46 = e14
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (7), (8) imply:
% 245.44/49.44  |   (9)  op1(e14, e14) = e10
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e11, e10, e14, e14, simplifying with (4),
% 245.44/49.44  |              (9) gives:
% 245.44/49.44  |   (10)  e11 = e10
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (3), (10) imply:
% 245.44/49.44  |   (11)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (11) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1050 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e10, e12) = e12
% 245.44/49.44    (2)  op1(e12, e10) = e11
% 245.44/49.44    (3)  op1(e10, e12) = all_23_54
% 245.44/49.44    (4)   ~ (e13 = e10)
% 245.44/49.44    (5)  op1(e13, unit1) = e13
% 245.44/49.44    (6)   ~ (all_23_54 = all_23_55)
% 245.44/49.44    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (8)  op1(e13, e12) = e10
% 245.44/49.44    (9)  op1(e12, unit1) = e12
% 245.44/49.44    (10)   ~ (e13 = e12)
% 245.44/49.44    (11)  op1(e10, unit1) = e10
% 245.44/49.44    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.44    (13)   ~ (all_14_19 = e10)
% 245.44/49.44    (14)  op1(e10, e11) = all_14_19
% 245.44/49.44    (15)  op1(e13, e14) = e12
% 245.44/49.44    (16)  op1(e12, e10) = all_23_55
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (7) with e12, all_23_54, e12, e10, simplifying with
% 245.44/49.44  |              (1), (3) gives:
% 245.44/49.44  |   (17)  all_23_54 = e12
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (7) with e11, all_23_55, e10, e12, simplifying with
% 245.44/49.44  |              (2), (16) gives:
% 245.44/49.44  |   (18)  all_23_55 = e11
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (6), (17), (18) imply:
% 245.44/49.44  |   (19)   ~ (e12 = e11)
% 245.44/49.44  | 
% 245.44/49.44  | REF_CLOSE: (2), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 245.44/49.44  |            (19) are inconsistent by sub-proof #1052.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1051 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e12, e10) = e11
% 245.44/49.44    (2)   ~ (e13 = e10)
% 245.44/49.44    (3)   ~ (all_23_40 = all_23_41)
% 245.44/49.44    (4)  op1(e13, unit1) = e13
% 245.44/49.44    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (6)  op1(e13, e12) = e10
% 245.44/49.44    (7)  op1(e12, unit1) = e12
% 245.44/49.44    (8)  op1(e12, e11) = e12
% 245.44/49.44    (9)   ~ (e13 = e12)
% 245.44/49.44    (10)  op1(e11, e12) = all_23_40
% 245.44/49.44    (11)  op1(e10, unit1) = e10
% 245.44/49.44    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.44    (13)   ~ (all_14_19 = e10)
% 245.44/49.44    (14)  op1(e10, e11) = all_14_19
% 245.44/49.44    (15)  op1(e11, e12) = e11
% 245.44/49.44    (16)  op1(e13, e14) = e12
% 245.44/49.44    (17)  op1(e12, e11) = all_23_41
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (5) with e11, all_23_40, e12, e11, simplifying with
% 245.44/49.44  |              (10), (15) gives:
% 245.44/49.44  |   (18)  all_23_40 = e11
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (5) with e12, all_23_41, e11, e12, simplifying with
% 245.44/49.44  |              (8), (17) gives:
% 245.44/49.44  |   (19)  all_23_41 = e12
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (3), (18), (19) imply:
% 245.44/49.44  |   (20)   ~ (e12 = e11)
% 245.44/49.44  | 
% 245.44/49.44  | SIMP: (20) implies:
% 245.44/49.44  |   (21)   ~ (e12 = e11)
% 245.44/49.44  | 
% 245.44/49.44  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (11), (12), (13), (14), (16),
% 245.44/49.44  |            (21) are inconsistent by sub-proof #1052.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1052 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e12, e10) = e11
% 245.44/49.44    (2)   ~ (e12 = e11)
% 245.44/49.44    (3)   ~ (e13 = e10)
% 245.44/49.44    (4)  op1(e13, unit1) = e13
% 245.44/49.44    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (6)  op1(e13, e12) = e10
% 245.44/49.44    (7)  op1(e12, unit1) = e12
% 245.44/49.44    (8)   ~ (e13 = e12)
% 245.44/49.44    (9)  op1(e10, unit1) = e10
% 245.44/49.44    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.44    (11)   ~ (all_14_19 = e10)
% 245.44/49.44    (12)  op1(e10, e11) = all_14_19
% 245.44/49.44    (13)  op1(e13, e14) = e12
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | BETA: splitting (10) gives:
% 245.44/49.44  | 
% 245.44/49.44  | Case 1:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (14)  unit1 = e14
% 245.44/49.44  | | 
% 245.44/49.44  | | REDUCE: (4), (14) imply:
% 245.44/49.44  | |   (15)  op1(e13, e14) = e13
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (5), (8), (13), (15) are inconsistent by sub-proof #1227.
% 245.44/49.44  | | 
% 245.44/49.44  | Case 2:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (16)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.44/49.44  | | 
% 245.44/49.44  | | BETA: splitting (16) gives:
% 245.44/49.44  | | 
% 245.44/49.44  | | Case 1:
% 245.44/49.44  | | | 
% 245.44/49.44  | | |   (17)  unit1 = e12
% 245.44/49.44  | | | 
% 245.44/49.44  | | | REDUCE: (4), (17) imply:
% 245.44/49.44  | | |   (18)  op1(e13, e12) = e13
% 245.44/49.44  | | | 
% 245.44/49.44  | | | REF_CLOSE: (3), (5), (6), (18) are inconsistent by sub-proof #1334.
% 245.44/49.44  | | | 
% 245.44/49.44  | | Case 2:
% 245.44/49.44  | | | 
% 245.44/49.44  | | |   (19)  unit1 = e11 | unit1 = e10
% 245.44/49.44  | | | 
% 245.44/49.44  | | | BETA: splitting (19) gives:
% 245.44/49.44  | | | 
% 245.44/49.44  | | | Case 1:
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | |   (20)  unit1 = e11
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | REDUCE: (9), (20) imply:
% 245.44/49.44  | | | |   (21)  op1(e10, e11) = e10
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | REF_CLOSE: (5), (11), (12), (21) are inconsistent by sub-proof #1267.
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | Case 2:
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | |   (22)  unit1 = e10
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | REDUCE: (7), (22) imply:
% 245.44/49.44  | | | |   (23)  op1(e12, e10) = e12
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | GROUND_INST: instantiating (5) with e11, e12, e10, e12, simplifying with
% 245.44/49.44  | | | |              (1), (23) gives:
% 245.44/49.44  | | | |   (24)  e12 = e11
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | REDUCE: (2), (24) imply:
% 245.44/49.44  | | | |   (25)  $false
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | | CLOSE: (25) is inconsistent.
% 245.44/49.44  | | | | 
% 245.44/49.44  | | | End of split
% 245.44/49.44  | | | 
% 245.44/49.44  | | End of split
% 245.44/49.44  | | 
% 245.44/49.44  | End of split
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1053 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e10, e13) = e13
% 245.44/49.44    (2)  op1(e10, e13) = all_23_50
% 245.44/49.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (4)   ~ (all_23_50 = all_23_51)
% 245.44/49.44    (5)  op1(e13, e10) = all_23_51
% 245.44/49.44    (6)  op1(e13, e10) = e13
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e13, all_23_50, e13, e10, simplifying with
% 245.44/49.44  |              (1), (2) gives:
% 245.44/49.44  |   (7)  all_23_50 = e13
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e13, all_23_51, e10, e13, simplifying with
% 245.44/49.44  |              (5), (6) gives:
% 245.44/49.44  |   (8)  all_23_51 = e13
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (4), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1054 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  (all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~ (all_23_24 = all_23_25) &
% 245.44/49.44           op1(all_23_25, e13) = all_23_12 & op1(all_23_25, e12) = e13 & op1(e13,
% 245.44/49.44             e12) = all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_12) &
% 245.44/49.44           $i(all_23_24) & $i(all_23_25)) | (all_23_15 = e13 &  ~ (all_23_14 =
% 245.44/49.44             e11) &  ~ (all_23_36 = all_23_37) & op1(all_23_37, e13) = all_23_14 &
% 245.44/49.44           op1(all_23_37, e11) = e13 & op1(e13, e11) = all_23_37 & op1(e11, e13) =
% 245.44/49.44           all_23_36 & $i(all_23_14) & $i(all_23_36) & $i(all_23_37))
% 245.44/49.44    (2)  op1(e11, e13) = e14
% 245.44/49.44    (3)  op1(e13, e11) = e14
% 245.44/49.44    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (5)  op1(e13, e12) = e10
% 245.44/49.44    (6)  op1(e12, e13) = e10
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | BETA: splitting (1) gives:
% 245.44/49.44  | 
% 245.44/49.44  | Case 1:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (7)  all_23_13 = e13 &  ~ (all_23_12 = e12) &  ~ (all_23_24 = all_23_25) &
% 245.44/49.44  | |        op1(all_23_25, e13) = all_23_12 & op1(all_23_25, e12) = e13 &
% 245.44/49.44  | |        op1(e13, e12) = all_23_25 & op1(e12, e13) = all_23_24 & $i(all_23_12)
% 245.44/49.44  | |        & $i(all_23_24) & $i(all_23_25)
% 245.44/49.44  | | 
% 245.44/49.44  | | ALPHA: (7) implies:
% 245.44/49.44  | |   (8)   ~ (all_23_24 = all_23_25)
% 245.44/49.44  | |   (9)  op1(e12, e13) = all_23_24
% 245.44/49.44  | |   (10)  op1(e13, e12) = all_23_25
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (4), (5), (6), (8), (9), (10) are inconsistent by sub-proof
% 245.44/49.44  | |            #1056.
% 245.44/49.44  | | 
% 245.44/49.44  | Case 2:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (11)  all_23_15 = e13 &  ~ (all_23_14 = e11) &  ~ (all_23_36 = all_23_37)
% 245.44/49.44  | |         & op1(all_23_37, e13) = all_23_14 & op1(all_23_37, e11) = e13 &
% 245.44/49.44  | |         op1(e13, e11) = all_23_37 & op1(e11, e13) = all_23_36 &
% 245.44/49.44  | |         $i(all_23_14) & $i(all_23_36) & $i(all_23_37)
% 245.44/49.44  | | 
% 245.44/49.44  | | ALPHA: (11) implies:
% 245.44/49.44  | |   (12)   ~ (all_23_36 = all_23_37)
% 245.44/49.44  | |   (13)  op1(e11, e13) = all_23_36
% 245.44/49.44  | |   (14)  op1(e13, e11) = all_23_37
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (2), (3), (4), (12), (13), (14) are inconsistent by sub-proof
% 245.44/49.44  | |            #1055.
% 245.44/49.44  | | 
% 245.44/49.44  | End of split
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1055 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e11, e13) = all_23_36
% 245.44/49.44    (2)   ~ (all_23_36 = all_23_37)
% 245.44/49.44    (3)  op1(e11, e13) = e14
% 245.44/49.44    (4)  op1(e13, e11) = e14
% 245.44/49.44    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (6)  op1(e13, e11) = all_23_37
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (5) with e14, all_23_36, e13, e11, simplifying with
% 245.44/49.44  |              (1), (3) gives:
% 245.44/49.44  |   (7)  all_23_36 = e14
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (5) with e14, all_23_37, e11, e13, simplifying with
% 245.44/49.44  |              (4), (6) gives:
% 245.44/49.44  |   (8)  all_23_37 = e14
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (2), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1056 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (2)  op1(e13, e12) = e10
% 245.44/49.44    (3)   ~ (all_23_24 = all_23_25)
% 245.44/49.44    (4)  op1(e13, e12) = all_23_25
% 245.44/49.44    (5)  op1(e12, e13) = e10
% 245.44/49.44    (6)  op1(e12, e13) = all_23_24
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (1) with e10, all_23_24, e13, e12, simplifying with
% 245.44/49.44  |              (5), (6) gives:
% 245.44/49.44  |   (7)  all_23_24 = e10
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (1) with e10, all_23_25, e12, e13, simplifying with
% 245.44/49.44  |              (2), (4) gives:
% 245.44/49.44  |   (8)  all_23_25 = e10
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (3), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1057 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e10, e14) = e14
% 245.44/49.44    (2)  op1(e14, e10) = e14
% 245.44/49.44    (3)  (all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.44           op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.44             e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_6) &
% 245.44/49.44           $i(all_23_46) & $i(all_23_47)) | (all_23_9 = e13 &  ~ (all_23_8 = e14)
% 245.44/49.44           &  ~ (all_23_10 = all_23_11) & op1(all_23_10, e14) = e13 &
% 245.44/49.44           op1(all_23_10, e13) = all_23_8 & op1(e14, e13) = all_23_11 & op1(e13,
% 245.44/49.44             e14) = all_23_10 & $i(all_23_8) & $i(all_23_10) & $i(all_23_11))
% 245.44/49.44    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (5)  op1(e13, e14) = e12
% 245.44/49.44    (6)  op1(e14, e13) = e12
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | BETA: splitting (3) gives:
% 245.44/49.44  | 
% 245.44/49.44  | Case 1:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (7)  all_23_7 = e14 &  ~ (all_23_6 = e10) &  ~ (all_23_46 = all_23_47) &
% 245.44/49.44  | |        op1(all_23_47, e14) = all_23_6 & op1(all_23_47, e10) = e14 & op1(e14,
% 245.44/49.44  | |          e10) = all_23_47 & op1(e10, e14) = all_23_46 & $i(all_23_6) &
% 245.44/49.44  | |        $i(all_23_46) & $i(all_23_47)
% 245.44/49.44  | | 
% 245.44/49.44  | | ALPHA: (7) implies:
% 245.44/49.44  | |   (8)   ~ (all_23_46 = all_23_47)
% 245.44/49.44  | |   (9)  op1(e10, e14) = all_23_46
% 245.44/49.44  | |   (10)  op1(e14, e10) = all_23_47
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (1), (2), (4), (8), (9), (10) are inconsistent by sub-proof
% 245.44/49.44  | |            #1059.
% 245.44/49.44  | | 
% 245.44/49.44  | Case 2:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (11)  all_23_9 = e13 &  ~ (all_23_8 = e14) &  ~ (all_23_10 = all_23_11) &
% 245.44/49.44  | |         op1(all_23_10, e14) = e13 & op1(all_23_10, e13) = all_23_8 &
% 245.44/49.44  | |         op1(e14, e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_8)
% 245.44/49.44  | |         & $i(all_23_10) & $i(all_23_11)
% 245.44/49.44  | | 
% 245.44/49.44  | | ALPHA: (11) implies:
% 245.44/49.44  | |   (12)   ~ (all_23_10 = all_23_11)
% 245.44/49.44  | |   (13)  op1(e13, e14) = all_23_10
% 245.44/49.44  | |   (14)  op1(e14, e13) = all_23_11
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (4), (5), (6), (12), (13), (14) are inconsistent by sub-proof
% 245.44/49.44  | |            #1058.
% 245.44/49.44  | | 
% 245.44/49.44  | End of split
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1058 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)   ~ (all_23_10 = all_23_11)
% 245.44/49.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (3)  op1(e13, e14) = all_23_10
% 245.44/49.44    (4)  op1(e14, e13) = all_23_11
% 245.44/49.44    (5)  op1(e13, e14) = e12
% 245.44/49.44    (6)  op1(e14, e13) = e12
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e12, all_23_10, e14, e13, simplifying with
% 245.44/49.44  |              (3), (5) gives:
% 245.44/49.44  |   (7)  all_23_10 = e12
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e12, all_23_11, e13, e14, simplifying with
% 245.44/49.44  |              (4), (6) gives:
% 245.44/49.44  |   (8)  all_23_11 = e12
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (1), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1059 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e10, e14) = e14
% 245.44/49.44    (2)  op1(e14, e10) = e14
% 245.44/49.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (4)   ~ (all_23_46 = all_23_47)
% 245.44/49.44    (5)  op1(e10, e14) = all_23_46
% 245.44/49.44    (6)  op1(e14, e10) = all_23_47
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e14, all_23_46, e14, e10, simplifying with
% 245.44/49.44  |              (1), (5) gives:
% 245.44/49.44  |   (7)  all_23_46 = e14
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e14, all_23_47, e10, e14, simplifying with
% 245.44/49.44  |              (2), (6) gives:
% 245.44/49.44  |   (8)  all_23_47 = e14
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (4), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1060 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e14, e11) = all_23_33
% 245.44/49.44    (2)  op1(e11, e14) = all_23_32
% 245.44/49.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (4)  op1(e14, e11) = e10
% 245.44/49.44    (5)   ~ (all_23_32 = all_23_33)
% 245.44/49.44    (6)  op1(e11, e14) = e10
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e10, all_23_32, e14, e11, simplifying with
% 245.44/49.44  |              (2), (6) gives:
% 245.44/49.44  |   (7)  all_23_32 = e10
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (3) with e10, all_23_33, e11, e14, simplifying with
% 245.44/49.44  |              (1), (4) gives:
% 245.44/49.44  |   (8)  all_23_33 = e10
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (5), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1061 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  op1(e12, e14) = all_23_20
% 245.44/49.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (3)  op1(e14, e12) = all_23_21
% 245.44/49.44    (4)  op1(e14, e12) = e13
% 245.44/49.44    (5)  op1(e12, e14) = e13
% 245.44/49.44    (6)   ~ (all_23_20 = all_23_21)
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e13, all_23_20, e14, e12, simplifying with
% 245.44/49.44  |              (1), (5) gives:
% 245.44/49.44  |   (7)  all_23_20 = e13
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e13, all_23_21, e12, e14, simplifying with
% 245.44/49.44  |              (3), (4) gives:
% 245.44/49.44  |   (8)  all_23_21 = e13
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (6), (7), (8) imply:
% 245.44/49.44  |   (9)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (9) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1062 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)   ~ (e14 = e10)
% 245.44/49.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (3)  op1(e12, e13) = e10
% 245.44/49.44    (4)  all_23_1 = e14 &  ~ (all_23_0 = e13) &  ~ (all_23_10 = all_23_11) &
% 245.44/49.44         op1(all_23_11, e14) = all_23_0 & op1(all_23_11, e13) = e14 & op1(e14,
% 245.44/49.44           e13) = all_23_11 & op1(e13, e14) = all_23_10 & $i(all_23_0) &
% 245.44/49.44         $i(all_23_10) & $i(all_23_11)
% 245.44/49.44    (5)  op1(e14, e13) = e12
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | ALPHA: (4) implies:
% 245.44/49.44  |   (6)  op1(e14, e13) = all_23_11
% 245.44/49.44  |   (7)  op1(all_23_11, e13) = e14
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e12, all_23_11, e13, e14, simplifying with
% 245.44/49.44  |              (5), (6) gives:
% 245.44/49.44  |   (8)  all_23_11 = e12
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (7), (8) imply:
% 245.44/49.44  |   (9)  op1(e12, e13) = e14
% 245.44/49.44  | 
% 245.44/49.44  | GROUND_INST: instantiating (2) with e10, e14, e13, e12, simplifying with (3),
% 245.44/49.44  |              (9) gives:
% 245.44/49.44  |   (10)  e14 = e10
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (1), (10) imply:
% 245.44/49.44  |   (11)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (11) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1063 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)   ~ (e14 = e10)
% 245.44/49.44    (2)  all_25_1 = e12
% 245.44/49.44    (3)  all_25_4 = e13
% 245.44/49.44    (4)   ~ (e14 = e11)
% 245.44/49.44    (5)  all_25_3 = e11
% 245.44/49.44    (6)  op1(e10, e13) = e13
% 245.44/49.44    (7)   ~ (e14 = e13)
% 245.44/49.44    (8)  all_25_13 = e14
% 245.44/49.44    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (10)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.44/49.44    (11)  all_25_7 = e10
% 245.44/49.44    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.44/49.44            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.44/49.44            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.44/49.44    (13)   ~ (e14 = e12)
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | ALPHA: (10) implies:
% 245.44/49.44  |   (14)  all_25_4 = e14
% 245.44/49.44  | 
% 245.44/49.44  | COMBINE_EQS: (3), (14) imply:
% 245.44/49.44  |   (15)  e14 = e13
% 245.44/49.44  | 
% 245.44/49.44  | SIMP: (15) implies:
% 245.44/49.44  |   (16)  e14 = e13
% 245.44/49.44  | 
% 245.44/49.44  | COMBINE_EQS: (8), (16) imply:
% 245.44/49.44  |   (17)  all_25_13 = e13
% 245.44/49.44  | 
% 245.44/49.44  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (11), (12), (13), (17) are
% 245.44/49.44  |            inconsistent by sub-proof #1249.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1064 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.44/49.44    (2)  all_25_20 = e14
% 245.44/49.44    (3)   ~ (e14 = e11)
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | ALPHA: (1) implies:
% 245.44/49.44  |   (4)  all_25_20 = e11
% 245.44/49.44  | 
% 245.44/49.44  | COMBINE_EQS: (2), (4) imply:
% 245.44/49.44  |   (5)  e14 = e11
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (3), (5) imply:
% 245.44/49.44  |   (6)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (6) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1065 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  all_25_19 = e12
% 245.44/49.44    (2)  all_25_24 = e10
% 245.44/49.44    (3)   ~ (e12 = e11)
% 245.44/49.44    (4)   ~ (e11 = e10)
% 245.44/49.44    (5)  all_25_18 = e10
% 245.44/49.44    (6)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 & op1(e11,
% 245.44/49.44             e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | BETA: splitting (6) gives:
% 245.44/49.44  | 
% 245.44/49.44  | Case 1:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (7)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.44/49.44  | | 
% 245.44/49.44  | | ALPHA: (7) implies:
% 245.44/49.44  | |   (8)  all_25_18 = e11
% 245.44/49.44  | | 
% 245.44/49.44  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1066.
% 245.44/49.44  | | 
% 245.44/49.44  | Case 2:
% 245.44/49.44  | | 
% 245.44/49.44  | |   (9)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10,
% 245.44/49.44  | |            e10) = e11)
% 245.44/49.44  | | 
% 245.44/49.44  | | BETA: splitting (9) gives:
% 245.44/49.44  | | 
% 245.44/49.44  | | Case 1:
% 245.44/49.44  | | | 
% 245.44/49.44  | | |   (10)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.44/49.44  | | | 
% 245.44/49.44  | | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #1084.
% 245.44/49.44  | | | 
% 245.44/49.44  | | Case 2:
% 245.44/49.44  | | | 
% 245.44/49.44  | | |   (11)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.44/49.44  | | | 
% 245.44/49.44  | | | REF_CLOSE: (2), (4), (11) are inconsistent by sub-proof #1259.
% 245.44/49.44  | | | 
% 245.44/49.44  | | End of split
% 245.44/49.44  | | 
% 245.44/49.44  | End of split
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1066 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)  all_25_18 = e11
% 245.44/49.44    (2)  all_25_18 = e10
% 245.44/49.44    (3)   ~ (e11 = e10)
% 245.44/49.44  
% 245.44/49.44  Begin of proof
% 245.44/49.44  | 
% 245.44/49.44  | COMBINE_EQS: (1), (2) imply:
% 245.44/49.44  |   (4)  e11 = e10
% 245.44/49.44  | 
% 245.44/49.44  | SIMP: (4) implies:
% 245.44/49.44  |   (5)  e11 = e10
% 245.44/49.44  | 
% 245.44/49.44  | REDUCE: (3), (5) imply:
% 245.44/49.44  |   (6)  $false
% 245.44/49.44  | 
% 245.44/49.44  | CLOSE: (6) is inconsistent.
% 245.44/49.44  | 
% 245.44/49.44  End of proof
% 245.44/49.44  
% 245.44/49.44  Sub-proof #1067 shows that the following formulas are inconsistent:
% 245.44/49.44  ----------------------------------------------------------------
% 245.44/49.44    (1)   ~ (e14 = e10)
% 245.44/49.44    (2)  all_25_2 = e12
% 245.44/49.44    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.44/49.44           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.44/49.44           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.44/49.44    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.44/49.44           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.44/49.44           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.44/49.44    (5)   ~ (e12 = e11)
% 245.44/49.44    (6)   ~ (e14 = e11)
% 245.44/49.44    (7)   ~ (e13 = e10)
% 245.44/49.44    (8)   ~ (e14 = e13)
% 245.44/49.44    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.44/49.44           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.44/49.44    (10)   ~ (e13 = e11)
% 245.44/49.44    (11)  op1(e13, e12) = e10
% 245.44/49.44    (12)   ~ (e11 = e10)
% 245.44/49.44    (13)   ~ (e13 = e12)
% 245.44/49.44    (14)  op1(e13, e13) = e11
% 245.44/49.44    (15)   ~ (e12 = e10)
% 245.44/49.44    (16)  all_25_8 = e12
% 245.44/49.44    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.44/49.44            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.44/49.44            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.44    (18)  all_25_8 = e10
% 245.51/49.44    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.44            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.44            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.44    (20)   ~ (e14 = e12)
% 245.51/49.44  
% 245.51/49.44  Begin of proof
% 245.51/49.44  | 
% 245.51/49.44  | COMBINE_EQS: (16), (18) imply:
% 245.51/49.44  |   (21)  e12 = e10
% 245.51/49.44  | 
% 245.51/49.44  | SIMP: (21) implies:
% 245.51/49.44  |   (22)  e12 = e10
% 245.51/49.44  | 
% 245.51/49.44  | COMBINE_EQS: (2), (22) imply:
% 245.51/49.44  |   (23)  all_25_2 = e10
% 245.51/49.44  | 
% 245.51/49.44  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.51/49.44  |            (14), (15), (17), (19), (20), (23) are inconsistent by sub-proof
% 245.51/49.44  |            #1281.
% 245.51/49.44  | 
% 245.51/49.44  End of proof
% 245.51/49.44  
% 245.51/49.44  Sub-proof #1068 shows that the following formulas are inconsistent:
% 245.51/49.44  ----------------------------------------------------------------
% 245.51/49.44    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.44             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.44           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.44    (2)   ~ (e14 = e10)
% 245.51/49.44    (3)  all_25_14 = e12
% 245.51/49.44    (4)  op1(e10, e13) = all_14_9
% 245.51/49.44    (5)  all_25_2 = e12
% 245.51/49.44    (6)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.44           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.44           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.44    (7)  all_25_19 = e12
% 245.51/49.44    (8)  all_25_1 = e12
% 245.51/49.44    (9)  op1(e14, unit1) = e14
% 245.51/49.44    (10)  all_25_24 = e10
% 245.51/49.44    (11)  all_25_4 = e13
% 245.51/49.44    (12)   ~ (all_14_12 = e13)
% 245.51/49.44    (13)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.44            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.44            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.44    (14)   ~ (e12 = e11)
% 245.51/49.44    (15)   ~ (e14 = e11)
% 245.51/49.44    (16)  all_25_3 = e11
% 245.51/49.44    (17)  op1(e10, e13) = e13
% 245.51/49.44    (18)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.51/49.44            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.44            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.44    (19)   ~ (e13 = e10)
% 245.51/49.44    (20)  op1(e11, e12) = all_14_13
% 245.51/49.44    (21)  op1(e10, e12) = e14
% 245.51/49.44    (22)   ~ (e14 = e13)
% 245.51/49.44    (23)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.44            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.44            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.44    (24)  op1(e13, unit1) = e13
% 245.51/49.44    (25)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.51/49.44            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.51/49.44            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.51/49.44    (26)  op1(e13, e11) = e14
% 245.51/49.44    (27)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.51/49.44              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.51/49.44            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.44    (28)  all_25_21 = e13
% 245.51/49.44    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.44            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.44    (30)  all_25_15 = e13
% 245.51/49.44    (31)   ~ (e13 = e11)
% 245.51/49.44    (32)  op1(e13, e12) = e10
% 245.51/49.44    (33)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.51/49.44              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.51/49.44            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.51/49.45    (34)  op1(e10, e14) = e12
% 245.51/49.45    (35)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.51/49.45              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.51/49.45            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.51/49.45    (36)   ~ (e11 = e10)
% 245.51/49.45    (37)   ~ (all_14_13 = e10)
% 245.51/49.45    (38)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.51/49.45            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.51/49.45            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.45    (39)  all_25_22 = e14
% 245.51/49.45    (40)   ~ (e13 = e12)
% 245.51/49.45    (41)  op1(e13, e13) = e11
% 245.51/49.45    (42)   ~ (all_14_13 = e13)
% 245.51/49.45    (43)   ~ (e12 = e10)
% 245.51/49.45    (44)   ~ (all_14_9 = e12)
% 245.51/49.45    (45)  all_25_6 = e13
% 245.51/49.45    (46)   ~ (all_14_14 = e13)
% 245.51/49.45    (47)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.51/49.45            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.51/49.45            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.51/49.45    (48)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.45    (49)   ~ (all_14_19 = e13)
% 245.51/49.45    (50)  op1(e14, e10) = all_14_20
% 245.51/49.45    (51)  op1(e12, e12) = all_14_12
% 245.51/49.45    (52)  op1(e10, unit1) = e10
% 245.51/49.45    (53)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.45    (54)  op1(unit1, e14) = e14
% 245.51/49.45    (55)  op1(e14, e12) = all_14_10
% 245.51/49.45    (56)   ~ (all_14_10 = e12)
% 245.51/49.45    (57)   ~ (all_14_20 = e10)
% 245.51/49.45    (58)   ~ (all_14_19 = e10)
% 245.51/49.45    (59)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.51/49.45            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.51/49.45            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.45    (60)  op1(unit1, e12) = e12
% 245.51/49.45    (61)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.51/49.45              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.51/49.45            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.51/49.45    (62)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.45    (63)  op1(e10, e11) = all_14_19
% 245.51/49.45    (64)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.45            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.45            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.51/49.45    (65)  op1(e10, e12) = all_14_14
% 245.51/49.45    (66)  op1(e13, e14) = e12
% 245.51/49.45    (67)   ~ (e14 = e12)
% 245.51/49.45    (68)  all_25_17 = e13
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (27) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (69)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 245.51/49.45  | |           op1(e11, e13) = e11)
% 245.51/49.45  | | 
% 245.51/49.45  | | BETA: splitting (69) gives:
% 245.51/49.45  | | 
% 245.51/49.45  | | Case 1:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (70)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.51/49.45  | | | 
% 245.51/49.45  | | | ALPHA: (70) implies:
% 245.51/49.45  | | |   (71)  all_25_12 = e11
% 245.51/49.45  | | | 
% 245.51/49.45  | | | BETA: splitting (38) gives:
% 245.51/49.45  | | | 
% 245.51/49.45  | | | Case 1:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (72)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 245.51/49.45  | | | |           op1(e13, e14) = e14)
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | REF_CLOSE: (2), (5), (6), (8), (9), (11), (12), (13), (14), (15), (16),
% 245.51/49.45  | | | |            (18), (19), (20), (22), (23), (24), (25), (26), (29), (31),
% 245.51/49.45  | | | |            (32), (34), (36), (40), (41), (42), (43), (46), (48), (50),
% 245.51/49.45  | | | |            (51), (52), (53), (54), (55), (56), (57), (58), (60), (62),
% 245.51/49.45  | | | |            (63), (65), (67), (68), (72) are inconsistent by sub-proof
% 245.51/49.45  | | | |            #1077.
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | Case 2:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (73)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.51/49.45  | | | |           op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | BETA: splitting (73) gives:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | Case 1:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | |   (74)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | REF_CLOSE: (22), (45), (74) are inconsistent by sub-proof #1184.
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | Case 2:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | |   (75)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.51/49.45  | | | | |           op1(e10, e14) = e14)
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | BETA: splitting (75) gives:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | Case 1:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | |   (76)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | REF_CLOSE: (15), (71), (76) are inconsistent by sub-proof #1183.
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | Case 2:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | |   (77)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | ALPHA: (77) implies:
% 245.51/49.45  | | | | | |   (78)  all_25_20 = e14
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (11), (12), (13), (14),
% 245.51/49.45  | | | | | |            (15), (19), (20), (21), (22), (23), (24), (28), (29),
% 245.51/49.45  | | | | | |            (31), (32), (35), (36), (39), (40), (41), (42), (43),
% 245.51/49.45  | | | | | |            (44), (46), (48), (51), (52), (53), (54), (55), (56),
% 245.51/49.45  | | | | | |            (58), (60), (62), (63), (65), (66), (67), (78) are
% 245.51/49.45  | | | | | |            inconsistent by sub-proof #1072.
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | End of split
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | End of split
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | End of split
% 245.51/49.45  | | | 
% 245.51/49.45  | | Case 2:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (79)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.51/49.45  | | | 
% 245.51/49.45  | | | ALPHA: (79) implies:
% 245.51/49.45  | | |   (80)  all_25_13 = e11
% 245.51/49.45  | | | 
% 245.51/49.45  | | | BETA: splitting (33) gives:
% 245.51/49.45  | | | 
% 245.51/49.45  | | | Case 1:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (81)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 245.51/49.45  | | | |           op1(e11, e13) = e10)
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | BETA: splitting (81) gives:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | Case 1:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | |   (82)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | ALPHA: (82) implies:
% 245.51/49.45  | | | | |   (83)  all_25_12 = e10
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | BETA: splitting (64) gives:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | Case 1:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | |   (84)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 &
% 245.51/49.45  | | | | | |           op1(e13, e13) = e14)
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | BETA: splitting (84) gives:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | Case 1:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | |   (85)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | REF_CLOSE: (8), (67), (85) are inconsistent by sub-proof #1292.
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | Case 2:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | |   (86)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | REF_CLOSE: (15), (16), (86) are inconsistent by sub-proof #1291.
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | End of split
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | Case 2:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | |   (87)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.45  | | | | | |           op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) =
% 245.51/49.45  | | | | | |           e14)
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | BETA: splitting (87) gives:
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | | Case 1:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | |   (88)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | ALPHA: (88) implies:
% 245.51/49.45  | | | | | | |   (89)  all_25_7 = e14
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | BETA: splitting (38) gives:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | Case 1:
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | |   (90)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14
% 245.51/49.45  | | | | | | | |           & op1(e13, e14) = e14)
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (9), (11), (12), (13), (14),
% 245.51/49.45  | | | | | | | |            (15), (16), (18), (19), (20), (22), (23), (24), (25),
% 245.51/49.45  | | | | | | | |            (26), (29), (31), (32), (34), (36), (40), (41), (42),
% 245.51/49.45  | | | | | | | |            (43), (46), (48), (50), (51), (52), (53), (54), (55),
% 245.51/49.45  | | | | | | | |            (56), (57), (58), (60), (62), (63), (65), (67), (68),
% 245.51/49.45  | | | | | | | |            (90) are inconsistent by sub-proof #1077.
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | Case 2:
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | |   (91)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 =
% 245.51/49.45  | | | | | | | |           e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.51/49.45  | | | | | | | |           op1(e10, e14) = e14)
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | BETA: splitting (91) gives:
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | Case 1:
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | |   (92)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | ALPHA: (92) implies:
% 245.51/49.45  | | | | | | | | |   (93)  all_25_6 = e14
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | COMBINE_EQS: (45), (93) imply:
% 245.51/49.45  | | | | | | | | |   (94)  e14 = e13
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | SIMP: (94) implies:
% 245.51/49.45  | | | | | | | | |   (95)  e14 = e13
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | COMBINE_EQS: (89), (95) imply:
% 245.51/49.45  | | | | | | | | |   (96)  all_25_7 = e13
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | REF_CLOSE: (2), (5), (6), (8), (11), (12), (13), (14), (15),
% 245.51/49.45  | | | | | | | | |            (16), (17), (19), (20), (22), (23), (28), (29),
% 245.51/49.45  | | | | | | | | |            (31), (32), (36), (40), (41), (42), (43), (46),
% 245.51/49.45  | | | | | | | | |            (48), (51), (59), (62), (64), (65), (67), (68),
% 245.51/49.45  | | | | | | | | |            (96) are inconsistent by sub-proof #1118.
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | Case 2:
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | |   (97)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 =
% 245.51/49.45  | | | | | | | | |           e14 & op1(e10, e14) = e14)
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | BETA: splitting (97) gives:
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | Case 1:
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | |   (98)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | ALPHA: (98) implies:
% 245.51/49.45  | | | | | | | | | |   (99)  all_25_12 = e14
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | COMBINE_EQS: (83), (99) imply:
% 245.51/49.45  | | | | | | | | | |   (100)  e14 = e10
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | SIMP: (100) implies:
% 245.51/49.45  | | | | | | | | | |   (101)  e14 = e10
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | COMBINE_EQS: (89), (101) imply:
% 245.51/49.45  | | | | | | | | | |   (102)  all_25_7 = e10
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | REF_CLOSE: (2), (8), (15), (16), (17), (22), (29), (64),
% 245.51/49.45  | | | | | | | | | |            (67), (80), (102) are inconsistent by sub-proof
% 245.51/49.45  | | | | | | | | | |            #1169.
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | Case 2:
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | |   (103)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | ALPHA: (103) implies:
% 245.51/49.45  | | | | | | | | | |   (104)  all_25_20 = e14
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (11), (12), (13),
% 245.51/49.45  | | | | | | | | | |            (14), (15), (19), (20), (21), (22), (23), (24),
% 245.51/49.45  | | | | | | | | | |            (28), (29), (31), (32), (35), (36), (39), (40),
% 245.51/49.45  | | | | | | | | | |            (41), (42), (43), (44), (46), (48), (51), (52),
% 245.51/49.45  | | | | | | | | | |            (53), (54), (55), (56), (58), (60), (62), (63),
% 245.51/49.45  | | | | | | | | | |            (65), (66), (67), (104) are inconsistent by
% 245.51/49.45  | | | | | | | | | |            sub-proof #1072.
% 245.51/49.45  | | | | | | | | | | 
% 245.51/49.45  | | | | | | | | | End of split
% 245.51/49.45  | | | | | | | | | 
% 245.51/49.45  | | | | | | | | End of split
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | End of split
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | Case 2:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | |   (105)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 =
% 245.51/49.45  | | | | | | |            e14 & op1(e10, e13) = e14)
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | BETA: splitting (105) gives:
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | | Case 1:
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | |   (106)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | ALPHA: (106) implies:
% 245.51/49.45  | | | | | | | |   (107)  all_25_13 = e14
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | REF_CLOSE: (15), (80), (107) are inconsistent by sub-proof
% 245.51/49.45  | | | | | | | |            #1170.
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | Case 2:
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | |   (108)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | ALPHA: (108) implies:
% 245.51/49.45  | | | | | | | |   (109)  op1(e10, e13) = e14
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | | REF_CLOSE: (2), (5), (6), (10), (14), (15), (16), (19), (22),
% 245.51/49.45  | | | | | | | |            (26), (29), (31), (32), (36), (38), (40), (41), (43),
% 245.51/49.45  | | | | | | | |            (45), (46), (47), (48), (49), (61), (62), (63), (65),
% 245.51/49.45  | | | | | | | |            (67), (68), (83), (109) are inconsistent by sub-proof
% 245.51/49.45  | | | | | | | |            #1176.
% 245.51/49.45  | | | | | | | | 
% 245.51/49.45  | | | | | | | End of split
% 245.51/49.45  | | | | | | | 
% 245.51/49.45  | | | | | | End of split
% 245.51/49.45  | | | | | | 
% 245.51/49.45  | | | | | End of split
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | Case 2:
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | |   (110)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | | REF_CLOSE: (36), (80), (110) are inconsistent by sub-proof #1069.
% 245.51/49.45  | | | | | 
% 245.51/49.45  | | | | End of split
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | Case 2:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (111)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 245.51/49.45  | | | |            op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) =
% 245.51/49.45  | | | |            e10)
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | REF_CLOSE: (2), (5), (6), (7), (11), (12), (13), (14), (15), (16), (19),
% 245.51/49.45  | | | |            (20), (22), (23), (29), (30), (31), (32), (36), (37), (40),
% 245.51/49.45  | | | |            (41), (42), (43), (46), (48), (51), (62), (65), (67), (68),
% 245.51/49.45  | | | |            (111) are inconsistent by sub-proof #1070.
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | End of split
% 245.51/49.45  | | | 
% 245.51/49.45  | | End of split
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (112)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 245.51/49.45  | |            op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.45  | | 
% 245.51/49.45  | | BETA: splitting (112) gives:
% 245.51/49.45  | | 
% 245.51/49.45  | | Case 1:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (113)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (3), (14), (113) are inconsistent by sub-proof #1108.
% 245.51/49.45  | | | 
% 245.51/49.45  | | Case 2:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (114)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 245.51/49.45  | | |            op1(e11, e10) = e11)
% 245.51/49.45  | | | 
% 245.51/49.45  | | | BETA: splitting (114) gives:
% 245.51/49.45  | | | 
% 245.51/49.45  | | | Case 1:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (115)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | REF_CLOSE: (11), (12), (19), (20), (23), (29), (30), (31), (32), (42),
% 245.51/49.45  | | | |            (46), (51), (65), (115) are inconsistent by sub-proof #1107.
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | Case 2:
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | |   (116)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | | REF_CLOSE: (7), (14), (116) are inconsistent by sub-proof #1084.
% 245.51/49.45  | | | | 
% 245.51/49.45  | | | End of split
% 245.51/49.45  | | | 
% 245.51/49.45  | | End of split
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1069 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.51/49.45    (2)  all_25_13 = e11
% 245.51/49.45    (3)   ~ (e11 = e10)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | ALPHA: (1) implies:
% 245.51/49.45  |   (4)  all_25_13 = e10
% 245.51/49.45  | 
% 245.51/49.45  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.45  |   (5)  e11 = e10
% 245.51/49.45  | 
% 245.51/49.45  | REDUCE: (3), (5) imply:
% 245.51/49.45  |   (6)  $false
% 245.51/49.45  | 
% 245.51/49.45  | CLOSE: (6) is inconsistent.
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1070 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)   ~ (e14 = e10)
% 245.51/49.45    (2)  all_25_2 = e12
% 245.51/49.45    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.45    (4)  all_25_19 = e12
% 245.51/49.45    (5)  all_25_4 = e13
% 245.51/49.45    (6)   ~ (all_14_12 = e13)
% 245.51/49.45    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.45           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.45           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.45    (8)   ~ (e12 = e11)
% 245.51/49.45    (9)   ~ (e14 = e11)
% 245.51/49.45    (10)  all_25_3 = e11
% 245.51/49.45    (11)   ~ (e13 = e10)
% 245.51/49.45    (12)  op1(e11, e12) = all_14_13
% 245.51/49.45    (13)   ~ (e14 = e13)
% 245.51/49.45    (14)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.45            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.45            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.45    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (16)  all_25_15 = e13
% 245.51/49.45    (17)   ~ (e13 = e11)
% 245.51/49.45    (18)  op1(e13, e12) = e10
% 245.51/49.45    (19)   ~ (e11 = e10)
% 245.51/49.45    (20)   ~ (all_14_13 = e10)
% 245.51/49.45    (21)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 & op1(e11,
% 245.51/49.45              e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.51/49.45    (22)   ~ (e13 = e12)
% 245.51/49.45    (23)  op1(e13, e13) = e11
% 245.51/49.45    (24)   ~ (all_14_13 = e13)
% 245.51/49.45    (25)   ~ (e12 = e10)
% 245.51/49.45    (26)   ~ (all_14_14 = e13)
% 245.51/49.45    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.45    (28)  op1(e12, e12) = all_14_12
% 245.51/49.45    (29)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.45    (30)  op1(e10, e12) = all_14_14
% 245.51/49.45    (31)   ~ (e14 = e12)
% 245.51/49.45    (32)  all_25_17 = e13
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (21) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (33)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.51/49.45  | | 
% 245.51/49.45  | | ALPHA: (33) implies:
% 245.51/49.45  | |   (34)  op1(e11, e12) = e10
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (12), (15), (20), (34) are inconsistent by sub-proof #1158.
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (35)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 245.51/49.45  | |           op1(e11, e10) = e10)
% 245.51/49.45  | | 
% 245.51/49.45  | | BETA: splitting (35) gives:
% 245.51/49.45  | | 
% 245.51/49.45  | | Case 1:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (36)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (11), (12), (13), (14),
% 245.51/49.45  | | |            (15), (16), (17), (18), (22), (23), (24), (26), (28), (29),
% 245.51/49.45  | | |            (30), (31), (32), (36) are inconsistent by sub-proof #1157.
% 245.51/49.45  | | | 
% 245.51/49.45  | | Case 2:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (37)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.51/49.45  | | | 
% 245.51/49.45  | | | ALPHA: (37) implies:
% 245.51/49.45  | | |   (38)  all_25_19 = e10
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (13), (15), (17),
% 245.51/49.45  | | |            (18), (19), (22), (23), (25), (27), (29), (31), (38) are
% 245.51/49.45  | | |            inconsistent by sub-proof #1071.
% 245.51/49.45  | | | 
% 245.51/49.45  | | End of split
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1071 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)   ~ (e14 = e10)
% 245.51/49.45    (2)  all_25_2 = e12
% 245.51/49.45    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.45    (4)  all_25_19 = e12
% 245.51/49.45    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.45           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.45           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.45    (6)   ~ (e12 = e11)
% 245.51/49.45    (7)   ~ (e14 = e11)
% 245.51/49.45    (8)   ~ (e13 = e10)
% 245.51/49.45    (9)   ~ (e14 = e13)
% 245.51/49.45    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (11)   ~ (e13 = e11)
% 245.51/49.45    (12)  op1(e13, e12) = e10
% 245.51/49.45    (13)   ~ (e11 = e10)
% 245.51/49.45    (14)   ~ (e13 = e12)
% 245.51/49.45    (15)  op1(e13, e13) = e11
% 245.51/49.45    (16)   ~ (e12 = e10)
% 245.51/49.45    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.45    (18)  all_25_19 = e10
% 245.51/49.45    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.45    (20)   ~ (e14 = e12)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | COMBINE_EQS: (4), (18) imply:
% 245.51/49.45  |   (21)  e12 = e10
% 245.51/49.45  | 
% 245.51/49.45  | SIMP: (21) implies:
% 245.51/49.45  |   (22)  e12 = e10
% 245.51/49.45  | 
% 245.51/49.45  | COMBINE_EQS: (2), (22) imply:
% 245.51/49.45  |   (23)  all_25_2 = e10
% 245.51/49.45  | 
% 245.51/49.45  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.51/49.45  |            (15), (16), (17), (19), (20), (23) are inconsistent by sub-proof
% 245.51/49.45  |            #1281.
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1072 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.45             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.45           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.45    (2)   ~ (e14 = e10)
% 245.51/49.45    (3)  op1(e10, e13) = all_14_9
% 245.51/49.45    (4)  all_25_2 = e12
% 245.51/49.45    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.45           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.45           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.45    (6)  all_25_24 = e10
% 245.51/49.45    (7)  all_25_4 = e13
% 245.51/49.45    (8)  all_25_20 = e14
% 245.51/49.45    (9)   ~ (all_14_12 = e13)
% 245.51/49.45    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.45            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.45            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.45    (11)   ~ (e12 = e11)
% 245.51/49.45    (12)   ~ (e14 = e11)
% 245.51/49.45    (13)   ~ (e13 = e10)
% 245.51/49.45    (14)  op1(e11, e12) = all_14_13
% 245.51/49.45    (15)  op1(e10, e12) = e14
% 245.51/49.45    (16)   ~ (e14 = e13)
% 245.51/49.45    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.45            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.45            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.45    (18)  op1(e13, unit1) = e13
% 245.51/49.45    (19)  all_25_21 = e13
% 245.51/49.45    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (21)   ~ (e13 = e11)
% 245.51/49.45    (22)  op1(e13, e12) = e10
% 245.51/49.45    (23)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.51/49.45              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.51/49.45            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.51/49.45    (24)   ~ (e11 = e10)
% 245.51/49.45    (25)  all_25_22 = e14
% 245.51/49.45    (26)   ~ (e13 = e12)
% 245.51/49.45    (27)  op1(e13, e13) = e11
% 245.51/49.45    (28)   ~ (all_14_13 = e13)
% 245.51/49.45    (29)   ~ (e12 = e10)
% 245.51/49.45    (30)   ~ (all_14_9 = e12)
% 245.51/49.45    (31)   ~ (all_14_14 = e13)
% 245.51/49.45    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.45            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.45            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.45    (33)  op1(e12, e12) = all_14_12
% 245.51/49.45    (34)  op1(e10, unit1) = e10
% 245.51/49.45    (35)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.45    (36)  op1(unit1, e14) = e14
% 245.51/49.45    (37)  op1(e14, e12) = all_14_10
% 245.51/49.45    (38)   ~ (all_14_10 = e12)
% 245.51/49.45    (39)   ~ (all_14_19 = e10)
% 245.51/49.45    (40)  op1(unit1, e12) = e12
% 245.51/49.45    (41)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.45            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.45            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.45    (42)  op1(e10, e11) = all_14_19
% 245.51/49.45    (43)  op1(e10, e12) = all_14_14
% 245.51/49.45    (44)  op1(e13, e14) = e12
% 245.51/49.45    (45)   ~ (e14 = e12)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (23) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (46)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 245.51/49.45  | |           op1(e10, e13) = e12)
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (3), (8), (20), (30), (45), (46) are inconsistent by sub-proof
% 245.51/49.45  | |            #1073.
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (47)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 245.51/49.45  | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.51/49.45  | | 
% 245.51/49.45  | | BETA: splitting (47) gives:
% 245.51/49.45  | | 
% 245.51/49.45  | | Case 1:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (48)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (25), (45), (48) are inconsistent by sub-proof #1263.
% 245.51/49.45  | | | 
% 245.51/49.45  | | Case 2:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (49)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 245.51/49.45  | | |           op1(e10, e10) = e12)
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 245.51/49.45  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 245.51/49.45  | | |            (26), (27), (28), (29), (31), (32), (33), (34), (35), (36),
% 245.51/49.45  | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (49) are
% 245.51/49.45  | | |            inconsistent by sub-proof #1198.
% 245.51/49.45  | | | 
% 245.51/49.45  | | End of split
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1073 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)  op1(e10, e13) = all_14_9
% 245.51/49.45    (2)  all_25_20 = e14
% 245.51/49.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (4)   ~ (all_14_9 = e12)
% 245.51/49.45    (5)   ~ (e14 = e12)
% 245.51/49.45    (6)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.51/49.45             e13) = e12)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (6) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (7)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.51/49.45  | | 
% 245.51/49.45  | | ALPHA: (7) implies:
% 245.51/49.45  | |   (8)  all_25_20 = e12
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1082.
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (9)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1265.
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1074 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)   ~ (e14 = e10)
% 245.51/49.45    (2)  all_25_19 = e12
% 245.51/49.45    (3)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.51/49.45             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.51/49.45           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.45    (4)   ~ (e14 = e11)
% 245.51/49.45    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (6)  all_25_13 = e10
% 245.51/49.45    (7)  all_25_12 = e10
% 245.51/49.45    (8)   ~ (all_14_18 = e14)
% 245.51/49.45    (9)  all_25_14 = e11
% 245.51/49.45    (10)  op1(e11, e11) = all_14_18
% 245.51/49.45    (11)   ~ (e14 = e12)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (3) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (12)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 245.51/49.45  | |           op1(e11, e13) = e14)
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (1), (6), (7), (12) are inconsistent by sub-proof #1099.
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (13)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 245.51/49.45  | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.45  | | 
% 245.51/49.45  | | BETA: splitting (13) gives:
% 245.51/49.45  | | 
% 245.51/49.45  | | Case 1:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (14)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #1076.
% 245.51/49.45  | | | 
% 245.51/49.45  | | Case 2:
% 245.51/49.45  | | | 
% 245.51/49.45  | | |   (15)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 245.51/49.45  | | |           op1(e11, e10) = e14)
% 245.51/49.45  | | | 
% 245.51/49.45  | | | REF_CLOSE: (2), (5), (8), (10), (11), (15) are inconsistent by sub-proof
% 245.51/49.45  | | |            #1075.
% 245.51/49.45  | | | 
% 245.51/49.45  | | End of split
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1075 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)  all_25_19 = e12
% 245.51/49.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.45           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.45    (3)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11,
% 245.51/49.45             e10) = e14)
% 245.51/49.45    (4)   ~ (all_14_18 = e14)
% 245.51/49.45    (5)  op1(e11, e11) = all_14_18
% 245.51/49.45    (6)   ~ (e14 = e12)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | BETA: splitting (3) gives:
% 245.51/49.45  | 
% 245.51/49.45  | Case 1:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (7)  all_25_15 = e14 & op1(e11, e11) = e14
% 245.51/49.45  | | 
% 245.51/49.45  | | ALPHA: (7) implies:
% 245.51/49.45  | |   (8)  op1(e11, e11) = e14
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1098.
% 245.51/49.45  | | 
% 245.51/49.45  | Case 2:
% 245.51/49.45  | | 
% 245.51/49.45  | |   (9)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.45  | | 
% 245.51/49.45  | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1087.
% 245.51/49.45  | | 
% 245.51/49.45  | End of split
% 245.51/49.45  | 
% 245.51/49.45  End of proof
% 245.51/49.45  
% 245.51/49.45  Sub-proof #1076 shows that the following formulas are inconsistent:
% 245.51/49.45  ----------------------------------------------------------------
% 245.51/49.45    (1)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.51/49.45    (2)  all_25_14 = e11
% 245.51/49.45    (3)   ~ (e14 = e11)
% 245.51/49.45  
% 245.51/49.45  Begin of proof
% 245.51/49.45  | 
% 245.51/49.45  | ALPHA: (1) implies:
% 245.51/49.45  |   (4)  all_25_14 = e14
% 245.51/49.45  | 
% 245.51/49.45  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e14 = e11
% 245.51/49.46  | 
% 245.51/49.46  | SIMP: (5) implies:
% 245.51/49.46  |   (6)  e14 = e11
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (6) imply:
% 245.51/49.46  |   (7)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (7) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1077 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)   ~ (e14 = e10)
% 245.51/49.46    (2)  all_25_2 = e12
% 245.51/49.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.46    (4)  all_25_1 = e12
% 245.51/49.46    (5)  op1(e14, unit1) = e14
% 245.51/49.46    (6)  all_25_4 = e13
% 245.51/49.46    (7)   ~ (all_14_12 = e13)
% 245.51/49.46    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.46           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.46           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.46    (9)   ~ (e12 = e11)
% 245.51/49.46    (10)   ~ (e14 = e11)
% 245.51/49.46    (11)  all_25_3 = e11
% 245.51/49.46    (12)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.51/49.46            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.46            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.46    (13)   ~ (e13 = e10)
% 245.51/49.46    (14)  op1(e11, e12) = all_14_13
% 245.51/49.46    (15)   ~ (e14 = e13)
% 245.51/49.46    (16)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.51/49.46            = e14)
% 245.51/49.46    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.46            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.46            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.46    (18)  op1(e13, unit1) = e13
% 245.51/49.46    (19)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.51/49.46            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.51/49.46            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.51/49.46    (20)  op1(e13, e11) = e14
% 245.51/49.46    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (22)   ~ (e13 = e11)
% 245.51/49.46    (23)  op1(e13, e12) = e10
% 245.51/49.46    (24)  op1(e10, e14) = e12
% 245.51/49.46    (25)   ~ (e11 = e10)
% 245.51/49.46    (26)   ~ (e13 = e12)
% 245.51/49.46    (27)  op1(e13, e13) = e11
% 245.51/49.46    (28)   ~ (all_14_13 = e13)
% 245.51/49.46    (29)   ~ (e12 = e10)
% 245.51/49.46    (30)   ~ (all_14_14 = e13)
% 245.51/49.46    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.46    (32)  op1(e14, e10) = all_14_20
% 245.51/49.46    (33)  op1(e12, e12) = all_14_12
% 245.51/49.46    (34)  op1(e10, unit1) = e10
% 245.51/49.46    (35)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.46    (36)  op1(unit1, e14) = e14
% 245.51/49.46    (37)  op1(e14, e12) = all_14_10
% 245.51/49.46    (38)   ~ (all_14_10 = e12)
% 245.51/49.46    (39)   ~ (all_14_20 = e10)
% 245.51/49.46    (40)   ~ (all_14_19 = e10)
% 245.51/49.46    (41)  op1(unit1, e12) = e12
% 245.51/49.46    (42)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.46    (43)  op1(e10, e11) = all_14_19
% 245.51/49.46    (44)  op1(e10, e12) = all_14_14
% 245.51/49.46    (45)   ~ (e14 = e12)
% 245.51/49.46    (46)  all_25_17 = e13
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (16) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (47)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.51/49.46  | | 
% 245.51/49.46  | | ALPHA: (47) implies:
% 245.51/49.46  | |   (48)  all_25_0 = e14
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (12) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (49)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 245.51/49.46  | | |           op1(e14, e13) = e11)
% 245.51/49.46  | | | 
% 245.51/49.46  | | | BETA: splitting (49) gives:
% 245.51/49.46  | | | 
% 245.51/49.46  | | | Case 1:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (50)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (10), (48), (50) are inconsistent by sub-proof #1078.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | Case 2:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (51)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (4), (9), (51) are inconsistent by sub-proof #1240.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | End of split
% 245.51/49.46  | | | 
% 245.51/49.46  | | Case 2:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (52)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.46  | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.46  | | | 
% 245.51/49.46  | | | BETA: splitting (52) gives:
% 245.51/49.46  | | | 
% 245.51/49.46  | | | Case 1:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (53)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | ALPHA: (53) implies:
% 245.51/49.46  | | | |   (54)  all_25_4 = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (7), (13), (14), (17), (21), (22), (23), (28), (30), (33),
% 245.51/49.46  | | | |            (44), (54) are inconsistent by sub-proof #1239.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | Case 2:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (55)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.51/49.46  | | | |           op1(e14, e10) = e11)
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | BETA: splitting (55) gives:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | Case 1:
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | |   (56)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | | ALPHA: (56) implies:
% 245.51/49.46  | | | | |   (57)  all_25_9 = e11
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (13), (15),
% 245.51/49.46  | | | | |            (19), (21), (22), (23), (25), (26), (27), (29), (31), (32),
% 245.51/49.46  | | | | |            (39), (42), (45), (46), (48), (57) are inconsistent by
% 245.51/49.46  | | | | |            sub-proof #1132.
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | Case 2:
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | |   (58)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | | ALPHA: (58) implies:
% 245.51/49.46  | | | | |   (59)  op1(e14, e10) = e11
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | | REF_CLOSE: (5), (9), (13), (18), (21), (23), (24), (34), (35), (36),
% 245.51/49.46  | | | | |            (37), (38), (40), (41), (43), (59) are inconsistent by
% 245.51/49.46  | | | | |            sub-proof #1156.
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | End of split
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | End of split
% 245.51/49.46  | | | 
% 245.51/49.46  | | End of split
% 245.51/49.46  | | 
% 245.51/49.46  | Case 2:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (60)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.51/49.46  | | 
% 245.51/49.46  | | REF_CLOSE: (3), (9), (13), (15), (20), (21), (22), (23), (26), (27), (29),
% 245.51/49.46  | |            (31), (45), (60) are inconsistent by sub-proof #1185.
% 245.51/49.46  | | 
% 245.51/49.46  | End of split
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1078 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.51/49.46    (2)  all_25_0 = e14
% 245.51/49.46    (3)   ~ (e14 = e11)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_0 = e11
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e14 = e11
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1079 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.51/49.46    (2)  all_25_8 = e12
% 245.51/49.46    (3)   ~ (e12 = e11)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_8 = e11
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e12 = e11
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1080 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)   ~ (all_14_12 = e13)
% 245.51/49.46    (2)   ~ (e13 = e10)
% 245.51/49.46    (3)  op1(e11, e12) = all_14_13
% 245.51/49.46    (4)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.46           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.46           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.46    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (6)   ~ (e13 = e11)
% 245.51/49.46    (7)  op1(e13, e12) = e10
% 245.51/49.46    (8)   ~ (e11 = e10)
% 245.51/49.46    (9)   ~ (all_14_13 = e13)
% 245.51/49.46    (10)   ~ (all_14_14 = e13)
% 245.51/49.46    (11)  op1(e12, e12) = all_14_12
% 245.51/49.46    (12)  op1(e10, e12) = all_14_14
% 245.51/49.46    (13)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_5 = e11 & op1(e13, e12)
% 245.51/49.46            = e11)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (13) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (14)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.51/49.46  | | 
% 245.51/49.46  | | ALPHA: (14) implies:
% 245.51/49.46  | |   (15)  all_25_4 = e11
% 245.51/49.46  | | 
% 245.51/49.46  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (15)
% 245.51/49.46  | |            are inconsistent by sub-proof #1239.
% 245.51/49.46  | | 
% 245.51/49.46  | Case 2:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (16)  all_25_5 = e11 & op1(e13, e12) = e11
% 245.51/49.46  | | 
% 245.51/49.46  | | REF_CLOSE: (5), (7), (8), (16) are inconsistent by sub-proof #1285.
% 245.51/49.46  | | 
% 245.51/49.46  | End of split
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1081 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (2)  op1(e13, e12) = e10
% 245.51/49.46    (3)   ~ (e12 = e10)
% 245.51/49.46    (4)  (all_25_4 = e12 & op1(e14, e12) = e12) | (all_25_5 = e12 & op1(e13, e12)
% 245.51/49.46           = e12)
% 245.51/49.46    (5)  op1(e14, e12) = all_14_10
% 245.51/49.46    (6)   ~ (all_14_10 = e12)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (4) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (7)  all_25_4 = e12 & op1(e14, e12) = e12
% 245.51/49.46  | | 
% 245.51/49.46  | | ALPHA: (7) implies:
% 245.51/49.46  | |   (8)  op1(e14, e12) = e12
% 245.51/49.46  | | 
% 245.51/49.46  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1268.
% 245.51/49.46  | | 
% 245.51/49.46  | Case 2:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (9)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.51/49.46  | | 
% 245.51/49.46  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1337.
% 245.51/49.46  | | 
% 245.51/49.46  | End of split
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1082 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_20 = e14
% 245.51/49.46    (2)  all_25_20 = e12
% 245.51/49.46    (3)   ~ (e14 = e12)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (1), (2) imply:
% 245.51/49.46  |   (4)  e14 = e12
% 245.51/49.46  | 
% 245.51/49.46  | SIMP: (4) implies:
% 245.51/49.46  |   (5)  e14 = e12
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1083 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)   ~ (e14 = e10)
% 245.51/49.46    (2)  all_25_2 = e12
% 245.51/49.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.46    (4)  all_25_19 = e12
% 245.51/49.46    (5)  all_25_24 = e10
% 245.51/49.46    (6)  all_25_4 = e13
% 245.51/49.46    (7)   ~ (all_14_12 = e13)
% 245.51/49.46    (8)   ~ (e12 = e11)
% 245.51/49.46    (9)   ~ (e14 = e11)
% 245.51/49.46    (10)   ~ (e13 = e10)
% 245.51/49.46    (11)  op1(e11, e12) = all_14_13
% 245.51/49.46    (12)   ~ (e14 = e13)
% 245.51/49.46    (13)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.46            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.46            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.46    (14)  op1(e13, e11) = e14
% 245.51/49.46    (15)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.51/49.46              e10) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 =
% 245.51/49.46            e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.46    (16)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.51/49.46              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.51/49.46            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.51/49.46    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (18)   ~ (e13 = e11)
% 245.51/49.46    (19)  op1(e13, e12) = e10
% 245.51/49.46    (20)   ~ (e11 = e10)
% 245.51/49.46    (21)   ~ (e13 = e12)
% 245.51/49.46    (22)  op1(e13, e13) = e11
% 245.51/49.46    (23)   ~ (all_14_13 = e13)
% 245.51/49.46    (24)   ~ (all_14_14 = e13)
% 245.51/49.46    (25)  op1(e12, e12) = all_14_12
% 245.51/49.46    (26)  all_25_18 = e12
% 245.51/49.46    (27)  op1(e10, e12) = all_14_14
% 245.51/49.46    (28)   ~ (e14 = e12)
% 245.51/49.46    (29)  all_25_17 = e13
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (15) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (30)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 &
% 245.51/49.46  | |           op1(e13, e10) = e11)
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (30) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (31)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.51/49.46  | | | 
% 245.51/49.46  | | | ALPHA: (31) implies:
% 245.51/49.46  | | |   (32)  all_25_16 = e11
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (10), (12), (14), (16), (17),
% 245.51/49.46  | | |            (18), (19), (21), (22), (26), (28), (32) are inconsistent by
% 245.51/49.46  | | |            sub-proof #1085.
% 245.51/49.46  | | | 
% 245.51/49.46  | | Case 2:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (33)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (6), (7), (10), (11), (13), (17), (18), (19), (23), (24), (25),
% 245.51/49.46  | | |            (27), (29), (33) are inconsistent by sub-proof #1155.
% 245.51/49.46  | | | 
% 245.51/49.46  | | End of split
% 245.51/49.46  | | 
% 245.51/49.46  | Case 2:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (34)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 &
% 245.51/49.46  | |           op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (34) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (35)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (8), (26), (35) are inconsistent by sub-proof #1148.
% 245.51/49.46  | | | 
% 245.51/49.46  | | Case 2:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (36)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 &
% 245.51/49.46  | | |           op1(e10, e10) = e11)
% 245.51/49.46  | | | 
% 245.51/49.46  | | | BETA: splitting (36) gives:
% 245.51/49.46  | | | 
% 245.51/49.46  | | | Case 1:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (37)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (4), (8), (37) are inconsistent by sub-proof #1084.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | Case 2:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (38)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (5), (20), (38) are inconsistent by sub-proof #1201.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | End of split
% 245.51/49.46  | | | 
% 245.51/49.46  | | End of split
% 245.51/49.46  | | 
% 245.51/49.46  | End of split
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1084 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.51/49.46    (2)  all_25_19 = e12
% 245.51/49.46    (3)   ~ (e12 = e11)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_19 = e11
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e12 = e11
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1085 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)   ~ (e14 = e10)
% 245.51/49.46    (2)  all_25_2 = e12
% 245.51/49.46    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.46    (4)  all_25_19 = e12
% 245.51/49.46    (5)  all_25_24 = e10
% 245.51/49.46    (6)   ~ (e14 = e11)
% 245.51/49.46    (7)   ~ (e13 = e10)
% 245.51/49.46    (8)   ~ (e14 = e13)
% 245.51/49.46    (9)  op1(e13, e11) = e14
% 245.51/49.46    (10)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.51/49.46              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.51/49.46            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.51/49.46    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (12)   ~ (e13 = e11)
% 245.51/49.46    (13)  op1(e13, e12) = e10
% 245.51/49.46    (14)   ~ (e13 = e12)
% 245.51/49.46    (15)  op1(e13, e13) = e11
% 245.51/49.46    (16)  all_25_16 = e11
% 245.51/49.46    (17)  all_25_18 = e12
% 245.51/49.46    (18)   ~ (e14 = e12)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (10) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (19)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 &
% 245.51/49.46  | |           op1(e13, e10) = e14)
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (19) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (20)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (6), (16), (20) are inconsistent by sub-proof #1235.
% 245.51/49.46  | | | 
% 245.51/49.46  | | Case 2:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (21)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (2), (3), (7), (8), (9), (11), (12), (13), (14), (15), (21) are
% 245.51/49.46  | | |            inconsistent by sub-proof #1136.
% 245.51/49.46  | | | 
% 245.51/49.46  | | End of split
% 245.51/49.46  | | 
% 245.51/49.46  | Case 2:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (22)  (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 = e14 &
% 245.51/49.46  | |           op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (22) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (23)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.51/49.46  | | | 
% 245.51/49.46  | | | REF_CLOSE: (17), (18), (23) are inconsistent by sub-proof #1146.
% 245.51/49.46  | | | 
% 245.51/49.46  | | Case 2:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (24)  (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24 = e14 &
% 245.51/49.46  | | |           op1(e10, e10) = e14)
% 245.51/49.46  | | | 
% 245.51/49.46  | | | BETA: splitting (24) gives:
% 245.51/49.46  | | | 
% 245.51/49.46  | | | Case 1:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (25)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (4), (18), (25) are inconsistent by sub-proof #1087.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | Case 2:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (26)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | REF_CLOSE: (1), (5), (26) are inconsistent by sub-proof #1086.
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | End of split
% 245.51/49.46  | | | 
% 245.51/49.46  | | End of split
% 245.51/49.46  | | 
% 245.51/49.46  | End of split
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1086 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.51/49.46    (2)  all_25_24 = e10
% 245.51/49.46    (3)   ~ (e14 = e10)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_24 = e14
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e14 = e10
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1087 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.46    (2)  all_25_19 = e12
% 245.51/49.46    (3)   ~ (e14 = e12)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_19 = e14
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e14 = e12
% 245.51/49.46  | 
% 245.51/49.46  | SIMP: (5) implies:
% 245.51/49.46  |   (6)  e14 = e12
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (6) imply:
% 245.51/49.46  |   (7)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (7) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1088 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  all_25_15 = e12 & op1(e11, e11) = e12
% 245.51/49.46    (2)  all_25_15 = e13
% 245.51/49.46    (3)   ~ (e13 = e12)
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | ALPHA: (1) implies:
% 245.51/49.46  |   (4)  all_25_15 = e12
% 245.51/49.46  | 
% 245.51/49.46  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.46  |   (5)  e13 = e12
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (3), (5) imply:
% 245.51/49.46  |   (6)  $false
% 245.51/49.46  | 
% 245.51/49.46  | CLOSE: (6) is inconsistent.
% 245.51/49.46  | 
% 245.51/49.46  End of proof
% 245.51/49.46  
% 245.51/49.46  Sub-proof #1089 shows that the following formulas are inconsistent:
% 245.51/49.46  ----------------------------------------------------------------
% 245.51/49.46    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.46             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.46           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.46    (2)   ~ (e14 = e10)
% 245.51/49.46    (3)  all_25_14 = e12
% 245.51/49.46    (4)  all_25_2 = e12
% 245.51/49.46    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.46           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.46           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.46    (6)  all_25_1 = e12
% 245.51/49.46    (7)  all_25_24 = e10
% 245.51/49.46    (8)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_10 = e10 & op1(e13, e11)
% 245.51/49.46           = e10) | (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_15 = e10 &
% 245.51/49.46           op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.51/49.46    (9)  all_25_4 = e13
% 245.51/49.46    (10)   ~ (all_14_12 = e13)
% 245.51/49.46    (11)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.51/49.46              e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.51/49.46            e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.46    (12)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.46            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.46            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.46    (13)   ~ (e12 = e11)
% 245.51/49.46    (14)   ~ (e14 = e11)
% 245.51/49.46    (15)  all_25_3 = e11
% 245.51/49.46    (16)  op1(e10, e13) = e13
% 245.51/49.46    (17)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.51/49.46            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.46            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.46    (18)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.51/49.46            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.51/49.46            op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.51/49.46    (19)   ~ (e13 = e10)
% 245.51/49.46    (20)  op1(e11, e12) = all_14_13
% 245.51/49.46    (21)   ~ (e14 = e13)
% 245.51/49.46    (22)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.46            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.46            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.46    (23)   ~ (all_14_17 = e14)
% 245.51/49.46    (24)  op1(e14, e11) = all_14_15
% 245.51/49.46    (25)  op1(e13, unit1) = e13
% 245.51/49.46    (26)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.51/49.46            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.51/49.46            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.51/49.46    (27)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.51/49.46            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.51/49.46            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.51/49.46    (28)  op1(e13, e11) = e14
% 245.51/49.46    (29)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.51/49.46              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.51/49.46            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.46    (30)  all_25_21 = e13
% 245.51/49.46    (31)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14 & op1(e13,
% 245.51/49.46              e10) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.51/49.46            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.51/49.46    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.46            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.46    (33)  all_25_15 = e13
% 245.51/49.46    (34)   ~ (e13 = e11)
% 245.51/49.46    (35)  op1(e13, e12) = e10
% 245.51/49.46    (36)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 & op1(e11,
% 245.51/49.46              e13) = e10) | (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 =
% 245.51/49.46            e10 & op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.51/49.46    (37)  op1(e12, e11) = all_14_17
% 245.51/49.46    (38)   ~ (all_14_18 = e14)
% 245.51/49.46    (39)   ~ (e11 = e10)
% 245.51/49.46    (40)   ~ (all_14_13 = e10)
% 245.51/49.46    (41)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.51/49.46            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.51/49.46            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.46    (42)  op1(e13, e13) = e11
% 245.51/49.46    (43)   ~ (all_14_13 = e13)
% 245.51/49.46    (44)   ~ (all_14_19 = e14)
% 245.51/49.46    (45)  all_25_6 = e13
% 245.51/49.46    (46)   ~ (all_14_14 = e13)
% 245.51/49.46    (47)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.46            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.46            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.46    (48)   ~ (all_14_15 = e14)
% 245.51/49.46    (49)   ~ (all_14_19 = e13)
% 245.51/49.46    (50)  op1(e14, e10) = all_14_20
% 245.51/49.46    (51)  op1(e12, e12) = all_14_12
% 245.51/49.46    (52)  op1(e10, unit1) = e10
% 245.51/49.46    (53)  op1(e10, e11) = e12
% 245.51/49.46    (54)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.46    (55)  op1(unit1, e14) = e14
% 245.51/49.46    (56)  op1(e14, e12) = all_14_10
% 245.51/49.46    (57)  all_25_18 = e12
% 245.51/49.46    (58)   ~ (all_14_10 = e12)
% 245.51/49.46    (59)  op1(e11, e11) = all_14_18
% 245.51/49.46    (60)   ~ (all_14_20 = e10)
% 245.51/49.46    (61)   ~ (all_14_19 = e10)
% 245.51/49.46    (62)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.51/49.46            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.51/49.46            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.46    (63)  op1(unit1, e12) = e12
% 245.51/49.46    (64)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.51/49.46              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.51/49.46            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.51/49.46    (65)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.46            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.46            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.46    (66)  op1(e10, e11) = all_14_19
% 245.51/49.46    (67)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.46            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.46            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.51/49.46    (68)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.51/49.46            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.51/49.46            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.51/49.46    (69)  op1(e10, e12) = all_14_14
% 245.51/49.46    (70)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 245.51/49.46            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.51/49.46            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.51/49.46    (71)  op1(e13, e14) = e12
% 245.51/49.46    (72)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.51/49.46            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.51/49.46            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.51/49.46    (73)  all_25_23 = e12
% 245.51/49.46    (74)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.51/49.46            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.51/49.46            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.51/49.46    (75)  all_25_17 = e13
% 245.51/49.46  
% 245.51/49.46  Begin of proof
% 245.51/49.46  | 
% 245.51/49.46  | GROUND_INST: instantiating (32) with all_14_19, e12, e11, e10, simplifying
% 245.51/49.46  |              with (53), (66) gives:
% 245.51/49.46  |   (76)  all_14_19 = e12
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (44), (76) imply:
% 245.51/49.46  |   (77)   ~ (e14 = e12)
% 245.51/49.46  | 
% 245.51/49.46  | SIMP: (77) implies:
% 245.51/49.46  |   (78)   ~ (e14 = e12)
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (49), (76) imply:
% 245.51/49.46  |   (79)   ~ (e13 = e12)
% 245.51/49.46  | 
% 245.51/49.46  | SIMP: (79) implies:
% 245.51/49.46  |   (80)   ~ (e13 = e12)
% 245.51/49.46  | 
% 245.51/49.46  | REDUCE: (61), (76) imply:
% 245.51/49.46  |   (81)   ~ (e12 = e10)
% 245.51/49.46  | 
% 245.51/49.46  | BETA: splitting (36) gives:
% 245.51/49.46  | 
% 245.51/49.46  | Case 1:
% 245.51/49.46  | | 
% 245.51/49.46  | |   (82)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_13 = e10 &
% 245.51/49.46  | |           op1(e11, e13) = e10)
% 245.51/49.46  | | 
% 245.51/49.46  | | BETA: splitting (82) gives:
% 245.51/49.46  | | 
% 245.51/49.46  | | Case 1:
% 245.51/49.46  | | | 
% 245.51/49.46  | | |   (83)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.51/49.46  | | | 
% 245.51/49.46  | | | ALPHA: (83) implies:
% 245.51/49.46  | | |   (84)  all_25_12 = e10
% 245.51/49.46  | | | 
% 245.51/49.46  | | | BETA: splitting (29) gives:
% 245.51/49.46  | | | 
% 245.51/49.46  | | | Case 1:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | |   (85)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 245.51/49.46  | | | |           op1(e11, e13) = e11)
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | BETA: splitting (85) gives:
% 245.51/49.46  | | | | 
% 245.51/49.46  | | | | Case 1:
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | |   (86)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.51/49.46  | | | | | 
% 245.51/49.46  | | | | | ALPHA: (86) implies:
% 245.51/49.46  | | | | |   (87)  all_25_12 = e11
% 245.51/49.46  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (12), (13), (14),
% 245.51/49.47  | | | | |            (15), (17), (19), (20), (21), (22), (24), (25), (26), (27),
% 245.51/49.47  | | | | |            (28), (30), (32), (34), (35), (39), (41), (42), (43), (45),
% 245.51/49.47  | | | | |            (46), (47), (48), (50), (51), (52), (54), (56), (58), (60),
% 245.51/49.47  | | | | |            (61), (63), (65), (66), (69), (72), (73), (75), (78), (80),
% 245.51/49.47  | | | | |            (81), (87) are inconsistent by sub-proof #1120.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | Case 2:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (88)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | ALPHA: (88) implies:
% 245.51/49.47  | | | | |   (89)  all_25_13 = e11
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13),
% 245.51/49.47  | | | | |            (14), (15), (16), (19), (20), (21), (22), (25), (30), (32),
% 245.51/49.47  | | | | |            (34), (35), (39), (42), (43), (45), (46), (47), (49), (51),
% 245.51/49.47  | | | | |            (52), (54), (55), (56), (57), (58), (61), (62), (63), (64),
% 245.51/49.47  | | | | |            (65), (66), (67), (68), (69), (70), (71), (73), (74), (75),
% 245.51/49.47  | | | | |            (78), (80), (81), (89) are inconsistent by sub-proof #1109.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | End of split
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | Case 2:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | |   (90)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 245.51/49.47  | | | |           op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | BETA: splitting (90) gives:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | Case 1:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (91)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (3), (13), (91) are inconsistent by sub-proof #1108.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | Case 2:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (92)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 245.51/49.47  | | | | |           op1(e11, e10) = e11)
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | BETA: splitting (92) gives:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | Case 1:
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | |   (93)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | REF_CLOSE: (9), (10), (19), (20), (22), (32), (33), (34), (35),
% 245.51/49.47  | | | | | |            (43), (46), (51), (69), (93) are inconsistent by
% 245.51/49.47  | | | | | |            sub-proof #1107.
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | Case 2:
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | |   (94)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | ALPHA: (94) implies:
% 245.51/49.47  | | | | | |   (95)  all_25_19 = e11
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | BETA: splitting (31) gives:
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | Case 1:
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | |   (96)  (all_25_16 = e14 & op1(e14, e10) = e14) | (all_25_17 = e14
% 245.51/49.47  | | | | | | |           & op1(e13, e10) = e14)
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | | BETA: splitting (96) gives:
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | |   (97)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | ALPHA: (97) implies:
% 245.51/49.47  | | | | | | | |   (98)  all_25_16 = e14
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | BETA: splitting (11) gives:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | |   (99)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 =
% 245.51/49.47  | | | | | | | | |           e14 & op1(e11, e13) = e14)
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | BETA: splitting (99) gives:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | |   (100)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | REF_CLOSE: (2), (84), (100) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | |            #1178.
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | |   (101)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | ALPHA: (101) implies:
% 245.51/49.47  | | | | | | | | | |   (102)  all_25_13 = e14
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | BETA: splitting (62) gives:
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | |   (103)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3
% 245.51/49.47  | | | | | | | | | | |            = e10 & op1(e13, e13) = e10)
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (12), (13), (14), (19), (21),
% 245.51/49.47  | | | | | | | | | | |            (32), (34), (35), (39), (42), (47), (65), (78),
% 245.51/49.47  | | | | | | | | | | |            (80), (81), (103) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | |            #1279.
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | |   (104)  (all_25_7 = e10 & op1(e12, e13) = e10) |
% 245.51/49.47  | | | | | | | | | | |          (all_25_13 = e10 & op1(e11, e13) = e10) |
% 245.51/49.47  | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | BETA: splitting (104) gives:
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | |   (105)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | ALPHA: (105) implies:
% 245.51/49.47  | | | | | | | | | | | |   (106)  all_25_7 = e10
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | BETA: splitting (18) gives:
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | |   (107)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7
% 245.51/49.47  | | | | | | | | | | | | |            = e14 & op1(e12, e13) = e14)
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | BETA: splitting (107) gives:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | |   (108)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (45),
% 245.51/49.47  | | | | | | | | | | | | | |            (67), (78), (102), (106), (108) are inconsistent
% 245.51/49.47  | | | | | | | | | | | | | |            by sub-proof #1174.
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | |   (109)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | ALPHA: (109) implies:
% 245.51/49.47  | | | | | | | | | | | | | |   (110)  all_25_7 = e14
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | COMBINE_EQS: (106), (110) imply:
% 245.51/49.47  | | | | | | | | | | | | | |   (111)  e14 = e10
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | SIMP: (111) implies:
% 245.51/49.47  | | | | | | | | | | | | | |   (112)  e14 = e10
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | COMBINE_EQS: (102), (112) imply:
% 245.51/49.47  | | | | | | | | | | | | | |   (113)  all_25_13 = e10
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10),
% 245.51/49.47  | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (19), (20), (21),
% 245.51/49.47  | | | | | | | | | | | | | |            (22), (25), (30), (32), (34), (35), (39), (42),
% 245.51/49.47  | | | | | | | | | | | | | |            (43), (45), (46), (47), (51), (52), (54), (55),
% 245.51/49.47  | | | | | | | | | | | | | |            (56), (57), (58), (61), (62), (63), (65), (66),
% 245.51/49.47  | | | | | | | | | | | | | |            (67), (68), (69), (70), (71), (73), (74), (75),
% 245.51/49.47  | | | | | | | | | | | | | |            (78), (80), (81), (110), (113) are inconsistent by
% 245.51/49.47  | | | | | | | | | | | | | |            sub-proof #1104.
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | |   (114)  (all_25_8 = e14 & op1(e12, e12) = e14) |
% 245.51/49.47  | | | | | | | | | | | | |          (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.51/49.47  | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | BETA: splitting (114) gives:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | |   (115)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | ALPHA: (115) implies:
% 245.51/49.47  | | | | | | | | | | | | | |   (116)  all_25_8 = e14
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | |   (117)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7
% 245.51/49.47  | | | | | | | | | | | | | | |            = e11 & op1(e12, e13) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | |   (118)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (19), (20), (22), (32), (34), (35),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (43), (45), (46), (51), (69), (118) are
% 245.51/49.47  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | |   (119)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | ALPHA: (119) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | |   (120)  all_25_7 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (120) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | |   (121)  e11 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (19), (20),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (21), (22), (24), (25), (26), (27), (28), (29),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (30), (32), (33), (34), (35), (39), (41), (42),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (43), (45), (46), (47), (48), (49), (50), (51),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (52), (54), (55), (56), (57), (58), (60), (61),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (62), (63), (64), (65), (66), (67), (68), (69),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (70), (71), (72), (73), (74), (75), (78), (80),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (81), (95), (121) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | |            #1101.
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | |   (122)  (all_25_8 = e11 & op1(e12, e12) = e11) |
% 245.51/49.47  | | | | | | | | | | | | | | |          (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.51/49.47  | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | |   (123)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (67),
% 245.51/49.47  | | | | | | | | | | | | | | | |            (78), (102), (106), (116), (123) are inconsistent
% 245.51/49.47  | | | | | | | | | | | | | | | |            by sub-proof #1100.
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | |   (124)  (all_25_11 = e11 & op1(e12, e11) = e11) |
% 245.51/49.47  | | | | | | | | | | | | | | | |          (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | |   (125)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | |   (126)  all_25_11 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | |   (127)  (all_25_9 = e10 & op1(e14, e11) = e10) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | |          (all_25_10 = e10 & op1(e13, e11) = e10)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (128)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (129)  all_25_9 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | |   (130)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e13) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (131)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (132)  all_25_0 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (133)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            = e14 & op1(e13, e14) = e14)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (134)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (135)  all_25_0 = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (135) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (136)  e14 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (136) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (137)  e14 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (137) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (138)  all_25_13 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (67),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            (78), (106), (138) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (139)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (19), (21), (28), (32), (34), (35),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            (42), (47), (78), (80), (81), (139) are
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1185.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (140)  (all_25_6 = e14 & op1(e12, e14) = e14) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |          (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (141)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (45),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            (67), (78), (102), (106), (141) are inconsistent
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1174.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |   (142)  (all_25_12 = e14 & op1(e11, e14) = e14) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | |          (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (143)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (144)  all_25_12 = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (144) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (145)  e14 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (145) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (146)  e14 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (146) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (147)  all_25_13 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (11), (14), (32), (38), (59), (78),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            (84), (95), (147) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            #1096.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |   (149)  all_25_20 = e14
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (7), (9), (10), (13), (14), (15),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            (16), (19), (20), (21), (22), (25), (30), (32),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            (34), (35), (39), (43), (46), (51), (52), (54),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            (56), (58), (61), (63), (66), (67), (69), (73),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            (78), (102), (106), (149) are inconsistent by
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1095.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (150)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (150) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |            #1240.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | |   (151)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | |            = e11 & op1(e14, e11) = e11) | (all_25_16 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | |            & op1(e14, e10) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (152)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (153)  all_25_4 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (19), (20), (22), (32), (34), (35), (43),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |            (46), (51), (69), (153) are inconsistent by
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1239.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |   (154)  (all_25_9 = e11 & op1(e14, e11) = e11) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | |          (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (155)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (156)  all_25_9 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (156) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (157)  e11 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (19), (20),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (25), (26), (27), (28), (29),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (30), (32), (33), (34), (35), (39), (41), (42),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (43), (45), (46), (47), (48), (49), (50), (51),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (52), (54), (55), (56), (57), (58), (60), (61),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (62), (63), (64), (65), (66), (67), (68), (69),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (70), (71), (72), (73), (74), (75), (78), (80),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (81), (95), (157) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (158)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_25_16 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (159) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (160)  e14 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (160) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |   (161)  all_25_13 = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (67),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            (78), (106), (161) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (162)  all_25_10 = e10 & op1(e13, e11) = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (13), (19), (21), (28), (32), (34),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (35), (39), (42), (47), (65), (78), (80), (81),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (162) are inconsistent by sub-proof #1092.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | |   (163)  (all_25_11 = e10 & op1(e12, e11) = e10) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | |          (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (164)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (165)  all_25_11 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (165) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (166)  e11 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (166) imply:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (167)  all_25_19 = e10
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (19), (20),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (21), (22), (24), (25), (26), (27), (28), (29),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (30), (32), (33), (34), (35), (39), (41), (42),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (43), (45), (46), (47), (48), (49), (50), (51),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (52), (54), (55), (56), (57), (58), (60), (61),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (62), (63), (64), (65), (66), (67), (68), (69),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (70), (71), (72), (73), (74), (75), (78), (80),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (81), (167) are inconsistent by sub-proof #1102.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |   (168)  (all_25_15 = e10 & op1(e11, e11) = e10) |
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |          (all_25_23 = e10 & op1(e10, e11) = e10)
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (10), (14), (15), (19), (20),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (21), (22), (32), (33), (34), (35), (42), (43),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (46), (51), (61), (65), (66), (69), (75), (78),
% 245.51/49.47  | | | | | | | | | | | | | | | | | | |            (80), (168) are inconsistent by sub-proof #1091.
% 245.51/49.47  | | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | |   (169)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (57), (169) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | | | |            #1148.
% 245.51/49.47  | | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | |   (170)  (all_25_11 = e14 & op1(e12, e11) = e14) |
% 245.51/49.47  | | | | | | | | | | | | | |          (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | |   (171)  all_25_11 = e14 & op1(e12, e11) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | REF_CLOSE: (23), (32), (37), (171) are inconsistent by
% 245.51/49.47  | | | | | | | | | | | | | | |            sub-proof #1162.
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | |   (172)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 245.51/49.47  | | | | | | | | | | | | | | |   (173)  all_25_18 = e14
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | COMBINE_EQS: (57), (173) imply:
% 245.51/49.47  | | | | | | | | | | | | | | |   (174)  e14 = e12
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | COMBINE_EQS: (102), (174) imply:
% 245.51/49.47  | | | | | | | | | | | | | | |   (175)  all_25_13 = e12
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (14), (15), (16), (21), (32), (67),
% 245.51/49.47  | | | | | | | | | | | | | | |            (78), (106), (175) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | | | |            #1194.
% 245.51/49.47  | | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | |   (176)  (all_25_13 = e10 & op1(e11, e13) = e10) |
% 245.51/49.47  | | | | | | | | | | | |          (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | BETA: splitting (176) gives:
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | |   (177)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | ALPHA: (177) implies:
% 245.51/49.47  | | | | | | | | | | | | |   (178)  all_25_13 = e10
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | REF_CLOSE: (2), (3), (11), (14), (32), (38), (59), (78),
% 245.51/49.47  | | | | | | | | | | | | |            (84), (95), (178) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | | | | |            #1096.
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | |   (179)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (9), (10), (14), (15), (19), (20),
% 245.51/49.47  | | | | | | | | | | | | |            (21), (22), (30), (32), (34), (35), (42), (43),
% 245.51/49.47  | | | | | | | | | | | | |            (46), (51), (65), (69), (75), (78), (80), (179)
% 245.51/49.47  | | | | | | | | | | | | |            are inconsistent by sub-proof #1192.
% 245.51/49.47  | | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | |   (180)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15
% 245.51/49.47  | | | | | | | | |            = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 245.51/49.47  | | | | | | | | |            op1(e11, e10) = e14)
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | BETA: splitting (180) gives:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | |   (181)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | REF_CLOSE: (3), (78), (181) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | | |            #1116.
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | |   (182)  (all_25_15 = e14 & op1(e11, e11) = e14) |
% 245.51/49.47  | | | | | | | | | |          (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | | REF_CLOSE: (14), (32), (38), (59), (95), (182) are
% 245.51/49.47  | | | | | | | | | |            inconsistent by sub-proof #1090.
% 245.51/49.47  | | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | |   (183)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | REF_CLOSE: (4), (5), (19), (21), (28), (32), (34), (35), (42),
% 245.51/49.47  | | | | | | | |            (80), (183) are inconsistent by sub-proof #1136.
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | End of split
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | Case 2:
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | |   (184)  (all_25_18 = e14 & op1(e12, e10) = e14) | (all_25_19 =
% 245.51/49.47  | | | | | | |            e14 & op1(e11, e10) = e14) | (all_25_24 = e14 &
% 245.51/49.47  | | | | | | |            op1(e10, e10) = e14)
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | | BETA: splitting (184) gives:
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | |   (185)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | REF_CLOSE: (57), (78), (185) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | |            #1146.
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | |   (186)  (all_25_19 = e14 & op1(e11, e10) = e14) | (all_25_24 =
% 245.51/49.47  | | | | | | | |            e14 & op1(e10, e10) = e14)
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | BETA: splitting (186) gives:
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | | Case 1:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | |   (187)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | ALPHA: (187) implies:
% 245.51/49.47  | | | | | | | | |   (188)  all_25_19 = e14
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | REF_CLOSE: (14), (95), (188) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | |            #1097.
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | Case 2:
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | |   (189)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | | REF_CLOSE: (2), (7), (189) are inconsistent by sub-proof
% 245.51/49.47  | | | | | | | | |            #1208.
% 245.51/49.47  | | | | | | | | | 
% 245.51/49.47  | | | | | | | | End of split
% 245.51/49.47  | | | | | | | | 
% 245.51/49.47  | | | | | | | End of split
% 245.51/49.47  | | | | | | | 
% 245.51/49.47  | | | | | | End of split
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | End of split
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | End of split
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | End of split
% 245.51/49.47  | | | 
% 245.51/49.47  | | Case 2:
% 245.51/49.47  | | | 
% 245.51/49.47  | | |   (190)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.51/49.47  | | | 
% 245.51/49.47  | | | ALPHA: (190) implies:
% 245.51/49.47  | | |   (191)  all_25_13 = e10
% 245.51/49.47  | | | 
% 245.51/49.47  | | | BETA: splitting (67) gives:
% 245.51/49.47  | | | 
% 245.51/49.47  | | | Case 1:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | |   (192)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 &
% 245.51/49.47  | | | |            op1(e13, e13) = e14)
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | BETA: splitting (192) gives:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | Case 1:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (193)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (6), (78), (193) are inconsistent by sub-proof #1292.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | Case 2:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (194)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (14), (15), (194) are inconsistent by sub-proof #1291.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | End of split
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | Case 2:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | |   (195)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.47  | | | |            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) =
% 245.51/49.47  | | | |            e14)
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | BETA: splitting (195) gives:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | Case 1:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (196)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | ALPHA: (196) implies:
% 245.51/49.47  | | | | |   (197)  all_25_7 = e14
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13),
% 245.51/49.47  | | | | |            (14), (15), (16), (19), (20), (21), (22), (25), (30), (32),
% 245.51/49.47  | | | | |            (34), (35), (39), (42), (43), (45), (46), (47), (51), (52),
% 245.51/49.47  | | | | |            (54), (55), (56), (57), (58), (61), (62), (63), (65), (66),
% 245.51/49.47  | | | | |            (67), (68), (69), (70), (71), (73), (74), (75), (78), (80),
% 245.51/49.47  | | | | |            (81), (191), (197) are inconsistent by sub-proof #1104.
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | Case 2:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | |   (198)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.51/49.47  | | | | |            op1(e10, e13) = e14)
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | BETA: splitting (198) gives:
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | | Case 1:
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | |   (199)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | ALPHA: (199) implies:
% 245.51/49.47  | | | | | |   (200)  all_25_13 = e14
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | REF_CLOSE: (2), (191), (200) are inconsistent by sub-proof #1275.
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | Case 2:
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | |   (201)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (13), (14), (15), (19), (21),
% 245.51/49.47  | | | | | |            (25), (32), (34), (35), (39), (42), (46), (49), (52),
% 245.51/49.47  | | | | | |            (54), (56), (58), (61), (63), (64), (65), (66), (69),
% 245.51/49.47  | | | | | |            (73), (75), (78), (80), (201) are inconsistent by
% 245.51/49.47  | | | | | |            sub-proof #1110.
% 245.51/49.47  | | | | | | 
% 245.51/49.47  | | | | | End of split
% 245.51/49.47  | | | | | 
% 245.51/49.47  | | | | End of split
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | End of split
% 245.51/49.47  | | | 
% 245.51/49.47  | | End of split
% 245.51/49.47  | | 
% 245.51/49.47  | Case 2:
% 245.51/49.47  | | 
% 245.51/49.47  | |   (202)  (all_25_14 = e10 & op1(e11, e12) = e10) | (all_25_15 = e10 &
% 245.51/49.47  | |            op1(e11, e11) = e10) | (all_25_19 = e10 & op1(e11, e10) = e10)
% 245.51/49.47  | | 
% 245.51/49.47  | | BETA: splitting (202) gives:
% 245.51/49.47  | | 
% 245.51/49.47  | | Case 1:
% 245.51/49.47  | | | 
% 245.51/49.47  | | |   (203)  all_25_14 = e10 & op1(e11, e12) = e10
% 245.51/49.47  | | | 
% 245.51/49.47  | | | ALPHA: (203) implies:
% 245.51/49.47  | | |   (204)  op1(e11, e12) = e10
% 245.51/49.47  | | | 
% 245.51/49.47  | | | REF_CLOSE: (20), (32), (40), (204) are inconsistent by sub-proof #1158.
% 245.51/49.47  | | | 
% 245.51/49.47  | | Case 2:
% 245.51/49.47  | | | 
% 245.51/49.47  | | |   (205)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_19 = e10 &
% 245.51/49.47  | | |            op1(e11, e10) = e10)
% 245.51/49.47  | | | 
% 245.51/49.47  | | | BETA: splitting (205) gives:
% 245.51/49.47  | | | 
% 245.51/49.47  | | | Case 1:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | |   (206)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | REF_CLOSE: (2), (4), (5), (9), (10), (14), (15), (19), (20), (21), (22),
% 245.51/49.47  | | | |            (32), (33), (34), (35), (42), (43), (46), (51), (65), (69),
% 245.51/49.47  | | | |            (75), (78), (80), (206) are inconsistent by sub-proof #1157.
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | Case 2:
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | |   (207)  all_25_19 = e10 & op1(e11, e10) = e10
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | ALPHA: (207) implies:
% 245.51/49.47  | | | |   (208)  all_25_19 = e10
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13),
% 245.51/49.47  | | | |            (14), (15), (16), (17), (19), (20), (21), (22), (24), (25),
% 245.51/49.47  | | | |            (26), (27), (28), (29), (30), (32), (33), (34), (35), (39),
% 245.51/49.47  | | | |            (41), (42), (43), (45), (46), (47), (48), (49), (50), (51),
% 245.51/49.47  | | | |            (52), (54), (55), (56), (57), (58), (60), (61), (62), (63),
% 245.51/49.47  | | | |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 245.51/49.47  | | | |            (74), (75), (78), (80), (81), (208) are inconsistent by
% 245.51/49.47  | | | |            sub-proof #1102.
% 245.51/49.47  | | | | 
% 245.51/49.47  | | | End of split
% 245.51/49.47  | | | 
% 245.51/49.47  | | End of split
% 245.51/49.47  | | 
% 245.51/49.47  | End of split
% 245.51/49.47  | 
% 245.51/49.47  End of proof
% 245.51/49.47  
% 245.51/49.47  Sub-proof #1090 shows that the following formulas are inconsistent:
% 245.51/49.47  ----------------------------------------------------------------
% 245.51/49.47    (1)   ~ (e14 = e11)
% 245.51/49.47    (2)  all_25_19 = e11
% 245.51/49.47    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.47           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.47    (4)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11,
% 245.51/49.47             e10) = e14)
% 245.51/49.47    (5)   ~ (all_14_18 = e14)
% 245.51/49.47    (6)  op1(e11, e11) = all_14_18
% 245.51/49.47  
% 245.51/49.47  Begin of proof
% 245.51/49.47  | 
% 245.51/49.47  | BETA: splitting (4) gives:
% 245.51/49.47  | 
% 245.51/49.47  | Case 1:
% 245.51/49.47  | | 
% 245.51/49.47  | |   (7)  all_25_15 = e14 & op1(e11, e11) = e14
% 245.51/49.47  | | 
% 245.51/49.47  | | ALPHA: (7) implies:
% 245.51/49.47  | |   (8)  op1(e11, e11) = e14
% 245.51/49.47  | | 
% 245.51/49.47  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1098.
% 245.51/49.47  | | 
% 245.51/49.47  | Case 2:
% 245.51/49.47  | | 
% 245.51/49.47  | |   (9)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.47  | | 
% 245.51/49.47  | | ALPHA: (9) implies:
% 245.51/49.47  | |   (10)  all_25_19 = e14
% 245.51/49.47  | | 
% 245.51/49.47  | | COMBINE_EQS: (2), (10) imply:
% 245.51/49.47  | |   (11)  e14 = e11
% 245.51/49.47  | | 
% 245.51/49.47  | | REDUCE: (1), (11) imply:
% 245.51/49.47  | |   (12)  $false
% 245.51/49.47  | | 
% 245.51/49.47  | | CLOSE: (12) is inconsistent.
% 245.51/49.47  | | 
% 245.51/49.47  | End of split
% 245.51/49.47  | 
% 245.51/49.47  End of proof
% 245.51/49.47  
% 245.51/49.47  Sub-proof #1091 shows that the following formulas are inconsistent:
% 245.51/49.47  ----------------------------------------------------------------
% 245.51/49.47    (1)   ~ (e14 = e10)
% 245.51/49.47    (2)  all_25_2 = e12
% 245.51/49.47    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.47    (4)  all_25_4 = e13
% 245.51/49.47    (5)   ~ (all_14_12 = e13)
% 245.51/49.47    (6)   ~ (e14 = e11)
% 245.51/49.47    (7)  all_25_3 = e11
% 245.51/49.47    (8)   ~ (e13 = e10)
% 245.51/49.47    (9)  op1(e11, e12) = all_14_13
% 245.51/49.47    (10)   ~ (e14 = e13)
% 245.51/49.47    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.47            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.47            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.47    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.47            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.47    (13)  all_25_15 = e13
% 245.51/49.47    (14)   ~ (e13 = e11)
% 245.51/49.47    (15)  op1(e13, e12) = e10
% 245.51/49.47    (16)   ~ (e13 = e12)
% 245.51/49.47    (17)  op1(e13, e13) = e11
% 245.51/49.47    (18)   ~ (all_14_13 = e13)
% 245.51/49.47    (19)   ~ (all_14_14 = e13)
% 245.51/49.47    (20)  (all_25_15 = e10 & op1(e11, e11) = e10) | (all_25_23 = e10 & op1(e10,
% 245.51/49.47              e11) = e10)
% 245.51/49.47    (21)  op1(e12, e12) = all_14_12
% 245.51/49.47    (22)   ~ (all_14_19 = e10)
% 245.51/49.47    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.47            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.47            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.47    (24)  op1(e10, e11) = all_14_19
% 245.51/49.47    (25)  op1(e10, e12) = all_14_14
% 245.51/49.47    (26)   ~ (e14 = e12)
% 245.51/49.47    (27)  all_25_17 = e13
% 245.51/49.47  
% 245.51/49.47  Begin of proof
% 245.51/49.47  | 
% 245.51/49.47  | BETA: splitting (20) gives:
% 245.51/49.47  | 
% 245.51/49.47  | Case 1:
% 245.51/49.47  | | 
% 245.51/49.47  | |   (28)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.51/49.47  | | 
% 245.51/49.47  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.51/49.47  | |            (13), (14), (15), (16), (17), (18), (19), (21), (23), (25), (26),
% 245.51/49.47  | |            (27), (28) are inconsistent by sub-proof #1157.
% 245.51/49.47  | | 
% 245.51/49.47  | Case 2:
% 245.51/49.47  | | 
% 245.51/49.47  | |   (29)  all_25_23 = e10 & op1(e10, e11) = e10
% 245.51/49.47  | | 
% 245.51/49.47  | | ALPHA: (29) implies:
% 245.51/49.47  | |   (30)  op1(e10, e11) = e10
% 245.51/49.47  | | 
% 245.51/49.47  | | REF_CLOSE: (12), (22), (24), (30) are inconsistent by sub-proof #1267.
% 245.51/49.47  | | 
% 245.51/49.47  | End of split
% 245.51/49.47  | 
% 245.51/49.47  End of proof
% 245.51/49.47  
% 245.51/49.47  Sub-proof #1092 shows that the following formulas are inconsistent:
% 245.51/49.47  ----------------------------------------------------------------
% 245.51/49.47    (1)   ~ (e14 = e10)
% 245.51/49.47    (2)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.47           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.47           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.47    (3)   ~ (e12 = e11)
% 245.51/49.47    (4)   ~ (e13 = e10)
% 245.51/49.47    (5)   ~ (e14 = e13)
% 245.51/49.47    (6)  all_25_10 = e10 & op1(e13, e11) = e10
% 245.51/49.47    (7)  op1(e13, e11) = e14
% 245.51/49.47    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.47           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.47    (9)   ~ (e13 = e11)
% 245.51/49.47    (10)  op1(e13, e12) = e10
% 245.51/49.47    (11)   ~ (e11 = e10)
% 245.51/49.47    (12)   ~ (e13 = e12)
% 245.51/49.47    (13)  op1(e13, e13) = e11
% 245.51/49.48    (14)   ~ (e12 = e10)
% 245.51/49.48    (15)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.48            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.48            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.48    (16)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.48            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.48            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.48    (17)   ~ (e14 = e12)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | ALPHA: (6) implies:
% 245.51/49.48  |   (18)  all_25_10 = e10
% 245.51/49.48  |   (19)  op1(e13, e11) = e10
% 245.51/49.48  | 
% 245.51/49.48  | BETA: splitting (16) gives:
% 245.51/49.48  | 
% 245.51/49.48  | Case 1:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13,
% 245.51/49.48  | |             e13) = e14)
% 245.51/49.48  | | 
% 245.51/49.48  | | BETA: splitting (20) gives:
% 245.51/49.48  | | 
% 245.51/49.48  | | Case 1:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (21)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | ALPHA: (21) implies:
% 245.51/49.48  | | |   (22)  all_25_2 = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | BETA: splitting (2) gives:
% 245.51/49.48  | | | 
% 245.51/49.48  | | | Case 1:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (23)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 &
% 245.51/49.48  | | | |           op1(e13, e13) = e13)
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | REF_CLOSE: (5), (8), (9), (13), (22), (23) are inconsistent by sub-proof
% 245.51/49.48  | | | |            #1186.
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | Case 2:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (24)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.48  | | | |           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | BETA: splitting (24) gives:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | Case 1:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | |   (25)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | ALPHA: (25) implies:
% 245.51/49.48  | | | | |   (26)  op1(e13, e12) = e13
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | REF_CLOSE: (4), (8), (10), (26) are inconsistent by sub-proof #1334.
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | Case 2:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | |   (27)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.51/49.48  | | | | |           op1(e13, e10) = e13)
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | BETA: splitting (27) gives:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | Case 1:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (28)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | REF_CLOSE: (4), (18), (28) are inconsistent by sub-proof #1094.
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | Case 2:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (29)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | ALPHA: (29) implies:
% 245.51/49.48  | | | | | |   (30)  all_25_17 = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | BETA: splitting (15) gives:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | Case 1:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 &
% 245.51/49.48  | | | | | | |           op1(e13, e13) = e12)
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | REF_CLOSE: (3), (8), (13), (17), (22), (31) are inconsistent by
% 245.51/49.48  | | | | | | |            sub-proof #1187.
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | Case 2:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (32)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12
% 245.51/49.48  | | | | | | |           & op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13,
% 245.51/49.48  | | | | | | |             e10) = e12)
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | BETA: splitting (32) gives:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | Case 1:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (33)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | REF_CLOSE: (8), (10), (14), (33) are inconsistent by sub-proof
% 245.51/49.48  | | | | | | | |            #1337.
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | Case 2:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (34)  (all_25_10 = e12 & op1(e13, e11) = e12) | (all_25_17 =
% 245.51/49.48  | | | | | | | |           e12 & op1(e13, e10) = e12)
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | BETA: splitting (34) gives:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | Case 1:
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | |   (35)  all_25_10 = e12 & op1(e13, e11) = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | ALPHA: (35) implies:
% 245.51/49.48  | | | | | | | | |   (36)  all_25_10 = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | COMBINE_EQS: (18), (36) imply:
% 245.51/49.48  | | | | | | | | |   (37)  e12 = e10
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | REDUCE: (14), (37) imply:
% 245.51/49.48  | | | | | | | | |   (38)  $false
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | CLOSE: (38) is inconsistent.
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | Case 2:
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | |   (39)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | REF_CLOSE: (12), (30), (39) are inconsistent by sub-proof
% 245.51/49.48  | | | | | | | | |            #1093.
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | End of split
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | End of split
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | End of split
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | End of split
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | End of split
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | End of split
% 245.51/49.48  | | | 
% 245.51/49.48  | | Case 2:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (40)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | ALPHA: (40) implies:
% 245.51/49.48  | | |   (41)  op1(e13, e13) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | GROUND_INST: instantiating (8) with e14, e10, e11, e13, simplifying with
% 245.51/49.48  | | |              (7), (19) gives:
% 245.51/49.48  | | |   (42)  e14 = e10
% 245.51/49.48  | | | 
% 245.51/49.48  | | | GROUND_INST: instantiating (8) with e11, e14, e13, e13, simplifying with
% 245.51/49.48  | | |              (13), (41) gives:
% 245.51/49.48  | | |   (43)  e14 = e11
% 245.51/49.48  | | | 
% 245.51/49.48  | | | COMBINE_EQS: (42), (43) imply:
% 245.51/49.48  | | |   (44)  e11 = e10
% 245.51/49.48  | | | 
% 245.51/49.48  | | | REDUCE: (11), (44) imply:
% 245.51/49.48  | | |   (45)  $false
% 245.51/49.48  | | | 
% 245.51/49.48  | | | CLOSE: (45) is inconsistent.
% 245.51/49.48  | | | 
% 245.51/49.48  | | End of split
% 245.51/49.48  | | 
% 245.51/49.48  | Case 2:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (46)  (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 & op1(e13,
% 245.51/49.48  | |             e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.48  | | 
% 245.51/49.48  | | BETA: splitting (46) gives:
% 245.51/49.48  | | 
% 245.51/49.48  | | Case 1:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (47)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | ALPHA: (47) implies:
% 245.51/49.48  | | |   (48)  op1(e13, e12) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | REF_CLOSE: (1), (8), (10), (48) are inconsistent by sub-proof #1286.
% 245.51/49.48  | | | 
% 245.51/49.48  | | Case 2:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (49)  (all_25_10 = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 &
% 245.51/49.48  | | |           op1(e13, e10) = e14)
% 245.51/49.48  | | | 
% 245.51/49.48  | | | BETA: splitting (49) gives:
% 245.51/49.48  | | | 
% 245.51/49.48  | | | Case 1:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (50)  all_25_10 = e14 & op1(e13, e11) = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | ALPHA: (50) implies:
% 245.51/49.48  | | | |   (51)  all_25_10 = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | COMBINE_EQS: (18), (51) imply:
% 245.51/49.48  | | | |   (52)  e14 = e10
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | SIMP: (52) implies:
% 245.51/49.48  | | | |   (53)  e14 = e10
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | REDUCE: (1), (53) imply:
% 245.51/49.48  | | | |   (54)  $false
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | CLOSE: (54) is inconsistent.
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | Case 2:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (55)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | ALPHA: (55) implies:
% 245.51/49.48  | | | |   (56)  all_25_17 = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | BETA: splitting (2) gives:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | Case 1:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | |   (57)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 &
% 245.51/49.48  | | | | |           op1(e13, e13) = e13)
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | BETA: splitting (57) gives:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | Case 1:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (58)  all_25_2 = e13 & op1(e13, e14) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | ALPHA: (58) implies:
% 245.51/49.48  | | | | | |   (59)  all_25_2 = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | BETA: splitting (15) gives:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | Case 1:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (60)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 &
% 245.51/49.48  | | | | | | |           op1(e13, e13) = e12)
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | BETA: splitting (60) gives:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | Case 1:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (61)  all_25_2 = e12 & op1(e13, e14) = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | ALPHA: (61) implies:
% 245.51/49.48  | | | | | | | |   (62)  all_25_2 = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | COMBINE_EQS: (59), (62) imply:
% 245.51/49.48  | | | | | | | |   (63)  e13 = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | REDUCE: (12), (63) imply:
% 245.51/49.48  | | | | | | | |   (64)  $false
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | CLOSE: (64) is inconsistent.
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | Case 2:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (65)  all_25_3 = e12 & op1(e13, e13) = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | REF_CLOSE: (3), (8), (13), (65) are inconsistent by sub-proof
% 245.51/49.48  | | | | | | | |            #1338.
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | End of split
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | Case 2:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (66)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12
% 245.51/49.48  | | | | | | |           & op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13,
% 245.51/49.48  | | | | | | |             e10) = e12)
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | BETA: splitting (66) gives:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | Case 1:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (67)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | REF_CLOSE: (8), (10), (14), (67) are inconsistent by sub-proof
% 245.51/49.48  | | | | | | | |            #1337.
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | Case 2:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | |   (68)  (all_25_10 = e12 & op1(e13, e11) = e12) | (all_25_17 =
% 245.51/49.48  | | | | | | | |           e12 & op1(e13, e10) = e12)
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | BETA: splitting (68) gives:
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | | Case 1:
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | |   (69)  all_25_10 = e12 & op1(e13, e11) = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | ALPHA: (69) implies:
% 245.51/49.48  | | | | | | | | |   (70)  all_25_10 = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | COMBINE_EQS: (18), (70) imply:
% 245.51/49.48  | | | | | | | | |   (71)  e12 = e10
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | SIMP: (71) implies:
% 245.51/49.48  | | | | | | | | |   (72)  e12 = e10
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | REDUCE: (14), (72) imply:
% 245.51/49.48  | | | | | | | | |   (73)  $false
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | CLOSE: (73) is inconsistent.
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | Case 2:
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | |   (74)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | ALPHA: (74) implies:
% 245.51/49.48  | | | | | | | | |   (75)  all_25_17 = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | COMBINE_EQS: (56), (75) imply:
% 245.51/49.48  | | | | | | | | |   (76)  e14 = e12
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | REDUCE: (17), (76) imply:
% 245.51/49.48  | | | | | | | | |   (77)  $false
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | | CLOSE: (77) is inconsistent.
% 245.51/49.48  | | | | | | | | | 
% 245.51/49.48  | | | | | | | | End of split
% 245.51/49.48  | | | | | | | | 
% 245.51/49.48  | | | | | | | End of split
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | End of split
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | Case 2:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (78)  all_25_3 = e13 & op1(e13, e13) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | REF_CLOSE: (8), (9), (13), (78) are inconsistent by sub-proof #1335.
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | End of split
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | Case 2:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | |   (79)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.48  | | | | |           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) =
% 245.51/49.48  | | | | |           e13)
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | BETA: splitting (79) gives:
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | | Case 1:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (80)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | ALPHA: (80) implies:
% 245.51/49.48  | | | | | |   (81)  op1(e13, e12) = e13
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | REF_CLOSE: (4), (8), (10), (81) are inconsistent by sub-proof #1334.
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | Case 2:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | |   (82)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.51/49.48  | | | | | |           op1(e13, e10) = e13)
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | BETA: splitting (82) gives:
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | | Case 1:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (83)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | REF_CLOSE: (4), (18), (83) are inconsistent by sub-proof #1094.
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | Case 2:
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | |   (84)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | | REF_CLOSE: (5), (56), (84) are inconsistent by sub-proof #1137.
% 245.51/49.48  | | | | | | | 
% 245.51/49.48  | | | | | | End of split
% 245.51/49.48  | | | | | | 
% 245.51/49.48  | | | | | End of split
% 245.51/49.48  | | | | | 
% 245.51/49.48  | | | | End of split
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | End of split
% 245.51/49.48  | | | 
% 245.51/49.48  | | End of split
% 245.51/49.48  | | 
% 245.51/49.48  | End of split
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1093 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.51/49.48    (2)  all_25_17 = e13
% 245.51/49.48    (3)   ~ (e13 = e12)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | ALPHA: (1) implies:
% 245.51/49.48  |   (4)  all_25_17 = e12
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.48  |   (5)  e13 = e12
% 245.51/49.48  | 
% 245.51/49.48  | REDUCE: (3), (5) imply:
% 245.51/49.48  |   (6)  $false
% 245.51/49.48  | 
% 245.51/49.48  | CLOSE: (6) is inconsistent.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1094 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.51/49.48    (2)  all_25_10 = e10
% 245.51/49.48    (3)   ~ (e13 = e10)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | ALPHA: (1) implies:
% 245.51/49.48  |   (4)  all_25_10 = e13
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (2), (4) imply:
% 245.51/49.48  |   (5)  e13 = e10
% 245.51/49.48  | 
% 245.51/49.48  | REDUCE: (3), (5) imply:
% 245.51/49.48  |   (6)  $false
% 245.51/49.48  | 
% 245.51/49.48  | CLOSE: (6) is inconsistent.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1095 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.48             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.48           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.48    (2)   ~ (e14 = e10)
% 245.51/49.48    (3)  all_25_1 = e12
% 245.51/49.48    (4)  all_25_24 = e10
% 245.51/49.48    (5)  all_25_4 = e13
% 245.51/49.48    (6)  all_25_20 = e14
% 245.51/49.48    (7)   ~ (all_14_12 = e13)
% 245.51/49.48    (8)   ~ (e12 = e11)
% 245.51/49.48    (9)   ~ (e14 = e11)
% 245.51/49.48    (10)  all_25_3 = e11
% 245.51/49.48    (11)  op1(e10, e13) = e13
% 245.51/49.48    (12)   ~ (e13 = e10)
% 245.51/49.48    (13)  op1(e11, e12) = all_14_13
% 245.51/49.48    (14)   ~ (e14 = e13)
% 245.51/49.48    (15)  all_25_13 = e14
% 245.51/49.48    (16)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.48            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.48            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.48    (17)  op1(e13, unit1) = e13
% 245.51/49.48    (18)  all_25_21 = e13
% 245.51/49.48    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.48            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.48    (20)   ~ (e13 = e11)
% 245.51/49.48    (21)  op1(e13, e12) = e10
% 245.51/49.48    (22)   ~ (e11 = e10)
% 245.51/49.48    (23)  all_25_7 = e10
% 245.51/49.48    (24)   ~ (all_14_13 = e13)
% 245.51/49.48    (25)   ~ (all_14_14 = e13)
% 245.51/49.48    (26)  op1(e12, e12) = all_14_12
% 245.51/49.48    (27)  op1(e10, unit1) = e10
% 245.51/49.48    (28)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.48    (29)  op1(e14, e12) = all_14_10
% 245.51/49.48    (30)   ~ (all_14_10 = e12)
% 245.51/49.48    (31)   ~ (all_14_19 = e10)
% 245.51/49.48    (32)  op1(unit1, e12) = e12
% 245.51/49.48    (33)  op1(e10, e11) = all_14_19
% 245.51/49.48    (34)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.48            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.48            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.51/49.48    (35)  op1(e10, e12) = all_14_14
% 245.51/49.48    (36)   ~ (e14 = e12)
% 245.51/49.48    (37)  all_25_23 = e12
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | BETA: splitting (1) gives:
% 245.51/49.48  | 
% 245.51/49.48  | Case 1:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (38)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.51/49.48  | |           op1(e10, e13) = e11)
% 245.51/49.48  | | 
% 245.51/49.48  | | BETA: splitting (38) gives:
% 245.51/49.48  | | 
% 245.51/49.48  | | Case 1:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (39)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.51/49.48  | | | 
% 245.51/49.48  | | | REF_CLOSE: (2), (3), (6), (9), (10), (11), (14), (15), (19), (23), (34),
% 245.51/49.48  | | |            (36), (39) are inconsistent by sub-proof #1141.
% 245.51/49.48  | | | 
% 245.51/49.48  | | Case 2:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (40)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.51/49.48  | | | 
% 245.51/49.48  | | | ALPHA: (40) implies:
% 245.51/49.48  | | |   (41)  all_25_21 = e11
% 245.51/49.48  | | | 
% 245.51/49.48  | | | COMBINE_EQS: (18), (41) imply:
% 245.51/49.48  | | |   (42)  e13 = e11
% 245.51/49.48  | | | 
% 245.51/49.48  | | | REF_CLOSE: (5), (7), (12), (13), (16), (19), (20), (21), (24), (25), (26),
% 245.51/49.48  | | |            (35), (42) are inconsistent by sub-proof #1172.
% 245.51/49.48  | | | 
% 245.51/49.48  | | End of split
% 245.51/49.48  | | 
% 245.51/49.48  | Case 2:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (43)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.51/49.48  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.48  | | 
% 245.51/49.48  | | REF_CLOSE: (4), (8), (12), (17), (19), (21), (22), (27), (28), (29), (30),
% 245.51/49.48  | |            (31), (32), (33), (37), (43) are inconsistent by sub-proof #1200.
% 245.51/49.48  | | 
% 245.51/49.48  | End of split
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1096 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)   ~ (e14 = e10)
% 245.51/49.48    (2)  all_25_14 = e12
% 245.51/49.48    (3)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.51/49.48             e13) = e14) | (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 =
% 245.51/49.48           e14 & op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.48    (4)   ~ (e14 = e11)
% 245.51/49.48    (5)  all_25_19 = e11
% 245.51/49.48    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.48           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.48    (7)  all_25_13 = e10
% 245.51/49.48    (8)  all_25_12 = e10
% 245.51/49.48    (9)   ~ (all_14_18 = e14)
% 245.51/49.48    (10)  op1(e11, e11) = all_14_18
% 245.51/49.48    (11)   ~ (e14 = e12)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | BETA: splitting (3) gives:
% 245.51/49.48  | 
% 245.51/49.48  | Case 1:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (12)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 &
% 245.51/49.48  | |           op1(e11, e13) = e14)
% 245.51/49.48  | | 
% 245.51/49.48  | | REF_CLOSE: (1), (7), (8), (12) are inconsistent by sub-proof #1099.
% 245.51/49.48  | | 
% 245.51/49.48  | Case 2:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (13)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_15 = e14 &
% 245.51/49.48  | |           op1(e11, e11) = e14) | (all_25_19 = e14 & op1(e11, e10) = e14)
% 245.51/49.48  | | 
% 245.51/49.48  | | BETA: splitting (13) gives:
% 245.51/49.48  | | 
% 245.51/49.48  | | Case 1:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (14)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.51/49.48  | | | 
% 245.51/49.48  | | | REF_CLOSE: (2), (11), (14) are inconsistent by sub-proof #1116.
% 245.51/49.48  | | | 
% 245.51/49.48  | | Case 2:
% 245.51/49.48  | | | 
% 245.51/49.48  | | |   (15)  (all_25_15 = e14 & op1(e11, e11) = e14) | (all_25_19 = e14 &
% 245.51/49.48  | | |           op1(e11, e10) = e14)
% 245.51/49.48  | | | 
% 245.51/49.48  | | | BETA: splitting (15) gives:
% 245.51/49.48  | | | 
% 245.51/49.48  | | | Case 1:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (16)  all_25_15 = e14 & op1(e11, e11) = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | ALPHA: (16) implies:
% 245.51/49.48  | | | |   (17)  op1(e11, e11) = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | REF_CLOSE: (6), (9), (10), (17) are inconsistent by sub-proof #1098.
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | Case 2:
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | |   (18)  all_25_19 = e14 & op1(e11, e10) = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | ALPHA: (18) implies:
% 245.51/49.48  | | | |   (19)  all_25_19 = e14
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #1097.
% 245.51/49.48  | | | | 
% 245.51/49.48  | | | End of split
% 245.51/49.48  | | | 
% 245.51/49.48  | | End of split
% 245.51/49.48  | | 
% 245.51/49.48  | End of split
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1097 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  all_25_19 = e14
% 245.51/49.48    (2)  all_25_19 = e11
% 245.51/49.48    (3)   ~ (e14 = e11)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (1), (2) imply:
% 245.51/49.48  |   (4)  e14 = e11
% 245.51/49.48  | 
% 245.51/49.48  | SIMP: (4) implies:
% 245.51/49.48  |   (5)  e14 = e11
% 245.51/49.48  | 
% 245.51/49.48  | REDUCE: (3), (5) imply:
% 245.51/49.48  |   (6)  $false
% 245.51/49.48  | 
% 245.51/49.48  | CLOSE: (6) is inconsistent.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1098 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.48           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.48    (2)  op1(e11, e11) = all_14_18
% 245.51/49.48    (3)  op1(e11, e11) = e14
% 245.51/49.48    (4)   ~ (all_14_18 = e14)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | GROUND_INST: instantiating (1) with all_14_18, e14, e11, e11, simplifying with
% 245.51/49.48  |              (2), (3) gives:
% 245.51/49.48  |   (5)  all_14_18 = e14
% 245.51/49.48  | 
% 245.51/49.48  | REDUCE: (4), (5) imply:
% 245.51/49.48  |   (6)  $false
% 245.51/49.48  | 
% 245.51/49.48  | CLOSE: (6) is inconsistent.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1099 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_13 = e14 & op1(e11,
% 245.51/49.48             e13) = e14)
% 245.51/49.48    (2)  all_25_12 = e10
% 245.51/49.48    (3)   ~ (e14 = e10)
% 245.51/49.48    (4)  all_25_13 = e10
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | BETA: splitting (1) gives:
% 245.51/49.48  | 
% 245.51/49.48  | Case 1:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (5)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.51/49.48  | | 
% 245.51/49.48  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1178.
% 245.51/49.48  | | 
% 245.51/49.48  | Case 2:
% 245.51/49.48  | | 
% 245.51/49.48  | |   (6)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.51/49.48  | | 
% 245.51/49.48  | | ALPHA: (6) implies:
% 245.51/49.48  | |   (7)  all_25_13 = e14
% 245.51/49.48  | | 
% 245.51/49.48  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1275.
% 245.51/49.48  | | 
% 245.51/49.48  | End of split
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1100 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)   ~ (e14 = e10)
% 245.51/49.48    (2)  all_25_1 = e12
% 245.51/49.48    (3)   ~ (e14 = e11)
% 245.51/49.48    (4)  all_25_3 = e11
% 245.51/49.48    (5)  op1(e10, e13) = e13
% 245.51/49.48    (6)   ~ (e14 = e13)
% 245.51/49.48    (7)  all_25_13 = e14
% 245.51/49.48    (8)  all_25_8 = e14
% 245.51/49.48    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.48           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.48    (10)  all_25_7 = e10
% 245.51/49.48    (11)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.51/49.48    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.48            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.48            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.51/49.48    (13)   ~ (e14 = e12)
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | ALPHA: (11) implies:
% 245.51/49.48  |   (14)  all_25_8 = e11
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (8), (14) imply:
% 245.51/49.48  |   (15)  e14 = e11
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (7), (15) imply:
% 245.51/49.48  |   (16)  all_25_13 = e11
% 245.51/49.48  | 
% 245.51/49.48  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (12), (13), (16) are
% 245.51/49.48  |            inconsistent by sub-proof #1169.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1101 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.48             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.48           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.48    (2)   ~ (e14 = e10)
% 245.51/49.48    (3)  all_25_14 = e12
% 245.51/49.48    (4)  all_25_2 = e12
% 245.51/49.48    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.48    (6)  all_25_1 = e12
% 245.51/49.48    (7)  all_25_24 = e10
% 245.51/49.48    (8)  all_25_4 = e13
% 245.51/49.48    (9)   ~ (all_14_12 = e13)
% 245.51/49.48    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.48            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.48            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.48    (11)   ~ (e12 = e11)
% 245.51/49.48    (12)   ~ (e14 = e11)
% 245.51/49.48    (13)  all_25_3 = e11
% 245.51/49.48    (14)  op1(e10, e13) = e13
% 245.51/49.48    (15)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.51/49.48            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.48            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.48    (16)   ~ (e13 = e10)
% 245.51/49.48    (17)  op1(e11, e12) = all_14_13
% 245.51/49.48    (18)   ~ (e14 = e13)
% 245.51/49.48    (19)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.48            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.48            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.48    (20)  op1(e14, e11) = all_14_15
% 245.51/49.48    (21)  op1(e13, unit1) = e13
% 245.51/49.48    (22)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.51/49.48            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.51/49.48            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.51/49.48    (23)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.51/49.48            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.51/49.48            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.51/49.48    (24)  op1(e13, e11) = e14
% 245.51/49.48    (25)  all_25_19 = e11
% 245.51/49.48    (26)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.51/49.48              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.51/49.48            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.48    (27)  all_25_21 = e13
% 245.51/49.48    (28)  e11 = e10
% 245.51/49.48    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.48            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.48    (30)  all_25_15 = e13
% 245.51/49.48    (31)   ~ (e13 = e11)
% 245.51/49.48    (32)  op1(e13, e12) = e10
% 245.51/49.48    (33)   ~ (e11 = e10)
% 245.51/49.48    (34)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.51/49.48            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.51/49.48            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.48    (35)   ~ (e13 = e12)
% 245.51/49.48    (36)  op1(e13, e13) = e11
% 245.51/49.48    (37)   ~ (all_14_13 = e13)
% 245.51/49.48    (38)   ~ (e12 = e10)
% 245.51/49.48    (39)  all_25_6 = e13
% 245.51/49.48    (40)   ~ (all_14_14 = e13)
% 245.51/49.48    (41)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.48            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.48            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.48    (42)   ~ (all_14_15 = e14)
% 245.51/49.48    (43)   ~ (all_14_19 = e13)
% 245.51/49.48    (44)  op1(e14, e10) = all_14_20
% 245.51/49.48    (45)  op1(e12, e12) = all_14_12
% 245.51/49.48    (46)  op1(e10, unit1) = e10
% 245.51/49.48    (47)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.48    (48)  op1(unit1, e14) = e14
% 245.51/49.48    (49)  op1(e14, e12) = all_14_10
% 245.51/49.48    (50)  all_25_18 = e12
% 245.51/49.48    (51)   ~ (all_14_10 = e12)
% 245.51/49.48    (52)   ~ (all_14_20 = e10)
% 245.51/49.48    (53)   ~ (all_14_19 = e10)
% 245.51/49.48    (54)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.51/49.48            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.51/49.48            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.48    (55)  op1(unit1, e12) = e12
% 245.51/49.48    (56)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.51/49.48              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.51/49.48            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.51/49.48    (57)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.48            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.51/49.48            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.51/49.48    (58)  op1(e10, e11) = all_14_19
% 245.51/49.48    (59)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.51/49.48            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.51/49.48            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.51/49.48    (60)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.51/49.48            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.51/49.48            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.51/49.48    (61)  op1(e10, e12) = all_14_14
% 245.51/49.48    (62)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 245.51/49.48            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.51/49.48            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.51/49.48    (63)  op1(e13, e14) = e12
% 245.51/49.48    (64)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.51/49.48            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.51/49.48            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.51/49.48    (65)   ~ (e14 = e12)
% 245.51/49.48    (66)  all_25_23 = e12
% 245.51/49.48    (67)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.51/49.48            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.51/49.48            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.51/49.48    (68)  all_25_17 = e13
% 245.51/49.48  
% 245.51/49.48  Begin of proof
% 245.51/49.48  | 
% 245.51/49.48  | SIMP: (28) implies:
% 245.51/49.48  |   (69)  e11 = e10
% 245.51/49.48  | 
% 245.51/49.48  | COMBINE_EQS: (25), (69) imply:
% 245.51/49.48  |   (70)  all_25_19 = e10
% 245.51/49.48  | 
% 245.51/49.48  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.51/49.48  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 245.51/49.48  |            (24), (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.51/49.48  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 245.51/49.48  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 245.51/49.48  |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (70)
% 245.51/49.48  |            are inconsistent by sub-proof #1102.
% 245.51/49.48  | 
% 245.51/49.48  End of proof
% 245.51/49.48  
% 245.51/49.48  Sub-proof #1102 shows that the following formulas are inconsistent:
% 245.51/49.48  ----------------------------------------------------------------
% 245.51/49.48    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.51/49.48             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.51/49.48           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.51/49.48    (2)   ~ (e14 = e10)
% 245.51/49.48    (3)  all_25_14 = e12
% 245.51/49.48    (4)  all_25_2 = e12
% 245.51/49.48    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.51/49.48           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.51/49.48           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.51/49.48    (6)  all_25_1 = e12
% 245.51/49.48    (7)  all_25_24 = e10
% 245.51/49.48    (8)  all_25_4 = e13
% 245.51/49.48    (9)   ~ (all_14_12 = e13)
% 245.51/49.48    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.51/49.48            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.51/49.48            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.51/49.48    (11)   ~ (e12 = e11)
% 245.51/49.48    (12)   ~ (e14 = e11)
% 245.51/49.48    (13)  all_25_3 = e11
% 245.51/49.48    (14)  op1(e10, e13) = e13
% 245.51/49.48    (15)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.51/49.48            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.51/49.48            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.51/49.48    (16)   ~ (e13 = e10)
% 245.51/49.48    (17)  op1(e11, e12) = all_14_13
% 245.51/49.48    (18)   ~ (e14 = e13)
% 245.51/49.48    (19)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.51/49.48            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.51/49.48            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.51/49.48    (20)  op1(e14, e11) = all_14_15
% 245.51/49.48    (21)  op1(e13, unit1) = e13
% 245.51/49.49    (22)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.51/49.49            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.51/49.49            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.51/49.49    (23)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.51/49.49            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.51/49.49            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.51/49.49    (24)  op1(e13, e11) = e14
% 245.51/49.49    (25)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 & op1(e11,
% 245.51/49.49              e13) = e11) | (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 =
% 245.51/49.49            e11 & op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.51/49.49    (26)  all_25_21 = e13
% 245.51/49.49    (27)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.51/49.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.51/49.49    (28)  all_25_15 = e13
% 245.51/49.49    (29)   ~ (e13 = e11)
% 245.51/49.49    (30)  op1(e13, e12) = e10
% 245.51/49.49    (31)   ~ (e11 = e10)
% 245.51/49.49    (32)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.51/49.49            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.51/49.49            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.51/49.49    (33)   ~ (e13 = e12)
% 245.51/49.49    (34)  op1(e13, e13) = e11
% 245.51/49.49    (35)   ~ (all_14_13 = e13)
% 245.51/49.49    (36)   ~ (e12 = e10)
% 245.51/49.49    (37)  all_25_6 = e13
% 245.51/49.49    (38)   ~ (all_14_14 = e13)
% 245.51/49.49    (39)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.51/49.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.51/49.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.51/49.49    (40)  all_25_19 = e10
% 245.51/49.49    (41)   ~ (all_14_15 = e14)
% 245.51/49.49    (42)   ~ (all_14_19 = e13)
% 245.51/49.49    (43)  op1(e14, e10) = all_14_20
% 245.51/49.49    (44)  op1(e12, e12) = all_14_12
% 245.51/49.49    (45)  op1(e10, unit1) = e10
% 245.51/49.49    (46)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.51/49.49    (47)  op1(unit1, e14) = e14
% 245.51/49.49    (48)  op1(e14, e12) = all_14_10
% 245.51/49.49    (49)  all_25_18 = e12
% 245.51/49.49    (50)   ~ (all_14_10 = e12)
% 245.51/49.49    (51)   ~ (all_14_20 = e10)
% 245.51/49.49    (52)   ~ (all_14_19 = e10)
% 245.51/49.49    (53)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.51/49.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.51/49.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.51/49.49    (54)  op1(unit1, e12) = e12
% 245.51/49.49    (55)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.51/49.49              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.51/49.49            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.55/49.49    (56)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.49    (57)  op1(e10, e11) = all_14_19
% 245.55/49.49    (58)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49    (59)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.49            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.49            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.49    (60)  op1(e10, e12) = all_14_14
% 245.55/49.49    (61)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 245.55/49.49            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.55/49.49            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.49    (62)  op1(e13, e14) = e12
% 245.55/49.49    (63)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.49            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.49            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.49    (64)   ~ (e14 = e12)
% 245.55/49.49    (65)  all_25_23 = e12
% 245.55/49.49    (66)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.55/49.49            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.49            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.49    (67)  all_25_17 = e13
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | BETA: splitting (25) gives:
% 245.55/49.49  | 
% 245.55/49.49  | Case 1:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (68)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_13 = e11 &
% 245.55/49.49  | |           op1(e11, e13) = e11)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (68) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (69)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.55/49.49  | | | 
% 245.55/49.49  | | | ALPHA: (69) implies:
% 245.55/49.49  | | |   (70)  all_25_12 = e11
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.55/49.49  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.55/49.49  | | |            (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 245.55/49.49  | | |            (37), (38), (39), (41), (43), (44), (45), (46), (48), (50),
% 245.55/49.49  | | |            (51), (52), (54), (56), (57), (60), (63), (64), (65), (67),
% 245.55/49.49  | | |            (70) are inconsistent by sub-proof #1120.
% 245.55/49.49  | | | 
% 245.55/49.49  | | Case 2:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (71)  all_25_13 = e11 & op1(e11, e13) = e11
% 245.55/49.49  | | | 
% 245.55/49.49  | | | ALPHA: (71) implies:
% 245.55/49.49  | | |   (72)  all_25_13 = e11
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.55/49.49  | | |            (13), (14), (16), (17), (18), (19), (21), (26), (27), (29),
% 245.55/49.49  | | |            (30), (31), (33), (34), (35), (36), (37), (38), (39), (42),
% 245.55/49.49  | | |            (44), (45), (46), (47), (48), (49), (50), (52), (53), (54),
% 245.55/49.49  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (64), (65),
% 245.55/49.49  | | |            (66), (67), (72) are inconsistent by sub-proof #1109.
% 245.55/49.49  | | | 
% 245.55/49.49  | | End of split
% 245.55/49.49  | | 
% 245.55/49.49  | Case 2:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (73)  (all_25_14 = e11 & op1(e11, e12) = e11) | (all_25_15 = e11 &
% 245.55/49.49  | |           op1(e11, e11) = e11) | (all_25_19 = e11 & op1(e11, e10) = e11)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (73) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (74)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (3), (11), (74) are inconsistent by sub-proof #1108.
% 245.55/49.49  | | | 
% 245.55/49.49  | | Case 2:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (75)  (all_25_15 = e11 & op1(e11, e11) = e11) | (all_25_19 = e11 &
% 245.55/49.49  | | |           op1(e11, e10) = e11)
% 245.55/49.49  | | | 
% 245.55/49.49  | | | BETA: splitting (75) gives:
% 245.55/49.49  | | | 
% 245.55/49.49  | | | Case 1:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (76)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | REF_CLOSE: (8), (9), (16), (17), (19), (27), (28), (29), (30), (35),
% 245.55/49.49  | | | |            (38), (44), (60), (76) are inconsistent by sub-proof #1107.
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | Case 2:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (77)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | REF_CLOSE: (31), (40), (77) are inconsistent by sub-proof #1103.
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | End of split
% 245.55/49.49  | | | 
% 245.55/49.49  | | End of split
% 245.55/49.49  | | 
% 245.55/49.49  | End of split
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1103 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.55/49.49    (2)  all_25_19 = e10
% 245.55/49.49    (3)   ~ (e11 = e10)
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | ALPHA: (1) implies:
% 245.55/49.49  |   (4)  all_25_19 = e11
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.49  |   (5)  e11 = e10
% 245.55/49.49  | 
% 245.55/49.49  | SIMP: (5) implies:
% 245.55/49.49  |   (6)  e11 = e10
% 245.55/49.49  | 
% 245.55/49.49  | REDUCE: (3), (6) imply:
% 245.55/49.49  |   (7)  $false
% 245.55/49.49  | 
% 245.55/49.49  | CLOSE: (7) is inconsistent.
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1104 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.49             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.49           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.49    (2)   ~ (e14 = e10)
% 245.55/49.49    (3)  all_25_14 = e12
% 245.55/49.49    (4)  all_25_2 = e12
% 245.55/49.49    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.49    (6)  all_25_1 = e12
% 245.55/49.49    (7)  all_25_24 = e10
% 245.55/49.49    (8)  all_25_4 = e13
% 245.55/49.49    (9)   ~ (all_14_12 = e13)
% 245.55/49.49    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.49            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.49            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.49    (11)   ~ (e12 = e11)
% 245.55/49.49    (12)   ~ (e14 = e11)
% 245.55/49.49    (13)  all_25_3 = e11
% 245.55/49.49    (14)  op1(e10, e13) = e13
% 245.55/49.49    (15)   ~ (e13 = e10)
% 245.55/49.49    (16)  op1(e11, e12) = all_14_13
% 245.55/49.49    (17)   ~ (e14 = e13)
% 245.55/49.49    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.49            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.49            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.49    (19)  op1(e13, unit1) = e13
% 245.55/49.49    (20)  all_25_21 = e13
% 245.55/49.49    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.49    (22)  all_25_13 = e10
% 245.55/49.49    (23)   ~ (e13 = e11)
% 245.55/49.49    (24)  op1(e13, e12) = e10
% 245.55/49.49    (25)   ~ (e11 = e10)
% 245.55/49.49    (26)   ~ (e13 = e12)
% 245.55/49.49    (27)  op1(e13, e13) = e11
% 245.55/49.49    (28)   ~ (all_14_13 = e13)
% 245.55/49.49    (29)   ~ (e12 = e10)
% 245.55/49.49    (30)  all_25_6 = e13
% 245.55/49.49    (31)   ~ (all_14_14 = e13)
% 245.55/49.49    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.49    (33)  all_25_7 = e14
% 245.55/49.49    (34)  op1(e12, e12) = all_14_12
% 245.55/49.49    (35)  op1(e10, unit1) = e10
% 245.55/49.49    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.49    (37)  op1(unit1, e14) = e14
% 245.55/49.49    (38)  op1(e14, e12) = all_14_10
% 245.55/49.49    (39)  all_25_18 = e12
% 245.55/49.49    (40)   ~ (all_14_10 = e12)
% 245.55/49.49    (41)   ~ (all_14_19 = e10)
% 245.55/49.49    (42)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.55/49.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.55/49.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.49    (43)  op1(unit1, e12) = e12
% 245.55/49.49    (44)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.49    (45)  op1(e10, e11) = all_14_19
% 245.55/49.49    (46)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49    (47)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.49            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.49            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.49    (48)  op1(e10, e12) = all_14_14
% 245.55/49.49    (49)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 245.55/49.49            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.55/49.49            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.49    (50)  op1(e13, e14) = e12
% 245.55/49.49    (51)   ~ (e14 = e12)
% 245.55/49.49    (52)  all_25_23 = e12
% 245.55/49.49    (53)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.55/49.49            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.49            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.49    (54)  all_25_17 = e13
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | BETA: splitting (49) gives:
% 245.55/49.49  | 
% 245.55/49.49  | Case 1:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (55)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12,
% 245.55/49.49  | |             e13) = e10)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (55) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (56)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (2), (4), (5), (8), (9), (12), (13), (15), (16), (17), (18),
% 245.55/49.49  | | |            (21), (23), (24), (26), (27), (28), (30), (31), (34), (44),
% 245.55/49.49  | | |            (48), (51), (54), (56) are inconsistent by sub-proof #1216.
% 245.55/49.49  | | | 
% 245.55/49.49  | | Case 2:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (57)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.55/49.49  | | | 
% 245.55/49.49  | | | ALPHA: (57) implies:
% 245.55/49.49  | | |   (58)  all_25_7 = e10
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (2), (33), (58) are inconsistent by sub-proof #1251.
% 245.55/49.49  | | | 
% 245.55/49.49  | | End of split
% 245.55/49.49  | | 
% 245.55/49.49  | Case 2:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (59)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 & op1(e12,
% 245.55/49.49  | |             e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (59) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (60)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.55/49.49  | | | 
% 245.55/49.49  | | | ALPHA: (60) implies:
% 245.55/49.49  | | |   (61)  all_25_8 = e10
% 245.55/49.49  | | | 
% 245.55/49.49  | | | BETA: splitting (47) gives:
% 245.55/49.49  | | | 
% 245.55/49.49  | | | Case 1:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (62)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 &
% 245.55/49.49  | | | |           op1(e13, e12) = e14)
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | REF_CLOSE: (2), (6), (8), (12), (13), (14), (17), (21), (22), (24),
% 245.55/49.49  | | | |            (33), (46), (51), (62) are inconsistent by sub-proof #1105.
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | Case 2:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (63)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.49  | | | |           op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | BETA: splitting (63) gives:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | Case 1:
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | |   (64)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | | REF_CLOSE: (2), (61), (64) are inconsistent by sub-proof #1147.
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | Case 2:
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | |   (65)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 &
% 245.55/49.49  | | | | |           op1(e10, e12) = e14)
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (11), (15), (16), (18), (19),
% 245.55/49.49  | | | | |            (20), (21), (23), (24), (25), (26), (28), (31), (34), (35),
% 245.55/49.49  | | | | |            (36), (37), (38), (40), (41), (43), (45), (48), (50), (51),
% 245.55/49.49  | | | | |            (52), (65) are inconsistent by sub-proof #1115.
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | End of split
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | End of split
% 245.55/49.49  | | | 
% 245.55/49.49  | | Case 2:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (66)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 245.55/49.49  | | |           op1(e12, e10) = e10)
% 245.55/49.49  | | | 
% 245.55/49.49  | | | BETA: splitting (66) gives:
% 245.55/49.49  | | | 
% 245.55/49.49  | | | Case 1:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (67)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | ALPHA: (67) implies:
% 245.55/49.49  | | | |   (68)  all_25_11 = e10
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.55/49.49  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 245.55/49.49  | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 245.55/49.49  | | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 245.55/49.49  | | | |            (43), (44), (45), (46), (47), (48), (50), (51), (52), (53),
% 245.55/49.49  | | | |            (54), (68) are inconsistent by sub-proof #1111.
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | Case 2:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (69)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | REF_CLOSE: (2), (4), (5), (10), (11), (12), (15), (17), (21), (23),
% 245.55/49.49  | | | |            (24), (25), (26), (27), (29), (32), (39), (44), (51), (69)
% 245.55/49.49  | | | |            are inconsistent by sub-proof #1144.
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | End of split
% 245.55/49.49  | | | 
% 245.55/49.49  | | End of split
% 245.55/49.49  | | 
% 245.55/49.49  | End of split
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1105 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)   ~ (e14 = e10)
% 245.55/49.49    (2)  all_25_1 = e12
% 245.55/49.49    (3)  all_25_4 = e13
% 245.55/49.49    (4)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.49           = e14)
% 245.55/49.49    (5)   ~ (e14 = e11)
% 245.55/49.49    (6)  all_25_3 = e11
% 245.55/49.49    (7)  op1(e10, e13) = e13
% 245.55/49.49    (8)   ~ (e14 = e13)
% 245.55/49.49    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.49    (10)  all_25_13 = e10
% 245.55/49.49    (11)  op1(e13, e12) = e10
% 245.55/49.49    (12)  all_25_7 = e14
% 245.55/49.49    (13)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49    (14)   ~ (e14 = e12)
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | BETA: splitting (4) gives:
% 245.55/49.49  | 
% 245.55/49.49  | Case 1:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (15)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.49  | | 
% 245.55/49.49  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.55/49.49  | |            (15) are inconsistent by sub-proof #1106.
% 245.55/49.49  | | 
% 245.55/49.49  | Case 2:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (16)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.55/49.49  | | 
% 245.55/49.49  | | ALPHA: (16) implies:
% 245.55/49.49  | |   (17)  op1(e13, e12) = e14
% 245.55/49.49  | | 
% 245.55/49.49  | | REF_CLOSE: (1), (9), (11), (17) are inconsistent by sub-proof #1286.
% 245.55/49.49  | | 
% 245.55/49.49  | End of split
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1106 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)   ~ (e14 = e10)
% 245.55/49.49    (2)  all_25_1 = e12
% 245.55/49.49    (3)  all_25_4 = e13
% 245.55/49.49    (4)   ~ (e14 = e11)
% 245.55/49.49    (5)  all_25_3 = e11
% 245.55/49.49    (6)  op1(e10, e13) = e13
% 245.55/49.49    (7)   ~ (e14 = e13)
% 245.55/49.49    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.49    (9)  all_25_13 = e10
% 245.55/49.49    (10)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.49    (11)  all_25_7 = e14
% 245.55/49.49    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49    (13)   ~ (e14 = e12)
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | ALPHA: (10) implies:
% 245.55/49.49  |   (14)  all_25_4 = e14
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (3), (14) imply:
% 245.55/49.49  |   (15)  e14 = e13
% 245.55/49.49  | 
% 245.55/49.49  | SIMP: (15) implies:
% 245.55/49.49  |   (16)  e14 = e13
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (11), (16) imply:
% 245.55/49.49  |   (17)  all_25_7 = e13
% 245.55/49.49  | 
% 245.55/49.49  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (13), (17) are
% 245.55/49.49  |            inconsistent by sub-proof #1272.
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1107 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)  all_25_4 = e13
% 245.55/49.49    (2)   ~ (all_14_12 = e13)
% 245.55/49.49    (3)   ~ (e13 = e10)
% 245.55/49.49    (4)  op1(e11, e12) = all_14_13
% 245.55/49.49    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.49           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.49           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.49    (6)  all_25_15 = e11 & op1(e11, e11) = e11
% 245.55/49.49    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.49           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.49    (8)  all_25_15 = e13
% 245.55/49.49    (9)   ~ (e13 = e11)
% 245.55/49.49    (10)  op1(e13, e12) = e10
% 245.55/49.49    (11)   ~ (all_14_13 = e13)
% 245.55/49.49    (12)   ~ (all_14_14 = e13)
% 245.55/49.49    (13)  op1(e12, e12) = all_14_12
% 245.55/49.49    (14)  op1(e10, e12) = all_14_14
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | ALPHA: (6) implies:
% 245.55/49.49  |   (15)  all_25_15 = e11
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (8), (15) imply:
% 245.55/49.49  |   (16)  e13 = e11
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (1), (16) imply:
% 245.55/49.49  |   (17)  all_25_4 = e11
% 245.55/49.49  | 
% 245.55/49.49  | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (14), (17)
% 245.55/49.49  |            are inconsistent by sub-proof #1239.
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1108 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)  all_25_14 = e11 & op1(e11, e12) = e11
% 245.55/49.49    (2)  all_25_14 = e12
% 245.55/49.49    (3)   ~ (e12 = e11)
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | ALPHA: (1) implies:
% 245.55/49.49  |   (4)  all_25_14 = e11
% 245.55/49.49  | 
% 245.55/49.49  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.49  |   (5)  e12 = e11
% 245.55/49.49  | 
% 245.55/49.49  | REDUCE: (3), (5) imply:
% 245.55/49.49  |   (6)  $false
% 245.55/49.49  | 
% 245.55/49.49  | CLOSE: (6) is inconsistent.
% 245.55/49.49  | 
% 245.55/49.49  End of proof
% 245.55/49.49  
% 245.55/49.49  Sub-proof #1109 shows that the following formulas are inconsistent:
% 245.55/49.49  ----------------------------------------------------------------
% 245.55/49.49    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.49             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.49           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.49    (2)   ~ (e14 = e10)
% 245.55/49.49    (3)  all_25_14 = e12
% 245.55/49.49    (4)  all_25_2 = e12
% 245.55/49.49    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.49           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.49           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.49    (6)  all_25_1 = e12
% 245.55/49.49    (7)  all_25_24 = e10
% 245.55/49.49    (8)  all_25_4 = e13
% 245.55/49.49    (9)   ~ (all_14_12 = e13)
% 245.55/49.49    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.49            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.49            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.49    (11)   ~ (e12 = e11)
% 245.55/49.49    (12)   ~ (e14 = e11)
% 245.55/49.49    (13)  all_25_3 = e11
% 245.55/49.49    (14)  op1(e10, e13) = e13
% 245.55/49.49    (15)   ~ (e13 = e10)
% 245.55/49.49    (16)  op1(e11, e12) = all_14_13
% 245.55/49.49    (17)   ~ (e14 = e13)
% 245.55/49.49    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.49            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.49            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.49    (19)  op1(e13, unit1) = e13
% 245.55/49.49    (20)  all_25_21 = e13
% 245.55/49.49    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.49            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.49    (22)   ~ (e13 = e11)
% 245.55/49.49    (23)  op1(e13, e12) = e10
% 245.55/49.49    (24)   ~ (e11 = e10)
% 245.55/49.49    (25)   ~ (e13 = e12)
% 245.55/49.49    (26)  op1(e13, e13) = e11
% 245.55/49.49    (27)   ~ (all_14_13 = e13)
% 245.55/49.49    (28)   ~ (e12 = e10)
% 245.55/49.49    (29)  all_25_6 = e13
% 245.55/49.49    (30)   ~ (all_14_14 = e13)
% 245.55/49.49    (31)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.49            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.49            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.49    (32)  all_25_13 = e11
% 245.55/49.49    (33)   ~ (all_14_19 = e13)
% 245.55/49.49    (34)  op1(e12, e12) = all_14_12
% 245.55/49.49    (35)  op1(e10, unit1) = e10
% 245.55/49.49    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.49    (37)  op1(unit1, e14) = e14
% 245.55/49.49    (38)  op1(e14, e12) = all_14_10
% 245.55/49.49    (39)  all_25_18 = e12
% 245.55/49.49    (40)   ~ (all_14_10 = e12)
% 245.55/49.49    (41)   ~ (all_14_19 = e10)
% 245.55/49.49    (42)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.55/49.49            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.55/49.49            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.49    (43)  op1(unit1, e12) = e12
% 245.55/49.49    (44)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.55/49.49              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.55/49.49            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.55/49.49    (45)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.49            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.49    (46)  op1(e10, e11) = all_14_19
% 245.55/49.49    (47)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.49            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.49            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49    (48)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.49            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.49            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.49    (49)  op1(e10, e12) = all_14_14
% 245.55/49.49    (50)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 & op1(e12, e13)
% 245.55/49.49            = e10) | (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.55/49.49            op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.49    (51)  op1(e13, e14) = e12
% 245.55/49.49    (52)   ~ (e14 = e12)
% 245.55/49.49    (53)  all_25_23 = e12
% 245.55/49.49    (54)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.55/49.49            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.49            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.49    (55)  all_25_17 = e13
% 245.55/49.49  
% 245.55/49.49  Begin of proof
% 245.55/49.49  | 
% 245.55/49.49  | BETA: splitting (47) gives:
% 245.55/49.49  | 
% 245.55/49.49  | Case 1:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (56)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.55/49.49  | |             e13) = e14)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (56) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (57)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (6), (52), (57) are inconsistent by sub-proof #1292.
% 245.55/49.49  | | | 
% 245.55/49.49  | | Case 2:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (58)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.55/49.49  | | | 
% 245.55/49.49  | | | REF_CLOSE: (12), (13), (58) are inconsistent by sub-proof #1291.
% 245.55/49.49  | | | 
% 245.55/49.49  | | End of split
% 245.55/49.49  | | 
% 245.55/49.49  | Case 2:
% 245.55/49.49  | | 
% 245.55/49.49  | |   (59)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.55/49.49  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.49  | | 
% 245.55/49.49  | | BETA: splitting (59) gives:
% 245.55/49.49  | | 
% 245.55/49.49  | | Case 1:
% 245.55/49.49  | | | 
% 245.55/49.49  | | |   (60)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.55/49.49  | | | 
% 245.55/49.49  | | | ALPHA: (60) implies:
% 245.55/49.49  | | |   (61)  all_25_7 = e14
% 245.55/49.49  | | | 
% 245.55/49.49  | | | BETA: splitting (50) gives:
% 245.55/49.49  | | | 
% 245.55/49.49  | | | Case 1:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | |   (62)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_7 = e10 &
% 245.55/49.49  | | | |           op1(e12, e13) = e10)
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | BETA: splitting (62) gives:
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | | Case 1:
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | |   (63)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | | REF_CLOSE: (2), (4), (5), (8), (9), (12), (13), (15), (16), (17),
% 245.55/49.49  | | | | |            (18), (21), (22), (23), (25), (26), (27), (29), (30), (34),
% 245.55/49.49  | | | | |            (45), (49), (52), (55), (63) are inconsistent by sub-proof
% 245.55/49.49  | | | | |            #1216.
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | Case 2:
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | |   (64)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | | ALPHA: (64) implies:
% 245.55/49.49  | | | | |   (65)  all_25_7 = e10
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | | REF_CLOSE: (2), (6), (12), (13), (14), (17), (21), (32), (47), (52),
% 245.55/49.49  | | | | |            (65) are inconsistent by sub-proof #1169.
% 245.55/49.49  | | | | | 
% 245.55/49.49  | | | | End of split
% 245.55/49.49  | | | | 
% 245.55/49.49  | | | Case 2:
% 245.55/49.49  | | | | 
% 245.55/49.50  | | | |   (66)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 &
% 245.55/49.50  | | | |           op1(e12, e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | BETA: splitting (66) gives:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | Case 1:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | |   (67)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | ALPHA: (67) implies:
% 245.55/49.50  | | | | |   (68)  all_25_8 = e10
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | BETA: splitting (48) gives:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | Case 1:
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | |   (69)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 &
% 245.55/49.50  | | | | | |           op1(e13, e12) = e14)
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 245.55/49.50  | | | | | |            (14), (15), (16), (17), (18), (20), (21), (22), (23),
% 245.55/49.50  | | | | | |            (24), (25), (26), (27), (28), (30), (31), (34), (42),
% 245.55/49.50  | | | | | |            (45), (47), (49), (52), (55), (61), (69) are inconsistent
% 245.55/49.50  | | | | | |            by sub-proof #1117.
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | Case 2:
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | |   (70)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.50  | | | | | |           op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) =
% 245.55/49.50  | | | | | |           e14)
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | BETA: splitting (70) gives:
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | Case 1:
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | |   (71)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | ALPHA: (71) implies:
% 245.55/49.50  | | | | | | |   (72)  all_25_8 = e14
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | COMBINE_EQS: (68), (72) imply:
% 245.55/49.50  | | | | | | |   (73)  e14 = e10
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | SIMP: (73) implies:
% 245.55/49.50  | | | | | | |   (74)  e14 = e10
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | COMBINE_EQS: (61), (74) imply:
% 245.55/49.50  | | | | | | |   (75)  all_25_7 = e10
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | REF_CLOSE: (2), (6), (12), (13), (14), (17), (21), (32), (47),
% 245.55/49.50  | | | | | | |            (52), (75) are inconsistent by sub-proof #1169.
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | Case 2:
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | |   (76)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14
% 245.55/49.50  | | | | | | |           & op1(e10, e12) = e14)
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (11), (15), (16), (18), (19),
% 245.55/49.50  | | | | | | |            (20), (21), (22), (23), (24), (25), (27), (30), (34),
% 245.55/49.50  | | | | | | |            (35), (36), (37), (38), (40), (41), (43), (46), (49),
% 245.55/49.50  | | | | | | |            (51), (52), (53), (76) are inconsistent by sub-proof
% 245.55/49.50  | | | | | | |            #1115.
% 245.55/49.50  | | | | | | | 
% 245.55/49.50  | | | | | | End of split
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | End of split
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | Case 2:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | |   (77)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 245.55/49.50  | | | | |           op1(e12, e10) = e10)
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | BETA: splitting (77) gives:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | Case 1:
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | |   (78)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | ALPHA: (78) implies:
% 245.55/49.50  | | | | | |   (79)  all_25_11 = e10
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 245.55/49.50  | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20),
% 245.55/49.50  | | | | | |            (21), (22), (23), (24), (25), (26), (27), (28), (29),
% 245.55/49.50  | | | | | |            (30), (31), (34), (35), (36), (37), (38), (39), (40),
% 245.55/49.50  | | | | | |            (41), (42), (43), (45), (46), (47), (48), (49), (51),
% 245.55/49.50  | | | | | |            (52), (53), (54), (55), (61), (79) are inconsistent by
% 245.55/49.50  | | | | | |            sub-proof #1111.
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | Case 2:
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | |   (80)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | | REF_CLOSE: (2), (4), (5), (10), (11), (12), (15), (17), (21), (22),
% 245.55/49.50  | | | | | |            (23), (24), (25), (26), (28), (31), (39), (45), (52),
% 245.55/49.50  | | | | | |            (80) are inconsistent by sub-proof #1144.
% 245.55/49.50  | | | | | | 
% 245.55/49.50  | | | | | End of split
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | End of split
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | End of split
% 245.55/49.50  | | | 
% 245.55/49.50  | | Case 2:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (81)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.55/49.50  | | |           op1(e10, e13) = e14)
% 245.55/49.50  | | | 
% 245.55/49.50  | | | BETA: splitting (81) gives:
% 245.55/49.50  | | | 
% 245.55/49.50  | | | Case 1:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (82)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | ALPHA: (82) implies:
% 245.55/49.50  | | | |   (83)  all_25_13 = e14
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | REF_CLOSE: (12), (32), (83) are inconsistent by sub-proof #1170.
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | Case 2:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (84)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | REF_CLOSE: (1), (2), (4), (5), (7), (11), (12), (13), (15), (17), (19),
% 245.55/49.50  | | | |            (21), (22), (23), (24), (25), (26), (30), (33), (35), (36),
% 245.55/49.50  | | | |            (38), (40), (41), (43), (44), (45), (46), (49), (52), (53),
% 245.55/49.50  | | | |            (55), (84) are inconsistent by sub-proof #1110.
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | End of split
% 245.55/49.50  | | | 
% 245.55/49.50  | | End of split
% 245.55/49.50  | | 
% 245.55/49.50  | End of split
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1110 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.50             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.50           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.50    (2)   ~ (e14 = e10)
% 245.55/49.50    (3)  all_25_2 = e12
% 245.55/49.50    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.50    (5)  all_25_24 = e10
% 245.55/49.50    (6)   ~ (e12 = e11)
% 245.55/49.50    (7)   ~ (e14 = e11)
% 245.55/49.50    (8)  all_25_3 = e11
% 245.55/49.50    (9)   ~ (e13 = e10)
% 245.55/49.50    (10)   ~ (e14 = e13)
% 245.55/49.50    (11)  op1(e13, unit1) = e13
% 245.55/49.50    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.50    (13)   ~ (e13 = e11)
% 245.55/49.50    (14)  op1(e13, e12) = e10
% 245.55/49.50    (15)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.55/49.50    (16)   ~ (e11 = e10)
% 245.55/49.50    (17)   ~ (e13 = e12)
% 245.55/49.50    (18)  op1(e13, e13) = e11
% 245.55/49.50    (19)   ~ (all_14_14 = e13)
% 245.55/49.50    (20)   ~ (all_14_19 = e13)
% 245.55/49.50    (21)  op1(e10, unit1) = e10
% 245.55/49.50    (22)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.50    (23)  op1(e14, e12) = all_14_10
% 245.55/49.50    (24)   ~ (all_14_10 = e12)
% 245.55/49.50    (25)   ~ (all_14_19 = e10)
% 245.55/49.50    (26)  op1(unit1, e12) = e12
% 245.55/49.50    (27)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.55/49.50              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.55/49.50            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.55/49.50    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.50    (29)  op1(e10, e11) = all_14_19
% 245.55/49.50    (30)  op1(e10, e12) = all_14_14
% 245.55/49.50    (31)   ~ (e14 = e12)
% 245.55/49.50    (32)  all_25_23 = e12
% 245.55/49.50    (33)  all_25_17 = e13
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | ALPHA: (15) implies:
% 245.55/49.50  |   (34)  all_25_21 = e14
% 245.55/49.50  |   (35)  op1(e10, e13) = e14
% 245.55/49.50  | 
% 245.55/49.50  | BETA: splitting (1) gives:
% 245.55/49.50  | 
% 245.55/49.50  | Case 1:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (36)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.55/49.50  | |           op1(e10, e13) = e11)
% 245.55/49.50  | | 
% 245.55/49.50  | | BETA: splitting (36) gives:
% 245.55/49.50  | | 
% 245.55/49.50  | | Case 1:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (37)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | ALPHA: (37) implies:
% 245.55/49.50  | | |   (38)  all_25_20 = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14),
% 245.55/49.50  | | |            (17), (18), (19), (20), (27), (28), (29), (30), (31), (33),
% 245.55/49.50  | | |            (35), (38) are inconsistent by sub-proof #1181.
% 245.55/49.50  | | | 
% 245.55/49.50  | | Case 2:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (39)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | ALPHA: (39) implies:
% 245.55/49.50  | | |   (40)  all_25_21 = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | COMBINE_EQS: (34), (40) imply:
% 245.55/49.50  | | |   (41)  e14 = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | REDUCE: (7), (41) imply:
% 245.55/49.50  | | |   (42)  $false
% 245.55/49.50  | | | 
% 245.55/49.50  | | | CLOSE: (42) is inconsistent.
% 245.55/49.50  | | | 
% 245.55/49.50  | | End of split
% 245.55/49.50  | | 
% 245.55/49.50  | Case 2:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (43)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.55/49.50  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (5), (6), (9), (11), (12), (14), (16), (21), (22), (23), (24),
% 245.55/49.50  | |            (25), (26), (29), (32), (43) are inconsistent by sub-proof #1122.
% 245.55/49.50  | | 
% 245.55/49.50  | End of split
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1111 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.50             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.50           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.50    (2)   ~ (e14 = e10)
% 245.55/49.50    (3)  all_25_14 = e12
% 245.55/49.50    (4)  all_25_2 = e12
% 245.55/49.50    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.50    (6)  all_25_1 = e12
% 245.55/49.50    (7)  all_25_24 = e10
% 245.55/49.50    (8)  all_25_4 = e13
% 245.55/49.50    (9)   ~ (all_14_12 = e13)
% 245.55/49.50    (10)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.50            = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.50            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.50    (11)   ~ (e12 = e11)
% 245.55/49.50    (12)   ~ (e14 = e11)
% 245.55/49.50    (13)  all_25_3 = e11
% 245.55/49.50    (14)  op1(e10, e13) = e13
% 245.55/49.50    (15)   ~ (e13 = e10)
% 245.55/49.50    (16)  op1(e11, e12) = all_14_13
% 245.55/49.50    (17)   ~ (e14 = e13)
% 245.55/49.50    (18)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.50            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.50            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.50    (19)  op1(e13, unit1) = e13
% 245.55/49.50    (20)  all_25_21 = e13
% 245.55/49.50    (21)  all_25_11 = e10
% 245.55/49.50    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.50    (23)   ~ (e13 = e11)
% 245.55/49.50    (24)  op1(e13, e12) = e10
% 245.55/49.50    (25)   ~ (e11 = e10)
% 245.55/49.50    (26)   ~ (e13 = e12)
% 245.55/49.50    (27)  op1(e13, e13) = e11
% 245.55/49.50    (28)   ~ (all_14_13 = e13)
% 245.55/49.50    (29)   ~ (e12 = e10)
% 245.55/49.50    (30)  all_25_6 = e13
% 245.55/49.50    (31)   ~ (all_14_14 = e13)
% 245.55/49.50    (32)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.50    (33)  all_25_7 = e14
% 245.55/49.50    (34)  op1(e12, e12) = all_14_12
% 245.55/49.50    (35)  op1(e10, unit1) = e10
% 245.55/49.50    (36)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.50    (37)  op1(unit1, e14) = e14
% 245.55/49.50    (38)  op1(e14, e12) = all_14_10
% 245.55/49.50    (39)  all_25_18 = e12
% 245.55/49.50    (40)   ~ (all_14_10 = e12)
% 245.55/49.50    (41)   ~ (all_14_19 = e10)
% 245.55/49.50    (42)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.55/49.50            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.55/49.50            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.50    (43)  op1(unit1, e12) = e12
% 245.55/49.50    (44)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.50    (45)  op1(e10, e11) = all_14_19
% 245.55/49.50    (46)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.50            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.50    (47)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.50            = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.50            op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.50    (48)  op1(e10, e12) = all_14_14
% 245.55/49.50    (49)  op1(e13, e14) = e12
% 245.55/49.50    (50)   ~ (e14 = e12)
% 245.55/49.50    (51)  all_25_23 = e12
% 245.55/49.50    (52)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.55/49.50            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.50            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.50    (53)  all_25_17 = e13
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | BETA: splitting (52) gives:
% 245.55/49.50  | 
% 245.55/49.50  | Case 1:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (54)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12,
% 245.55/49.50  | |             e13) = e11)
% 245.55/49.50  | | 
% 245.55/49.50  | | BETA: splitting (54) gives:
% 245.55/49.50  | | 
% 245.55/49.50  | | Case 1:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (55)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | REF_CLOSE: (8), (9), (15), (16), (18), (22), (23), (24), (28), (30), (31),
% 245.55/49.50  | | |            (34), (48), (55) are inconsistent by sub-proof #1164.
% 245.55/49.50  | | | 
% 245.55/49.50  | | Case 2:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (56)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | ALPHA: (56) implies:
% 245.55/49.50  | | |   (57)  all_25_7 = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | REF_CLOSE: (12), (33), (57) are inconsistent by sub-proof #1114.
% 245.55/49.50  | | | 
% 245.55/49.50  | | End of split
% 245.55/49.50  | | 
% 245.55/49.50  | Case 2:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (58)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 & op1(e12,
% 245.55/49.50  | |             e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.50  | | 
% 245.55/49.50  | | BETA: splitting (58) gives:
% 245.55/49.50  | | 
% 245.55/49.50  | | Case 1:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (59)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | ALPHA: (59) implies:
% 245.55/49.50  | | |   (60)  all_25_8 = e11
% 245.55/49.50  | | | 
% 245.55/49.50  | | | BETA: splitting (47) gives:
% 245.55/49.50  | | | 
% 245.55/49.50  | | | Case 1:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (61)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 &
% 245.55/49.50  | | | |           op1(e13, e12) = e14)
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 245.55/49.50  | | | |            (15), (16), (17), (18), (20), (22), (23), (24), (25), (26),
% 245.55/49.50  | | | |            (27), (28), (29), (31), (32), (33), (34), (42), (44), (46),
% 245.55/49.50  | | | |            (48), (50), (53), (61) are inconsistent by sub-proof #1117.
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | Case 2:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (62)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_14 = e14 &
% 245.55/49.50  | | | |           op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14)
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | BETA: splitting (62) gives:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | Case 1:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | |   (63)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | ALPHA: (63) implies:
% 245.55/49.50  | | | | |   (64)  all_25_8 = e14
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | REF_CLOSE: (12), (60), (64) are inconsistent by sub-proof #1113.
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | Case 2:
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | |   (65)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 &
% 245.55/49.50  | | | | |           op1(e10, e12) = e14)
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (11), (15), (16), (18), (19),
% 245.55/49.50  | | | | |            (20), (22), (23), (24), (25), (26), (28), (31), (34), (35),
% 245.55/49.50  | | | | |            (36), (37), (38), (40), (41), (43), (45), (48), (49), (50),
% 245.55/49.50  | | | | |            (51), (65) are inconsistent by sub-proof #1115.
% 245.55/49.50  | | | | | 
% 245.55/49.50  | | | | End of split
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | End of split
% 245.55/49.50  | | | 
% 245.55/49.50  | | Case 2:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (66)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 245.55/49.50  | | |           op1(e12, e10) = e11)
% 245.55/49.50  | | | 
% 245.55/49.50  | | | BETA: splitting (66) gives:
% 245.55/49.50  | | | 
% 245.55/49.50  | | | Case 1:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (67)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | REF_CLOSE: (21), (25), (67) are inconsistent by sub-proof #1112.
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | Case 2:
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | |   (68)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | | REF_CLOSE: (11), (39), (68) are inconsistent by sub-proof #1166.
% 245.55/49.50  | | | | 
% 245.55/49.50  | | | End of split
% 245.55/49.50  | | | 
% 245.55/49.50  | | End of split
% 245.55/49.50  | | 
% 245.55/49.50  | End of split
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1112 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.55/49.50    (2)  all_25_11 = e10
% 245.55/49.50    (3)   ~ (e11 = e10)
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | ALPHA: (1) implies:
% 245.55/49.50  |   (4)  all_25_11 = e11
% 245.55/49.50  | 
% 245.55/49.50  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.50  |   (5)  e11 = e10
% 245.55/49.50  | 
% 245.55/49.50  | SIMP: (5) implies:
% 245.55/49.50  |   (6)  e11 = e10
% 245.55/49.50  | 
% 245.55/49.50  | REDUCE: (3), (6) imply:
% 245.55/49.50  |   (7)  $false
% 245.55/49.50  | 
% 245.55/49.50  | CLOSE: (7) is inconsistent.
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1113 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  all_25_8 = e14
% 245.55/49.50    (2)  all_25_8 = e11
% 245.55/49.50    (3)   ~ (e14 = e11)
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | COMBINE_EQS: (1), (2) imply:
% 245.55/49.50  |   (4)  e14 = e11
% 245.55/49.50  | 
% 245.55/49.50  | SIMP: (4) implies:
% 245.55/49.50  |   (5)  e14 = e11
% 245.55/49.50  | 
% 245.55/49.50  | REDUCE: (3), (5) imply:
% 245.55/49.50  |   (6)  $false
% 245.55/49.50  | 
% 245.55/49.50  | CLOSE: (6) is inconsistent.
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1114 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  all_25_7 = e14
% 245.55/49.50    (2)  all_25_7 = e11
% 245.55/49.50    (3)   ~ (e14 = e11)
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | COMBINE_EQS: (1), (2) imply:
% 245.55/49.50  |   (4)  e14 = e11
% 245.55/49.50  | 
% 245.55/49.50  | SIMP: (4) implies:
% 245.55/49.50  |   (5)  e14 = e11
% 245.55/49.50  | 
% 245.55/49.50  | REDUCE: (3), (5) imply:
% 245.55/49.50  |   (6)  $false
% 245.55/49.50  | 
% 245.55/49.50  | CLOSE: (6) is inconsistent.
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1115 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  (all_25_14 = e14 & op1(e11, e12) = e14) | (all_25_22 = e14 & op1(e10,
% 245.55/49.50             e12) = e14)
% 245.55/49.50    (2)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.50             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.50           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.50    (3)  all_25_14 = e12
% 245.55/49.50    (4)  all_25_24 = e10
% 245.55/49.50    (5)  all_25_4 = e13
% 245.55/49.50    (6)   ~ (all_14_12 = e13)
% 245.55/49.50    (7)   ~ (e12 = e11)
% 245.55/49.50    (8)   ~ (e13 = e10)
% 245.55/49.50    (9)  op1(e11, e12) = all_14_13
% 245.55/49.50    (10)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.50            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.50            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.50    (11)  op1(e13, unit1) = e13
% 245.55/49.50    (12)  all_25_21 = e13
% 245.55/49.50    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.50    (14)   ~ (e13 = e11)
% 245.55/49.50    (15)  op1(e13, e12) = e10
% 245.55/49.50    (16)   ~ (e11 = e10)
% 245.55/49.50    (17)   ~ (e13 = e12)
% 245.55/49.50    (18)   ~ (all_14_13 = e13)
% 245.55/49.50    (19)   ~ (all_14_14 = e13)
% 245.55/49.50    (20)  op1(e12, e12) = all_14_12
% 245.55/49.50    (21)  op1(e10, unit1) = e10
% 245.55/49.50    (22)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.50    (23)  op1(unit1, e14) = e14
% 245.55/49.50    (24)  op1(e14, e12) = all_14_10
% 245.55/49.50    (25)   ~ (all_14_10 = e12)
% 245.55/49.50    (26)   ~ (all_14_19 = e10)
% 245.55/49.50    (27)  op1(unit1, e12) = e12
% 245.55/49.50    (28)  op1(e10, e11) = all_14_19
% 245.55/49.50    (29)  op1(e10, e12) = all_14_14
% 245.55/49.50    (30)  op1(e13, e14) = e12
% 245.55/49.50    (31)   ~ (e14 = e12)
% 245.55/49.50    (32)  all_25_23 = e12
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | BETA: splitting (1) gives:
% 245.55/49.50  | 
% 245.55/49.50  | Case 1:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (33)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (3), (31), (33) are inconsistent by sub-proof #1116.
% 245.55/49.50  | | 
% 245.55/49.50  | Case 2:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (34)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | ALPHA: (34) implies:
% 245.55/49.50  | |   (35)  op1(e10, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.55/49.50  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 245.55/49.50  | |            (26), (27), (28), (29), (30), (32), (35) are inconsistent by
% 245.55/49.50  | |            sub-proof #1199.
% 245.55/49.50  | | 
% 245.55/49.50  | End of split
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1116 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)  all_25_14 = e14 & op1(e11, e12) = e14
% 245.55/49.50    (2)  all_25_14 = e12
% 245.55/49.50    (3)   ~ (e14 = e12)
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | ALPHA: (1) implies:
% 245.55/49.50  |   (4)  all_25_14 = e14
% 245.55/49.50  | 
% 245.55/49.50  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.50  |   (5)  e14 = e12
% 245.55/49.50  | 
% 245.55/49.50  | SIMP: (5) implies:
% 245.55/49.50  |   (6)  e14 = e12
% 245.55/49.50  | 
% 245.55/49.50  | REDUCE: (3), (6) imply:
% 245.55/49.50  |   (7)  $false
% 245.55/49.50  | 
% 245.55/49.50  | CLOSE: (7) is inconsistent.
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1117 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)   ~ (e14 = e10)
% 245.55/49.50    (2)  all_25_2 = e12
% 245.55/49.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.50    (4)  all_25_1 = e12
% 245.55/49.50    (5)  all_25_4 = e13
% 245.55/49.50    (6)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_5 = e14 & op1(e13, e12)
% 245.55/49.50           = e14)
% 245.55/49.50    (7)   ~ (all_14_12 = e13)
% 245.55/49.50    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.50    (9)   ~ (e12 = e11)
% 245.55/49.50    (10)   ~ (e14 = e11)
% 245.55/49.50    (11)  all_25_3 = e11
% 245.55/49.50    (12)  op1(e10, e13) = e13
% 245.55/49.50    (13)   ~ (e13 = e10)
% 245.55/49.50    (14)  op1(e11, e12) = all_14_13
% 245.55/49.50    (15)   ~ (e14 = e13)
% 245.55/49.50    (16)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.50            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.50            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.50    (17)  all_25_21 = e13
% 245.55/49.50    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.50    (19)   ~ (e13 = e11)
% 245.55/49.50    (20)  op1(e13, e12) = e10
% 245.55/49.50    (21)   ~ (e11 = e10)
% 245.55/49.50    (22)   ~ (e13 = e12)
% 245.55/49.50    (23)  op1(e13, e13) = e11
% 245.55/49.50    (24)   ~ (all_14_13 = e13)
% 245.55/49.50    (25)   ~ (e12 = e10)
% 245.55/49.50    (26)   ~ (all_14_14 = e13)
% 245.55/49.50    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.50    (28)  all_25_7 = e14
% 245.55/49.50    (29)  op1(e12, e12) = all_14_12
% 245.55/49.50    (30)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.55/49.50            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.55/49.50            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.50    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.50    (32)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.50            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.50    (33)  op1(e10, e12) = all_14_14
% 245.55/49.50    (34)   ~ (e14 = e12)
% 245.55/49.50    (35)  all_25_17 = e13
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | BETA: splitting (6) gives:
% 245.55/49.50  | 
% 245.55/49.50  | Case 1:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (36)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | ALPHA: (36) implies:
% 245.55/49.50  | |   (37)  all_25_4 = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | COMBINE_EQS: (5), (37) imply:
% 245.55/49.50  | |   (38)  e14 = e13
% 245.55/49.50  | | 
% 245.55/49.50  | | SIMP: (38) implies:
% 245.55/49.50  | |   (39)  e14 = e13
% 245.55/49.50  | | 
% 245.55/49.50  | | COMBINE_EQS: (28), (39) imply:
% 245.55/49.50  | |   (40)  all_25_7 = e13
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 245.55/49.50  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.55/49.50  | |            (25), (26), (27), (29), (30), (31), (32), (33), (34), (35), (40)
% 245.55/49.50  | |            are inconsistent by sub-proof #1118.
% 245.55/49.50  | | 
% 245.55/49.50  | Case 2:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (41)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | ALPHA: (41) implies:
% 245.55/49.50  | |   (42)  op1(e13, e12) = e14
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (1), (18), (20), (42) are inconsistent by sub-proof #1286.
% 245.55/49.50  | | 
% 245.55/49.50  | End of split
% 245.55/49.50  | 
% 245.55/49.50  End of proof
% 245.55/49.50  
% 245.55/49.50  Sub-proof #1118 shows that the following formulas are inconsistent:
% 245.55/49.50  ----------------------------------------------------------------
% 245.55/49.50    (1)   ~ (e14 = e10)
% 245.55/49.50    (2)  all_25_2 = e12
% 245.55/49.50    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.50           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.50           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.50    (4)  all_25_1 = e12
% 245.55/49.50    (5)  all_25_4 = e13
% 245.55/49.50    (6)   ~ (all_14_12 = e13)
% 245.55/49.50    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.50           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.50           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.50    (8)   ~ (e12 = e11)
% 245.55/49.50    (9)   ~ (e14 = e11)
% 245.55/49.50    (10)  all_25_3 = e11
% 245.55/49.50    (11)  op1(e10, e13) = e13
% 245.55/49.50    (12)   ~ (e13 = e10)
% 245.55/49.50    (13)  op1(e11, e12) = all_14_13
% 245.55/49.50    (14)   ~ (e14 = e13)
% 245.55/49.50    (15)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.50            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.50            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.50    (16)  all_25_7 = e13
% 245.55/49.50    (17)  all_25_21 = e13
% 245.55/49.50    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.50            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.50    (19)   ~ (e13 = e11)
% 245.55/49.50    (20)  op1(e13, e12) = e10
% 245.55/49.50    (21)   ~ (e11 = e10)
% 245.55/49.50    (22)   ~ (e13 = e12)
% 245.55/49.50    (23)  op1(e13, e13) = e11
% 245.55/49.50    (24)   ~ (all_14_13 = e13)
% 245.55/49.50    (25)   ~ (e12 = e10)
% 245.55/49.50    (26)   ~ (all_14_14 = e13)
% 245.55/49.50    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.50            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.50            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.50    (28)  op1(e12, e12) = all_14_12
% 245.55/49.50    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.55/49.50            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.55/49.50            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.50    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.50            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.50    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.50            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.50            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.50    (32)  op1(e10, e12) = all_14_14
% 245.55/49.50    (33)   ~ (e14 = e12)
% 245.55/49.50    (34)  all_25_17 = e13
% 245.55/49.50  
% 245.55/49.50  Begin of proof
% 245.55/49.50  | 
% 245.55/49.50  | BETA: splitting (29) gives:
% 245.55/49.50  | 
% 245.55/49.50  | Case 1:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (35)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.55/49.50  | |             e13) = e10)
% 245.55/49.50  | | 
% 245.55/49.50  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (12), (14), (18), (19), (20),
% 245.55/49.50  | |            (21), (22), (23), (25), (27), (30), (33), (35) are inconsistent
% 245.55/49.50  | |            by sub-proof #1279.
% 245.55/49.50  | | 
% 245.55/49.50  | Case 2:
% 245.55/49.50  | | 
% 245.55/49.50  | |   (36)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.55/49.50  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.55/49.50  | | 
% 245.55/49.50  | | BETA: splitting (36) gives:
% 245.55/49.50  | | 
% 245.55/49.50  | | Case 1:
% 245.55/49.50  | | | 
% 245.55/49.50  | | |   (37)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.55/49.50  | | | 
% 245.55/49.51  | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (12), (13), (14), (15),
% 245.55/49.51  | | |            (16), (18), (19), (20), (22), (23), (24), (26), (28), (30),
% 245.55/49.51  | | |            (32), (33), (34), (37) are inconsistent by sub-proof #1119.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (38)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.55/49.51  | | |           op1(e10, e13) = e10)
% 245.55/49.51  | | | 
% 245.55/49.51  | | | BETA: splitting (38) gives:
% 245.55/49.51  | | | 
% 245.55/49.51  | | | Case 1:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (39)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | ALPHA: (39) implies:
% 245.55/49.51  | | | |   (40)  all_25_13 = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | REF_CLOSE: (1), (4), (9), (10), (11), (14), (16), (18), (31), (33), (40)
% 245.55/49.51  | | | |            are inconsistent by sub-proof #1272.
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | Case 2:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (41)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (12), (13), (14), (15),
% 245.55/49.51  | | | |            (17), (18), (19), (20), (22), (23), (24), (26), (28), (30),
% 245.55/49.51  | | | |            (32), (33), (34), (41) are inconsistent by sub-proof #1192.
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | End of split
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | End of split
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1119 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)   ~ (e14 = e10)
% 245.55/49.51    (2)  all_25_2 = e12
% 245.55/49.51    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.51           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.51           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.51    (4)  all_25_4 = e13
% 245.55/49.51    (5)   ~ (all_14_12 = e13)
% 245.55/49.51    (6)   ~ (e14 = e11)
% 245.55/49.51    (7)  all_25_3 = e11
% 245.55/49.51    (8)   ~ (e13 = e10)
% 245.55/49.51    (9)  op1(e11, e12) = all_14_13
% 245.55/49.51    (10)   ~ (e14 = e13)
% 245.55/49.51    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.51            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.51            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.51    (12)  all_25_7 = e13
% 245.55/49.51    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (14)   ~ (e13 = e11)
% 245.55/49.51    (15)  op1(e13, e12) = e10
% 245.55/49.51    (16)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.55/49.51    (17)   ~ (e13 = e12)
% 245.55/49.51    (18)  op1(e13, e13) = e11
% 245.55/49.51    (19)   ~ (all_14_13 = e13)
% 245.55/49.51    (20)   ~ (all_14_14 = e13)
% 245.55/49.51    (21)  op1(e12, e12) = all_14_12
% 245.55/49.51    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.51            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.51            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.51    (23)  op1(e10, e12) = all_14_14
% 245.55/49.51    (24)   ~ (e14 = e12)
% 245.55/49.51    (25)  all_25_17 = e13
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | ALPHA: (16) implies:
% 245.55/49.51  |   (26)  all_25_7 = e10
% 245.55/49.51  | 
% 245.55/49.51  | COMBINE_EQS: (12), (26) imply:
% 245.55/49.51  |   (27)  e13 = e10
% 245.55/49.51  | 
% 245.55/49.51  | COMBINE_EQS: (4), (27) imply:
% 245.55/49.51  |   (28)  all_25_4 = e10
% 245.55/49.51  | 
% 245.55/49.51  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.55/49.51  |            (15), (17), (18), (19), (20), (21), (22), (23), (24), (25), (28)
% 245.55/49.51  |            are inconsistent by sub-proof #1242.
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1120 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.51             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.51           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51    (2)   ~ (e14 = e10)
% 245.55/49.51    (3)  all_25_2 = e12
% 245.55/49.51    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.51           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.51           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.51    (5)  all_25_1 = e12
% 245.55/49.51    (6)  all_25_24 = e10
% 245.55/49.51    (7)  all_25_4 = e13
% 245.55/49.51    (8)   ~ (all_14_12 = e13)
% 245.55/49.51    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.51           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.51           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.51    (10)   ~ (e12 = e11)
% 245.55/49.51    (11)   ~ (e14 = e11)
% 245.55/49.51    (12)  all_25_3 = e11
% 245.55/49.51    (13)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.51            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.51            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.51    (14)   ~ (e13 = e10)
% 245.55/49.51    (15)  op1(e11, e12) = all_14_13
% 245.55/49.51    (16)   ~ (e14 = e13)
% 245.55/49.51    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.51            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.51            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.51    (18)  op1(e14, e11) = all_14_15
% 245.55/49.51    (19)  op1(e13, unit1) = e13
% 245.55/49.51    (20)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.55/49.51            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.55/49.51            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.51    (21)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.55/49.51            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.55/49.51            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.55/49.51    (22)  op1(e13, e11) = e14
% 245.55/49.51    (23)  all_25_21 = e13
% 245.55/49.51    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (25)   ~ (e13 = e11)
% 245.55/49.51    (26)  op1(e13, e12) = e10
% 245.55/49.51    (27)   ~ (e11 = e10)
% 245.55/49.51    (28)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.55/49.51            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.55/49.51            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.55/49.51    (29)   ~ (e13 = e12)
% 245.55/49.51    (30)  op1(e13, e13) = e11
% 245.55/49.51    (31)   ~ (all_14_13 = e13)
% 245.55/49.51    (32)   ~ (e12 = e10)
% 245.55/49.51    (33)  all_25_12 = e11
% 245.55/49.51    (34)  all_25_6 = e13
% 245.55/49.51    (35)   ~ (all_14_14 = e13)
% 245.55/49.51    (36)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.51            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.51            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.51    (37)   ~ (all_14_15 = e14)
% 245.55/49.51    (38)  op1(e14, e10) = all_14_20
% 245.55/49.51    (39)  op1(e12, e12) = all_14_12
% 245.55/49.51    (40)  op1(e10, unit1) = e10
% 245.55/49.51    (41)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.51    (42)  op1(e14, e12) = all_14_10
% 245.55/49.51    (43)   ~ (all_14_10 = e12)
% 245.55/49.51    (44)   ~ (all_14_20 = e10)
% 245.55/49.51    (45)   ~ (all_14_19 = e10)
% 245.55/49.51    (46)  op1(unit1, e12) = e12
% 245.55/49.51    (47)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.51            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.51            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.51    (48)  op1(e10, e11) = all_14_19
% 245.55/49.51    (49)  op1(e10, e12) = all_14_14
% 245.55/49.51    (50)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.51            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.51            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.51    (51)   ~ (e14 = e12)
% 245.55/49.51    (52)  all_25_23 = e12
% 245.55/49.51    (53)  all_25_17 = e13
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | BETA: splitting (21) gives:
% 245.55/49.51  | 
% 245.55/49.51  | Case 1:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (54)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13,
% 245.55/49.51  | |             e14) = e10)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (54) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (55)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.55/49.51  | | | 
% 245.55/49.51  | | | ALPHA: (55) implies:
% 245.55/49.51  | | |   (56)  all_25_0 = e10
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.55/49.51  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (22), (23),
% 245.55/49.51  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 245.55/49.51  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 245.55/49.51  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 245.55/49.51  | | |            (56) are inconsistent by sub-proof #1125.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (57)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.55/49.51  | | | 
% 245.55/49.51  | | | ALPHA: (57) implies:
% 245.55/49.51  | | |   (58)  all_25_2 = e10
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (2), (4), (9), (10), (11), (14), (16), (24), (25), (26), (27),
% 245.55/49.51  | | |            (29), (30), (32), (36), (47), (51), (58) are inconsistent by
% 245.55/49.51  | | |            sub-proof #1281.
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | Case 2:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (59)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 & op1(e11,
% 245.55/49.51  | |             e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (59) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (60)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (2), (3), (4), (7), (8), (11), (12), (14), (15), (16), (17),
% 245.55/49.51  | | |            (24), (25), (26), (29), (30), (31), (34), (35), (39), (47),
% 245.55/49.51  | | |            (49), (51), (53), (60) are inconsistent by sub-proof #1216.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (61)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 245.55/49.51  | | |           op1(e10, e14) = e10)
% 245.55/49.51  | | | 
% 245.55/49.51  | | | BETA: splitting (61) gives:
% 245.55/49.51  | | | 
% 245.55/49.51  | | | Case 1:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (62)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | REF_CLOSE: (27), (33), (62) are inconsistent by sub-proof #1124.
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | Case 2:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (63)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | ALPHA: (63) implies:
% 245.55/49.51  | | | |   (64)  all_25_20 = e10
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | REF_CLOSE: (1), (6), (7), (8), (10), (14), (15), (17), (19), (23), (24),
% 245.55/49.51  | | | |            (25), (26), (27), (31), (35), (39), (40), (41), (42), (43),
% 245.55/49.51  | | | |            (45), (46), (48), (49), (52), (64) are inconsistent by
% 245.55/49.51  | | | |            sub-proof #1121.
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | End of split
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | End of split
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1121 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.51             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.51           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51    (2)  all_25_24 = e10
% 245.55/49.51    (3)  all_25_4 = e13
% 245.55/49.51    (4)   ~ (all_14_12 = e13)
% 245.55/49.51    (5)   ~ (e12 = e11)
% 245.55/49.51    (6)   ~ (e13 = e10)
% 245.55/49.51    (7)  op1(e11, e12) = all_14_13
% 245.55/49.51    (8)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.51           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.51           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.51    (9)  op1(e13, unit1) = e13
% 245.55/49.51    (10)  all_25_21 = e13
% 245.55/49.51    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (12)   ~ (e13 = e11)
% 245.55/49.51    (13)  all_25_20 = e10
% 245.55/49.51    (14)  op1(e13, e12) = e10
% 245.55/49.51    (15)   ~ (e11 = e10)
% 245.55/49.51    (16)   ~ (all_14_13 = e13)
% 245.55/49.51    (17)   ~ (all_14_14 = e13)
% 245.55/49.51    (18)  op1(e12, e12) = all_14_12
% 245.55/49.51    (19)  op1(e10, unit1) = e10
% 245.55/49.51    (20)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.51    (21)  op1(e14, e12) = all_14_10
% 245.55/49.51    (22)   ~ (all_14_10 = e12)
% 245.55/49.51    (23)   ~ (all_14_19 = e10)
% 245.55/49.51    (24)  op1(unit1, e12) = e12
% 245.55/49.51    (25)  op1(e10, e11) = all_14_19
% 245.55/49.51    (26)  op1(e10, e12) = all_14_14
% 245.55/49.51    (27)  all_25_23 = e12
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | BETA: splitting (1) gives:
% 245.55/49.51  | 
% 245.55/49.51  | Case 1:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (28)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.55/49.51  | |           op1(e10, e13) = e11)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (28) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (29)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (13), (15), (29) are inconsistent by sub-proof #1123.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (30)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (11), (12), (14), (16), (17),
% 245.55/49.51  | | |            (18), (26), (30) are inconsistent by sub-proof #1202.
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | Case 2:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (31)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.55/49.51  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51  | | 
% 245.55/49.51  | | REF_CLOSE: (2), (5), (6), (9), (11), (14), (15), (19), (20), (21), (22),
% 245.55/49.51  | |            (23), (24), (25), (27), (31) are inconsistent by sub-proof #1122.
% 245.55/49.51  | | 
% 245.55/49.51  | End of split
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1122 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  all_25_24 = e10
% 245.55/49.51    (2)   ~ (e12 = e11)
% 245.55/49.51    (3)   ~ (e13 = e10)
% 245.55/49.51    (4)  op1(e13, unit1) = e13
% 245.55/49.51    (5)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 & op1(e10,
% 245.55/49.51             e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (7)  op1(e13, e12) = e10
% 245.55/49.51    (8)   ~ (e11 = e10)
% 245.55/49.51    (9)  op1(e10, unit1) = e10
% 245.55/49.51    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.51    (11)  op1(e14, e12) = all_14_10
% 245.55/49.51    (12)   ~ (all_14_10 = e12)
% 245.55/49.51    (13)   ~ (all_14_19 = e10)
% 245.55/49.51    (14)  op1(unit1, e12) = e12
% 245.55/49.51    (15)  op1(e10, e11) = all_14_19
% 245.55/49.51    (16)  all_25_23 = e12
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | BETA: splitting (5) gives:
% 245.55/49.51  | 
% 245.55/49.51  | Case 1:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (17)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.55/49.51  | | 
% 245.55/49.51  | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 245.55/49.51  | |            (17) are inconsistent by sub-proof #1266.
% 245.55/49.51  | | 
% 245.55/49.51  | Case 2:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (18)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 245.55/49.51  | |           op1(e10, e10) = e11)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (18) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (19)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (2), (16), (19) are inconsistent by sub-proof #1127.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (20)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (1), (8), (20) are inconsistent by sub-proof #1259.
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | End of split
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1123 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.51    (2)  all_25_20 = e10
% 245.55/49.51    (3)   ~ (e11 = e10)
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | ALPHA: (1) implies:
% 245.55/49.51  |   (4)  all_25_20 = e11
% 245.55/49.51  | 
% 245.55/49.51  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.51  |   (5)  e11 = e10
% 245.55/49.51  | 
% 245.55/49.51  | SIMP: (5) implies:
% 245.55/49.51  |   (6)  e11 = e10
% 245.55/49.51  | 
% 245.55/49.51  | REDUCE: (3), (6) imply:
% 245.55/49.51  |   (7)  $false
% 245.55/49.51  | 
% 245.55/49.51  | CLOSE: (7) is inconsistent.
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1124 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.55/49.51    (2)  all_25_12 = e11
% 245.55/49.51    (3)   ~ (e11 = e10)
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | ALPHA: (1) implies:
% 245.55/49.51  |   (4)  all_25_12 = e10
% 245.55/49.51  | 
% 245.55/49.51  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.51  |   (5)  e11 = e10
% 245.55/49.51  | 
% 245.55/49.51  | REDUCE: (3), (5) imply:
% 245.55/49.51  |   (6)  $false
% 245.55/49.51  | 
% 245.55/49.51  | CLOSE: (6) is inconsistent.
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1125 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.51             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.51           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51    (2)   ~ (e14 = e10)
% 245.55/49.51    (3)  all_25_2 = e12
% 245.55/49.51    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.51           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.51           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.51    (5)  all_25_1 = e12
% 245.55/49.51    (6)  all_25_24 = e10
% 245.55/49.51    (7)  all_25_4 = e13
% 245.55/49.51    (8)   ~ (all_14_12 = e13)
% 245.55/49.51    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.51           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.51           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.51    (10)   ~ (e12 = e11)
% 245.55/49.51    (11)   ~ (e14 = e11)
% 245.55/49.51    (12)  all_25_3 = e11
% 245.55/49.51    (13)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.51            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.51            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.51    (14)   ~ (e13 = e10)
% 245.55/49.51    (15)  op1(e11, e12) = all_14_13
% 245.55/49.51    (16)   ~ (e14 = e13)
% 245.55/49.51    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.51            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.51            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.51    (18)  op1(e14, e11) = all_14_15
% 245.55/49.51    (19)  op1(e13, unit1) = e13
% 245.55/49.51    (20)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.55/49.51            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.55/49.51            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.51    (21)  op1(e13, e11) = e14
% 245.55/49.51    (22)  all_25_21 = e13
% 245.55/49.51    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (24)   ~ (e13 = e11)
% 245.55/49.51    (25)  op1(e13, e12) = e10
% 245.55/49.51    (26)   ~ (e11 = e10)
% 245.55/49.51    (27)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.55/49.51            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.55/49.51            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.55/49.51    (28)   ~ (e13 = e12)
% 245.55/49.51    (29)  op1(e13, e13) = e11
% 245.55/49.51    (30)   ~ (all_14_13 = e13)
% 245.55/49.51    (31)   ~ (e12 = e10)
% 245.55/49.51    (32)  all_25_12 = e11
% 245.55/49.51    (33)  all_25_6 = e13
% 245.55/49.51    (34)   ~ (all_14_14 = e13)
% 245.55/49.51    (35)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.51            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.51            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.51    (36)  all_25_0 = e10
% 245.55/49.51    (37)   ~ (all_14_15 = e14)
% 245.55/49.51    (38)  op1(e14, e10) = all_14_20
% 245.55/49.51    (39)  op1(e12, e12) = all_14_12
% 245.55/49.51    (40)  op1(e10, unit1) = e10
% 245.55/49.51    (41)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.51    (42)  op1(e14, e12) = all_14_10
% 245.55/49.51    (43)   ~ (all_14_10 = e12)
% 245.55/49.51    (44)   ~ (all_14_20 = e10)
% 245.55/49.51    (45)   ~ (all_14_19 = e10)
% 245.55/49.51    (46)  op1(unit1, e12) = e12
% 245.55/49.51    (47)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.51            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.51            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.51    (48)  op1(e10, e11) = all_14_19
% 245.55/49.51    (49)  op1(e10, e12) = all_14_14
% 245.55/49.51    (50)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.51            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.51            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.51    (51)   ~ (e14 = e12)
% 245.55/49.51    (52)  all_25_23 = e12
% 245.55/49.51    (53)  all_25_17 = e13
% 245.55/49.51  
% 245.55/49.51  Begin of proof
% 245.55/49.51  | 
% 245.55/49.51  | BETA: splitting (50) gives:
% 245.55/49.51  | 
% 245.55/49.51  | Case 1:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (54)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.55/49.51  | |             e13) = e14)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (54) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (55)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (2), (36), (55) are inconsistent by sub-proof #1220.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (56)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (5), (51), (56) are inconsistent by sub-proof #1292.
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | Case 2:
% 245.55/49.51  | | 
% 245.55/49.51  | |   (57)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.55/49.51  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.51  | | 
% 245.55/49.51  | | BETA: splitting (57) gives:
% 245.55/49.51  | | 
% 245.55/49.51  | | Case 1:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (58)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.51  | | | 
% 245.55/49.51  | | | REF_CLOSE: (7), (16), (58) are inconsistent by sub-proof #1236.
% 245.55/49.51  | | | 
% 245.55/49.51  | | Case 2:
% 245.55/49.51  | | | 
% 245.55/49.51  | | |   (59)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 245.55/49.51  | | |           op1(e14, e10) = e14)
% 245.55/49.51  | | | 
% 245.55/49.51  | | | BETA: splitting (59) gives:
% 245.55/49.51  | | | 
% 245.55/49.51  | | | Case 1:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (60)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | REF_CLOSE: (18), (23), (37), (60) are inconsistent by sub-proof #1340.
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | Case 2:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | |   (61)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | ALPHA: (61) implies:
% 245.55/49.51  | | | |   (62)  all_25_16 = e14
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | BETA: splitting (13) gives:
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | | Case 1:
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | |   (63)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 245.55/49.51  | | | | |           op1(e14, e13) = e11)
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | | BETA: splitting (63) gives:
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | | Case 1:
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | |   (64)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | REF_CLOSE: (26), (36), (64) are inconsistent by sub-proof #1222.
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | Case 2:
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | |   (65)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | REF_CLOSE: (5), (10), (65) are inconsistent by sub-proof #1240.
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | End of split
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | Case 2:
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | |   (66)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.51  | | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 245.55/49.51  | | | | |           e11)
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | | BETA: splitting (66) gives:
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | | Case 1:
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | |   (67)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | ALPHA: (67) implies:
% 245.55/49.51  | | | | | |   (68)  all_25_4 = e11
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | REF_CLOSE: (8), (14), (15), (17), (23), (24), (25), (30), (34),
% 245.55/49.51  | | | | | |            (39), (49), (68) are inconsistent by sub-proof #1239.
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | Case 2:
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | |   (69)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.55/49.51  | | | | | |           op1(e14, e10) = e11)
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | BETA: splitting (69) gives:
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | | Case 1:
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | |   (70)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | | ALPHA: (70) implies:
% 245.55/49.51  | | | | | | |   (71)  all_25_9 = e11
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | | BETA: splitting (27) gives:
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | | Case 1:
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | |   (72)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14
% 245.55/49.51  | | | | | | | |           & op1(e13, e14) = e14)
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | | BETA: splitting (72) gives:
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | | Case 1:
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | |   (73)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | ALPHA: (73) implies:
% 245.55/49.51  | | | | | | | | |   (74)  all_25_0 = e14
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12),
% 245.55/49.51  | | | | | | | | |            (14), (16), (20), (23), (24), (25), (26), (28),
% 245.55/49.51  | | | | | | | | |            (29), (31), (35), (38), (44), (47), (51), (53),
% 245.55/49.51  | | | | | | | | |            (71), (74) are inconsistent by sub-proof #1132.
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | Case 2:
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | |   (75)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | REF_CLOSE: (4), (10), (14), (16), (21), (23), (24), (25),
% 245.55/49.51  | | | | | | | | |            (28), (29), (31), (35), (51), (75) are inconsistent
% 245.55/49.51  | | | | | | | | |            by sub-proof #1185.
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | End of split
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | Case 2:
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | |   (76)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 =
% 245.55/49.51  | | | | | | | |           e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.55/49.51  | | | | | | | |           op1(e10, e14) = e14)
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | | BETA: splitting (76) gives:
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | | Case 1:
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | |   (77)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | ALPHA: (77) implies:
% 245.55/49.51  | | | | | | | | |   (78)  all_25_6 = e14
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | COMBINE_EQS: (33), (78) imply:
% 245.55/49.51  | | | | | | | | |   (79)  e14 = e13
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12),
% 245.55/49.51  | | | | | | | | |            (13), (14), (16), (18), (20), (23), (24), (25),
% 245.55/49.51  | | | | | | | | |            (26), (28), (29), (31), (35), (37), (38), (44),
% 245.55/49.51  | | | | | | | | |            (47), (50), (51), (53), (62), (79) are inconsistent
% 245.55/49.51  | | | | | | | | |            by sub-proof #1129.
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | Case 2:
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | |   (80)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 =
% 245.55/49.51  | | | | | | | | |           e14 & op1(e10, e14) = e14)
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | BETA: splitting (80) gives:
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | Case 1:
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | |   (81)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | ALPHA: (81) implies:
% 245.55/49.51  | | | | | | | | | |   (82)  all_25_12 = e14
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | COMBINE_EQS: (32), (82) imply:
% 245.55/49.51  | | | | | | | | | |   (83)  e14 = e11
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | SIMP: (83) implies:
% 245.55/49.51  | | | | | | | | | |   (84)  e14 = e11
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | COMBINE_EQS: (62), (84) imply:
% 245.55/49.51  | | | | | | | | | |   (85)  all_25_16 = e11
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | REF_CLOSE: (2), (5), (7), (11), (16), (18), (23), (36), (37),
% 245.55/49.51  | | | | | | | | | |            (50), (51), (85) are inconsistent by sub-proof
% 245.55/49.51  | | | | | | | | | |            #1219.
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | Case 2:
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | |   (86)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | ALPHA: (86) implies:
% 245.55/49.51  | | | | | | | | | |   (87)  all_25_20 = e14
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (10), (11), (13),
% 245.55/49.51  | | | | | | | | | |            (14), (15), (16), (17), (18), (19), (22), (23),
% 245.55/49.51  | | | | | | | | | |            (24), (25), (26), (30), (34), (36), (37), (39),
% 245.55/49.51  | | | | | | | | | |            (40), (41), (42), (43), (45), (46), (48), (49),
% 245.55/49.51  | | | | | | | | | |            (50), (51), (52), (62), (71), (87) are
% 245.55/49.51  | | | | | | | | | |            inconsistent by sub-proof #1126.
% 245.55/49.51  | | | | | | | | | | 
% 245.55/49.51  | | | | | | | | | End of split
% 245.55/49.51  | | | | | | | | | 
% 245.55/49.51  | | | | | | | | End of split
% 245.55/49.51  | | | | | | | | 
% 245.55/49.51  | | | | | | | End of split
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | Case 2:
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | |   (88)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | | ALPHA: (88) implies:
% 245.55/49.51  | | | | | | |   (89)  all_25_16 = e11
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | | REF_CLOSE: (2), (5), (7), (11), (16), (18), (23), (36), (37),
% 245.55/49.51  | | | | | | |            (50), (51), (89) are inconsistent by sub-proof #1219.
% 245.55/49.51  | | | | | | | 
% 245.55/49.51  | | | | | | End of split
% 245.55/49.51  | | | | | | 
% 245.55/49.51  | | | | | End of split
% 245.55/49.51  | | | | | 
% 245.55/49.51  | | | | End of split
% 245.55/49.51  | | | | 
% 245.55/49.51  | | | End of split
% 245.55/49.51  | | | 
% 245.55/49.51  | | End of split
% 245.55/49.51  | | 
% 245.55/49.51  | End of split
% 245.55/49.51  | 
% 245.55/49.51  End of proof
% 245.55/49.51  
% 245.55/49.51  Sub-proof #1126 shows that the following formulas are inconsistent:
% 245.55/49.51  ----------------------------------------------------------------
% 245.55/49.51    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.55/49.51             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.55/49.51           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.51    (2)   ~ (e14 = e10)
% 245.55/49.51    (3)  all_25_1 = e12
% 245.55/49.51    (4)  all_25_24 = e10
% 245.55/49.51    (5)  all_25_4 = e13
% 245.55/49.51    (6)  all_25_20 = e14
% 245.55/49.51    (7)   ~ (all_14_12 = e13)
% 245.55/49.51    (8)   ~ (e12 = e11)
% 245.55/49.51    (9)   ~ (e14 = e11)
% 245.55/49.51    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.51            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.51            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.51    (11)   ~ (e13 = e10)
% 245.55/49.51    (12)  op1(e11, e12) = all_14_13
% 245.55/49.51    (13)   ~ (e14 = e13)
% 245.55/49.51    (14)  all_25_9 = e11
% 245.55/49.51    (15)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.51            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.51            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.51    (16)  op1(e14, e11) = all_14_15
% 245.55/49.51    (17)  op1(e13, unit1) = e13
% 245.55/49.51    (18)  all_25_21 = e13
% 245.55/49.51    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.51            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.51    (20)   ~ (e13 = e11)
% 245.55/49.51    (21)  op1(e13, e12) = e10
% 245.55/49.51    (22)   ~ (e11 = e10)
% 245.55/49.51    (23)   ~ (all_14_13 = e13)
% 245.55/49.51    (24)   ~ (all_14_14 = e13)
% 245.55/49.52    (25)  all_25_0 = e10
% 245.55/49.52    (26)   ~ (all_14_15 = e14)
% 245.55/49.52    (27)  op1(e12, e12) = all_14_12
% 245.55/49.52    (28)  op1(e10, unit1) = e10
% 245.55/49.52    (29)  all_25_16 = e14
% 245.55/49.52    (30)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.52    (31)  op1(e14, e12) = all_14_10
% 245.55/49.52    (32)   ~ (all_14_10 = e12)
% 245.55/49.52    (33)   ~ (all_14_19 = e10)
% 245.55/49.52    (34)  op1(unit1, e12) = e12
% 245.55/49.52    (35)  op1(e10, e11) = all_14_19
% 245.55/49.52    (36)  op1(e10, e12) = all_14_14
% 245.55/49.52    (37)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.52            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.52            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.52    (38)   ~ (e14 = e12)
% 245.55/49.52    (39)  all_25_23 = e12
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | BETA: splitting (1) gives:
% 245.55/49.52  | 
% 245.55/49.52  | Case 1:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (40)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.55/49.52  | |           op1(e10, e13) = e11)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (40) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (41)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (2), (3), (5), (6), (9), (13), (16), (19), (25), (26), (29),
% 245.55/49.52  | | |            (37), (38), (41) are inconsistent by sub-proof #1128.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (42)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (5), (7), (11), (12), (15), (18), (19), (20), (21), (23), (24),
% 245.55/49.52  | | |            (27), (36), (42) are inconsistent by sub-proof #1202.
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | Case 2:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (43)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.55/49.52  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (43) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (44)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (8), (11), (17), (19), (21), (28), (30), (31), (32), (33),
% 245.55/49.52  | | |            (34), (35), (44) are inconsistent by sub-proof #1266.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (45)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 245.55/49.52  | | |           op1(e10, e10) = e11)
% 245.55/49.52  | | | 
% 245.55/49.52  | | | BETA: splitting (45) gives:
% 245.55/49.52  | | | 
% 245.55/49.52  | | | Case 1:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (46)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (8), (39), (46) are inconsistent by sub-proof #1127.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | Case 2:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (47)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | ALPHA: (47) implies:
% 245.55/49.52  | | | |   (48)  all_25_24 = e11
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | COMBINE_EQS: (4), (48) imply:
% 245.55/49.52  | | | |   (49)  e11 = e10
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | SIMP: (49) implies:
% 245.55/49.52  | | | |   (50)  e11 = e10
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | COMBINE_EQS: (14), (50) imply:
% 245.55/49.52  | | | |   (51)  all_25_9 = e10
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (2), (3), (5), (8), (9), (10), (13), (16), (19), (20), (22),
% 245.55/49.52  | | | |            (25), (26), (37), (38), (51) are inconsistent by sub-proof
% 245.55/49.52  | | | |            #1218.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | End of split
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | End of split
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1127 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.55/49.52    (2)  all_25_23 = e12
% 245.55/49.52    (3)   ~ (e12 = e11)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (1) implies:
% 245.55/49.52  |   (4)  all_25_23 = e11
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.52  |   (5)  e12 = e11
% 245.55/49.52  | 
% 245.55/49.52  | REDUCE: (3), (5) imply:
% 245.55/49.52  |   (6)  $false
% 245.55/49.52  | 
% 245.55/49.52  | CLOSE: (6) is inconsistent.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1128 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_1 = e12
% 245.55/49.52    (3)  all_25_4 = e13
% 245.55/49.52    (4)  all_25_20 = e14
% 245.55/49.52    (5)   ~ (e14 = e11)
% 245.55/49.52    (6)   ~ (e14 = e13)
% 245.55/49.52    (7)  op1(e14, e11) = all_14_15
% 245.55/49.52    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (9)  all_25_0 = e10
% 245.55/49.52    (10)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.52    (11)   ~ (all_14_15 = e14)
% 245.55/49.52    (12)  all_25_16 = e14
% 245.55/49.52    (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.52            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.52            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.52    (14)   ~ (e14 = e12)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (10) implies:
% 245.55/49.52  |   (15)  all_25_20 = e11
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (4), (15) imply:
% 245.55/49.52  |   (16)  e14 = e11
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (12), (16) imply:
% 245.55/49.52  |   (17)  all_25_16 = e11
% 245.55/49.52  | 
% 245.55/49.52  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (13), (14), (17) are
% 245.55/49.52  |            inconsistent by sub-proof #1219.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1129 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_2 = e12
% 245.55/49.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.52    (4)  all_25_1 = e12
% 245.55/49.52    (5)  all_25_4 = e13
% 245.55/49.52    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.52    (7)   ~ (e12 = e11)
% 245.55/49.52    (8)   ~ (e14 = e11)
% 245.55/49.52    (9)  all_25_3 = e11
% 245.55/49.52    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.52            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.52            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.52    (11)   ~ (e13 = e10)
% 245.55/49.52    (12)   ~ (e14 = e13)
% 245.55/49.52    (13)  op1(e14, e11) = all_14_15
% 245.55/49.52    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.55/49.52            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.55/49.52            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.52    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (16)   ~ (e13 = e11)
% 245.55/49.52    (17)  op1(e13, e12) = e10
% 245.55/49.52    (18)   ~ (e11 = e10)
% 245.55/49.52    (19)   ~ (e13 = e12)
% 245.55/49.52    (20)  op1(e13, e13) = e11
% 245.55/49.52    (21)   ~ (e12 = e10)
% 245.55/49.52    (22)  e14 = e13
% 245.55/49.52    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.52    (24)   ~ (all_14_15 = e14)
% 245.55/49.52    (25)  op1(e14, e10) = all_14_20
% 245.55/49.52    (26)  all_25_16 = e14
% 245.55/49.52    (27)   ~ (all_14_20 = e10)
% 245.55/49.52    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.52    (29)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.52            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.52            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.52    (30)   ~ (e14 = e12)
% 245.55/49.52    (31)  all_25_17 = e13
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | SIMP: (22) implies:
% 245.55/49.52  |   (32)  e14 = e13
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (26), (32) imply:
% 245.55/49.52  |   (33)  all_25_16 = e13
% 245.55/49.52  | 
% 245.55/49.52  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.55/49.52  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (23), (24),
% 245.55/49.52  |            (25), (27), (28), (29), (30), (31), (33) are inconsistent by
% 245.55/49.52  |            sub-proof #1130.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1130 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_2 = e12
% 245.55/49.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.52    (4)  all_25_1 = e12
% 245.55/49.52    (5)  all_25_4 = e13
% 245.55/49.52    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.52    (7)   ~ (e12 = e11)
% 245.55/49.52    (8)   ~ (e14 = e11)
% 245.55/49.52    (9)  all_25_3 = e11
% 245.55/49.52    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.52            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.52            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.52    (11)   ~ (e13 = e10)
% 245.55/49.52    (12)   ~ (e14 = e13)
% 245.55/49.52    (13)  op1(e14, e11) = all_14_15
% 245.55/49.52    (14)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.55/49.52            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.55/49.52            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.52    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (16)   ~ (e13 = e11)
% 245.55/49.52    (17)  op1(e13, e12) = e10
% 245.55/49.52    (18)  all_25_16 = e13
% 245.55/49.52    (19)   ~ (e11 = e10)
% 245.55/49.52    (20)   ~ (e13 = e12)
% 245.55/49.52    (21)  op1(e13, e13) = e11
% 245.55/49.52    (22)   ~ (e12 = e10)
% 245.55/49.52    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.52    (24)   ~ (all_14_15 = e14)
% 245.55/49.52    (25)  op1(e14, e10) = all_14_20
% 245.55/49.52    (26)   ~ (all_14_20 = e10)
% 245.55/49.52    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.52    (28)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.55/49.52            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.52            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.52    (29)   ~ (e14 = e12)
% 245.55/49.52    (30)  all_25_17 = e13
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | BETA: splitting (28) gives:
% 245.55/49.52  | 
% 245.55/49.52  | Case 1:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (31)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.55/49.52  | |             e13) = e14)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (31) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (32)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.55/49.52  | | | 
% 245.55/49.52  | | | ALPHA: (32) implies:
% 245.55/49.52  | | |   (33)  all_25_0 = e14
% 245.55/49.52  | | | 
% 245.55/49.52  | | | BETA: splitting (10) gives:
% 245.55/49.52  | | | 
% 245.55/49.52  | | | Case 1:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (34)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 245.55/49.52  | | | |           op1(e14, e13) = e11)
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | BETA: splitting (34) gives:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | Case 1:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | |   (35)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | ALPHA: (35) implies:
% 245.55/49.52  | | | | |   (36)  all_25_0 = e11
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | BETA: splitting (28) gives:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | Case 1:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | BETA: splitting (31) gives:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | Case 1:
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | | REF_CLOSE: (8), (32), (36) are inconsistent by sub-proof #1179.
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | Case 2:
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | |   (37)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | | REF_CLOSE: (4), (29), (37) are inconsistent by sub-proof #1292.
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | End of split
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | Case 2:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | |   (38)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.55/49.52  | | | | | |           op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) =
% 245.55/49.52  | | | | | |           e14)
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | BETA: splitting (38) gives:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | Case 1:
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | |   (39)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | | REF_CLOSE: (5), (12), (39) are inconsistent by sub-proof #1236.
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | Case 2:
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | |   (40)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14
% 245.55/49.52  | | | | | | |           & op1(e14, e10) = e14)
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | | REF_CLOSE: (12), (13), (15), (18), (24), (40) are inconsistent by
% 245.55/49.52  | | | | | | |            sub-proof #1131.
% 245.55/49.52  | | | | | | | 
% 245.55/49.52  | | | | | | End of split
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | End of split
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | Case 2:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | |   (41)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | REF_CLOSE: (4), (7), (41) are inconsistent by sub-proof #1240.
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | End of split
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | Case 2:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (42)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.52  | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | BETA: splitting (42) gives:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | Case 1:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | |   (43)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | REF_CLOSE: (5), (16), (43) are inconsistent by sub-proof #1221.
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | Case 2:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | |   (44)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.55/49.52  | | | | |           op1(e14, e10) = e11)
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | BETA: splitting (44) gives:
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | | Case 1:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | |   (45)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | ALPHA: (45) implies:
% 245.55/49.52  | | | | | |   (46)  all_25_9 = e11
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12),
% 245.55/49.52  | | | | | |            (14), (15), (16), (17), (19), (20), (21), (22), (23),
% 245.55/49.52  | | | | | |            (25), (26), (27), (29), (30), (33), (46) are inconsistent
% 245.55/49.52  | | | | | |            by sub-proof #1132.
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | Case 2:
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | |   (47)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | ALPHA: (47) implies:
% 245.55/49.52  | | | | | |   (48)  all_25_16 = e11
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | COMBINE_EQS: (18), (48) imply:
% 245.55/49.52  | | | | | |   (49)  e13 = e11
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | REDUCE: (16), (49) imply:
% 245.55/49.52  | | | | | |   (50)  $false
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | | CLOSE: (50) is inconsistent.
% 245.55/49.52  | | | | | | 
% 245.55/49.52  | | | | | End of split
% 245.55/49.52  | | | | | 
% 245.55/49.52  | | | | End of split
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | End of split
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (51)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (4), (29), (51) are inconsistent by sub-proof #1292.
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | Case 2:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (52)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.55/49.52  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (52) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (53)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (5), (12), (53) are inconsistent by sub-proof #1236.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (54)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 &
% 245.55/49.52  | | |           op1(e14, e10) = e14)
% 245.55/49.52  | | | 
% 245.55/49.52  | | | BETA: splitting (54) gives:
% 245.55/49.52  | | | 
% 245.55/49.52  | | | Case 1:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (55)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (13), (15), (24), (55) are inconsistent by sub-proof #1340.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | Case 2:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (56)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | ALPHA: (56) implies:
% 245.55/49.52  | | | |   (57)  all_25_16 = e14
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | COMBINE_EQS: (18), (57) imply:
% 245.55/49.52  | | | |   (58)  e14 = e13
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REDUCE: (12), (58) imply:
% 245.55/49.52  | | | |   (59)  $false
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | CLOSE: (59) is inconsistent.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | End of split
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | End of split
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1131 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10)
% 245.55/49.52           = e14)
% 245.55/49.52    (2)   ~ (e14 = e13)
% 245.55/49.52    (3)  op1(e14, e11) = all_14_15
% 245.55/49.52    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (5)  all_25_16 = e13
% 245.55/49.52    (6)   ~ (all_14_15 = e14)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | BETA: splitting (1) gives:
% 245.55/49.52  | 
% 245.55/49.52  | Case 1:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (7)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.55/49.52  | | 
% 245.55/49.52  | | REF_CLOSE: (3), (4), (6), (7) are inconsistent by sub-proof #1340.
% 245.55/49.52  | | 
% 245.55/49.52  | Case 2:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (8)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.55/49.52  | | 
% 245.55/49.52  | | ALPHA: (8) implies:
% 245.55/49.52  | |   (9)  all_25_16 = e14
% 245.55/49.52  | | 
% 245.55/49.52  | | COMBINE_EQS: (5), (9) imply:
% 245.55/49.52  | |   (10)  e14 = e13
% 245.55/49.52  | | 
% 245.55/49.52  | | SIMP: (10) implies:
% 245.55/49.52  | |   (11)  e14 = e13
% 245.55/49.52  | | 
% 245.55/49.52  | | REDUCE: (2), (11) imply:
% 245.55/49.52  | |   (12)  $false
% 245.55/49.52  | | 
% 245.55/49.52  | | CLOSE: (12) is inconsistent.
% 245.55/49.52  | | 
% 245.55/49.52  | End of split
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1132 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_2 = e12
% 245.55/49.52    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.52    (4)  all_25_1 = e12
% 245.55/49.52    (5)  all_25_4 = e13
% 245.55/49.52    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.52           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.52           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.52    (7)   ~ (e12 = e11)
% 245.55/49.52    (8)   ~ (e14 = e11)
% 245.55/49.52    (9)  all_25_3 = e11
% 245.55/49.52    (10)   ~ (e13 = e10)
% 245.55/49.52    (11)   ~ (e14 = e13)
% 245.55/49.52    (12)  all_25_9 = e11
% 245.55/49.52    (13)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.55/49.52            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.55/49.52            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.52    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (15)   ~ (e13 = e11)
% 245.55/49.52    (16)  op1(e13, e12) = e10
% 245.55/49.52    (17)   ~ (e11 = e10)
% 245.55/49.52    (18)   ~ (e13 = e12)
% 245.55/49.52    (19)  op1(e13, e13) = e11
% 245.55/49.52    (20)   ~ (e12 = e10)
% 245.55/49.52    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.52            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.52            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.52    (22)  op1(e14, e10) = all_14_20
% 245.55/49.52    (23)   ~ (all_14_20 = e10)
% 245.55/49.52    (24)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.52            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.52            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.52    (25)   ~ (e14 = e12)
% 245.55/49.52    (26)  all_25_0 = e14
% 245.55/49.52    (27)  all_25_17 = e13
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | BETA: splitting (13) gives:
% 245.55/49.52  | 
% 245.55/49.52  | Case 1:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (28)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 245.55/49.52  | |             e13) = e10)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (28) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (29)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (1), (26), (29) are inconsistent by sub-proof #1134.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (30)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (14), (15),
% 245.55/49.52  | | |            (16), (17), (18), (19), (20), (21), (24), (25), (30) are
% 245.55/49.52  | | |            inconsistent by sub-proof #1280.
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | Case 2:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (31)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 245.55/49.52  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (31) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (32)  all_25_4 = e10 & op1(e14, e12) = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | ALPHA: (32) implies:
% 245.55/49.52  | | |   (33)  all_25_4 = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | COMBINE_EQS: (5), (33) imply:
% 245.55/49.52  | | |   (34)  e13 = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | COMBINE_EQS: (27), (34) imply:
% 245.55/49.52  | | |   (35)  all_25_17 = e10
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (11), (14), (15), (16), (18),
% 245.55/49.52  | | |            (19), (24), (25), (35) are inconsistent by sub-proof #1277.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (36)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 245.55/49.52  | | |           op1(e14, e10) = e10)
% 245.55/49.52  | | | 
% 245.55/49.52  | | | BETA: splitting (36) gives:
% 245.55/49.52  | | | 
% 245.55/49.52  | | | Case 1:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (37)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (12), (17), (37) are inconsistent by sub-proof #1133.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | Case 2:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (38)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (14), (22), (23), (38) are inconsistent by sub-proof #1232.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | End of split
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | End of split
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1133 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.55/49.52    (2)  all_25_9 = e11
% 245.55/49.52    (3)   ~ (e11 = e10)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (1) implies:
% 245.55/49.52  |   (4)  all_25_9 = e10
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.52  |   (5)  e11 = e10
% 245.55/49.52  | 
% 245.55/49.52  | REDUCE: (3), (5) imply:
% 245.55/49.52  |   (6)  $false
% 245.55/49.52  | 
% 245.55/49.52  | CLOSE: (6) is inconsistent.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1134 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.55/49.52    (2)  all_25_0 = e14
% 245.55/49.52    (3)   ~ (e14 = e10)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (1) implies:
% 245.55/49.52  |   (4)  all_25_0 = e10
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.52  |   (5)  e14 = e10
% 245.55/49.52  | 
% 245.55/49.52  | REDUCE: (3), (5) imply:
% 245.55/49.52  |   (6)  $false
% 245.55/49.52  | 
% 245.55/49.52  | CLOSE: (6) is inconsistent.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1135 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.55/49.52    (2)   ~ (e14 = e10)
% 245.55/49.52    (3)  all_25_24 = e10
% 245.55/49.52    (4)  all_25_22 = e12
% 245.55/49.52    (5)  all_25_20 = e14
% 245.55/49.52    (6)  op1(e10, e13) = e13
% 245.55/49.52    (7)   ~ (e14 = e13)
% 245.55/49.52    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (9)   ~ (all_14_19 = e14)
% 245.55/49.52    (10)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.55/49.52              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.55/49.52            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.55/49.52    (11)  op1(e10, e11) = all_14_19
% 245.55/49.52    (12)   ~ (e14 = e12)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (1) implies:
% 245.55/49.52  |   (13)  all_25_24 = e14
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (3), (13) imply:
% 245.55/49.52  |   (14)  e14 = e10
% 245.55/49.52  | 
% 245.55/49.52  | SIMP: (14) implies:
% 245.55/49.52  |   (15)  e14 = e10
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (5), (15) imply:
% 245.55/49.52  |   (16)  all_25_20 = e10
% 245.55/49.52  | 
% 245.55/49.52  | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (16) are
% 245.55/49.52  |            inconsistent by sub-proof #1205.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1136 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_2 = e12
% 245.55/49.52    (2)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.52           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.52           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.52    (3)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.55/49.52    (4)   ~ (e13 = e10)
% 245.55/49.52    (5)   ~ (e14 = e13)
% 245.55/49.52    (6)  op1(e13, e11) = e14
% 245.55/49.52    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (8)   ~ (e13 = e11)
% 245.55/49.52    (9)  op1(e13, e12) = e10
% 245.55/49.52    (10)   ~ (e13 = e12)
% 245.55/49.52    (11)  op1(e13, e13) = e11
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (3) implies:
% 245.55/49.52  |   (12)  all_25_17 = e14
% 245.55/49.52  | 
% 245.55/49.52  | BETA: splitting (2) gives:
% 245.55/49.52  | 
% 245.55/49.52  | Case 1:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (13)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13,
% 245.55/49.52  | |             e13) = e13)
% 245.55/49.52  | | 
% 245.55/49.52  | | REF_CLOSE: (1), (7), (8), (10), (11), (13) are inconsistent by sub-proof
% 245.55/49.52  | |            #1278.
% 245.55/49.52  | | 
% 245.55/49.52  | Case 2:
% 245.55/49.52  | | 
% 245.55/49.52  | |   (14)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 & op1(e13,
% 245.55/49.52  | |             e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.52  | | 
% 245.55/49.52  | | BETA: splitting (14) gives:
% 245.55/49.52  | | 
% 245.55/49.52  | | Case 1:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (15)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.55/49.52  | | | 
% 245.55/49.52  | | | ALPHA: (15) implies:
% 245.55/49.52  | | |   (16)  op1(e13, e12) = e13
% 245.55/49.52  | | | 
% 245.55/49.52  | | | REF_CLOSE: (4), (7), (9), (16) are inconsistent by sub-proof #1334.
% 245.55/49.52  | | | 
% 245.55/49.52  | | Case 2:
% 245.55/49.52  | | | 
% 245.55/49.52  | | |   (17)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.55/49.52  | | |           op1(e13, e10) = e13)
% 245.55/49.52  | | | 
% 245.55/49.52  | | | BETA: splitting (17) gives:
% 245.55/49.52  | | | 
% 245.55/49.52  | | | Case 1:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (18)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | ALPHA: (18) implies:
% 245.55/49.52  | | | |   (19)  op1(e13, e11) = e13
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (5), (6), (7), (19) are inconsistent by sub-proof #1333.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | Case 2:
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | |   (20)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | | REF_CLOSE: (5), (12), (20) are inconsistent by sub-proof #1137.
% 245.55/49.52  | | | | 
% 245.55/49.52  | | | End of split
% 245.55/49.52  | | | 
% 245.55/49.52  | | End of split
% 245.55/49.52  | | 
% 245.55/49.52  | End of split
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1137 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.55/49.52    (2)  all_25_17 = e14
% 245.55/49.52    (3)   ~ (e14 = e13)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (1) implies:
% 245.55/49.52  |   (4)  all_25_17 = e13
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.52  |   (5)  e14 = e13
% 245.55/49.52  | 
% 245.55/49.52  | SIMP: (5) implies:
% 245.55/49.52  |   (6)  e14 = e13
% 245.55/49.52  | 
% 245.55/49.52  | REDUCE: (3), (6) imply:
% 245.55/49.52  |   (7)  $false
% 245.55/49.52  | 
% 245.55/49.52  | CLOSE: (7) is inconsistent.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1138 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_1 = e12
% 245.55/49.52    (3)   ~ (e14 = e11)
% 245.55/49.52    (4)  all_25_3 = e11
% 245.55/49.52    (5)  op1(e10, e13) = e13
% 245.55/49.52    (6)   ~ (e14 = e13)
% 245.55/49.52    (7)  all_25_13 = e14
% 245.55/49.52    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (9)  all_25_16 = e11
% 245.55/49.52    (10)  all_25_7 = e10
% 245.55/49.52    (11)  all_25_16 = e14
% 245.55/49.52    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.52            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.52            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.52    (13)   ~ (e14 = e12)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (9), (11) imply:
% 245.55/49.52  |   (14)  e14 = e11
% 245.55/49.52  | 
% 245.55/49.52  | SIMP: (14) implies:
% 245.55/49.52  |   (15)  e14 = e11
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (7), (15) imply:
% 245.55/49.52  |   (16)  all_25_13 = e11
% 245.55/49.52  | 
% 245.55/49.52  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12), (13), (16) are
% 245.55/49.52  |            inconsistent by sub-proof #1169.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1139 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.52    (1)   ~ (e14 = e10)
% 245.55/49.52    (2)  all_25_24 = e10
% 245.55/49.52    (3)  all_25_22 = e12
% 245.55/49.52    (4)  all_25_20 = e14
% 245.55/49.52    (5)  op1(e10, e13) = e13
% 245.55/49.52    (6)   ~ (e14 = e13)
% 245.55/49.52    (7)  all_25_13 = e14
% 245.55/49.52    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.52           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.52    (9)   ~ (all_14_19 = e14)
% 245.55/49.52    (10)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.55/49.52    (11)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.55/49.52              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.55/49.52            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.55/49.52    (12)  op1(e10, e11) = all_14_19
% 245.55/49.52    (13)   ~ (e14 = e12)
% 245.55/49.52  
% 245.55/49.52  Begin of proof
% 245.55/49.52  | 
% 245.55/49.52  | ALPHA: (10) implies:
% 245.55/49.52  |   (14)  all_25_13 = e10
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (7), (14) imply:
% 245.55/49.52  |   (15)  e14 = e10
% 245.55/49.52  | 
% 245.55/49.52  | COMBINE_EQS: (4), (15) imply:
% 245.55/49.52  |   (16)  all_25_20 = e10
% 245.55/49.52  | 
% 245.55/49.52  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (12), (13), (16) are
% 245.55/49.52  |            inconsistent by sub-proof #1205.
% 245.55/49.52  | 
% 245.55/49.52  End of proof
% 245.55/49.52  
% 245.55/49.52  Sub-proof #1140 shows that the following formulas are inconsistent:
% 245.55/49.52  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_1 = e12
% 245.55/49.53    (3)  all_25_4 = e13
% 245.55/49.53    (4)  all_25_20 = e14
% 245.55/49.53    (5)   ~ (all_14_12 = e13)
% 245.55/49.53    (6)   ~ (e14 = e11)
% 245.55/49.53    (7)  all_25_3 = e11
% 245.55/49.53    (8)  op1(e10, e13) = e13
% 245.55/49.53    (9)   ~ (e13 = e10)
% 245.55/49.53    (10)  op1(e11, e12) = all_14_13
% 245.55/49.53    (11)   ~ (e14 = e13)
% 245.55/49.53    (12)  all_25_13 = e14
% 245.55/49.53    (13)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.53            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.53            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.53    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (15)   ~ (e13 = e11)
% 245.55/49.53    (16)  op1(e13, e12) = e10
% 245.55/49.53    (17)  all_25_12 = e10
% 245.55/49.53    (18)   ~ (e11 = e10)
% 245.55/49.53    (19)  all_25_7 = e10
% 245.55/49.53    (20)   ~ (all_14_13 = e13)
% 245.55/49.53    (21)  all_25_6 = e13
% 245.55/49.53    (22)   ~ (all_14_14 = e13)
% 245.55/49.53    (23)  op1(e12, e12) = all_14_12
% 245.55/49.53    (24)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 245.55/49.53              e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.55/49.53    (25)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.53            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.53            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.53    (26)  op1(e10, e12) = all_14_14
% 245.55/49.53    (27)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | BETA: splitting (24) gives:
% 245.55/49.53  | 
% 245.55/49.53  | Case 1:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (28)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.55/49.53  | | 
% 245.55/49.53  | | REF_CLOSE: (3), (5), (9), (10), (13), (14), (15), (16), (20), (21), (22),
% 245.55/49.53  | |            (23), (26), (28) are inconsistent by sub-proof #1164.
% 245.55/49.53  | | 
% 245.55/49.53  | Case 2:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (29)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.55/49.53  | |           op1(e10, e14) = e11)
% 245.55/49.53  | | 
% 245.55/49.53  | | BETA: splitting (29) gives:
% 245.55/49.53  | | 
% 245.55/49.53  | | Case 1:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (30)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.55/49.53  | | | 
% 245.55/49.53  | | | ALPHA: (30) implies:
% 245.55/49.53  | | |   (31)  all_25_12 = e11
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (17), (18), (31) are inconsistent by sub-proof #1177.
% 245.55/49.53  | | | 
% 245.55/49.53  | | Case 2:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (32)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (11), (12), (14), (19), (25),
% 245.55/49.53  | | |            (27), (32) are inconsistent by sub-proof #1141.
% 245.55/49.53  | | | 
% 245.55/49.53  | | End of split
% 245.55/49.53  | | 
% 245.55/49.53  | End of split
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1141 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_1 = e12
% 245.55/49.53    (3)  all_25_20 = e14
% 245.55/49.53    (4)   ~ (e14 = e11)
% 245.55/49.53    (5)  all_25_3 = e11
% 245.55/49.53    (6)  op1(e10, e13) = e13
% 245.55/49.53    (7)   ~ (e14 = e13)
% 245.55/49.53    (8)  all_25_13 = e14
% 245.55/49.53    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (10)  all_25_7 = e10
% 245.55/49.53    (11)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.53    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.53            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.53            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.53    (13)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (11) implies:
% 245.55/49.53  |   (14)  all_25_20 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (3), (14) imply:
% 245.55/49.53  |   (15)  e14 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (8), (15) imply:
% 245.55/49.53  |   (16)  all_25_13 = e11
% 245.55/49.53  | 
% 245.55/49.53  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (12), (13), (16) are
% 245.55/49.53  |            inconsistent by sub-proof #1169.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1142 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_24 = e10
% 245.55/49.53    (3)  all_25_22 = e12
% 245.55/49.53    (4)  all_25_20 = e14
% 245.55/49.53    (5)  op1(e10, e13) = e13
% 245.55/49.53    (6)   ~ (e14 = e13)
% 245.55/49.53    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (8)  all_25_7 = e10
% 245.55/49.53    (9)   ~ (all_14_19 = e14)
% 245.55/49.53    (10)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.55/49.53              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.55/49.53            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.55/49.53    (11)  op1(e10, e11) = all_14_19
% 245.55/49.53    (12)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.55/49.53    (13)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (12) implies:
% 245.55/49.53  |   (14)  all_25_7 = e14
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (8), (14) imply:
% 245.55/49.53  |   (15)  e14 = e10
% 245.55/49.53  | 
% 245.55/49.53  | SIMP: (15) implies:
% 245.55/49.53  |   (16)  e14 = e10
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (4), (16) imply:
% 245.55/49.53  |   (17)  all_25_20 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (13), (17) are
% 245.55/49.53  |            inconsistent by sub-proof #1205.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1143 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_2 = e12
% 245.55/49.53    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.53    (4)  all_25_4 = e13
% 245.55/49.53    (5)   ~ (all_14_12 = e13)
% 245.55/49.53    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.53           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.53           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.53    (7)   ~ (e12 = e11)
% 245.55/49.53    (8)   ~ (e14 = e11)
% 245.55/49.53    (9)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.55/49.53           = e14) | (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.55/49.53           op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.55/49.53    (10)   ~ (e13 = e10)
% 245.55/49.53    (11)  op1(e11, e12) = all_14_13
% 245.55/49.53    (12)   ~ (e14 = e13)
% 245.55/49.53    (13)  all_25_11 = e12
% 245.55/49.53    (14)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.53            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.53            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.53    (15)   ~ (all_14_17 = e14)
% 245.55/49.53    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (17)   ~ (e13 = e11)
% 245.55/49.53    (18)  op1(e13, e12) = e10
% 245.55/49.53    (19)  op1(e12, e11) = all_14_17
% 245.55/49.53    (20)   ~ (e11 = e10)
% 245.55/49.53    (21)   ~ (e13 = e12)
% 245.55/49.53    (22)  op1(e13, e13) = e11
% 245.55/49.53    (23)   ~ (all_14_13 = e13)
% 245.55/49.53    (24)   ~ (e12 = e10)
% 245.55/49.53    (25)  all_25_6 = e13
% 245.55/49.53    (26)   ~ (all_14_14 = e13)
% 245.55/49.53    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.53    (28)  op1(e12, e12) = all_14_12
% 245.55/49.53    (29)  (all_25_8 = e10 & op1(e12, e12) = e10) | (all_25_11 = e10 & op1(e12,
% 245.55/49.53              e11) = e10) | (all_25_18 = e10 & op1(e12, e10) = e10)
% 245.55/49.53    (30)  all_25_18 = e12
% 245.55/49.53    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.53    (32)  op1(e10, e12) = all_14_14
% 245.55/49.53    (33)   ~ (e14 = e12)
% 245.55/49.53    (34)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.55/49.53            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.53            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | BETA: splitting (29) gives:
% 245.55/49.53  | 
% 245.55/49.53  | Case 1:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (35)  all_25_8 = e10 & op1(e12, e12) = e10
% 245.55/49.53  | | 
% 245.55/49.53  | | ALPHA: (35) implies:
% 245.55/49.53  | |   (36)  all_25_8 = e10
% 245.55/49.53  | | 
% 245.55/49.53  | | BETA: splitting (9) gives:
% 245.55/49.53  | | 
% 245.55/49.53  | | Case 1:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (37)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 &
% 245.55/49.53  | | |           op1(e12, e13) = e14)
% 245.55/49.53  | | | 
% 245.55/49.53  | | | BETA: splitting (37) gives:
% 245.55/49.53  | | | 
% 245.55/49.53  | | | Case 1:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (38)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REF_CLOSE: (12), (25), (38) are inconsistent by sub-proof #1184.
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | Case 2:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (39)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | ALPHA: (39) implies:
% 245.55/49.53  | | | |   (40)  all_25_7 = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | BETA: splitting (34) gives:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | Case 1:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | |   (41)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 &
% 245.55/49.53  | | | | |           op1(e12, e13) = e11)
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | BETA: splitting (41) gives:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | Case 1:
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | |   (42)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | | REF_CLOSE: (4), (5), (10), (11), (14), (16), (17), (18), (23), (25),
% 245.55/49.53  | | | | | |            (26), (28), (32), (42) are inconsistent by sub-proof
% 245.55/49.53  | | | | | |            #1164.
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | Case 2:
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | |   (43)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | | REF_CLOSE: (8), (40), (43) are inconsistent by sub-proof #1151.
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | End of split
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | Case 2:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | |   (44)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.55/49.53  | | | | |           op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) =
% 245.55/49.53  | | | | |           e11)
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | BETA: splitting (44) gives:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | Case 1:
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | |   (45)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | | REF_CLOSE: (20), (36), (45) are inconsistent by sub-proof #1150.
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | Case 2:
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | |   (46)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 245.55/49.53  | | | | | |           op1(e12, e10) = e11)
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | | BETA: splitting (46) gives:
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | | Case 1:
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | |   (47)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | | REF_CLOSE: (7), (13), (47) are inconsistent by sub-proof #1149.
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | Case 2:
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | |   (48)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | | REF_CLOSE: (7), (30), (48) are inconsistent by sub-proof #1148.
% 245.55/49.53  | | | | | | | 
% 245.55/49.53  | | | | | | End of split
% 245.55/49.53  | | | | | | 
% 245.55/49.53  | | | | | End of split
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | End of split
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | End of split
% 245.55/49.53  | | | 
% 245.55/49.53  | | Case 2:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (49)  (all_25_8 = e14 & op1(e12, e12) = e14) | (all_25_11 = e14 &
% 245.55/49.53  | | |           op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12, e10) = e14)
% 245.55/49.53  | | | 
% 245.55/49.53  | | | BETA: splitting (49) gives:
% 245.55/49.53  | | | 
% 245.55/49.53  | | | Case 1:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (50)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REF_CLOSE: (1), (36), (50) are inconsistent by sub-proof #1147.
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | Case 2:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (51)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 &
% 245.55/49.53  | | | |           op1(e12, e10) = e14)
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | BETA: splitting (51) gives:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | Case 1:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | |   (52)  all_25_11 = e14 & op1(e12, e11) = e14
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | REF_CLOSE: (15), (16), (19), (52) are inconsistent by sub-proof #1162.
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | Case 2:
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | |   (53)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | | REF_CLOSE: (30), (33), (53) are inconsistent by sub-proof #1146.
% 245.55/49.53  | | | | | 
% 245.55/49.53  | | | | End of split
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | End of split
% 245.55/49.53  | | | 
% 245.55/49.53  | | End of split
% 245.55/49.53  | | 
% 245.55/49.53  | Case 2:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (54)  (all_25_11 = e10 & op1(e12, e11) = e10) | (all_25_18 = e10 &
% 245.55/49.53  | |           op1(e12, e10) = e10)
% 245.55/49.53  | | 
% 245.55/49.53  | | BETA: splitting (54) gives:
% 245.55/49.53  | | 
% 245.55/49.53  | | Case 1:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (55)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (12), (13), (16), (17),
% 245.55/49.53  | | |            (18), (20), (21), (22), (24), (27), (31), (33), (55) are
% 245.55/49.53  | | |            inconsistent by sub-proof #1145.
% 245.55/49.53  | | | 
% 245.55/49.53  | | Case 2:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (56)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (12), (16), (17), (18),
% 245.55/49.53  | | |            (20), (21), (22), (24), (27), (30), (31), (33), (56) are
% 245.55/49.53  | | |            inconsistent by sub-proof #1144.
% 245.55/49.53  | | | 
% 245.55/49.53  | | End of split
% 245.55/49.53  | | 
% 245.55/49.53  | End of split
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1144 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_2 = e12
% 245.55/49.53    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.53    (4)  all_25_18 = e10 & op1(e12, e10) = e10
% 245.55/49.53    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.53           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.53           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.53    (6)   ~ (e12 = e11)
% 245.55/49.53    (7)   ~ (e14 = e11)
% 245.55/49.53    (8)   ~ (e13 = e10)
% 245.55/49.53    (9)   ~ (e14 = e13)
% 245.55/49.53    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (11)   ~ (e13 = e11)
% 245.55/49.53    (12)  op1(e13, e12) = e10
% 245.55/49.53    (13)   ~ (e11 = e10)
% 245.55/49.53    (14)   ~ (e13 = e12)
% 245.55/49.53    (15)  op1(e13, e13) = e11
% 245.55/49.53    (16)   ~ (e12 = e10)
% 245.55/49.53    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.53    (18)  all_25_18 = e12
% 245.55/49.53    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.53    (20)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (4) implies:
% 245.55/49.53  |   (21)  all_25_18 = e10
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (18), (21) imply:
% 245.55/49.53  |   (22)  e12 = e10
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (22) imply:
% 245.55/49.53  |   (23)  all_25_2 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.55/49.53  |            (15), (16), (17), (19), (20), (23) are inconsistent by sub-proof
% 245.55/49.53  |            #1281.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1145 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_2 = e12
% 245.55/49.53    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.53           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.53           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.53    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.55/49.53           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.55/49.53           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.55/49.53    (5)   ~ (e12 = e11)
% 245.55/49.53    (6)   ~ (e14 = e11)
% 245.55/49.53    (7)   ~ (e13 = e10)
% 245.55/49.53    (8)   ~ (e14 = e13)
% 245.55/49.53    (9)  all_25_11 = e12
% 245.55/49.53    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (11)   ~ (e13 = e11)
% 245.55/49.53    (12)  op1(e13, e12) = e10
% 245.55/49.53    (13)   ~ (e11 = e10)
% 245.55/49.53    (14)   ~ (e13 = e12)
% 245.55/49.53    (15)  op1(e13, e13) = e11
% 245.55/49.53    (16)  all_25_11 = e10 & op1(e12, e11) = e10
% 245.55/49.53    (17)   ~ (e12 = e10)
% 245.55/49.53    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.55/49.53            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.55/49.53            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.55/49.53    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.53            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.53            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.53    (20)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (16) implies:
% 245.55/49.53  |   (21)  all_25_11 = e10
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (9), (21) imply:
% 245.55/49.53  |   (22)  e12 = e10
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (22) imply:
% 245.55/49.53  |   (23)  all_25_2 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 245.55/49.53  |            (15), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 245.55/49.53  |            #1281.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1146 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.55/49.53    (2)  all_25_18 = e12
% 245.55/49.53    (3)   ~ (e14 = e12)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_18 = e14
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e14 = e12
% 245.55/49.53  | 
% 245.55/49.53  | SIMP: (5) implies:
% 245.55/49.53  |   (6)  e14 = e12
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (6) imply:
% 245.55/49.53  |   (7)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (7) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1147 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_8 = e14 & op1(e12, e12) = e14
% 245.55/49.53    (2)  all_25_8 = e10
% 245.55/49.53    (3)   ~ (e14 = e10)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_8 = e14
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e14 = e10
% 245.55/49.53  | 
% 245.55/49.53  | SIMP: (5) implies:
% 245.55/49.53  |   (6)  e14 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (6) imply:
% 245.55/49.53  |   (7)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (7) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1148 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.55/49.53    (2)  all_25_18 = e12
% 245.55/49.53    (3)   ~ (e12 = e11)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_18 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e12 = e11
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (5) imply:
% 245.55/49.53  |   (6)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (6) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1149 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.55/49.53    (2)  all_25_11 = e12
% 245.55/49.53    (3)   ~ (e12 = e11)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_11 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e12 = e11
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (5) imply:
% 245.55/49.53  |   (6)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (6) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1150 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.55/49.53    (2)  all_25_8 = e10
% 245.55/49.53    (3)   ~ (e11 = e10)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_8 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e11 = e10
% 245.55/49.53  | 
% 245.55/49.53  | SIMP: (5) implies:
% 245.55/49.53  |   (6)  e11 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (6) imply:
% 245.55/49.53  |   (7)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (7) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1151 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.55/49.53    (2)  all_25_7 = e14
% 245.55/49.53    (3)   ~ (e14 = e11)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_7 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e14 = e11
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (5) imply:
% 245.55/49.53  |   (6)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (6) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1152 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_24 = e10
% 245.55/49.53    (2)   ~ (e12 = e11)
% 245.55/49.53    (3)   ~ (e11 = e10)
% 245.55/49.53    (4)  all_25_19 = e10
% 245.55/49.53    (5)  all_25_18 = e12
% 245.55/49.53    (6)  (all_25_18 = e11 & op1(e12, e10) = e11) | (all_25_19 = e11 & op1(e11,
% 245.55/49.53             e10) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | BETA: splitting (6) gives:
% 245.55/49.53  | 
% 245.55/49.53  | Case 1:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (7)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.55/49.53  | | 
% 245.55/49.53  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1166.
% 245.55/49.53  | | 
% 245.55/49.53  | Case 2:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (8)  (all_25_19 = e11 & op1(e11, e10) = e11) | (all_25_24 = e11 & op1(e10,
% 245.55/49.53  | |            e10) = e11)
% 245.55/49.53  | | 
% 245.55/49.53  | | BETA: splitting (8) gives:
% 245.55/49.53  | | 
% 245.55/49.53  | | Case 1:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (9)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1153.
% 245.55/49.53  | | | 
% 245.55/49.53  | | Case 2:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (10)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #1201.
% 245.55/49.53  | | | 
% 245.55/49.53  | | End of split
% 245.55/49.53  | | 
% 245.55/49.53  | End of split
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1153 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_19 = e11 & op1(e11, e10) = e11
% 245.55/49.53    (2)  all_25_19 = e10
% 245.55/49.53    (3)   ~ (e11 = e10)
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (1) implies:
% 245.55/49.53  |   (4)  all_25_19 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.53  |   (5)  e11 = e10
% 245.55/49.53  | 
% 245.55/49.53  | REDUCE: (3), (5) imply:
% 245.55/49.53  |   (6)  $false
% 245.55/49.53  | 
% 245.55/49.53  | CLOSE: (6) is inconsistent.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1154 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  op1(e14, unit1) = e14
% 245.55/49.53    (2)  all_25_4 = e13
% 245.55/49.53    (3)   ~ (all_14_12 = e13)
% 245.55/49.53    (4)   ~ (e12 = e11)
% 245.55/49.53    (5)   ~ (e13 = e10)
% 245.55/49.53    (6)  op1(e11, e12) = all_14_13
% 245.55/49.53    (7)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.53           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.53           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.53    (8)  op1(e13, unit1) = e13
% 245.55/49.53    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (10)   ~ (e13 = e11)
% 245.55/49.53    (11)  op1(e13, e12) = e10
% 245.55/49.53    (12)  op1(e10, e14) = e12
% 245.55/49.53    (13)  (all_25_16 = e11 & op1(e14, e10) = e11) | (all_25_17 = e11 & op1(e13,
% 245.55/49.53              e10) = e11)
% 245.55/49.53    (14)   ~ (all_14_13 = e13)
% 245.55/49.53    (15)   ~ (all_14_14 = e13)
% 245.55/49.53    (16)  op1(e12, e12) = all_14_12
% 245.55/49.53    (17)  op1(e10, unit1) = e10
% 245.55/49.53    (18)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.53    (19)  op1(unit1, e14) = e14
% 245.55/49.53    (20)  op1(e14, e12) = all_14_10
% 245.55/49.53    (21)   ~ (all_14_10 = e12)
% 245.55/49.53    (22)   ~ (all_14_19 = e10)
% 245.55/49.53    (23)  op1(unit1, e12) = e12
% 245.55/49.53    (24)  op1(e10, e11) = all_14_19
% 245.55/49.53    (25)  op1(e10, e12) = all_14_14
% 245.55/49.53    (26)  all_25_17 = e13
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | BETA: splitting (13) gives:
% 245.55/49.53  | 
% 245.55/49.53  | Case 1:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (27)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.55/49.53  | | 
% 245.55/49.53  | | ALPHA: (27) implies:
% 245.55/49.53  | |   (28)  op1(e14, e10) = e11
% 245.55/49.53  | | 
% 245.55/49.53  | | REF_CLOSE: (1), (4), (5), (8), (9), (11), (12), (17), (18), (19), (20),
% 245.55/49.53  | |            (21), (22), (23), (24), (28) are inconsistent by sub-proof #1156.
% 245.55/49.53  | | 
% 245.55/49.53  | Case 2:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (29)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.55/49.53  | | 
% 245.55/49.53  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (10), (11), (14), (15), (16), (25),
% 245.55/49.53  | |            (26), (29) are inconsistent by sub-proof #1155.
% 245.55/49.53  | | 
% 245.55/49.53  | End of split
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1155 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  all_25_4 = e13
% 245.55/49.53    (2)   ~ (all_14_12 = e13)
% 245.55/49.53    (3)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.55/49.53    (4)   ~ (e13 = e10)
% 245.55/49.53    (5)  op1(e11, e12) = all_14_13
% 245.55/49.53    (6)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.53           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.53           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.53    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (8)   ~ (e13 = e11)
% 245.55/49.53    (9)  op1(e13, e12) = e10
% 245.55/49.53    (10)   ~ (all_14_13 = e13)
% 245.55/49.53    (11)   ~ (all_14_14 = e13)
% 245.55/49.53    (12)  op1(e12, e12) = all_14_12
% 245.55/49.53    (13)  op1(e10, e12) = all_14_14
% 245.55/49.53    (14)  all_25_17 = e13
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | ALPHA: (3) implies:
% 245.55/49.53  |   (15)  all_25_17 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (14), (15) imply:
% 245.55/49.53  |   (16)  e13 = e11
% 245.55/49.53  | 
% 245.55/49.53  | COMBINE_EQS: (1), (16) imply:
% 245.55/49.53  |   (17)  all_25_4 = e11
% 245.55/49.53  | 
% 245.55/49.53  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (17) are
% 245.55/49.53  |            inconsistent by sub-proof #1239.
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1156 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)  op1(e14, unit1) = e14
% 245.55/49.53    (2)  op1(e14, e10) = e11
% 245.55/49.53    (3)   ~ (e12 = e11)
% 245.55/49.53    (4)   ~ (e13 = e10)
% 245.55/49.53    (5)  op1(e13, unit1) = e13
% 245.55/49.53    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.53           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.53    (7)  op1(e13, e12) = e10
% 245.55/49.53    (8)  op1(e10, e14) = e12
% 245.55/49.53    (9)  op1(e10, unit1) = e10
% 245.55/49.53    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.53    (11)  op1(unit1, e14) = e14
% 245.55/49.53    (12)  op1(e14, e12) = all_14_10
% 245.55/49.53    (13)   ~ (all_14_10 = e12)
% 245.55/49.53    (14)   ~ (all_14_19 = e10)
% 245.55/49.53    (15)  op1(unit1, e12) = e12
% 245.55/49.53    (16)  op1(e10, e11) = all_14_19
% 245.55/49.53  
% 245.55/49.53  Begin of proof
% 245.55/49.53  | 
% 245.55/49.53  | BETA: splitting (10) gives:
% 245.55/49.53  | 
% 245.55/49.53  | Case 1:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (17)  unit1 = e14
% 245.55/49.53  | | 
% 245.55/49.53  | | REDUCE: (15), (17) imply:
% 245.55/49.53  | |   (18)  op1(e14, e12) = e12
% 245.55/49.53  | | 
% 245.55/49.53  | | REF_CLOSE: (6), (12), (13), (18) are inconsistent by sub-proof #1268.
% 245.55/49.53  | | 
% 245.55/49.53  | Case 2:
% 245.55/49.53  | | 
% 245.55/49.53  | |   (19)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.53  | | 
% 245.55/49.53  | | BETA: splitting (19) gives:
% 245.55/49.53  | | 
% 245.55/49.53  | | Case 1:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (20)  unit1 = e12
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REDUCE: (5), (20) imply:
% 245.55/49.53  | | |   (21)  op1(e13, e12) = e13
% 245.55/49.53  | | | 
% 245.55/49.53  | | | REF_CLOSE: (4), (6), (7), (21) are inconsistent by sub-proof #1334.
% 245.55/49.53  | | | 
% 245.55/49.53  | | Case 2:
% 245.55/49.53  | | | 
% 245.55/49.53  | | |   (22)  unit1 = e11 | unit1 = e10
% 245.55/49.53  | | | 
% 245.55/49.53  | | | BETA: splitting (22) gives:
% 245.55/49.53  | | | 
% 245.55/49.53  | | | Case 1:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (23)  unit1 = e11
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REDUCE: (9), (23) imply:
% 245.55/49.53  | | | |   (24)  op1(e10, e11) = e10
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REF_CLOSE: (6), (14), (16), (24) are inconsistent by sub-proof #1267.
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | Case 2:
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | |   (25)  unit1 = e10
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REDUCE: (11), (25) imply:
% 245.55/49.53  | | | |   (26)  op1(e10, e14) = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REDUCE: (1), (25) imply:
% 245.55/49.53  | | | |   (27)  op1(e14, e10) = e14
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | GROUND_INST: instantiating (6) with e12, e14, e14, e10, simplifying with
% 245.55/49.53  | | | |              (8), (26) gives:
% 245.55/49.53  | | | |   (28)  e14 = e12
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | GROUND_INST: instantiating (6) with e11, e14, e10, e14, simplifying with
% 245.55/49.53  | | | |              (2), (27) gives:
% 245.55/49.53  | | | |   (29)  e14 = e11
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | COMBINE_EQS: (28), (29) imply:
% 245.55/49.53  | | | |   (30)  e12 = e11
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | REDUCE: (3), (30) imply:
% 245.55/49.53  | | | |   (31)  $false
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | | CLOSE: (31) is inconsistent.
% 245.55/49.53  | | | | 
% 245.55/49.53  | | | End of split
% 245.55/49.53  | | | 
% 245.55/49.53  | | End of split
% 245.55/49.53  | | 
% 245.55/49.53  | End of split
% 245.55/49.53  | 
% 245.55/49.53  End of proof
% 245.55/49.53  
% 245.55/49.53  Sub-proof #1157 shows that the following formulas are inconsistent:
% 245.55/49.53  ----------------------------------------------------------------
% 245.55/49.53    (1)   ~ (e14 = e10)
% 245.55/49.53    (2)  all_25_2 = e12
% 245.55/49.54    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.55/49.54           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.55/49.54           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.55/49.54    (4)  all_25_4 = e13
% 245.55/49.54    (5)   ~ (all_14_12 = e13)
% 245.55/49.54    (6)   ~ (e14 = e11)
% 245.55/49.54    (7)  all_25_3 = e11
% 245.55/49.54    (8)   ~ (e13 = e10)
% 245.55/49.54    (9)  op1(e11, e12) = all_14_13
% 245.55/49.54    (10)   ~ (e14 = e13)
% 245.55/49.54    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.54            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.54            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.54    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (13)  all_25_15 = e13
% 245.55/49.54    (14)   ~ (e13 = e11)
% 245.55/49.54    (15)  op1(e13, e12) = e10
% 245.55/49.54    (16)   ~ (e13 = e12)
% 245.55/49.54    (17)  op1(e13, e13) = e11
% 245.55/49.54    (18)   ~ (all_14_13 = e13)
% 245.55/49.54    (19)  all_25_15 = e10 & op1(e11, e11) = e10
% 245.55/49.54    (20)   ~ (all_14_14 = e13)
% 245.55/49.54    (21)  op1(e12, e12) = all_14_12
% 245.55/49.54    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.54            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.55/49.54            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.55/49.54    (23)  op1(e10, e12) = all_14_14
% 245.55/49.54    (24)   ~ (e14 = e12)
% 245.55/49.54    (25)  all_25_17 = e13
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | ALPHA: (19) implies:
% 245.55/49.54  |   (26)  all_25_15 = e10
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (13), (26) imply:
% 245.55/49.54  |   (27)  e13 = e10
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (4), (27) imply:
% 245.55/49.54  |   (28)  all_25_4 = e10
% 245.55/49.54  | 
% 245.55/49.54  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 245.55/49.54  |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (25), (28)
% 245.55/49.54  |            are inconsistent by sub-proof #1242.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1158 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (2)  op1(e11, e12) = all_14_13
% 245.55/49.54    (3)  op1(e11, e12) = e10
% 245.55/49.54    (4)   ~ (all_14_13 = e10)
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | GROUND_INST: instantiating (1) with all_14_13, e10, e12, e11, simplifying with
% 245.55/49.54  |              (2), (3) gives:
% 245.55/49.54  |   (5)  all_14_13 = e10
% 245.55/49.54  | 
% 245.55/49.54  | REDUCE: (4), (5) imply:
% 245.55/49.54  |   (6)  $false
% 245.55/49.54  | 
% 245.55/49.54  | CLOSE: (6) is inconsistent.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1159 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.55/49.54    (2)  all_25_13 = e14
% 245.55/49.54    (3)   ~ (e14 = e10)
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | ALPHA: (1) implies:
% 245.55/49.54  |   (4)  all_25_13 = e10
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (2), (4) imply:
% 245.55/49.54  |   (5)  e14 = e10
% 245.55/49.54  | 
% 245.55/49.54  | REDUCE: (3), (5) imply:
% 245.55/49.54  |   (6)  $false
% 245.55/49.54  | 
% 245.55/49.54  | CLOSE: (6) is inconsistent.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1160 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)   ~ (e14 = e10)
% 245.55/49.54    (2)  all_25_1 = e12
% 245.55/49.54    (3)   ~ (e14 = e11)
% 245.55/49.54    (4)  all_25_3 = e11
% 245.55/49.54    (5)  op1(e10, e13) = e13
% 245.55/49.54    (6)   ~ (e14 = e13)
% 245.55/49.54    (7)  all_25_13 = e14
% 245.55/49.54    (8)   ~ (all_14_17 = e14)
% 245.55/49.54    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (10)  op1(e12, e11) = all_14_17
% 245.55/49.54    (11)  all_25_7 = e10
% 245.55/49.54    (12)  all_25_18 = e12
% 245.55/49.54    (13)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.54    (14)   ~ (e14 = e12)
% 245.55/49.54    (15)  (all_25_11 = e14 & op1(e12, e11) = e14) | (all_25_18 = e14 & op1(e12,
% 245.55/49.54              e10) = e14)
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | BETA: splitting (15) gives:
% 245.55/49.54  | 
% 245.55/49.54  | Case 1:
% 245.55/49.54  | | 
% 245.55/49.54  | |   (16)  all_25_11 = e14 & op1(e12, e11) = e14
% 245.55/49.54  | | 
% 245.55/49.54  | | REF_CLOSE: (8), (9), (10), (16) are inconsistent by sub-proof #1162.
% 245.55/49.54  | | 
% 245.55/49.54  | Case 2:
% 245.55/49.54  | | 
% 245.55/49.54  | |   (17)  all_25_18 = e14 & op1(e12, e10) = e14
% 245.55/49.54  | | 
% 245.55/49.54  | | ALPHA: (17) implies:
% 245.55/49.54  | |   (18)  all_25_18 = e14
% 245.55/49.54  | | 
% 245.55/49.54  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 245.55/49.54  | |            (18) are inconsistent by sub-proof #1161.
% 245.55/49.54  | | 
% 245.55/49.54  | End of split
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1161 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)   ~ (e14 = e10)
% 245.55/49.54    (2)  all_25_1 = e12
% 245.55/49.54    (3)  all_25_18 = e14
% 245.55/49.54    (4)   ~ (e14 = e11)
% 245.55/49.54    (5)  all_25_3 = e11
% 245.55/49.54    (6)  op1(e10, e13) = e13
% 245.55/49.54    (7)   ~ (e14 = e13)
% 245.55/49.54    (8)  all_25_13 = e14
% 245.55/49.54    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (10)  all_25_7 = e10
% 245.55/49.54    (11)  all_25_18 = e12
% 245.55/49.54    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.54    (13)   ~ (e14 = e12)
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (3), (11) imply:
% 245.55/49.54  |   (14)  e14 = e12
% 245.55/49.54  | 
% 245.55/49.54  | SIMP: (14) implies:
% 245.55/49.54  |   (15)  e14 = e12
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (8), (15) imply:
% 245.55/49.54  |   (16)  all_25_13 = e12
% 245.55/49.54  | 
% 245.55/49.54  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (12), (13), (16) are
% 245.55/49.54  |            inconsistent by sub-proof #1194.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1162 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)  all_25_11 = e14 & op1(e12, e11) = e14
% 245.55/49.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (3)  op1(e12, e11) = all_14_17
% 245.55/49.54    (4)   ~ (all_14_17 = e14)
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | ALPHA: (1) implies:
% 245.55/49.54  |   (5)  op1(e12, e11) = e14
% 245.55/49.54  | 
% 245.55/49.54  | GROUND_INST: instantiating (2) with all_14_17, e14, e11, e12, simplifying with
% 245.55/49.54  |              (3), (5) gives:
% 245.55/49.54  |   (6)  all_14_17 = e14
% 245.55/49.54  | 
% 245.55/49.54  | REDUCE: (4), (6) imply:
% 245.55/49.54  |   (7)  $false
% 245.55/49.54  | 
% 245.55/49.54  | CLOSE: (7) is inconsistent.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1163 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)   ~ (e12 = e11)
% 245.55/49.54    (2)   ~ (e13 = e10)
% 245.55/49.54    (3)  op1(e10, e12) = e14
% 245.55/49.54    (4)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10,
% 245.55/49.54             e14) = e11)
% 245.55/49.54    (5)  op1(e13, unit1) = e13
% 245.55/49.54    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (7)  op1(e13, e12) = e10
% 245.55/49.54    (8)  all_25_12 = e10
% 245.55/49.54    (9)   ~ (e11 = e10)
% 245.55/49.54    (10)   ~ (e13 = e12)
% 245.55/49.54    (11)  op1(e10, unit1) = e10
% 245.55/49.54    (12)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.55/49.54    (13)  op1(unit1, e14) = e14
% 245.55/49.54    (14)   ~ (all_14_19 = e10)
% 245.55/49.54    (15)  op1(unit1, e12) = e12
% 245.55/49.54    (16)  op1(e10, e11) = all_14_19
% 245.55/49.54    (17)  op1(e13, e14) = e12
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | BETA: splitting (4) gives:
% 245.55/49.54  | 
% 245.55/49.54  | Case 1:
% 245.55/49.54  | | 
% 245.55/49.54  | |   (18)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.55/49.54  | | 
% 245.55/49.54  | | ALPHA: (18) implies:
% 245.55/49.54  | |   (19)  all_25_12 = e11
% 245.55/49.54  | | 
% 245.55/49.54  | | REF_CLOSE: (8), (9), (19) are inconsistent by sub-proof #1177.
% 245.55/49.54  | | 
% 245.55/49.54  | Case 2:
% 245.55/49.54  | | 
% 245.55/49.54  | |   (20)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.55/49.54  | | 
% 245.55/49.54  | | ALPHA: (20) implies:
% 245.55/49.54  | |   (21)  op1(e10, e14) = e11
% 245.55/49.54  | | 
% 245.55/49.54  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10), (11), (12), (13), (14), (15),
% 245.55/49.54  | |            (16), (17), (21) are inconsistent by sub-proof #1203.
% 245.55/49.54  | | 
% 245.55/49.54  | End of split
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1164 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)  all_25_4 = e13
% 245.55/49.54    (2)   ~ (all_14_12 = e13)
% 245.55/49.54    (3)   ~ (e13 = e10)
% 245.55/49.54    (4)  op1(e11, e12) = all_14_13
% 245.55/49.54    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.54           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.54           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.54    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (7)   ~ (e13 = e11)
% 245.55/49.54    (8)  op1(e13, e12) = e10
% 245.55/49.54    (9)   ~ (all_14_13 = e13)
% 245.55/49.54    (10)  all_25_6 = e13
% 245.55/49.54    (11)   ~ (all_14_14 = e13)
% 245.55/49.54    (12)  op1(e12, e12) = all_14_12
% 245.55/49.54    (13)  op1(e10, e12) = all_14_14
% 245.55/49.54    (14)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.55/49.54  
% 245.55/49.54  Begin of proof
% 245.55/49.54  | 
% 245.55/49.54  | ALPHA: (14) implies:
% 245.55/49.54  |   (15)  all_25_6 = e11
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (10), (15) imply:
% 245.55/49.54  |   (16)  e13 = e11
% 245.55/49.54  | 
% 245.55/49.54  | COMBINE_EQS: (1), (16) imply:
% 245.55/49.54  |   (17)  all_25_4 = e11
% 245.55/49.54  | 
% 245.55/49.54  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (17) are
% 245.55/49.54  |            inconsistent by sub-proof #1239.
% 245.55/49.54  | 
% 245.55/49.54  End of proof
% 245.55/49.54  
% 245.55/49.54  Sub-proof #1165 shows that the following formulas are inconsistent:
% 245.55/49.54  ----------------------------------------------------------------
% 245.55/49.54    (1)  all_25_9 = e10
% 245.55/49.54    (2)   ~ (e14 = e10)
% 245.55/49.54    (3)  all_25_2 = e12
% 245.55/49.54    (4)  all_25_1 = e12
% 245.55/49.54    (5)  all_25_4 = e13
% 245.55/49.54    (6)   ~ (all_14_12 = e13)
% 245.55/49.54    (7)   ~ (e12 = e11)
% 245.55/49.54    (8)   ~ (e14 = e11)
% 245.55/49.54    (9)  all_25_3 = e11
% 245.55/49.54    (10)  op1(e10, e13) = e13
% 245.55/49.54    (11)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.55/49.54            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.55/49.54            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.55/49.54    (12)   ~ (e13 = e10)
% 245.55/49.54    (13)  op1(e11, e12) = all_14_13
% 245.55/49.54    (14)   ~ (e14 = e13)
% 245.55/49.54    (15)  all_25_13 = e14
% 245.55/49.54    (16)  all_25_11 = e12
% 245.55/49.54    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.55/49.54            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.55/49.54            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.55/49.54    (18)  op1(e14, e11) = all_14_15
% 245.55/49.54    (19)  all_25_8 = e14
% 245.55/49.54    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.55/49.54            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.55/49.54    (21)   ~ (e13 = e11)
% 245.55/49.54    (22)  op1(e13, e12) = e10
% 245.55/49.54    (23)   ~ (e11 = e10)
% 245.55/49.54    (24)  all_25_7 = e10
% 245.55/49.54    (25)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.55/49.54            = e11)
% 245.55/49.54    (26)   ~ (all_14_13 = e13)
% 245.55/49.54    (27)  all_25_6 = e13
% 245.55/49.54    (28)   ~ (all_14_14 = e13)
% 245.55/49.54    (29)   ~ (all_14_15 = e14)
% 245.55/49.54    (30)  op1(e12, e12) = all_14_12
% 245.55/49.54    (31)  all_25_18 = e12
% 245.55/49.54    (32)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.55/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.55/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.55/49.54    (33)  op1(e10, e12) = all_14_14
% 245.61/49.54    (34)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.61/49.54            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.61/49.54            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.61/49.54    (35)   ~ (e14 = e12)
% 245.61/49.54    (36)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 & op1(e12, e13)
% 245.61/49.54            = e11) | (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.61/49.54            op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | BETA: splitting (25) gives:
% 245.61/49.54  | 
% 245.61/49.54  | Case 1:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (37)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.61/49.54  | | 
% 245.61/49.54  | | ALPHA: (37) implies:
% 245.61/49.54  | |   (38)  all_25_0 = e11
% 245.61/49.54  | | 
% 245.61/49.54  | | BETA: splitting (36) gives:
% 245.61/49.54  | | 
% 245.61/49.54  | | Case 1:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (39)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_7 = e11 &
% 245.61/49.54  | | |           op1(e12, e13) = e11)
% 245.61/49.54  | | | 
% 245.61/49.54  | | | BETA: splitting (39) gives:
% 245.61/49.54  | | | 
% 245.61/49.54  | | | Case 1:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (40)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | ALPHA: (40) implies:
% 245.61/49.54  | | | |   (41)  all_25_6 = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | COMBINE_EQS: (27), (41) imply:
% 245.61/49.54  | | | |   (42)  e13 = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | REF_CLOSE: (5), (6), (12), (13), (17), (20), (21), (22), (26), (28),
% 245.61/49.54  | | | |            (30), (33), (42) are inconsistent by sub-proof #1172.
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | Case 2:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (43)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (11), (14), (18), (20), (21),
% 245.61/49.54  | | | |            (23), (24), (29), (34), (35), (38), (43) are inconsistent by
% 245.61/49.54  | | | |            sub-proof #1171.
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | End of split
% 245.61/49.54  | | | 
% 245.61/49.54  | | Case 2:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (44)  (all_25_8 = e11 & op1(e12, e12) = e11) | (all_25_11 = e11 &
% 245.61/49.54  | | |           op1(e12, e11) = e11) | (all_25_18 = e11 & op1(e12, e10) = e11)
% 245.61/49.54  | | | 
% 245.61/49.54  | | | BETA: splitting (44) gives:
% 245.61/49.54  | | | 
% 245.61/49.54  | | | Case 1:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (45)  all_25_8 = e11 & op1(e12, e12) = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | ALPHA: (45) implies:
% 245.61/49.54  | | | |   (46)  all_25_8 = e11
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | REF_CLOSE: (2), (4), (8), (9), (10), (14), (15), (19), (20), (24), (32),
% 245.61/49.54  | | | |            (35), (46) are inconsistent by sub-proof #1168.
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | Case 2:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (47)  (all_25_11 = e11 & op1(e12, e11) = e11) | (all_25_18 = e11 &
% 245.61/49.54  | | | |           op1(e12, e10) = e11)
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | BETA: splitting (47) gives:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | Case 1:
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | |   (48)  all_25_11 = e11 & op1(e12, e11) = e11
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | | ALPHA: (48) implies:
% 245.61/49.54  | | | | |   (49)  all_25_11 = e11
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | | REF_CLOSE: (7), (16), (49) are inconsistent by sub-proof #1167.
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | Case 2:
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | |   (50)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | | REF_CLOSE: (7), (31), (50) are inconsistent by sub-proof #1166.
% 245.61/49.54  | | | | | 
% 245.61/49.54  | | | | End of split
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | End of split
% 245.61/49.54  | | | 
% 245.61/49.54  | | End of split
% 245.61/49.54  | | 
% 245.61/49.54  | Case 2:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (51)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.61/49.54  | | 
% 245.61/49.54  | | REF_CLOSE: (3), (7), (51) are inconsistent by sub-proof #1189.
% 245.61/49.54  | | 
% 245.61/49.54  | End of split
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1166 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)  all_25_18 = e11 & op1(e12, e10) = e11
% 245.61/49.54    (2)  all_25_18 = e12
% 245.61/49.54    (3)   ~ (e12 = e11)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | ALPHA: (1) implies:
% 245.61/49.54  |   (4)  all_25_18 = e11
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (2), (4) imply:
% 245.61/49.54  |   (5)  e12 = e11
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (5) implies:
% 245.61/49.54  |   (6)  e12 = e11
% 245.61/49.54  | 
% 245.61/49.54  | REDUCE: (3), (6) imply:
% 245.61/49.54  |   (7)  $false
% 245.61/49.54  | 
% 245.61/49.54  | CLOSE: (7) is inconsistent.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1167 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)  all_25_11 = e12
% 245.61/49.54    (2)  all_25_11 = e11
% 245.61/49.54    (3)   ~ (e12 = e11)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (1), (2) imply:
% 245.61/49.54  |   (4)  e12 = e11
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (4) implies:
% 245.61/49.54  |   (5)  e12 = e11
% 245.61/49.54  | 
% 245.61/49.54  | REDUCE: (3), (5) imply:
% 245.61/49.54  |   (6)  $false
% 245.61/49.54  | 
% 245.61/49.54  | CLOSE: (6) is inconsistent.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1168 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)   ~ (e14 = e10)
% 245.61/49.54    (2)  all_25_1 = e12
% 245.61/49.54    (3)  all_25_8 = e11
% 245.61/49.54    (4)   ~ (e14 = e11)
% 245.61/49.54    (5)  all_25_3 = e11
% 245.61/49.54    (6)  op1(e10, e13) = e13
% 245.61/49.54    (7)   ~ (e14 = e13)
% 245.61/49.54    (8)  all_25_13 = e14
% 245.61/49.54    (9)  all_25_8 = e14
% 245.61/49.54    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (11)  all_25_7 = e10
% 245.61/49.54    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.61/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.61/49.54    (13)   ~ (e14 = e12)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (3), (9) imply:
% 245.61/49.54  |   (14)  e14 = e11
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (14) implies:
% 245.61/49.54  |   (15)  e14 = e11
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (8), (15) imply:
% 245.61/49.54  |   (16)  all_25_13 = e11
% 245.61/49.54  | 
% 245.61/49.54  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (10), (11), (12), (13), (16) are
% 245.61/49.54  |            inconsistent by sub-proof #1169.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1169 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)   ~ (e14 = e10)
% 245.61/49.54    (2)  all_25_1 = e12
% 245.61/49.54    (3)   ~ (e14 = e11)
% 245.61/49.54    (4)  all_25_3 = e11
% 245.61/49.54    (5)  op1(e10, e13) = e13
% 245.61/49.54    (6)   ~ (e14 = e13)
% 245.61/49.54    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (8)  all_25_7 = e10
% 245.61/49.54    (9)  all_25_13 = e11
% 245.61/49.54    (10)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.61/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.61/49.54    (11)   ~ (e14 = e12)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | BETA: splitting (10) gives:
% 245.61/49.54  | 
% 245.61/49.54  | Case 1:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.61/49.54  | |             e13) = e14)
% 245.61/49.54  | | 
% 245.61/49.54  | | BETA: splitting (12) gives:
% 245.61/49.54  | | 
% 245.61/49.54  | | Case 1:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (13)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.61/49.54  | | | 
% 245.61/49.54  | | | REF_CLOSE: (2), (11), (13) are inconsistent by sub-proof #1292.
% 245.61/49.54  | | | 
% 245.61/49.54  | | Case 2:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (14)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.61/49.54  | | | 
% 245.61/49.54  | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #1291.
% 245.61/49.54  | | | 
% 245.61/49.54  | | End of split
% 245.61/49.54  | | 
% 245.61/49.54  | Case 2:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (15)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.61/49.54  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.61/49.54  | | 
% 245.61/49.54  | | BETA: splitting (15) gives:
% 245.61/49.54  | | 
% 245.61/49.54  | | Case 1:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (16)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.61/49.54  | | | 
% 245.61/49.54  | | | ALPHA: (16) implies:
% 245.61/49.54  | | |   (17)  all_25_7 = e14
% 245.61/49.54  | | | 
% 245.61/49.54  | | | REF_CLOSE: (1), (8), (17) are inconsistent by sub-proof #1251.
% 245.61/49.54  | | | 
% 245.61/49.54  | | Case 2:
% 245.61/49.54  | | | 
% 245.61/49.54  | | |   (18)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.61/49.54  | | |           op1(e10, e13) = e14)
% 245.61/49.54  | | | 
% 245.61/49.54  | | | BETA: splitting (18) gives:
% 245.61/49.54  | | | 
% 245.61/49.54  | | | Case 1:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (19)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | ALPHA: (19) implies:
% 245.61/49.54  | | | |   (20)  all_25_13 = e14
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | REF_CLOSE: (3), (9), (20) are inconsistent by sub-proof #1170.
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | Case 2:
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | |   (21)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | ALPHA: (21) implies:
% 245.61/49.54  | | | |   (22)  op1(e10, e13) = e14
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | | REF_CLOSE: (5), (6), (7), (22) are inconsistent by sub-proof #1274.
% 245.61/49.54  | | | | 
% 245.61/49.54  | | | End of split
% 245.61/49.54  | | | 
% 245.61/49.54  | | End of split
% 245.61/49.54  | | 
% 245.61/49.54  | End of split
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1170 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)  all_25_13 = e14
% 245.61/49.54    (2)  all_25_13 = e11
% 245.61/49.54    (3)   ~ (e14 = e11)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (1), (2) imply:
% 245.61/49.54  |   (4)  e14 = e11
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (4) implies:
% 245.61/49.54  |   (5)  e14 = e11
% 245.61/49.54  | 
% 245.61/49.54  | REDUCE: (3), (5) imply:
% 245.61/49.54  |   (6)  $false
% 245.61/49.54  | 
% 245.61/49.54  | CLOSE: (6) is inconsistent.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1171 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)  all_25_9 = e10
% 245.61/49.54    (2)   ~ (e14 = e10)
% 245.61/49.54    (3)  all_25_1 = e12
% 245.61/49.54    (4)  all_25_4 = e13
% 245.61/49.54    (5)   ~ (e12 = e11)
% 245.61/49.54    (6)   ~ (e14 = e11)
% 245.61/49.54    (7)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.61/49.54           = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.61/49.54           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.61/49.54    (8)   ~ (e14 = e13)
% 245.61/49.54    (9)  op1(e14, e11) = all_14_15
% 245.61/49.54    (10)  all_25_7 = e11 & op1(e12, e13) = e11
% 245.61/49.54    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (12)   ~ (e13 = e11)
% 245.61/49.54    (13)   ~ (e11 = e10)
% 245.61/49.54    (14)  all_25_7 = e10
% 245.61/49.54    (15)  all_25_0 = e11
% 245.61/49.54    (16)   ~ (all_14_15 = e14)
% 245.61/49.54    (17)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.61/49.54            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.61/49.54            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.61/49.54    (18)   ~ (e14 = e12)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | ALPHA: (10) implies:
% 245.61/49.54  |   (19)  all_25_7 = e11
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (14), (19) imply:
% 245.61/49.54  |   (20)  e11 = e10
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (20) implies:
% 245.61/49.54  |   (21)  e11 = e10
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (15), (21) imply:
% 245.61/49.54  |   (22)  all_25_0 = e10
% 245.61/49.54  | 
% 245.61/49.54  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.61/49.54  |            (16), (17), (18), (22) are inconsistent by sub-proof #1218.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1172 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)  all_25_4 = e13
% 245.61/49.54    (2)   ~ (all_14_12 = e13)
% 245.61/49.54    (3)   ~ (e13 = e10)
% 245.61/49.54    (4)  op1(e11, e12) = all_14_13
% 245.61/49.54    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.61/49.54           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.61/49.54           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.61/49.54    (6)  e13 = e11
% 245.61/49.54    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (8)   ~ (e13 = e11)
% 245.61/49.54    (9)  op1(e13, e12) = e10
% 245.61/49.54    (10)   ~ (all_14_13 = e13)
% 245.61/49.54    (11)   ~ (all_14_14 = e13)
% 245.61/49.54    (12)  op1(e12, e12) = all_14_12
% 245.61/49.54    (13)  op1(e10, e12) = all_14_14
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (6) implies:
% 245.61/49.54  |   (14)  e13 = e11
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (1), (14) imply:
% 245.61/49.54  |   (15)  all_25_4 = e11
% 245.61/49.54  | 
% 245.61/49.54  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (15) are
% 245.61/49.54  |            inconsistent by sub-proof #1239.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1173 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)   ~ (e14 = e10)
% 245.61/49.54    (2)  all_25_1 = e12
% 245.61/49.54    (3)   ~ (e14 = e11)
% 245.61/49.54    (4)  all_25_3 = e11
% 245.61/49.54    (5)  op1(e10, e13) = e13
% 245.61/49.54    (6)   ~ (e14 = e13)
% 245.61/49.54    (7)  all_25_13 = e14
% 245.61/49.54    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (9)  all_25_7 = e10
% 245.61/49.54    (10)  all_25_6 = e13
% 245.61/49.54    (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.61/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.61/49.54    (12)   ~ (e14 = e12)
% 245.61/49.54    (13)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_7 = e14 & op1(e12, e13)
% 245.61/49.54            = e14)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | BETA: splitting (13) gives:
% 245.61/49.54  | 
% 245.61/49.54  | Case 1:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (14)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.61/49.54  | | 
% 245.61/49.54  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.61/49.54  | |            (14) are inconsistent by sub-proof #1174.
% 245.61/49.54  | | 
% 245.61/49.54  | Case 2:
% 245.61/49.54  | | 
% 245.61/49.54  | |   (15)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.61/49.54  | | 
% 245.61/49.54  | | ALPHA: (15) implies:
% 245.61/49.54  | |   (16)  all_25_7 = e14
% 245.61/49.54  | | 
% 245.61/49.54  | | REF_CLOSE: (1), (9), (16) are inconsistent by sub-proof #1251.
% 245.61/49.54  | | 
% 245.61/49.54  | End of split
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1174 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)   ~ (e14 = e10)
% 245.61/49.54    (2)  all_25_1 = e12
% 245.61/49.54    (3)   ~ (e14 = e11)
% 245.61/49.54    (4)  all_25_3 = e11
% 245.61/49.54    (5)  op1(e10, e13) = e13
% 245.61/49.54    (6)   ~ (e14 = e13)
% 245.61/49.54    (7)  all_25_13 = e14
% 245.61/49.54    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.54           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.54    (9)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.61/49.54    (10)  all_25_7 = e10
% 245.61/49.54    (11)  all_25_6 = e13
% 245.61/49.54    (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.54            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.61/49.54            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.61/49.54    (13)   ~ (e14 = e12)
% 245.61/49.54  
% 245.61/49.54  Begin of proof
% 245.61/49.54  | 
% 245.61/49.54  | ALPHA: (9) implies:
% 245.61/49.54  |   (14)  all_25_6 = e14
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (11), (14) imply:
% 245.61/49.54  |   (15)  e14 = e13
% 245.61/49.54  | 
% 245.61/49.54  | SIMP: (15) implies:
% 245.61/49.54  |   (16)  e14 = e13
% 245.61/49.54  | 
% 245.61/49.54  | COMBINE_EQS: (7), (16) imply:
% 245.61/49.54  |   (17)  all_25_13 = e13
% 245.61/49.54  | 
% 245.61/49.54  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12), (13), (17) are
% 245.61/49.54  |            inconsistent by sub-proof #1249.
% 245.61/49.54  | 
% 245.61/49.54  End of proof
% 245.61/49.54  
% 245.61/49.54  Sub-proof #1175 shows that the following formulas are inconsistent:
% 245.61/49.54  ----------------------------------------------------------------
% 245.61/49.54    (1)   ~ (e14 = e10)
% 245.61/49.54    (2)  all_25_2 = e12
% 245.61/49.54    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.61/49.54           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.61/49.54           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.61/49.54    (4)  all_25_24 = e10
% 245.61/49.54    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.61/49.54           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.61/49.54           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.61/49.54    (6)   ~ (e12 = e11)
% 245.61/49.54    (7)   ~ (e14 = e11)
% 245.61/49.54    (8)  all_25_3 = e11
% 245.61/49.54    (9)   ~ (e13 = e10)
% 245.61/49.54    (10)   ~ (e14 = e13)
% 245.61/49.54    (11)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.61/49.54            = e10) | (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 &
% 245.61/49.55            op1(e11, e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.61/49.55    (12)  op1(e13, e11) = e14
% 245.61/49.55    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.55            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.55    (14)   ~ (e13 = e11)
% 245.61/49.55    (15)  op1(e13, e12) = e10
% 245.61/49.55    (16)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.61/49.55    (17)   ~ (e11 = e10)
% 245.61/49.55    (18)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.61/49.55            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.61/49.55            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.61/49.55    (19)   ~ (e13 = e12)
% 245.61/49.55    (20)  op1(e13, e13) = e11
% 245.61/49.55    (21)   ~ (e12 = e10)
% 245.61/49.55    (22)  all_25_6 = e13
% 245.61/49.55    (23)   ~ (all_14_14 = e13)
% 245.61/49.55    (24)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.61/49.55            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.61/49.55            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.61/49.55    (25)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.61/49.55            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.61/49.55            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.61/49.55    (26)   ~ (all_14_19 = e13)
% 245.61/49.55    (27)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.61/49.55              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.61/49.55            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.61/49.55    (28)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.55            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.61/49.55            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.61/49.55    (29)  op1(e10, e11) = all_14_19
% 245.61/49.55    (30)  op1(e10, e12) = all_14_14
% 245.61/49.55    (31)   ~ (e14 = e12)
% 245.61/49.55    (32)  all_25_17 = e13
% 245.61/49.55  
% 245.61/49.55  Begin of proof
% 245.61/49.55  | 
% 245.61/49.55  | ALPHA: (16) implies:
% 245.61/49.55  |   (33)  op1(e10, e13) = e14
% 245.61/49.55  | 
% 245.61/49.55  | BETA: splitting (11) gives:
% 245.61/49.55  | 
% 245.61/49.55  | Case 1:
% 245.61/49.55  | | 
% 245.61/49.55  | |   (34)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13,
% 245.61/49.55  | |             e14) = e10)
% 245.61/49.55  | | 
% 245.61/49.55  | | BETA: splitting (34) gives:
% 245.61/49.55  | | 
% 245.61/49.55  | | Case 1:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (35)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.61/49.55  | | | 
% 245.61/49.55  | | | ALPHA: (35) implies:
% 245.61/49.55  | | |   (36)  all_25_0 = e10
% 245.61/49.55  | | | 
% 245.61/49.55  | | | BETA: splitting (24) gives:
% 245.61/49.55  | | | 
% 245.61/49.55  | | | Case 1:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (37)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 &
% 245.61/49.55  | | | |           op1(e13, e14) = e11)
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | BETA: splitting (37) gives:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | Case 1:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (38)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (17), (36), (38) are inconsistent by sub-proof #1222.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | Case 2:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (39)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (2), (6), (39) are inconsistent by sub-proof #1189.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | End of split
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | Case 2:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (40)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.61/49.55  | | | |           op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | BETA: splitting (40) gives:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | Case 1:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (41)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (14), (22), (41) are inconsistent by sub-proof #1188.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | Case 2:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (42)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.61/49.55  | | | | |           op1(e10, e14) = e11)
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | BETA: splitting (42) gives:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | Case 1:
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | |   (43)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | ALPHA: (43) implies:
% 245.61/49.55  | | | | | |   (44)  all_25_12 = e11
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | BETA: splitting (18) gives:
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | Case 1:
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | |   (45)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 245.61/49.55  | | | | | | |           op1(e13, e14) = e14)
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | | BETA: splitting (45) gives:
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | | Case 1:
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | |   (46)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | | REF_CLOSE: (1), (36), (46) are inconsistent by sub-proof #1220.
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | Case 2:
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | |   (47)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | | REF_CLOSE: (3), (6), (9), (10), (12), (13), (14), (15), (19),
% 245.61/49.55  | | | | | | | |            (20), (21), (25), (31), (47) are inconsistent by
% 245.61/49.55  | | | | | | | |            sub-proof #1185.
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | End of split
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | Case 2:
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | |   (48)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14
% 245.61/49.55  | | | | | | |           & op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10,
% 245.61/49.55  | | | | | | |             e14) = e14)
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | | BETA: splitting (48) gives:
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | | Case 1:
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | |   (49)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | | REF_CLOSE: (10), (22), (49) are inconsistent by sub-proof #1184.
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | Case 2:
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | |   (50)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 =
% 245.61/49.55  | | | | | | | |           e14 & op1(e10, e14) = e14)
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | | BETA: splitting (50) gives:
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | | Case 1:
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | |   (51)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | | REF_CLOSE: (7), (44), (51) are inconsistent by sub-proof
% 245.61/49.55  | | | | | | | | |            #1183.
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | Case 2:
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | |   (52)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | | ALPHA: (52) implies:
% 245.61/49.55  | | | | | | | | |   (53)  all_25_20 = e14
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (13),
% 245.61/49.55  | | | | | | | | |            (14), (15), (19), (20), (23), (26), (27), (28),
% 245.61/49.55  | | | | | | | | |            (29), (30), (31), (32), (33), (53) are inconsistent
% 245.61/49.55  | | | | | | | | |            by sub-proof #1182.
% 245.61/49.55  | | | | | | | | | 
% 245.61/49.55  | | | | | | | | End of split
% 245.61/49.55  | | | | | | | | 
% 245.61/49.55  | | | | | | | End of split
% 245.61/49.55  | | | | | | | 
% 245.61/49.55  | | | | | | End of split
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | Case 2:
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | |   (54)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | ALPHA: (54) implies:
% 245.61/49.55  | | | | | |   (55)  all_25_20 = e11
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (13), (14),
% 245.61/49.55  | | | | | |            (15), (19), (20), (23), (26), (27), (28), (29), (30),
% 245.61/49.55  | | | | | |            (31), (32), (33), (55) are inconsistent by sub-proof
% 245.61/49.55  | | | | | |            #1181.
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | End of split
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | End of split
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | End of split
% 245.61/49.55  | | | 
% 245.61/49.55  | | Case 2:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (56)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.61/49.55  | | | 
% 245.61/49.55  | | | ALPHA: (56) implies:
% 245.61/49.55  | | |   (57)  all_25_2 = e10
% 245.61/49.55  | | | 
% 245.61/49.55  | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (13), (14), (15), (17),
% 245.61/49.55  | | |            (19), (20), (21), (25), (28), (31), (57) are inconsistent by
% 245.61/49.55  | | |            sub-proof #1281.
% 245.61/49.55  | | | 
% 245.61/49.55  | | End of split
% 245.61/49.55  | | 
% 245.61/49.55  | Case 2:
% 245.61/49.55  | | 
% 245.61/49.55  | |   (58)  (all_25_6 = e10 & op1(e12, e14) = e10) | (all_25_12 = e10 & op1(e11,
% 245.61/49.55  | |             e14) = e10) | (all_25_20 = e10 & op1(e10, e14) = e10)
% 245.61/49.55  | | 
% 245.61/49.55  | | BETA: splitting (58) gives:
% 245.61/49.55  | | 
% 245.61/49.55  | | Case 1:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (59)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.61/49.55  | | | 
% 245.61/49.55  | | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (10), (13), (14), (15), (19),
% 245.61/49.55  | | |            (20), (22), (28), (31), (32), (59) are inconsistent by
% 245.61/49.55  | | |            sub-proof #1180.
% 245.61/49.55  | | | 
% 245.61/49.55  | | Case 2:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (60)  (all_25_12 = e10 & op1(e11, e14) = e10) | (all_25_20 = e10 &
% 245.61/49.55  | | |           op1(e10, e14) = e10)
% 245.61/49.55  | | | 
% 245.61/49.55  | | | BETA: splitting (60) gives:
% 245.61/49.55  | | | 
% 245.61/49.55  | | | Case 1:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (61)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | ALPHA: (61) implies:
% 245.61/49.55  | | | |   (62)  all_25_12 = e10
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13),
% 245.61/49.55  | | | |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 245.61/49.55  | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (62)
% 245.61/49.55  | | | |            are inconsistent by sub-proof #1176.
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | Case 2:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (63)  all_25_20 = e10 & op1(e10, e14) = e10
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | ALPHA: (63) implies:
% 245.61/49.55  | | | |   (64)  all_25_20 = e10
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (13), (14), (15),
% 245.61/49.55  | | | |            (19), (20), (23), (26), (27), (28), (29), (30), (31), (32),
% 245.61/49.55  | | | |            (33), (64) are inconsistent by sub-proof #1213.
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | End of split
% 245.61/49.55  | | | 
% 245.61/49.55  | | End of split
% 245.61/49.55  | | 
% 245.61/49.55  | End of split
% 245.61/49.55  | 
% 245.61/49.55  End of proof
% 245.61/49.55  
% 245.61/49.55  Sub-proof #1176 shows that the following formulas are inconsistent:
% 245.61/49.55  ----------------------------------------------------------------
% 245.61/49.55    (1)   ~ (e14 = e10)
% 245.61/49.55    (2)  all_25_2 = e12
% 245.61/49.55    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.61/49.55           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.61/49.55           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.61/49.55    (4)  all_25_24 = e10
% 245.61/49.55    (5)   ~ (e12 = e11)
% 245.61/49.55    (6)   ~ (e14 = e11)
% 245.61/49.55    (7)  all_25_3 = e11
% 245.61/49.55    (8)   ~ (e13 = e10)
% 245.61/49.55    (9)   ~ (e14 = e13)
% 245.61/49.55    (10)  op1(e13, e11) = e14
% 245.61/49.55    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.61/49.55            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.61/49.55    (12)   ~ (e13 = e11)
% 245.61/49.55    (13)  op1(e13, e12) = e10
% 245.61/49.55    (14)  all_25_12 = e10
% 245.61/49.55    (15)   ~ (e11 = e10)
% 245.61/49.55    (16)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 & op1(e13, e14)
% 245.61/49.55            = e14) | (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.61/49.55            op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.61/49.55    (17)   ~ (e13 = e12)
% 245.61/49.55    (18)  op1(e13, e13) = e11
% 245.61/49.55    (19)  op1(e10, e13) = e14
% 245.61/49.55    (20)   ~ (e12 = e10)
% 245.61/49.55    (21)  all_25_6 = e13
% 245.61/49.55    (22)   ~ (all_14_14 = e13)
% 245.61/49.55    (23)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13, e14)
% 245.61/49.55            = e11) | (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 &
% 245.61/49.55            op1(e11, e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.61/49.55    (24)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.61/49.55            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.61/49.55            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.61/49.55    (25)   ~ (all_14_19 = e13)
% 245.61/49.55    (26)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.61/49.55              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.61/49.55            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.61/49.55    (27)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.61/49.55            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.61/49.55            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.61/49.55    (28)  op1(e10, e11) = all_14_19
% 245.61/49.55    (29)  op1(e10, e12) = all_14_14
% 245.61/49.55    (30)   ~ (e14 = e12)
% 245.61/49.55    (31)  all_25_17 = e13
% 245.61/49.55  
% 245.61/49.55  Begin of proof
% 245.61/49.55  | 
% 245.61/49.55  | BETA: splitting (23) gives:
% 245.61/49.55  | 
% 245.61/49.55  | Case 1:
% 245.61/49.55  | | 
% 245.61/49.55  | |   (32)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_2 = e11 & op1(e13,
% 245.61/49.55  | |             e14) = e11)
% 245.61/49.55  | | 
% 245.61/49.55  | | BETA: splitting (32) gives:
% 245.61/49.55  | | 
% 245.61/49.55  | | Case 1:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (33)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.61/49.55  | | | 
% 245.61/49.55  | | | ALPHA: (33) implies:
% 245.61/49.55  | | |   (34)  all_25_0 = e11
% 245.61/49.55  | | | 
% 245.61/49.55  | | | BETA: splitting (16) gives:
% 245.61/49.55  | | | 
% 245.61/49.55  | | | Case 1:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (35)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_2 = e14 &
% 245.61/49.55  | | | |           op1(e13, e14) = e14)
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | BETA: splitting (35) gives:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | Case 1:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (36)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (6), (34), (36) are inconsistent by sub-proof #1179.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | Case 2:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (37)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (12), (13), (17), (18),
% 245.61/49.55  | | | | |            (20), (24), (30), (37) are inconsistent by sub-proof #1185.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | End of split
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | Case 2:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (38)  (all_25_6 = e14 & op1(e12, e14) = e14) | (all_25_12 = e14 &
% 245.61/49.55  | | | |           op1(e11, e14) = e14) | (all_25_20 = e14 & op1(e10, e14) = e14)
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | BETA: splitting (38) gives:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | Case 1:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (39)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | REF_CLOSE: (9), (21), (39) are inconsistent by sub-proof #1184.
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | Case 2:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | |   (40)  (all_25_12 = e14 & op1(e11, e14) = e14) | (all_25_20 = e14 &
% 245.61/49.55  | | | | |           op1(e10, e14) = e14)
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | BETA: splitting (40) gives:
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | | Case 1:
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | |   (41)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | REF_CLOSE: (1), (14), (41) are inconsistent by sub-proof #1178.
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | Case 2:
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | |   (42)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | ALPHA: (42) implies:
% 245.61/49.55  | | | | | |   (43)  all_25_20 = e14
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13),
% 245.61/49.55  | | | | | |            (17), (18), (19), (22), (25), (26), (27), (28), (29),
% 245.61/49.55  | | | | | |            (30), (31), (43) are inconsistent by sub-proof #1182.
% 245.61/49.55  | | | | | | 
% 245.61/49.55  | | | | | End of split
% 245.61/49.55  | | | | | 
% 245.61/49.55  | | | | End of split
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | End of split
% 245.61/49.55  | | | 
% 245.61/49.55  | | Case 2:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (44)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.61/49.55  | | | 
% 245.61/49.55  | | | REF_CLOSE: (2), (5), (44) are inconsistent by sub-proof #1189.
% 245.61/49.55  | | | 
% 245.61/49.55  | | End of split
% 245.61/49.55  | | 
% 245.61/49.55  | Case 2:
% 245.61/49.55  | | 
% 245.61/49.55  | |   (45)  (all_25_6 = e11 & op1(e12, e14) = e11) | (all_25_12 = e11 & op1(e11,
% 245.61/49.55  | |             e14) = e11) | (all_25_20 = e11 & op1(e10, e14) = e11)
% 245.61/49.55  | | 
% 245.61/49.55  | | BETA: splitting (45) gives:
% 245.61/49.55  | | 
% 245.61/49.55  | | Case 1:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (46)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.61/49.55  | | | 
% 245.61/49.55  | | | REF_CLOSE: (12), (21), (46) are inconsistent by sub-proof #1188.
% 245.61/49.55  | | | 
% 245.61/49.55  | | Case 2:
% 245.61/49.55  | | | 
% 245.61/49.55  | | |   (47)  (all_25_12 = e11 & op1(e11, e14) = e11) | (all_25_20 = e11 &
% 245.61/49.55  | | |           op1(e10, e14) = e11)
% 245.61/49.55  | | | 
% 245.61/49.55  | | | BETA: splitting (47) gives:
% 245.61/49.55  | | | 
% 245.61/49.55  | | | Case 1:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (48)  all_25_12 = e11 & op1(e11, e14) = e11
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | ALPHA: (48) implies:
% 245.61/49.55  | | | |   (49)  all_25_12 = e11
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | REF_CLOSE: (14), (15), (49) are inconsistent by sub-proof #1177.
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | Case 2:
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | |   (50)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.61/49.55  | | | | 
% 245.61/49.55  | | | | ALPHA: (50) implies:
% 245.62/49.55  | | | |   (51)  all_25_20 = e11
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13),
% 245.62/49.55  | | | |            (17), (18), (19), (22), (25), (26), (27), (28), (29), (30),
% 245.62/49.55  | | | |            (31), (51) are inconsistent by sub-proof #1181.
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | End of split
% 245.62/49.55  | | | 
% 245.62/49.55  | | End of split
% 245.62/49.55  | | 
% 245.62/49.55  | End of split
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1177 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  all_25_12 = e11
% 245.62/49.55    (2)  all_25_12 = e10
% 245.62/49.55    (3)   ~ (e11 = e10)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (1), (2) imply:
% 245.62/49.55  |   (4)  e11 = e10
% 245.62/49.55  | 
% 245.62/49.55  | SIMP: (4) implies:
% 245.62/49.55  |   (5)  e11 = e10
% 245.62/49.55  | 
% 245.62/49.55  | REDUCE: (3), (5) imply:
% 245.62/49.55  |   (6)  $false
% 245.62/49.55  | 
% 245.62/49.55  | CLOSE: (6) is inconsistent.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1178 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.62/49.55    (2)  all_25_12 = e10
% 245.62/49.55    (3)   ~ (e14 = e10)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (1) implies:
% 245.62/49.55  |   (4)  all_25_12 = e14
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.55  |   (5)  e14 = e10
% 245.62/49.55  | 
% 245.62/49.55  | SIMP: (5) implies:
% 245.62/49.55  |   (6)  e14 = e10
% 245.62/49.55  | 
% 245.62/49.55  | REDUCE: (3), (6) imply:
% 245.62/49.55  |   (7)  $false
% 245.62/49.55  | 
% 245.62/49.55  | CLOSE: (7) is inconsistent.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1179 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.62/49.55    (2)  all_25_0 = e11
% 245.62/49.55    (3)   ~ (e14 = e11)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (1) implies:
% 245.62/49.55  |   (4)  all_25_0 = e14
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.55  |   (5)  e14 = e11
% 245.62/49.55  | 
% 245.62/49.55  | SIMP: (5) implies:
% 245.62/49.55  |   (6)  e14 = e11
% 245.62/49.55  | 
% 245.62/49.55  | REDUCE: (3), (6) imply:
% 245.62/49.55  |   (7)  $false
% 245.62/49.55  | 
% 245.62/49.55  | CLOSE: (7) is inconsistent.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1180 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)   ~ (e14 = e10)
% 245.62/49.55    (2)  all_25_2 = e12
% 245.62/49.55    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.55           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.55           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.55    (4)   ~ (e14 = e11)
% 245.62/49.55    (5)  all_25_3 = e11
% 245.62/49.55    (6)   ~ (e13 = e10)
% 245.62/49.55    (7)   ~ (e14 = e13)
% 245.62/49.55    (8)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.62/49.55    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.55           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.55    (10)   ~ (e13 = e11)
% 245.62/49.55    (11)  op1(e13, e12) = e10
% 245.62/49.55    (12)   ~ (e13 = e12)
% 245.62/49.55    (13)  op1(e13, e13) = e11
% 245.62/49.55    (14)  all_25_6 = e13
% 245.62/49.55    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.55            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.55            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.55    (16)   ~ (e14 = e12)
% 245.62/49.55    (17)  all_25_17 = e13
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (8) implies:
% 245.62/49.55  |   (18)  all_25_6 = e10
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (14), (18) imply:
% 245.62/49.55  |   (19)  e13 = e10
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (17), (19) imply:
% 245.62/49.55  |   (20)  all_25_17 = e10
% 245.62/49.55  | 
% 245.62/49.55  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 245.62/49.55  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1181 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)   ~ (e14 = e10)
% 245.62/49.55    (2)  all_25_2 = e12
% 245.62/49.55    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.55           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.55           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.55    (4)  all_25_24 = e10
% 245.62/49.55    (5)  all_25_20 = e11
% 245.62/49.55    (6)   ~ (e14 = e11)
% 245.62/49.55    (7)  all_25_3 = e11
% 245.62/49.55    (8)   ~ (e13 = e10)
% 245.62/49.55    (9)   ~ (e14 = e13)
% 245.62/49.55    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.55            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.55    (11)   ~ (e13 = e11)
% 245.62/49.55    (12)  op1(e13, e12) = e10
% 245.62/49.55    (13)   ~ (e13 = e12)
% 245.62/49.55    (14)  op1(e13, e13) = e11
% 245.62/49.55    (15)  op1(e10, e13) = e14
% 245.62/49.55    (16)   ~ (all_14_14 = e13)
% 245.62/49.55    (17)   ~ (all_14_19 = e13)
% 245.62/49.55    (18)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.62/49.55              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.62/49.55            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.55    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.55            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.55            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.55    (20)  op1(e10, e11) = all_14_19
% 245.62/49.55    (21)  op1(e10, e12) = all_14_14
% 245.62/49.55    (22)   ~ (e14 = e12)
% 245.62/49.55    (23)  all_25_17 = e13
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | BETA: splitting (18) gives:
% 245.62/49.55  | 
% 245.62/49.55  | Case 1:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (24)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 &
% 245.62/49.55  | |           op1(e10, e13) = e13)
% 245.62/49.55  | | 
% 245.62/49.55  | | BETA: splitting (24) gives:
% 245.62/49.55  | | 
% 245.62/49.55  | | Case 1:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (25)  all_25_20 = e13 & op1(e10, e14) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | ALPHA: (25) implies:
% 245.62/49.55  | | |   (26)  all_25_20 = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | COMBINE_EQS: (5), (26) imply:
% 245.62/49.55  | | |   (27)  e13 = e11
% 245.62/49.55  | | | 
% 245.62/49.55  | | | SIMP: (27) implies:
% 245.62/49.55  | | |   (28)  e13 = e11
% 245.62/49.55  | | | 
% 245.62/49.55  | | | REDUCE: (11), (28) imply:
% 245.62/49.55  | | |   (29)  $false
% 245.62/49.55  | | | 
% 245.62/49.55  | | | CLOSE: (29) is inconsistent.
% 245.62/49.55  | | | 
% 245.62/49.55  | | Case 2:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (30)  all_25_21 = e13 & op1(e10, e13) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | ALPHA: (30) implies:
% 245.62/49.55  | | |   (31)  op1(e10, e13) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | REF_CLOSE: (9), (10), (15), (31) are inconsistent by sub-proof #1274.
% 245.62/49.55  | | | 
% 245.62/49.55  | | End of split
% 245.62/49.55  | | 
% 245.62/49.55  | Case 2:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (32)  (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 = e13 &
% 245.62/49.55  | |           op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.55  | | 
% 245.62/49.55  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.62/49.55  | |            (14), (16), (17), (19), (20), (21), (22), (23), (32) are
% 245.62/49.55  | |            inconsistent by sub-proof #1252.
% 245.62/49.55  | | 
% 245.62/49.55  | End of split
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1182 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)   ~ (e14 = e10)
% 245.62/49.55    (2)  all_25_2 = e12
% 245.62/49.55    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.55           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.55           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.55    (4)  all_25_24 = e10
% 245.62/49.55    (5)  all_25_20 = e14
% 245.62/49.55    (6)   ~ (e14 = e11)
% 245.62/49.55    (7)  all_25_3 = e11
% 245.62/49.55    (8)   ~ (e13 = e10)
% 245.62/49.55    (9)   ~ (e14 = e13)
% 245.62/49.55    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.55            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.55    (11)   ~ (e13 = e11)
% 245.62/49.55    (12)  op1(e13, e12) = e10
% 245.62/49.55    (13)   ~ (e13 = e12)
% 245.62/49.55    (14)  op1(e13, e13) = e11
% 245.62/49.55    (15)  op1(e10, e13) = e14
% 245.62/49.55    (16)   ~ (all_14_14 = e13)
% 245.62/49.55    (17)   ~ (all_14_19 = e13)
% 245.62/49.55    (18)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.62/49.55              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.62/49.55            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.55    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.55            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.55            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.55    (20)  op1(e10, e11) = all_14_19
% 245.62/49.55    (21)  op1(e10, e12) = all_14_14
% 245.62/49.55    (22)   ~ (e14 = e12)
% 245.62/49.55    (23)  all_25_17 = e13
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | BETA: splitting (18) gives:
% 245.62/49.55  | 
% 245.62/49.55  | Case 1:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (24)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 &
% 245.62/49.55  | |           op1(e10, e13) = e13)
% 245.62/49.55  | | 
% 245.62/49.55  | | BETA: splitting (24) gives:
% 245.62/49.55  | | 
% 245.62/49.55  | | Case 1:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (25)  all_25_20 = e13 & op1(e10, e14) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | ALPHA: (25) implies:
% 245.62/49.55  | | |   (26)  all_25_20 = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | COMBINE_EQS: (5), (26) imply:
% 245.62/49.55  | | |   (27)  e14 = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | REDUCE: (9), (27) imply:
% 245.62/49.55  | | |   (28)  $false
% 245.62/49.55  | | | 
% 245.62/49.55  | | | CLOSE: (28) is inconsistent.
% 245.62/49.55  | | | 
% 245.62/49.55  | | Case 2:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (29)  all_25_21 = e13 & op1(e10, e13) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | ALPHA: (29) implies:
% 245.62/49.55  | | |   (30)  op1(e10, e13) = e13
% 245.62/49.55  | | | 
% 245.62/49.55  | | | REF_CLOSE: (9), (10), (15), (30) are inconsistent by sub-proof #1274.
% 245.62/49.55  | | | 
% 245.62/49.55  | | End of split
% 245.62/49.55  | | 
% 245.62/49.55  | Case 2:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (31)  (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 = e13 &
% 245.62/49.55  | |           op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.55  | | 
% 245.62/49.55  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.62/49.55  | |            (14), (16), (17), (19), (20), (21), (22), (23), (31) are
% 245.62/49.55  | |            inconsistent by sub-proof #1252.
% 245.62/49.55  | | 
% 245.62/49.55  | End of split
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1183 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  all_25_12 = e14 & op1(e11, e14) = e14
% 245.62/49.55    (2)  all_25_12 = e11
% 245.62/49.55    (3)   ~ (e14 = e11)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (1) implies:
% 245.62/49.55  |   (4)  all_25_12 = e14
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.55  |   (5)  e14 = e11
% 245.62/49.55  | 
% 245.62/49.55  | SIMP: (5) implies:
% 245.62/49.55  |   (6)  e14 = e11
% 245.62/49.55  | 
% 245.62/49.55  | REDUCE: (3), (6) imply:
% 245.62/49.55  |   (7)  $false
% 245.62/49.55  | 
% 245.62/49.55  | CLOSE: (7) is inconsistent.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1184 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  all_25_6 = e14 & op1(e12, e14) = e14
% 245.62/49.55    (2)  all_25_6 = e13
% 245.62/49.55    (3)   ~ (e14 = e13)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (1) implies:
% 245.62/49.55  |   (4)  all_25_6 = e14
% 245.62/49.55  | 
% 245.62/49.55  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.55  |   (5)  e14 = e13
% 245.62/49.55  | 
% 245.62/49.55  | SIMP: (5) implies:
% 245.62/49.55  |   (6)  e14 = e13
% 245.62/49.55  | 
% 245.62/49.55  | REDUCE: (3), (6) imply:
% 245.62/49.55  |   (7)  $false
% 245.62/49.55  | 
% 245.62/49.55  | CLOSE: (7) is inconsistent.
% 245.62/49.55  | 
% 245.62/49.55  End of proof
% 245.62/49.55  
% 245.62/49.55  Sub-proof #1185 shows that the following formulas are inconsistent:
% 245.62/49.55  ----------------------------------------------------------------
% 245.62/49.55    (1)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.55           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.55           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.55    (2)   ~ (e12 = e11)
% 245.62/49.55    (3)   ~ (e13 = e10)
% 245.62/49.55    (4)   ~ (e14 = e13)
% 245.62/49.55    (5)  op1(e13, e11) = e14
% 245.62/49.55    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.55           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.55    (7)   ~ (e13 = e11)
% 245.62/49.55    (8)  op1(e13, e12) = e10
% 245.62/49.55    (9)   ~ (e13 = e12)
% 245.62/49.55    (10)  op1(e13, e13) = e11
% 245.62/49.55    (11)   ~ (e12 = e10)
% 245.62/49.55    (12)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.55            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.55            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.55    (13)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.62/49.55    (14)   ~ (e14 = e12)
% 245.62/49.55  
% 245.62/49.55  Begin of proof
% 245.62/49.55  | 
% 245.62/49.55  | ALPHA: (13) implies:
% 245.62/49.55  |   (15)  all_25_2 = e14
% 245.62/49.55  | 
% 245.62/49.55  | BETA: splitting (12) gives:
% 245.62/49.55  | 
% 245.62/49.55  | Case 1:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (16)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13,
% 245.62/49.55  | |             e13) = e12)
% 245.62/49.55  | | 
% 245.62/49.55  | | REF_CLOSE: (2), (6), (10), (14), (15), (16) are inconsistent by sub-proof
% 245.62/49.55  | |            #1187.
% 245.62/49.55  | | 
% 245.62/49.55  | Case 2:
% 245.62/49.55  | | 
% 245.62/49.55  | |   (17)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 & op1(e13,
% 245.62/49.55  | |             e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.55  | | 
% 245.62/49.55  | | BETA: splitting (17) gives:
% 245.62/49.55  | | 
% 245.62/49.55  | | Case 1:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (18)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.62/49.55  | | | 
% 245.62/49.55  | | | REF_CLOSE: (6), (8), (11), (18) are inconsistent by sub-proof #1337.
% 245.62/49.55  | | | 
% 245.62/49.55  | | Case 2:
% 245.62/49.55  | | | 
% 245.62/49.55  | | |   (19)  (all_25_10 = e12 & op1(e13, e11) = e12) | (all_25_17 = e12 &
% 245.62/49.55  | | |           op1(e13, e10) = e12)
% 245.62/49.55  | | | 
% 245.62/49.55  | | | BETA: splitting (19) gives:
% 245.62/49.55  | | | 
% 245.62/49.55  | | | Case 1:
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | |   (20)  all_25_10 = e12 & op1(e13, e11) = e12
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | | ALPHA: (20) implies:
% 245.62/49.55  | | | |   (21)  op1(e13, e11) = e12
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | | REF_CLOSE: (5), (6), (14), (21) are inconsistent by sub-proof #1336.
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | Case 2:
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | |   (22)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.62/49.55  | | | | 
% 245.62/49.55  | | | | ALPHA: (22) implies:
% 245.62/49.56  | | | |   (23)  all_25_17 = e12
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | BETA: splitting (1) gives:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | Case 1:
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | |   (24)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 &
% 245.62/49.56  | | | | |           op1(e13, e13) = e13)
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | REF_CLOSE: (4), (6), (7), (10), (15), (24) are inconsistent by
% 245.62/49.56  | | | | |            sub-proof #1186.
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | Case 2:
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | |   (25)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56  | | | | |           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) =
% 245.62/49.56  | | | | |           e13)
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | BETA: splitting (25) gives:
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | Case 1:
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | |   (26)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | | ALPHA: (26) implies:
% 245.62/49.56  | | | | | |   (27)  op1(e13, e12) = e13
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | | REF_CLOSE: (3), (6), (8), (27) are inconsistent by sub-proof #1334.
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | Case 2:
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | |   (28)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.62/49.56  | | | | | |           op1(e13, e10) = e13)
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | | BETA: splitting (28) gives:
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | | Case 1:
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | |   (29)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | | ALPHA: (29) implies:
% 245.62/49.56  | | | | | | |   (30)  op1(e13, e11) = e13
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | | GROUND_INST: instantiating (6) with e14, e13, e11, e13,
% 245.62/49.56  | | | | | | |              simplifying with (5), (30) gives:
% 245.62/49.56  | | | | | | |   (31)  e14 = e13
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | | REDUCE: (4), (31) imply:
% 245.62/49.56  | | | | | | |   (32)  $false
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | | CLOSE: (32) is inconsistent.
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | Case 2:
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | |   (33)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | | REF_CLOSE: (9), (23), (33) are inconsistent by sub-proof #1282.
% 245.62/49.56  | | | | | | | 
% 245.62/49.56  | | | | | | End of split
% 245.62/49.56  | | | | | | 
% 245.62/49.56  | | | | | End of split
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | End of split
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | End of split
% 245.62/49.56  | | | 
% 245.62/49.56  | | End of split
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1186 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13)
% 245.62/49.56    (2)   ~ (e14 = e13)
% 245.62/49.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (4)   ~ (e13 = e11)
% 245.62/49.56    (5)  op1(e13, e13) = e11
% 245.62/49.56    (6)  all_25_2 = e14
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (1) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (7)  all_25_2 = e13 & op1(e13, e14) = e13
% 245.62/49.56  | | 
% 245.62/49.56  | | ALPHA: (7) implies:
% 245.62/49.56  | |   (8)  all_25_2 = e13
% 245.62/49.56  | | 
% 245.62/49.56  | | COMBINE_EQS: (6), (8) imply:
% 245.62/49.56  | |   (9)  e14 = e13
% 245.62/49.56  | | 
% 245.62/49.56  | | REDUCE: (2), (9) imply:
% 245.62/49.56  | |   (10)  $false
% 245.62/49.56  | | 
% 245.62/49.56  | | CLOSE: (10) is inconsistent.
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (11)  all_25_3 = e13 & op1(e13, e13) = e13
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (3), (4), (5), (11) are inconsistent by sub-proof #1335.
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1187 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)   ~ (e12 = e11)
% 245.62/49.56    (2)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.56           = e12)
% 245.62/49.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (4)  op1(e13, e13) = e11
% 245.62/49.56    (5)  all_25_2 = e14
% 245.62/49.56    (6)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (2) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (7)  all_25_2 = e12 & op1(e13, e14) = e12
% 245.62/49.56  | | 
% 245.62/49.56  | | ALPHA: (7) implies:
% 245.62/49.56  | |   (8)  all_25_2 = e12
% 245.62/49.56  | | 
% 245.62/49.56  | | COMBINE_EQS: (5), (8) imply:
% 245.62/49.56  | |   (9)  e14 = e12
% 245.62/49.56  | | 
% 245.62/49.56  | | REDUCE: (6), (9) imply:
% 245.62/49.56  | |   (10)  $false
% 245.62/49.56  | | 
% 245.62/49.56  | | CLOSE: (10) is inconsistent.
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (11)  all_25_3 = e12 & op1(e13, e13) = e12
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (1), (3), (4), (11) are inconsistent by sub-proof #1338.
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1188 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  all_25_6 = e11 & op1(e12, e14) = e11
% 245.62/49.56    (2)  all_25_6 = e13
% 245.62/49.56    (3)   ~ (e13 = e11)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (1) implies:
% 245.62/49.56  |   (4)  all_25_6 = e11
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.56  |   (5)  e13 = e11
% 245.62/49.56  | 
% 245.62/49.56  | REDUCE: (3), (5) imply:
% 245.62/49.56  |   (6)  $false
% 245.62/49.56  | 
% 245.62/49.56  | CLOSE: (6) is inconsistent.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1189 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.62/49.56    (2)  all_25_2 = e12
% 245.62/49.56    (3)   ~ (e12 = e11)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (1) implies:
% 245.62/49.56  |   (4)  all_25_2 = e11
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.56  |   (5)  e12 = e11
% 245.62/49.56  | 
% 245.62/49.56  | REDUCE: (3), (5) imply:
% 245.62/49.56  |   (6)  $false
% 245.62/49.56  | 
% 245.62/49.56  | CLOSE: (6) is inconsistent.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1190 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.62/49.56    (2)  all_25_20 = e12
% 245.62/49.56    (3)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (1) implies:
% 245.62/49.56  |   (4)  all_25_20 = e14
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.56  |   (5)  e14 = e12
% 245.62/49.56  | 
% 245.62/49.56  | REDUCE: (3), (5) imply:
% 245.62/49.56  |   (6)  $false
% 245.62/49.56  | 
% 245.62/49.56  | CLOSE: (6) is inconsistent.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1191 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)   ~ (e14 = e10)
% 245.62/49.56    (2)  all_25_2 = e12
% 245.62/49.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.56    (4)  all_25_1 = e12
% 245.62/49.56    (5)  all_25_4 = e13
% 245.62/49.56    (6)   ~ (all_14_12 = e13)
% 245.62/49.56    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.56    (8)  all_25_13 = e12 & op1(e11, e13) = e12
% 245.62/49.56    (9)   ~ (e12 = e11)
% 245.62/49.56    (10)   ~ (e14 = e11)
% 245.62/49.56    (11)  all_25_3 = e11
% 245.62/49.56    (12)  op1(e10, e13) = e13
% 245.62/49.56    (13)   ~ (e13 = e10)
% 245.62/49.56    (14)  op1(e11, e12) = all_14_13
% 245.62/49.56    (15)   ~ (e14 = e13)
% 245.62/49.56    (16)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.56            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.56            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.56    (17)  all_25_21 = e13
% 245.62/49.56    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (19)   ~ (e13 = e11)
% 245.62/49.56    (20)  op1(e13, e12) = e10
% 245.62/49.56    (21)   ~ (e11 = e10)
% 245.62/49.56    (22)   ~ (e13 = e12)
% 245.62/49.56    (23)  op1(e13, e13) = e11
% 245.62/49.56    (24)   ~ (all_14_13 = e13)
% 245.62/49.56    (25)   ~ (e12 = e10)
% 245.62/49.56    (26)   ~ (all_14_14 = e13)
% 245.62/49.56    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.56    (28)  op1(e12, e12) = all_14_12
% 245.62/49.56    (29)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.62/49.56            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.62/49.56            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.56    (30)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.56    (31)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.56            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.56    (32)  op1(e10, e12) = all_14_14
% 245.62/49.56    (33)   ~ (e14 = e12)
% 245.62/49.56    (34)  all_25_17 = e13
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (8) implies:
% 245.62/49.56  |   (35)  all_25_13 = e12
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (29) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (36)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.62/49.56  | |             e13) = e10)
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (13), (15), (18), (19), (20),
% 245.62/49.56  | |            (21), (22), (23), (25), (27), (30), (33), (36) are inconsistent
% 245.62/49.56  | |            by sub-proof #1279.
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (37)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.62/49.56  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.56  | | 
% 245.62/49.56  | | BETA: splitting (37) gives:
% 245.62/49.56  | | 
% 245.62/49.56  | | Case 1:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (38)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.62/49.56  | | | 
% 245.62/49.56  | | | ALPHA: (38) implies:
% 245.62/49.56  | | |   (39)  all_25_7 = e10
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (1), (4), (10), (11), (12), (15), (18), (31), (33), (35), (39)
% 245.62/49.56  | | |            are inconsistent by sub-proof #1194.
% 245.62/49.56  | | | 
% 245.62/49.56  | | Case 2:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (40)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.62/49.56  | | |           op1(e10, e13) = e10)
% 245.62/49.56  | | | 
% 245.62/49.56  | | | BETA: splitting (40) gives:
% 245.62/49.56  | | | 
% 245.62/49.56  | | | Case 1:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | |   (41)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (13), (15), (18), (19), (20),
% 245.62/49.56  | | | |            (21), (22), (23), (25), (27), (30), (33), (35), (41) are
% 245.62/49.56  | | | |            inconsistent by sub-proof #1193.
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | Case 2:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | |   (42)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (10), (11), (13), (14), (15), (16),
% 245.62/49.56  | | | |            (17), (18), (19), (20), (22), (23), (24), (26), (28), (30),
% 245.62/49.56  | | | |            (32), (33), (34), (42) are inconsistent by sub-proof #1192.
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | End of split
% 245.62/49.56  | | | 
% 245.62/49.56  | | End of split
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1192 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)   ~ (e14 = e10)
% 245.62/49.56    (2)  all_25_2 = e12
% 245.62/49.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.56    (4)  all_25_4 = e13
% 245.62/49.56    (5)   ~ (all_14_12 = e13)
% 245.62/49.56    (6)   ~ (e14 = e11)
% 245.62/49.56    (7)  all_25_3 = e11
% 245.62/49.56    (8)   ~ (e13 = e10)
% 245.62/49.56    (9)  op1(e11, e12) = all_14_13
% 245.62/49.56    (10)   ~ (e14 = e13)
% 245.62/49.56    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.56            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.56            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.56    (12)  all_25_21 = e13
% 245.62/49.56    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (14)   ~ (e13 = e11)
% 245.62/49.56    (15)  op1(e13, e12) = e10
% 245.62/49.56    (16)   ~ (e13 = e12)
% 245.62/49.56    (17)  op1(e13, e13) = e11
% 245.62/49.56    (18)   ~ (all_14_13 = e13)
% 245.62/49.56    (19)   ~ (all_14_14 = e13)
% 245.62/49.56    (20)  op1(e12, e12) = all_14_12
% 245.62/49.56    (21)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.62/49.56    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.56    (23)  op1(e10, e12) = all_14_14
% 245.62/49.56    (24)   ~ (e14 = e12)
% 245.62/49.56    (25)  all_25_17 = e13
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (21) implies:
% 245.62/49.56  |   (26)  all_25_21 = e10
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (12), (26) imply:
% 245.62/49.56  |   (27)  e13 = e10
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (4), (27) imply:
% 245.62/49.56  |   (28)  all_25_4 = e10
% 245.62/49.56  | 
% 245.62/49.56  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 245.62/49.56  |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (25), (28)
% 245.62/49.56  |            are inconsistent by sub-proof #1242.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1193 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)   ~ (e14 = e10)
% 245.62/49.56    (2)  all_25_2 = e12
% 245.62/49.56    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.56    (4)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.56    (5)   ~ (e12 = e11)
% 245.62/49.56    (6)  all_25_13 = e12
% 245.62/49.56    (7)   ~ (e14 = e11)
% 245.62/49.56    (8)   ~ (e13 = e10)
% 245.62/49.56    (9)   ~ (e14 = e13)
% 245.62/49.56    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (11)   ~ (e13 = e11)
% 245.62/49.56    (12)  op1(e13, e12) = e10
% 245.62/49.56    (13)   ~ (e11 = e10)
% 245.62/49.56    (14)   ~ (e13 = e12)
% 245.62/49.56    (15)  op1(e13, e13) = e11
% 245.62/49.56    (16)   ~ (e12 = e10)
% 245.62/49.56    (17)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.62/49.56    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.56    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.56    (20)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (17) implies:
% 245.62/49.56  |   (21)  all_25_13 = e10
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (6), (21) imply:
% 245.62/49.56  |   (22)  e12 = e10
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (2), (22) imply:
% 245.62/49.56  |   (23)  all_25_2 = e10
% 245.62/49.56  | 
% 245.62/49.56  | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.62/49.56  |            (15), (16), (18), (19), (20), (23) are inconsistent by sub-proof
% 245.62/49.56  |            #1281.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1194 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)   ~ (e14 = e10)
% 245.62/49.56    (2)  all_25_1 = e12
% 245.62/49.56    (3)  all_25_13 = e12
% 245.62/49.56    (4)   ~ (e14 = e11)
% 245.62/49.56    (5)  all_25_3 = e11
% 245.62/49.56    (6)  op1(e10, e13) = e13
% 245.62/49.56    (7)   ~ (e14 = e13)
% 245.62/49.56    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (9)  all_25_7 = e10
% 245.62/49.56    (10)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.56            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.56    (11)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (10) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.62/49.56  | |             e13) = e14)
% 245.62/49.56  | | 
% 245.62/49.56  | | BETA: splitting (12) gives:
% 245.62/49.56  | | 
% 245.62/49.56  | | Case 1:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (13)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (2), (11), (13) are inconsistent by sub-proof #1292.
% 245.62/49.56  | | | 
% 245.62/49.56  | | Case 2:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (14)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (4), (5), (14) are inconsistent by sub-proof #1291.
% 245.62/49.56  | | | 
% 245.62/49.56  | | End of split
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (15)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.62/49.56  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.56  | | 
% 245.62/49.56  | | BETA: splitting (15) gives:
% 245.62/49.56  | | 
% 245.62/49.56  | | Case 1:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (16)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | ALPHA: (16) implies:
% 245.62/49.56  | | |   (17)  all_25_7 = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (1), (9), (17) are inconsistent by sub-proof #1251.
% 245.62/49.56  | | | 
% 245.62/49.56  | | Case 2:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (18)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.62/49.56  | | |           op1(e10, e13) = e14)
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (3), (6), (7), (8), (11), (18) are inconsistent by sub-proof
% 245.62/49.56  | | |            #1195.
% 245.62/49.56  | | | 
% 245.62/49.56  | | End of split
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1195 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  all_25_13 = e12
% 245.62/49.56    (2)  op1(e10, e13) = e13
% 245.62/49.56    (3)   ~ (e14 = e13)
% 245.62/49.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (5)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.56             e13) = e14)
% 245.62/49.56    (6)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (5) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (7)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #1196.
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (8)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.56  | | 
% 245.62/49.56  | | ALPHA: (8) implies:
% 245.62/49.56  | |   (9)  op1(e10, e13) = e14
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1274.
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1196 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.62/49.56    (2)  all_25_13 = e12
% 245.62/49.56    (3)   ~ (e14 = e12)
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | ALPHA: (1) implies:
% 245.62/49.56  |   (4)  all_25_13 = e14
% 245.62/49.56  | 
% 245.62/49.56  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.56  |   (5)  e14 = e12
% 245.62/49.56  | 
% 245.62/49.56  | SIMP: (5) implies:
% 245.62/49.56  |   (6)  e14 = e12
% 245.62/49.56  | 
% 245.62/49.56  | REDUCE: (3), (6) imply:
% 245.62/49.56  |   (7)  $false
% 245.62/49.56  | 
% 245.62/49.56  | CLOSE: (7) is inconsistent.
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1197 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.62/49.56             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.62/49.56           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.56    (2)   ~ (e14 = e10)
% 245.62/49.56    (3)  op1(e10, e13) = all_14_9
% 245.62/49.56    (4)  all_25_2 = e12
% 245.62/49.56    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.56    (6)  all_25_24 = e10
% 245.62/49.56    (7)  all_25_4 = e13
% 245.62/49.56    (8)   ~ (all_14_12 = e13)
% 245.62/49.56    (9)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.56    (10)   ~ (e12 = e11)
% 245.62/49.56    (11)   ~ (e14 = e11)
% 245.62/49.56    (12)  all_25_3 = e11
% 245.62/49.56    (13)  op1(e10, e13) = e13
% 245.62/49.56    (14)   ~ (e13 = e10)
% 245.62/49.56    (15)  op1(e11, e12) = all_14_13
% 245.62/49.56    (16)   ~ (e14 = e13)
% 245.62/49.56    (17)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.56            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.56            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.56    (18)  op1(e13, unit1) = e13
% 245.62/49.56    (19)  all_25_21 = e13
% 245.62/49.56    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (21)   ~ (e13 = e11)
% 245.62/49.56    (22)  all_25_20 = e10
% 245.62/49.56    (23)  op1(e13, e12) = e10
% 245.62/49.56    (24)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.62/49.56              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.62/49.56            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.62/49.56    (25)   ~ (e11 = e10)
% 245.62/49.56    (26)   ~ (e13 = e12)
% 245.62/49.56    (27)  op1(e13, e13) = e11
% 245.62/49.56    (28)   ~ (all_14_13 = e13)
% 245.62/49.56    (29)   ~ (e12 = e10)
% 245.62/49.56    (30)   ~ (all_14_9 = e12)
% 245.62/49.56    (31)   ~ (all_14_19 = e14)
% 245.62/49.56    (32)   ~ (all_14_14 = e13)
% 245.62/49.56    (33)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.56    (34)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.56              e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.62/49.56            e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.62/49.56    (35)   ~ (all_14_19 = e13)
% 245.62/49.56    (36)  op1(e12, e12) = all_14_12
% 245.62/49.56    (37)  op1(e10, unit1) = e10
% 245.62/49.56    (38)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.56    (39)  op1(unit1, e14) = e14
% 245.62/49.56    (40)  op1(e14, e12) = all_14_10
% 245.62/49.56    (41)   ~ (all_14_10 = e12)
% 245.62/49.56    (42)   ~ (all_14_19 = e10)
% 245.62/49.56    (43)  op1(unit1, e12) = e12
% 245.62/49.56    (44)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.62/49.56              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.62/49.56            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.56    (45)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.56            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.56            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.56    (46)  op1(e10, e11) = all_14_19
% 245.62/49.56    (47)  op1(e10, e12) = all_14_14
% 245.62/49.56    (48)  op1(e13, e14) = e12
% 245.62/49.56    (49)   ~ (e14 = e12)
% 245.62/49.56    (50)  all_25_17 = e13
% 245.62/49.56  
% 245.62/49.56  Begin of proof
% 245.62/49.56  | 
% 245.62/49.56  | BETA: splitting (34) gives:
% 245.62/49.56  | 
% 245.62/49.56  | Case 1:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (51)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 245.62/49.56  | |           op1(e10, e13) = e14)
% 245.62/49.56  | | 
% 245.62/49.56  | | REF_CLOSE: (2), (4), (5), (6), (11), (12), (14), (16), (20), (21), (22),
% 245.62/49.56  | |            (23), (26), (27), (32), (35), (44), (45), (46), (47), (49), (50),
% 245.62/49.56  | |            (51) are inconsistent by sub-proof #1212.
% 245.62/49.56  | | 
% 245.62/49.56  | Case 2:
% 245.62/49.56  | | 
% 245.62/49.56  | |   (52)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 245.62/49.56  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.62/49.56  | | 
% 245.62/49.56  | | BETA: splitting (52) gives:
% 245.62/49.56  | | 
% 245.62/49.56  | | Case 1:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (53)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | ALPHA: (53) implies:
% 245.62/49.56  | | |   (54)  op1(e10, e12) = e14
% 245.62/49.56  | | | 
% 245.62/49.56  | | | BETA: splitting (24) gives:
% 245.62/49.56  | | | 
% 245.62/49.56  | | | Case 1:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | |   (55)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 245.62/49.56  | | | |           op1(e10, e13) = e12)
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (11), (14), (16), (20), (21),
% 245.62/49.56  | | | |            (22), (23), (25), (26), (27), (29), (30), (33), (45), (49),
% 245.62/49.56  | | | |            (55) are inconsistent by sub-proof #1211.
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | Case 2:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | |   (56)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 245.62/49.56  | | | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | BETA: splitting (56) gives:
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | | Case 1:
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | |   (57)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | ALPHA: (57) implies:
% 245.62/49.56  | | | | |   (58)  all_25_22 = e12
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | REF_CLOSE: (2), (6), (13), (16), (20), (22), (31), (34), (46), (49),
% 245.62/49.56  | | | | |            (58) are inconsistent by sub-proof #1205.
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | Case 2:
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | |   (59)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 245.62/49.56  | | | | |           op1(e10, e10) = e12)
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 245.62/49.56  | | | | |            (15), (16), (17), (18), (19), (20), (21), (23), (25), (26),
% 245.62/49.56  | | | | |            (27), (28), (29), (32), (33), (36), (37), (38), (39), (40),
% 245.62/49.56  | | | | |            (41), (42), (43), (45), (46), (47), (48), (49), (54), (59)
% 245.62/49.56  | | | | |            are inconsistent by sub-proof #1198.
% 245.62/49.56  | | | | | 
% 245.62/49.56  | | | | End of split
% 245.62/49.56  | | | | 
% 245.62/49.56  | | | End of split
% 245.62/49.56  | | | 
% 245.62/49.56  | | Case 2:
% 245.62/49.56  | | | 
% 245.62/49.56  | | |   (60)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 245.62/49.56  | | |           op1(e10, e10) = e14)
% 245.62/49.56  | | | 
% 245.62/49.56  | | | REF_CLOSE: (2), (6), (20), (31), (46), (60) are inconsistent by sub-proof
% 245.62/49.56  | | |            #1207.
% 245.62/49.56  | | | 
% 245.62/49.56  | | End of split
% 245.62/49.56  | | 
% 245.62/49.56  | End of split
% 245.62/49.56  | 
% 245.62/49.56  End of proof
% 245.62/49.56  
% 245.62/49.56  Sub-proof #1198 shows that the following formulas are inconsistent:
% 245.62/49.56  ----------------------------------------------------------------
% 245.62/49.56    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.62/49.56             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.62/49.56           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.56    (2)   ~ (e14 = e10)
% 245.62/49.56    (3)  all_25_2 = e12
% 245.62/49.56    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.56           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.56           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.56    (5)  all_25_24 = e10
% 245.62/49.56    (6)  all_25_4 = e13
% 245.62/49.56    (7)   ~ (all_14_12 = e13)
% 245.62/49.56    (8)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.56           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.56           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.56    (9)   ~ (e12 = e11)
% 245.62/49.56    (10)   ~ (e14 = e11)
% 245.62/49.56    (11)   ~ (e13 = e10)
% 245.62/49.56    (12)  op1(e11, e12) = all_14_13
% 245.62/49.56    (13)  op1(e10, e12) = e14
% 245.62/49.56    (14)   ~ (e14 = e13)
% 245.62/49.56    (15)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.56            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.56            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.56    (16)  op1(e13, unit1) = e13
% 245.62/49.56    (17)  all_25_21 = e13
% 245.62/49.56    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.56            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.56    (19)   ~ (e13 = e11)
% 245.62/49.56    (20)  op1(e13, e12) = e10
% 245.62/49.56    (21)   ~ (e11 = e10)
% 245.62/49.56    (22)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10,
% 245.62/49.56              e10) = e12)
% 245.62/49.56    (23)   ~ (e13 = e12)
% 245.62/49.56    (24)  op1(e13, e13) = e11
% 245.62/49.56    (25)   ~ (all_14_13 = e13)
% 245.62/49.56    (26)   ~ (e12 = e10)
% 245.62/49.56    (27)   ~ (all_14_14 = e13)
% 245.62/49.56    (28)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.56            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.56            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.56    (29)  op1(e12, e12) = all_14_12
% 245.62/49.56    (30)  op1(e10, unit1) = e10
% 245.62/49.56    (31)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.56    (32)  op1(unit1, e14) = e14
% 245.62/49.56    (33)  op1(e14, e12) = all_14_10
% 245.62/49.56    (34)   ~ (all_14_10 = e12)
% 245.62/49.56    (35)   ~ (all_14_19 = e10)
% 245.62/49.57    (36)  op1(unit1, e12) = e12
% 245.62/49.57    (37)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.57    (38)  op1(e10, e11) = all_14_19
% 245.62/49.57    (39)  op1(e10, e12) = all_14_14
% 245.62/49.57    (40)  op1(e13, e14) = e12
% 245.62/49.57    (41)   ~ (e14 = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (22) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (42)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (42) implies:
% 245.62/49.57  | |   (43)  all_25_23 = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (5), (6), (7), (9), (11), (12), (13), (15), (16), (17),
% 245.62/49.57  | |            (18), (19), (20), (21), (23), (25), (27), (29), (30), (31), (32),
% 245.62/49.57  | |            (33), (34), (35), (36), (38), (39), (40), (43) are inconsistent
% 245.62/49.57  | |            by sub-proof #1199.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (44)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (14), (18), (19), (20),
% 245.62/49.57  | |            (21), (23), (24), (26), (28), (37), (41), (44) are inconsistent
% 245.62/49.57  | |            by sub-proof #1261.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1199 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.62/49.57             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.62/49.57           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.57    (2)  all_25_24 = e10
% 245.62/49.57    (3)  all_25_4 = e13
% 245.62/49.57    (4)   ~ (all_14_12 = e13)
% 245.62/49.57    (5)   ~ (e12 = e11)
% 245.62/49.57    (6)   ~ (e13 = e10)
% 245.62/49.57    (7)  op1(e11, e12) = all_14_13
% 245.62/49.57    (8)  op1(e10, e12) = e14
% 245.62/49.57    (9)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.57           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.57           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.57    (10)  op1(e13, unit1) = e13
% 245.62/49.57    (11)  all_25_21 = e13
% 245.62/49.57    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (13)   ~ (e13 = e11)
% 245.62/49.57    (14)  op1(e13, e12) = e10
% 245.62/49.57    (15)   ~ (e11 = e10)
% 245.62/49.57    (16)   ~ (e13 = e12)
% 245.62/49.57    (17)   ~ (all_14_13 = e13)
% 245.62/49.57    (18)   ~ (all_14_14 = e13)
% 245.62/49.57    (19)  op1(e12, e12) = all_14_12
% 245.62/49.57    (20)  op1(e10, unit1) = e10
% 245.62/49.57    (21)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.57    (22)  op1(unit1, e14) = e14
% 245.62/49.57    (23)  op1(e14, e12) = all_14_10
% 245.62/49.57    (24)   ~ (all_14_10 = e12)
% 245.62/49.57    (25)   ~ (all_14_19 = e10)
% 245.62/49.57    (26)  op1(unit1, e12) = e12
% 245.62/49.57    (27)  op1(e10, e11) = all_14_19
% 245.62/49.57    (28)  op1(e10, e12) = all_14_14
% 245.62/49.57    (29)  op1(e13, e14) = e12
% 245.62/49.57    (30)  all_25_23 = e12
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (1) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (31)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.62/49.57  | |           op1(e10, e13) = e11)
% 245.62/49.57  | | 
% 245.62/49.57  | | BETA: splitting (31) gives:
% 245.62/49.57  | | 
% 245.62/49.57  | | Case 1:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (32)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | ALPHA: (32) implies:
% 245.62/49.57  | | |   (33)  op1(e10, e14) = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (5), (6), (8), (10), (12), (14), (16), (20), (21), (22), (25),
% 245.62/49.57  | | |            (26), (27), (29), (33) are inconsistent by sub-proof #1203.
% 245.62/49.57  | | | 
% 245.62/49.57  | | Case 2:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (34)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (3), (4), (6), (7), (9), (11), (12), (13), (14), (17), (18),
% 245.62/49.57  | | |            (19), (28), (34) are inconsistent by sub-proof #1202.
% 245.62/49.57  | | | 
% 245.62/49.57  | | End of split
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (35)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.62/49.57  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (5), (6), (10), (12), (14), (15), (20), (21), (23), (24),
% 245.62/49.57  | |            (25), (26), (27), (30), (35) are inconsistent by sub-proof #1200.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1200 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_24 = e10
% 245.62/49.57    (2)   ~ (e12 = e11)
% 245.62/49.57    (3)   ~ (e13 = e10)
% 245.62/49.57    (4)  op1(e13, unit1) = e13
% 245.62/49.57    (5)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 & op1(e10,
% 245.62/49.57             e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (7)  op1(e13, e12) = e10
% 245.62/49.57    (8)   ~ (e11 = e10)
% 245.62/49.57    (9)  op1(e10, unit1) = e10
% 245.62/49.57    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.57    (11)  op1(e14, e12) = all_14_10
% 245.62/49.57    (12)   ~ (all_14_10 = e12)
% 245.62/49.57    (13)   ~ (all_14_19 = e10)
% 245.62/49.57    (14)  op1(unit1, e12) = e12
% 245.62/49.57    (15)  op1(e10, e11) = all_14_19
% 245.62/49.57    (16)  all_25_23 = e12
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (5) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (17)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 245.62/49.57  | |            (17) are inconsistent by sub-proof #1266.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (18)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 245.62/49.57  | |           op1(e10, e10) = e11)
% 245.62/49.57  | | 
% 245.62/49.57  | | BETA: splitting (18) gives:
% 245.62/49.57  | | 
% 245.62/49.57  | | Case 1:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (19)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | ALPHA: (19) implies:
% 245.62/49.57  | | |   (20)  all_25_23 = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (2), (16), (20) are inconsistent by sub-proof #1262.
% 245.62/49.57  | | | 
% 245.62/49.57  | | Case 2:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (21)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (1), (8), (21) are inconsistent by sub-proof #1201.
% 245.62/49.57  | | | 
% 245.62/49.57  | | End of split
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1201 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.62/49.57    (2)  all_25_24 = e10
% 245.62/49.57    (3)   ~ (e11 = e10)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | ALPHA: (1) implies:
% 245.62/49.57  |   (4)  all_25_24 = e11
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.57  |   (5)  e11 = e10
% 245.62/49.57  | 
% 245.62/49.57  | REDUCE: (3), (5) imply:
% 245.62/49.57  |   (6)  $false
% 245.62/49.57  | 
% 245.62/49.57  | CLOSE: (6) is inconsistent.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1202 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_4 = e13
% 245.62/49.57    (2)   ~ (all_14_12 = e13)
% 245.62/49.57    (3)   ~ (e13 = e10)
% 245.62/49.57    (4)  op1(e11, e12) = all_14_13
% 245.62/49.57    (5)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.57           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.57           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.57    (6)  all_25_21 = e13
% 245.62/49.57    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (8)   ~ (e13 = e11)
% 245.62/49.57    (9)  op1(e13, e12) = e10
% 245.62/49.57    (10)   ~ (all_14_13 = e13)
% 245.62/49.57    (11)   ~ (all_14_14 = e13)
% 245.62/49.57    (12)  op1(e12, e12) = all_14_12
% 245.62/49.57    (13)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.62/49.57    (14)  op1(e10, e12) = all_14_14
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | ALPHA: (13) implies:
% 245.62/49.57  |   (15)  all_25_21 = e11
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (6), (15) imply:
% 245.62/49.57  |   (16)  e13 = e11
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (1), (16) imply:
% 245.62/49.57  |   (17)  all_25_4 = e11
% 245.62/49.57  | 
% 245.62/49.57  | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14), (17) are
% 245.62/49.57  |            inconsistent by sub-proof #1239.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1203 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e12 = e11)
% 245.62/49.57    (2)   ~ (e13 = e10)
% 245.62/49.57    (3)  op1(e10, e12) = e14
% 245.62/49.57    (4)  op1(e10, e14) = e11
% 245.62/49.57    (5)  op1(e13, unit1) = e13
% 245.62/49.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (7)  op1(e13, e12) = e10
% 245.62/49.57    (8)   ~ (e13 = e12)
% 245.62/49.57    (9)  op1(e10, unit1) = e10
% 245.62/49.57    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.57    (11)  op1(unit1, e14) = e14
% 245.62/49.57    (12)   ~ (all_14_19 = e10)
% 245.62/49.57    (13)  op1(unit1, e12) = e12
% 245.62/49.57    (14)  op1(e10, e11) = all_14_19
% 245.62/49.57    (15)  op1(e13, e14) = e12
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (10) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (16)  unit1 = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REDUCE: (5), (16) imply:
% 245.62/49.57  | |   (17)  op1(e13, e14) = e13
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (6), (8), (15), (17) are inconsistent by sub-proof #1227.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (18)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.57  | | 
% 245.62/49.57  | | BETA: splitting (18) gives:
% 245.62/49.57  | | 
% 245.62/49.57  | | Case 1:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (19)  unit1 = e12
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REDUCE: (5), (19) imply:
% 245.62/49.57  | | |   (20)  op1(e13, e12) = e13
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (2), (6), (7), (20) are inconsistent by sub-proof #1334.
% 245.62/49.57  | | | 
% 245.62/49.57  | | Case 2:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (21)  unit1 = e11 | unit1 = e10
% 245.62/49.57  | | | 
% 245.62/49.57  | | | BETA: splitting (21) gives:
% 245.62/49.57  | | | 
% 245.62/49.57  | | | Case 1:
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | |   (22)  unit1 = e11
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | | REDUCE: (9), (22) imply:
% 245.62/49.57  | | | |   (23)  op1(e10, e11) = e10
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | | REF_CLOSE: (6), (12), (14), (23) are inconsistent by sub-proof #1267.
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | Case 2:
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | |   (24)  unit1 = e10
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | | REDUCE: (11), (24) imply:
% 245.62/49.57  | | | |   (25)  op1(e10, e14) = e14
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | | REDUCE: (13), (24) imply:
% 245.62/49.57  | | | |   (26)  op1(e10, e12) = e12
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | | REF_CLOSE: (1), (3), (4), (6), (25), (26) are inconsistent by sub-proof
% 245.62/49.57  | | | |            #1204.
% 245.62/49.57  | | | | 
% 245.62/49.57  | | | End of split
% 245.62/49.57  | | | 
% 245.62/49.57  | | End of split
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1204 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  op1(e10, e12) = e12
% 245.62/49.57    (2)   ~ (e12 = e11)
% 245.62/49.57    (3)  op1(e10, e14) = e14
% 245.62/49.57    (4)  op1(e10, e12) = e14
% 245.62/49.57    (5)  op1(e10, e14) = e11
% 245.62/49.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | GROUND_INST: instantiating (6) with e14, e12, e12, e10, simplifying with (1),
% 245.62/49.57  |              (4) gives:
% 245.62/49.57  |   (7)  e14 = e12
% 245.62/49.57  | 
% 245.62/49.57  | GROUND_INST: instantiating (6) with e11, e14, e14, e10, simplifying with (3),
% 245.62/49.57  |              (5) gives:
% 245.62/49.57  |   (8)  e14 = e11
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (7), (8) imply:
% 245.62/49.57  |   (9)  e12 = e11
% 245.62/49.57  | 
% 245.62/49.57  | SIMP: (9) implies:
% 245.62/49.57  |   (10)  e12 = e11
% 245.62/49.57  | 
% 245.62/49.57  | REDUCE: (2), (10) imply:
% 245.62/49.57  |   (11)  $false
% 245.62/49.57  | 
% 245.62/49.57  | CLOSE: (11) is inconsistent.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1205 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  all_25_24 = e10
% 245.62/49.57    (3)  all_25_22 = e12
% 245.62/49.57    (4)  op1(e10, e13) = e13
% 245.62/49.57    (5)   ~ (e14 = e13)
% 245.62/49.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (7)  all_25_20 = e10
% 245.62/49.57    (8)   ~ (all_14_19 = e14)
% 245.62/49.57    (9)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.57             e13) = e14) | (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 =
% 245.62/49.57           e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.62/49.57    (10)  op1(e10, e11) = all_14_19
% 245.62/49.57    (11)   ~ (e14 = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (9) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (12)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 &
% 245.62/49.57  | |           op1(e10, e13) = e14)
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (4), (5), (6), (7), (12) are inconsistent by sub-proof
% 245.62/49.57  | |            #1210.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (13)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 &
% 245.62/49.57  | |           op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (2), (3), (6), (8), (10), (11), (13) are inconsistent by
% 245.62/49.57  | |            sub-proof #1206.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1206 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  (all_25_22 = e14 & op1(e10, e12) = e14) | (all_25_23 = e14 & op1(e10,
% 245.62/49.57             e11) = e14) | (all_25_24 = e14 & op1(e10, e10) = e14)
% 245.62/49.57    (2)   ~ (e14 = e10)
% 245.62/49.57    (3)  all_25_24 = e10
% 245.62/49.57    (4)  all_25_22 = e12
% 245.62/49.57    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (6)   ~ (all_14_19 = e14)
% 245.62/49.57    (7)  op1(e10, e11) = all_14_19
% 245.62/49.57    (8)   ~ (e14 = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (1) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (9)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (9) implies:
% 245.62/49.57  | |   (10)  all_25_22 = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (4), (8), (10) are inconsistent by sub-proof #1209.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (11)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 &
% 245.62/49.57  | |           op1(e10, e10) = e14)
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (3), (5), (6), (7), (11) are inconsistent by sub-proof
% 245.62/49.57  | |            #1207.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1207 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  all_25_24 = e10
% 245.62/49.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (4)  (all_25_23 = e14 & op1(e10, e11) = e14) | (all_25_24 = e14 & op1(e10,
% 245.62/49.57             e10) = e14)
% 245.62/49.57    (5)   ~ (all_14_19 = e14)
% 245.62/49.57    (6)  op1(e10, e11) = all_14_19
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (4) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (7)  all_25_23 = e14 & op1(e10, e11) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (7) implies:
% 245.62/49.57  | |   (8)  op1(e10, e11) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1257.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (9)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1208.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1208 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_24 = e14 & op1(e10, e10) = e14
% 245.62/49.57    (2)  all_25_24 = e10
% 245.62/49.57    (3)   ~ (e14 = e10)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | ALPHA: (1) implies:
% 245.62/49.57  |   (4)  all_25_24 = e14
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.57  |   (5)  e14 = e10
% 245.62/49.57  | 
% 245.62/49.57  | SIMP: (5) implies:
% 245.62/49.57  |   (6)  e14 = e10
% 245.62/49.57  | 
% 245.62/49.57  | REDUCE: (3), (6) imply:
% 245.62/49.57  |   (7)  $false
% 245.62/49.57  | 
% 245.62/49.57  | CLOSE: (7) is inconsistent.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1209 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_22 = e14
% 245.62/49.57    (2)  all_25_22 = e12
% 245.62/49.57    (3)   ~ (e14 = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (1), (2) imply:
% 245.62/49.57  |   (4)  e14 = e12
% 245.62/49.57  | 
% 245.62/49.57  | SIMP: (4) implies:
% 245.62/49.57  |   (5)  e14 = e12
% 245.62/49.57  | 
% 245.62/49.57  | REDUCE: (3), (5) imply:
% 245.62/49.57  |   (6)  $false
% 245.62/49.57  | 
% 245.62/49.57  | CLOSE: (6) is inconsistent.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1210 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  op1(e10, e13) = e13
% 245.62/49.57    (3)   ~ (e14 = e13)
% 245.62/49.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (5)  all_25_20 = e10
% 245.62/49.57    (6)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.57             e13) = e14)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (6) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (7)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1214.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (8)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (8) implies:
% 245.62/49.57  | |   (9)  op1(e10, e13) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1274.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1211 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  op1(e10, e13) = all_14_9
% 245.62/49.57    (3)  all_25_2 = e12
% 245.62/49.57    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.57    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.57           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.57           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.57    (6)   ~ (e12 = e11)
% 245.62/49.57    (7)   ~ (e14 = e11)
% 245.62/49.57    (8)   ~ (e13 = e10)
% 245.62/49.57    (9)   ~ (e14 = e13)
% 245.62/49.57    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (11)   ~ (e13 = e11)
% 245.62/49.57    (12)  all_25_20 = e10
% 245.62/49.57    (13)  op1(e13, e12) = e10
% 245.62/49.57    (14)   ~ (e11 = e10)
% 245.62/49.57    (15)   ~ (e13 = e12)
% 245.62/49.57    (16)  op1(e13, e13) = e11
% 245.62/49.57    (17)   ~ (e12 = e10)
% 245.62/49.57    (18)   ~ (all_14_9 = e12)
% 245.62/49.57    (19)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.57            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.57            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.57    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.57    (21)   ~ (e14 = e12)
% 245.62/49.57    (22)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.62/49.57              e13) = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (22) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (23)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (23) implies:
% 245.62/49.57  | |   (24)  all_25_20 = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | COMBINE_EQS: (12), (24) imply:
% 245.62/49.57  | |   (25)  e12 = e10
% 245.62/49.57  | | 
% 245.62/49.57  | | SIMP: (25) implies:
% 245.62/49.57  | |   (26)  e12 = e10
% 245.62/49.57  | | 
% 245.62/49.57  | | COMBINE_EQS: (3), (26) imply:
% 245.62/49.57  | |   (27)  all_25_2 = e10
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 245.62/49.57  | |            (16), (17), (19), (20), (21), (27) are inconsistent by sub-proof
% 245.62/49.57  | |            #1281.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (28)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (2), (10), (18), (28) are inconsistent by sub-proof #1265.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1212 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  all_25_2 = e12
% 245.62/49.57    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.57    (4)  all_25_24 = e10
% 245.62/49.57    (5)   ~ (e14 = e11)
% 245.62/49.57    (6)  all_25_3 = e11
% 245.62/49.57    (7)   ~ (e13 = e10)
% 245.62/49.57    (8)   ~ (e14 = e13)
% 245.62/49.57    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (10)   ~ (e13 = e11)
% 245.62/49.57    (11)  all_25_20 = e10
% 245.62/49.57    (12)  op1(e13, e12) = e10
% 245.62/49.57    (13)   ~ (e13 = e12)
% 245.62/49.57    (14)  op1(e13, e13) = e11
% 245.62/49.57    (15)  (all_25_20 = e14 & op1(e10, e14) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.57              e13) = e14)
% 245.62/49.57    (16)   ~ (all_14_14 = e13)
% 245.62/49.57    (17)   ~ (all_14_19 = e13)
% 245.62/49.57    (18)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.62/49.57              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.62/49.57            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.57    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.57    (20)  op1(e10, e11) = all_14_19
% 245.62/49.57    (21)  op1(e10, e12) = all_14_14
% 245.62/49.57    (22)   ~ (e14 = e12)
% 245.62/49.57    (23)  all_25_17 = e13
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (15) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (24)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (11), (24) are inconsistent by sub-proof #1214.
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (25)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | ALPHA: (25) implies:
% 245.62/49.57  | |   (26)  op1(e10, e13) = e14
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.62/49.57  | |            (13), (14), (16), (17), (18), (19), (20), (21), (22), (23), (26)
% 245.62/49.57  | |            are inconsistent by sub-proof #1213.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1213 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.57    (2)  all_25_2 = e12
% 245.62/49.57    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.57    (4)  all_25_24 = e10
% 245.62/49.57    (5)   ~ (e14 = e11)
% 245.62/49.57    (6)  all_25_3 = e11
% 245.62/49.57    (7)   ~ (e13 = e10)
% 245.62/49.57    (8)   ~ (e14 = e13)
% 245.62/49.57    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (10)   ~ (e13 = e11)
% 245.62/49.57    (11)  all_25_20 = e10
% 245.62/49.57    (12)  op1(e13, e12) = e10
% 245.62/49.57    (13)   ~ (e13 = e12)
% 245.62/49.57    (14)  op1(e13, e13) = e11
% 245.62/49.57    (15)  op1(e10, e13) = e14
% 245.62/49.57    (16)   ~ (all_14_14 = e13)
% 245.62/49.57    (17)   ~ (all_14_19 = e13)
% 245.62/49.57    (18)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 & op1(e10,
% 245.62/49.57              e13) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 =
% 245.62/49.57            e13 & op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.57    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.57    (20)  op1(e10, e11) = all_14_19
% 245.62/49.57    (21)  op1(e10, e12) = all_14_14
% 245.62/49.57    (22)   ~ (e14 = e12)
% 245.62/49.57    (23)  all_25_17 = e13
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | BETA: splitting (18) gives:
% 245.62/49.57  | 
% 245.62/49.57  | Case 1:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (24)  (all_25_20 = e13 & op1(e10, e14) = e13) | (all_25_21 = e13 &
% 245.62/49.57  | |           op1(e10, e13) = e13)
% 245.62/49.57  | | 
% 245.62/49.57  | | BETA: splitting (24) gives:
% 245.62/49.57  | | 
% 245.62/49.57  | | Case 1:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (25)  all_25_20 = e13 & op1(e10, e14) = e13
% 245.62/49.57  | | | 
% 245.62/49.57  | | | ALPHA: (25) implies:
% 245.62/49.57  | | |   (26)  all_25_20 = e13
% 245.62/49.57  | | | 
% 245.62/49.57  | | | COMBINE_EQS: (11), (26) imply:
% 245.62/49.57  | | |   (27)  e13 = e10
% 245.62/49.57  | | | 
% 245.62/49.57  | | | SIMP: (27) implies:
% 245.62/49.57  | | |   (28)  e13 = e10
% 245.62/49.57  | | | 
% 245.62/49.57  | | | COMBINE_EQS: (23), (28) imply:
% 245.62/49.57  | | |   (29)  all_25_17 = e10
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.62/49.57  | | |            (19), (22), (29) are inconsistent by sub-proof #1277.
% 245.62/49.57  | | | 
% 245.62/49.57  | | Case 2:
% 245.62/49.57  | | | 
% 245.62/49.57  | | |   (30)  all_25_21 = e13 & op1(e10, e13) = e13
% 245.62/49.57  | | | 
% 245.62/49.57  | | | ALPHA: (30) implies:
% 245.62/49.57  | | |   (31)  op1(e10, e13) = e13
% 245.62/49.57  | | | 
% 245.62/49.57  | | | REF_CLOSE: (8), (9), (15), (31) are inconsistent by sub-proof #1274.
% 245.62/49.57  | | | 
% 245.62/49.57  | | End of split
% 245.62/49.57  | | 
% 245.62/49.57  | Case 2:
% 245.62/49.57  | | 
% 245.62/49.57  | |   (32)  (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 = e13 &
% 245.62/49.57  | |           op1(e10, e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.57  | | 
% 245.62/49.57  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 245.62/49.57  | |            (14), (16), (17), (19), (20), (21), (22), (23), (32) are
% 245.62/49.57  | |            inconsistent by sub-proof #1252.
% 245.62/49.57  | | 
% 245.62/49.57  | End of split
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1214 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_20 = e14 & op1(e10, e14) = e14
% 245.62/49.57    (2)  all_25_20 = e10
% 245.62/49.57    (3)   ~ (e14 = e10)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | ALPHA: (1) implies:
% 245.62/49.57  |   (4)  all_25_20 = e14
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.57  |   (5)  e14 = e10
% 245.62/49.57  | 
% 245.62/49.57  | SIMP: (5) implies:
% 245.62/49.57  |   (6)  e14 = e10
% 245.62/49.57  | 
% 245.62/49.57  | REDUCE: (3), (6) imply:
% 245.62/49.57  |   (7)  $false
% 245.62/49.57  | 
% 245.62/49.57  | CLOSE: (7) is inconsistent.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1215 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)  all_25_12 = e12
% 245.62/49.57    (2)   ~ (e14 = e10)
% 245.62/49.57    (3)  all_25_2 = e12
% 245.62/49.57    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.57           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.57           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.57    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.57           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.57           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.57    (6)   ~ (e12 = e11)
% 245.62/49.57    (7)   ~ (e14 = e11)
% 245.62/49.57    (8)   ~ (e13 = e10)
% 245.62/49.57    (9)   ~ (e14 = e13)
% 245.62/49.57    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.57            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.57    (11)   ~ (e13 = e11)
% 245.62/49.57    (12)  op1(e13, e12) = e10
% 245.62/49.57    (13)   ~ (e11 = e10)
% 245.62/49.57    (14)   ~ (e13 = e12)
% 245.62/49.57    (15)  op1(e13, e13) = e11
% 245.62/49.57    (16)   ~ (e12 = e10)
% 245.62/49.57    (17)  all_25_12 = e10 & op1(e11, e14) = e10
% 245.62/49.57    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.57            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.57            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.57    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.57            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.57            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.57    (20)   ~ (e14 = e12)
% 245.62/49.57  
% 245.62/49.57  Begin of proof
% 245.62/49.57  | 
% 245.62/49.57  | ALPHA: (17) implies:
% 245.62/49.57  |   (21)  all_25_12 = e10
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (1), (21) imply:
% 245.62/49.57  |   (22)  e12 = e10
% 245.62/49.57  | 
% 245.62/49.57  | COMBINE_EQS: (3), (22) imply:
% 245.62/49.57  |   (23)  all_25_2 = e10
% 245.62/49.57  | 
% 245.62/49.57  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.62/49.57  |            (15), (16), (18), (19), (20), (23) are inconsistent by sub-proof
% 245.62/49.57  |            #1281.
% 245.62/49.57  | 
% 245.62/49.57  End of proof
% 245.62/49.57  
% 245.62/49.57  Sub-proof #1216 shows that the following formulas are inconsistent:
% 245.62/49.57  ----------------------------------------------------------------
% 245.62/49.57    (1)   ~ (e14 = e10)
% 245.62/49.58    (2)  all_25_2 = e12
% 245.62/49.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.58    (4)  all_25_4 = e13
% 245.62/49.58    (5)   ~ (all_14_12 = e13)
% 245.62/49.58    (6)   ~ (e14 = e11)
% 245.62/49.58    (7)  all_25_3 = e11
% 245.62/49.58    (8)   ~ (e13 = e10)
% 245.62/49.58    (9)  op1(e11, e12) = all_14_13
% 245.62/49.58    (10)   ~ (e14 = e13)
% 245.62/49.58    (11)  all_25_6 = e10 & op1(e12, e14) = e10
% 245.62/49.58    (12)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.58            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.58            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.58    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (14)   ~ (e13 = e11)
% 245.62/49.58    (15)  op1(e13, e12) = e10
% 245.62/49.58    (16)   ~ (e13 = e12)
% 245.62/49.58    (17)  op1(e13, e13) = e11
% 245.62/49.58    (18)   ~ (all_14_13 = e13)
% 245.62/49.58    (19)  all_25_6 = e13
% 245.62/49.58    (20)   ~ (all_14_14 = e13)
% 245.62/49.58    (21)  op1(e12, e12) = all_14_12
% 245.62/49.58    (22)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.58    (23)  op1(e10, e12) = all_14_14
% 245.62/49.58    (24)   ~ (e14 = e12)
% 245.62/49.58    (25)  all_25_17 = e13
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (11) implies:
% 245.62/49.58  |   (26)  all_25_6 = e10
% 245.62/49.58  | 
% 245.62/49.58  | COMBINE_EQS: (19), (26) imply:
% 245.62/49.58  |   (27)  e13 = e10
% 245.62/49.58  | 
% 245.62/49.58  | COMBINE_EQS: (4), (27) imply:
% 245.62/49.58  |   (28)  all_25_4 = e10
% 245.62/49.58  | 
% 245.62/49.58  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 245.62/49.58  |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (25), (28)
% 245.62/49.58  |            are inconsistent by sub-proof #1242.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1217 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_9 = e10
% 245.62/49.58    (2)   ~ (e14 = e10)
% 245.62/49.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.58    (4)  all_25_1 = e12
% 245.62/49.58    (5)  all_25_4 = e13
% 245.62/49.58    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.58           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.58           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.58    (7)   ~ (e12 = e11)
% 245.62/49.58    (8)   ~ (e14 = e11)
% 245.62/49.58    (9)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.62/49.58           = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.62/49.58           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.62/49.58    (10)   ~ (e13 = e10)
% 245.62/49.58    (11)   ~ (e14 = e13)
% 245.62/49.58    (12)  op1(e14, e11) = all_14_15
% 245.62/49.58    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (14)   ~ (e13 = e11)
% 245.62/49.58    (15)  op1(e13, e12) = e10
% 245.62/49.58    (16)   ~ (e11 = e10)
% 245.62/49.58    (17)   ~ (e13 = e12)
% 245.62/49.58    (18)  op1(e13, e13) = e11
% 245.62/49.58    (19)   ~ (e12 = e10)
% 245.62/49.58    (20)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_2 = e10 & op1(e13, e14)
% 245.62/49.58            = e10)
% 245.62/49.58    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.58            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.58            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.58    (22)   ~ (all_14_15 = e14)
% 245.62/49.58    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.58    (24)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.58            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.58            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58    (25)   ~ (e14 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (20) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (26)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (26) implies:
% 245.62/49.58  | |   (27)  all_25_0 = e10
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (11), (12), (13), (14), (16),
% 245.62/49.58  | |            (22), (24), (25), (27) are inconsistent by sub-proof #1218.
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (28)  all_25_2 = e10 & op1(e13, e14) = e10
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (28) implies:
% 245.62/49.58  | |   (29)  all_25_2 = e10
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (2), (3), (6), (7), (8), (10), (11), (13), (14), (15), (16),
% 245.62/49.58  | |            (17), (18), (19), (21), (23), (25), (29) are inconsistent by
% 245.62/49.58  | |            sub-proof #1281.
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1218 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_9 = e10
% 245.62/49.58    (2)   ~ (e14 = e10)
% 245.62/49.58    (3)  all_25_1 = e12
% 245.62/49.58    (4)  all_25_4 = e13
% 245.62/49.58    (5)   ~ (e12 = e11)
% 245.62/49.58    (6)   ~ (e14 = e11)
% 245.62/49.58    (7)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.62/49.58           = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.62/49.58           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.62/49.58    (8)   ~ (e14 = e13)
% 245.62/49.58    (9)  op1(e14, e11) = all_14_15
% 245.62/49.58    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (11)   ~ (e13 = e11)
% 245.62/49.58    (12)   ~ (e11 = e10)
% 245.62/49.58    (13)  all_25_0 = e10
% 245.62/49.58    (14)   ~ (all_14_15 = e14)
% 245.62/49.58    (15)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.58            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.58            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58    (16)   ~ (e14 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (7) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (17)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14,
% 245.62/49.58  | |             e13) = e11)
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (17) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (18)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (12), (13), (18) are inconsistent by sub-proof #1222.
% 245.62/49.58  | | | 
% 245.62/49.58  | | Case 2:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (19)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (3), (5), (19) are inconsistent by sub-proof #1240.
% 245.62/49.58  | | | 
% 245.62/49.58  | | End of split
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (20)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 & op1(e14,
% 245.62/49.58  | |             e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (20) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (21)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (4), (11), (21) are inconsistent by sub-proof #1221.
% 245.62/49.58  | | | 
% 245.62/49.58  | | Case 2:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (22)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.62/49.58  | | |           op1(e14, e10) = e11)
% 245.62/49.58  | | | 
% 245.62/49.58  | | | BETA: splitting (22) gives:
% 245.62/49.58  | | | 
% 245.62/49.58  | | | Case 1:
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | |   (23)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | ALPHA: (23) implies:
% 245.62/49.58  | | | |   (24)  all_25_9 = e11
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | REF_CLOSE: (1), (12), (24) are inconsistent by sub-proof #1238.
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | Case 2:
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | |   (25)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | ALPHA: (25) implies:
% 245.62/49.58  | | | |   (26)  all_25_16 = e11
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (13), (14), (15), (16),
% 245.62/49.58  | | | |            (26) are inconsistent by sub-proof #1219.
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | End of split
% 245.62/49.58  | | | 
% 245.62/49.58  | | End of split
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1219 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ~ (e14 = e10)
% 245.62/49.58    (2)  all_25_1 = e12
% 245.62/49.58    (3)  all_25_4 = e13
% 245.62/49.58    (4)   ~ (e14 = e11)
% 245.62/49.58    (5)   ~ (e14 = e13)
% 245.62/49.58    (6)  op1(e14, e11) = all_14_15
% 245.62/49.58    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (8)  all_25_16 = e11
% 245.62/49.58    (9)  all_25_0 = e10
% 245.62/49.58    (10)   ~ (all_14_15 = e14)
% 245.62/49.58    (11)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.58            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.58            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58    (12)   ~ (e14 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (11) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (13)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.62/49.58  | |             e13) = e14)
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (13) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (14)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (1), (9), (14) are inconsistent by sub-proof #1220.
% 245.62/49.58  | | | 
% 245.62/49.58  | | Case 2:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (15)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (2), (12), (15) are inconsistent by sub-proof #1292.
% 245.62/49.58  | | | 
% 245.62/49.58  | | End of split
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (16)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.62/49.58  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (16) are inconsistent by
% 245.62/49.58  | |            sub-proof #1234.
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1220 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.62/49.58    (2)  all_25_0 = e10
% 245.62/49.58    (3)   ~ (e14 = e10)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (1) implies:
% 245.62/49.58  |   (4)  all_25_0 = e14
% 245.62/49.58  | 
% 245.62/49.58  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.58  |   (5)  e14 = e10
% 245.62/49.58  | 
% 245.62/49.58  | SIMP: (5) implies:
% 245.62/49.58  |   (6)  e14 = e10
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (3), (6) imply:
% 245.62/49.58  |   (7)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (7) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1221 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.62/49.58    (2)  all_25_4 = e13
% 245.62/49.58    (3)   ~ (e13 = e11)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (1) implies:
% 245.62/49.58  |   (4)  all_25_4 = e11
% 245.62/49.58  | 
% 245.62/49.58  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.58  |   (5)  e13 = e11
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (3), (5) imply:
% 245.62/49.58  |   (6)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (6) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1222 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.62/49.58    (2)  all_25_0 = e10
% 245.62/49.58    (3)   ~ (e11 = e10)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (1) implies:
% 245.62/49.58  |   (4)  all_25_0 = e11
% 245.62/49.58  | 
% 245.62/49.58  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.58  |   (5)  e11 = e10
% 245.62/49.58  | 
% 245.62/49.58  | SIMP: (5) implies:
% 245.62/49.58  |   (6)  e11 = e10
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (3), (6) imply:
% 245.62/49.58  |   (7)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (7) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1223 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ~ (all_14_15 = e12)
% 245.62/49.58    (2)  op1(e14, e11) = all_14_15
% 245.62/49.58    (3)  op1(e13, e11) = e14
% 245.62/49.58    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (5)  (all_25_9 = e12 & op1(e14, e11) = e12) | (all_25_10 = e12 & op1(e13, e11)
% 245.62/49.58           = e12)
% 245.62/49.58    (6)   ~ (e14 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (5) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (7)  all_25_9 = e12 & op1(e14, e11) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (7) implies:
% 245.62/49.58  | |   (8)  op1(e14, e11) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | GROUND_INST: instantiating (4) with all_14_15, e12, e11, e14, simplifying
% 245.62/49.58  | |              with (2), (8) gives:
% 245.62/49.58  | |   (9)  all_14_15 = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | REDUCE: (1), (9) imply:
% 245.62/49.58  | |   (10)  $false
% 245.62/49.58  | | 
% 245.62/49.58  | | CLOSE: (10) is inconsistent.
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (11)  all_25_10 = e12 & op1(e13, e11) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (11) implies:
% 245.62/49.58  | |   (12)  op1(e13, e11) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (3), (4), (6), (12) are inconsistent by sub-proof #1336.
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1224 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  (all_25_16 = e12 & op1(e14, e10) = e12) | (all_25_17 = e12 & op1(e13,
% 245.62/49.58             e10) = e12)
% 245.62/49.58    (2)   ~ (e13 = e10)
% 245.62/49.58    (3)  op1(e13, unit1) = e13
% 245.62/49.58    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (5)  op1(e13, e12) = e10
% 245.62/49.58    (6)   ~ (e13 = e12)
% 245.62/49.58    (7)  op1(e14, e10) = all_14_20
% 245.62/49.58    (8)   ~ (all_14_20 = e12)
% 245.62/49.58    (9)  op1(e10, unit1) = e10
% 245.62/49.58    (10)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.58    (11)  op1(e14, e12) = all_14_10
% 245.62/49.58    (12)   ~ (all_14_10 = e12)
% 245.62/49.58    (13)   ~ (all_14_19 = e10)
% 245.62/49.58    (14)  op1(unit1, e12) = e12
% 245.62/49.58    (15)  op1(e10, e11) = all_14_19
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (1) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (16)  all_25_16 = e12 & op1(e14, e10) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (4), (7), (8), (16) are inconsistent by sub-proof #1225.
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (17)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (17) implies:
% 245.62/49.58  | |   (18)  op1(e13, e10) = e12
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (10) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (19)  unit1 = e14
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REDUCE: (14), (19) imply:
% 245.62/49.58  | | |   (20)  op1(e14, e12) = e12
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (4), (11), (12), (20) are inconsistent by sub-proof #1268.
% 245.62/49.58  | | | 
% 245.62/49.58  | | Case 2:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (21)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.58  | | | 
% 245.62/49.58  | | | BETA: splitting (21) gives:
% 245.62/49.58  | | | 
% 245.62/49.58  | | | Case 1:
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | |   (22)  unit1 = e12
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | REDUCE: (3), (22) imply:
% 245.62/49.58  | | | |   (23)  op1(e13, e12) = e13
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | REF_CLOSE: (2), (4), (5), (23) are inconsistent by sub-proof #1334.
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | Case 2:
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | |   (24)  unit1 = e11 | unit1 = e10
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | BETA: splitting (24) gives:
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | | Case 1:
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | |   (25)  unit1 = e11
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | REDUCE: (9), (25) imply:
% 245.62/49.58  | | | | |   (26)  op1(e10, e11) = e10
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | REF_CLOSE: (4), (13), (15), (26) are inconsistent by sub-proof #1267.
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | Case 2:
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | |   (27)  unit1 = e10
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | REDUCE: (3), (27) imply:
% 245.62/49.58  | | | | |   (28)  op1(e13, e10) = e13
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | GROUND_INST: instantiating (4) with e12, e13, e10, e13, simplifying
% 245.62/49.58  | | | | |              with (18), (28) gives:
% 245.62/49.58  | | | | |   (29)  e13 = e12
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | REDUCE: (6), (29) imply:
% 245.62/49.58  | | | | |   (30)  $false
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | | CLOSE: (30) is inconsistent.
% 245.62/49.58  | | | | | 
% 245.62/49.58  | | | | End of split
% 245.62/49.58  | | | | 
% 245.62/49.58  | | | End of split
% 245.62/49.58  | | | 
% 245.62/49.58  | | End of split
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1225 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_16 = e12 & op1(e14, e10) = e12
% 245.62/49.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (3)  op1(e14, e10) = all_14_20
% 245.62/49.58    (4)   ~ (all_14_20 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (1) implies:
% 245.62/49.58  |   (5)  op1(e14, e10) = e12
% 245.62/49.58  | 
% 245.62/49.58  | GROUND_INST: instantiating (2) with all_14_20, e12, e10, e14, simplifying with
% 245.62/49.58  |              (3), (5) gives:
% 245.62/49.58  |   (6)  all_14_20 = e12
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (4), (6) imply:
% 245.62/49.58  |   (7)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (7) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1226 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ~ (e14 = e10)
% 245.62/49.58    (2)  all_25_2 = e12
% 245.62/49.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.58    (4)  all_25_1 = e12
% 245.62/49.58    (5)   ~ (all_14_12 = e13)
% 245.62/49.58    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.58           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.58           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.58    (7)   ~ (e12 = e11)
% 245.62/49.58    (8)   ~ (e14 = e11)
% 245.62/49.58    (9)  all_25_3 = e11
% 245.62/49.58    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.62/49.58            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.62/49.58            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.62/49.58    (11)   ~ (e13 = e10)
% 245.62/49.58    (12)  op1(e11, e12) = all_14_13
% 245.62/49.58    (13)   ~ (e14 = e13)
% 245.62/49.58    (14)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.58            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.58            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.58    (15)  op1(e14, e11) = all_14_15
% 245.62/49.58    (16)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.62/49.58            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.62/49.58            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.62/49.58    (17)  (all_25_0 = e13 & op1(e14, e14) = e13) | (all_25_2 = e13 & op1(e13, e14)
% 245.62/49.58            = e13)
% 245.62/49.58    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (19)   ~ (e13 = e11)
% 245.62/49.58    (20)  op1(e13, e12) = e10
% 245.62/49.58    (21)   ~ (e11 = e10)
% 245.62/49.58    (22)   ~ (e13 = e12)
% 245.62/49.58    (23)  op1(e13, e13) = e11
% 245.62/49.58    (24)   ~ (all_14_13 = e13)
% 245.62/49.58    (25)   ~ (e12 = e10)
% 245.62/49.58    (26)   ~ (all_14_14 = e13)
% 245.62/49.58    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.58            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.58            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.58    (28)   ~ (all_14_15 = e14)
% 245.62/49.58    (29)  op1(e14, e10) = all_14_20
% 245.62/49.58    (30)  op1(e12, e12) = all_14_12
% 245.62/49.58    (31)   ~ (all_14_20 = e10)
% 245.62/49.58    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.58    (33)  op1(e10, e12) = all_14_14
% 245.62/49.58    (34)  op1(e13, e14) = e12
% 245.62/49.58    (35)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.58            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.58            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58    (36)   ~ (e14 = e12)
% 245.62/49.58    (37)  all_25_17 = e13
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (17) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (38)  all_25_0 = e13 & op1(e14, e14) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (38) implies:
% 245.62/49.58  | |   (39)  all_25_0 = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.62/49.58  | |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 245.62/49.58  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (35), (36),
% 245.62/49.58  | |            (37), (39) are inconsistent by sub-proof #1231.
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (40)  all_25_2 = e13 & op1(e13, e14) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (40) implies:
% 245.62/49.58  | |   (41)  op1(e13, e14) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (18), (22), (34), (41) are inconsistent by sub-proof #1227.
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1227 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (2)  op1(e13, e14) = e13
% 245.62/49.58    (3)  op1(e13, e14) = e12
% 245.62/49.58    (4)   ~ (e13 = e12)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | GROUND_INST: instantiating (1) with e12, e13, e14, e13, simplifying with (2),
% 245.62/49.58  |              (3) gives:
% 245.62/49.58  |   (5)  e13 = e12
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (4), (5) imply:
% 245.62/49.58  |   (6)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (6) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1228 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)  all_25_11 = e13 & op1(e12, e11) = e13
% 245.62/49.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (3)  op1(e12, e11) = all_14_17
% 245.62/49.58    (4)   ~ (all_14_17 = e13)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | ALPHA: (1) implies:
% 245.62/49.58  |   (5)  op1(e12, e11) = e13
% 245.62/49.58  | 
% 245.62/49.58  | GROUND_INST: instantiating (2) with all_14_17, e13, e11, e12, simplifying with
% 245.62/49.58  |              (3), (5) gives:
% 245.62/49.58  |   (6)  all_14_17 = e13
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (4), (6) imply:
% 245.62/49.58  |   (7)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (7) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1229 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ~ (all_14_15 = e13)
% 245.62/49.58    (2)   ~ (e14 = e13)
% 245.62/49.58    (3)  op1(e14, e11) = all_14_15
% 245.62/49.58    (4)  op1(e13, e11) = e14
% 245.62/49.58    (5)  (all_25_9 = e13 & op1(e14, e11) = e13) | (all_25_10 = e13 & op1(e13, e11)
% 245.62/49.58           = e13)
% 245.62/49.58    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (5) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (7)  all_25_9 = e13 & op1(e14, e11) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (7) implies:
% 245.62/49.58  | |   (8)  op1(e14, e11) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1230.
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (9)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | ALPHA: (9) implies:
% 245.62/49.58  | |   (10)  op1(e13, e11) = e13
% 245.62/49.58  | | 
% 245.62/49.58  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1333.
% 245.62/49.58  | | 
% 245.62/49.58  | End of split
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1230 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (2)  op1(e14, e11) = all_14_15
% 245.62/49.58    (3)  op1(e14, e11) = e13
% 245.62/49.58    (4)   ~ (all_14_15 = e13)
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | GROUND_INST: instantiating (1) with all_14_15, e13, e11, e14, simplifying with
% 245.62/49.58  |              (2), (3) gives:
% 245.62/49.58  |   (5)  all_14_15 = e13
% 245.62/49.58  | 
% 245.62/49.58  | REDUCE: (4), (5) imply:
% 245.62/49.58  |   (6)  $false
% 245.62/49.58  | 
% 245.62/49.58  | CLOSE: (6) is inconsistent.
% 245.62/49.58  | 
% 245.62/49.58  End of proof
% 245.62/49.58  
% 245.62/49.58  Sub-proof #1231 shows that the following formulas are inconsistent:
% 245.62/49.58  ----------------------------------------------------------------
% 245.62/49.58    (1)   ~ (e14 = e10)
% 245.62/49.58    (2)  all_25_2 = e12
% 245.62/49.58    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.58           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.58           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.58    (4)  all_25_1 = e12
% 245.62/49.58    (5)   ~ (all_14_12 = e13)
% 245.62/49.58    (6)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.58           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.58           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.58    (7)   ~ (e12 = e11)
% 245.62/49.58    (8)   ~ (e14 = e11)
% 245.62/49.58    (9)  all_25_3 = e11
% 245.62/49.58    (10)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 & op1(e14, e13)
% 245.62/49.58            = e11) | (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.62/49.58            op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) = e11)
% 245.62/49.58    (11)   ~ (e13 = e10)
% 245.62/49.58    (12)  op1(e11, e12) = all_14_13
% 245.62/49.58    (13)   ~ (e14 = e13)
% 245.62/49.58    (14)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.58            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.58            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.58    (15)  op1(e14, e11) = all_14_15
% 245.62/49.58    (16)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14, e13)
% 245.62/49.58            = e10) | (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 &
% 245.62/49.58            op1(e14, e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.62/49.58    (17)  all_25_0 = e13
% 245.62/49.58    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.58            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.58    (19)   ~ (e13 = e11)
% 245.62/49.58    (20)  op1(e13, e12) = e10
% 245.62/49.58    (21)   ~ (e11 = e10)
% 245.62/49.58    (22)   ~ (e13 = e12)
% 245.62/49.58    (23)  op1(e13, e13) = e11
% 245.62/49.58    (24)   ~ (all_14_13 = e13)
% 245.62/49.58    (25)   ~ (e12 = e10)
% 245.62/49.58    (26)   ~ (all_14_14 = e13)
% 245.62/49.58    (27)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.58            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.58            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.58    (28)   ~ (all_14_15 = e14)
% 245.62/49.58    (29)  op1(e14, e10) = all_14_20
% 245.62/49.58    (30)  op1(e12, e12) = all_14_12
% 245.62/49.58    (31)   ~ (all_14_20 = e10)
% 245.62/49.58    (32)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.58            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.58            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.58    (33)  op1(e10, e12) = all_14_14
% 245.62/49.58    (34)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.58            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.58            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.58    (35)   ~ (e14 = e12)
% 245.62/49.58    (36)  all_25_17 = e13
% 245.62/49.58  
% 245.62/49.58  Begin of proof
% 245.62/49.58  | 
% 245.62/49.58  | BETA: splitting (16) gives:
% 245.62/49.58  | 
% 245.62/49.58  | Case 1:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (37)  (all_25_0 = e10 & op1(e14, e14) = e10) | (all_25_1 = e10 & op1(e14,
% 245.62/49.58  | |             e13) = e10)
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (37) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (38)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (1), (2), (3), (8), (9), (11), (13), (17), (18), (19), (20),
% 245.62/49.58  | | |            (22), (23), (32), (35), (36), (38) are inconsistent by
% 245.62/49.58  | | |            sub-proof #1246.
% 245.62/49.58  | | | 
% 245.62/49.58  | | Case 2:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (39)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.62/49.58  | | | 
% 245.62/49.58  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (11), (13), (18), (19),
% 245.62/49.58  | | |            (20), (21), (22), (23), (25), (27), (32), (35), (39) are
% 245.62/49.58  | | |            inconsistent by sub-proof #1280.
% 245.62/49.58  | | | 
% 245.62/49.58  | | End of split
% 245.62/49.58  | | 
% 245.62/49.58  | Case 2:
% 245.62/49.58  | | 
% 245.62/49.58  | |   (40)  (all_25_4 = e10 & op1(e14, e12) = e10) | (all_25_9 = e10 & op1(e14,
% 245.62/49.58  | |             e11) = e10) | (all_25_16 = e10 & op1(e14, e10) = e10)
% 245.62/49.58  | | 
% 245.62/49.58  | | BETA: splitting (40) gives:
% 245.62/49.58  | | 
% 245.62/49.58  | | Case 1:
% 245.62/49.58  | | | 
% 245.62/49.58  | | |   (41)  all_25_4 = e10 & op1(e14, e12) = e10
% 245.62/49.58  | | | 
% 245.62/49.58  | | | ALPHA: (41) implies:
% 245.62/49.59  | | |   (42)  all_25_4 = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (11), (12), (13), (14), (18),
% 245.62/49.59  | | |            (19), (20), (22), (23), (24), (26), (30), (32), (33), (35),
% 245.62/49.59  | | |            (36), (42) are inconsistent by sub-proof #1242.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (43)  (all_25_9 = e10 & op1(e14, e11) = e10) | (all_25_16 = e10 &
% 245.62/49.59  | | |           op1(e14, e10) = e10)
% 245.62/49.59  | | | 
% 245.62/49.59  | | | BETA: splitting (43) gives:
% 245.62/49.59  | | | 
% 245.62/49.59  | | | Case 1:
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | |   (44)  all_25_9 = e10 & op1(e14, e11) = e10
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | ALPHA: (44) implies:
% 245.62/49.59  | | | |   (45)  all_25_9 = e10
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | BETA: splitting (10) gives:
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | Case 1:
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | |   (46)  (all_25_0 = e11 & op1(e14, e14) = e11) | (all_25_1 = e11 &
% 245.62/49.59  | | | | |           op1(e14, e13) = e11)
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | | BETA: splitting (46) gives:
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | | Case 1:
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | |   (47)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | REF_CLOSE: (17), (19), (47) are inconsistent by sub-proof #1241.
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | Case 2:
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | |   (48)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | REF_CLOSE: (4), (7), (48) are inconsistent by sub-proof #1240.
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | End of split
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | Case 2:
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | |   (49)  (all_25_4 = e11 & op1(e14, e12) = e11) | (all_25_9 = e11 &
% 245.62/49.59  | | | | |           op1(e14, e11) = e11) | (all_25_16 = e11 & op1(e14, e10) =
% 245.62/49.59  | | | | |           e11)
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | | BETA: splitting (49) gives:
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | | Case 1:
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | |   (50)  all_25_4 = e11 & op1(e14, e12) = e11
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | ALPHA: (50) implies:
% 245.62/49.59  | | | | | |   (51)  all_25_4 = e11
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | REF_CLOSE: (5), (11), (12), (14), (18), (19), (20), (24), (26),
% 245.62/49.59  | | | | | |            (30), (33), (51) are inconsistent by sub-proof #1239.
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | Case 2:
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | |   (52)  (all_25_9 = e11 & op1(e14, e11) = e11) | (all_25_16 = e11 &
% 245.62/49.59  | | | | | |           op1(e14, e10) = e11)
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | BETA: splitting (52) gives:
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | | Case 1:
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | |   (53)  all_25_9 = e11 & op1(e14, e11) = e11
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | | ALPHA: (53) implies:
% 245.62/49.59  | | | | | | |   (54)  all_25_9 = e11
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | | REF_CLOSE: (21), (45), (54) are inconsistent by sub-proof #1238.
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | Case 2:
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | |   (55)  all_25_16 = e11 & op1(e14, e10) = e11
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | | ALPHA: (55) implies:
% 245.62/49.59  | | | | | | |   (56)  all_25_16 = e11
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | | BETA: splitting (14) gives:
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | | Case 1:
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | |   (57)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13
% 245.62/49.59  | | | | | | | |           & op1(e13, e12) = e13)
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | | BETA: splitting (57) gives:
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | | Case 1:
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | |   (58)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | ALPHA: (58) implies:
% 245.62/49.59  | | | | | | | | |   (59)  all_25_4 = e13
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | REF_CLOSE: (4), (8), (13), (15), (17), (18), (28), (34), (35),
% 245.62/49.59  | | | | | | | | |            (56), (59) are inconsistent by sub-proof #1233.
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | Case 2:
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | |   (60)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | ALPHA: (60) implies:
% 245.62/49.59  | | | | | | | | |   (61)  op1(e13, e12) = e13
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | REF_CLOSE: (11), (18), (20), (61) are inconsistent by
% 245.62/49.59  | | | | | | | | |            sub-proof #1334.
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | End of split
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | Case 2:
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | |   (62)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 =
% 245.62/49.59  | | | | | | | |           e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 245.62/49.59  | | | | | | | |           op1(e10, e12) = e13)
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | | BETA: splitting (62) gives:
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | | Case 1:
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | |   (63)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | REF_CLOSE: (5), (18), (30), (63) are inconsistent by sub-proof
% 245.62/49.59  | | | | | | | | |            #1245.
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | Case 2:
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | |   (64)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 =
% 245.62/49.59  | | | | | | | | |           e13 & op1(e10, e12) = e13)
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | | REF_CLOSE: (12), (18), (24), (26), (33), (64) are inconsistent
% 245.62/49.59  | | | | | | | | |            by sub-proof #1243.
% 245.62/49.59  | | | | | | | | | 
% 245.62/49.59  | | | | | | | | End of split
% 245.62/49.59  | | | | | | | | 
% 245.62/49.59  | | | | | | | End of split
% 245.62/49.59  | | | | | | | 
% 245.62/49.59  | | | | | | End of split
% 245.62/49.59  | | | | | | 
% 245.62/49.59  | | | | | End of split
% 245.62/49.59  | | | | | 
% 245.62/49.59  | | | | End of split
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | Case 2:
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | |   (65)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | REF_CLOSE: (18), (29), (31), (65) are inconsistent by sub-proof #1232.
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | End of split
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1232 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_16 = e10 & op1(e14, e10) = e10
% 245.62/49.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (3)  op1(e14, e10) = all_14_20
% 245.62/49.59    (4)   ~ (all_14_20 = e10)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (5)  op1(e14, e10) = e10
% 245.62/49.59  | 
% 245.62/49.59  | GROUND_INST: instantiating (2) with all_14_20, e10, e10, e14, simplifying with
% 245.62/49.59  |              (3), (5) gives:
% 245.62/49.59  |   (6)  all_14_20 = e10
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (4), (6) imply:
% 245.62/49.59  |   (7)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (7) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1233 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_1 = e12
% 245.62/49.59    (2)  all_25_4 = e13
% 245.62/49.59    (3)   ~ (e14 = e11)
% 245.62/49.59    (4)   ~ (e14 = e13)
% 245.62/49.59    (5)  op1(e14, e11) = all_14_15
% 245.62/49.59    (6)  all_25_0 = e13
% 245.62/49.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (8)  all_25_16 = e11
% 245.62/49.59    (9)   ~ (all_14_15 = e14)
% 245.62/49.59    (10)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.59            = e14) | (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 &
% 245.62/49.59            op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.59    (11)   ~ (e14 = e12)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (10) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (12)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14,
% 245.62/49.59  | |             e13) = e14)
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (1), (4), (6), (11), (12) are inconsistent by sub-proof #1237.
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (13)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14,
% 245.62/49.59  | |             e11) = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (13) are inconsistent by
% 245.62/49.59  | |            sub-proof #1234.
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1234 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_4 = e13
% 245.62/49.59    (2)   ~ (e14 = e11)
% 245.62/49.59    (3)   ~ (e14 = e13)
% 245.62/49.59    (4)  op1(e14, e11) = all_14_15
% 245.62/49.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (6)  (all_25_4 = e14 & op1(e14, e12) = e14) | (all_25_9 = e14 & op1(e14, e11)
% 245.62/49.59           = e14) | (all_25_16 = e14 & op1(e14, e10) = e14)
% 245.62/49.59    (7)  all_25_16 = e11
% 245.62/49.59    (8)   ~ (all_14_15 = e14)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (6) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (9)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #1236.
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (10)  (all_25_9 = e14 & op1(e14, e11) = e14) | (all_25_16 = e14 & op1(e14,
% 245.62/49.59  | |             e10) = e14)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (10) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (11)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (4), (5), (8), (11) are inconsistent by sub-proof #1340.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (12)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (2), (7), (12) are inconsistent by sub-proof #1235.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1235 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_16 = e14 & op1(e14, e10) = e14
% 245.62/49.59    (2)  all_25_16 = e11
% 245.62/49.59    (3)   ~ (e14 = e11)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (4)  all_25_16 = e14
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.59  |   (5)  e14 = e11
% 245.62/49.59  | 
% 245.62/49.59  | SIMP: (5) implies:
% 245.62/49.59  |   (6)  e14 = e11
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (3), (6) imply:
% 245.62/49.59  |   (7)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (7) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1236 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_4 = e14 & op1(e14, e12) = e14
% 245.62/49.59    (2)  all_25_4 = e13
% 245.62/49.59    (3)   ~ (e14 = e13)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (4)  all_25_4 = e14
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.59  |   (5)  e14 = e13
% 245.62/49.59  | 
% 245.62/49.59  | SIMP: (5) implies:
% 245.62/49.59  |   (6)  e14 = e13
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (3), (6) imply:
% 245.62/49.59  |   (7)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (7) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1237 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_1 = e12
% 245.62/49.59    (2)   ~ (e14 = e13)
% 245.62/49.59    (3)  all_25_0 = e13
% 245.62/49.59    (4)  (all_25_0 = e14 & op1(e14, e14) = e14) | (all_25_1 = e14 & op1(e14, e13)
% 245.62/49.59           = e14)
% 245.62/49.59    (5)   ~ (e14 = e12)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (4) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (6)  all_25_0 = e14 & op1(e14, e14) = e14
% 245.62/49.59  | | 
% 245.62/49.59  | | ALPHA: (6) implies:
% 245.62/49.59  | |   (7)  all_25_0 = e14
% 245.62/49.59  | | 
% 245.62/49.59  | | COMBINE_EQS: (3), (7) imply:
% 245.62/49.59  | |   (8)  e14 = e13
% 245.62/49.59  | | 
% 245.62/49.59  | | SIMP: (8) implies:
% 245.62/49.59  | |   (9)  e14 = e13
% 245.62/49.59  | | 
% 245.62/49.59  | | REDUCE: (2), (9) imply:
% 245.62/49.59  | |   (10)  $false
% 245.62/49.59  | | 
% 245.62/49.59  | | CLOSE: (10) is inconsistent.
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (11)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #1292.
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1238 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_9 = e11
% 245.62/49.59    (2)  all_25_9 = e10
% 245.62/49.59    (3)   ~ (e11 = e10)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (1), (2) imply:
% 245.62/49.59  |   (4)  e11 = e10
% 245.62/49.59  | 
% 245.62/49.59  | SIMP: (4) implies:
% 245.62/49.59  |   (5)  e11 = e10
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (3), (5) imply:
% 245.62/49.59  |   (6)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (6) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1239 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (all_14_12 = e13)
% 245.62/49.59    (2)   ~ (e13 = e10)
% 245.62/49.59    (3)  op1(e11, e12) = all_14_13
% 245.62/49.59    (4)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.59           = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.59           op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.59    (5)  all_25_4 = e11
% 245.62/49.59    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (7)   ~ (e13 = e11)
% 245.62/49.59    (8)  op1(e13, e12) = e10
% 245.62/49.59    (9)   ~ (all_14_13 = e13)
% 245.62/49.59    (10)   ~ (all_14_14 = e13)
% 245.62/49.59    (11)  op1(e12, e12) = all_14_12
% 245.62/49.59    (12)  op1(e10, e12) = all_14_14
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (4) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (13)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13,
% 245.62/49.59  | |             e12) = e13)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (13) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (14)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (14) implies:
% 245.62/49.59  | | |   (15)  all_25_4 = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | COMBINE_EQS: (5), (15) imply:
% 245.62/49.59  | | |   (16)  e13 = e11
% 245.62/49.59  | | | 
% 245.62/49.59  | | | SIMP: (16) implies:
% 245.62/49.59  | | |   (17)  e13 = e11
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REDUCE: (7), (17) imply:
% 245.62/49.59  | | |   (18)  $false
% 245.62/49.59  | | | 
% 245.62/49.59  | | | CLOSE: (18) is inconsistent.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (19)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (19) implies:
% 245.62/49.59  | | |   (20)  op1(e13, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (2), (6), (8), (20) are inconsistent by sub-proof #1334.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (21)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 & op1(e11,
% 245.62/49.59  | |             e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (21) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (22)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (1), (6), (11), (22) are inconsistent by sub-proof #1245.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (23)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 245.62/49.59  | | |           op1(e10, e12) = e13)
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (3), (6), (9), (10), (12), (23) are inconsistent by sub-proof
% 245.62/49.59  | | |            #1243.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1240 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_1 = e11 & op1(e14, e13) = e11
% 245.62/49.59    (2)  all_25_1 = e12
% 245.62/49.59    (3)   ~ (e12 = e11)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (4)  all_25_1 = e11
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.59  |   (5)  e12 = e11
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (3), (5) imply:
% 245.62/49.59  |   (6)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (6) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1241 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_0 = e11 & op1(e14, e14) = e11
% 245.62/49.59    (2)  all_25_0 = e13
% 245.62/49.59    (3)   ~ (e13 = e11)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (4)  all_25_0 = e11
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.59  |   (5)  e13 = e11
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (3), (5) imply:
% 245.62/49.59  |   (6)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (6) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1242 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (e14 = e10)
% 245.62/49.59    (2)  all_25_2 = e12
% 245.62/49.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.59    (4)  all_25_4 = e10
% 245.62/49.59    (5)   ~ (all_14_12 = e13)
% 245.62/49.59    (6)   ~ (e14 = e11)
% 245.62/49.59    (7)  all_25_3 = e11
% 245.62/49.59    (8)   ~ (e13 = e10)
% 245.62/49.59    (9)  op1(e11, e12) = all_14_13
% 245.62/49.59    (10)   ~ (e14 = e13)
% 245.62/49.59    (11)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13, e12)
% 245.62/49.59            = e13) | (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 &
% 245.62/49.59            op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.59    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (13)   ~ (e13 = e11)
% 245.62/49.59    (14)  op1(e13, e12) = e10
% 245.62/49.59    (15)   ~ (e13 = e12)
% 245.62/49.59    (16)  op1(e13, e13) = e11
% 245.62/49.59    (17)   ~ (all_14_13 = e13)
% 245.62/49.59    (18)   ~ (all_14_14 = e13)
% 245.62/49.59    (19)  op1(e12, e12) = all_14_12
% 245.62/49.59    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.59    (21)  op1(e10, e12) = all_14_14
% 245.62/49.59    (22)   ~ (e14 = e12)
% 245.62/49.59    (23)  all_25_17 = e13
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (11) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (24)  (all_25_4 = e13 & op1(e14, e12) = e13) | (all_25_5 = e13 & op1(e13,
% 245.62/49.59  | |             e12) = e13)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (24) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (25)  all_25_4 = e13 & op1(e14, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (25) implies:
% 245.62/49.59  | | |   (26)  all_25_4 = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | COMBINE_EQS: (4), (26) imply:
% 245.62/49.59  | | |   (27)  e13 = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | SIMP: (27) implies:
% 245.62/49.59  | | |   (28)  e13 = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | COMBINE_EQS: (23), (28) imply:
% 245.62/49.59  | | |   (29)  all_25_17 = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (12), (13), (14), (15),
% 245.62/49.59  | | |            (16), (20), (22), (29) are inconsistent by sub-proof #1277.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (30)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (30) implies:
% 245.62/49.59  | | |   (31)  op1(e13, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (8), (12), (14), (31) are inconsistent by sub-proof #1334.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (32)  (all_25_8 = e13 & op1(e12, e12) = e13) | (all_25_14 = e13 & op1(e11,
% 245.62/49.59  | |             e12) = e13) | (all_25_22 = e13 & op1(e10, e12) = e13)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (32) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (33)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (5), (12), (19), (33) are inconsistent by sub-proof #1245.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (34)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 &
% 245.62/49.59  | | |           op1(e10, e12) = e13)
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (9), (12), (17), (18), (21), (34) are inconsistent by sub-proof
% 245.62/49.59  | | |            #1243.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1243 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  op1(e11, e12) = all_14_13
% 245.62/49.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (3)   ~ (all_14_13 = e13)
% 245.62/49.59    (4)   ~ (all_14_14 = e13)
% 245.62/49.59    (5)  (all_25_14 = e13 & op1(e11, e12) = e13) | (all_25_22 = e13 & op1(e10,
% 245.62/49.59             e12) = e13)
% 245.62/49.59    (6)  op1(e10, e12) = all_14_14
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (5) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (7)  all_25_14 = e13 & op1(e11, e12) = e13
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1244.
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (8)  all_25_22 = e13 & op1(e10, e12) = e13
% 245.62/49.59  | | 
% 245.62/49.59  | | ALPHA: (8) implies:
% 245.62/49.59  | |   (9)  op1(e10, e12) = e13
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1254.
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1244 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_14 = e13 & op1(e11, e12) = e13
% 245.62/49.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (3)  op1(e11, e12) = all_14_13
% 245.62/49.59    (4)   ~ (all_14_13 = e13)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (5)  op1(e11, e12) = e13
% 245.62/49.59  | 
% 245.62/49.59  | GROUND_INST: instantiating (2) with all_14_13, e13, e12, e11, simplifying with
% 245.62/49.59  |              (3), (5) gives:
% 245.62/49.59  |   (6)  all_14_13 = e13
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (4), (6) imply:
% 245.62/49.59  |   (7)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (7) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1245 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)  all_25_8 = e13 & op1(e12, e12) = e13
% 245.62/49.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (3)  op1(e12, e12) = all_14_12
% 245.62/49.59    (4)   ~ (all_14_12 = e13)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (1) implies:
% 245.62/49.59  |   (5)  op1(e12, e12) = e13
% 245.62/49.59  | 
% 245.62/49.59  | GROUND_INST: instantiating (2) with all_14_12, e13, e12, e12, simplifying with
% 245.62/49.59  |              (3), (5) gives:
% 245.62/49.59  |   (6)  all_14_12 = e13
% 245.62/49.59  | 
% 245.62/49.59  | REDUCE: (4), (6) imply:
% 245.62/49.59  |   (7)  $false
% 245.62/49.59  | 
% 245.62/49.59  | CLOSE: (7) is inconsistent.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1246 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (e14 = e10)
% 245.62/49.59    (2)  all_25_2 = e12
% 245.62/49.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.59    (4)   ~ (e14 = e11)
% 245.62/49.59    (5)  all_25_3 = e11
% 245.62/49.59    (6)   ~ (e13 = e10)
% 245.62/49.59    (7)   ~ (e14 = e13)
% 245.62/49.59    (8)  all_25_0 = e13
% 245.62/49.59    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (10)   ~ (e13 = e11)
% 245.62/49.59    (11)  op1(e13, e12) = e10
% 245.62/49.59    (12)   ~ (e13 = e12)
% 245.62/49.59    (13)  op1(e13, e13) = e11
% 245.62/49.59    (14)  all_25_0 = e10 & op1(e14, e14) = e10
% 245.62/49.59    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.59    (16)   ~ (e14 = e12)
% 245.62/49.59    (17)  all_25_17 = e13
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (14) implies:
% 245.62/49.59  |   (18)  all_25_0 = e10
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (8), (18) imply:
% 245.62/49.59  |   (19)  e13 = e10
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (17), (19) imply:
% 245.62/49.59  |   (20)  all_25_17 = e10
% 245.62/49.59  | 
% 245.62/49.59  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 245.62/49.59  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1247 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (e14 = e10)
% 245.62/49.59    (2)  all_25_2 = e12
% 245.62/49.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.59    (4)  all_25_1 = e12
% 245.62/49.59    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.59           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.59           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.59    (6)   ~ (e12 = e11)
% 245.62/49.59    (7)   ~ (e14 = e11)
% 245.62/49.59    (8)  all_25_3 = e11
% 245.62/49.59    (9)  op1(e10, e13) = e13
% 245.62/49.59    (10)   ~ (e13 = e10)
% 245.62/49.59    (11)   ~ (e14 = e13)
% 245.62/49.59    (12)  all_25_21 = e13
% 245.62/49.59    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (14)   ~ (e13 = e11)
% 245.62/49.59    (15)  op1(e13, e12) = e10
% 245.62/49.59    (16)   ~ (e11 = e10)
% 245.62/49.59    (17)   ~ (e13 = e12)
% 245.62/49.59    (18)  op1(e13, e13) = e11
% 245.62/49.59    (19)   ~ (e12 = e10)
% 245.62/49.59    (20)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.59            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.59            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.59    (21)  all_25_13 = e13
% 245.62/49.59    (22)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.62/49.59            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.62/49.59            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.59    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.59    (24)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.59    (25)   ~ (e14 = e12)
% 245.62/49.59    (26)  all_25_17 = e13
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (22) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (27)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.62/49.59  | |             e13) = e10)
% 245.62/49.59  | | 
% 245.62/49.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (13), (14), (15),
% 245.62/49.59  | |            (16), (17), (18), (19), (20), (23), (25), (27) are inconsistent
% 245.62/49.59  | |            by sub-proof #1279.
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (28)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.62/49.59  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (28) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (29)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (29) implies:
% 245.62/49.59  | | |   (30)  all_25_7 = e10
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (1), (4), (7), (8), (9), (11), (13), (21), (24), (25), (30) are
% 245.62/49.59  | | |            inconsistent by sub-proof #1249.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (31)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.62/49.59  | | |           op1(e10, e13) = e10)
% 245.62/49.59  | | | 
% 245.62/49.59  | | | BETA: splitting (31) gives:
% 245.62/49.59  | | | 
% 245.62/49.59  | | | Case 1:
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | |   (32)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (13), (14), (15), (17),
% 245.62/49.59  | | | |            (18), (21), (23), (25), (26), (32) are inconsistent by
% 245.62/49.59  | | | |            sub-proof #1248.
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | Case 2:
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | |   (33)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (12), (13), (14), (15),
% 245.62/49.59  | | | |            (17), (18), (23), (25), (26), (33) are inconsistent by
% 245.62/49.59  | | | |            sub-proof #1256.
% 245.62/49.59  | | | | 
% 245.62/49.59  | | | End of split
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1248 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (e14 = e10)
% 245.62/49.59    (2)  all_25_2 = e12
% 245.62/49.59    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.59           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.59           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.59    (4)   ~ (e14 = e11)
% 245.62/49.59    (5)  all_25_3 = e11
% 245.62/49.59    (6)   ~ (e13 = e10)
% 245.62/49.59    (7)   ~ (e14 = e13)
% 245.62/49.59    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (9)   ~ (e13 = e11)
% 245.62/49.59    (10)  op1(e13, e12) = e10
% 245.62/49.59    (11)   ~ (e13 = e12)
% 245.62/49.59    (12)  op1(e13, e13) = e11
% 245.62/49.59    (13)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.62/49.59    (14)  all_25_13 = e13
% 245.62/49.59    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.59            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.59    (16)   ~ (e14 = e12)
% 245.62/49.59    (17)  all_25_17 = e13
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | ALPHA: (13) implies:
% 245.62/49.59  |   (18)  all_25_13 = e10
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (14), (18) imply:
% 245.62/49.59  |   (19)  e13 = e10
% 245.62/49.59  | 
% 245.62/49.59  | SIMP: (19) implies:
% 245.62/49.59  |   (20)  e13 = e10
% 245.62/49.59  | 
% 245.62/49.59  | COMBINE_EQS: (17), (20) imply:
% 245.62/49.59  |   (21)  all_25_17 = e10
% 245.62/49.59  | 
% 245.62/49.59  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.62/49.59  |            (15), (16), (21) are inconsistent by sub-proof #1277.
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1249 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.59    (1)   ~ (e14 = e10)
% 245.62/49.59    (2)  all_25_1 = e12
% 245.62/49.59    (3)   ~ (e14 = e11)
% 245.62/49.59    (4)  all_25_3 = e11
% 245.62/49.59    (5)  op1(e10, e13) = e13
% 245.62/49.59    (6)   ~ (e14 = e13)
% 245.62/49.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.59           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.59    (8)  all_25_7 = e10
% 245.62/49.59    (9)  all_25_13 = e13
% 245.62/49.59    (10)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.59            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.59            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.59    (11)   ~ (e14 = e12)
% 245.62/49.59  
% 245.62/49.59  Begin of proof
% 245.62/49.59  | 
% 245.62/49.59  | BETA: splitting (10) gives:
% 245.62/49.59  | 
% 245.62/49.59  | Case 1:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.62/49.59  | |             e13) = e14)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (12) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (13)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (2), (11), (13) are inconsistent by sub-proof #1292.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (14)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #1291.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | Case 2:
% 245.62/49.59  | | 
% 245.62/49.59  | |   (15)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.62/49.59  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.59  | | 
% 245.62/49.59  | | BETA: splitting (15) gives:
% 245.62/49.59  | | 
% 245.62/49.59  | | Case 1:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (16)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | ALPHA: (16) implies:
% 245.62/49.59  | | |   (17)  all_25_7 = e14
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (1), (8), (17) are inconsistent by sub-proof #1251.
% 245.62/49.59  | | | 
% 245.62/49.59  | | Case 2:
% 245.62/49.59  | | | 
% 245.62/49.59  | | |   (18)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.62/49.59  | | |           op1(e10, e13) = e14)
% 245.62/49.59  | | | 
% 245.62/49.59  | | | REF_CLOSE: (5), (6), (7), (9), (18) are inconsistent by sub-proof #1250.
% 245.62/49.59  | | | 
% 245.62/49.59  | | End of split
% 245.62/49.59  | | 
% 245.62/49.59  | End of split
% 245.62/49.59  | 
% 245.62/49.59  End of proof
% 245.62/49.59  
% 245.62/49.59  Sub-proof #1250 shows that the following formulas are inconsistent:
% 245.62/49.59  ----------------------------------------------------------------
% 245.62/49.60    (1)  op1(e10, e13) = e13
% 245.62/49.60    (2)   ~ (e14 = e13)
% 245.62/49.60    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (4)  all_25_13 = e13
% 245.62/49.60    (5)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10,
% 245.62/49.60             e13) = e14)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (5) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (6)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1271.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (7)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.60  | | 
% 245.62/49.60  | | ALPHA: (7) implies:
% 245.62/49.60  | |   (8)  op1(e10, e13) = e14
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1274.
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1251 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_7 = e14
% 245.62/49.60    (2)  all_25_7 = e10
% 245.62/49.60    (3)   ~ (e14 = e10)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (1), (2) imply:
% 245.62/49.60  |   (4)  e14 = e10
% 245.62/49.60  | 
% 245.62/49.60  | SIMP: (4) implies:
% 245.62/49.60  |   (5)  e14 = e10
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (3), (5) imply:
% 245.62/49.60  |   (6)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (6) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1252 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  (all_25_22 = e13 & op1(e10, e12) = e13) | (all_25_23 = e13 & op1(e10,
% 245.62/49.60             e11) = e13) | (all_25_24 = e13 & op1(e10, e10) = e13)
% 245.62/49.60    (2)   ~ (e14 = e10)
% 245.62/49.60    (3)  all_25_2 = e12
% 245.62/49.60    (4)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (5)  all_25_24 = e10
% 245.62/49.60    (6)   ~ (e14 = e11)
% 245.62/49.60    (7)  all_25_3 = e11
% 245.62/49.60    (8)   ~ (e13 = e10)
% 245.62/49.60    (9)   ~ (e14 = e13)
% 245.62/49.60    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (11)   ~ (e13 = e11)
% 245.62/49.60    (12)  op1(e13, e12) = e10
% 245.62/49.60    (13)   ~ (e13 = e12)
% 245.62/49.60    (14)  op1(e13, e13) = e11
% 245.62/49.60    (15)   ~ (all_14_14 = e13)
% 245.62/49.60    (16)   ~ (all_14_19 = e13)
% 245.62/49.60    (17)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (18)  op1(e10, e11) = all_14_19
% 245.62/49.60    (19)  op1(e10, e12) = all_14_14
% 245.62/49.60    (20)   ~ (e14 = e12)
% 245.62/49.60    (21)  all_25_17 = e13
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (1) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (22)  all_25_22 = e13 & op1(e10, e12) = e13
% 245.62/49.60  | | 
% 245.62/49.60  | | ALPHA: (22) implies:
% 245.62/49.60  | |   (23)  op1(e10, e12) = e13
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (10), (15), (19), (23) are inconsistent by sub-proof #1254.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (24)  (all_25_23 = e13 & op1(e10, e11) = e13) | (all_25_24 = e13 &
% 245.62/49.60  | |           op1(e10, e10) = e13)
% 245.62/49.60  | | 
% 245.62/49.60  | | BETA: splitting (24) gives:
% 245.62/49.60  | | 
% 245.62/49.60  | | Case 1:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (25)  all_25_23 = e13 & op1(e10, e11) = e13
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REF_CLOSE: (10), (16), (18), (25) are inconsistent by sub-proof #1253.
% 245.62/49.60  | | | 
% 245.62/49.60  | | Case 2:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (26)  all_25_24 = e13 & op1(e10, e10) = e13
% 245.62/49.60  | | | 
% 245.62/49.60  | | | ALPHA: (26) implies:
% 245.62/49.60  | | |   (27)  all_25_24 = e13
% 245.62/49.60  | | | 
% 245.62/49.60  | | | COMBINE_EQS: (5), (27) imply:
% 245.62/49.60  | | |   (28)  e13 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | SIMP: (28) implies:
% 245.62/49.60  | | |   (29)  e13 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | COMBINE_EQS: (21), (29) imply:
% 245.62/49.60  | | |   (30)  all_25_17 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 245.62/49.60  | | |            (14), (17), (20), (30) are inconsistent by sub-proof #1277.
% 245.62/49.60  | | | 
% 245.62/49.60  | | End of split
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1253 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_23 = e13 & op1(e10, e11) = e13
% 245.62/49.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (3)  op1(e10, e11) = all_14_19
% 245.62/49.60    (4)   ~ (all_14_19 = e13)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (1) implies:
% 245.62/49.60  |   (5)  op1(e10, e11) = e13
% 245.62/49.60  | 
% 245.62/49.60  | GROUND_INST: instantiating (2) with all_14_19, e13, e11, e10, simplifying with
% 245.62/49.60  |              (3), (5) gives:
% 245.62/49.60  |   (6)  all_14_19 = e13
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (4), (6) imply:
% 245.62/49.60  |   (7)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (7) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1254 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (2)  op1(e10, e12) = all_14_14
% 245.62/49.60    (3)  op1(e10, e12) = e13
% 245.62/49.60    (4)   ~ (all_14_14 = e13)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | GROUND_INST: instantiating (1) with all_14_14, e13, e12, e10, simplifying with
% 245.62/49.60  |              (2), (3) gives:
% 245.62/49.60  |   (5)  all_14_14 = e13
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (4), (5) imply:
% 245.62/49.60  |   (6)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (6) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1255 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ~ (e14 = e10)
% 245.62/49.60    (2)  all_25_2 = e12
% 245.62/49.60    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (4)  all_25_1 = e12
% 245.62/49.60    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.60           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.60           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.60    (6)   ~ (e12 = e11)
% 245.62/49.60    (7)   ~ (e14 = e11)
% 245.62/49.60    (8)  all_25_3 = e11
% 245.62/49.60    (9)  op1(e10, e13) = e13
% 245.62/49.60    (10)   ~ (e13 = e10)
% 245.62/49.60    (11)   ~ (e14 = e13)
% 245.62/49.60    (12)  all_25_7 = e13
% 245.62/49.60    (13)  all_25_21 = e13
% 245.62/49.60    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (15)   ~ (e13 = e11)
% 245.62/49.60    (16)  op1(e13, e12) = e10
% 245.62/49.60    (17)   ~ (e11 = e10)
% 245.62/49.60    (18)   ~ (e13 = e12)
% 245.62/49.60    (19)  op1(e13, e13) = e11
% 245.62/49.60    (20)   ~ (e12 = e10)
% 245.62/49.60    (21)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.60            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.60            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.60    (22)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.62/49.60            = e10) | (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 &
% 245.62/49.60            op1(e11, e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.60    (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (24)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.60            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.60    (25)   ~ (e14 = e12)
% 245.62/49.60    (26)  all_25_17 = e13
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (22) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (27)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13,
% 245.62/49.60  | |             e13) = e10)
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (14), (15), (16),
% 245.62/49.60  | |            (17), (18), (19), (20), (21), (23), (25), (27) are inconsistent
% 245.62/49.60  | |            by sub-proof #1279.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (28)  (all_25_7 = e10 & op1(e12, e13) = e10) | (all_25_13 = e10 & op1(e11,
% 245.62/49.60  | |             e13) = e10) | (all_25_21 = e10 & op1(e10, e13) = e10)
% 245.62/49.60  | | 
% 245.62/49.60  | | BETA: splitting (28) gives:
% 245.62/49.60  | | 
% 245.62/49.60  | | Case 1:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (29)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (12), (14), (15), (16),
% 245.62/49.60  | | |            (18), (19), (23), (25), (26), (29) are inconsistent by
% 245.62/49.60  | | |            sub-proof #1276.
% 245.62/49.60  | | | 
% 245.62/49.60  | | Case 2:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (30)  (all_25_13 = e10 & op1(e11, e13) = e10) | (all_25_21 = e10 &
% 245.62/49.60  | | |           op1(e10, e13) = e10)
% 245.62/49.60  | | | 
% 245.62/49.60  | | | BETA: splitting (30) gives:
% 245.62/49.60  | | | 
% 245.62/49.60  | | | Case 1:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (31)  all_25_13 = e10 & op1(e11, e13) = e10
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | ALPHA: (31) implies:
% 245.62/49.60  | | | |   (32)  all_25_13 = e10
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REF_CLOSE: (1), (4), (7), (8), (9), (11), (12), (14), (24), (25), (32)
% 245.62/49.60  | | | |            are inconsistent by sub-proof #1272.
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | Case 2:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (33)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (13), (14), (15), (16),
% 245.62/49.60  | | | |            (18), (19), (23), (25), (26), (33) are inconsistent by
% 245.62/49.60  | | | |            sub-proof #1256.
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | End of split
% 245.62/49.60  | | | 
% 245.62/49.60  | | End of split
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1256 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ~ (e14 = e10)
% 245.62/49.60    (2)  all_25_2 = e12
% 245.62/49.60    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (4)   ~ (e14 = e11)
% 245.62/49.60    (5)  all_25_3 = e11
% 245.62/49.60    (6)   ~ (e13 = e10)
% 245.62/49.60    (7)   ~ (e14 = e13)
% 245.62/49.60    (8)  all_25_21 = e13
% 245.62/49.60    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (10)   ~ (e13 = e11)
% 245.62/49.60    (11)  op1(e13, e12) = e10
% 245.62/49.60    (12)   ~ (e13 = e12)
% 245.62/49.60    (13)  op1(e13, e13) = e11
% 245.62/49.60    (14)  all_25_21 = e10 & op1(e10, e13) = e10
% 245.62/49.60    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (16)   ~ (e14 = e12)
% 245.62/49.60    (17)  all_25_17 = e13
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (14) implies:
% 245.62/49.60  |   (18)  all_25_21 = e10
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (8), (18) imply:
% 245.62/49.60  |   (19)  e13 = e10
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (17), (19) imply:
% 245.62/49.60  |   (20)  all_25_17 = e10
% 245.62/49.60  | 
% 245.62/49.60  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 245.62/49.60  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1257 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (2)  op1(e10, e11) = all_14_19
% 245.62/49.60    (3)  op1(e10, e11) = e14
% 245.62/49.60    (4)   ~ (all_14_19 = e14)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | GROUND_INST: instantiating (1) with all_14_19, e14, e11, e10, simplifying with
% 245.62/49.60  |              (2), (3) gives:
% 245.62/49.60  |   (5)  all_14_19 = e14
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (4), (5) imply:
% 245.62/49.60  |   (6)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (6) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1258 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 & op1(e10,
% 245.62/49.60             e13) = e11) | (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 =
% 245.62/49.60           e11 & op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.60    (2)   ~ (e14 = e10)
% 245.62/49.60    (3)  op1(e10, e13) = all_14_9
% 245.62/49.60    (4)  all_25_2 = e12
% 245.62/49.60    (5)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (6)  all_25_24 = e10
% 245.62/49.60    (7)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.60           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.60           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.60    (8)   ~ (e12 = e11)
% 245.62/49.60    (9)   ~ (e14 = e11)
% 245.62/49.60    (10)   ~ (e13 = e10)
% 245.62/49.60    (11)   ~ (e14 = e13)
% 245.62/49.60    (12)  op1(e13, unit1) = e13
% 245.62/49.60    (13)  all_25_22 = e14 & op1(e10, e12) = e14
% 245.62/49.60    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (15)   ~ (e13 = e11)
% 245.62/49.60    (16)  op1(e13, e12) = e10
% 245.62/49.60    (17)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.62/49.60              e13) = e12) | (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 =
% 245.62/49.60            e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) = e12)
% 245.62/49.60    (18)   ~ (e11 = e10)
% 245.62/49.60    (19)   ~ (e13 = e12)
% 245.62/49.60    (20)  op1(e13, e13) = e11
% 245.62/49.60    (21)   ~ (e12 = e10)
% 245.62/49.60    (22)   ~ (all_14_9 = e12)
% 245.62/49.60    (23)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.60            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.60            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.60    (24)  all_25_20 = e13
% 245.62/49.60    (25)  op1(e10, unit1) = e10
% 245.62/49.60    (26)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.60    (27)  op1(e14, e12) = all_14_10
% 245.62/49.60    (28)   ~ (all_14_10 = e12)
% 245.62/49.60    (29)   ~ (all_14_19 = e10)
% 245.62/49.60    (30)  op1(unit1, e12) = e12
% 245.62/49.60    (31)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (32)  op1(e10, e11) = all_14_19
% 245.62/49.60    (33)   ~ (e14 = e12)
% 245.62/49.60    (34)  all_25_21 = e10
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (13) implies:
% 245.62/49.60  |   (35)  all_25_22 = e14
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (1) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (36)  (all_25_20 = e11 & op1(e10, e14) = e11) | (all_25_21 = e11 &
% 245.62/49.60  | |           op1(e10, e13) = e11)
% 245.62/49.60  | | 
% 245.62/49.60  | | BETA: splitting (36) gives:
% 245.62/49.60  | | 
% 245.62/49.60  | | Case 1:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (37)  all_25_20 = e11 & op1(e10, e14) = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | ALPHA: (37) implies:
% 245.62/49.60  | | |   (38)  all_25_20 = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | COMBINE_EQS: (24), (38) imply:
% 245.62/49.60  | | |   (39)  e13 = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REDUCE: (15), (39) imply:
% 245.62/49.60  | | |   (40)  $false
% 245.62/49.60  | | | 
% 245.62/49.60  | | | CLOSE: (40) is inconsistent.
% 245.62/49.60  | | | 
% 245.62/49.60  | | Case 2:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (41)  all_25_21 = e11 & op1(e10, e13) = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | ALPHA: (41) implies:
% 245.62/49.60  | | |   (42)  all_25_21 = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | COMBINE_EQS: (34), (42) imply:
% 245.62/49.60  | | |   (43)  e11 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | SIMP: (43) implies:
% 245.62/49.60  | | |   (44)  e11 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REDUCE: (18), (44) imply:
% 245.62/49.60  | | |   (45)  $false
% 245.62/49.60  | | | 
% 245.62/49.60  | | | CLOSE: (45) is inconsistent.
% 245.62/49.60  | | | 
% 245.62/49.60  | | End of split
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (46)  (all_25_22 = e11 & op1(e10, e12) = e11) | (all_25_23 = e11 &
% 245.62/49.60  | |           op1(e10, e11) = e11) | (all_25_24 = e11 & op1(e10, e10) = e11)
% 245.62/49.60  | | 
% 245.62/49.60  | | BETA: splitting (46) gives:
% 245.62/49.60  | | 
% 245.62/49.60  | | Case 1:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (47)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REF_CLOSE: (8), (10), (12), (14), (16), (25), (26), (27), (28), (29),
% 245.62/49.60  | | |            (30), (32), (47) are inconsistent by sub-proof #1266.
% 245.62/49.60  | | | 
% 245.62/49.60  | | Case 2:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (48)  (all_25_23 = e11 & op1(e10, e11) = e11) | (all_25_24 = e11 &
% 245.62/49.60  | | |           op1(e10, e10) = e11)
% 245.62/49.60  | | | 
% 245.62/49.60  | | | BETA: splitting (48) gives:
% 245.62/49.60  | | | 
% 245.62/49.60  | | | Case 1:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (49)  all_25_23 = e11 & op1(e10, e11) = e11
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | ALPHA: (49) implies:
% 245.62/49.60  | | | |   (50)  all_25_23 = e11
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | BETA: splitting (17) gives:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | Case 1:
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | |   (51)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 &
% 245.62/49.60  | | | | |           op1(e10, e13) = e12)
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | | REF_CLOSE: (3), (14), (19), (22), (24), (51) are inconsistent by
% 245.62/49.60  | | | | |            sub-proof #1264.
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | Case 2:
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | |   (52)  (all_25_22 = e12 & op1(e10, e12) = e12) | (all_25_23 = e12 &
% 245.62/49.60  | | | | |           op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10, e10) =
% 245.62/49.60  | | | | |           e12)
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | | BETA: splitting (52) gives:
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | | Case 1:
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | |   (53)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | | REF_CLOSE: (33), (35), (53) are inconsistent by sub-proof #1263.
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | Case 2:
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | |   (54)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 &
% 245.62/49.60  | | | | | |           op1(e10, e10) = e12)
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 245.62/49.60  | | | | | |            (15), (16), (18), (19), (20), (21), (23), (31), (33),
% 245.62/49.60  | | | | | |            (50), (54) are inconsistent by sub-proof #1260.
% 245.62/49.60  | | | | | | 
% 245.62/49.60  | | | | | End of split
% 245.62/49.60  | | | | | 
% 245.62/49.60  | | | | End of split
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | Case 2:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (55)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REF_CLOSE: (6), (18), (55) are inconsistent by sub-proof #1259.
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | End of split
% 245.62/49.60  | | | 
% 245.62/49.60  | | End of split
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1259 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_24 = e11 & op1(e10, e10) = e11
% 245.62/49.60    (2)  all_25_24 = e10
% 245.62/49.60    (3)   ~ (e11 = e10)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (1) implies:
% 245.62/49.60  |   (4)  all_25_24 = e11
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.60  |   (5)  e11 = e10
% 245.62/49.60  | 
% 245.62/49.60  | SIMP: (5) implies:
% 245.62/49.60  |   (6)  e11 = e10
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (3), (6) imply:
% 245.62/49.60  |   (7)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (7) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1260 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ~ (e14 = e10)
% 245.62/49.60    (2)  all_25_2 = e12
% 245.62/49.60    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (4)  all_25_24 = e10
% 245.62/49.60    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.60           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.60           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.60    (6)   ~ (e12 = e11)
% 245.62/49.60    (7)   ~ (e14 = e11)
% 245.62/49.60    (8)   ~ (e13 = e10)
% 245.62/49.60    (9)   ~ (e14 = e13)
% 245.62/49.60    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (11)   ~ (e13 = e11)
% 245.62/49.60    (12)  op1(e13, e12) = e10
% 245.62/49.60    (13)  all_25_23 = e11
% 245.62/49.60    (14)   ~ (e11 = e10)
% 245.62/49.60    (15)  (all_25_23 = e12 & op1(e10, e11) = e12) | (all_25_24 = e12 & op1(e10,
% 245.62/49.60              e10) = e12)
% 245.62/49.60    (16)   ~ (e13 = e12)
% 245.62/49.60    (17)  op1(e13, e13) = e11
% 245.62/49.60    (18)   ~ (e12 = e10)
% 245.62/49.60    (19)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.60            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.60            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.60    (20)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (21)   ~ (e14 = e12)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (15) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (22)  all_25_23 = e12 & op1(e10, e11) = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | ALPHA: (22) implies:
% 245.62/49.60  | |   (23)  all_25_23 = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (6), (13), (23) are inconsistent by sub-proof #1262.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (24)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 245.62/49.60  | |            (14), (16), (17), (18), (19), (20), (21), (24) are inconsistent
% 245.62/49.60  | |            by sub-proof #1261.
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1261 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)   ~ (e14 = e10)
% 245.62/49.60    (2)  all_25_2 = e12
% 245.62/49.60    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.62/49.60           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.62/49.60           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.62/49.60    (4)  all_25_24 = e10
% 245.62/49.60    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.62/49.60           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.62/49.60           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.62/49.60    (6)   ~ (e12 = e11)
% 245.62/49.60    (7)   ~ (e14 = e11)
% 245.62/49.60    (8)   ~ (e13 = e10)
% 245.62/49.60    (9)   ~ (e14 = e13)
% 245.62/49.60    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (11)   ~ (e13 = e11)
% 245.62/49.60    (12)  op1(e13, e12) = e10
% 245.62/49.60    (13)   ~ (e11 = e10)
% 245.62/49.60    (14)   ~ (e13 = e12)
% 245.62/49.60    (15)  op1(e13, e13) = e11
% 245.62/49.60    (16)   ~ (e12 = e10)
% 245.62/49.60    (17)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.62/49.60            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.62/49.60            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.62/49.60    (18)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.60            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.62/49.60            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.62/49.60    (19)   ~ (e14 = e12)
% 245.62/49.60    (20)  all_25_24 = e12 & op1(e10, e10) = e12
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (20) implies:
% 245.62/49.60  |   (21)  all_25_24 = e12
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (4), (21) imply:
% 245.62/49.60  |   (22)  e12 = e10
% 245.62/49.60  | 
% 245.62/49.60  | SIMP: (22) implies:
% 245.62/49.60  |   (23)  e12 = e10
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (2), (23) imply:
% 245.62/49.60  |   (24)  all_25_2 = e10
% 245.62/49.60  | 
% 245.62/49.60  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 245.62/49.60  |            (15), (16), (17), (18), (19), (24) are inconsistent by sub-proof
% 245.62/49.60  |            #1281.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1262 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_23 = e12
% 245.62/49.60    (2)  all_25_23 = e11
% 245.62/49.60    (3)   ~ (e12 = e11)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (1), (2) imply:
% 245.62/49.60  |   (4)  e12 = e11
% 245.62/49.60  | 
% 245.62/49.60  | SIMP: (4) implies:
% 245.62/49.60  |   (5)  e12 = e11
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (3), (5) imply:
% 245.62/49.60  |   (6)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (6) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1263 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_22 = e12 & op1(e10, e12) = e12
% 245.62/49.60    (2)  all_25_22 = e14
% 245.62/49.60    (3)   ~ (e14 = e12)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (1) implies:
% 245.62/49.60  |   (4)  all_25_22 = e12
% 245.62/49.60  | 
% 245.62/49.60  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.60  |   (5)  e14 = e12
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (3), (5) imply:
% 245.62/49.60  |   (6)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (6) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1264 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  op1(e10, e13) = all_14_9
% 245.62/49.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (3)   ~ (e13 = e12)
% 245.62/49.60    (4)   ~ (all_14_9 = e12)
% 245.62/49.60    (5)  all_25_20 = e13
% 245.62/49.60    (6)  (all_25_20 = e12 & op1(e10, e14) = e12) | (all_25_21 = e12 & op1(e10,
% 245.62/49.60             e13) = e12)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (6) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (7)  all_25_20 = e12 & op1(e10, e14) = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | ALPHA: (7) implies:
% 245.62/49.60  | |   (8)  all_25_20 = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | COMBINE_EQS: (5), (8) imply:
% 245.62/49.60  | |   (9)  e13 = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | REDUCE: (3), (9) imply:
% 245.62/49.60  | |   (10)  $false
% 245.62/49.60  | | 
% 245.62/49.60  | | CLOSE: (10) is inconsistent.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (11)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (1), (2), (4), (11) are inconsistent by sub-proof #1265.
% 245.62/49.60  | | 
% 245.62/49.60  | End of split
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1265 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_21 = e12 & op1(e10, e13) = e12
% 245.62/49.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (3)  op1(e10, e13) = all_14_9
% 245.62/49.60    (4)   ~ (all_14_9 = e12)
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (1) implies:
% 245.62/49.60  |   (5)  op1(e10, e13) = e12
% 245.62/49.60  | 
% 245.62/49.60  | GROUND_INST: instantiating (2) with all_14_9, e12, e13, e10, simplifying with
% 245.62/49.60  |              (3), (5) gives:
% 245.62/49.60  |   (6)  all_14_9 = e12
% 245.62/49.60  | 
% 245.62/49.60  | REDUCE: (4), (6) imply:
% 245.62/49.60  |   (7)  $false
% 245.62/49.60  | 
% 245.62/49.60  | CLOSE: (7) is inconsistent.
% 245.62/49.60  | 
% 245.62/49.60  End of proof
% 245.62/49.60  
% 245.62/49.60  Sub-proof #1266 shows that the following formulas are inconsistent:
% 245.62/49.60  ----------------------------------------------------------------
% 245.62/49.60    (1)  all_25_22 = e11 & op1(e10, e12) = e11
% 245.62/49.60    (2)   ~ (e12 = e11)
% 245.62/49.60    (3)   ~ (e13 = e10)
% 245.62/49.60    (4)  op1(e13, unit1) = e13
% 245.62/49.60    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.60           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.60    (6)  op1(e13, e12) = e10
% 245.62/49.60    (7)  op1(e10, unit1) = e10
% 245.62/49.60    (8)  unit1 = e14 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.60    (9)  op1(e14, e12) = all_14_10
% 245.62/49.60    (10)   ~ (all_14_10 = e12)
% 245.62/49.60    (11)   ~ (all_14_19 = e10)
% 245.62/49.60    (12)  op1(unit1, e12) = e12
% 245.62/49.60    (13)  op1(e10, e11) = all_14_19
% 245.62/49.60  
% 245.62/49.60  Begin of proof
% 245.62/49.60  | 
% 245.62/49.60  | ALPHA: (1) implies:
% 245.62/49.60  |   (14)  op1(e10, e12) = e11
% 245.62/49.60  | 
% 245.62/49.60  | BETA: splitting (8) gives:
% 245.62/49.60  | 
% 245.62/49.60  | Case 1:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (15)  unit1 = e14
% 245.62/49.60  | | 
% 245.62/49.60  | | REDUCE: (12), (15) imply:
% 245.62/49.60  | |   (16)  op1(e14, e12) = e12
% 245.62/49.60  | | 
% 245.62/49.60  | | REF_CLOSE: (5), (9), (10), (16) are inconsistent by sub-proof #1268.
% 245.62/49.60  | | 
% 245.62/49.60  | Case 2:
% 245.62/49.60  | | 
% 245.62/49.60  | |   (17)  unit1 = e12 | unit1 = e11 | unit1 = e10
% 245.62/49.60  | | 
% 245.62/49.60  | | BETA: splitting (17) gives:
% 245.62/49.60  | | 
% 245.62/49.60  | | Case 1:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (18)  unit1 = e12
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REDUCE: (4), (18) imply:
% 245.62/49.60  | | |   (19)  op1(e13, e12) = e13
% 245.62/49.60  | | | 
% 245.62/49.60  | | | REF_CLOSE: (3), (5), (6), (19) are inconsistent by sub-proof #1334.
% 245.62/49.60  | | | 
% 245.62/49.60  | | Case 2:
% 245.62/49.60  | | | 
% 245.62/49.60  | | |   (20)  unit1 = e11 | unit1 = e10
% 245.62/49.60  | | | 
% 245.62/49.60  | | | BETA: splitting (20) gives:
% 245.62/49.60  | | | 
% 245.62/49.60  | | | Case 1:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (21)  unit1 = e11
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REDUCE: (7), (21) imply:
% 245.62/49.60  | | | |   (22)  op1(e10, e11) = e10
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REF_CLOSE: (5), (11), (13), (22) are inconsistent by sub-proof #1267.
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | Case 2:
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | |   (23)  unit1 = e10
% 245.62/49.60  | | | | 
% 245.62/49.60  | | | | REDUCE: (12), (23) imply:
% 245.62/49.60  | | | |   (24)  op1(e10, e12) = e12
% 245.62/49.60  | | | | 
% 245.62/49.61  | | | | GROUND_INST: instantiating (5) with e11, e12, e12, e10, simplifying with
% 245.62/49.61  | | | |              (14), (24) gives:
% 245.62/49.61  | | | |   (25)  e12 = e11
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | REDUCE: (2), (25) imply:
% 245.62/49.61  | | | |   (26)  $false
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | CLOSE: (26) is inconsistent.
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | End of split
% 245.62/49.61  | | | 
% 245.62/49.61  | | End of split
% 245.62/49.61  | | 
% 245.62/49.61  | End of split
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1267 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.61    (2)  op1(e10, e11) = all_14_19
% 245.62/49.61    (3)  op1(e10, e11) = e10
% 245.62/49.61    (4)   ~ (all_14_19 = e10)
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | GROUND_INST: instantiating (1) with all_14_19, e10, e11, e10, simplifying with
% 245.62/49.61  |              (2), (3) gives:
% 245.62/49.61  |   (5)  all_14_19 = e10
% 245.62/49.61  | 
% 245.62/49.61  | REDUCE: (4), (5) imply:
% 245.62/49.61  |   (6)  $false
% 245.62/49.61  | 
% 245.62/49.61  | CLOSE: (6) is inconsistent.
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1268 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.61    (2)  op1(e14, e12) = all_14_10
% 245.62/49.61    (3)  op1(e14, e12) = e12
% 245.62/49.61    (4)   ~ (all_14_10 = e12)
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | GROUND_INST: instantiating (1) with all_14_10, e12, e12, e14, simplifying with
% 245.62/49.61  |              (2), (3) gives:
% 245.62/49.61  |   (5)  all_14_10 = e12
% 245.62/49.61  | 
% 245.62/49.61  | REDUCE: (4), (5) imply:
% 245.62/49.61  |   (6)  $false
% 245.62/49.61  | 
% 245.62/49.61  | CLOSE: (6) is inconsistent.
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1269 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.61    (3)  op1(e10, e13) = e10
% 245.62/49.61    (4)   ~ (e14 = e10)
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | ALPHA: (1) implies:
% 245.62/49.61  |   (5)  op1(e10, e13) = e14
% 245.62/49.61  | 
% 245.62/49.61  | GROUND_INST: instantiating (2) with e10, e14, e13, e10, simplifying with (3),
% 245.62/49.61  |              (5) gives:
% 245.62/49.61  |   (6)  e14 = e10
% 245.62/49.61  | 
% 245.62/49.61  | REDUCE: (4), (6) imply:
% 245.62/49.61  |   (7)  $false
% 245.62/49.61  | 
% 245.62/49.61  | CLOSE: (7) is inconsistent.
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1270 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)   ~ (e14 = e10)
% 245.62/49.61    (2)  all_25_1 = e12
% 245.62/49.61    (3)   ~ (e14 = e11)
% 245.62/49.61    (4)  all_25_3 = e11
% 245.62/49.61    (5)   ~ (e14 = e13)
% 245.62/49.61    (6)  all_25_7 = e13
% 245.62/49.61    (7)  all_25_13 = e13
% 245.62/49.61    (8)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.61           = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.61           op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.61    (9)   ~ (e14 = e12)
% 245.62/49.61    (10)  all_25_21 = e10
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | BETA: splitting (8) gives:
% 245.62/49.61  | 
% 245.62/49.61  | Case 1:
% 245.62/49.61  | | 
% 245.62/49.61  | |   (11)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.62/49.61  | |             e13) = e14)
% 245.62/49.61  | | 
% 245.62/49.61  | | BETA: splitting (11) gives:
% 245.62/49.61  | | 
% 245.62/49.61  | | Case 1:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (12)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.61  | | | 
% 245.62/49.61  | | | REF_CLOSE: (2), (9), (12) are inconsistent by sub-proof #1292.
% 245.62/49.61  | | | 
% 245.62/49.61  | | Case 2:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (13)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.62/49.61  | | | 
% 245.62/49.61  | | | REF_CLOSE: (3), (4), (13) are inconsistent by sub-proof #1291.
% 245.62/49.61  | | | 
% 245.62/49.61  | | End of split
% 245.62/49.61  | | 
% 245.62/49.61  | Case 2:
% 245.62/49.61  | | 
% 245.62/49.61  | |   (14)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.62/49.61  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.61  | | 
% 245.62/49.61  | | BETA: splitting (14) gives:
% 245.62/49.61  | | 
% 245.62/49.61  | | Case 1:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (15)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.62/49.61  | | | 
% 245.62/49.61  | | | REF_CLOSE: (5), (6), (15) are inconsistent by sub-proof #1290.
% 245.62/49.61  | | | 
% 245.62/49.61  | | Case 2:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (16)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.62/49.61  | | |           op1(e10, e13) = e14)
% 245.62/49.61  | | | 
% 245.62/49.61  | | | BETA: splitting (16) gives:
% 245.62/49.61  | | | 
% 245.62/49.61  | | | Case 1:
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | |   (17)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | REF_CLOSE: (5), (7), (17) are inconsistent by sub-proof #1271.
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | Case 2:
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | |   (18)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | ALPHA: (18) implies:
% 245.62/49.61  | | | |   (19)  all_25_21 = e14
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | COMBINE_EQS: (10), (19) imply:
% 245.62/49.61  | | | |   (20)  e14 = e10
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | SIMP: (20) implies:
% 245.62/49.61  | | | |   (21)  e14 = e10
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | REDUCE: (1), (21) imply:
% 245.62/49.61  | | | |   (22)  $false
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | | CLOSE: (22) is inconsistent.
% 245.62/49.61  | | | | 
% 245.62/49.61  | | | End of split
% 245.62/49.61  | | | 
% 245.62/49.61  | | End of split
% 245.62/49.61  | | 
% 245.62/49.61  | End of split
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1271 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.62/49.61    (2)  all_25_13 = e13
% 245.62/49.61    (3)   ~ (e14 = e13)
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | ALPHA: (1) implies:
% 245.62/49.61  |   (4)  all_25_13 = e14
% 245.62/49.61  | 
% 245.62/49.61  | COMBINE_EQS: (2), (4) imply:
% 245.62/49.61  |   (5)  e14 = e13
% 245.62/49.61  | 
% 245.62/49.61  | SIMP: (5) implies:
% 245.62/49.61  |   (6)  e14 = e13
% 245.62/49.61  | 
% 245.62/49.61  | REDUCE: (3), (6) imply:
% 245.62/49.61  |   (7)  $false
% 245.62/49.61  | 
% 245.62/49.61  | CLOSE: (7) is inconsistent.
% 245.62/49.61  | 
% 245.62/49.61  End of proof
% 245.62/49.61  
% 245.62/49.61  Sub-proof #1272 shows that the following formulas are inconsistent:
% 245.62/49.61  ----------------------------------------------------------------
% 245.62/49.61    (1)   ~ (e14 = e10)
% 245.62/49.61    (2)  all_25_1 = e12
% 245.62/49.61    (3)   ~ (e14 = e11)
% 245.62/49.61    (4)  all_25_3 = e11
% 245.62/49.61    (5)  op1(e10, e13) = e13
% 245.62/49.61    (6)   ~ (e14 = e13)
% 245.62/49.61    (7)  all_25_7 = e13
% 245.62/49.61    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.62/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.62/49.61    (9)  all_25_13 = e10
% 245.62/49.61    (10)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.62/49.61            = e14) | (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 &
% 245.62/49.61            op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.62/49.61    (11)   ~ (e14 = e12)
% 245.62/49.61  
% 245.62/49.61  Begin of proof
% 245.62/49.61  | 
% 245.62/49.61  | BETA: splitting (10) gives:
% 245.62/49.61  | 
% 245.62/49.61  | Case 1:
% 245.62/49.61  | | 
% 245.62/49.61  | |   (12)  (all_25_1 = e14 & op1(e14, e13) = e14) | (all_25_3 = e14 & op1(e13,
% 245.62/49.61  | |             e13) = e14)
% 245.62/49.61  | | 
% 245.62/49.61  | | BETA: splitting (12) gives:
% 245.62/49.61  | | 
% 245.62/49.61  | | Case 1:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (13)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.62/49.61  | | | 
% 245.62/49.61  | | | REF_CLOSE: (2), (11), (13) are inconsistent by sub-proof #1292.
% 245.62/49.61  | | | 
% 245.62/49.61  | | Case 2:
% 245.62/49.61  | | | 
% 245.62/49.61  | | |   (14)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.62/49.61  | | | 
% 245.62/49.61  | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #1291.
% 245.62/49.61  | | | 
% 245.62/49.61  | | End of split
% 245.62/49.61  | | 
% 245.62/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (15)  (all_25_7 = e14 & op1(e12, e13) = e14) | (all_25_13 = e14 & op1(e11,
% 245.68/49.61  | |             e13) = e14) | (all_25_21 = e14 & op1(e10, e13) = e14)
% 245.68/49.61  | | 
% 245.68/49.61  | | BETA: splitting (15) gives:
% 245.68/49.61  | | 
% 245.68/49.61  | | Case 1:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (16)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #1290.
% 245.68/49.61  | | | 
% 245.68/49.61  | | Case 2:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (17)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 &
% 245.68/49.61  | | |           op1(e10, e13) = e14)
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REF_CLOSE: (1), (5), (6), (8), (9), (17) are inconsistent by sub-proof
% 245.68/49.61  | | |            #1273.
% 245.68/49.61  | | | 
% 245.68/49.61  | | End of split
% 245.68/49.61  | | 
% 245.68/49.61  | End of split
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1273 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  op1(e10, e13) = e13
% 245.68/49.61    (3)   ~ (e14 = e13)
% 245.68/49.61    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (5)  all_25_13 = e10
% 245.68/49.61    (6)  (all_25_13 = e14 & op1(e11, e13) = e14) | (all_25_21 = e14 & op1(e10,
% 245.68/49.61             e13) = e14)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | BETA: splitting (6) gives:
% 245.68/49.61  | 
% 245.68/49.61  | Case 1:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (7)  all_25_13 = e14 & op1(e11, e13) = e14
% 245.68/49.61  | | 
% 245.68/49.61  | | ALPHA: (7) implies:
% 245.68/49.61  | |   (8)  all_25_13 = e14
% 245.68/49.61  | | 
% 245.68/49.61  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1275.
% 245.68/49.61  | | 
% 245.68/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (9)  all_25_21 = e14 & op1(e10, e13) = e14
% 245.68/49.61  | | 
% 245.68/49.61  | | ALPHA: (9) implies:
% 245.68/49.61  | |   (10)  op1(e10, e13) = e14
% 245.68/49.61  | | 
% 245.68/49.61  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1274.
% 245.68/49.61  | | 
% 245.68/49.61  | End of split
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1274 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (2)  op1(e10, e13) = e14
% 245.68/49.61    (3)  op1(e10, e13) = e13
% 245.68/49.61    (4)   ~ (e14 = e13)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | GROUND_INST: instantiating (1) with e13, e14, e13, e10, simplifying with (2),
% 245.68/49.61  |              (3) gives:
% 245.68/49.61  |   (5)  e14 = e13
% 245.68/49.61  | 
% 245.68/49.61  | REDUCE: (4), (5) imply:
% 245.68/49.61  |   (6)  $false
% 245.68/49.61  | 
% 245.68/49.61  | CLOSE: (6) is inconsistent.
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1275 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)  all_25_13 = e14
% 245.68/49.61    (2)  all_25_13 = e10
% 245.68/49.61    (3)   ~ (e14 = e10)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | COMBINE_EQS: (1), (2) imply:
% 245.68/49.61  |   (4)  e14 = e10
% 245.68/49.61  | 
% 245.68/49.61  | SIMP: (4) implies:
% 245.68/49.61  |   (5)  e14 = e10
% 245.68/49.61  | 
% 245.68/49.61  | REDUCE: (3), (5) imply:
% 245.68/49.61  |   (6)  $false
% 245.68/49.61  | 
% 245.68/49.61  | CLOSE: (6) is inconsistent.
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1276 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  all_25_2 = e12
% 245.68/49.61    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.68/49.61           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61    (4)   ~ (e14 = e11)
% 245.68/49.61    (5)  all_25_3 = e11
% 245.68/49.61    (6)   ~ (e13 = e10)
% 245.68/49.61    (7)   ~ (e14 = e13)
% 245.68/49.61    (8)  all_25_7 = e13
% 245.68/49.61    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (10)   ~ (e13 = e11)
% 245.68/49.61    (11)  op1(e13, e12) = e10
% 245.68/49.61    (12)  all_25_7 = e10 & op1(e12, e13) = e10
% 245.68/49.61    (13)   ~ (e13 = e12)
% 245.68/49.61    (14)  op1(e13, e13) = e11
% 245.68/49.61    (15)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.61            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.61    (16)   ~ (e14 = e12)
% 245.68/49.61    (17)  all_25_17 = e13
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | ALPHA: (12) implies:
% 245.68/49.61  |   (18)  all_25_7 = e10
% 245.68/49.61  | 
% 245.68/49.61  | COMBINE_EQS: (8), (18) imply:
% 245.68/49.61  |   (19)  e13 = e10
% 245.68/49.61  | 
% 245.68/49.61  | COMBINE_EQS: (17), (19) imply:
% 245.68/49.61  |   (20)  all_25_17 = e10
% 245.68/49.61  | 
% 245.68/49.61  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14),
% 245.68/49.61  |            (15), (16), (20) are inconsistent by sub-proof #1277.
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1277 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  all_25_2 = e12
% 245.68/49.61    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.68/49.61           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61    (4)  all_25_17 = e10
% 245.68/49.61    (5)   ~ (e14 = e11)
% 245.68/49.61    (6)  all_25_3 = e11
% 245.68/49.61    (7)   ~ (e13 = e10)
% 245.68/49.61    (8)   ~ (e14 = e13)
% 245.68/49.61    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (10)   ~ (e13 = e11)
% 245.68/49.61    (11)  op1(e13, e12) = e10
% 245.68/49.61    (12)   ~ (e13 = e12)
% 245.68/49.61    (13)  op1(e13, e13) = e11
% 245.68/49.61    (14)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.61            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.61    (15)   ~ (e14 = e12)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | BETA: splitting (3) gives:
% 245.68/49.61  | 
% 245.68/49.61  | Case 1:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (16)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13,
% 245.68/49.61  | |             e13) = e13)
% 245.68/49.61  | | 
% 245.68/49.61  | | REF_CLOSE: (2), (9), (10), (12), (13), (16) are inconsistent by sub-proof
% 245.68/49.61  | |            #1278.
% 245.68/49.61  | | 
% 245.68/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (17)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 & op1(e13,
% 245.68/49.61  | |             e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61  | | 
% 245.68/49.61  | | BETA: splitting (17) gives:
% 245.68/49.61  | | 
% 245.68/49.61  | | Case 1:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (18)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.68/49.61  | | | 
% 245.68/49.61  | | | ALPHA: (18) implies:
% 245.68/49.61  | | |   (19)  op1(e13, e12) = e13
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REF_CLOSE: (7), (9), (11), (19) are inconsistent by sub-proof #1334.
% 245.68/49.61  | | | 
% 245.68/49.61  | | Case 2:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (20)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.68/49.61  | | |           op1(e13, e10) = e13)
% 245.68/49.61  | | | 
% 245.68/49.61  | | | BETA: splitting (20) gives:
% 245.68/49.61  | | | 
% 245.68/49.61  | | | Case 1:
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | |   (21)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | ALPHA: (21) implies:
% 245.68/49.61  | | | |   (22)  all_25_10 = e13
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | BETA: splitting (14) gives:
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | Case 1:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | |   (23)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 &
% 245.68/49.61  | | | | |           op1(e13, e13) = e14)
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | BETA: splitting (23) gives:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | Case 1:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (24)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | ALPHA: (24) implies:
% 245.68/49.61  | | | | | |   (25)  all_25_2 = e14
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | COMBINE_EQS: (2), (25) imply:
% 245.68/49.61  | | | | | |   (26)  e14 = e12
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | SIMP: (26) implies:
% 245.68/49.61  | | | | | |   (27)  e14 = e12
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | REDUCE: (15), (27) imply:
% 245.68/49.61  | | | | | |   (28)  $false
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | CLOSE: (28) is inconsistent.
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | Case 2:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (29)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | REF_CLOSE: (5), (6), (29) are inconsistent by sub-proof #1291.
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | End of split
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | Case 2:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | |   (30)  (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61  | | | | |           op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) =
% 245.68/49.61  | | | | |           e14)
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | BETA: splitting (30) gives:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | Case 1:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (31)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | ALPHA: (31) implies:
% 245.68/49.61  | | | | | |   (32)  op1(e13, e12) = e14
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | REF_CLOSE: (1), (9), (11), (32) are inconsistent by sub-proof #1286.
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | Case 2:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (33)  (all_25_10 = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 &
% 245.68/49.61  | | | | | |           op1(e13, e10) = e14)
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | BETA: splitting (33) gives:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | Case 1:
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | |   (34)  all_25_10 = e14 & op1(e13, e11) = e14
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | REF_CLOSE: (8), (22), (34) are inconsistent by sub-proof #1283.
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | Case 2:
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | |   (35)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | ALPHA: (35) implies:
% 245.68/49.61  | | | | | | |   (36)  all_25_17 = e14
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | COMBINE_EQS: (4), (36) imply:
% 245.68/49.61  | | | | | | |   (37)  e14 = e10
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | REDUCE: (1), (37) imply:
% 245.68/49.61  | | | | | | |   (38)  $false
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | CLOSE: (38) is inconsistent.
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | End of split
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | End of split
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | End of split
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | Case 2:
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | |   (39)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | ALPHA: (39) implies:
% 245.68/49.61  | | | |   (40)  all_25_17 = e13
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | COMBINE_EQS: (4), (40) imply:
% 245.68/49.61  | | | |   (41)  e13 = e10
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | REDUCE: (7), (41) imply:
% 245.68/49.61  | | | |   (42)  $false
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | CLOSE: (42) is inconsistent.
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | End of split
% 245.68/49.61  | | | 
% 245.68/49.61  | | End of split
% 245.68/49.61  | | 
% 245.68/49.61  | End of split
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1278 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13)
% 245.68/49.61    (2)  all_25_2 = e12
% 245.68/49.61    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (4)   ~ (e13 = e11)
% 245.68/49.61    (5)   ~ (e13 = e12)
% 245.68/49.61    (6)  op1(e13, e13) = e11
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | BETA: splitting (1) gives:
% 245.68/49.61  | 
% 245.68/49.61  | Case 1:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (7)  all_25_2 = e13 & op1(e13, e14) = e13
% 245.68/49.61  | | 
% 245.68/49.61  | | ALPHA: (7) implies:
% 245.68/49.61  | |   (8)  all_25_2 = e13
% 245.68/49.61  | | 
% 245.68/49.61  | | COMBINE_EQS: (2), (8) imply:
% 245.68/49.61  | |   (9)  e13 = e12
% 245.68/49.61  | | 
% 245.68/49.61  | | SIMP: (9) implies:
% 245.68/49.61  | |   (10)  e13 = e12
% 245.68/49.61  | | 
% 245.68/49.61  | | REDUCE: (5), (10) imply:
% 245.68/49.61  | |   (11)  $false
% 245.68/49.61  | | 
% 245.68/49.61  | | CLOSE: (11) is inconsistent.
% 245.68/49.61  | | 
% 245.68/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (12)  all_25_3 = e13 & op1(e13, e13) = e13
% 245.68/49.61  | | 
% 245.68/49.61  | | REF_CLOSE: (3), (4), (6), (12) are inconsistent by sub-proof #1335.
% 245.68/49.61  | | 
% 245.68/49.61  | End of split
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1279 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  all_25_2 = e12
% 245.68/49.61    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.68/49.61           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61    (4)  all_25_1 = e12
% 245.68/49.61    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.68/49.61           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.68/49.61           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.68/49.61    (6)   ~ (e12 = e11)
% 245.68/49.61    (7)   ~ (e14 = e11)
% 245.68/49.61    (8)   ~ (e13 = e10)
% 245.68/49.61    (9)   ~ (e14 = e13)
% 245.68/49.61    (10)  (all_25_1 = e10 & op1(e14, e13) = e10) | (all_25_3 = e10 & op1(e13, e13)
% 245.68/49.61            = e10)
% 245.68/49.61    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (12)   ~ (e13 = e11)
% 245.68/49.61    (13)  op1(e13, e12) = e10
% 245.68/49.61    (14)   ~ (e11 = e10)
% 245.68/49.61    (15)   ~ (e13 = e12)
% 245.68/49.61    (16)  op1(e13, e13) = e11
% 245.68/49.61    (17)   ~ (e12 = e10)
% 245.68/49.61    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.68/49.61            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.68/49.61            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.68/49.61    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.61            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.61    (20)   ~ (e14 = e12)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | BETA: splitting (10) gives:
% 245.68/49.61  | 
% 245.68/49.61  | Case 1:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (21)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.68/49.61  | | 
% 245.68/49.61  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 245.68/49.61  | |            (14), (15), (16), (17), (18), (19), (20), (21) are inconsistent
% 245.68/49.61  | |            by sub-proof #1280.
% 245.68/49.61  | | 
% 245.68/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (22)  all_25_3 = e10 & op1(e13, e13) = e10
% 245.68/49.61  | | 
% 245.68/49.61  | | ALPHA: (22) implies:
% 245.68/49.61  | |   (23)  op1(e13, e13) = e10
% 245.68/49.61  | | 
% 245.68/49.61  | | GROUND_INST: instantiating (11) with e11, e10, e13, e13, simplifying with
% 245.68/49.61  | |              (16), (23) gives:
% 245.68/49.61  | |   (24)  e11 = e10
% 245.68/49.61  | | 
% 245.68/49.61  | | REDUCE: (14), (24) imply:
% 245.68/49.61  | |   (25)  $false
% 245.68/49.61  | | 
% 245.68/49.61  | | CLOSE: (25) is inconsistent.
% 245.68/49.61  | | 
% 245.68/49.61  | End of split
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1280 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  all_25_2 = e12
% 245.68/49.61    (3)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.68/49.61           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61    (4)  all_25_1 = e12
% 245.68/49.61    (5)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.68/49.61           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.68/49.61           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.68/49.61    (6)   ~ (e12 = e11)
% 245.68/49.61    (7)   ~ (e14 = e11)
% 245.68/49.61    (8)   ~ (e13 = e10)
% 245.68/49.61    (9)   ~ (e14 = e13)
% 245.68/49.61    (10)  all_25_1 = e10 & op1(e14, e13) = e10
% 245.68/49.61    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61            (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (12)   ~ (e13 = e11)
% 245.68/49.61    (13)  op1(e13, e12) = e10
% 245.68/49.61    (14)   ~ (e11 = e10)
% 245.68/49.61    (15)   ~ (e13 = e12)
% 245.68/49.61    (16)  op1(e13, e13) = e11
% 245.68/49.61    (17)   ~ (e12 = e10)
% 245.68/49.61    (18)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.68/49.61            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.68/49.61            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.68/49.61    (19)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.61            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.61    (20)   ~ (e14 = e12)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | ALPHA: (10) implies:
% 245.68/49.61  |   (21)  all_25_1 = e10
% 245.68/49.61  | 
% 245.68/49.61  | COMBINE_EQS: (4), (21) imply:
% 245.68/49.61  |   (22)  e12 = e10
% 245.68/49.61  | 
% 245.68/49.61  | COMBINE_EQS: (2), (22) imply:
% 245.68/49.61  |   (23)  all_25_2 = e10
% 245.68/49.61  | 
% 245.68/49.61  | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14), (15),
% 245.68/49.61  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 245.68/49.61  |            #1281.
% 245.68/49.61  | 
% 245.68/49.61  End of proof
% 245.68/49.61  
% 245.68/49.61  Sub-proof #1281 shows that the following formulas are inconsistent:
% 245.68/49.61  ----------------------------------------------------------------
% 245.68/49.61    (1)   ~ (e14 = e10)
% 245.68/49.61    (2)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.61           = e13) | (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13 &
% 245.68/49.61           op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13, e10) = e13)
% 245.68/49.61    (3)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 & op1(e13, e13)
% 245.68/49.61           = e11) | (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.68/49.61           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) = e11)
% 245.68/49.61    (4)  all_25_2 = e10
% 245.68/49.61    (5)   ~ (e12 = e11)
% 245.68/49.61    (6)   ~ (e14 = e11)
% 245.68/49.61    (7)   ~ (e13 = e10)
% 245.68/49.61    (8)   ~ (e14 = e13)
% 245.68/49.61    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.61           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.61    (10)   ~ (e13 = e11)
% 245.68/49.61    (11)  op1(e13, e12) = e10
% 245.68/49.61    (12)   ~ (e11 = e10)
% 245.68/49.61    (13)   ~ (e13 = e12)
% 245.68/49.61    (14)  op1(e13, e13) = e11
% 245.68/49.61    (15)   ~ (e12 = e10)
% 245.68/49.61    (16)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13, e13)
% 245.68/49.61            = e12) | (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 &
% 245.68/49.61            op1(e13, e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.68/49.61    (17)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.61            = e14) | (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10 = e14 &
% 245.68/49.61            op1(e13, e11) = e14) | (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.61    (18)   ~ (e14 = e12)
% 245.68/49.61  
% 245.68/49.61  Begin of proof
% 245.68/49.61  | 
% 245.68/49.61  | BETA: splitting (16) gives:
% 245.68/49.61  | 
% 245.68/49.61  | Case 1:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (19)  (all_25_2 = e12 & op1(e13, e14) = e12) | (all_25_3 = e12 & op1(e13,
% 245.68/49.61  | |             e13) = e12)
% 245.68/49.61  | | 
% 245.68/49.61  | | BETA: splitting (19) gives:
% 245.68/49.61  | | 
% 245.68/49.61  | | Case 1:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (20)  all_25_2 = e12 & op1(e13, e14) = e12
% 245.68/49.61  | | | 
% 245.68/49.61  | | | ALPHA: (20) implies:
% 245.68/49.61  | | |   (21)  all_25_2 = e12
% 245.68/49.61  | | | 
% 245.68/49.61  | | | COMBINE_EQS: (4), (21) imply:
% 245.68/49.61  | | |   (22)  e12 = e10
% 245.68/49.61  | | | 
% 245.68/49.61  | | | SIMP: (22) implies:
% 245.68/49.61  | | |   (23)  e12 = e10
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REDUCE: (15), (23) imply:
% 245.68/49.61  | | |   (24)  $false
% 245.68/49.61  | | | 
% 245.68/49.61  | | | CLOSE: (24) is inconsistent.
% 245.68/49.61  | | | 
% 245.68/49.61  | | Case 2:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (25)  all_25_3 = e12 & op1(e13, e13) = e12
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REF_CLOSE: (5), (9), (14), (25) are inconsistent by sub-proof #1338.
% 245.68/49.61  | | | 
% 245.68/49.61  | | End of split
% 245.68/49.61  | | 
% 245.68/49.61  | Case 2:
% 245.68/49.61  | | 
% 245.68/49.61  | |   (26)  (all_25_5 = e12 & op1(e13, e12) = e12) | (all_25_10 = e12 & op1(e13,
% 245.68/49.61  | |             e11) = e12) | (all_25_17 = e12 & op1(e13, e10) = e12)
% 245.68/49.61  | | 
% 245.68/49.61  | | BETA: splitting (26) gives:
% 245.68/49.61  | | 
% 245.68/49.61  | | Case 1:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (27)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.68/49.61  | | | 
% 245.68/49.61  | | | REF_CLOSE: (9), (11), (15), (27) are inconsistent by sub-proof #1337.
% 245.68/49.61  | | | 
% 245.68/49.61  | | Case 2:
% 245.68/49.61  | | | 
% 245.68/49.61  | | |   (28)  (all_25_10 = e12 & op1(e13, e11) = e12) | (all_25_17 = e12 &
% 245.68/49.61  | | |           op1(e13, e10) = e12)
% 245.68/49.61  | | | 
% 245.68/49.61  | | | BETA: splitting (28) gives:
% 245.68/49.61  | | | 
% 245.68/49.61  | | | Case 1:
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | |   (29)  all_25_10 = e12 & op1(e13, e11) = e12
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | ALPHA: (29) implies:
% 245.68/49.61  | | | |   (30)  all_25_10 = e12
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | BETA: splitting (3) gives:
% 245.68/49.61  | | | | 
% 245.68/49.61  | | | | Case 1:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | |   (31)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 &
% 245.68/49.61  | | | | |           op1(e13, e13) = e11)
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | BETA: splitting (31) gives:
% 245.68/49.61  | | | | | 
% 245.68/49.61  | | | | | Case 1:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (32)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | REF_CLOSE: (4), (12), (32) are inconsistent by sub-proof #1289.
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | Case 2:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | |   (33)  all_25_3 = e11 & op1(e13, e13) = e11
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | ALPHA: (33) implies:
% 245.68/49.61  | | | | | |   (34)  all_25_3 = e11
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | BETA: splitting (2) gives:
% 245.68/49.61  | | | | | | 
% 245.68/49.61  | | | | | | Case 1:
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | |   (35)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 &
% 245.68/49.61  | | | | | | |           op1(e13, e13) = e13)
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | REF_CLOSE: (4), (7), (9), (10), (14), (35) are inconsistent by
% 245.68/49.61  | | | | | | |            sub-proof #1288.
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | Case 2:
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | |   (36)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13
% 245.68/49.61  | | | | | | |           & op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13,
% 245.68/49.61  | | | | | | |             e10) = e13)
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | BETA: splitting (36) gives:
% 245.68/49.61  | | | | | | | 
% 245.68/49.61  | | | | | | | Case 1:
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | |   (37)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | | ALPHA: (37) implies:
% 245.68/49.61  | | | | | | | |   (38)  op1(e13, e12) = e13
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | | REF_CLOSE: (7), (9), (11), (38) are inconsistent by sub-proof
% 245.68/49.61  | | | | | | | |            #1334.
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | Case 2:
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | |   (39)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 =
% 245.68/49.61  | | | | | | | |           e13 & op1(e13, e10) = e13)
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | | BETA: splitting (39) gives:
% 245.68/49.61  | | | | | | | | 
% 245.68/49.61  | | | | | | | | Case 1:
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | |   (40)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | ALPHA: (40) implies:
% 245.68/49.61  | | | | | | | | |   (41)  all_25_10 = e13
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | COMBINE_EQS: (30), (41) imply:
% 245.68/49.61  | | | | | | | | |   (42)  e13 = e12
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | REDUCE: (13), (42) imply:
% 245.68/49.61  | | | | | | | | |   (43)  $false
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | CLOSE: (43) is inconsistent.
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | Case 2:
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | |   (44)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | ALPHA: (44) implies:
% 245.68/49.61  | | | | | | | | |   (45)  all_25_17 = e13
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | BETA: splitting (17) gives:
% 245.68/49.61  | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | Case 1:
% 245.68/49.61  | | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | |   (46)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 =
% 245.68/49.61  | | | | | | | | | |           e14 & op1(e13, e13) = e14)
% 245.68/49.61  | | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | | REF_CLOSE: (1), (4), (6), (34), (46) are inconsistent by
% 245.68/49.61  | | | | | | | | | |            sub-proof #1287.
% 245.68/49.61  | | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | Case 2:
% 245.68/49.61  | | | | | | | | | | 
% 245.68/49.61  | | | | | | | | | |   (47)  (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10
% 245.68/49.62  | | | | | | | | | |           = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 &
% 245.68/49.62  | | | | | | | | | |           op1(e13, e10) = e14)
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | BETA: splitting (47) gives:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | |   (48)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | ALPHA: (48) implies:
% 245.68/49.62  | | | | | | | | | | |   (49)  op1(e13, e12) = e14
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | REF_CLOSE: (1), (9), (11), (49) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | | | |            #1286.
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | |   (50)  (all_25_10 = e14 & op1(e13, e11) = e14) |
% 245.68/49.62  | | | | | | | | | | |         (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | BETA: splitting (50) gives:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | |   (51)  all_25_10 = e14 & op1(e13, e11) = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | ALPHA: (51) implies:
% 245.68/49.62  | | | | | | | | | | | |   (52)  all_25_10 = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | COMBINE_EQS: (30), (52) imply:
% 245.68/49.62  | | | | | | | | | | | |   (53)  e14 = e12
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | REDUCE: (18), (53) imply:
% 245.68/49.62  | | | | | | | | | | | |   (54)  $false
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | CLOSE: (54) is inconsistent.
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | |   (55)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | ALPHA: (55) implies:
% 245.68/49.62  | | | | | | | | | | | |   (56)  all_25_17 = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | COMBINE_EQS: (45), (56) imply:
% 245.68/49.62  | | | | | | | | | | | |   (57)  e14 = e13
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | REDUCE: (8), (57) imply:
% 245.68/49.62  | | | | | | | | | | | |   (58)  $false
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | CLOSE: (58) is inconsistent.
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | End of split
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | End of split
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | End of split
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | Case 2:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | |   (59)  (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.68/49.62  | | | | |           op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) =
% 245.68/49.62  | | | | |           e11)
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | BETA: splitting (59) gives:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | Case 1:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (60)  all_25_5 = e11 & op1(e13, e12) = e11
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | REF_CLOSE: (9), (11), (12), (60) are inconsistent by sub-proof
% 245.68/49.62  | | | | | |            #1285.
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | Case 2:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (61)  (all_25_10 = e11 & op1(e13, e11) = e11) | (all_25_17 = e11 &
% 245.68/49.62  | | | | | |           op1(e13, e10) = e11)
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | BETA: splitting (61) gives:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | Case 1:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (62)  all_25_10 = e11 & op1(e13, e11) = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | ALPHA: (62) implies:
% 245.68/49.62  | | | | | | |   (63)  all_25_10 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | COMBINE_EQS: (30), (63) imply:
% 245.68/49.62  | | | | | | |   (64)  e12 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | REDUCE: (5), (64) imply:
% 245.68/49.62  | | | | | | |   (65)  $false
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | CLOSE: (65) is inconsistent.
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | Case 2:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (66)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | ALPHA: (66) implies:
% 245.68/49.62  | | | | | | |   (67)  all_25_17 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | BETA: splitting (2) gives:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (68)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13
% 245.68/49.62  | | | | | | | |           & op1(e13, e13) = e13)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | REF_CLOSE: (4), (7), (9), (10), (14), (68) are inconsistent by
% 245.68/49.62  | | | | | | | |            sub-proof #1288.
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (69)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 =
% 245.68/49.62  | | | | | | | |           e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.68/49.62  | | | | | | | |           op1(e13, e10) = e13)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | BETA: splitting (69) gives:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (70)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | ALPHA: (70) implies:
% 245.68/49.62  | | | | | | | | |   (71)  op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (7), (9), (11), (71) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | |            #1334.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (72)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 =
% 245.68/49.62  | | | | | | | | |           e13 & op1(e13, e10) = e13)
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | BETA: splitting (72) gives:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (73)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | ALPHA: (73) implies:
% 245.68/49.62  | | | | | | | | | |   (74)  all_25_10 = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | COMBINE_EQS: (30), (74) imply:
% 245.68/49.62  | | | | | | | | | |   (75)  e13 = e12
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | SIMP: (75) implies:
% 245.68/49.62  | | | | | | | | | |   (76)  e13 = e12
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | REDUCE: (13), (76) imply:
% 245.68/49.62  | | | | | | | | | |   (77)  $false
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | CLOSE: (77) is inconsistent.
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (78)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | REF_CLOSE: (10), (67), (78) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | | |            #1284.
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | End of split
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | End of split
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | End of split
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | End of split
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | Case 2:
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | |   (79)  all_25_17 = e12 & op1(e13, e10) = e12
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | ALPHA: (79) implies:
% 245.68/49.62  | | | |   (80)  all_25_17 = e12
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | BETA: splitting (3) gives:
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | Case 1:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | |   (81)  (all_25_2 = e11 & op1(e13, e14) = e11) | (all_25_3 = e11 &
% 245.68/49.62  | | | | |           op1(e13, e13) = e11)
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | BETA: splitting (81) gives:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | Case 1:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (82)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | REF_CLOSE: (4), (12), (82) are inconsistent by sub-proof #1289.
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | Case 2:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (83)  all_25_3 = e11 & op1(e13, e13) = e11
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | ALPHA: (83) implies:
% 245.68/49.62  | | | | | |   (84)  all_25_3 = e11
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | BETA: splitting (2) gives:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | Case 1:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (85)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 &
% 245.68/49.62  | | | | | | |           op1(e13, e13) = e13)
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | REF_CLOSE: (4), (7), (9), (10), (14), (85) are inconsistent by
% 245.68/49.62  | | | | | | |            sub-proof #1288.
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | Case 2:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (86)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 = e13
% 245.68/49.62  | | | | | | |           & op1(e13, e11) = e13) | (all_25_17 = e13 & op1(e13,
% 245.68/49.62  | | | | | | |             e10) = e13)
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | BETA: splitting (86) gives:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (87)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | ALPHA: (87) implies:
% 245.68/49.62  | | | | | | | |   (88)  op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | REF_CLOSE: (7), (9), (11), (88) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | |            #1334.
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (89)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17 =
% 245.68/49.62  | | | | | | | |           e13 & op1(e13, e10) = e13)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | BETA: splitting (89) gives:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (90)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | ALPHA: (90) implies:
% 245.68/49.62  | | | | | | | | |   (91)  all_25_10 = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | BETA: splitting (17) gives:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (92)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 =
% 245.68/49.62  | | | | | | | | | |           e14 & op1(e13, e13) = e14)
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | REF_CLOSE: (1), (4), (6), (84), (92) are inconsistent by
% 245.68/49.62  | | | | | | | | | |            sub-proof #1287.
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (93)  (all_25_5 = e14 & op1(e13, e12) = e14) | (all_25_10
% 245.68/49.62  | | | | | | | | | |           = e14 & op1(e13, e11) = e14) | (all_25_17 = e14 &
% 245.68/49.62  | | | | | | | | | |           op1(e13, e10) = e14)
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | BETA: splitting (93) gives:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | |   (94)  all_25_5 = e14 & op1(e13, e12) = e14
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | ALPHA: (94) implies:
% 245.68/49.62  | | | | | | | | | | |   (95)  op1(e13, e12) = e14
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | REF_CLOSE: (1), (9), (11), (95) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | | | |            #1286.
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | |   (96)  (all_25_10 = e14 & op1(e13, e11) = e14) |
% 245.68/49.62  | | | | | | | | | | |         (all_25_17 = e14 & op1(e13, e10) = e14)
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | BETA: splitting (96) gives:
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | |   (97)  all_25_10 = e14 & op1(e13, e11) = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | REF_CLOSE: (8), (91), (97) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | | | | |            #1283.
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | |   (98)  all_25_17 = e14 & op1(e13, e10) = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | ALPHA: (98) implies:
% 245.68/49.62  | | | | | | | | | | | |   (99)  all_25_17 = e14
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | COMBINE_EQS: (80), (99) imply:
% 245.68/49.62  | | | | | | | | | | | |   (100)  e14 = e12
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | REDUCE: (18), (100) imply:
% 245.68/49.62  | | | | | | | | | | | |   (101)  $false
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | | CLOSE: (101) is inconsistent.
% 245.68/49.62  | | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (102)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (13), (80), (102) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | |            #1282.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | End of split
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | End of split
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | End of split
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | Case 2:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | |   (103)  (all_25_5 = e11 & op1(e13, e12) = e11) | (all_25_10 = e11 &
% 245.68/49.62  | | | | |            op1(e13, e11) = e11) | (all_25_17 = e11 & op1(e13, e10) =
% 245.68/49.62  | | | | |            e11)
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | BETA: splitting (103) gives:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | Case 1:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (104)  all_25_5 = e11 & op1(e13, e12) = e11
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | REF_CLOSE: (9), (11), (12), (104) are inconsistent by sub-proof
% 245.68/49.62  | | | | | |            #1285.
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | Case 2:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (105)  (all_25_10 = e11 & op1(e13, e11) = e11) | (all_25_17 = e11
% 245.68/49.62  | | | | | |            & op1(e13, e10) = e11)
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | BETA: splitting (105) gives:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | Case 1:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (106)  all_25_10 = e11 & op1(e13, e11) = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | ALPHA: (106) implies:
% 245.68/49.62  | | | | | | |   (107)  all_25_10 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | BETA: splitting (2) gives:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (108)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 =
% 245.68/49.62  | | | | | | | |            e13 & op1(e13, e13) = e13)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | REF_CLOSE: (4), (7), (9), (10), (14), (108) are inconsistent by
% 245.68/49.62  | | | | | | | |            sub-proof #1288.
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (109)  (all_25_5 = e13 & op1(e13, e12) = e13) | (all_25_10 =
% 245.68/49.62  | | | | | | | |            e13 & op1(e13, e11) = e13) | (all_25_17 = e13 &
% 245.68/49.62  | | | | | | | |            op1(e13, e10) = e13)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | BETA: splitting (109) gives:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (110)  all_25_5 = e13 & op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | ALPHA: (110) implies:
% 245.68/49.62  | | | | | | | | |   (111)  op1(e13, e12) = e13
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (7), (9), (11), (111) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | |            #1334.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (112)  (all_25_10 = e13 & op1(e13, e11) = e13) | (all_25_17
% 245.68/49.62  | | | | | | | | |            = e13 & op1(e13, e10) = e13)
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | BETA: splitting (112) gives:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (113)  all_25_10 = e13 & op1(e13, e11) = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | ALPHA: (113) implies:
% 245.68/49.62  | | | | | | | | | |   (114)  all_25_10 = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | COMBINE_EQS: (107), (114) imply:
% 245.68/49.62  | | | | | | | | | |   (115)  e13 = e11
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | SIMP: (115) implies:
% 245.68/49.62  | | | | | | | | | |   (116)  e13 = e11
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | REDUCE: (10), (116) imply:
% 245.68/49.62  | | | | | | | | | |   (117)  $false
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | CLOSE: (117) is inconsistent.
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | |   (118)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | | REF_CLOSE: (13), (80), (118) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | | |            #1282.
% 245.68/49.62  | | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | End of split
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | Case 2:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (119)  all_25_17 = e11 & op1(e13, e10) = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | ALPHA: (119) implies:
% 245.68/49.62  | | | | | | |   (120)  all_25_17 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | COMBINE_EQS: (80), (120) imply:
% 245.68/49.62  | | | | | | |   (121)  e12 = e11
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | REDUCE: (5), (121) imply:
% 245.68/49.62  | | | | | | |   (122)  $false
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | CLOSE: (122) is inconsistent.
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | End of split
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | End of split
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | End of split
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | End of split
% 245.68/49.62  | | | 
% 245.68/49.62  | | End of split
% 245.68/49.62  | | 
% 245.68/49.62  | End of split
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1282 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.62    (2)  all_25_17 = e12
% 245.68/49.62    (3)   ~ (e13 = e12)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_17 = e13
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e13 = e12
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (5) imply:
% 245.68/49.62  |   (6)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (6) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1283 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_10 = e14 & op1(e13, e11) = e14
% 245.68/49.62    (2)  all_25_10 = e13
% 245.68/49.62    (3)   ~ (e14 = e13)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_10 = e14
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e14 = e13
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e14 = e13
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1284 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_17 = e13 & op1(e13, e10) = e13
% 245.68/49.62    (2)  all_25_17 = e11
% 245.68/49.62    (3)   ~ (e13 = e11)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_17 = e13
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e13 = e11
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (5) imply:
% 245.68/49.62  |   (6)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (6) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1285 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_5 = e11 & op1(e13, e12) = e11
% 245.68/49.62    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.62    (3)  op1(e13, e12) = e10
% 245.68/49.62    (4)   ~ (e11 = e10)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (5)  op1(e13, e12) = e11
% 245.68/49.62  | 
% 245.68/49.62  | GROUND_INST: instantiating (2) with e10, e11, e12, e13, simplifying with (3),
% 245.68/49.62  |              (5) gives:
% 245.68/49.62  |   (6)  e11 = e10
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (4), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1286 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.62    (2)  op1(e13, e12) = e14
% 245.68/49.62    (3)  op1(e13, e12) = e10
% 245.68/49.62    (4)   ~ (e14 = e10)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | GROUND_INST: instantiating (1) with e10, e14, e12, e13, simplifying with (2),
% 245.68/49.62  |              (3) gives:
% 245.68/49.62  |   (5)  e14 = e10
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (4), (5) imply:
% 245.68/49.62  |   (6)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (6) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1287 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)   ~ (e14 = e10)
% 245.68/49.62    (2)  all_25_2 = e10
% 245.68/49.62    (3)   ~ (e14 = e11)
% 245.68/49.62    (4)  all_25_3 = e11
% 245.68/49.62    (5)  (all_25_2 = e14 & op1(e13, e14) = e14) | (all_25_3 = e14 & op1(e13, e13)
% 245.68/49.62           = e14)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | BETA: splitting (5) gives:
% 245.68/49.62  | 
% 245.68/49.62  | Case 1:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (6)  all_25_2 = e14 & op1(e13, e14) = e14
% 245.68/49.62  | | 
% 245.68/49.62  | | ALPHA: (6) implies:
% 245.68/49.62  | |   (7)  all_25_2 = e14
% 245.68/49.62  | | 
% 245.68/49.62  | | COMBINE_EQS: (2), (7) imply:
% 245.68/49.62  | |   (8)  e14 = e10
% 245.68/49.62  | | 
% 245.68/49.62  | | SIMP: (8) implies:
% 245.68/49.62  | |   (9)  e14 = e10
% 245.68/49.62  | | 
% 245.68/49.62  | | REDUCE: (1), (9) imply:
% 245.68/49.62  | |   (10)  $false
% 245.68/49.62  | | 
% 245.68/49.62  | | CLOSE: (10) is inconsistent.
% 245.68/49.62  | | 
% 245.68/49.62  | Case 2:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (11)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.68/49.62  | | 
% 245.68/49.62  | | REF_CLOSE: (3), (4), (11) are inconsistent by sub-proof #1291.
% 245.68/49.62  | | 
% 245.68/49.62  | End of split
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1288 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  (all_25_2 = e13 & op1(e13, e14) = e13) | (all_25_3 = e13 & op1(e13, e13)
% 245.68/49.62           = e13)
% 245.68/49.62    (2)  all_25_2 = e10
% 245.68/49.62    (3)   ~ (e13 = e10)
% 245.68/49.62    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.62    (5)   ~ (e13 = e11)
% 245.68/49.62    (6)  op1(e13, e13) = e11
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | BETA: splitting (1) gives:
% 245.68/49.62  | 
% 245.68/49.62  | Case 1:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (7)  all_25_2 = e13 & op1(e13, e14) = e13
% 245.68/49.62  | | 
% 245.68/49.62  | | ALPHA: (7) implies:
% 245.68/49.62  | |   (8)  all_25_2 = e13
% 245.68/49.62  | | 
% 245.68/49.62  | | COMBINE_EQS: (2), (8) imply:
% 245.68/49.62  | |   (9)  e13 = e10
% 245.68/49.62  | | 
% 245.68/49.62  | | SIMP: (9) implies:
% 245.68/49.62  | |   (10)  e13 = e10
% 245.68/49.62  | | 
% 245.68/49.62  | | REDUCE: (3), (10) imply:
% 245.68/49.62  | |   (11)  $false
% 245.68/49.62  | | 
% 245.68/49.62  | | CLOSE: (11) is inconsistent.
% 245.68/49.62  | | 
% 245.68/49.62  | Case 2:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (12)  all_25_3 = e13 & op1(e13, e13) = e13
% 245.68/49.62  | | 
% 245.68/49.62  | | REF_CLOSE: (4), (5), (6), (12) are inconsistent by sub-proof #1335.
% 245.68/49.62  | | 
% 245.68/49.62  | End of split
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1289 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_2 = e11 & op1(e13, e14) = e11
% 245.68/49.62    (2)  all_25_2 = e10
% 245.68/49.62    (3)   ~ (e11 = e10)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_2 = e11
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e11 = e10
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e11 = e10
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1290 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_7 = e14 & op1(e12, e13) = e14
% 245.68/49.62    (2)  all_25_7 = e13
% 245.68/49.62    (3)   ~ (e14 = e13)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_7 = e14
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e14 = e13
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e14 = e13
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1291 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_3 = e14 & op1(e13, e13) = e14
% 245.68/49.62    (2)  all_25_3 = e11
% 245.68/49.62    (3)   ~ (e14 = e11)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_3 = e14
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e14 = e11
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e14 = e11
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1292 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_1 = e14 & op1(e14, e13) = e14
% 245.68/49.62    (2)  all_25_1 = e12
% 245.68/49.62    (3)   ~ (e14 = e12)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_1 = e14
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e14 = e12
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e14 = e12
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1293 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_1 = e13 & op1(e14, e13) = e13
% 245.68/49.62    (2)  all_25_1 = e12
% 245.68/49.62    (3)   ~ (e13 = e12)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (4)  all_25_1 = e13
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.62  |   (5)  e13 = e12
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (5) implies:
% 245.68/49.62  |   (6)  e13 = e12
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1294 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_18_5 = all_14_1
% 245.68/49.62    (2)  all_18_5 = e14
% 245.68/49.62    (3)   ~ (all_14_1 = e14)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | COMBINE_EQS: (1), (2) imply:
% 245.68/49.62  |   (4)  all_14_1 = e14
% 245.68/49.62  | 
% 245.68/49.62  | SIMP: (4) implies:
% 245.68/49.62  |   (5)  all_14_1 = e14
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (3), (5) imply:
% 245.68/49.62  |   (6)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (6) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1295 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_25_16 = e13 & op1(e14, e10) = e13
% 245.68/49.62    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.62    (3)  op1(e14, e10) = all_14_20
% 245.68/49.62    (4)   ~ (all_14_20 = e13)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (5)  op1(e14, e10) = e13
% 245.68/49.62  | 
% 245.68/49.62  | GROUND_INST: instantiating (2) with all_14_20, e13, e10, e14, simplifying with
% 245.68/49.62  |              (3), (5) gives:
% 245.68/49.62  |   (6)  all_14_20 = e13
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (4), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1296 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.62    (2)  op1(e12, e13) = all_14_7
% 245.68/49.62    (3)  op1(e12, e13) = e12
% 245.68/49.62    (4)   ~ (all_14_7 = e12)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | GROUND_INST: instantiating (1) with all_14_7, e12, e13, e12, simplifying with
% 245.68/49.62  |              (2), (3) gives:
% 245.68/49.62  |   (5)  all_14_7 = e12
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (4), (5) imply:
% 245.68/49.62  |   (6)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (6) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1297 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)  all_24_0 = e22 & op2(e24, e24) = e22
% 245.68/49.62    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.62    (3)  op2(e24, e24) = all_12_2
% 245.68/49.62    (4)   ~ (all_12_2 = e22)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | ALPHA: (1) implies:
% 245.68/49.62  |   (5)  op2(e24, e24) = e22
% 245.68/49.62  | 
% 245.68/49.62  | GROUND_INST: instantiating (2) with all_12_2, e22, e24, e24, simplifying with
% 245.68/49.62  |              (3), (5) gives:
% 245.68/49.62  |   (6)  all_12_2 = e22
% 245.68/49.62  | 
% 245.68/49.62  | REDUCE: (4), (6) imply:
% 245.68/49.62  |   (7)  $false
% 245.68/49.62  | 
% 245.68/49.62  | CLOSE: (7) is inconsistent.
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1298 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)   ~ (e24 = e20)
% 245.68/49.62    (2)   ~ (e23 = e21)
% 245.68/49.62    (3)  op2(e23, e21) = e24
% 245.68/49.62    (4)  op2(e23, e23) = e21
% 245.68/49.62    (5)   ~ (e23 = e22)
% 245.68/49.62    (6)   ~ (e22 = e20)
% 245.68/49.62    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.62    (8)   ~ (e23 = e20)
% 245.68/49.62    (9)  all_24_2 = e21
% 245.68/49.62    (10)   ~ (e24 = e21)
% 245.68/49.62    (11)   ~ (e22 = e21)
% 245.68/49.62    (12)  op2(e23, e22) = e20
% 245.68/49.62    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.68/49.62            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.68/49.62            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.68/49.62    (14)   ~ (e24 = e22)
% 245.68/49.62    (15)   ~ (e24 = e23)
% 245.68/49.62    (16)  op2(e23, e21) = all_10_1
% 245.68/49.62    (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.68/49.62            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.62            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.68/49.62    (18)  all_24_5 = e20
% 245.68/49.62    (19)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.62            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.62            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | BETA: splitting (13) gives:
% 245.68/49.62  | 
% 245.68/49.62  | Case 1:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (20)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 245.68/49.62  | |             e23) = e22)
% 245.68/49.62  | | 
% 245.68/49.62  | | BETA: splitting (20) gives:
% 245.68/49.62  | | 
% 245.68/49.62  | | Case 1:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (21)  all_24_2 = e22 & op2(e23, e24) = e22
% 245.68/49.62  | | | 
% 245.68/49.62  | | | ALPHA: (21) implies:
% 245.68/49.62  | | |   (22)  all_24_2 = e22
% 245.68/49.62  | | | 
% 245.68/49.62  | | | COMBINE_EQS: (9), (22) imply:
% 245.68/49.62  | | |   (23)  e22 = e21
% 245.68/49.62  | | | 
% 245.68/49.62  | | | REDUCE: (11), (23) imply:
% 245.68/49.62  | | |   (24)  $false
% 245.68/49.62  | | | 
% 245.68/49.62  | | | CLOSE: (24) is inconsistent.
% 245.68/49.62  | | | 
% 245.68/49.62  | | Case 2:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (25)  all_24_3 = e22 & op2(e23, e23) = e22
% 245.68/49.62  | | | 
% 245.68/49.62  | | | REF_CLOSE: (4), (7), (11), (25) are inconsistent by sub-proof #1331.
% 245.68/49.62  | | | 
% 245.68/49.62  | | End of split
% 245.68/49.62  | | 
% 245.68/49.62  | Case 2:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (26)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 245.68/49.62  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.68/49.62  | | 
% 245.68/49.62  | | BETA: splitting (26) gives:
% 245.68/49.62  | | 
% 245.68/49.62  | | Case 1:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (27)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.68/49.62  | | | 
% 245.68/49.62  | | | REF_CLOSE: (6), (7), (12), (27) are inconsistent by sub-proof #1330.
% 245.68/49.62  | | | 
% 245.68/49.62  | | Case 2:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (28)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 245.68/49.62  | | |           op2(e23, e20) = e22)
% 245.68/49.62  | | | 
% 245.68/49.62  | | | BETA: splitting (28) gives:
% 245.68/49.62  | | | 
% 245.68/49.62  | | | Case 1:
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | |   (29)  all_24_10 = e22 & op2(e23, e21) = e22
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | ALPHA: (29) implies:
% 245.68/49.62  | | | |   (30)  all_24_10 = e22
% 245.68/49.62  | | | |   (31)  op2(e23, e21) = e22
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | BETA: splitting (19) gives:
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | Case 1:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | |   (32)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 245.68/49.62  | | | | |           op2(e23, e23) = e23)
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | REF_CLOSE: (2), (4), (7), (9), (32) are inconsistent by sub-proof
% 245.68/49.62  | | | | |            #1304.
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | Case 2:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | |   (33)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.62  | | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 245.68/49.62  | | | | |           e23)
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | BETA: splitting (33) gives:
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | | Case 1:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (34)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | ALPHA: (34) implies:
% 245.68/49.62  | | | | | |   (35)  op2(e23, e22) = e23
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | REF_CLOSE: (7), (8), (12), (35) are inconsistent by sub-proof #1326.
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | Case 2:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | |   (36)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.62  | | | | | |           op2(e23, e20) = e23)
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | BETA: splitting (36) gives:
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | | Case 1:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (37)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | REF_CLOSE: (5), (30), (37) are inconsistent by sub-proof #1315.
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | Case 2:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | |   (38)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | ALPHA: (38) implies:
% 245.68/49.62  | | | | | | |   (39)  all_24_17 = e23
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | BETA: splitting (17) gives:
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (40)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24
% 245.68/49.62  | | | | | | | |           & op2(e23, e23) = e24)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | BETA: splitting (40) gives:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (41)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (9), (10), (41) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | |            #1303.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (42)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (3), (4), (7), (11), (16), (31), (42) are
% 245.68/49.62  | | | | | | | | |            inconsistent by sub-proof #1302.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | |   (43)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 =
% 245.68/49.62  | | | | | | | |           e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.68/49.62  | | | | | | | |           op2(e23, e20) = e24)
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | BETA: splitting (43) gives:
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 1:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (44)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (1), (18), (44) are inconsistent by sub-proof
% 245.68/49.62  | | | | | | | | |            #1301.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | Case 2:
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | |   (45)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.68/49.62  | | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | | REF_CLOSE: (14), (15), (30), (39), (45) are inconsistent by
% 245.68/49.62  | | | | | | | | |            sub-proof #1320.
% 245.68/49.62  | | | | | | | | | 
% 245.68/49.62  | | | | | | | | End of split
% 245.68/49.62  | | | | | | | | 
% 245.68/49.62  | | | | | | | End of split
% 245.68/49.62  | | | | | | | 
% 245.68/49.62  | | | | | | End of split
% 245.68/49.62  | | | | | | 
% 245.68/49.62  | | | | | End of split
% 245.68/49.62  | | | | | 
% 245.68/49.62  | | | | End of split
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | Case 2:
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | |   (46)  all_24_17 = e22 & op2(e23, e20) = e22
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | ALPHA: (46) implies:
% 245.68/49.62  | | | |   (47)  all_24_17 = e22
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (14), (15),
% 245.68/49.62  | | | |            (16), (17), (19), (47) are inconsistent by sub-proof #1299.
% 245.68/49.62  | | | | 
% 245.68/49.62  | | | End of split
% 245.68/49.62  | | | 
% 245.68/49.62  | | End of split
% 245.68/49.62  | | 
% 245.68/49.62  | End of split
% 245.68/49.62  | 
% 245.68/49.62  End of proof
% 245.68/49.62  
% 245.68/49.62  Sub-proof #1299 shows that the following formulas are inconsistent:
% 245.68/49.62  ----------------------------------------------------------------
% 245.68/49.62    (1)   ~ (e23 = e21)
% 245.68/49.62    (2)  op2(e23, e21) = e24
% 245.68/49.62    (3)  op2(e23, e23) = e21
% 245.68/49.62    (4)   ~ (e23 = e22)
% 245.68/49.62    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.62           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.62    (6)   ~ (e23 = e20)
% 245.68/49.62    (7)  all_24_2 = e21
% 245.68/49.62    (8)   ~ (e24 = e21)
% 245.68/49.62    (9)  op2(e23, e22) = e20
% 245.68/49.62    (10)   ~ (e24 = e22)
% 245.68/49.62    (11)   ~ (e24 = e23)
% 245.68/49.62    (12)  op2(e23, e21) = all_10_1
% 245.68/49.62    (13)  all_24_17 = e22
% 245.68/49.62    (14)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.68/49.62            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.62            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.68/49.62    (15)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.62            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.62            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.62  
% 245.68/49.62  Begin of proof
% 245.68/49.62  | 
% 245.68/49.62  | BETA: splitting (15) gives:
% 245.68/49.62  | 
% 245.68/49.62  | Case 1:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (16)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.68/49.62  | |             e23) = e23)
% 245.68/49.62  | | 
% 245.68/49.62  | | REF_CLOSE: (1), (3), (5), (7), (16) are inconsistent by sub-proof #1304.
% 245.68/49.62  | | 
% 245.68/49.62  | Case 2:
% 245.68/49.62  | | 
% 245.68/49.62  | |   (17)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.68/49.62  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.62  | | 
% 245.68/49.62  | | BETA: splitting (17) gives:
% 245.68/49.62  | | 
% 245.68/49.62  | | Case 1:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (18)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.62  | | | 
% 245.68/49.62  | | | ALPHA: (18) implies:
% 245.68/49.62  | | |   (19)  op2(e23, e22) = e23
% 245.68/49.62  | | | 
% 245.68/49.62  | | | REF_CLOSE: (5), (6), (9), (19) are inconsistent by sub-proof #1326.
% 245.68/49.62  | | | 
% 245.68/49.62  | | Case 2:
% 245.68/49.62  | | | 
% 245.68/49.62  | | |   (20)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.62  | | |           op2(e23, e20) = e23)
% 245.68/49.62  | | | 
% 245.68/49.62  | | | BETA: splitting (20) gives:
% 245.68/49.62  | | | 
% 245.68/49.62  | | | Case 1:
% 245.68/49.62  | | | | 
% 245.68/49.63  | | | |   (21)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | ALPHA: (21) implies:
% 245.68/49.63  | | | |   (22)  all_24_10 = e23
% 245.68/49.63  | | | |   (23)  op2(e23, e21) = e23
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | BETA: splitting (14) gives:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | Case 1:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (24)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.68/49.63  | | | | |           op2(e23, e23) = e24)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (24) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (25)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (7), (8), (25) are inconsistent by sub-proof #1303.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (26)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (26) implies:
% 245.68/49.63  | | | | | |   (27)  op2(e23, e23) = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | GROUND_INST: instantiating (5) with e24, all_10_1, e21, e23,
% 245.68/49.63  | | | | | |              simplifying with (2), (12) gives:
% 245.68/49.63  | | | | | |   (28)  all_10_1 = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | GROUND_INST: instantiating (5) with e23, all_10_1, e21, e23,
% 245.68/49.63  | | | | | |              simplifying with (12), (23) gives:
% 245.68/49.63  | | | | | |   (29)  all_10_1 = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | GROUND_INST: instantiating (5) with e21, e24, e23, e23, simplifying
% 245.68/49.63  | | | | | |              with (3), (27) gives:
% 245.68/49.63  | | | | | |   (30)  e24 = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | COMBINE_EQS: (28), (29) imply:
% 245.68/49.63  | | | | | |   (31)  e24 = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | SIMP: (31) implies:
% 245.68/49.63  | | | | | |   (32)  e24 = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | COMBINE_EQS: (30), (32) imply:
% 245.68/49.63  | | | | | |   (33)  e23 = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | SIMP: (33) implies:
% 245.68/49.63  | | | | | |   (34)  e23 = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REDUCE: (1), (34) imply:
% 245.68/49.63  | | | | | |   (35)  $false
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | CLOSE: (35) is inconsistent.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | Case 2:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (36)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.63  | | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) =
% 245.68/49.63  | | | | |           e24)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (36) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (37)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (37) implies:
% 245.68/49.63  | | | | | |   (38)  op2(e23, e22) = e24
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (2), (5), (6), (9), (12), (23), (38) are inconsistent by
% 245.68/49.63  | | | | | |            sub-proof #1314.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (39)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.68/49.63  | | | | | |           op2(e23, e20) = e24)
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | BETA: splitting (39) gives:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | Case 1:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (40)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | REF_CLOSE: (11), (22), (40) are inconsistent by sub-proof #1313.
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | Case 2:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (41)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | REF_CLOSE: (10), (13), (41) are inconsistent by sub-proof #1312.
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | End of split
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | End of split
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | Case 2:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (42)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | REF_CLOSE: (4), (13), (42) are inconsistent by sub-proof #1300.
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | End of split
% 245.68/49.63  | | | 
% 245.68/49.63  | | End of split
% 245.68/49.63  | | 
% 245.68/49.63  | End of split
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1300 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63    (2)  all_24_17 = e22
% 245.68/49.63    (3)   ~ (e23 = e22)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_17 = e23
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e23 = e22
% 245.68/49.63  | 
% 245.68/49.63  | SIMP: (5) implies:
% 245.68/49.63  |   (6)  e23 = e22
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (6) imply:
% 245.68/49.63  |   (7)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (7) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1301 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.63    (2)  all_24_5 = e20
% 245.68/49.63    (3)   ~ (e24 = e20)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_5 = e24
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e24 = e20
% 245.68/49.63  | 
% 245.68/49.63  | SIMP: (5) implies:
% 245.68/49.63  |   (6)  e24 = e20
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (6) imply:
% 245.68/49.63  |   (7)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (7) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1302 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  op2(e23, e21) = e22
% 245.68/49.63    (2)  op2(e23, e21) = e24
% 245.68/49.63    (3)  op2(e23, e23) = e21
% 245.68/49.63    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (5)   ~ (e22 = e21)
% 245.68/49.63    (6)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.63    (7)  op2(e23, e21) = all_10_1
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (6) implies:
% 245.68/49.63  |   (8)  op2(e23, e23) = e24
% 245.68/49.63  | 
% 245.68/49.63  | GROUND_INST: instantiating (4) with e24, all_10_1, e21, e23, simplifying with
% 245.68/49.63  |              (2), (7) gives:
% 245.68/49.63  |   (9)  all_10_1 = e24
% 245.68/49.63  | 
% 245.68/49.63  | GROUND_INST: instantiating (4) with e22, all_10_1, e21, e23, simplifying with
% 245.68/49.63  |              (1), (7) gives:
% 245.68/49.63  |   (10)  all_10_1 = e22
% 245.68/49.63  | 
% 245.68/49.63  | GROUND_INST: instantiating (4) with e21, e24, e23, e23, simplifying with (3),
% 245.68/49.63  |              (8) gives:
% 245.68/49.63  |   (11)  e24 = e21
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (9), (10) imply:
% 245.68/49.63  |   (12)  e24 = e22
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (11), (12) imply:
% 245.68/49.63  |   (13)  e22 = e21
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (5), (13) imply:
% 245.68/49.63  |   (14)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (14) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1303 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.63    (2)  all_24_2 = e21
% 245.68/49.63    (3)   ~ (e24 = e21)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_2 = e24
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e24 = e21
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1304 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)   ~ (e23 = e21)
% 245.68/49.63    (2)  op2(e23, e23) = e21
% 245.68/49.63    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (4)  all_24_2 = e21
% 245.68/49.63    (5)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.63           = e23)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | BETA: splitting (5) gives:
% 245.68/49.63  | 
% 245.68/49.63  | Case 1:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (6)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.68/49.63  | | 
% 245.68/49.63  | | ALPHA: (6) implies:
% 245.68/49.63  | |   (7)  all_24_2 = e23
% 245.68/49.63  | | 
% 245.68/49.63  | | COMBINE_EQS: (4), (7) imply:
% 245.68/49.63  | |   (8)  e23 = e21
% 245.68/49.63  | | 
% 245.68/49.63  | | REDUCE: (1), (8) imply:
% 245.68/49.63  | |   (9)  $false
% 245.68/49.63  | | 
% 245.68/49.63  | | CLOSE: (9) is inconsistent.
% 245.68/49.63  | | 
% 245.68/49.63  | Case 2:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (10)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.68/49.63  | | 
% 245.68/49.63  | | ALPHA: (10) implies:
% 245.68/49.63  | |   (11)  op2(e23, e23) = e23
% 245.68/49.63  | | 
% 245.68/49.63  | | REF_CLOSE: (1), (2), (3), (11) are inconsistent by sub-proof #1305.
% 245.68/49.63  | | 
% 245.68/49.63  | End of split
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1305 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (2)  op2(e23, e23) = e23
% 245.68/49.63    (3)  op2(e23, e23) = e21
% 245.68/49.63    (4)   ~ (e23 = e21)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | GROUND_INST: instantiating (1) with e21, e23, e23, e23, simplifying with (2),
% 245.68/49.63  |              (3) gives:
% 245.68/49.63  |   (5)  e23 = e21
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (4), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1306 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_3 = e20 & op2(e23, e23) = e20
% 245.68/49.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (3)  op2(e23, e23) = e21
% 245.68/49.63    (4)   ~ (e21 = e20)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (5)  op2(e23, e23) = e20
% 245.68/49.63  | 
% 245.68/49.63  | GROUND_INST: instantiating (2) with e21, e20, e23, e23, simplifying with (3),
% 245.68/49.63  |              (5) gives:
% 245.68/49.63  |   (6)  e21 = e20
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (4), (6) imply:
% 245.68/49.63  |   (7)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (7) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1307 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)   ~ (e24 = e20)
% 245.68/49.63    (2)   ~ (e23 = e21)
% 245.68/49.63    (3)  op2(e23, e21) = e24
% 245.68/49.63    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.68/49.63           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.68/49.63           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.68/49.63    (5)  op2(e23, e23) = e21
% 245.68/49.63    (6)   ~ (e23 = e22)
% 245.68/49.63    (7)   ~ (e22 = e20)
% 245.68/49.63    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (9)   ~ (e23 = e20)
% 245.68/49.63    (10)   ~ (e24 = e21)
% 245.68/49.63    (11)   ~ (e22 = e21)
% 245.68/49.63    (12)  op2(e23, e22) = e20
% 245.68/49.63    (13)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23, e23)
% 245.68/49.63            = e22) | (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 &
% 245.68/49.63            op2(e23, e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.68/49.63    (14)   ~ (e21 = e20)
% 245.68/49.63    (15)   ~ (e24 = e22)
% 245.68/49.63    (16)   ~ (e24 = e23)
% 245.68/49.63    (17)  op2(e23, e21) = all_10_1
% 245.68/49.63    (18)  all_24_2 = e20
% 245.68/49.63    (19)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.68/49.63            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.63            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.68/49.63    (20)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.63            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.63            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | BETA: splitting (13) gives:
% 245.68/49.63  | 
% 245.68/49.63  | Case 1:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (21)  (all_24_2 = e22 & op2(e23, e24) = e22) | (all_24_3 = e22 & op2(e23,
% 245.68/49.63  | |             e23) = e22)
% 245.68/49.63  | | 
% 245.68/49.63  | | BETA: splitting (21) gives:
% 245.68/49.63  | | 
% 245.68/49.63  | | Case 1:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (22)  all_24_2 = e22 & op2(e23, e24) = e22
% 245.68/49.63  | | | 
% 245.68/49.63  | | | ALPHA: (22) implies:
% 245.68/49.63  | | |   (23)  all_24_2 = e22
% 245.68/49.63  | | | 
% 245.68/49.63  | | | COMBINE_EQS: (18), (23) imply:
% 245.68/49.63  | | |   (24)  e22 = e20
% 245.68/49.63  | | | 
% 245.68/49.63  | | | REDUCE: (7), (24) imply:
% 245.68/49.63  | | |   (25)  $false
% 245.68/49.63  | | | 
% 245.68/49.63  | | | CLOSE: (25) is inconsistent.
% 245.68/49.63  | | | 
% 245.68/49.63  | | Case 2:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (26)  all_24_3 = e22 & op2(e23, e23) = e22
% 245.68/49.63  | | | 
% 245.68/49.63  | | | REF_CLOSE: (5), (8), (11), (26) are inconsistent by sub-proof #1331.
% 245.68/49.63  | | | 
% 245.68/49.63  | | End of split
% 245.68/49.63  | | 
% 245.68/49.63  | Case 2:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (27)  (all_24_5 = e22 & op2(e23, e22) = e22) | (all_24_10 = e22 & op2(e23,
% 245.68/49.63  | |             e21) = e22) | (all_24_17 = e22 & op2(e23, e20) = e22)
% 245.68/49.63  | | 
% 245.68/49.63  | | BETA: splitting (27) gives:
% 245.68/49.63  | | 
% 245.68/49.63  | | Case 1:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (28)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.68/49.63  | | | 
% 245.68/49.63  | | | REF_CLOSE: (7), (8), (12), (28) are inconsistent by sub-proof #1330.
% 245.68/49.63  | | | 
% 245.68/49.63  | | Case 2:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (29)  (all_24_10 = e22 & op2(e23, e21) = e22) | (all_24_17 = e22 &
% 245.68/49.63  | | |           op2(e23, e20) = e22)
% 245.68/49.63  | | | 
% 245.68/49.63  | | | BETA: splitting (29) gives:
% 245.68/49.63  | | | 
% 245.68/49.63  | | | Case 1:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (30)  all_24_10 = e22 & op2(e23, e21) = e22
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | ALPHA: (30) implies:
% 245.68/49.63  | | | |   (31)  all_24_10 = e22
% 245.68/49.63  | | | |   (32)  op2(e23, e21) = e22
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | BETA: splitting (4) gives:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | Case 1:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (33)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 &
% 245.68/49.63  | | | | |           op2(e23, e23) = e21)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (33) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (34)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (14), (18), (34) are inconsistent by sub-proof #1329.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (35)  all_24_3 = e21 & op2(e23, e23) = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (35) implies:
% 245.68/49.63  | | | | | |   (36)  all_24_3 = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (10), (12), (15), (16),
% 245.68/49.63  | | | | | |            (17), (18), (19), (20), (31), (32), (36) are inconsistent
% 245.68/49.63  | | | | | |            by sub-proof #1319.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | Case 2:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (37)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.68/49.63  | | | | |           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) =
% 245.68/49.63  | | | | |           e21)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (37) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (38)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (8), (12), (14), (38) are inconsistent by sub-proof
% 245.68/49.63  | | | | | |            #1318.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (39)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 245.68/49.63  | | | | | |           op2(e23, e20) = e21)
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | BETA: splitting (39) gives:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | Case 1:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (40)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | REF_CLOSE: (11), (31), (40) are inconsistent by sub-proof #1317.
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | Case 2:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (41)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | ALPHA: (41) implies:
% 245.68/49.63  | | | | | | |   (42)  all_24_17 = e21
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | BETA: splitting (20) gives:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (43)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23
% 245.68/49.63  | | | | | | | |           & op2(e23, e23) = e23)
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | BETA: splitting (43) gives:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (44)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (9), (18), (44) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1316.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (45)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | ALPHA: (45) implies:
% 245.68/49.63  | | | | | | | | |   (46)  all_24_3 = e23
% 245.68/49.63  | | | | | | | | |   (47)  op2(e23, e23) = e23
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | GROUND_INST: instantiating (8) with e21, e23, e23, e23,
% 245.68/49.63  | | | | | | | | |              simplifying with (5), (47) gives:
% 245.68/49.63  | | | | | | | | |   (48)  e23 = e21
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | COMBINE_EQS: (46), (48) imply:
% 245.68/49.63  | | | | | | | | |   (49)  all_24_3 = e21
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (10), (12), (15),
% 245.68/49.63  | | | | | | | | |            (16), (17), (18), (19), (20), (31), (32), (49) are
% 245.68/49.63  | | | | | | | | |            inconsistent by sub-proof #1319.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | End of split
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (50)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 =
% 245.68/49.63  | | | | | | | |           e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.63  | | | | | | | |           op2(e23, e20) = e23)
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | BETA: splitting (50) gives:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (51)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | ALPHA: (51) implies:
% 245.68/49.63  | | | | | | | | |   (52)  op2(e23, e22) = e23
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (8), (9), (12), (52) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1326.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (53)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 =
% 245.68/49.63  | | | | | | | | |           e23 & op2(e23, e20) = e23)
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | BETA: splitting (53) gives:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | |   (54)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | | REF_CLOSE: (6), (31), (54) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | | |            #1315.
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | |   (55)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | | ALPHA: (55) implies:
% 245.68/49.63  | | | | | | | | | |   (56)  all_24_17 = e23
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | | COMBINE_EQS: (42), (56) imply:
% 245.68/49.63  | | | | | | | | | |   (57)  e23 = e21
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | | REDUCE: (2), (57) imply:
% 245.68/49.63  | | | | | | | | | |   (58)  $false
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | | CLOSE: (58) is inconsistent.
% 245.68/49.63  | | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | End of split
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | End of split
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | End of split
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | End of split
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | End of split
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | Case 2:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (59)  all_24_17 = e22 & op2(e23, e20) = e22
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | ALPHA: (59) implies:
% 245.68/49.63  | | | |   (60)  all_24_17 = e22
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12), (14),
% 245.68/49.63  | | | |            (15), (16), (17), (18), (19), (20), (60) are inconsistent by
% 245.68/49.63  | | | |            sub-proof #1308.
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | End of split
% 245.68/49.63  | | | 
% 245.68/49.63  | | End of split
% 245.68/49.63  | | 
% 245.68/49.63  | End of split
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1308 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)   ~ (e24 = e20)
% 245.68/49.63    (2)   ~ (e23 = e21)
% 245.68/49.63    (3)  op2(e23, e21) = e24
% 245.68/49.63    (4)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23, e23)
% 245.68/49.63           = e21) | (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 &
% 245.68/49.63           op2(e23, e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.68/49.63    (5)   ~ (e23 = e22)
% 245.68/49.63    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.63           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.63    (7)   ~ (e23 = e20)
% 245.68/49.63    (8)   ~ (e24 = e21)
% 245.68/49.63    (9)   ~ (e22 = e21)
% 245.68/49.63    (10)  op2(e23, e22) = e20
% 245.68/49.63    (11)   ~ (e21 = e20)
% 245.68/49.63    (12)   ~ (e24 = e22)
% 245.68/49.63    (13)   ~ (e24 = e23)
% 245.68/49.63    (14)  op2(e23, e21) = all_10_1
% 245.68/49.63    (15)  all_24_2 = e20
% 245.68/49.63    (16)  all_24_17 = e22
% 245.68/49.63    (17)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.68/49.63            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.63            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.68/49.63    (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.63            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.63            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | BETA: splitting (4) gives:
% 245.68/49.63  | 
% 245.68/49.63  | Case 1:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (19)  (all_24_2 = e21 & op2(e23, e24) = e21) | (all_24_3 = e21 & op2(e23,
% 245.68/49.63  | |             e23) = e21)
% 245.68/49.63  | | 
% 245.68/49.63  | | BETA: splitting (19) gives:
% 245.68/49.63  | | 
% 245.68/49.63  | | Case 1:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (20)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.68/49.63  | | | 
% 245.68/49.63  | | | REF_CLOSE: (11), (15), (20) are inconsistent by sub-proof #1329.
% 245.68/49.63  | | | 
% 245.68/49.63  | | Case 2:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (21)  all_24_3 = e21 & op2(e23, e23) = e21
% 245.68/49.63  | | | 
% 245.68/49.63  | | | ALPHA: (21) implies:
% 245.68/49.63  | | |   (22)  all_24_3 = e21
% 245.68/49.63  | | | 
% 245.68/49.63  | | | BETA: splitting (18) gives:
% 245.68/49.63  | | | 
% 245.68/49.63  | | | Case 1:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (23)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 245.68/49.63  | | | |           op2(e23, e23) = e23)
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | REF_CLOSE: (2), (7), (15), (22), (23) are inconsistent by sub-proof
% 245.68/49.63  | | | |            #1327.
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | Case 2:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (24)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.63  | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | BETA: splitting (24) gives:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | Case 1:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (25)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | ALPHA: (25) implies:
% 245.68/49.63  | | | | |   (26)  op2(e23, e22) = e23
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | REF_CLOSE: (6), (7), (10), (26) are inconsistent by sub-proof #1326.
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | Case 2:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (27)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.63  | | | | |           op2(e23, e20) = e23)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (27) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (28)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (28) implies:
% 245.68/49.63  | | | | | |   (29)  all_24_10 = e23
% 245.68/49.63  | | | | | |   (30)  op2(e23, e21) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | BETA: splitting (17) gives:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | Case 1:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (31)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.68/49.63  | | | | | | |           op2(e23, e23) = e24)
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | BETA: splitting (31) gives:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (32)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REF_CLOSE: (1), (15), (32) are inconsistent by sub-proof #1324.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (33)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REF_CLOSE: (8), (22), (33) are inconsistent by sub-proof #1323.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | End of split
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | Case 2:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (34)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.68/49.63  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.68/49.63  | | | | | | |             e20) = e24)
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | BETA: splitting (34) gives:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (35)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | ALPHA: (35) implies:
% 245.68/49.63  | | | | | | | |   (36)  op2(e23, e22) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REF_CLOSE: (3), (6), (7), (10), (14), (30), (36) are
% 245.68/49.63  | | | | | | | |            inconsistent by sub-proof #1314.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (37)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.68/49.63  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | BETA: splitting (37) gives:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (38)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (13), (29), (38) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1313.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (39)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (12), (16), (39) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1312.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | End of split
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | End of split
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | End of split
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (40)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (5), (16), (40) are inconsistent by sub-proof #1311.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | End of split
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | End of split
% 245.68/49.63  | | | 
% 245.68/49.63  | | End of split
% 245.68/49.63  | | 
% 245.68/49.63  | Case 2:
% 245.68/49.63  | | 
% 245.68/49.63  | |   (41)  (all_24_5 = e21 & op2(e23, e22) = e21) | (all_24_10 = e21 & op2(e23,
% 245.68/49.63  | |             e21) = e21) | (all_24_17 = e21 & op2(e23, e20) = e21)
% 245.68/49.63  | | 
% 245.68/49.63  | | BETA: splitting (41) gives:
% 245.68/49.63  | | 
% 245.68/49.63  | | Case 1:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (42)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.68/49.63  | | | 
% 245.68/49.63  | | | REF_CLOSE: (6), (10), (11), (42) are inconsistent by sub-proof #1318.
% 245.68/49.63  | | | 
% 245.68/49.63  | | Case 2:
% 245.68/49.63  | | | 
% 245.68/49.63  | | |   (43)  (all_24_10 = e21 & op2(e23, e21) = e21) | (all_24_17 = e21 &
% 245.68/49.63  | | |           op2(e23, e20) = e21)
% 245.68/49.63  | | | 
% 245.68/49.63  | | | BETA: splitting (43) gives:
% 245.68/49.63  | | | 
% 245.68/49.63  | | | Case 1:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (44)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | ALPHA: (44) implies:
% 245.68/49.63  | | | |   (45)  all_24_10 = e21
% 245.68/49.63  | | | |   (46)  op2(e23, e21) = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | BETA: splitting (18) gives:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | Case 1:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (47)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 &
% 245.68/49.63  | | | | |           op2(e23, e23) = e23)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (47) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (48)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (7), (15), (48) are inconsistent by sub-proof #1316.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (49)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (49) implies:
% 245.68/49.63  | | | | | |   (50)  all_24_3 = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | BETA: splitting (17) gives:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | Case 1:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (51)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.68/49.63  | | | | | | |           op2(e23, e23) = e24)
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | BETA: splitting (51) gives:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (52)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REF_CLOSE: (1), (15), (52) are inconsistent by sub-proof #1324.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (53)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | ALPHA: (53) implies:
% 245.68/49.63  | | | | | | | |   (54)  all_24_3 = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | COMBINE_EQS: (50), (54) imply:
% 245.68/49.63  | | | | | | | |   (55)  e24 = e23
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | SIMP: (55) implies:
% 245.68/49.63  | | | | | | | |   (56)  e24 = e23
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REDUCE: (13), (56) imply:
% 245.68/49.63  | | | | | | | |   (57)  $false
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | CLOSE: (57) is inconsistent.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | End of split
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | Case 2:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (58)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24
% 245.68/49.63  | | | | | | |           & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.68/49.63  | | | | | | |             e20) = e24)
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | BETA: splitting (58) gives:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (59)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | ALPHA: (59) implies:
% 245.68/49.63  | | | | | | | |   (60)  op2(e23, e22) = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | GROUND_INST: instantiating (6) with e24, all_10_1, e21, e23,
% 245.68/49.63  | | | | | | | |              simplifying with (3), (14) gives:
% 245.68/49.63  | | | | | | | |   (61)  all_10_1 = e24
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | GROUND_INST: instantiating (6) with e21, all_10_1, e21, e23,
% 245.68/49.63  | | | | | | | |              simplifying with (14), (46) gives:
% 245.68/49.63  | | | | | | | |   (62)  all_10_1 = e21
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | GROUND_INST: instantiating (6) with e20, e24, e22, e23,
% 245.68/49.63  | | | | | | | |              simplifying with (10), (60) gives:
% 245.68/49.63  | | | | | | | |   (63)  e24 = e20
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | COMBINE_EQS: (61), (62) imply:
% 245.68/49.63  | | | | | | | |   (64)  e24 = e21
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | SIMP: (64) implies:
% 245.68/49.63  | | | | | | | |   (65)  e24 = e21
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | COMBINE_EQS: (63), (65) imply:
% 245.68/49.63  | | | | | | | |   (66)  e21 = e20
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | REDUCE: (11), (66) imply:
% 245.68/49.63  | | | | | | | |   (67)  $false
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | CLOSE: (67) is inconsistent.
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | |   (68)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.68/49.63  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | BETA: splitting (68) gives:
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 1:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (69)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (8), (45), (69) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1310.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | Case 2:
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | |   (70)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | | REF_CLOSE: (12), (16), (70) are inconsistent by sub-proof
% 245.68/49.63  | | | | | | | | |            #1312.
% 245.68/49.63  | | | | | | | | | 
% 245.68/49.63  | | | | | | | | End of split
% 245.68/49.63  | | | | | | | | 
% 245.68/49.63  | | | | | | | End of split
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | End of split
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | Case 2:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | |   (71)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.63  | | | | |           op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) =
% 245.68/49.63  | | | | |           e23)
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | BETA: splitting (71) gives:
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | | Case 1:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (72)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | ALPHA: (72) implies:
% 245.68/49.63  | | | | | |   (73)  op2(e23, e22) = e23
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | REF_CLOSE: (6), (7), (10), (73) are inconsistent by sub-proof #1326.
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | Case 2:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | |   (74)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.63  | | | | | |           op2(e23, e20) = e23)
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | BETA: splitting (74) gives:
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | | Case 1:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (75)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | ALPHA: (75) implies:
% 245.68/49.63  | | | | | | |   (76)  all_24_10 = e23
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | REF_CLOSE: (2), (45), (76) are inconsistent by sub-proof #1309.
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | Case 2:
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | |   (77)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | | REF_CLOSE: (5), (16), (77) are inconsistent by sub-proof #1311.
% 245.68/49.63  | | | | | | | 
% 245.68/49.63  | | | | | | End of split
% 245.68/49.63  | | | | | | 
% 245.68/49.63  | | | | | End of split
% 245.68/49.63  | | | | | 
% 245.68/49.63  | | | | End of split
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | Case 2:
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | |   (78)  all_24_17 = e21 & op2(e23, e20) = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | ALPHA: (78) implies:
% 245.68/49.63  | | | |   (79)  all_24_17 = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | COMBINE_EQS: (16), (79) imply:
% 245.68/49.63  | | | |   (80)  e22 = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | SIMP: (80) implies:
% 245.68/49.63  | | | |   (81)  e22 = e21
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | REDUCE: (9), (81) imply:
% 245.68/49.63  | | | |   (82)  $false
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | | CLOSE: (82) is inconsistent.
% 245.68/49.63  | | | | 
% 245.68/49.63  | | | End of split
% 245.68/49.63  | | | 
% 245.68/49.63  | | End of split
% 245.68/49.63  | | 
% 245.68/49.63  | End of split
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1309 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_10 = e23
% 245.68/49.63    (2)  all_24_10 = e21
% 245.68/49.63    (3)   ~ (e23 = e21)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (1), (2) imply:
% 245.68/49.63  |   (4)  e23 = e21
% 245.68/49.63  | 
% 245.68/49.63  | SIMP: (4) implies:
% 245.68/49.63  |   (5)  e23 = e21
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1310 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.63    (2)  all_24_10 = e21
% 245.68/49.63    (3)   ~ (e24 = e21)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_10 = e24
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e24 = e21
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1311 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.63    (2)  all_24_17 = e22
% 245.68/49.63    (3)   ~ (e23 = e22)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_17 = e23
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e23 = e22
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1312 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.68/49.63    (2)  all_24_17 = e22
% 245.68/49.63    (3)   ~ (e24 = e22)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_17 = e24
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.63  |   (5)  e24 = e22
% 245.68/49.63  | 
% 245.68/49.63  | REDUCE: (3), (5) imply:
% 245.68/49.63  |   (6)  $false
% 245.68/49.63  | 
% 245.68/49.63  | CLOSE: (6) is inconsistent.
% 245.68/49.63  | 
% 245.68/49.63  End of proof
% 245.68/49.63  
% 245.68/49.63  Sub-proof #1313 shows that the following formulas are inconsistent:
% 245.68/49.63  ----------------------------------------------------------------
% 245.68/49.63    (1)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.63    (2)  all_24_10 = e23
% 245.68/49.63    (3)   ~ (e24 = e23)
% 245.68/49.63  
% 245.68/49.63  Begin of proof
% 245.68/49.63  | 
% 245.68/49.63  | ALPHA: (1) implies:
% 245.68/49.63  |   (4)  all_24_10 = e24
% 245.68/49.63  | 
% 245.68/49.63  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e24 = e23
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1314 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  op2(e23, e21) = e24
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (3)   ~ (e23 = e20)
% 245.68/49.64    (4)  op2(e23, e22) = e24
% 245.68/49.64    (5)  op2(e23, e22) = e20
% 245.68/49.64    (6)  op2(e23, e21) = e23
% 245.68/49.64    (7)  op2(e23, e21) = all_10_1
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e24, all_10_1, e21, e23, simplifying with
% 245.68/49.64  |              (1), (7) gives:
% 245.68/49.64  |   (8)  all_10_1 = e24
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e23, all_10_1, e21, e23, simplifying with
% 245.68/49.64  |              (6), (7) gives:
% 245.68/49.64  |   (9)  all_10_1 = e23
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e20, e24, e22, e23, simplifying with (4),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (10)  e24 = e20
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (8), (9) imply:
% 245.68/49.64  |   (11)  e24 = e23
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (11) implies:
% 245.68/49.64  |   (12)  e24 = e23
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (10), (12) imply:
% 245.68/49.64  |   (13)  e23 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (13) imply:
% 245.68/49.64  |   (14)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (14) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1315 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.64    (2)  all_24_10 = e22
% 245.68/49.64    (3)   ~ (e23 = e22)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_10 = e23
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e23 = e22
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (5) implies:
% 245.68/49.64  |   (6)  e23 = e22
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1316 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.68/49.64    (2)  all_24_2 = e20
% 245.68/49.64    (3)   ~ (e23 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_2 = e23
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e23 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1317 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_10 = e21 & op2(e23, e21) = e21
% 245.68/49.64    (2)  all_24_10 = e22
% 245.68/49.64    (3)   ~ (e22 = e21)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_10 = e21
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e22 = e21
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (5) implies:
% 245.68/49.64  |   (6)  e22 = e21
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1318 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_5 = e21 & op2(e23, e22) = e21
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (3)  op2(e23, e22) = e20
% 245.68/49.64    (4)   ~ (e21 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op2(e23, e22) = e21
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e20, e21, e22, e23, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e21 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1319 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  op2(e23, e21) = e22
% 245.68/49.64    (2)   ~ (e24 = e20)
% 245.68/49.64    (3)   ~ (e23 = e21)
% 245.68/49.64    (4)  op2(e23, e21) = e24
% 245.68/49.64    (5)   ~ (e23 = e22)
% 245.68/49.64    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (7)   ~ (e23 = e20)
% 245.68/49.64    (8)   ~ (e24 = e21)
% 245.68/49.64    (9)  all_24_10 = e22
% 245.68/49.64    (10)  op2(e23, e22) = e20
% 245.68/49.64    (11)   ~ (e24 = e22)
% 245.68/49.64    (12)   ~ (e24 = e23)
% 245.68/49.64    (13)  op2(e23, e21) = all_10_1
% 245.68/49.64    (14)  all_24_2 = e20
% 245.68/49.64    (15)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 & op2(e23, e23)
% 245.68/49.64            = e24) | (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.64            op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) = e24)
% 245.68/49.64    (16)  all_24_3 = e21
% 245.68/49.64    (17)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.64            = e23) | (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 &
% 245.68/49.64            op2(e23, e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | BETA: splitting (17) gives:
% 245.68/49.64  | 
% 245.68/49.64  | Case 1:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (18)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23,
% 245.68/49.64  | |             e23) = e23)
% 245.68/49.64  | | 
% 245.68/49.64  | | REF_CLOSE: (3), (7), (14), (16), (18) are inconsistent by sub-proof #1327.
% 245.68/49.64  | | 
% 245.68/49.64  | Case 2:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (19)  (all_24_5 = e23 & op2(e23, e22) = e23) | (all_24_10 = e23 & op2(e23,
% 245.68/49.64  | |             e21) = e23) | (all_24_17 = e23 & op2(e23, e20) = e23)
% 245.68/49.64  | | 
% 245.68/49.64  | | BETA: splitting (19) gives:
% 245.68/49.64  | | 
% 245.68/49.64  | | Case 1:
% 245.68/49.64  | | | 
% 245.68/49.64  | | |   (20)  all_24_5 = e23 & op2(e23, e22) = e23
% 245.68/49.64  | | | 
% 245.68/49.64  | | | ALPHA: (20) implies:
% 245.68/49.64  | | |   (21)  op2(e23, e22) = e23
% 245.68/49.64  | | | 
% 245.68/49.64  | | | REF_CLOSE: (6), (7), (10), (21) are inconsistent by sub-proof #1326.
% 245.68/49.64  | | | 
% 245.68/49.64  | | Case 2:
% 245.68/49.64  | | | 
% 245.68/49.64  | | |   (22)  (all_24_10 = e23 & op2(e23, e21) = e23) | (all_24_17 = e23 &
% 245.68/49.64  | | |           op2(e23, e20) = e23)
% 245.68/49.64  | | | 
% 245.68/49.64  | | | BETA: splitting (22) gives:
% 245.68/49.64  | | | 
% 245.68/49.64  | | | Case 1:
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | |   (23)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | | REF_CLOSE: (5), (9), (23) are inconsistent by sub-proof #1325.
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | Case 2:
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | |   (24)  all_24_17 = e23 & op2(e23, e20) = e23
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | | ALPHA: (24) implies:
% 245.68/49.64  | | | |   (25)  all_24_17 = e23
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | | BETA: splitting (15) gives:
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | | Case 1:
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | |   (26)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.68/49.64  | | | | |           op2(e23, e23) = e24)
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | | BETA: splitting (26) gives:
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | | Case 1:
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | |   (27)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | REF_CLOSE: (2), (14), (27) are inconsistent by sub-proof #1324.
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | Case 2:
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | |   (28)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | REF_CLOSE: (8), (16), (28) are inconsistent by sub-proof #1323.
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | End of split
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | Case 2:
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | |   (29)  (all_24_5 = e24 & op2(e23, e22) = e24) | (all_24_10 = e24 &
% 245.68/49.64  | | | | |           op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23, e20) =
% 245.68/49.64  | | | | |           e24)
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | | BETA: splitting (29) gives:
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | | Case 1:
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | |   (30)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | ALPHA: (30) implies:
% 245.68/49.64  | | | | | |   (31)  all_24_5 = e24
% 245.68/49.64  | | | | | |   (32)  op2(e23, e22) = e24
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | GROUND_INST: instantiating (6) with e24, all_10_1, e21, e23,
% 245.68/49.64  | | | | | |              simplifying with (4), (13) gives:
% 245.68/49.64  | | | | | |   (33)  all_10_1 = e24
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | GROUND_INST: instantiating (6) with e22, all_10_1, e21, e23,
% 245.68/49.64  | | | | | |              simplifying with (1), (13) gives:
% 245.68/49.64  | | | | | |   (34)  all_10_1 = e22
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | GROUND_INST: instantiating (6) with e20, e24, e22, e23, simplifying
% 245.68/49.64  | | | | | |              with (10), (32) gives:
% 245.68/49.64  | | | | | |   (35)  e24 = e20
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | COMBINE_EQS: (33), (34) imply:
% 245.68/49.64  | | | | | |   (36)  e24 = e22
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | SIMP: (36) implies:
% 245.68/49.64  | | | | | |   (37)  e24 = e22
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | COMBINE_EQS: (35), (37) imply:
% 245.68/49.64  | | | | | |   (38)  e22 = e20
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | COMBINE_EQS: (31), (35) imply:
% 245.68/49.64  | | | | | |   (39)  all_24_5 = e20
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | BETA: splitting (15) gives:
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | Case 1:
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | |   (40)  (all_24_2 = e24 & op2(e23, e24) = e24) | (all_24_3 = e24 &
% 245.68/49.64  | | | | | | |           op2(e23, e23) = e24)
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | | BETA: splitting (40) gives:
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | | Case 1:
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | |   (41)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | | REF_CLOSE: (2), (14), (41) are inconsistent by sub-proof #1324.
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | Case 2:
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | |   (42)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | | REF_CLOSE: (8), (16), (42) are inconsistent by sub-proof #1323.
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | End of split
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | Case 2:
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | | BETA: splitting (29) gives:
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | | Case 1:
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | | REF_CLOSE: (2), (30), (39) are inconsistent by sub-proof #1322.
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | Case 2:
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | |   (43)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 =
% 245.68/49.64  | | | | | | | |           e24 & op2(e23, e20) = e24)
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | | REF_CLOSE: (9), (11), (12), (25), (43) are inconsistent by
% 245.68/49.64  | | | | | | | |            sub-proof #1320.
% 245.68/49.64  | | | | | | | | 
% 245.68/49.64  | | | | | | | End of split
% 245.68/49.64  | | | | | | | 
% 245.68/49.64  | | | | | | End of split
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | Case 2:
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | |   (44)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 &
% 245.68/49.64  | | | | | |           op2(e23, e20) = e24)
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | | REF_CLOSE: (9), (11), (12), (25), (44) are inconsistent by sub-proof
% 245.68/49.64  | | | | | |            #1320.
% 245.68/49.64  | | | | | | 
% 245.68/49.64  | | | | | End of split
% 245.68/49.64  | | | | | 
% 245.68/49.64  | | | | End of split
% 245.68/49.64  | | | | 
% 245.68/49.64  | | | End of split
% 245.68/49.64  | | | 
% 245.68/49.64  | | End of split
% 245.68/49.64  | | 
% 245.68/49.64  | End of split
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1320 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_10 = e22
% 245.68/49.64    (2)   ~ (e24 = e22)
% 245.68/49.64    (3)  all_24_17 = e23
% 245.68/49.64    (4)   ~ (e24 = e23)
% 245.68/49.64    (5)  (all_24_10 = e24 & op2(e23, e21) = e24) | (all_24_17 = e24 & op2(e23,
% 245.68/49.64             e20) = e24)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | BETA: splitting (5) gives:
% 245.68/49.64  | 
% 245.68/49.64  | Case 1:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (6)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.64  | | 
% 245.68/49.64  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1321.
% 245.68/49.64  | | 
% 245.68/49.64  | Case 2:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (7)  all_24_17 = e24 & op2(e23, e20) = e24
% 245.68/49.64  | | 
% 245.68/49.64  | | ALPHA: (7) implies:
% 245.68/49.64  | |   (8)  all_24_17 = e24
% 245.68/49.64  | | 
% 245.68/49.64  | | COMBINE_EQS: (3), (8) imply:
% 245.68/49.64  | |   (9)  e24 = e23
% 245.68/49.64  | | 
% 245.68/49.64  | | REDUCE: (4), (9) imply:
% 245.68/49.64  | |   (10)  $false
% 245.68/49.64  | | 
% 245.68/49.64  | | CLOSE: (10) is inconsistent.
% 245.68/49.64  | | 
% 245.68/49.64  | End of split
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1321 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_10 = e24 & op2(e23, e21) = e24
% 245.68/49.64    (2)  all_24_10 = e22
% 245.68/49.64    (3)   ~ (e24 = e22)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_10 = e24
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e24 = e22
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1322 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_5 = e24 & op2(e23, e22) = e24
% 245.68/49.64    (2)  all_24_5 = e20
% 245.68/49.64    (3)   ~ (e24 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_5 = e24
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e24 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1323 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_3 = e24 & op2(e23, e23) = e24
% 245.68/49.64    (2)  all_24_3 = e21
% 245.68/49.64    (3)   ~ (e24 = e21)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_3 = e24
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e24 = e21
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (5) implies:
% 245.68/49.64  |   (6)  e24 = e21
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1324 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_2 = e24 & op2(e23, e24) = e24
% 245.68/49.64    (2)  all_24_2 = e20
% 245.68/49.64    (3)   ~ (e24 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_2 = e24
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e24 = e20
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (5) implies:
% 245.68/49.64  |   (6)  e24 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1325 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_10 = e23 & op2(e23, e21) = e23
% 245.68/49.64    (2)  all_24_10 = e22
% 245.68/49.64    (3)   ~ (e23 = e22)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_10 = e23
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e23 = e22
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1326 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (2)  op2(e23, e22) = e23
% 245.68/49.64    (3)  op2(e23, e22) = e20
% 245.68/49.64    (4)   ~ (e23 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (1) with e20, e23, e22, e23, simplifying with (2),
% 245.68/49.64  |              (3) gives:
% 245.68/49.64  |   (5)  e23 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1327 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ~ (e23 = e21)
% 245.68/49.64    (2)   ~ (e23 = e20)
% 245.68/49.64    (3)  (all_24_2 = e23 & op2(e23, e24) = e23) | (all_24_3 = e23 & op2(e23, e23)
% 245.68/49.64           = e23)
% 245.68/49.64    (4)  all_24_2 = e20
% 245.68/49.64    (5)  all_24_3 = e21
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | BETA: splitting (3) gives:
% 245.68/49.64  | 
% 245.68/49.64  | Case 1:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (6)  all_24_2 = e23 & op2(e23, e24) = e23
% 245.68/49.64  | | 
% 245.68/49.64  | | ALPHA: (6) implies:
% 245.68/49.64  | |   (7)  all_24_2 = e23
% 245.68/49.64  | | 
% 245.68/49.64  | | COMBINE_EQS: (4), (7) imply:
% 245.68/49.64  | |   (8)  e23 = e20
% 245.68/49.64  | | 
% 245.68/49.64  | | SIMP: (8) implies:
% 245.68/49.64  | |   (9)  e23 = e20
% 245.68/49.64  | | 
% 245.68/49.64  | | REDUCE: (2), (9) imply:
% 245.68/49.64  | |   (10)  $false
% 245.68/49.64  | | 
% 245.68/49.64  | | CLOSE: (10) is inconsistent.
% 245.68/49.64  | | 
% 245.68/49.64  | Case 2:
% 245.68/49.64  | | 
% 245.68/49.64  | |   (11)  all_24_3 = e23 & op2(e23, e23) = e23
% 245.68/49.64  | | 
% 245.68/49.64  | | ALPHA: (11) implies:
% 245.68/49.64  | |   (12)  all_24_3 = e23
% 245.68/49.64  | | 
% 245.68/49.64  | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #1328.
% 245.68/49.64  | | 
% 245.68/49.64  | End of split
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1328 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_3 = e23
% 245.68/49.64    (2)  all_24_3 = e21
% 245.68/49.64    (3)   ~ (e23 = e21)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (1), (2) imply:
% 245.68/49.64  |   (4)  e23 = e21
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (4) implies:
% 245.68/49.64  |   (5)  e23 = e21
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1329 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_2 = e21 & op2(e23, e24) = e21
% 245.68/49.64    (2)  all_24_2 = e20
% 245.68/49.64    (3)   ~ (e21 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (4)  all_24_2 = e21
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (2), (4) imply:
% 245.68/49.64  |   (5)  e21 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1330 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_5 = e22 & op2(e23, e22) = e22
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (3)  op2(e23, e22) = e20
% 245.68/49.64    (4)   ~ (e22 = e20)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op2(e23, e22) = e22
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e20, e22, e22, e23, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e22 = e20
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1331 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_24_3 = e22 & op2(e23, e23) = e22
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op2(v3, v2) = v1) |  ~ (op2(v3, v2) = v0))
% 245.68/49.64    (3)  op2(e23, e23) = e21
% 245.68/49.64    (4)   ~ (e22 = e21)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op2(e23, e23) = e22
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e21, e22, e23, e23, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e22 = e21
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1332 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (2)  op1(e13, e10) = e13
% 245.68/49.64    (3)  op1(e13, e10) = e12
% 245.68/49.64    (4)   ~ (e13 = e12)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (1) with e12, e13, e10, e13, simplifying with (2),
% 245.68/49.64  |              (3) gives:
% 245.68/49.64  |   (5)  e13 = e12
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1333 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (2)  op1(e13, e11) = e14
% 245.68/49.64    (3)  op1(e13, e11) = e13
% 245.68/49.64    (4)   ~ (e14 = e13)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (1) with e14, e13, e11, e13, simplifying with (2),
% 245.68/49.64  |              (3) gives:
% 245.68/49.64  |   (5)  e14 = e13
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1334 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (2)  op1(e13, e12) = e13
% 245.68/49.64    (3)  op1(e13, e12) = e10
% 245.68/49.64    (4)   ~ (e13 = e10)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (1) with e10, e13, e12, e13, simplifying with (2),
% 245.68/49.64  |              (3) gives:
% 245.68/49.64  |   (5)  e13 = e10
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1335 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_25_3 = e13 & op1(e13, e13) = e13
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (3)  op1(e13, e13) = e11
% 245.68/49.64    (4)   ~ (e13 = e11)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op1(e13, e13) = e13
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e11, e13, e13, e13, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e13 = e11
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1336 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (2)  op1(e13, e11) = e14
% 245.68/49.64    (3)  op1(e13, e11) = e12
% 245.68/49.64    (4)   ~ (e14 = e12)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (1) with e14, e12, e11, e13, simplifying with (2),
% 245.68/49.64  |              (3) gives:
% 245.68/49.64  |   (5)  e14 = e12
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1337 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_25_5 = e12 & op1(e13, e12) = e12
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (3)  op1(e13, e12) = e10
% 245.68/49.64    (4)   ~ (e12 = e10)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op1(e13, e12) = e12
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e10, e12, e12, e13, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e12 = e10
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1338 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_25_3 = e12 & op1(e13, e13) = e12
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (3)  op1(e13, e13) = e11
% 245.68/49.64    (4)   ~ (e12 = e11)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op1(e13, e13) = e12
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with e11, e12, e13, e13, simplifying with (3),
% 245.68/49.64  |              (5) gives:
% 245.68/49.64  |   (6)  e12 = e11
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1339 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_25_2 = e12
% 245.68/49.64    (2)  all_25_2 = e11
% 245.68/49.64    (3)   ~ (e12 = e11)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | COMBINE_EQS: (1), (2) imply:
% 245.68/49.64  |   (4)  e12 = e11
% 245.68/49.64  | 
% 245.68/49.64  | SIMP: (4) implies:
% 245.68/49.64  |   (5)  e12 = e11
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (3), (5) imply:
% 245.68/49.64  |   (6)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (6) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  
% 245.68/49.64  Sub-proof #1340 shows that the following formulas are inconsistent:
% 245.68/49.64  ----------------------------------------------------------------
% 245.68/49.64    (1)  all_25_9 = e14 & op1(e14, e11) = e14
% 245.68/49.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 245.68/49.64           (op1(v3, v2) = v1) |  ~ (op1(v3, v2) = v0))
% 245.68/49.64    (3)  op1(e14, e11) = all_14_15
% 245.68/49.64    (4)   ~ (all_14_15 = e14)
% 245.68/49.64  
% 245.68/49.64  Begin of proof
% 245.68/49.64  | 
% 245.68/49.64  | ALPHA: (1) implies:
% 245.68/49.64  |   (5)  op1(e14, e11) = e14
% 245.68/49.64  | 
% 245.68/49.64  | GROUND_INST: instantiating (2) with all_14_15, e14, e11, e14, simplifying with
% 245.68/49.64  |              (3), (5) gives:
% 245.68/49.64  |   (6)  all_14_15 = e14
% 245.68/49.64  | 
% 245.68/49.64  | REDUCE: (4), (6) imply:
% 245.68/49.64  |   (7)  $false
% 245.68/49.64  | 
% 245.68/49.64  | CLOSE: (7) is inconsistent.
% 245.68/49.64  | 
% 245.68/49.64  End of proof
% 245.68/49.64  % SZS output end Proof for theBenchmark
% 245.68/49.64  
% 245.68/49.64  49038ms
%------------------------------------------------------------------------------